From b912bdc1e8de4b1e1a7a14a14d2e006b319f6443 Mon Sep 17 00:00:00 2001
From: Leto_b <bingqian.bai@timecho.com>
Date: Wed, 3 Dec 2025 10:53:07 +0800
Subject: [PATCH 1/3] add window function to tablemodel

---
 .../public/img/window-function-1.png          |  Bin 0 -> 532355 bytes
 .../public/img/window-function-2.png          |  Bin 0 -> 295573 bytes
 .../public/img/window-function-3.png          |  Bin 0 -> 346983 bytes
 .../public/img/window-function-4.png          |  Bin 0 -> 96164 bytes
 .../public/img/window-function-5.png          |  Bin 0 -> 103662 bytes
 .../public/img/window-function-6.png          |  Bin 0 -> 128165 bytes
 src/.vuepress/sidebar/V2.0.x/en-Table.ts      |    2 +-
 src/.vuepress/sidebar/V2.0.x/zh-Table.ts      |    2 +-
 .../sidebar_timecho/V2.0.x/en-Table.ts        |    2 +-
 .../sidebar_timecho/V2.0.x/zh-Table.ts        |    2 +-
 .../Table/SQL-Manual/Featured-Functions.md    |  680 +-------
 .../SQL-Manual/Featured-Functions_apache.md   |  695 ++++++++
 .../SQL-Manual/Featured-Functions_timecho.md  | 1433 +++++++++++++++++
 .../SQL-Manual/Featured-Functions.md          |  680 +-------
 .../SQL-Manual/Featured-Functions_apache.md   |  695 ++++++++
 .../SQL-Manual/Featured-Functions_timecho.md  | 1433 +++++++++++++++++
 .../Table/SQL-Manual/Featured-Functions.md    |  682 +-------
 .../SQL-Manual/Featured-Functions_apache.md   |  699 ++++++++
 .../SQL-Manual/Featured-Functions_timecho.md  | 1431 ++++++++++++++++
 .../SQL-Manual/Featured-Functions.md          |  682 +-------
 .../SQL-Manual/Featured-Functions_apache.md   |  699 ++++++++
 .../SQL-Manual/Featured-Functions_timecho.md  | 1431 ++++++++++++++++
 22 files changed, 8534 insertions(+), 2714 deletions(-)
 create mode 100644 src/.vuepress/public/img/window-function-1.png
 create mode 100644 src/.vuepress/public/img/window-function-2.png
 create mode 100644 src/.vuepress/public/img/window-function-3.png
 create mode 100644 src/.vuepress/public/img/window-function-4.png
 create mode 100644 src/.vuepress/public/img/window-function-5.png
 create mode 100644 src/.vuepress/public/img/window-function-6.png
 create mode 100644 src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md
 create mode 100644 src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
 create mode 100644 src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md
 create mode 100644 src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
 create mode 100644 src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md
 create mode 100644 src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
 create mode 100644 src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md
 create mode 100644 src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md

diff --git a/src/.vuepress/public/img/window-function-1.png b/src/.vuepress/public/img/window-function-1.png
new file mode 100644
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diff --git a/src/.vuepress/sidebar/V2.0.x/en-Table.ts b/src/.vuepress/sidebar/V2.0.x/en-Table.ts
index 630f48597..33f5e8307 100644
--- a/src/.vuepress/sidebar/V2.0.x/en-Table.ts
+++ b/src/.vuepress/sidebar/V2.0.x/en-Table.ts
@@ -222,7 +222,7 @@ export const enSidebar = {
           collapsible: true,
           children: [
             { text: 'Basis Functions', link: 'Basis-Function' },
-            { text: 'Featured Functions', link: 'Featured-Functions' },
+            { text: 'Featured Functions', link: 'Featured-Functions_apache' },
           ],
         },
 
diff --git a/src/.vuepress/sidebar/V2.0.x/zh-Table.ts b/src/.vuepress/sidebar/V2.0.x/zh-Table.ts
index 48c58a8d5..1b5b05a91 100644
--- a/src/.vuepress/sidebar/V2.0.x/zh-Table.ts
+++ b/src/.vuepress/sidebar/V2.0.x/zh-Table.ts
@@ -212,7 +212,7 @@ export const zhSidebar = {
           collapsible: true,
           children: [
             { text: '基础函数', link: 'Basis-Function' },
-            { text: '特色函数', link: 'Featured-Functions' },
+            { text: '特色函数', link: 'Featured-Functions_apache' },
           ],
         },
 
diff --git a/src/.vuepress/sidebar_timecho/V2.0.x/en-Table.ts b/src/.vuepress/sidebar_timecho/V2.0.x/en-Table.ts
index 8dccc2b19..a9e010371 100644
--- a/src/.vuepress/sidebar_timecho/V2.0.x/en-Table.ts
+++ b/src/.vuepress/sidebar_timecho/V2.0.x/en-Table.ts
@@ -227,7 +227,7 @@ export const enSidebar = {
           collapsible: true,
           children: [
             { text: 'Basis Functions', link: 'Basis-Function' },
-            { text: 'Featured Functions', link: 'Featured-Functions' },
+            { text: 'Featured Functions', link: 'Featured-Functions_timecho' },
           ],
         },
 
diff --git a/src/.vuepress/sidebar_timecho/V2.0.x/zh-Table.ts b/src/.vuepress/sidebar_timecho/V2.0.x/zh-Table.ts
index 5b22eb6d2..c24874a25 100644
--- a/src/.vuepress/sidebar_timecho/V2.0.x/zh-Table.ts
+++ b/src/.vuepress/sidebar_timecho/V2.0.x/zh-Table.ts
@@ -216,7 +216,7 @@ export const zhSidebar = {
           collapsible: true,
           children: [
             { text: '基础函数', link: 'Basis-Function' },
-            { text: '特色函数', link: 'Featured-Functions' },
+            { text: '特色函数', link: 'Featured-Functions_timecho' },
           ],
         },
 
diff --git a/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md
index d0b771fee..c3baac8b7 100644
--- a/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md
+++ b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md
@@ -1,3 +1,6 @@
+---
+redirectTo: Featured-Functions_apache.html
+---
 <!--
 
     Licensed to the Apache Software Foundation (ASF) under one
@@ -17,679 +20,4 @@
     specific language governing permissions and limitations
     under the License.
 
--->
-# Featured Functions
-
-## 1. Downsampling Functions
-
-### 1.1 `date_bin` Function
-
-#### **Description**
-
-The `date_bin` function is a scalar function that aligns timestamps to the start of specified time intervals. It is commonly used with the `GROUP BY` clause for downsampling.
-
-- **Partial Intervals May Be Empty:** Only timestamps that meet the conditions are aligned; missing intervals are not filled.
-- **All Intervals Return Empty:** If no data exists within the query range, the downsampling result is an empty set.
-
-#### **Usage Examples**
-
-[Sample Dataset](../Reference/Sample-Data.md): The example data page contains SQL statements for building table structures and inserting data. Download and execute these statements in the IoTDB CLI to import the data into IoTDB. You can use this data to test and execute the SQL statements in the examples and obtain the corresponding results.
-
-**Example 1: Hourly Average Temperature for Device 100**
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-**Example 2: Hourly Average Temperature for Each Device**
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-GROUP BY 1, device_id;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-29T11:00:00.000+08:00|      100|    null|
-|2024-11-29T18:00:00.000+08:00|      100|    90.0|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-29T10:00:00.000+08:00|      101|    85.0|
-|2024-11-27T16:00:00.000+08:00|      101|    85.0|
-+-----------------------------+---------+--------+
-```
-
-**Example 3: Hourly Average Temperature for All Devices**
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-  FROM table1
-  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-  group by 1;  
-```
-
-**Result**
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T10:00:00.000+08:00|    85.0|
-|2024-11-27T16:00:00.000+08:00|    85.0|
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-### 1.2 `date_bin_gapfill` Function
-
-#### **Description:**
-
-The `date_bin_gapfill` function is an extension of `date_bin` that fills in missing time intervals, returning a complete time series.
-
-- **Partial Intervals May Be Empty**: Aligns timestamps for data that meets the conditions and fills in missing intervals.
-- **All Intervals Return Empty**: If no data exists within the query range, the result is an empty set.
-
-#### **Limitations:**
-
-1. The function must always be used with the `GROUP BY` clause. If used elsewhere, it behaves like `date_bin` without gap-filling.
-2. A `GROUP BY` clause can contain only one instance of date_bin_gapfill. Multiple calls will result in an error.
-3. The `GAPFILL` operation occurs after the `HAVING` clause and before the `FILL` clause.
-4. The `WHERE` clause must include time filters in one of the following forms:
-   1. `time >= XXX AND time <= XXX`
-   2. `time > XXX AND time < XXX`
-   3. `time BETWEEN XXX AND XXX`
-5. If additional time filters or conditions are used, an error is raised. Time conditions and other value filters must be connected using the `AND` operator.
-6. If `startTime` and `endTime` cannot be inferred from the `WHERE` clause, an error is raised.
-
-**Usage Examples**
-
-**Example 1: Fill Missing Intervals**
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-28T07:00:00.000+08:00|    null|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-|2024-11-28T12:00:00.000+08:00|    null|
-|2024-11-28T13:00:00.000+08:00|    null|
-|2024-11-28T14:00:00.000+08:00|    null|
-|2024-11-28T15:00:00.000+08:00|    null|
-|2024-11-28T16:00:00.000+08:00|    null|
-+-----------------------------+--------+
-```
-
-**Example 2: Fill Missing Intervals with Device Grouping**
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
-GROUP BY 1, device_id;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-28T07:00:00.000+08:00|      100|    null|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-28T12:00:00.000+08:00|      100|    null|
-|2024-11-28T13:00:00.000+08:00|      100|    null|
-|2024-11-28T14:00:00.000+08:00|      100|    null|
-|2024-11-28T15:00:00.000+08:00|      100|    null|
-|2024-11-28T16:00:00.000+08:00|      100|    null|
-+-----------------------------+---------+--------+
-```
-
-**Example 3: Empty Result Set for No Data in Range**
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
-GROUP BY 1, device_id;
-```
-
-**Result**
-
-```Plain
-+---------+---------+--------+
-|hour_time|device_id|avg_temp|
-+---------+---------+--------+
-+---------+---------+--------+
-```
-
-## 2. `DIFF` Function
-
-### 2.1 **Description:**
-
-- The `DIFF` function calculates the difference between the current row and the previous row. For the first row, it returns `NULL` since there is no previous row.
-
-### 2.2 **Function Definition:**
-
-```
-DIFF(numberic[, boolean]) -> Double
-```
-
-### 2.3 **Parameters:**
-
-#### **First Parameter (numeric):**
-
-- **Type**: Must be numeric (`INT32`, `INT64`, `FLOAT`, `DOUBLE`).
-- **Purpose**: Specifies the column for which to calculate the difference.
-
-#### **Second Parameter (boolean, optional):**
-
-- **Type**: Boolean (`true` or `false`).
-- **Default**: `true`.
-- **Purpose**:
-  - `true`: Ignores `NULL` values and uses the first non-`NULL` value for calculation. If no non-`NULL` value exists, returns `NULL`.
-  - `false`: Does not ignore `NULL` values. If the previous row is `NULL`, the result is `NULL`.
-
-### 2.4 **Notes:**
-
-- In **tree models**, the second parameter must be specified as `'ignoreNull'='true'` or `'ignoreNull'='false'`.
-- In **table models**, simply use `true` or `false`. Using `'ignoreNull'='true'` or `'ignoreNull'='false'` in table models results in a string comparison and always evaluates to `false`.
-
-### 2.5 **Usage Examples**
-
-#### **Example 1: Ignore NULL Values**
-
-```SQL
-SELECT time, DIFF(temperature) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|      0.0|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-#### **Example 2: Do Not Ignore NULL Values**
-
-```SQL
-SELECT time, DIFF(temperature, false) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|     null|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-#### **Example 3: Full Example**
-
-```SQL
-SELECT time, temperature, 
-       DIFF(temperature) AS diff_temp_1,
-       DIFF(temperature, false) AS diff_temp_2
-FROM table1 
-WHERE device_id = '100';
-```
-
-**Result**
-
-```Plain
-+-----------------------------+-----------+-----------+-----------+
-|                         time|temperature|diff_temp_1|diff_temp_2|
-+-----------------------------+-----------+-----------+-----------+
-|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
-|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
-|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
-|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
-|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
-|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
-|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
-|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
-+-----------------------------+-----------+-----------+-----------+
-```
-
-## 3 Timeseries Windowing Functions
-
-The sample data is as follows:
-
-```SQL
-IoTDB> SELECT * FROM bid;
-+-----------------------------+--------+-----+
-|                         time|stock_id|price|
-+-----------------------------+--------+-----+
-|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+--------+-----+
-
--- Create table statement
-CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
--- Insert data
-INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
-```
-
-### 3.1 HOP
-
-#### Function Description
-
-The HOP function segments data into overlapping time windows for analysis, assigning each row to all windows that overlap with its timestamp. If windows overlap (when SLIDE < SIZE), data will be duplicated across multiple windows.
-
-#### Function Definition
-
-```SQL
-HOP(data, timecol, size, slide[, origin])
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                      | Description             |
-| ----------- | -------- | --------------------------------- | ------------------------- |
-| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
-| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
-| SIZE      | Scalar | Long integer                    | Window size             |
-| SLIDE     | Scalar | Long integer                    | Sliding step            |
-| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
-
-
-#### Returned Results
-
-The HOP function returns:
-
-* `window_start`: Window start time (inclusive)
-* `window_end`: Window end time (exclusive)
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```SQL
-IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-### 3.2 SESSION
-
-#### Function Description
-
-The SESSION function groups data into sessions based on time intervals. It checks the time gap between consecutive rows—rows with gaps smaller than the threshold (GAP) are grouped into the current window, while larger gaps trigger a new window.
-
-#### Function Definition
-
-```SQL
-SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
-```
-#### Parameter Description
-
-| Parameter | Type   | Attributes                 | Description                          |
-| ----------- | -------- | ---------------------------- | -------------------------------------- |
-| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
-| TIMECOL   | Scalar | String (default: 'time')   | Time column name                     |
-| GAP       | Scalar | Long integer               | Session gap threshold                |
-
-#### Returned Results
-
-The SESSION function returns:
-
-* `window_start`: Time of the first row in the session
-* `window_end`: Time of the last row in the session
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```SQL
-IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY SESSION when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-### 3.3 VARIATION
-
-#### Function Description
-
-The VARIATION function groups data based on value differences. The first row becomes the baseline for the first window. Subsequent rows are compared to the baseline—if the difference is within the threshold (DELTA), they join the current window; otherwise, a new window starts with that row as the new baseline.
-
-#### Function Definition
-
-```sql
-VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                 | Description                          |
-| ----------- | -------- | ---------------------------- | -------------------------------------- |
-| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
-| COL       | Scalar | String                     | Column for difference calculation    |
-| DELTA     | Scalar | Float                      | Difference threshold                 |
-
-#### Returned Results
-
-The VARIATION function returns:
-
-* `window_index`: Window identifier
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```sql
-IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY VARIATION when combined with GROUP BY
-IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-### 3.4 CAPACITY
-
-#### Function Description
-
-The CAPACITY function groups data into fixed-size windows, where each window contains up to SIZE rows.
-
-#### Function Definition
-
-```sql
-CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                 | Description                          |
-| ----------- | -------- | ---------------------------- | -------------------------------------- |
-| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
-| SIZE      | Scalar | Long integer               | Window size (row count)              |
-
-#### Returned Results
-
-The CAPACITY function returns:
-
-* `window_index`: Window identifier
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```sql
-IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY COUNT when combined with GROUP BY
-IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                   start_time|                     end_time|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
-|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-### 3.5 TUMBLE
-
-#### Function Description
-
-The TUMBLE function assigns each row to a non-overlapping, fixed-size time window based on a timestamp attribute.
-
-#### Function Definition
-
-```sql
-TUMBLE(data, timecol, size[, origin])
-```
-#### Parameter Description
-
-| Parameter | Type   | Attributes                      | Description             |
-| ----------- | -------- | --------------------------------- | ------------------------- |
-| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
-| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
-| SIZE      | Scalar | Long integer (positive)         | Window size             |
-| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
-
-#### Returned Results
-
-The TUMBLE function returns:
-
-* `window_start`: Window start time (inclusive)
-* `window_end`: Window end time (exclusive)
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```SQL
-IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-### 3.6 CUMULATE
-
-#### Function Description
-
-The CUMULATE function creates expanding windows from an initial window, maintaining the same start time while incrementally extending the end time by STEP until reaching SIZE. Each window contains all elements within its range. For example, with a 1-hour STEP and 24-hour SIZE, daily windows would be: `[00:00, 01:00)`, `[00:00, 02:00)`, ..., `[00:00, 24:00)`.
-
-#### Function Definition
-
-```sql
-CUMULATE(data, timecol, size, step[, origin])
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                      | Description                                       |
-| ----------- | -------- | --------------------------------- | --------------------------------------------------- |
-| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table                                       |
-| TIMECOL   | Scalar | String (default: 'time')        | Time column                                       |
-| SIZE      | Scalar | Long integer (positive)         | Window size (must be an integer multiple of STEP) |
-| STEP      | Scalar | Long integer (positive)         | Expansion step                                    |
-| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time                           |
-
-> Note: An error `Cumulative table function requires size must be an integral multiple of step` occurs if SIZE is not divisible by STEP.
-
-#### Returned Results
-
-The CUMULATE function returns:
-
-* `window_start`: Window start time (inclusive)
-* `window_end`: Window end time (exclusive)
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```sql
-IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
+-->
\ No newline at end of file
diff --git a/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md
new file mode 100644
index 000000000..d0b771fee
--- /dev/null
+++ b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md
@@ -0,0 +1,695 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+# Featured Functions
+
+## 1. Downsampling Functions
+
+### 1.1 `date_bin` Function
+
+#### **Description**
+
+The `date_bin` function is a scalar function that aligns timestamps to the start of specified time intervals. It is commonly used with the `GROUP BY` clause for downsampling.
+
+- **Partial Intervals May Be Empty:** Only timestamps that meet the conditions are aligned; missing intervals are not filled.
+- **All Intervals Return Empty:** If no data exists within the query range, the downsampling result is an empty set.
+
+#### **Usage Examples**
+
+[Sample Dataset](../Reference/Sample-Data.md): The example data page contains SQL statements for building table structures and inserting data. Download and execute these statements in the IoTDB CLI to import the data into IoTDB. You can use this data to test and execute the SQL statements in the examples and obtain the corresponding results.
+
+**Example 1: Hourly Average Temperature for Device 100**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+**Example 2: Hourly Average Temperature for Each Device**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Hourly Average Temperature for All Devices**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+### 1.2 `date_bin_gapfill` Function
+
+#### **Description:**
+
+The `date_bin_gapfill` function is an extension of `date_bin` that fills in missing time intervals, returning a complete time series.
+
+- **Partial Intervals May Be Empty**: Aligns timestamps for data that meets the conditions and fills in missing intervals.
+- **All Intervals Return Empty**: If no data exists within the query range, the result is an empty set.
+
+#### **Limitations:**
+
+1. The function must always be used with the `GROUP BY` clause. If used elsewhere, it behaves like `date_bin` without gap-filling.
+2. A `GROUP BY` clause can contain only one instance of date_bin_gapfill. Multiple calls will result in an error.
+3. The `GAPFILL` operation occurs after the `HAVING` clause and before the `FILL` clause.
+4. The `WHERE` clause must include time filters in one of the following forms:
+   1. `time >= XXX AND time <= XXX`
+   2. `time > XXX AND time < XXX`
+   3. `time BETWEEN XXX AND XXX`
+5. If additional time filters or conditions are used, an error is raised. Time conditions and other value filters must be connected using the `AND` operator.
+6. If `startTime` and `endTime` cannot be inferred from the `WHERE` clause, an error is raised.
+
+**Usage Examples**
+
+**Example 1: Fill Missing Intervals**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+**Example 2: Fill Missing Intervals with Device Grouping**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Empty Result Set for No Data in Range**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+## 2. `DIFF` Function
+
+### 2.1 **Description:**
+
+- The `DIFF` function calculates the difference between the current row and the previous row. For the first row, it returns `NULL` since there is no previous row.
+
+### 2.2 **Function Definition:**
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+### 2.3 **Parameters:**
+
+#### **First Parameter (numeric):**
+
+- **Type**: Must be numeric (`INT32`, `INT64`, `FLOAT`, `DOUBLE`).
+- **Purpose**: Specifies the column for which to calculate the difference.
+
+#### **Second Parameter (boolean, optional):**
+
+- **Type**: Boolean (`true` or `false`).
+- **Default**: `true`.
+- **Purpose**:
+  - `true`: Ignores `NULL` values and uses the first non-`NULL` value for calculation. If no non-`NULL` value exists, returns `NULL`.
+  - `false`: Does not ignore `NULL` values. If the previous row is `NULL`, the result is `NULL`.
+
+### 2.4 **Notes:**
+
+- In **tree models**, the second parameter must be specified as `'ignoreNull'='true'` or `'ignoreNull'='false'`.
+- In **table models**, simply use `true` or `false`. Using `'ignoreNull'='true'` or `'ignoreNull'='false'` in table models results in a string comparison and always evaluates to `false`.
+
+### 2.5 **Usage Examples**
+
+#### **Example 1: Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 2: Do Not Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 3: Full Example**
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+## 3 Timeseries Windowing Functions
+
+The sample data is as follows:
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- Create table statement
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- Insert data
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+### 3.1 HOP
+
+#### Function Description
+
+The HOP function segments data into overlapping time windows for analysis, assigning each row to all windows that overlap with its timestamp. If windows overlap (when SLIDE < SIZE), data will be duplicated across multiple windows.
+
+#### Function Definition
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer                    | Window size             |
+| SLIDE     | Scalar | Long integer                    | Sliding step            |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+
+#### Returned Results
+
+The HOP function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.2 SESSION
+
+#### Function Description
+
+The SESSION function groups data into sessions based on time intervals. It checks the time gap between consecutive rows—rows with gaps smaller than the threshold (GAP) are grouped into the current window, while larger gaps trigger a new window.
+
+#### Function Definition
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| TIMECOL   | Scalar | String (default: 'time')   | Time column name                     |
+| GAP       | Scalar | Long integer               | Session gap threshold                |
+
+#### Returned Results
+
+The SESSION function returns:
+
+* `window_start`: Time of the first row in the session
+* `window_end`: Time of the last row in the session
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY SESSION when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.3 VARIATION
+
+#### Function Description
+
+The VARIATION function groups data based on value differences. The first row becomes the baseline for the first window. Subsequent rows are compared to the baseline—if the difference is within the threshold (DELTA), they join the current window; otherwise, a new window starts with that row as the new baseline.
+
+#### Function Definition
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| COL       | Scalar | String                     | Column for difference calculation    |
+| DELTA     | Scalar | Float                      | Difference threshold                 |
+
+#### Returned Results
+
+The VARIATION function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY VARIATION when combined with GROUP BY
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.4 CAPACITY
+
+#### Function Description
+
+The CAPACITY function groups data into fixed-size windows, where each window contains up to SIZE rows.
+
+#### Function Definition
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| SIZE      | Scalar | Long integer               | Window size (row count)              |
+
+#### Returned Results
+
+The CAPACITY function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY COUNT when combined with GROUP BY
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.5 TUMBLE
+
+#### Function Description
+
+The TUMBLE function assigns each row to a non-overlapping, fixed-size time window based on a timestamp attribute.
+
+#### Function Definition
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer (positive)         | Window size             |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+#### Returned Results
+
+The TUMBLE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.6 CUMULATE
+
+#### Function Description
+
+The CUMULATE function creates expanding windows from an initial window, maintaining the same start time while incrementally extending the end time by STEP until reaching SIZE. Each window contains all elements within its range. For example, with a 1-hour STEP and 24-hour SIZE, daily windows would be: `[00:00, 01:00)`, `[00:00, 02:00)`, ..., `[00:00, 24:00)`.
+
+#### Function Definition
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description                                       |
+| ----------- | -------- | --------------------------------- | --------------------------------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table                                       |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column                                       |
+| SIZE      | Scalar | Long integer (positive)         | Window size (must be an integer multiple of STEP) |
+| STEP      | Scalar | Long integer (positive)         | Expansion step                                    |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time                           |
+
+> Note: An error `Cumulative table function requires size must be an integral multiple of step` occurs if SIZE is not divisible by STEP.
+
+#### Returned Results
+
+The CUMULATE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
diff --git a/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
new file mode 100644
index 000000000..5977ded98
--- /dev/null
+++ b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
@@ -0,0 +1,1433 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+# Featured Functions
+
+## 1. Downsampling Functions
+
+### 1.1 `date_bin` Function
+
+#### **Description**
+
+The `date_bin` function is a scalar function that aligns timestamps to the start of specified time intervals. It is commonly used with the `GROUP BY` clause for downsampling.
+
+- **Partial Intervals May Be Empty:** Only timestamps that meet the conditions are aligned; missing intervals are not filled.
+- **All Intervals Return Empty:** If no data exists within the query range, the downsampling result is an empty set.
+
+#### **Usage Examples**
+
+[Sample Dataset](../Reference/Sample-Data.md): The example data page contains SQL statements for building table structures and inserting data. Download and execute these statements in the IoTDB CLI to import the data into IoTDB. You can use this data to test and execute the SQL statements in the examples and obtain the corresponding results.
+
+**Example 1: Hourly Average Temperature for Device 100**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+**Example 2: Hourly Average Temperature for Each Device**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Hourly Average Temperature for All Devices**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+### 1.2 `date_bin_gapfill` Function
+
+#### **Description:**
+
+The `date_bin_gapfill` function is an extension of `date_bin` that fills in missing time intervals, returning a complete time series.
+
+- **Partial Intervals May Be Empty**: Aligns timestamps for data that meets the conditions and fills in missing intervals.
+- **All Intervals Return Empty**: If no data exists within the query range, the result is an empty set.
+
+#### **Limitations:**
+
+1. The function must always be used with the `GROUP BY` clause. If used elsewhere, it behaves like `date_bin` without gap-filling.
+2. A `GROUP BY` clause can contain only one instance of date_bin_gapfill. Multiple calls will result in an error.
+3. The `GAPFILL` operation occurs after the `HAVING` clause and before the `FILL` clause.
+4. The `WHERE` clause must include time filters in one of the following forms:
+   1. `time >= XXX AND time <= XXX`
+   2. `time > XXX AND time < XXX`
+   3. `time BETWEEN XXX AND XXX`
+5. If additional time filters or conditions are used, an error is raised. Time conditions and other value filters must be connected using the `AND` operator.
+6. If `startTime` and `endTime` cannot be inferred from the `WHERE` clause, an error is raised.
+
+**Usage Examples**
+
+**Example 1: Fill Missing Intervals**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+**Example 2: Fill Missing Intervals with Device Grouping**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Empty Result Set for No Data in Range**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+## 2. `DIFF` Function
+
+### 2.1 **Description:**
+
+- The `DIFF` function calculates the difference between the current row and the previous row. For the first row, it returns `NULL` since there is no previous row.
+
+### 2.2 **Function Definition:**
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+### 2.3 **Parameters:**
+
+#### **First Parameter (numeric):**
+
+- **Type**: Must be numeric (`INT32`, `INT64`, `FLOAT`, `DOUBLE`).
+- **Purpose**: Specifies the column for which to calculate the difference.
+
+#### **Second Parameter (boolean, optional):**
+
+- **Type**: Boolean (`true` or `false`).
+- **Default**: `true`.
+- **Purpose**:
+  - `true`: Ignores `NULL` values and uses the first non-`NULL` value for calculation. If no non-`NULL` value exists, returns `NULL`.
+  - `false`: Does not ignore `NULL` values. If the previous row is `NULL`, the result is `NULL`.
+
+### 2.4 **Notes:**
+
+- In **tree models**, the second parameter must be specified as `'ignoreNull'='true'` or `'ignoreNull'='false'`.
+- In **table models**, simply use `true` or `false`. Using `'ignoreNull'='true'` or `'ignoreNull'='false'` in table models results in a string comparison and always evaluates to `false`.
+
+### 2.5 **Usage Examples**
+
+#### **Example 1: Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 2: Do Not Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 3: Full Example**
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+## 3 Timeseries Windowing Functions
+
+The sample data is as follows:
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- Create table statement
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- Insert data
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+### 3.1 HOP
+
+#### Function Description
+
+The HOP function segments data into overlapping time windows for analysis, assigning each row to all windows that overlap with its timestamp. If windows overlap (when SLIDE < SIZE), data will be duplicated across multiple windows.
+
+#### Function Definition
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer                    | Window size             |
+| SLIDE     | Scalar | Long integer                    | Sliding step            |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+
+#### Returned Results
+
+The HOP function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.2 SESSION
+
+#### Function Description
+
+The SESSION function groups data into sessions based on time intervals. It checks the time gap between consecutive rows—rows with gaps smaller than the threshold (GAP) are grouped into the current window, while larger gaps trigger a new window.
+
+#### Function Definition
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| TIMECOL   | Scalar | String (default: 'time')   | Time column name                     |
+| GAP       | Scalar | Long integer               | Session gap threshold                |
+
+#### Returned Results
+
+The SESSION function returns:
+
+* `window_start`: Time of the first row in the session
+* `window_end`: Time of the last row in the session
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY SESSION when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.3 VARIATION
+
+#### Function Description
+
+The VARIATION function groups data based on value differences. The first row becomes the baseline for the first window. Subsequent rows are compared to the baseline—if the difference is within the threshold (DELTA), they join the current window; otherwise, a new window starts with that row as the new baseline.
+
+#### Function Definition
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| COL       | Scalar | String                     | Column for difference calculation    |
+| DELTA     | Scalar | Float                      | Difference threshold                 |
+
+#### Returned Results
+
+The VARIATION function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY VARIATION when combined with GROUP BY
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.4 CAPACITY
+
+#### Function Description
+
+The CAPACITY function groups data into fixed-size windows, where each window contains up to SIZE rows.
+
+#### Function Definition
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| SIZE      | Scalar | Long integer               | Window size (row count)              |
+
+#### Returned Results
+
+The CAPACITY function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY COUNT when combined with GROUP BY
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.5 TUMBLE
+
+#### Function Description
+
+The TUMBLE function assigns each row to a non-overlapping, fixed-size time window based on a timestamp attribute.
+
+#### Function Definition
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer (positive)         | Window size             |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+#### Returned Results
+
+The TUMBLE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.6 CUMULATE
+
+#### Function Description
+
+The CUMULATE function creates expanding windows from an initial window, maintaining the same start time while incrementally extending the end time by STEP until reaching SIZE. Each window contains all elements within its range. For example, with a 1-hour STEP and 24-hour SIZE, daily windows would be: `[00:00, 01:00)`, `[00:00, 02:00)`, ..., `[00:00, 24:00)`.
+
+#### Function Definition
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description                                       |
+| ----------- | -------- | --------------------------------- | --------------------------------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table                                       |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column                                       |
+| SIZE      | Scalar | Long integer (positive)         | Window size (must be an integer multiple of STEP) |
+| STEP      | Scalar | Long integer (positive)         | Expansion step                                    |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time                           |
+
+> Note: An error `Cumulative table function requires size must be an integral multiple of step` occurs if SIZE is not divisible by STEP.
+
+#### Returned Results
+
+The CUMULATE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+
+## 2. Window Functions
+
+### 2.1 Function Overview
+
+The Window Functions supported by IoTDB are special functions that perform calculations on each row based on a specific set of rows related to the current row (called a "window"). It combines grouping operations (`PARTITION BY`), sorting (`ORDER BY`), and definable calculation ranges (window frame `FRAME`), enabling complex cross-row calculations without collapsing the original data rows. It is commonly used in data analysis scenarios such as ranking, cumulative sums, moving averages, etc.
+
+> Note: This feature is available starting from version V 2.0.5.
+
+For example, in a scenario where you need to query the cumulative power consumption values of different devices, you can achieve this using window functions.
+
+```SQL
+-- Original data
++-----------------------------+------+-----+
+|                         time|device| flow|
++-----------------------------+------+-----+
+|1970-01-01T08:00:00.000+08:00|    d0|    3|
+|1970-01-01T08:00:00.001+08:00|    d0|    5|
+|1970-01-01T08:00:00.002+08:00|    d0|    3|
+|1970-01-01T08:00:00.003+08:00|    d0|    1|
+|1970-01-01T08:00:00.004+08:00|    d1|    2|
+|1970-01-01T08:00:00.005+08:00|    d1|    4|
++-----------------------------+------+-----+
+
+-- Create table and insert data
+CREATE TABLE device_flow(device String tag,  flow INT32 FIELD);
+insert into device_flow(time, device ,flow ) values ('1970-01-01T08:00:00.000+08:00','d0',3),('1970-01-01T08:00:01.000+08:00','d0',5),('1970-01-01T08:00:02.000+08:00','d0',3),('1970-01-01T08:00:03.000+08:00','d0',1),('1970-01-01T08:00:04.000+08:00','d1',2),('1970-01-01T08:00:05.000+08:00','d1',4);
+
+
+-- Execute window function query
+SELECT *, sum(flow) ​OVER(PARTITION​ ​BY​ device ​ORDER​ ​BY​ flow) ​as​ sum ​FROM device_flow;
+```
+
+After grouping, sorting, and calculation (steps are disassembled as shown in the figure below),
+
+![](/img/window-function-1.png)
+
+the expected results can be obtained:
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+### 2.2 Function Definition
+
+#### 2.2.1 SQL Definition
+
+```SQL
+windowDefinition
+    : name=identifier AS '(' windowSpecification ')'
+    ;
+
+windowSpecification
+    : (existingWindowName=identifier)?
+      (PARTITION BY partition+=expression (',' partition+=expression)*)?
+      (ORDER BY sortItem (',' sortItem)*)?
+      windowFrame?
+    ;
+
+windowFrame
+    : frameExtent
+    ;
+
+frameExtent
+    : frameType=RANGE start=frameBound
+    | frameType=ROWS start=frameBound
+    | frameType=GROUPS start=frameBound
+    | frameType=RANGE BETWEEN start=frameBound AND end=frameBound
+    | frameType=ROWS BETWEEN start=frameBound AND end=frameBound
+    | frameType=GROUPS BETWEEN start=frameBound AND end=frameBound
+    ;
+
+frameBound
+    : UNBOUNDED boundType=PRECEDING                 #unboundedFrame
+    | UNBOUNDED boundType=FOLLOWING                 #unboundedFrame
+    | CURRENT ROW                                   #currentRowBound
+    | expression boundType=(PRECEDING | FOLLOWING)  #boundedFrame
+    ;
+```
+
+#### 2.2.2 Window Definition
+
+##### Partition
+
+`PARTITION BY` is used to divide data into multiple independent, unrelated "groups". Window functions can only access and operate on data within their respective groups, and cannot access data from other groups. This clause is optional; if not explicitly specified, all data is divided into the same group by default. It is worth noting that unlike `GROUP BY` which aggregates a group of data into a single row, the window function with `PARTITION BY` **does not affect the number of rows within the group.**
+
+* Example
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER (PARTITION BY device) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+![](/img/window-function-2.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    4|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    4|
++-----------------------------+------+----+-----+
+```
+
+##### Ordering
+
+`ORDER BY` is used to sort data within a partition. After sorting, rows with equal values are called peers. Peers affect the behavior of window functions; for example, different rank functions handle peers differently, and different frame division methods also handle peers differently. This clause is optional.
+
+* Example
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, rank() OVER (PARTITION BY device ORDER BY flow) as rank FROM device_flow;
+```
+
+Disassembly steps:
+
+![](/img/window-function-3.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+##### Framing
+
+For each row in a partition, the window function evaluates on a corresponding set of rows called a Frame (i.e., the input domain of the Window Function on each row). The Frame can be specified manually, involving two attributes when specified, as detailed below.
+
+<table style="text-align: left;">
+    <tbody>
+    <tr>
+        <th>Frame Attribute</th>
+        <th>Attribute Value</th>
+        <th>Value Description</th>
+    </tr>
+    <tr>
+        <td rowspan="3">Type</td>
+        <td>ROWS</td>
+        <td>Divide the frame by row number</td>
+    </tr>
+    <tr>
+        <td>GROUPS</td>
+        <td>Divide the frame by peers, i.e., rows with the same value are regarded as equivalent. All rows in peers are grouped into one group called a peer group</td>
+    </tr>
+    <tr>
+        <td>RANGE</td>
+        <td>Divide the frame by value</td>
+    </tr>
+    <tr>
+        <td rowspan="5">Start and End Position</td>
+        <td>UNBOUNDED PRECEDING</td>
+        <td>The first row of the entire partition</td>
+    </tr>
+    <tr>
+        <td>offset PRECEDING</td>
+        <td>Represents the row with an "offset" distance from the current row in the preceding direction</td>
+    </tr>
+    <tr>
+        <td>CURRENT ROW</td>
+        <td>The current row</td>
+    </tr>
+    <tr>
+        <td>offset FOLLOWING</td>
+        <td>Represents the row with an "offset" distance from the current row in the following direction</td>
+    </tr>
+    <tr>
+        <td>UNBOUNDED FOLLOWING</td>
+        <td>The last row of the entire partition</td>
+    </tr>
+    </tbody>
+</table>
+
+Among them, the meanings of `CURRENT ROW`, `PRECEDING N`, and `FOLLOWING N` vary with the type of frame, as shown in the following table:
+
+|                    | `ROWS`     | `GROUPS`                                                                                                                     | `RANGE`                                                                                                        |
+|--------------------|------------|------------------------------------------------------------------------------------------------------------------------------|----------------------------------------------------------------------------------------------------------------|
+| `CURRENT ROW`      | Current row        | Since a peer group contains multiple rows, this option differs depending on whether it acts on frame_start and frame_end: * frame_start: the first row of the peer group; * frame_end: the last row of the peer group.  | Same as GROUPS, differing depending on whether it acts on frame_start and frame_end: * frame_start: the first row of the peer group; * frame_end: the last row of the peer group.  |
+| `offset PRECEDING` | The previous offset rows | The previous offset peer groups;                                                                                                       | Rows whose value difference from the current row in the preceding direction is less than or equal to offset are grouped into one frame                                                                              |
+| `offset FOLLOWING` | The following offset rows | The following offset peer groups.                                                                                                       | Rows whose value difference from the current row in the following direction is less than or equal to offset are grouped into one frame                                                                              |
+
+The syntax format is as follows:
+
+```SQL
+-- Specify both frame_start and frame_end
+{ RANGE | ROWS | GROUPS } BETWEEN frame_start AND frame_end
+-- Specify only frame_start, frame_end is CURRENT ROW
+{ RANGE | ROWS | GROUPS } frame_start
+```
+
+If the Frame is not specified manually, the default Frame division rules are as follows:
+
+* When the window function uses ORDER BY: The default Frame is RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW (i.e., from the first row of the window to the current row). For example: In RANK() OVER(PARTITION BY COL1 ORDER BY COL2), the Frame defaults to include the current row and all preceding rows in the partition.
+* When the window function does not use ORDER BY: The default Frame is RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING (i.e., all rows in the entire window). For example: In AVG(COL2) OVER(PARTITION BY col1), the Frame defaults to include all rows in the partition, calculating the average of the entire partition.
+
+It should be noted that when the Frame type is GROUPS or RANGE, `ORDER BY` must be specified. The difference is that ORDER BY in GROUPS can involve multiple fields, while RANGE requires calculation and thus can only specify one field.
+
+* Example
+
+1. Frame type is ROWS
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ROWS 1 PRECEDING) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+* Take the previous row and the current row as the Frame
+    * For the first row of the partition, since there is no previous row, the entire Frame has only this row, returning 1;
+    * For other rows of the partition, the entire Frame includes the current row and its previous row, returning 2:
+
+![](/img/window-function-4.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    2|
++-----------------------------+------+----+-----+
+```
+
+2. Frame type is GROUPS
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ORDER BY flow GROUPS BETWEEN 1 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+* Take the previous peer group and the current peer group as the Frame. Taking the partition with device d0 as an example (same for d1), for the count of rows:
+    * For the peer group with flow 1, since there are no peer groups smaller than it, the entire Frame has only this row, returning 1;
+    * For the peer group with flow 3, it itself contains 2 rows, and the previous peer group is the one with flow 1 (1 row), so the entire Frame has 3 rows, returning 3;
+    * For the peer group with flow 5, it itself contains 1 row, and the previous peer group is the one with flow 3 (2 rows), so the entire Frame has 3 rows, returning 3.
+
+![](/img/window-function-5.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+3. Frame type is RANGE
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *,count(flow) OVER(PARTITION BY device ORDER BY flow RANGE BETWEEN 2 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+* Group rows whose data is **less than or equal to 2** compared to the current row into the same Frame. Taking the partition with device d0 as an example (same for d1), for the count of rows:
+    * For the row with flow 1, since it is the smallest row, the entire Frame has only this row, returning 1;
+    * For the row with flow 3, note that CURRENT ROW exists as frame_end, so it is the last row of the entire peer group. There is 1 row smaller than it that meets the requirement, and the peer group has 2 rows, so the entire Frame has 3 rows, returning 3;
+    * For the row with flow 5, it itself contains 1 row, and there are 2 rows smaller than it that meet the requirement, so the entire Frame has 3 rows, returning 3.
+
+![](/img/window-function-6.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+### 2.3 Built-in Window Functions
+
+<table style="text-align: left;">
+  <tbody>
+    <tr>
+      <th>Window Function Category</th>
+      <th>Window Function Name</th>
+      <th>Function Definition</th>
+      <th>Supports FRAME Clause</th>
+    </tr>
+    <tr>
+      <td rowspan="1">Aggregate Function</td>
+      <td>All built-in aggregate functions</td>
+      <td>Aggregate a set of values to get a single aggregated result.</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td rowspan="5">Value Function</td>
+      <td>first_value</td>
+      <td>Return the first value of the frame; if IGNORE NULLS is specified, skip leading NULLs</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td>last_value</td>
+      <td>Return the last value of the frame; if IGNORE NULLS is specified, skip trailing NULLs</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td>nth_value</td>
+      <td>Return the nth element of the frame (note that n starts from 1); if IGNORE NULLS is specified, skip NULLs</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td>lead</td>
+      <td>Return the element offset rows after the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>lag</td>
+      <td>Return the element offset rows before the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td rowspan="6">Rank Function</td>
+      <td>rank</td>
+      <td>Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there may be gaps between sequence numbers</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>dense_rank</td>
+      <td>Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there are no gaps between sequence numbers</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>row_number</td>
+      <td>Return the row number of the current row in the entire partition; note that the row number starts from 1</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>percent_rank</td>
+      <td>Return the sequence number of the current row's value in the entire partition as a percentage; i.e., (rank() - 1) / (n - 1), where n is the number of rows in the entire partition</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>cume_dist</td>
+      <td>Return the sequence number of the current row's value in the entire partition as a percentage; i.e., (number of rows less than or equal to it) / n </td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>ntile</td>
+      <td>Specify n to number each row from 1 to n.</td>
+      <td>No</td>
+    </tr>
+  </tbody>
+</table>
+
+#### 2.3.1 Aggregate Function
+
+All built-in aggregate functions such as `sum()`, `avg()`, `min()`, `max()` can be used as Window Functions.
+
+> Note: Unlike GROUP BY, each row has a corresponding output in the Window Function
+
+Example:
+
+```SQL
+IoTDB> SELECT *, sum(flow) OVER (PARTITION BY device ORDER BY flow) as sum FROM device_flow;
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.2 Value Function
+
+1. `first_value`
+
+* Function name: `first_value(value) [IGNORE NULLS]`
+* Definition: Return the first value of the frame; if IGNORE NULLS is specified, skip leading NULLs;
+* Example:
+
+```SQL
+IoTDB> SELECT *, first_value(flow) OVER w as first_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+-----------+
+|                         time|device|flow|first_value|
++-----------------------------+------+----+-----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|          2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|          2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|          1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|          1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|          3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|          3|
++-----------------------------+------+----+-----------+
+```
+
+2. `last_value`
+
+* Function name: `last_value(value) [IGNORE NULLS]`
+* Definition: Return the last value of the frame; if IGNORE NULLS is specified, skip trailing NULLs;
+* Example:
+
+```SQL
+IoTDB> SELECT *, last_value(flow) OVER w as last_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|last_value|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+3. `nth_value`
+
+* Function name: `nth_value(value, n) [IGNORE NULLS]`
+* Definition: Return the nth element of the frame (note that n starts from 1); if IGNORE NULLS is specified, skip NULLs;
+* Example:
+
+```SQL
+IoTDB> SELECT *, nth_value(flow, 2) OVER w as nth_values FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|nth_values|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+4. lead
+
+* Function name: `lead(value[, offset[, default]]) [IGNORE NULLS]`
+* Definition: Return the element offset rows after the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default; the default value of offset is 1, and the default value of default is NULL.
+* The lead function requires an ORDER BY window clause
+* Example:
+
+```SQL
+IoTDB> SELECT *, lead(flow) OVER w as lead FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY time);
++-----------------------------+------+----+----+
+|                         time|device|flow|lead|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|null|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   1|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|null|
++-----------------------------+------+----+----+
+```
+
+5. lag
+
+* Function name: `lag(value[, offset[, default]]) [IGNORE NULLS]`
+* Definition: Return the element offset rows before the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default; the default value of offset is 1, and the default value of default is NULL.
+* The lag function requires an ORDER BY window clause
+* Example:
+
+```SQL
+IoTDB> SELECT *, lag(flow) OVER w as lag FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY device);
++-----------------------------+------+----+----+
+|                         time|device|flow| lag|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|null|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|null|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   3|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.3 Rank Function
+
+1. rank
+
+* Function name: `rank()`
+* Definition: Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there may be gaps between sequence numbers;
+* Example:
+
+```SQL
+IoTDB> SELECT *, rank() OVER w as rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+2. dense_rank
+
+* Function name: `dense_rank()`
+* Definition: Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there are no gaps between sequence numbers.
+* Example:
+
+```SQL
+IoTDB> SELECT *, dense_rank() OVER w as dense_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|dense_rank|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         3|
++-----------------------------+------+----+----------+
+```
+
+3. row_number
+
+* Function name: `row_number()`
+* Definition: Return the row number of the current row in the entire partition; note that the row number starts from 1;
+* Example:
+
+```SQL
+IoTDB> SELECT *, row_number() OVER w as row_number FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|row_number|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         4|
++-----------------------------+------+----+----------+
+```
+
+4. percent_rank
+
+* Function name: `percent_rank()`
+* Definition: Return the sequence number of the current row's value in the entire partition as a percentage; i.e., **(rank() - 1) / (n - 1)**, where n is the number of rows in the entire partition;
+* Example:
+
+```SQL
+IoTDB> SELECT *, percent_rank() OVER w as percent_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+------------------+
+|                         time|device|flow|      percent_rank|
++-----------------------------+------+----+------------------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|               0.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|               1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|               0.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|               1.0|
++-----------------------------+------+----+------------------+
+```
+
+5. cume_dist
+
+* Function name: `cume_dist`
+* Definition: Return the sequence number of the current row's value in the entire partition as a percentage; i.e., **(number of rows less than or equal to it) / n**.
+* Example:
+
+```SQL
+IoTDB> SELECT *, cume_dist() OVER w as cume_dist FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+---------+
+|                         time|device|flow|cume_dist|
++-----------------------------+------+----+---------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|      0.5|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|      1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|     0.25|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|      1.0|
++-----------------------------+------+----+---------+
+```
+
+6. ntile
+
+* Function name: `ntile`
+* Definition: Specify n to number each row from 1 to n.
+    * If the number of rows in the entire partition is less than n, the number is the row index;
+    * If the number of rows in the entire partition is greater than n:
+        * If the number of rows is divisible by n, it is perfect. For example, if the number of rows is 4 and n is 2, the numbers are 1, 1, 2, 2;
+        * If the number of rows is not divisible by n, distribute to the first few groups. For example, if the number of rows is 5 and n is 3, the numbers are 1, 1, 2, 2, 3;
+* Example:
+
+```SQL
+IoTDB> SELECT *, ntile(2) OVER w as ntile FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+-----+
+|                         time|device|flow|ntile|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
++-----------------------------+------+----+-----+
+```
+
+### 2.4 Scenario Examples
+
+1. Multi-device diff function
+
+For each row of each device, calculate the difference from the previous row:
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+For each row of each device, calculate the difference from the next row:
+
+```SQL
+SELECT
+    *,
+    measurement - lead(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+For each row of a single device, calculate the difference from the previous row (same for the next row):
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (ORDER BY time)
+FROM data
+where device='d1'
+WHERE timeCondition;
+```
+
+2. Multi-device TOP_K/BOTTOM_K
+
+Use rank to get the sequence number, then retain the desired order in the outer query.
+
+(Note: The execution order of window functions is after the HAVING clause, so a subquery is needed here)
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY time DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+In addition to sorting by time, you can also sort by the value of the measurement point:
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY measurement DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+3. Multi-device CHANGE_POINTS
+
+This SQL is used to remove consecutive identical values in the input sequence, which can be achieved with lead + subquery:
+
+```SQL
+SELECT
+    time,
+    device,
+    measurement 
+FROM(
+    SELECT          
+        time,         
+        device,         
+        measurement,         
+        LEAD(measurement) OVER (PARTITION BY device ORDER BY time) AS next     
+    FROM data 
+    WHERE timeCondition
+)
+WHERE measurement != next OR next IS NULL;
+```
diff --git a/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md
index d0b771fee..c3baac8b7 100644
--- a/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md
+++ b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md
@@ -1,3 +1,6 @@
+---
+redirectTo: Featured-Functions_apache.html
+---
 <!--
 
     Licensed to the Apache Software Foundation (ASF) under one
@@ -17,679 +20,4 @@
     specific language governing permissions and limitations
     under the License.
 
--->
-# Featured Functions
-
-## 1. Downsampling Functions
-
-### 1.1 `date_bin` Function
-
-#### **Description**
-
-The `date_bin` function is a scalar function that aligns timestamps to the start of specified time intervals. It is commonly used with the `GROUP BY` clause for downsampling.
-
-- **Partial Intervals May Be Empty:** Only timestamps that meet the conditions are aligned; missing intervals are not filled.
-- **All Intervals Return Empty:** If no data exists within the query range, the downsampling result is an empty set.
-
-#### **Usage Examples**
-
-[Sample Dataset](../Reference/Sample-Data.md): The example data page contains SQL statements for building table structures and inserting data. Download and execute these statements in the IoTDB CLI to import the data into IoTDB. You can use this data to test and execute the SQL statements in the examples and obtain the corresponding results.
-
-**Example 1: Hourly Average Temperature for Device 100**
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-**Example 2: Hourly Average Temperature for Each Device**
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-GROUP BY 1, device_id;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-29T11:00:00.000+08:00|      100|    null|
-|2024-11-29T18:00:00.000+08:00|      100|    90.0|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-29T10:00:00.000+08:00|      101|    85.0|
-|2024-11-27T16:00:00.000+08:00|      101|    85.0|
-+-----------------------------+---------+--------+
-```
-
-**Example 3: Hourly Average Temperature for All Devices**
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-  FROM table1
-  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-  group by 1;  
-```
-
-**Result**
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T10:00:00.000+08:00|    85.0|
-|2024-11-27T16:00:00.000+08:00|    85.0|
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-### 1.2 `date_bin_gapfill` Function
-
-#### **Description:**
-
-The `date_bin_gapfill` function is an extension of `date_bin` that fills in missing time intervals, returning a complete time series.
-
-- **Partial Intervals May Be Empty**: Aligns timestamps for data that meets the conditions and fills in missing intervals.
-- **All Intervals Return Empty**: If no data exists within the query range, the result is an empty set.
-
-#### **Limitations:**
-
-1. The function must always be used with the `GROUP BY` clause. If used elsewhere, it behaves like `date_bin` without gap-filling.
-2. A `GROUP BY` clause can contain only one instance of date_bin_gapfill. Multiple calls will result in an error.
-3. The `GAPFILL` operation occurs after the `HAVING` clause and before the `FILL` clause.
-4. The `WHERE` clause must include time filters in one of the following forms:
-   1. `time >= XXX AND time <= XXX`
-   2. `time > XXX AND time < XXX`
-   3. `time BETWEEN XXX AND XXX`
-5. If additional time filters or conditions are used, an error is raised. Time conditions and other value filters must be connected using the `AND` operator.
-6. If `startTime` and `endTime` cannot be inferred from the `WHERE` clause, an error is raised.
-
-**Usage Examples**
-
-**Example 1: Fill Missing Intervals**
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-28T07:00:00.000+08:00|    null|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-|2024-11-28T12:00:00.000+08:00|    null|
-|2024-11-28T13:00:00.000+08:00|    null|
-|2024-11-28T14:00:00.000+08:00|    null|
-|2024-11-28T15:00:00.000+08:00|    null|
-|2024-11-28T16:00:00.000+08:00|    null|
-+-----------------------------+--------+
-```
-
-**Example 2: Fill Missing Intervals with Device Grouping**
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
-GROUP BY 1, device_id;
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-28T07:00:00.000+08:00|      100|    null|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-28T12:00:00.000+08:00|      100|    null|
-|2024-11-28T13:00:00.000+08:00|      100|    null|
-|2024-11-28T14:00:00.000+08:00|      100|    null|
-|2024-11-28T15:00:00.000+08:00|      100|    null|
-|2024-11-28T16:00:00.000+08:00|      100|    null|
-+-----------------------------+---------+--------+
-```
-
-**Example 3: Empty Result Set for No Data in Range**
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
-GROUP BY 1, device_id;
-```
-
-**Result**
-
-```Plain
-+---------+---------+--------+
-|hour_time|device_id|avg_temp|
-+---------+---------+--------+
-+---------+---------+--------+
-```
-
-## 2. `DIFF` Function
-
-### 2.1 **Description:**
-
-- The `DIFF` function calculates the difference between the current row and the previous row. For the first row, it returns `NULL` since there is no previous row.
-
-### 2.2 **Function Definition:**
-
-```
-DIFF(numberic[, boolean]) -> Double
-```
-
-### 2.3 **Parameters:**
-
-#### **First Parameter (numeric):**
-
-- **Type**: Must be numeric (`INT32`, `INT64`, `FLOAT`, `DOUBLE`).
-- **Purpose**: Specifies the column for which to calculate the difference.
-
-#### **Second Parameter (boolean, optional):**
-
-- **Type**: Boolean (`true` or `false`).
-- **Default**: `true`.
-- **Purpose**:
-  - `true`: Ignores `NULL` values and uses the first non-`NULL` value for calculation. If no non-`NULL` value exists, returns `NULL`.
-  - `false`: Does not ignore `NULL` values. If the previous row is `NULL`, the result is `NULL`.
-
-### 2.4 **Notes:**
-
-- In **tree models**, the second parameter must be specified as `'ignoreNull'='true'` or `'ignoreNull'='false'`.
-- In **table models**, simply use `true` or `false`. Using `'ignoreNull'='true'` or `'ignoreNull'='false'` in table models results in a string comparison and always evaluates to `false`.
-
-### 2.5 **Usage Examples**
-
-#### **Example 1: Ignore NULL Values**
-
-```SQL
-SELECT time, DIFF(temperature) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|      0.0|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-#### **Example 2: Do Not Ignore NULL Values**
-
-```SQL
-SELECT time, DIFF(temperature, false) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-**Result**
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|     null|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-#### **Example 3: Full Example**
-
-```SQL
-SELECT time, temperature, 
-       DIFF(temperature) AS diff_temp_1,
-       DIFF(temperature, false) AS diff_temp_2
-FROM table1 
-WHERE device_id = '100';
-```
-
-**Result**
-
-```Plain
-+-----------------------------+-----------+-----------+-----------+
-|                         time|temperature|diff_temp_1|diff_temp_2|
-+-----------------------------+-----------+-----------+-----------+
-|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
-|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
-|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
-|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
-|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
-|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
-|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
-|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
-+-----------------------------+-----------+-----------+-----------+
-```
-
-## 3 Timeseries Windowing Functions
-
-The sample data is as follows:
-
-```SQL
-IoTDB> SELECT * FROM bid;
-+-----------------------------+--------+-----+
-|                         time|stock_id|price|
-+-----------------------------+--------+-----+
-|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+--------+-----+
-
--- Create table statement
-CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
--- Insert data
-INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
-```
-
-### 3.1 HOP
-
-#### Function Description
-
-The HOP function segments data into overlapping time windows for analysis, assigning each row to all windows that overlap with its timestamp. If windows overlap (when SLIDE < SIZE), data will be duplicated across multiple windows.
-
-#### Function Definition
-
-```SQL
-HOP(data, timecol, size, slide[, origin])
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                      | Description             |
-| ----------- | -------- | --------------------------------- | ------------------------- |
-| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
-| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
-| SIZE      | Scalar | Long integer                    | Window size             |
-| SLIDE     | Scalar | Long integer                    | Sliding step            |
-| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
-
-
-#### Returned Results
-
-The HOP function returns:
-
-* `window_start`: Window start time (inclusive)
-* `window_end`: Window end time (exclusive)
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```SQL
-IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-### 3.2 SESSION
-
-#### Function Description
-
-The SESSION function groups data into sessions based on time intervals. It checks the time gap between consecutive rows—rows with gaps smaller than the threshold (GAP) are grouped into the current window, while larger gaps trigger a new window.
-
-#### Function Definition
-
-```SQL
-SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
-```
-#### Parameter Description
-
-| Parameter | Type   | Attributes                 | Description                          |
-| ----------- | -------- | ---------------------------- | -------------------------------------- |
-| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
-| TIMECOL   | Scalar | String (default: 'time')   | Time column name                     |
-| GAP       | Scalar | Long integer               | Session gap threshold                |
-
-#### Returned Results
-
-The SESSION function returns:
-
-* `window_start`: Time of the first row in the session
-* `window_end`: Time of the last row in the session
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```SQL
-IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY SESSION when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-### 3.3 VARIATION
-
-#### Function Description
-
-The VARIATION function groups data based on value differences. The first row becomes the baseline for the first window. Subsequent rows are compared to the baseline—if the difference is within the threshold (DELTA), they join the current window; otherwise, a new window starts with that row as the new baseline.
-
-#### Function Definition
-
-```sql
-VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                 | Description                          |
-| ----------- | -------- | ---------------------------- | -------------------------------------- |
-| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
-| COL       | Scalar | String                     | Column for difference calculation    |
-| DELTA     | Scalar | Float                      | Difference threshold                 |
-
-#### Returned Results
-
-The VARIATION function returns:
-
-* `window_index`: Window identifier
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```sql
-IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY VARIATION when combined with GROUP BY
-IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-### 3.4 CAPACITY
-
-#### Function Description
-
-The CAPACITY function groups data into fixed-size windows, where each window contains up to SIZE rows.
-
-#### Function Definition
-
-```sql
-CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                 | Description                          |
-| ----------- | -------- | ---------------------------- | -------------------------------------- |
-| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
-| SIZE      | Scalar | Long integer               | Window size (row count)              |
-
-#### Returned Results
-
-The CAPACITY function returns:
-
-* `window_index`: Window identifier
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```sql
-IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY COUNT when combined with GROUP BY
-IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                   start_time|                     end_time|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
-|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-### 3.5 TUMBLE
-
-#### Function Description
-
-The TUMBLE function assigns each row to a non-overlapping, fixed-size time window based on a timestamp attribute.
-
-#### Function Definition
-
-```sql
-TUMBLE(data, timecol, size[, origin])
-```
-#### Parameter Description
-
-| Parameter | Type   | Attributes                      | Description             |
-| ----------- | -------- | --------------------------------- | ------------------------- |
-| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
-| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
-| SIZE      | Scalar | Long integer (positive)         | Window size             |
-| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
-
-#### Returned Results
-
-The TUMBLE function returns:
-
-* `window_start`: Window start time (inclusive)
-* `window_end`: Window end time (exclusive)
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```SQL
-IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-### 3.6 CUMULATE
-
-#### Function Description
-
-The CUMULATE function creates expanding windows from an initial window, maintaining the same start time while incrementally extending the end time by STEP until reaching SIZE. Each window contains all elements within its range. For example, with a 1-hour STEP and 24-hour SIZE, daily windows would be: `[00:00, 01:00)`, `[00:00, 02:00)`, ..., `[00:00, 24:00)`.
-
-#### Function Definition
-
-```sql
-CUMULATE(data, timecol, size, step[, origin])
-```
-
-#### Parameter Description
-
-| Parameter | Type   | Attributes                      | Description                                       |
-| ----------- | -------- | --------------------------------- | --------------------------------------------------- |
-| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table                                       |
-| TIMECOL   | Scalar | String (default: 'time')        | Time column                                       |
-| SIZE      | Scalar | Long integer (positive)         | Window size (must be an integer multiple of STEP) |
-| STEP      | Scalar | Long integer (positive)         | Expansion step                                    |
-| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time                           |
-
-> Note: An error `Cumulative table function requires size must be an integral multiple of step` occurs if SIZE is not divisible by STEP.
-
-#### Returned Results
-
-The CUMULATE function returns:
-
-* `window_start`: Window start time (inclusive)
-* `window_end`: Window end time (exclusive)
-* Pass-through columns: All input columns from DATA
-
-#### Usage Example
-
-```sql
-IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
+-->
\ No newline at end of file
diff --git a/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md
new file mode 100644
index 000000000..d0b771fee
--- /dev/null
+++ b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md
@@ -0,0 +1,695 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+# Featured Functions
+
+## 1. Downsampling Functions
+
+### 1.1 `date_bin` Function
+
+#### **Description**
+
+The `date_bin` function is a scalar function that aligns timestamps to the start of specified time intervals. It is commonly used with the `GROUP BY` clause for downsampling.
+
+- **Partial Intervals May Be Empty:** Only timestamps that meet the conditions are aligned; missing intervals are not filled.
+- **All Intervals Return Empty:** If no data exists within the query range, the downsampling result is an empty set.
+
+#### **Usage Examples**
+
+[Sample Dataset](../Reference/Sample-Data.md): The example data page contains SQL statements for building table structures and inserting data. Download and execute these statements in the IoTDB CLI to import the data into IoTDB. You can use this data to test and execute the SQL statements in the examples and obtain the corresponding results.
+
+**Example 1: Hourly Average Temperature for Device 100**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+**Example 2: Hourly Average Temperature for Each Device**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Hourly Average Temperature for All Devices**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+### 1.2 `date_bin_gapfill` Function
+
+#### **Description:**
+
+The `date_bin_gapfill` function is an extension of `date_bin` that fills in missing time intervals, returning a complete time series.
+
+- **Partial Intervals May Be Empty**: Aligns timestamps for data that meets the conditions and fills in missing intervals.
+- **All Intervals Return Empty**: If no data exists within the query range, the result is an empty set.
+
+#### **Limitations:**
+
+1. The function must always be used with the `GROUP BY` clause. If used elsewhere, it behaves like `date_bin` without gap-filling.
+2. A `GROUP BY` clause can contain only one instance of date_bin_gapfill. Multiple calls will result in an error.
+3. The `GAPFILL` operation occurs after the `HAVING` clause and before the `FILL` clause.
+4. The `WHERE` clause must include time filters in one of the following forms:
+   1. `time >= XXX AND time <= XXX`
+   2. `time > XXX AND time < XXX`
+   3. `time BETWEEN XXX AND XXX`
+5. If additional time filters or conditions are used, an error is raised. Time conditions and other value filters must be connected using the `AND` operator.
+6. If `startTime` and `endTime` cannot be inferred from the `WHERE` clause, an error is raised.
+
+**Usage Examples**
+
+**Example 1: Fill Missing Intervals**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+**Example 2: Fill Missing Intervals with Device Grouping**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Empty Result Set for No Data in Range**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+## 2. `DIFF` Function
+
+### 2.1 **Description:**
+
+- The `DIFF` function calculates the difference between the current row and the previous row. For the first row, it returns `NULL` since there is no previous row.
+
+### 2.2 **Function Definition:**
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+### 2.3 **Parameters:**
+
+#### **First Parameter (numeric):**
+
+- **Type**: Must be numeric (`INT32`, `INT64`, `FLOAT`, `DOUBLE`).
+- **Purpose**: Specifies the column for which to calculate the difference.
+
+#### **Second Parameter (boolean, optional):**
+
+- **Type**: Boolean (`true` or `false`).
+- **Default**: `true`.
+- **Purpose**:
+  - `true`: Ignores `NULL` values and uses the first non-`NULL` value for calculation. If no non-`NULL` value exists, returns `NULL`.
+  - `false`: Does not ignore `NULL` values. If the previous row is `NULL`, the result is `NULL`.
+
+### 2.4 **Notes:**
+
+- In **tree models**, the second parameter must be specified as `'ignoreNull'='true'` or `'ignoreNull'='false'`.
+- In **table models**, simply use `true` or `false`. Using `'ignoreNull'='true'` or `'ignoreNull'='false'` in table models results in a string comparison and always evaluates to `false`.
+
+### 2.5 **Usage Examples**
+
+#### **Example 1: Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 2: Do Not Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 3: Full Example**
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+## 3 Timeseries Windowing Functions
+
+The sample data is as follows:
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- Create table statement
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- Insert data
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+### 3.1 HOP
+
+#### Function Description
+
+The HOP function segments data into overlapping time windows for analysis, assigning each row to all windows that overlap with its timestamp. If windows overlap (when SLIDE < SIZE), data will be duplicated across multiple windows.
+
+#### Function Definition
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer                    | Window size             |
+| SLIDE     | Scalar | Long integer                    | Sliding step            |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+
+#### Returned Results
+
+The HOP function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.2 SESSION
+
+#### Function Description
+
+The SESSION function groups data into sessions based on time intervals. It checks the time gap between consecutive rows—rows with gaps smaller than the threshold (GAP) are grouped into the current window, while larger gaps trigger a new window.
+
+#### Function Definition
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| TIMECOL   | Scalar | String (default: 'time')   | Time column name                     |
+| GAP       | Scalar | Long integer               | Session gap threshold                |
+
+#### Returned Results
+
+The SESSION function returns:
+
+* `window_start`: Time of the first row in the session
+* `window_end`: Time of the last row in the session
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY SESSION when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.3 VARIATION
+
+#### Function Description
+
+The VARIATION function groups data based on value differences. The first row becomes the baseline for the first window. Subsequent rows are compared to the baseline—if the difference is within the threshold (DELTA), they join the current window; otherwise, a new window starts with that row as the new baseline.
+
+#### Function Definition
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| COL       | Scalar | String                     | Column for difference calculation    |
+| DELTA     | Scalar | Float                      | Difference threshold                 |
+
+#### Returned Results
+
+The VARIATION function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY VARIATION when combined with GROUP BY
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.4 CAPACITY
+
+#### Function Description
+
+The CAPACITY function groups data into fixed-size windows, where each window contains up to SIZE rows.
+
+#### Function Definition
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| SIZE      | Scalar | Long integer               | Window size (row count)              |
+
+#### Returned Results
+
+The CAPACITY function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY COUNT when combined with GROUP BY
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.5 TUMBLE
+
+#### Function Description
+
+The TUMBLE function assigns each row to a non-overlapping, fixed-size time window based on a timestamp attribute.
+
+#### Function Definition
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer (positive)         | Window size             |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+#### Returned Results
+
+The TUMBLE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.6 CUMULATE
+
+#### Function Description
+
+The CUMULATE function creates expanding windows from an initial window, maintaining the same start time while incrementally extending the end time by STEP until reaching SIZE. Each window contains all elements within its range. For example, with a 1-hour STEP and 24-hour SIZE, daily windows would be: `[00:00, 01:00)`, `[00:00, 02:00)`, ..., `[00:00, 24:00)`.
+
+#### Function Definition
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description                                       |
+| ----------- | -------- | --------------------------------- | --------------------------------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table                                       |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column                                       |
+| SIZE      | Scalar | Long integer (positive)         | Window size (must be an integer multiple of STEP) |
+| STEP      | Scalar | Long integer (positive)         | Expansion step                                    |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time                           |
+
+> Note: An error `Cumulative table function requires size must be an integral multiple of step` occurs if SIZE is not divisible by STEP.
+
+#### Returned Results
+
+The CUMULATE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
diff --git a/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
new file mode 100644
index 000000000..5977ded98
--- /dev/null
+++ b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
@@ -0,0 +1,1433 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+# Featured Functions
+
+## 1. Downsampling Functions
+
+### 1.1 `date_bin` Function
+
+#### **Description**
+
+The `date_bin` function is a scalar function that aligns timestamps to the start of specified time intervals. It is commonly used with the `GROUP BY` clause for downsampling.
+
+- **Partial Intervals May Be Empty:** Only timestamps that meet the conditions are aligned; missing intervals are not filled.
+- **All Intervals Return Empty:** If no data exists within the query range, the downsampling result is an empty set.
+
+#### **Usage Examples**
+
+[Sample Dataset](../Reference/Sample-Data.md): The example data page contains SQL statements for building table structures and inserting data. Download and execute these statements in the IoTDB CLI to import the data into IoTDB. You can use this data to test and execute the SQL statements in the examples and obtain the corresponding results.
+
+**Example 1: Hourly Average Temperature for Device 100**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+**Example 2: Hourly Average Temperature for Each Device**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Hourly Average Temperature for All Devices**
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+### 1.2 `date_bin_gapfill` Function
+
+#### **Description:**
+
+The `date_bin_gapfill` function is an extension of `date_bin` that fills in missing time intervals, returning a complete time series.
+
+- **Partial Intervals May Be Empty**: Aligns timestamps for data that meets the conditions and fills in missing intervals.
+- **All Intervals Return Empty**: If no data exists within the query range, the result is an empty set.
+
+#### **Limitations:**
+
+1. The function must always be used with the `GROUP BY` clause. If used elsewhere, it behaves like `date_bin` without gap-filling.
+2. A `GROUP BY` clause can contain only one instance of date_bin_gapfill. Multiple calls will result in an error.
+3. The `GAPFILL` operation occurs after the `HAVING` clause and before the `FILL` clause.
+4. The `WHERE` clause must include time filters in one of the following forms:
+   1. `time >= XXX AND time <= XXX`
+   2. `time > XXX AND time < XXX`
+   3. `time BETWEEN XXX AND XXX`
+5. If additional time filters or conditions are used, an error is raised. Time conditions and other value filters must be connected using the `AND` operator.
+6. If `startTime` and `endTime` cannot be inferred from the `WHERE` clause, an error is raised.
+
+**Usage Examples**
+
+**Example 1: Fill Missing Intervals**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+**Result**
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+**Example 2: Fill Missing Intervals with Device Grouping**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+**Example 3: Empty Result Set for No Data in Range**
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+**Result**
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+## 2. `DIFF` Function
+
+### 2.1 **Description:**
+
+- The `DIFF` function calculates the difference between the current row and the previous row. For the first row, it returns `NULL` since there is no previous row.
+
+### 2.2 **Function Definition:**
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+### 2.3 **Parameters:**
+
+#### **First Parameter (numeric):**
+
+- **Type**: Must be numeric (`INT32`, `INT64`, `FLOAT`, `DOUBLE`).
+- **Purpose**: Specifies the column for which to calculate the difference.
+
+#### **Second Parameter (boolean, optional):**
+
+- **Type**: Boolean (`true` or `false`).
+- **Default**: `true`.
+- **Purpose**:
+  - `true`: Ignores `NULL` values and uses the first non-`NULL` value for calculation. If no non-`NULL` value exists, returns `NULL`.
+  - `false`: Does not ignore `NULL` values. If the previous row is `NULL`, the result is `NULL`.
+
+### 2.4 **Notes:**
+
+- In **tree models**, the second parameter must be specified as `'ignoreNull'='true'` or `'ignoreNull'='false'`.
+- In **table models**, simply use `true` or `false`. Using `'ignoreNull'='true'` or `'ignoreNull'='false'` in table models results in a string comparison and always evaluates to `false`.
+
+### 2.5 **Usage Examples**
+
+#### **Example 1: Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 2: Do Not Ignore NULL Values**
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+#### **Example 3: Full Example**
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+**Result**
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+## 3 Timeseries Windowing Functions
+
+The sample data is as follows:
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- Create table statement
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- Insert data
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+### 3.1 HOP
+
+#### Function Description
+
+The HOP function segments data into overlapping time windows for analysis, assigning each row to all windows that overlap with its timestamp. If windows overlap (when SLIDE < SIZE), data will be duplicated across multiple windows.
+
+#### Function Definition
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer                    | Window size             |
+| SLIDE     | Scalar | Long integer                    | Sliding step            |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+
+#### Returned Results
+
+The HOP function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.2 SESSION
+
+#### Function Description
+
+The SESSION function groups data into sessions based on time intervals. It checks the time gap between consecutive rows—rows with gaps smaller than the threshold (GAP) are grouped into the current window, while larger gaps trigger a new window.
+
+#### Function Definition
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| TIMECOL   | Scalar | String (default: 'time')   | Time column name                     |
+| GAP       | Scalar | Long integer               | Session gap threshold                |
+
+#### Returned Results
+
+The SESSION function returns:
+
+* `window_start`: Time of the first row in the session
+* `window_end`: Time of the last row in the session
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY SESSION when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.3 VARIATION
+
+#### Function Description
+
+The VARIATION function groups data based on value differences. The first row becomes the baseline for the first window. Subsequent rows are compared to the baseline—if the difference is within the threshold (DELTA), they join the current window; otherwise, a new window starts with that row as the new baseline.
+
+#### Function Definition
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| COL       | Scalar | String                     | Column for difference calculation    |
+| DELTA     | Scalar | Float                      | Difference threshold                 |
+
+#### Returned Results
+
+The VARIATION function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY VARIATION when combined with GROUP BY
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.4 CAPACITY
+
+#### Function Description
+
+The CAPACITY function groups data into fixed-size windows, where each window contains up to SIZE rows.
+
+#### Function Definition
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                 | Description                          |
+| ----------- | -------- | ---------------------------- | -------------------------------------- |
+| DATA      | Table  | SET SEMANTIC, PASS THROUGH | Input table with partition/sort keys |
+| SIZE      | Scalar | Long integer               | Window size (row count)              |
+
+#### Returned Results
+
+The CAPACITY function returns:
+
+* `window_index`: Window identifier
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY COUNT when combined with GROUP BY
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+### 3.5 TUMBLE
+
+#### Function Description
+
+The TUMBLE function assigns each row to a non-overlapping, fixed-size time window based on a timestamp attribute.
+
+#### Function Definition
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description             |
+| ----------- | -------- | --------------------------------- | ------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table             |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column             |
+| SIZE      | Scalar | Long integer (positive)         | Window size             |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time |
+
+#### Returned Results
+
+The TUMBLE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+### 3.6 CUMULATE
+
+#### Function Description
+
+The CUMULATE function creates expanding windows from an initial window, maintaining the same start time while incrementally extending the end time by STEP until reaching SIZE. Each window contains all elements within its range. For example, with a 1-hour STEP and 24-hour SIZE, daily windows would be: `[00:00, 01:00)`, `[00:00, 02:00)`, ..., `[00:00, 24:00)`.
+
+#### Function Definition
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+#### Parameter Description
+
+| Parameter | Type   | Attributes                      | Description                                       |
+| ----------- | -------- | --------------------------------- | --------------------------------------------------- |
+| DATA      | Table  | ROW SEMANTIC, PASS THROUGH      | Input table                                       |
+| TIMECOL   | Scalar | String (default: 'time')        | Time column                                       |
+| SIZE      | Scalar | Long integer (positive)         | Window size (must be an integer multiple of STEP) |
+| STEP      | Scalar | Long integer (positive)         | Expansion step                                    |
+| ORIGIN    | Scalar | Timestamp (default: Unix epoch) | First window start time                           |
+
+> Note: An error `Cumulative table function requires size must be an integral multiple of step` occurs if SIZE is not divisible by STEP.
+
+#### Returned Results
+
+The CUMULATE function returns:
+
+* `window_start`: Window start time (inclusive)
+* `window_end`: Window end time (exclusive)
+* Pass-through columns: All input columns from DATA
+
+#### Usage Example
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- Equivalent to tree model's GROUP BY TIME when combined with GROUP BY
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+
+## 2. Window Functions
+
+### 2.1 Function Overview
+
+The Window Functions supported by IoTDB are special functions that perform calculations on each row based on a specific set of rows related to the current row (called a "window"). It combines grouping operations (`PARTITION BY`), sorting (`ORDER BY`), and definable calculation ranges (window frame `FRAME`), enabling complex cross-row calculations without collapsing the original data rows. It is commonly used in data analysis scenarios such as ranking, cumulative sums, moving averages, etc.
+
+> Note: This feature is available starting from version V 2.0.5.
+
+For example, in a scenario where you need to query the cumulative power consumption values of different devices, you can achieve this using window functions.
+
+```SQL
+-- Original data
++-----------------------------+------+-----+
+|                         time|device| flow|
++-----------------------------+------+-----+
+|1970-01-01T08:00:00.000+08:00|    d0|    3|
+|1970-01-01T08:00:00.001+08:00|    d0|    5|
+|1970-01-01T08:00:00.002+08:00|    d0|    3|
+|1970-01-01T08:00:00.003+08:00|    d0|    1|
+|1970-01-01T08:00:00.004+08:00|    d1|    2|
+|1970-01-01T08:00:00.005+08:00|    d1|    4|
++-----------------------------+------+-----+
+
+-- Create table and insert data
+CREATE TABLE device_flow(device String tag,  flow INT32 FIELD);
+insert into device_flow(time, device ,flow ) values ('1970-01-01T08:00:00.000+08:00','d0',3),('1970-01-01T08:00:01.000+08:00','d0',5),('1970-01-01T08:00:02.000+08:00','d0',3),('1970-01-01T08:00:03.000+08:00','d0',1),('1970-01-01T08:00:04.000+08:00','d1',2),('1970-01-01T08:00:05.000+08:00','d1',4);
+
+
+-- Execute window function query
+SELECT *, sum(flow) ​OVER(PARTITION​ ​BY​ device ​ORDER​ ​BY​ flow) ​as​ sum ​FROM device_flow;
+```
+
+After grouping, sorting, and calculation (steps are disassembled as shown in the figure below),
+
+![](/img/window-function-1.png)
+
+the expected results can be obtained:
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+### 2.2 Function Definition
+
+#### 2.2.1 SQL Definition
+
+```SQL
+windowDefinition
+    : name=identifier AS '(' windowSpecification ')'
+    ;
+
+windowSpecification
+    : (existingWindowName=identifier)?
+      (PARTITION BY partition+=expression (',' partition+=expression)*)?
+      (ORDER BY sortItem (',' sortItem)*)?
+      windowFrame?
+    ;
+
+windowFrame
+    : frameExtent
+    ;
+
+frameExtent
+    : frameType=RANGE start=frameBound
+    | frameType=ROWS start=frameBound
+    | frameType=GROUPS start=frameBound
+    | frameType=RANGE BETWEEN start=frameBound AND end=frameBound
+    | frameType=ROWS BETWEEN start=frameBound AND end=frameBound
+    | frameType=GROUPS BETWEEN start=frameBound AND end=frameBound
+    ;
+
+frameBound
+    : UNBOUNDED boundType=PRECEDING                 #unboundedFrame
+    | UNBOUNDED boundType=FOLLOWING                 #unboundedFrame
+    | CURRENT ROW                                   #currentRowBound
+    | expression boundType=(PRECEDING | FOLLOWING)  #boundedFrame
+    ;
+```
+
+#### 2.2.2 Window Definition
+
+##### Partition
+
+`PARTITION BY` is used to divide data into multiple independent, unrelated "groups". Window functions can only access and operate on data within their respective groups, and cannot access data from other groups. This clause is optional; if not explicitly specified, all data is divided into the same group by default. It is worth noting that unlike `GROUP BY` which aggregates a group of data into a single row, the window function with `PARTITION BY` **does not affect the number of rows within the group.**
+
+* Example
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER (PARTITION BY device) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+![](/img/window-function-2.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    4|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    4|
++-----------------------------+------+----+-----+
+```
+
+##### Ordering
+
+`ORDER BY` is used to sort data within a partition. After sorting, rows with equal values are called peers. Peers affect the behavior of window functions; for example, different rank functions handle peers differently, and different frame division methods also handle peers differently. This clause is optional.
+
+* Example
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, rank() OVER (PARTITION BY device ORDER BY flow) as rank FROM device_flow;
+```
+
+Disassembly steps:
+
+![](/img/window-function-3.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+##### Framing
+
+For each row in a partition, the window function evaluates on a corresponding set of rows called a Frame (i.e., the input domain of the Window Function on each row). The Frame can be specified manually, involving two attributes when specified, as detailed below.
+
+<table style="text-align: left;">
+    <tbody>
+    <tr>
+        <th>Frame Attribute</th>
+        <th>Attribute Value</th>
+        <th>Value Description</th>
+    </tr>
+    <tr>
+        <td rowspan="3">Type</td>
+        <td>ROWS</td>
+        <td>Divide the frame by row number</td>
+    </tr>
+    <tr>
+        <td>GROUPS</td>
+        <td>Divide the frame by peers, i.e., rows with the same value are regarded as equivalent. All rows in peers are grouped into one group called a peer group</td>
+    </tr>
+    <tr>
+        <td>RANGE</td>
+        <td>Divide the frame by value</td>
+    </tr>
+    <tr>
+        <td rowspan="5">Start and End Position</td>
+        <td>UNBOUNDED PRECEDING</td>
+        <td>The first row of the entire partition</td>
+    </tr>
+    <tr>
+        <td>offset PRECEDING</td>
+        <td>Represents the row with an "offset" distance from the current row in the preceding direction</td>
+    </tr>
+    <tr>
+        <td>CURRENT ROW</td>
+        <td>The current row</td>
+    </tr>
+    <tr>
+        <td>offset FOLLOWING</td>
+        <td>Represents the row with an "offset" distance from the current row in the following direction</td>
+    </tr>
+    <tr>
+        <td>UNBOUNDED FOLLOWING</td>
+        <td>The last row of the entire partition</td>
+    </tr>
+    </tbody>
+</table>
+
+Among them, the meanings of `CURRENT ROW`, `PRECEDING N`, and `FOLLOWING N` vary with the type of frame, as shown in the following table:
+
+|                    | `ROWS`     | `GROUPS`                                                                                                                     | `RANGE`                                                                                                        |
+|--------------------|------------|------------------------------------------------------------------------------------------------------------------------------|----------------------------------------------------------------------------------------------------------------|
+| `CURRENT ROW`      | Current row        | Since a peer group contains multiple rows, this option differs depending on whether it acts on frame_start and frame_end: * frame_start: the first row of the peer group; * frame_end: the last row of the peer group.  | Same as GROUPS, differing depending on whether it acts on frame_start and frame_end: * frame_start: the first row of the peer group; * frame_end: the last row of the peer group.  |
+| `offset PRECEDING` | The previous offset rows | The previous offset peer groups;                                                                                                       | Rows whose value difference from the current row in the preceding direction is less than or equal to offset are grouped into one frame                                                                              |
+| `offset FOLLOWING` | The following offset rows | The following offset peer groups.                                                                                                       | Rows whose value difference from the current row in the following direction is less than or equal to offset are grouped into one frame                                                                              |
+
+The syntax format is as follows:
+
+```SQL
+-- Specify both frame_start and frame_end
+{ RANGE | ROWS | GROUPS } BETWEEN frame_start AND frame_end
+-- Specify only frame_start, frame_end is CURRENT ROW
+{ RANGE | ROWS | GROUPS } frame_start
+```
+
+If the Frame is not specified manually, the default Frame division rules are as follows:
+
+* When the window function uses ORDER BY: The default Frame is RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW (i.e., from the first row of the window to the current row). For example: In RANK() OVER(PARTITION BY COL1 ORDER BY COL2), the Frame defaults to include the current row and all preceding rows in the partition.
+* When the window function does not use ORDER BY: The default Frame is RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING (i.e., all rows in the entire window). For example: In AVG(COL2) OVER(PARTITION BY col1), the Frame defaults to include all rows in the partition, calculating the average of the entire partition.
+
+It should be noted that when the Frame type is GROUPS or RANGE, `ORDER BY` must be specified. The difference is that ORDER BY in GROUPS can involve multiple fields, while RANGE requires calculation and thus can only specify one field.
+
+* Example
+
+1. Frame type is ROWS
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ROWS 1 PRECEDING) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+* Take the previous row and the current row as the Frame
+    * For the first row of the partition, since there is no previous row, the entire Frame has only this row, returning 1;
+    * For other rows of the partition, the entire Frame includes the current row and its previous row, returning 2:
+
+![](/img/window-function-4.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    2|
++-----------------------------+------+----+-----+
+```
+
+2. Frame type is GROUPS
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ORDER BY flow GROUPS BETWEEN 1 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+* Take the previous peer group and the current peer group as the Frame. Taking the partition with device d0 as an example (same for d1), for the count of rows:
+    * For the peer group with flow 1, since there are no peer groups smaller than it, the entire Frame has only this row, returning 1;
+    * For the peer group with flow 3, it itself contains 2 rows, and the previous peer group is the one with flow 1 (1 row), so the entire Frame has 3 rows, returning 3;
+    * For the peer group with flow 5, it itself contains 1 row, and the previous peer group is the one with flow 3 (2 rows), so the entire Frame has 3 rows, returning 3.
+
+![](/img/window-function-5.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+3. Frame type is RANGE
+
+Query statement:
+
+```SQL
+IoTDB> SELECT *,count(flow) OVER(PARTITION BY device ORDER BY flow RANGE BETWEEN 2 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+Disassembly steps:
+
+* Group rows whose data is **less than or equal to 2** compared to the current row into the same Frame. Taking the partition with device d0 as an example (same for d1), for the count of rows:
+    * For the row with flow 1, since it is the smallest row, the entire Frame has only this row, returning 1;
+    * For the row with flow 3, note that CURRENT ROW exists as frame_end, so it is the last row of the entire peer group. There is 1 row smaller than it that meets the requirement, and the peer group has 2 rows, so the entire Frame has 3 rows, returning 3;
+    * For the row with flow 5, it itself contains 1 row, and there are 2 rows smaller than it that meet the requirement, so the entire Frame has 3 rows, returning 3.
+
+![](/img/window-function-6.png)
+
+Query result:
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+### 2.3 Built-in Window Functions
+
+<table style="text-align: left;">
+  <tbody>
+    <tr>
+      <th>Window Function Category</th>
+      <th>Window Function Name</th>
+      <th>Function Definition</th>
+      <th>Supports FRAME Clause</th>
+    </tr>
+    <tr>
+      <td rowspan="1">Aggregate Function</td>
+      <td>All built-in aggregate functions</td>
+      <td>Aggregate a set of values to get a single aggregated result.</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td rowspan="5">Value Function</td>
+      <td>first_value</td>
+      <td>Return the first value of the frame; if IGNORE NULLS is specified, skip leading NULLs</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td>last_value</td>
+      <td>Return the last value of the frame; if IGNORE NULLS is specified, skip trailing NULLs</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td>nth_value</td>
+      <td>Return the nth element of the frame (note that n starts from 1); if IGNORE NULLS is specified, skip NULLs</td>
+      <td>Yes</td>
+    </tr>
+    <tr>
+      <td>lead</td>
+      <td>Return the element offset rows after the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>lag</td>
+      <td>Return the element offset rows before the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td rowspan="6">Rank Function</td>
+      <td>rank</td>
+      <td>Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there may be gaps between sequence numbers</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>dense_rank</td>
+      <td>Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there are no gaps between sequence numbers</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>row_number</td>
+      <td>Return the row number of the current row in the entire partition; note that the row number starts from 1</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>percent_rank</td>
+      <td>Return the sequence number of the current row's value in the entire partition as a percentage; i.e., (rank() - 1) / (n - 1), where n is the number of rows in the entire partition</td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>cume_dist</td>
+      <td>Return the sequence number of the current row's value in the entire partition as a percentage; i.e., (number of rows less than or equal to it) / n </td>
+      <td>No</td>
+    </tr>
+    <tr>
+      <td>ntile</td>
+      <td>Specify n to number each row from 1 to n.</td>
+      <td>No</td>
+    </tr>
+  </tbody>
+</table>
+
+#### 2.3.1 Aggregate Function
+
+All built-in aggregate functions such as `sum()`, `avg()`, `min()`, `max()` can be used as Window Functions.
+
+> Note: Unlike GROUP BY, each row has a corresponding output in the Window Function
+
+Example:
+
+```SQL
+IoTDB> SELECT *, sum(flow) OVER (PARTITION BY device ORDER BY flow) as sum FROM device_flow;
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.2 Value Function
+
+1. `first_value`
+
+* Function name: `first_value(value) [IGNORE NULLS]`
+* Definition: Return the first value of the frame; if IGNORE NULLS is specified, skip leading NULLs;
+* Example:
+
+```SQL
+IoTDB> SELECT *, first_value(flow) OVER w as first_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+-----------+
+|                         time|device|flow|first_value|
++-----------------------------+------+----+-----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|          2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|          2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|          1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|          1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|          3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|          3|
++-----------------------------+------+----+-----------+
+```
+
+2. `last_value`
+
+* Function name: `last_value(value) [IGNORE NULLS]`
+* Definition: Return the last value of the frame; if IGNORE NULLS is specified, skip trailing NULLs;
+* Example:
+
+```SQL
+IoTDB> SELECT *, last_value(flow) OVER w as last_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|last_value|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+3. `nth_value`
+
+* Function name: `nth_value(value, n) [IGNORE NULLS]`
+* Definition: Return the nth element of the frame (note that n starts from 1); if IGNORE NULLS is specified, skip NULLs;
+* Example:
+
+```SQL
+IoTDB> SELECT *, nth_value(flow, 2) OVER w as nth_values FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|nth_values|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+4. lead
+
+* Function name: `lead(value[, offset[, default]]) [IGNORE NULLS]`
+* Definition: Return the element offset rows after the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default; the default value of offset is 1, and the default value of default is NULL.
+* The lead function requires an ORDER BY window clause
+* Example:
+
+```SQL
+IoTDB> SELECT *, lead(flow) OVER w as lead FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY time);
++-----------------------------+------+----+----+
+|                         time|device|flow|lead|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|null|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   1|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|null|
++-----------------------------+------+----+----+
+```
+
+5. lag
+
+* Function name: `lag(value[, offset[, default]]) [IGNORE NULLS]`
+* Definition: Return the element offset rows before the current row (if IGNORE NULLS is specified, NULLs are not considered); if no such element exists (exceeding the partition range), return default; the default value of offset is 1, and the default value of default is NULL.
+* The lag function requires an ORDER BY window clause
+* Example:
+
+```SQL
+IoTDB> SELECT *, lag(flow) OVER w as lag FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY device);
++-----------------------------+------+----+----+
+|                         time|device|flow| lag|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|null|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|null|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   3|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.3 Rank Function
+
+1. rank
+
+* Function name: `rank()`
+* Definition: Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there may be gaps between sequence numbers;
+* Example:
+
+```SQL
+IoTDB> SELECT *, rank() OVER w as rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+2. dense_rank
+
+* Function name: `dense_rank()`
+* Definition: Return the sequence number of the current row in the entire partition; rows with the same value have the same sequence number, and there are no gaps between sequence numbers.
+* Example:
+
+```SQL
+IoTDB> SELECT *, dense_rank() OVER w as dense_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|dense_rank|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         3|
++-----------------------------+------+----+----------+
+```
+
+3. row_number
+
+* Function name: `row_number()`
+* Definition: Return the row number of the current row in the entire partition; note that the row number starts from 1;
+* Example:
+
+```SQL
+IoTDB> SELECT *, row_number() OVER w as row_number FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|row_number|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         4|
++-----------------------------+------+----+----------+
+```
+
+4. percent_rank
+
+* Function name: `percent_rank()`
+* Definition: Return the sequence number of the current row's value in the entire partition as a percentage; i.e., **(rank() - 1) / (n - 1)**, where n is the number of rows in the entire partition;
+* Example:
+
+```SQL
+IoTDB> SELECT *, percent_rank() OVER w as percent_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+------------------+
+|                         time|device|flow|      percent_rank|
++-----------------------------+------+----+------------------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|               0.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|               1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|               0.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|               1.0|
++-----------------------------+------+----+------------------+
+```
+
+5. cume_dist
+
+* Function name: `cume_dist`
+* Definition: Return the sequence number of the current row's value in the entire partition as a percentage; i.e., **(number of rows less than or equal to it) / n**.
+* Example:
+
+```SQL
+IoTDB> SELECT *, cume_dist() OVER w as cume_dist FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+---------+
+|                         time|device|flow|cume_dist|
++-----------------------------+------+----+---------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|      0.5|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|      1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|     0.25|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|      1.0|
++-----------------------------+------+----+---------+
+```
+
+6. ntile
+
+* Function name: `ntile`
+* Definition: Specify n to number each row from 1 to n.
+    * If the number of rows in the entire partition is less than n, the number is the row index;
+    * If the number of rows in the entire partition is greater than n:
+        * If the number of rows is divisible by n, it is perfect. For example, if the number of rows is 4 and n is 2, the numbers are 1, 1, 2, 2;
+        * If the number of rows is not divisible by n, distribute to the first few groups. For example, if the number of rows is 5 and n is 3, the numbers are 1, 1, 2, 2, 3;
+* Example:
+
+```SQL
+IoTDB> SELECT *, ntile(2) OVER w as ntile FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+-----+
+|                         time|device|flow|ntile|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
++-----------------------------+------+----+-----+
+```
+
+### 2.4 Scenario Examples
+
+1. Multi-device diff function
+
+For each row of each device, calculate the difference from the previous row:
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+For each row of each device, calculate the difference from the next row:
+
+```SQL
+SELECT
+    *,
+    measurement - lead(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+For each row of a single device, calculate the difference from the previous row (same for the next row):
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (ORDER BY time)
+FROM data
+where device='d1'
+WHERE timeCondition;
+```
+
+2. Multi-device TOP_K/BOTTOM_K
+
+Use rank to get the sequence number, then retain the desired order in the outer query.
+
+(Note: The execution order of window functions is after the HAVING clause, so a subquery is needed here)
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY time DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+In addition to sorting by time, you can also sort by the value of the measurement point:
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY measurement DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+3. Multi-device CHANGE_POINTS
+
+This SQL is used to remove consecutive identical values in the input sequence, which can be achieved with lead + subquery:
+
+```SQL
+SELECT
+    time,
+    device,
+    measurement 
+FROM(
+    SELECT          
+        time,         
+        device,         
+        measurement,         
+        LEAD(measurement) OVER (PARTITION BY device ORDER BY time) AS next     
+    FROM data 
+    WHERE timeCondition
+)
+WHERE measurement != next OR next IS NULL;
+```
diff --git a/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md b/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md
index 7ef57fd32..e330555c8 100644
--- a/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md
+++ b/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions.md
@@ -1,3 +1,6 @@
+---
+redirectTo: Featured-Functions_apache.html
+---
 <!--
 
     Licensed to the Apache Software Foundation (ASF) under one
@@ -18,682 +21,3 @@
     under the License.
 
 -->
-
-# 特色函数
-
-## 1. 时序特色函数
-
-### 1.1 降采样函数
-
-#### 1.1.1 `date_bin` 函数
-
-##### 功能描述：
-
-`date_bin` 是一个标量函数，用于将时间戳规整到指定的时间区间起点，并结合 `GROUP BY` 子句实现降采样。
-
-- 部分区间结果为空：只会对满足条件的数据进行时间戳规整，不会填充缺失的时间区间。
-- 全部区间结果为空：：满足条件的整个查询范围内没有数据时，降采样返回空结果集
-
-##### 使用示例：
-
-###### 示例数据
-
-在[示例数据页面](../Reference/Sample-Data.md)中，包含了用于构建表结构和插入数据的SQL语句，下载并在IoTDB CLI中执行这些语句，即可将数据导入IoTDB，您可以使用这些数据来测试和执行示例中的SQL语句，并获得相应的结果。
-
-示例 1：获取设备** **`100`** **某个时间范围的每小时平均温度
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-结果：
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-示例 2：获取每个设备某个时间范围的每小时平均温度
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-GROUP BY 1, device_id;
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-29T11:00:00.000+08:00|      100|    null|
-|2024-11-29T18:00:00.000+08:00|      100|    90.0|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-29T10:00:00.000+08:00|      101|    85.0|
-|2024-11-27T16:00:00.000+08:00|      101|    85.0|
-+-----------------------------+---------+--------+
-```
-
-示例 3：获取所有设备某个时间范围的每小时平均温度
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-  FROM table1
-  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-  group by 1;  
-```
-
-结果：
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T10:00:00.000+08:00|    85.0|
-|2024-11-27T16:00:00.000+08:00|    85.0|
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-#### 1.1.2 `date_bin_gapfill` 函数
-
-##### 功能描述
-
-`date_bin_gapfill` 是 `date_bin` 的扩展，能够填充缺失的时间区间，从而返回完整的时间序列。
-
-- 部分区间结果为空：对满足条件的数据进行时间戳规整，并填充缺失的时间区间。
-- 全部区间结果为空：：整个查询范围内没有数据时，`date_bin_gapfill`会返回空结果集
-
-##### 功能限制
-
-- **`date_bin_gapfill`** **必须与** **`GROUP BY`** **子句搭配使用**，如果用在其他子句中，不会报错，但不会执行 gapfill 功能，效果与使用 `date_bin` 相同。
-- **每个** **`GROUP BY`** **子句中只能使用一个** **`date_bin_gapfill`**。如果出现多个 `date_bin_gapfill`，会报错：multiple date_bin_gapfill calls not allowed
-- **`date_bin_gapfill`** **的执行顺序**：GAPFILL 功能发生在 `HAVING` 子句执行之后，`FILL` 子句执行之前。
-- **使用** **`date_bin_gapfill`** **时，****`WHERE`** **子句中的时间过滤条件必须是以下形式之一：**
-  - `time >= XXX AND time <= XXX`
-  - `time > XXX AND time < XXX`
-  - `time BETWEEN XXX AND XXX` 
-- **使用** **`date_bin_gapfill`** **时，如果出现其他时间过滤条件**，会报错。时间过滤条件与其他值过滤条件只能通过 `AND` 连接。
-- **如果不能从 where 子句中推断出 startTime 和 endTime，则报错**：could not infer startTime or endTime from WHERE clause。
-
-##### 使用示例
-
-示例 1：填充缺失时间区间
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-结果：
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-28T07:00:00.000+08:00|    null|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-|2024-11-28T12:00:00.000+08:00|    null|
-|2024-11-28T13:00:00.000+08:00|    null|
-|2024-11-28T14:00:00.000+08:00|    null|
-|2024-11-28T15:00:00.000+08:00|    null|
-|2024-11-28T16:00:00.000+08:00|    null|
-+-----------------------------+--------+
-```
-
-示例 2：结合设备分组填充缺失时间区间
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
-GROUP BY 1, device_id;
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-28T07:00:00.000+08:00|      100|    null|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-28T12:00:00.000+08:00|      100|    null|
-|2024-11-28T13:00:00.000+08:00|      100|    null|
-|2024-11-28T14:00:00.000+08:00|      100|    null|
-|2024-11-28T15:00:00.000+08:00|      100|    null|
-|2024-11-28T16:00:00.000+08:00|      100|    null|
-+-----------------------------+---------+--------+
-```
-
-示例 3：查询范围内没有数据返回空结果集
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
-GROUP BY 1, device_id;
-```
-
-结果：
-
-```Plain
-+---------+---------+--------+
-|hour_time|device_id|avg_temp|
-+---------+---------+--------+
-+---------+---------+--------+
-```
-
-### 1.2 DIFF函数
-
-##### 功能概述
-
-`DIFF` 函数用于计算当前行与上一行的差值。对于第一行，由于没有前一行数据，因此永远返回 `NULL`。
-
-##### 函数定义
-
-```
-DIFF(numberic[, boolean]) -> Double
-```
-
-##### 参数说明
-
-- 第一个参数：数值类型
-
-    - **类型**：必须是数值类型（`INT32`、`INT64`、`FLOAT`、`DOUBLE`）
-    - **作用**：指定要计算差值的列。
-
-- 第二个参数：布尔类型（可选）
-    - **类型**：布尔类型（`true` 或 `false`）。
-    - **默认值**：`true`。
-    - **作用**：
-        - **`true`**：忽略 `NULL` 值，向前找到第一个非 `NULL` 值进行差值计算。如果前面没有非 `NULL` 值，则返回 `NULL`。
-        - **`false`**：不忽略 `NULL` 值，如果前一行为 `NULL`，则差值结果为 `NULL`。
-
-##### 注意事项
-
-- 在树模型中，第二个参数需要指定为 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，但在表模型中，只需指定为 `true` 或 `false`。
-- 如果用户写成 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，表模型会将其视为对两个字符串常量进行等号比较，返回布尔值，但结果总是 `false`，等价于指定第二个参数为 `false`。
-
-##### 使用示例
-
-示例 1：忽略 `NULL` 值
-
-```SQL
-SELECT time, DIFF(temperature) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|      0.0|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-示例 2：不忽略 `NULL` 值
-
-```SQL
-SELECT time, DIFF(temperature, false) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|     null|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-示例 3：完整示例
-
-```SQL
-SELECT time, temperature, 
-       DIFF(temperature) AS diff_temp_1,
-       DIFF(temperature, false) AS diff_temp_2
-FROM table1 
-WHERE device_id = '100';
-```
-
-结果：
-
-```Plain
-+-----------------------------+-----------+-----------+-----------+
-|                         time|temperature|diff_temp_1|diff_temp_2|
-+-----------------------------+-----------+-----------+-----------+
-|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
-|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
-|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
-|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
-|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
-|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
-|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
-|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
-+-----------------------------+-----------+-----------+-----------+
-```
-
-### 1.3 时序分窗函数
-
-原始示例数据如下：
-
-```SQL
-IoTDB> SELECT * FROM bid;
-+-----------------------------+--------+-----+
-|                         time|stock_id|price|
-+-----------------------------+--------+-----+
-|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+--------+-----+
-
--- 创建语句
-CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
--- 插入数据
-INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
-```
-
-#### 1.3.1 HOP
-
-##### 功能描述
-
-HOP 函数用于按时间分段分窗分析，识别每一行数据所属的时间窗口。该函数通过指定固定窗口大小（size）和窗口滑动步长（SLIDE），将数据按时间戳分配到所有与其时间戳重叠的窗口中。若窗口之间存在重叠（步长 < 窗口大小），数据会自动复制到多个窗口。
-
-##### 函数定义
-
-```SQL
-HOP(data, timecol, size, slide[, origin])
-```
-
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                        | 描述               |
-| --------- | ---------- | --------------------------------- | -------------------- |
-| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
-| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
-| SIZE    | 标量参数 | 长整数类型                      | 窗口大小           |
-| SLIDE   | 标量参数 | 长整数类型                      | 窗口滑动步长       |
-| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
-
-##### 返回结果
-
-HOP 函数的返回结果列包含：
-
-* window\_start: 窗口开始时间（闭区间）
-* window\_end: 窗口结束时间（开区间）
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```SQL
-IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-#### 1.3.2 SESSION
-
-##### 功能描述
-
-SESSION 函数用于按会话间隔对数据进行分窗。系统逐行检查与前一行的时间间隔，小于阈值（GAP）则归入当前窗口，超过则归入下一个窗口。
-
-##### 函数定义
-
-```SQL
-SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
-```
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                 | 描述                                   |
-| --------- | ---------- | -------------------------- | ---------------------------------------- |
-| DATA    | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
-| TIMECOL | 标量参数 | 字符串类型默认值：'time' | 时间列名
-|
-| GAP     | 标量参数 | 长整数类型               | 会话间隔阈值                           |
-
-##### 返回结果
-
-SESSION 函数的返回结果列包含：
-
-* window\_start: 会话窗口内的第一条数据的时间
-* window\_end: 会话窗口内的最后一条数据的时间
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```SQL
-IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY SESSION
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-#### 1.3.3 VARIATION
-
-##### 功能描述
-
-VARIATION 函数用于按数据差值分窗，将第一条数据作为首个窗口的基准值，每个数据点会与基准值进行差值运算，如果差值小于给定的阈值（delta）则加入当前窗口；如果超过阈值，则分为下一个窗口，将该值作为下一个窗口的基准值。
-
-##### 函数定义
-
-```sql
-VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
-```
-
-##### 参数说明
-
-| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
-| -------- | ---------- | -------------------------- | ---------------------------------------- |
-| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
-| COL    | 标量参数 | 字符串类型               | 标识对哪一列计算差值                   |
-| DELTA  | 标量参数 | 浮点数类型               | 差值阈值                               |
-
-##### 返回结果
-
-VARIATION 函数的返回结果列包含：
-
-* window\_index: 窗口编号
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```sql
-IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY VARIATION
-IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-#### 1.3.4 CAPACITY
-
-##### 功能描述
-
-CAPACITY 函数用于按数据点数（行数）分窗，每个窗口最多有 SIZE 行数据。
-
-##### 函数定义
-
-```sql
-CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
-```
-
-##### 参数说明
-
-| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
-| -------- | ---------- | -------------------------- | ---------------------------------------- |
-| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
-| SIZE   | 标量参数 | 长整数类型               | 窗口大小                               |
-
-##### 返回结果
-
-CAPACITY 函数的返回结果列包含：
-
-* window\_index: 窗口编号
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```sql
-IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY COUNT
-IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                   start_time|                     end_time|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
-|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-#### 1.3.5 TUMBLE
-
-##### 功能描述
-
-TUMBLE 函数用于通过时间属性字段为每行数据分配一个窗口，滚动窗口的大小固定且不重复。
-
-##### 函数定义
-
-```sql
-TUMBLE(data, timecol, size[, origin])
-```
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                        | 描述               |
-| --------- | ---------- | --------------------------------- | -------------------- |
-| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
-| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
-| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，需为正数 |
-| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
-
-##### 返回结果
-
-TUBMLE 函数的返回结果列包含：
-
-* window\_start: 窗口开始时间（闭区间）
-* window\_end: 窗口结束时间（开区间）
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```SQL
-IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-#### 1.3.6 CUMULATE
-
-##### 功能描述
-
-Cumulate 函数用于从初始的窗口开始，创建相同窗口开始但窗口结束步长不同的窗口，直到达到最大的窗口大小。每个窗口包含其区间内的元素。例如：1小时步长，24小时大小的累计窗口，每天可以获得如下这些窗口：`[00:00, 01:00)`，`[00:00, 02:00)`，`[00:00, 03:00)`， …， `[00:00, 24:00)`
-
-##### 函数定义
-
-```sql
-CUMULATE(data, timecol, size, step[, origin])
-```
-
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                        | 描述                                       |
-| --------- | ---------- | --------------------------------- | -------------------------------------------- |
-| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表                                     |
-| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列                                     |
-| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，SIZE必须是STEP的整数倍，需为正数 |
-| STEP    | 标量参数 | 长整数类型                      | 窗口步长，需为正数                         |
-| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间                         |
-
-> 注意：size 如果不是 step 的整数倍，则会报错`Cumulative table function requires size must be an integral multiple of step`
-
-##### 返回结果
-
-CUMULATE函数的返回结果列包含：
-
-* window\_start: 窗口开始时间（闭区间）
-* window\_end: 窗口结束时间（开区间）
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```sql
-IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
diff --git a/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md b/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md
new file mode 100644
index 000000000..ce343bd9a
--- /dev/null
+++ b/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_apache.md
@@ -0,0 +1,699 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+
+# 特色函数
+
+## 1. 时序特色函数
+
+### 1.1 降采样函数
+
+#### 1.1.1 `date_bin` 函数
+
+##### 功能描述：
+
+`date_bin` 是一个标量函数，用于将时间戳规整到指定的时间区间起点，并结合 `GROUP BY` 子句实现降采样。
+
+- 部分区间结果为空：只会对满足条件的数据进行时间戳规整，不会填充缺失的时间区间。
+- 全部区间结果为空：：满足条件的整个查询范围内没有数据时，降采样返回空结果集
+
+##### 使用示例：
+
+###### 示例数据
+
+在[示例数据页面](../Reference/Sample-Data.md)中，包含了用于构建表结构和插入数据的SQL语句，下载并在IoTDB CLI中执行这些语句，即可将数据导入IoTDB，您可以使用这些数据来测试和执行示例中的SQL语句，并获得相应的结果。
+
+示例 1：获取设备** **`100`** **某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+示例 2：获取每个设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+示例 3：获取所有设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+#### 1.1.2 `date_bin_gapfill` 函数
+
+##### 功能描述
+
+`date_bin_gapfill` 是 `date_bin` 的扩展，能够填充缺失的时间区间，从而返回完整的时间序列。
+
+- 部分区间结果为空：对满足条件的数据进行时间戳规整，并填充缺失的时间区间。
+- 全部区间结果为空：：整个查询范围内没有数据时，`date_bin_gapfill`会返回空结果集
+
+##### 功能限制
+
+- **`date_bin_gapfill`** **必须与** **`GROUP BY`** **子句搭配使用**，如果用在其他子句中，不会报错，但不会执行 gapfill 功能，效果与使用 `date_bin` 相同。
+- **每个** **`GROUP BY`** **子句中只能使用一个** **`date_bin_gapfill`**。如果出现多个 `date_bin_gapfill`，会报错：multiple date_bin_gapfill calls not allowed
+- **`date_bin_gapfill`** **的执行顺序**：GAPFILL 功能发生在 `HAVING` 子句执行之后，`FILL` 子句执行之前。
+- **使用** **`date_bin_gapfill`** **时，****`WHERE`** **子句中的时间过滤条件必须是以下形式之一：**
+    - `time >= XXX AND time <= XXX`
+    - `time > XXX AND time < XXX`
+    - `time BETWEEN XXX AND XXX`
+- **使用** **`date_bin_gapfill`** **时，如果出现其他时间过滤条件**，会报错。时间过滤条件与其他值过滤条件只能通过 `AND` 连接。
+- **如果不能从 where 子句中推断出 startTime 和 endTime，则报错**：could not infer startTime or endTime from WHERE clause。
+
+##### 使用示例
+
+示例 1：填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+示例 2：结合设备分组填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+示例 3：查询范围内没有数据返回空结果集
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+### 1.2 DIFF函数
+
+##### 功能概述
+
+`DIFF` 函数用于计算当前行与上一行的差值。对于第一行，由于没有前一行数据，因此永远返回 `NULL`。
+
+##### 函数定义
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+##### 参数说明
+
+- 第一个参数：数值类型
+
+    - **类型**：必须是数值类型（`INT32`、`INT64`、`FLOAT`、`DOUBLE`）
+    - **作用**：指定要计算差值的列。
+
+- 第二个参数：布尔类型（可选）
+    - **类型**：布尔类型（`true` 或 `false`）。
+    - **默认值**：`true`。
+    - **作用**：
+        - **`true`**：忽略 `NULL` 值，向前找到第一个非 `NULL` 值进行差值计算。如果前面没有非 `NULL` 值，则返回 `NULL`。
+        - **`false`**：不忽略 `NULL` 值，如果前一行为 `NULL`，则差值结果为 `NULL`。
+
+##### 注意事项
+
+- 在树模型中，第二个参数需要指定为 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，但在表模型中，只需指定为 `true` 或 `false`。
+- 如果用户写成 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，表模型会将其视为对两个字符串常量进行等号比较，返回布尔值，但结果总是 `false`，等价于指定第二个参数为 `false`。
+
+##### 使用示例
+
+示例 1：忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 2：不忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 3：完整示例
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+### 1.3 时序分窗函数
+
+原始示例数据如下：
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- 创建语句
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- 插入数据
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+#### 1.3.1 HOP
+
+##### 功能描述
+
+HOP 函数用于按时间分段分窗分析，识别每一行数据所属的时间窗口。该函数通过指定固定窗口大小（size）和窗口滑动步长（SLIDE），将数据按时间戳分配到所有与其时间戳重叠的窗口中。若窗口之间存在重叠（步长 < 窗口大小），数据会自动复制到多个窗口。
+
+##### 函数定义
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小           |
+| SLIDE   | 标量参数 | 长整数类型                      | 窗口滑动步长       |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+HOP 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.2 SESSION
+
+##### 功能描述
+
+SESSION 函数用于按会话间隔对数据进行分窗。系统逐行检查与前一行的时间间隔，小于阈值（GAP）则归入当前窗口，超过则归入下一个窗口。
+
+##### 函数定义
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                 | 描述                                   |
+| --------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA    | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| TIMECOL | 标量参数 | 字符串类型默认值：'time' | 时间列名
+|
+| GAP     | 标量参数 | 长整数类型               | 会话间隔阈值                           |
+
+##### 返回结果
+
+SESSION 函数的返回结果列包含：
+
+* window\_start: 会话窗口内的第一条数据的时间
+* window\_end: 会话窗口内的最后一条数据的时间
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY SESSION
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.3 VARIATION
+
+##### 功能描述
+
+VARIATION 函数用于按数据差值分窗，将第一条数据作为首个窗口的基准值，每个数据点会与基准值进行差值运算，如果差值小于给定的阈值（delta）则加入当前窗口；如果超过阈值，则分为下一个窗口，将该值作为下一个窗口的基准值。
+
+##### 函数定义
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| COL    | 标量参数 | 字符串类型               | 标识对哪一列计算差值                   |
+| DELTA  | 标量参数 | 浮点数类型               | 差值阈值                               |
+
+##### 返回结果
+
+VARIATION 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY VARIATION
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.4 CAPACITY
+
+##### 功能描述
+
+CAPACITY 函数用于按数据点数（行数）分窗，每个窗口最多有 SIZE 行数据。
+
+##### 函数定义
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| SIZE   | 标量参数 | 长整数类型               | 窗口大小                               |
+
+##### 返回结果
+
+CAPACITY 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY COUNT
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.5 TUMBLE
+
+##### 功能描述
+
+TUMBLE 函数用于通过时间属性字段为每行数据分配一个窗口，滚动窗口的大小固定且不重复。
+
+##### 函数定义
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，需为正数 |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+TUBMLE 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.6 CUMULATE
+
+##### 功能描述
+
+Cumulate 函数用于从初始的窗口开始，创建相同窗口开始但窗口结束步长不同的窗口，直到达到最大的窗口大小。每个窗口包含其区间内的元素。例如：1小时步长，24小时大小的累计窗口，每天可以获得如下这些窗口：`[00:00, 01:00)`，`[00:00, 02:00)`，`[00:00, 03:00)`， …， `[00:00, 24:00)`
+
+##### 函数定义
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述                                       |
+| --------- | ---------- | --------------------------------- | -------------------------------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表                                     |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列                                     |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，SIZE必须是STEP的整数倍，需为正数 |
+| STEP    | 标量参数 | 长整数类型                      | 窗口步长，需为正数                         |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间                         |
+
+> 注意：size 如果不是 step 的整数倍，则会报错`Cumulative table function requires size must be an integral multiple of step`
+
+##### 返回结果
+
+CUMULATE函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
diff --git a/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md b/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
new file mode 100644
index 000000000..89277bd3b
--- /dev/null
+++ b/src/zh/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
@@ -0,0 +1,1431 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+
+# 特色函数
+
+## 1. 时序特色函数
+
+### 1.1 降采样函数
+
+#### 1.1.1 `date_bin` 函数
+
+##### 功能描述：
+
+`date_bin` 是一个标量函数，用于将时间戳规整到指定的时间区间起点，并结合 `GROUP BY` 子句实现降采样。
+
+- 部分区间结果为空：只会对满足条件的数据进行时间戳规整，不会填充缺失的时间区间。
+- 全部区间结果为空：：满足条件的整个查询范围内没有数据时，降采样返回空结果集
+
+##### 使用示例：
+
+###### 示例数据
+
+在[示例数据页面](../Reference/Sample-Data.md)中，包含了用于构建表结构和插入数据的SQL语句，下载并在IoTDB CLI中执行这些语句，即可将数据导入IoTDB，您可以使用这些数据来测试和执行示例中的SQL语句，并获得相应的结果。
+
+示例 1：获取设备** **`100`** **某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+示例 2：获取每个设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+示例 3：获取所有设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+#### 1.1.2 `date_bin_gapfill` 函数
+
+##### 功能描述
+
+`date_bin_gapfill` 是 `date_bin` 的扩展，能够填充缺失的时间区间，从而返回完整的时间序列。
+
+- 部分区间结果为空：对满足条件的数据进行时间戳规整，并填充缺失的时间区间。
+- 全部区间结果为空：：整个查询范围内没有数据时，`date_bin_gapfill`会返回空结果集
+
+##### 功能限制
+
+- **`date_bin_gapfill`** **必须与** **`GROUP BY`** **子句搭配使用**，如果用在其他子句中，不会报错，但不会执行 gapfill 功能，效果与使用 `date_bin` 相同。
+- **每个** **`GROUP BY`** **子句中只能使用一个** **`date_bin_gapfill`**。如果出现多个 `date_bin_gapfill`，会报错：multiple date_bin_gapfill calls not allowed
+- **`date_bin_gapfill`** **的执行顺序**：GAPFILL 功能发生在 `HAVING` 子句执行之后，`FILL` 子句执行之前。
+- **使用** **`date_bin_gapfill`** **时，****`WHERE`** **子句中的时间过滤条件必须是以下形式之一：**
+    - `time >= XXX AND time <= XXX`
+    - `time > XXX AND time < XXX`
+    - `time BETWEEN XXX AND XXX`
+- **使用** **`date_bin_gapfill`** **时，如果出现其他时间过滤条件**，会报错。时间过滤条件与其他值过滤条件只能通过 `AND` 连接。
+- **如果不能从 where 子句中推断出 startTime 和 endTime，则报错**：could not infer startTime or endTime from WHERE clause。
+
+##### 使用示例
+
+示例 1：填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+示例 2：结合设备分组填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+示例 3：查询范围内没有数据返回空结果集
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+### 1.2 DIFF函数
+
+##### 功能概述
+
+`DIFF` 函数用于计算当前行与上一行的差值。对于第一行，由于没有前一行数据，因此永远返回 `NULL`。
+
+##### 函数定义
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+##### 参数说明
+
+- 第一个参数：数值类型
+
+    - **类型**：必须是数值类型（`INT32`、`INT64`、`FLOAT`、`DOUBLE`）
+    - **作用**：指定要计算差值的列。
+
+- 第二个参数：布尔类型（可选）
+    - **类型**：布尔类型（`true` 或 `false`）。
+    - **默认值**：`true`。
+    - **作用**：
+        - **`true`**：忽略 `NULL` 值，向前找到第一个非 `NULL` 值进行差值计算。如果前面没有非 `NULL` 值，则返回 `NULL`。
+        - **`false`**：不忽略 `NULL` 值，如果前一行为 `NULL`，则差值结果为 `NULL`。
+
+##### 注意事项
+
+- 在树模型中，第二个参数需要指定为 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，但在表模型中，只需指定为 `true` 或 `false`。
+- 如果用户写成 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，表模型会将其视为对两个字符串常量进行等号比较，返回布尔值，但结果总是 `false`，等价于指定第二个参数为 `false`。
+
+##### 使用示例
+
+示例 1：忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 2：不忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 3：完整示例
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+### 1.3 时序分窗函数
+
+原始示例数据如下：
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- 创建语句
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- 插入数据
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+#### 1.3.1 HOP
+
+##### 功能描述
+
+HOP 函数用于按时间分段分窗分析，识别每一行数据所属的时间窗口。该函数通过指定固定窗口大小（size）和窗口滑动步长（SLIDE），将数据按时间戳分配到所有与其时间戳重叠的窗口中。若窗口之间存在重叠（步长 < 窗口大小），数据会自动复制到多个窗口。
+
+##### 函数定义
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小           |
+| SLIDE   | 标量参数 | 长整数类型                      | 窗口滑动步长       |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+HOP 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.2 SESSION
+
+##### 功能描述
+
+SESSION 函数用于按会话间隔对数据进行分窗。系统逐行检查与前一行的时间间隔，小于阈值（GAP）则归入当前窗口，超过则归入下一个窗口。
+
+##### 函数定义
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                 | 描述                                   |
+| --------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA    | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| TIMECOL | 标量参数 | 字符串类型默认值：'time' | 时间列名
+|
+| GAP     | 标量参数 | 长整数类型               | 会话间隔阈值                           |
+
+##### 返回结果
+
+SESSION 函数的返回结果列包含：
+
+* window\_start: 会话窗口内的第一条数据的时间
+* window\_end: 会话窗口内的最后一条数据的时间
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY SESSION
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.3 VARIATION
+
+##### 功能描述
+
+VARIATION 函数用于按数据差值分窗，将第一条数据作为首个窗口的基准值，每个数据点会与基准值进行差值运算，如果差值小于给定的阈值（delta）则加入当前窗口；如果超过阈值，则分为下一个窗口，将该值作为下一个窗口的基准值。
+
+##### 函数定义
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| COL    | 标量参数 | 字符串类型               | 标识对哪一列计算差值                   |
+| DELTA  | 标量参数 | 浮点数类型               | 差值阈值                               |
+
+##### 返回结果
+
+VARIATION 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY VARIATION
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.4 CAPACITY
+
+##### 功能描述
+
+CAPACITY 函数用于按数据点数（行数）分窗，每个窗口最多有 SIZE 行数据。
+
+##### 函数定义
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| SIZE   | 标量参数 | 长整数类型               | 窗口大小                               |
+
+##### 返回结果
+
+CAPACITY 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY COUNT
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.5 TUMBLE
+
+##### 功能描述
+
+TUMBLE 函数用于通过时间属性字段为每行数据分配一个窗口，滚动窗口的大小固定且不重复。
+
+##### 函数定义
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，需为正数 |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+TUBMLE 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.6 CUMULATE
+
+##### 功能描述
+
+Cumulate 函数用于从初始的窗口开始，创建相同窗口开始但窗口结束步长不同的窗口，直到达到最大的窗口大小。每个窗口包含其区间内的元素。例如：1小时步长，24小时大小的累计窗口，每天可以获得如下这些窗口：`[00:00, 01:00)`，`[00:00, 02:00)`，`[00:00, 03:00)`， …， `[00:00, 24:00)`
+
+##### 函数定义
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述                                       |
+| --------- | ---------- | --------------------------------- | -------------------------------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表                                     |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列                                     |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，SIZE必须是STEP的整数倍，需为正数 |
+| STEP    | 标量参数 | 长整数类型                      | 窗口步长，需为正数                         |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间                         |
+
+> 注意：size 如果不是 step 的整数倍，则会报错`Cumulative table function requires size must be an integral multiple of step`
+
+##### 返回结果
+
+CUMULATE函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+## 2. 窗口函数
+
+### 2.1 功能介绍
+
+IoTDB 支持的窗口函数（Window Function） 是一种基于与当前行相关的特定行集合（称为“窗口”） 对每一行进行计算的特殊函数。它将分组操作（`PARTITION BY`）、排序（`ORDER BY`）与可定义的计算范围（窗口框架 `FRAME`）结合，在不折叠原始数据行的前提下实现复杂的跨行计算。常用于数据分析场景，比如排名、累计和、移动平均等操作。
+
+> 注意：该功能从 V 2.0.5 版本开始提供。
+
+例如，某场景下需要查询不同设备的功耗累加值，即可通过窗口函数来实现。
+
+```SQL
+-- 原始数据
++-----------------------------+------+-----+
+|                         time|device| flow|
++-----------------------------+------+-----+
+|1970-01-01T08:00:00.000+08:00|    d0|    3|
+|1970-01-01T08:00:00.001+08:00|    d0|    5|
+|1970-01-01T08:00:00.002+08:00|    d0|    3|
+|1970-01-01T08:00:00.003+08:00|    d0|    1|
+|1970-01-01T08:00:00.004+08:00|    d1|    2|
+|1970-01-01T08:00:00.005+08:00|    d1|    4|
++-----------------------------+------+-----+
+
+-- 创建表并插入数据
+CREATE TABLE device_flow(device String tag,  flow INT32 FIELD);
+insert into device_flow(time, device ,flow ) values ('1970-01-01T08:00:00.000+08:00','d0',3),('1970-01-01T08:00:01.000+08:00','d0',5),('1970-01-01T08:00:02.000+08:00','d0',3),('1970-01-01T08:00:03.000+08:00','d0',1),('1970-01-01T08:00:04.000+08:00','d1',2),('1970-01-01T08:00:05.000+08:00','d1',4);
+
+
+--执行窗口函数查询
+SELECT *, sum(flow) ​OVER(PARTITION​ ​BY​ device ​ORDER​ ​BY​ flow) ​as​ sum ​FROM device_flow;
+```
+
+经过分组、排序、计算（步骤拆解如下图所示），
+
+![](/img/window-function-1.png)
+
+即可得到期望结果：
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+### 2.2 功能定义
+#### 2.2.1 SQL 定义
+
+```SQL
+windowDefinition
+    : name=identifier AS '(' windowSpecification ')'
+    ;
+
+windowSpecification
+    : (existingWindowName=identifier)?
+      (PARTITION BY partition+=expression (',' partition+=expression)*)?
+      (ORDER BY sortItem (',' sortItem)*)?
+      windowFrame?
+    ;
+
+windowFrame
+    : frameExtent
+    ;
+
+frameExtent
+    : frameType=RANGE start=frameBound
+    | frameType=ROWS start=frameBound
+    | frameType=GROUPS start=frameBound
+    | frameType=RANGE BETWEEN start=frameBound AND end=frameBound
+    | frameType=ROWS BETWEEN start=frameBound AND end=frameBound
+    | frameType=GROUPS BETWEEN start=frameBound AND end=frameBound
+    ;
+
+frameBound
+    : UNBOUNDED boundType=PRECEDING                 #unboundedFrame
+    | UNBOUNDED boundType=FOLLOWING                 #unboundedFrame
+    | CURRENT ROW                                   #currentRowBound
+    | expression boundType=(PRECEDING | FOLLOWING)  #boundedFrame
+    ;
+```
+
+#### 2.2.2 窗口定义
+##### Partition
+
+`PARTITION BY` 用于将数据分为多个独立、不相关的「组」，窗口函数只能访问并操作其所属分组内的数据，无法访问其它分组。该子句是可选的；如果未显式指定，则默认将所有数据分到同一组。值得注意的是，与 `GROUP BY` 通过聚合函数将一组数据规约成一行不同，`PARTITION BY` 的窗口函数**并不会影响组内的行数。**
+
+* 示例
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER (PARTITION BY device) as count FROM device_flow;
+```
+
+拆解步骤：
+
+![](/img/window-function-2.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    4|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    4|
++-----------------------------+------+----+-----+
+```
+
+##### Ordering
+
+`ORDER BY` 用于对 partition 内的数据进行排序。排序后，相等的行被称为 peers。peers 会影响窗口函数的行为，例如不同 rank function 对 peers 的处理不同；不同 frame 的划分方式对于 peers 的处理也不同。该子句是可选的。
+
+* 示例
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, rank() OVER (PARTITION BY device ORDER BY flow) as rank FROM device_flow;
+```
+
+拆解步骤：
+
+![](/img/window-function-3.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+##### Framing
+
+对于 partition 中的每一行，窗口函数都会在相应的一组行上求值，这些行称为 Frame（即 Window Function 在每一行上的输入域）。Frame 可以手动指定，指定时涉及两个属性，具体说明如下。
+
+<table style="text-align: left;">
+    <tbody>
+    <tr>
+        <th>Frame 属性</th>
+        <th>属性值</th>
+        <th>值描述</th>
+    </tr>
+    <tr>
+        <td rowspan="3">类型</td>
+        <td>ROWS</td>
+        <td>通过行号来划分 frame</td>
+    </tr>
+    <tr>
+        <td>GROUPS</td>
+        <td>通过 peers 来划分 frame，即值相同的行视为同等的存在。peers 中所有的行分为一个组，叫做 peer group</td>
+    </tr>
+    <tr>
+        <td>RANGE</td>
+        <td>通过值来划分 frame</td>
+    </tr>
+    <tr>
+        <td rowspan="5">起始和终止位置</td>
+        <td>UNBOUNDED PRECEDING</td>
+        <td>整个 partition 的第一行</td>
+    </tr>
+    <tr>
+        <td>offset PRECEDING</td>
+        <td>代表前面和当前行「距离」为 offset 的行</td>
+    </tr>
+    <tr>
+        <td>CURRENT ROW</td>
+        <td>当前行</td>
+    </tr>
+    <tr>
+        <td>offset FOLLOWING</td>
+        <td>代表后面和当前行「距离」为 offset 的行</td>
+    </tr>
+    <tr>
+        <td>UNBOUNDED FOLLOWING</td>
+        <td>整个 partition 的最后一行</td>
+    </tr>
+    </tbody>
+</table>
+
+其中，`CURRENT ROW`、`PRECEDING N` 和 `FOLLOWING N` 的含义随着 frame 种类的不同而不同，如下表所示：
+
+|                    | `ROWS`     | `GROUPS`                                                                                                                     | `RANGE`                                                                                                        |
+|--------------------|------------|------------------------------------------------------------------------------------------------------------------------------|----------------------------------------------------------------------------------------------------------------|
+| `CURRENT ROW`      | 当前行        | 由于 peer group 包含多行，因此这个选项根据作用于 frame\_start 和 frame\_end 而不同：* frame\_start：peer group 的第一行；* frame\_end：peer group 的最后一行。  | 和 GROUPS 相同，根据作用于 frame\_start 和 frame\_end 而不同：* frame\_start：peer group 的第一行；* frame\_end：peer group 的最后一行。  |
+| `offset PRECEDING` | 前 offset 行 | 前 offset 个 peer group；                                                                                                       | 前面与当前行的值之差小于等于 offset 就分为一个 frame                                                                              |
+| `offset FOLLOWING` | 后 offset 行 | 后 offset 个 peer group。                                                                                                       | 后面与当前行的值之差小于等于 offset 就分为一个 frame                                                                              |
+
+语法格式如下：
+
+```SQL
+-- 同时指定 frame_start 和 frame_end
+{ RANGE | ROWS | GROUPS } BETWEEN frame_start AND frame_end
+-- 仅指定 frame_start，frame_end 为 CURRENT ROW
+{ RANGE | ROWS | GROUPS } frame_start
+```
+
+若未手动指定 Frame，Frame 的默认划分规则如下：
+
+* 当窗口函数使用 ORDER BY 时：默认 Frame 为 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW (即从窗口的第一行到当前行)。例如：RANK() OVER(PARTITION BY COL1 0RDER BY COL2) 中，Frame 默认包含分区内当前行及之前的所有行。
+* 当窗口函数不使用 ORDER BY 时：默认 Frame 为 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING (即整个窗口的所有行)。例如：AVG(COL2) OVER(PARTITION BY col1) 中，Frame 默认包含分区内的所有行，计算整个分区的平均值。
+
+需要注意的是，当 Frame 类型为 GROUPS 或 RANGE 时，需要指定 `ORDER BY`，区别在于 GROUPS 中的 ORDER BY 可以涉及多个字段，而 RANGE 需要计算，所以只能指定一个字段。
+
+* 示例
+
+1. Frame 类型为 ROWS
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ROWS 1 PRECEDING) as count FROM device_flow;
+```
+
+拆解步骤：
+
+* 取前一行和当前行作为 Frame
+    * 对于 partition 的第一行，由于没有前一行，所以整个 Frame 只有它一行，返回 1；
+    * 对于 partition 的其他行，整个 Frame 包含当前行和它的前一行，返回 2：
+
+![](/img/window-function-4.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    2|
++-----------------------------+------+----+-----+
+```
+
+2. Frame 类型为 GROUPS
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ORDER BY flow GROUPS BETWEEN 1 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+拆解步骤：
+
+* 取前一个 peer group 和当前 peer group 作为 Frame，那么以 device 为 d0 的 partition 为例（d1同理），对于 count 行数：
+    * 对于 flow 为 1 的 peer group，由于它也没比它小的 peer group 了，所以整个 Frame 就它一行，返回 1；
+    * 对于 flow 为 3 的 peer group，它本身包含 2 行，前一个 peer group 就是 flow 为 1 的，就一行，因此整个 Frame 三行，返回 3；
+    * 对于 flow 为 5 的 peer group，它本身包含 1 行，前一个 peer group 就是 flow 为 3 的，共两行，因此整个 Frame 三行，返回 3。
+
+![](/img/window-function-5.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+3. Frame 类型为 RANGE
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *,count(flow) OVER(PARTITION BY device ORDER BY flow RANGE BETWEEN 2 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+拆解步骤：
+
+* 把比当前行数据**小于等于 2 ​**的分为同一个 Frame，那么以 device 为 d0 的 partition 为例（d1 同理），对于 count 行数：
+    * 对于 flow 为 1 的行，由于它是最小的行了，所以整个 Frame 就它一行，返回 1；
+    * 对于 flow 为 3 的行，注意 CURRENT ROW 是作为 frame\_end 存在，因此是整个 peer group 的最后一行，符合要求比它小的共 1 行，然后 peer group 有 2 行，所以整个 Frame 共 3 行，返回 3；
+    * 对于 flow 为 5 的行，它本身包含 1 行，符合要求的比它小的共 2 行，所以整个 Frame 共 3 行，返回 3。
+
+![](/img/window-function-6.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+### 2.3 内置的窗口函数
+
+<table style="text-align: left;">
+  <tbody>
+    <tr>
+      <th>窗口函数分类</th>
+      <th>窗口函数名</th>
+      <th>函数定义</th>
+      <th>是否支持 FRAME 子句</th>
+    </tr>
+    <tr>
+      <td rowspan="1">Aggregate Function</td>
+      <td>所有内置聚合函数</td>
+      <td>对一组值进行聚合计算，得到单个聚合结果。</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td rowspan="5">Value Function</td>
+      <td>first_value</td>
+      <td>返回 frame 的第一个值，如果指定了 IGNORE NULLS 需要跳过前缀的 NULL</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td>last_value</td>
+      <td>返回 frame 的最后一个值，如果指定了 IGNORE NULLS 需要跳过后缀的 NULL</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td>nth_value</td>
+      <td>返回 frame 的第 n 个元素（注意 n 是从 1 开始），如果有 IGNORE NULLS 需要跳过 NULL</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td>lead</td>
+      <td>返回当前行的后 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>lag</td>
+      <td>返回当前行的前 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td rowspan="6">Rank Function</td>
+      <td>rank</td>
+      <td>返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间可能有 gap</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>dense_rank</td>
+      <td>返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间没有 gap</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>row_number</td>
+      <td>返回当前行在整个 partition 中的行号，注意行号从 1 开始</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>percent_rank</td>
+      <td>以百分比的形式，返回当前行的值在整个 partition 中的序号；即 (rank() - 1) / (n - 1)，其中 n 是整个 partition 的行数</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>cume_dist</td>
+      <td>以百分比的形式，返回当前行的值在整个 partition 中的序号；即 (小于等于它的行数） / n </td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>ntile</td>
+      <td>指定 n，给每一行进行 1～n 的编号。</td>
+      <td>否</td>
+    </tr>
+  </tbody>
+</table>
+
+#### 2.3.1 Aggregate Function
+
+所有内置聚合函数，如 `sum()`、`avg()`、`min()`、`max()` 都能当作 Window Function 使用。
+
+> 注意：与 GROUP BY 不同，Window Function 中每一行都有相应的输出
+
+示例：
+
+```SQL
+IoTDB> SELECT *, sum(flow) OVER (PARTITION BY device ORDER BY flow) as sum FROM device_flow;
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.2 Value Function
+1. `first_value`
+
+* 函数名：`first_value(value) [IGNORE NULLS]`
+* 定义：返回 frame 的第一个值，如果指定了 IGNORE NULLS 需要跳过前缀的 NULL；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, first_value(flow) OVER w as first_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+-----------+
+|                         time|device|flow|first_value|
++-----------------------------+------+----+-----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|          2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|          2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|          1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|          1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|          3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|          3|
++-----------------------------+------+----+-----------+
+```
+
+2. `last_value`
+
+* 函数名：`last_value(value) [IGNORE NULLS]`
+* 定义：返回 frame 的最后一个值，如果指定了 IGNORE NULLS 需要跳过后缀的 NULL；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, last_value(flow) OVER w as last_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|last_value|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+3. `nth_value`
+
+* 函数名：`nth_value(value, n) [IGNORE NULLS]`
+* 定义：返回 frame 的第 n 个元素（注意 n 是从 1 开始），如果有 IGNORE NULLS 需要跳过 NULL；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, nth_value(flow, 2) OVER w as nth_values FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|nth_values|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+4. lead
+
+* 函数名：`lead(value[, offset[, default]]) [IGNORE NULLS]`
+* 定义：返回当前行的后 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default；offset 的默认值为 1，default 的默认值为 NULL。
+* lead 函数需要需要一个 ORDER BY 窗口子句
+* 示例：
+
+```SQL
+IoTDB> SELECT *, lead(flow) OVER w as lead FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY time);
++-----------------------------+------+----+----+
+|                         time|device|flow|lead|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|null|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   1|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|null|
++-----------------------------+------+----+----+
+```
+
+5. lag
+
+* 函数名：`lag(value[, offset[, default]]) [IGNORE NULLS]`
+* 定义：返回当前行的前 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default；offset 的默认值为 1，default 的默认值为 NULL。
+* lag 函数需要需要一个 ORDER BY 窗口子句
+* 示例：
+
+```SQL
+IoTDB> SELECT *, lag(flow) OVER w as lag FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY device);
++-----------------------------+------+----+----+
+|                         time|device|flow| lag|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|null|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|null|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   3|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.3 Rank Function
+1. rank
+
+* 函数名：`rank()`
+* 定义：返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间可能有 gap；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, rank() OVER w as rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+2. dense\_rank
+
+* 函数名：`dense_rank()`
+* 定义：返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间没有 gap。
+* 示例：
+
+```SQL
+IoTDB> SELECT *, dense_rank() OVER w as dense_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|dense_rank|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         3|
++-----------------------------+------+----+----------+
+```
+
+3. row\_number
+
+* 函数名：`row_number()`
+* 定义：返回当前行在整个 partition 中的行号，注意行号从 1 开始；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, row_number() OVER w as row_number FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|row_number|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         4|
++-----------------------------+------+----+----------+
+```
+
+4. percent\_rank
+
+* 函数名：`percent_rank()`
+* 定义：以百分比的形式，返回当前行的值在整个 partition 中的序号；即 **(rank() - 1) / (n - 1)**，其中 n 是整个 partition 的行数；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, percent_rank() OVER w as percent_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+------------------+
+|                         time|device|flow|      percent_rank|
++-----------------------------+------+----+------------------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|               0.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|               1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|               0.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|               1.0|
++-----------------------------+------+----+------------------+
+```
+
+5. cume\_dist
+
+* 函数名：cume\_dist
+* 定义：以百分比的形式，返回当前行的值在整个 partition 中的序号；即 **(小于等于它的行数） / n**。
+* 示例：
+
+```SQL
+IoTDB> SELECT *, cume_dist() OVER w as cume_dist FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+---------+
+|                         time|device|flow|cume_dist|
++-----------------------------+------+----+---------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|      0.5|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|      1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|     0.25|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|      1.0|
++-----------------------------+------+----+---------+
+```
+
+6. ntile
+
+* 函数名：ntile
+* 定义：指定 n，给每一行进行 1～n 的编号。
+    * 整个 partition 行数比 n 小，那么编号就是行号 index；
+    * 整个 partition 行数比 n 大：
+        * 如果行数能除尽 n，那么比较完美，比如行数为 4，n 为 2，那么编号为 1、1、2、2、；
+        * 如果行数不能除尽 n，那么就分给开头几组，比如行数为 5，n 为 3，那么编号为 1、1、2、2、3；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, ntile(2) OVER w as ntile FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+-----+
+|                         time|device|flow|ntile|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
++-----------------------------+------+----+-----+
+```
+
+### 2.4 场景示例
+1. 多设备 diff 函数
+
+对于每个设备的每一行，与前一行求差值：
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+对于每个设备的每一行，与后一行求差值：
+
+```SQL
+SELECT
+    *,
+    measurement - lead(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+对于单个设备的每一行，与前一行求差值（后一行同理）：
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (ORDER BY time)
+FROM data
+where device='d1'
+WHERE timeCondition;
+```
+
+2. 多设备 TOP\_K/BOTTOM\_K
+
+利用 rank 获取序号，然后在外部的查询中保留想要的顺序。
+
+（注意， window function 的执行顺序在 HAVING 子句之后，所以这里需要子查询）
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY time DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+除了按照时间排序之外，还可以按照测点的值进行排序：
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY measurement DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+3. 多设备 CHANGE\_POINTS
+
+这个 sql 用来去除输入序列中连续相同值，可以用 lead + 子查询实现：
+
+```SQL
+SELECT
+    time,
+    device,
+    measurement 
+FROM(
+    SELECT          
+        time,         
+        device,         
+        measurement,         
+        LEAD(measurement) OVER (PARTITION BY device ORDER BY time) AS next     
+    FROM data 
+    WHERE timeCondition
+)
+WHERE measurement != next OR next IS NULL;
+```
diff --git a/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md b/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md
index 7ef57fd32..e330555c8 100644
--- a/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md
+++ b/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions.md
@@ -1,3 +1,6 @@
+---
+redirectTo: Featured-Functions_apache.html
+---
 <!--
 
     Licensed to the Apache Software Foundation (ASF) under one
@@ -18,682 +21,3 @@
     under the License.
 
 -->
-
-# 特色函数
-
-## 1. 时序特色函数
-
-### 1.1 降采样函数
-
-#### 1.1.1 `date_bin` 函数
-
-##### 功能描述：
-
-`date_bin` 是一个标量函数，用于将时间戳规整到指定的时间区间起点，并结合 `GROUP BY` 子句实现降采样。
-
-- 部分区间结果为空：只会对满足条件的数据进行时间戳规整，不会填充缺失的时间区间。
-- 全部区间结果为空：：满足条件的整个查询范围内没有数据时，降采样返回空结果集
-
-##### 使用示例：
-
-###### 示例数据
-
-在[示例数据页面](../Reference/Sample-Data.md)中，包含了用于构建表结构和插入数据的SQL语句，下载并在IoTDB CLI中执行这些语句，即可将数据导入IoTDB，您可以使用这些数据来测试和执行示例中的SQL语句，并获得相应的结果。
-
-示例 1：获取设备** **`100`** **某个时间范围的每小时平均温度
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-结果：
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-示例 2：获取每个设备某个时间范围的每小时平均温度
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-GROUP BY 1, device_id;
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-29T11:00:00.000+08:00|      100|    null|
-|2024-11-29T18:00:00.000+08:00|      100|    90.0|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-29T10:00:00.000+08:00|      101|    85.0|
-|2024-11-27T16:00:00.000+08:00|      101|    85.0|
-+-----------------------------+---------+--------+
-```
-
-示例 3：获取所有设备某个时间范围的每小时平均温度
-
-```SQL
-SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
-  FROM table1
-  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
-  group by 1;  
-```
-
-结果：
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-29T10:00:00.000+08:00|    85.0|
-|2024-11-27T16:00:00.000+08:00|    85.0|
-|2024-11-29T11:00:00.000+08:00|    null|
-|2024-11-29T18:00:00.000+08:00|    90.0|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-+-----------------------------+--------+
-```
-
-#### 1.1.2 `date_bin_gapfill` 函数
-
-##### 功能描述
-
-`date_bin_gapfill` 是 `date_bin` 的扩展，能够填充缺失的时间区间，从而返回完整的时间序列。
-
-- 部分区间结果为空：对满足条件的数据进行时间戳规整，并填充缺失的时间区间。
-- 全部区间结果为空：：整个查询范围内没有数据时，`date_bin_gapfill`会返回空结果集
-
-##### 功能限制
-
-- **`date_bin_gapfill`** **必须与** **`GROUP BY`** **子句搭配使用**，如果用在其他子句中，不会报错，但不会执行 gapfill 功能，效果与使用 `date_bin` 相同。
-- **每个** **`GROUP BY`** **子句中只能使用一个** **`date_bin_gapfill`**。如果出现多个 `date_bin_gapfill`，会报错：multiple date_bin_gapfill calls not allowed
-- **`date_bin_gapfill`** **的执行顺序**：GAPFILL 功能发生在 `HAVING` 子句执行之后，`FILL` 子句执行之前。
-- **使用** **`date_bin_gapfill`** **时，****`WHERE`** **子句中的时间过滤条件必须是以下形式之一：**
-  - `time >= XXX AND time <= XXX`
-  - `time > XXX AND time < XXX`
-  - `time BETWEEN XXX AND XXX` 
-- **使用** **`date_bin_gapfill`** **时，如果出现其他时间过滤条件**，会报错。时间过滤条件与其他值过滤条件只能通过 `AND` 连接。
-- **如果不能从 where 子句中推断出 startTime 和 endTime，则报错**：could not infer startTime or endTime from WHERE clause。
-
-##### 使用示例
-
-示例 1：填充缺失时间区间
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
-FROM table1
-WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
-      AND device_id = '100'
-GROUP BY 1;
-```
-
-结果：
-
-```Plain
-+-----------------------------+--------+
-|                    hour_time|avg_temp|
-+-----------------------------+--------+
-|2024-11-28T07:00:00.000+08:00|    null|
-|2024-11-28T08:00:00.000+08:00|    85.0|
-|2024-11-28T09:00:00.000+08:00|    null|
-|2024-11-28T10:00:00.000+08:00|    85.0|
-|2024-11-28T11:00:00.000+08:00|    88.0|
-|2024-11-28T12:00:00.000+08:00|    null|
-|2024-11-28T13:00:00.000+08:00|    null|
-|2024-11-28T14:00:00.000+08:00|    null|
-|2024-11-28T15:00:00.000+08:00|    null|
-|2024-11-28T16:00:00.000+08:00|    null|
-+-----------------------------+--------+
-```
-
-示例 2：结合设备分组填充缺失时间区间
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
-GROUP BY 1, device_id;
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+--------+
-|                    hour_time|device_id|avg_temp|
-+-----------------------------+---------+--------+
-|2024-11-28T07:00:00.000+08:00|      100|    null|
-|2024-11-28T08:00:00.000+08:00|      100|    85.0|
-|2024-11-28T09:00:00.000+08:00|      100|    null|
-|2024-11-28T10:00:00.000+08:00|      100|    85.0|
-|2024-11-28T11:00:00.000+08:00|      100|    88.0|
-|2024-11-28T12:00:00.000+08:00|      100|    null|
-|2024-11-28T13:00:00.000+08:00|      100|    null|
-|2024-11-28T14:00:00.000+08:00|      100|    null|
-|2024-11-28T15:00:00.000+08:00|      100|    null|
-|2024-11-28T16:00:00.000+08:00|      100|    null|
-+-----------------------------+---------+--------+
-```
-
-示例 3：查询范围内没有数据返回空结果集
-
-```SQL
-SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
-FROM table1
-WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
-GROUP BY 1, device_id;
-```
-
-结果：
-
-```Plain
-+---------+---------+--------+
-|hour_time|device_id|avg_temp|
-+---------+---------+--------+
-+---------+---------+--------+
-```
-
-### 1.2 DIFF函数
-
-##### 功能概述
-
-`DIFF` 函数用于计算当前行与上一行的差值。对于第一行，由于没有前一行数据，因此永远返回 `NULL`。
-
-##### 函数定义
-
-```
-DIFF(numberic[, boolean]) -> Double
-```
-
-##### 参数说明
-
-- 第一个参数：数值类型
-
-    - **类型**：必须是数值类型（`INT32`、`INT64`、`FLOAT`、`DOUBLE`）
-    - **作用**：指定要计算差值的列。
-
-- 第二个参数：布尔类型（可选）
-    - **类型**：布尔类型（`true` 或 `false`）。
-    - **默认值**：`true`。
-    - **作用**：
-        - **`true`**：忽略 `NULL` 值，向前找到第一个非 `NULL` 值进行差值计算。如果前面没有非 `NULL` 值，则返回 `NULL`。
-        - **`false`**：不忽略 `NULL` 值，如果前一行为 `NULL`，则差值结果为 `NULL`。
-
-##### 注意事项
-
-- 在树模型中，第二个参数需要指定为 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，但在表模型中，只需指定为 `true` 或 `false`。
-- 如果用户写成 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，表模型会将其视为对两个字符串常量进行等号比较，返回布尔值，但结果总是 `false`，等价于指定第二个参数为 `false`。
-
-##### 使用示例
-
-示例 1：忽略 `NULL` 值
-
-```SQL
-SELECT time, DIFF(temperature) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|      0.0|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-示例 2：不忽略 `NULL` 值
-
-```SQL
-SELECT time, DIFF(temperature, false) AS diff_temp
-FROM table1
-WHERE device_id = '100';
-```
-
-结果：
-
-```Plain
-+-----------------------------+---------+
-|                         time|diff_temp|
-+-----------------------------+---------+
-|2024-11-29T11:00:00.000+08:00|     null|
-|2024-11-29T18:30:00.000+08:00|     null|
-|2024-11-28T08:00:00.000+08:00|     -5.0|
-|2024-11-28T09:00:00.000+08:00|     null|
-|2024-11-28T10:00:00.000+08:00|     null|
-|2024-11-28T11:00:00.000+08:00|      3.0|
-|2024-11-26T13:37:00.000+08:00|      2.0|
-|2024-11-26T13:38:00.000+08:00|      0.0|
-+-----------------------------+---------+
-```
-
-示例 3：完整示例
-
-```SQL
-SELECT time, temperature, 
-       DIFF(temperature) AS diff_temp_1,
-       DIFF(temperature, false) AS diff_temp_2
-FROM table1 
-WHERE device_id = '100';
-```
-
-结果：
-
-```Plain
-+-----------------------------+-----------+-----------+-----------+
-|                         time|temperature|diff_temp_1|diff_temp_2|
-+-----------------------------+-----------+-----------+-----------+
-|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
-|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
-|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
-|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
-|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
-|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
-|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
-|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
-+-----------------------------+-----------+-----------+-----------+
-```
-
-### 1.3 时序分窗函数
-
-原始示例数据如下：
-
-```SQL
-IoTDB> SELECT * FROM bid;
-+-----------------------------+--------+-----+
-|                         time|stock_id|price|
-+-----------------------------+--------+-----+
-|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+--------+-----+
-
--- 创建语句
-CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
--- 插入数据
-INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
-```
-
-#### 1.3.1 HOP
-
-##### 功能描述
-
-HOP 函数用于按时间分段分窗分析，识别每一行数据所属的时间窗口。该函数通过指定固定窗口大小（size）和窗口滑动步长（SLIDE），将数据按时间戳分配到所有与其时间戳重叠的窗口中。若窗口之间存在重叠（步长 < 窗口大小），数据会自动复制到多个窗口。
-
-##### 函数定义
-
-```SQL
-HOP(data, timecol, size, slide[, origin])
-```
-
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                        | 描述               |
-| --------- | ---------- | --------------------------------- | -------------------- |
-| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
-| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
-| SIZE    | 标量参数 | 长整数类型                      | 窗口大小           |
-| SLIDE   | 标量参数 | 长整数类型                      | 窗口滑动步长       |
-| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
-
-##### 返回结果
-
-HOP 函数的返回结果列包含：
-
-* window\_start: 窗口开始时间（闭区间）
-* window\_end: 窗口结束时间（开区间）
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```SQL
-IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-#### 1.3.2 SESSION
-
-##### 功能描述
-
-SESSION 函数用于按会话间隔对数据进行分窗。系统逐行检查与前一行的时间间隔，小于阈值（GAP）则归入当前窗口，超过则归入下一个窗口。
-
-##### 函数定义
-
-```SQL
-SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
-```
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                 | 描述                                   |
-| --------- | ---------- | -------------------------- | ---------------------------------------- |
-| DATA    | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
-| TIMECOL | 标量参数 | 字符串类型默认值：'time' | 时间列名
-|
-| GAP     | 标量参数 | 长整数类型               | 会话间隔阈值                           |
-
-##### 返回结果
-
-SESSION 函数的返回结果列包含：
-
-* window\_start: 会话窗口内的第一条数据的时间
-* window\_end: 会话窗口内的最后一条数据的时间
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```SQL
-IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY SESSION
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-#### 1.3.3 VARIATION
-
-##### 功能描述
-
-VARIATION 函数用于按数据差值分窗，将第一条数据作为首个窗口的基准值，每个数据点会与基准值进行差值运算，如果差值小于给定的阈值（delta）则加入当前窗口；如果超过阈值，则分为下一个窗口，将该值作为下一个窗口的基准值。
-
-##### 函数定义
-
-```sql
-VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
-```
-
-##### 参数说明
-
-| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
-| -------- | ---------- | -------------------------- | ---------------------------------------- |
-| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
-| COL    | 标量参数 | 字符串类型               | 标识对哪一列计算差值                   |
-| DELTA  | 标量参数 | 浮点数类型               | 差值阈值                               |
-
-##### 返回结果
-
-VARIATION 函数的返回结果列包含：
-
-* window\_index: 窗口编号
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```sql
-IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY VARIATION
-IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-#### 1.3.4 CAPACITY
-
-##### 功能描述
-
-CAPACITY 函数用于按数据点数（行数）分窗，每个窗口最多有 SIZE 行数据。
-
-##### 函数定义
-
-```sql
-CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
-```
-
-##### 参数说明
-
-| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
-| -------- | ---------- | -------------------------- | ---------------------------------------- |
-| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
-| SIZE   | 标量参数 | 长整数类型               | 窗口大小                               |
-
-##### 返回结果
-
-CAPACITY 函数的返回结果列包含：
-
-* window\_index: 窗口编号
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```sql
-IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
-+------------+-----------------------------+--------+-----+
-|window_index|                         time|stock_id|price|
-+------------+-----------------------------+--------+-----+
-|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY COUNT
-IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
-+-----------------------------+-----------------------------+--------+-----+
-|                   start_time|                     end_time|stock_id|  avg|
-+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
-|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
-|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+--------+-----+
-```
-
-#### 1.3.5 TUMBLE
-
-##### 功能描述
-
-TUMBLE 函数用于通过时间属性字段为每行数据分配一个窗口，滚动窗口的大小固定且不重复。
-
-##### 函数定义
-
-```sql
-TUMBLE(data, timecol, size[, origin])
-```
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                        | 描述               |
-| --------- | ---------- | --------------------------------- | -------------------- |
-| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
-| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
-| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，需为正数 |
-| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
-
-##### 返回结果
-
-TUBMLE 函数的返回结果列包含：
-
-* window\_start: 窗口开始时间（闭区间）
-* window\_end: 窗口结束时间（开区间）
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```SQL
-IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
-
-#### 1.3.6 CUMULATE
-
-##### 功能描述
-
-Cumulate 函数用于从初始的窗口开始，创建相同窗口开始但窗口结束步长不同的窗口，直到达到最大的窗口大小。每个窗口包含其区间内的元素。例如：1小时步长，24小时大小的累计窗口，每天可以获得如下这些窗口：`[00:00, 01:00)`，`[00:00, 02:00)`，`[00:00, 03:00)`， …， `[00:00, 24:00)`
-
-##### 函数定义
-
-```sql
-CUMULATE(data, timecol, size, step[, origin])
-```
-
-##### 参数说明
-
-| 参数名  | 参数类型 | 参数属性                        | 描述                                       |
-| --------- | ---------- | --------------------------------- | -------------------------------------------- |
-| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表                                     |
-| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列                                     |
-| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，SIZE必须是STEP的整数倍，需为正数 |
-| STEP    | 标量参数 | 长整数类型                      | 窗口步长，需为正数                         |
-| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间                         |
-
-> 注意：size 如果不是 step 的整数倍，则会报错`Cumulative table function requires size must be an integral multiple of step`
-
-##### 返回结果
-
-CUMULATE函数的返回结果列包含：
-
-* window\_start: 窗口开始时间（闭区间）
-* window\_end: 窗口结束时间（开区间）
-* 映射列：DATA 参数的所有输入列
-
-##### 使用示例
-
-```sql
-IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|                 window_start|                   window_end|                         time|stock_id|price|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
-+-----------------------------+-----------------------------+-----------------------------+--------+-----+
-
--- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
-IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
-+-----------------------------+-----------------------------+--------+------------------+
-|                 window_start|                   window_end|stock_id|               avg|
-+-----------------------------+-----------------------------+--------+------------------+
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
-|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
-+-----------------------------+-----------------------------+--------+------------------+
-```
diff --git a/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md b/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md
new file mode 100644
index 000000000..ce343bd9a
--- /dev/null
+++ b/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_apache.md
@@ -0,0 +1,699 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+
+# 特色函数
+
+## 1. 时序特色函数
+
+### 1.1 降采样函数
+
+#### 1.1.1 `date_bin` 函数
+
+##### 功能描述：
+
+`date_bin` 是一个标量函数，用于将时间戳规整到指定的时间区间起点，并结合 `GROUP BY` 子句实现降采样。
+
+- 部分区间结果为空：只会对满足条件的数据进行时间戳规整，不会填充缺失的时间区间。
+- 全部区间结果为空：：满足条件的整个查询范围内没有数据时，降采样返回空结果集
+
+##### 使用示例：
+
+###### 示例数据
+
+在[示例数据页面](../Reference/Sample-Data.md)中，包含了用于构建表结构和插入数据的SQL语句，下载并在IoTDB CLI中执行这些语句，即可将数据导入IoTDB，您可以使用这些数据来测试和执行示例中的SQL语句，并获得相应的结果。
+
+示例 1：获取设备** **`100`** **某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+示例 2：获取每个设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+示例 3：获取所有设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+#### 1.1.2 `date_bin_gapfill` 函数
+
+##### 功能描述
+
+`date_bin_gapfill` 是 `date_bin` 的扩展，能够填充缺失的时间区间，从而返回完整的时间序列。
+
+- 部分区间结果为空：对满足条件的数据进行时间戳规整，并填充缺失的时间区间。
+- 全部区间结果为空：：整个查询范围内没有数据时，`date_bin_gapfill`会返回空结果集
+
+##### 功能限制
+
+- **`date_bin_gapfill`** **必须与** **`GROUP BY`** **子句搭配使用**，如果用在其他子句中，不会报错，但不会执行 gapfill 功能，效果与使用 `date_bin` 相同。
+- **每个** **`GROUP BY`** **子句中只能使用一个** **`date_bin_gapfill`**。如果出现多个 `date_bin_gapfill`，会报错：multiple date_bin_gapfill calls not allowed
+- **`date_bin_gapfill`** **的执行顺序**：GAPFILL 功能发生在 `HAVING` 子句执行之后，`FILL` 子句执行之前。
+- **使用** **`date_bin_gapfill`** **时，****`WHERE`** **子句中的时间过滤条件必须是以下形式之一：**
+    - `time >= XXX AND time <= XXX`
+    - `time > XXX AND time < XXX`
+    - `time BETWEEN XXX AND XXX`
+- **使用** **`date_bin_gapfill`** **时，如果出现其他时间过滤条件**，会报错。时间过滤条件与其他值过滤条件只能通过 `AND` 连接。
+- **如果不能从 where 子句中推断出 startTime 和 endTime，则报错**：could not infer startTime or endTime from WHERE clause。
+
+##### 使用示例
+
+示例 1：填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+示例 2：结合设备分组填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+示例 3：查询范围内没有数据返回空结果集
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+### 1.2 DIFF函数
+
+##### 功能概述
+
+`DIFF` 函数用于计算当前行与上一行的差值。对于第一行，由于没有前一行数据，因此永远返回 `NULL`。
+
+##### 函数定义
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+##### 参数说明
+
+- 第一个参数：数值类型
+
+    - **类型**：必须是数值类型（`INT32`、`INT64`、`FLOAT`、`DOUBLE`）
+    - **作用**：指定要计算差值的列。
+
+- 第二个参数：布尔类型（可选）
+    - **类型**：布尔类型（`true` 或 `false`）。
+    - **默认值**：`true`。
+    - **作用**：
+        - **`true`**：忽略 `NULL` 值，向前找到第一个非 `NULL` 值进行差值计算。如果前面没有非 `NULL` 值，则返回 `NULL`。
+        - **`false`**：不忽略 `NULL` 值，如果前一行为 `NULL`，则差值结果为 `NULL`。
+
+##### 注意事项
+
+- 在树模型中，第二个参数需要指定为 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，但在表模型中，只需指定为 `true` 或 `false`。
+- 如果用户写成 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，表模型会将其视为对两个字符串常量进行等号比较，返回布尔值，但结果总是 `false`，等价于指定第二个参数为 `false`。
+
+##### 使用示例
+
+示例 1：忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 2：不忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 3：完整示例
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+### 1.3 时序分窗函数
+
+原始示例数据如下：
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- 创建语句
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- 插入数据
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+#### 1.3.1 HOP
+
+##### 功能描述
+
+HOP 函数用于按时间分段分窗分析，识别每一行数据所属的时间窗口。该函数通过指定固定窗口大小（size）和窗口滑动步长（SLIDE），将数据按时间戳分配到所有与其时间戳重叠的窗口中。若窗口之间存在重叠（步长 < 窗口大小），数据会自动复制到多个窗口。
+
+##### 函数定义
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小           |
+| SLIDE   | 标量参数 | 长整数类型                      | 窗口滑动步长       |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+HOP 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.2 SESSION
+
+##### 功能描述
+
+SESSION 函数用于按会话间隔对数据进行分窗。系统逐行检查与前一行的时间间隔，小于阈值（GAP）则归入当前窗口，超过则归入下一个窗口。
+
+##### 函数定义
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                 | 描述                                   |
+| --------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA    | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| TIMECOL | 标量参数 | 字符串类型默认值：'time' | 时间列名
+|
+| GAP     | 标量参数 | 长整数类型               | 会话间隔阈值                           |
+
+##### 返回结果
+
+SESSION 函数的返回结果列包含：
+
+* window\_start: 会话窗口内的第一条数据的时间
+* window\_end: 会话窗口内的最后一条数据的时间
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY SESSION
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.3 VARIATION
+
+##### 功能描述
+
+VARIATION 函数用于按数据差值分窗，将第一条数据作为首个窗口的基准值，每个数据点会与基准值进行差值运算，如果差值小于给定的阈值（delta）则加入当前窗口；如果超过阈值，则分为下一个窗口，将该值作为下一个窗口的基准值。
+
+##### 函数定义
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| COL    | 标量参数 | 字符串类型               | 标识对哪一列计算差值                   |
+| DELTA  | 标量参数 | 浮点数类型               | 差值阈值                               |
+
+##### 返回结果
+
+VARIATION 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY VARIATION
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.4 CAPACITY
+
+##### 功能描述
+
+CAPACITY 函数用于按数据点数（行数）分窗，每个窗口最多有 SIZE 行数据。
+
+##### 函数定义
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| SIZE   | 标量参数 | 长整数类型               | 窗口大小                               |
+
+##### 返回结果
+
+CAPACITY 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY COUNT
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.5 TUMBLE
+
+##### 功能描述
+
+TUMBLE 函数用于通过时间属性字段为每行数据分配一个窗口，滚动窗口的大小固定且不重复。
+
+##### 函数定义
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，需为正数 |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+TUBMLE 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.6 CUMULATE
+
+##### 功能描述
+
+Cumulate 函数用于从初始的窗口开始，创建相同窗口开始但窗口结束步长不同的窗口，直到达到最大的窗口大小。每个窗口包含其区间内的元素。例如：1小时步长，24小时大小的累计窗口，每天可以获得如下这些窗口：`[00:00, 01:00)`，`[00:00, 02:00)`，`[00:00, 03:00)`， …， `[00:00, 24:00)`
+
+##### 函数定义
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述                                       |
+| --------- | ---------- | --------------------------------- | -------------------------------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表                                     |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列                                     |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，SIZE必须是STEP的整数倍，需为正数 |
+| STEP    | 标量参数 | 长整数类型                      | 窗口步长，需为正数                         |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间                         |
+
+> 注意：size 如果不是 step 的整数倍，则会报错`Cumulative table function requires size must be an integral multiple of step`
+
+##### 返回结果
+
+CUMULATE函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
diff --git a/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md b/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
new file mode 100644
index 000000000..89277bd3b
--- /dev/null
+++ b/src/zh/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
@@ -0,0 +1,1431 @@
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one
+    or more contributor license agreements.  See the NOTICE file
+    distributed with this work for additional information
+    regarding copyright ownership.  The ASF licenses this file
+    to you under the Apache License, Version 2.0 (the
+    "License"); you may not use this file except in compliance
+    with the License.  You may obtain a copy of the License at
+    
+        http://www.apache.org/licenses/LICENSE-2.0
+    
+    Unless required by applicable law or agreed to in writing,
+    software distributed under the License is distributed on an
+    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+    KIND, either express or implied.  See the License for the
+    specific language governing permissions and limitations
+    under the License.
+
+-->
+
+# 特色函数
+
+## 1. 时序特色函数
+
+### 1.1 降采样函数
+
+#### 1.1.1 `date_bin` 函数
+
+##### 功能描述：
+
+`date_bin` 是一个标量函数，用于将时间戳规整到指定的时间区间起点，并结合 `GROUP BY` 子句实现降采样。
+
+- 部分区间结果为空：只会对满足条件的数据进行时间戳规整，不会填充缺失的时间区间。
+- 全部区间结果为空：：满足条件的整个查询范围内没有数据时，降采样返回空结果集
+
+##### 使用示例：
+
+###### 示例数据
+
+在[示例数据页面](../Reference/Sample-Data.md)中，包含了用于构建表结构和插入数据的SQL语句，下载并在IoTDB CLI中执行这些语句，即可将数据导入IoTDB，您可以使用这些数据来测试和执行示例中的SQL语句，并获得相应的结果。
+
+示例 1：获取设备** **`100`** **某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+示例 2：获取每个设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-29T11:00:00.000+08:00|      100|    null|
+|2024-11-29T18:00:00.000+08:00|      100|    90.0|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-29T10:00:00.000+08:00|      101|    85.0|
+|2024-11-27T16:00:00.000+08:00|      101|    85.0|
++-----------------------------+---------+--------+
+```
+
+示例 3：获取所有设备某个时间范围的每小时平均温度
+
+```SQL
+SELECT date_bin(1h, time) AS hour_time, avg(temperature) AS avg_temp
+  FROM table1
+  WHERE time >= 2024-11-27 00:00:00  AND time <= 2024-11-30 00:00:00
+  group by 1;  
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-29T10:00:00.000+08:00|    85.0|
+|2024-11-27T16:00:00.000+08:00|    85.0|
+|2024-11-29T11:00:00.000+08:00|    null|
+|2024-11-29T18:00:00.000+08:00|    90.0|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
++-----------------------------+--------+
+```
+
+#### 1.1.2 `date_bin_gapfill` 函数
+
+##### 功能描述
+
+`date_bin_gapfill` 是 `date_bin` 的扩展，能够填充缺失的时间区间，从而返回完整的时间序列。
+
+- 部分区间结果为空：对满足条件的数据进行时间戳规整，并填充缺失的时间区间。
+- 全部区间结果为空：：整个查询范围内没有数据时，`date_bin_gapfill`会返回空结果集
+
+##### 功能限制
+
+- **`date_bin_gapfill`** **必须与** **`GROUP BY`** **子句搭配使用**，如果用在其他子句中，不会报错，但不会执行 gapfill 功能，效果与使用 `date_bin` 相同。
+- **每个** **`GROUP BY`** **子句中只能使用一个** **`date_bin_gapfill`**。如果出现多个 `date_bin_gapfill`，会报错：multiple date_bin_gapfill calls not allowed
+- **`date_bin_gapfill`** **的执行顺序**：GAPFILL 功能发生在 `HAVING` 子句执行之后，`FILL` 子句执行之前。
+- **使用** **`date_bin_gapfill`** **时，****`WHERE`** **子句中的时间过滤条件必须是以下形式之一：**
+    - `time >= XXX AND time <= XXX`
+    - `time > XXX AND time < XXX`
+    - `time BETWEEN XXX AND XXX`
+- **使用** **`date_bin_gapfill`** **时，如果出现其他时间过滤条件**，会报错。时间过滤条件与其他值过滤条件只能通过 `AND` 连接。
+- **如果不能从 where 子句中推断出 startTime 和 endTime，则报错**：could not infer startTime or endTime from WHERE clause。
+
+##### 使用示例
+
+示例 1：填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, avg(temperature) AS avg_temp
+FROM table1
+WHERE (time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00)
+      AND device_id = '100'
+GROUP BY 1;
+```
+
+结果：
+
+```Plain
++-----------------------------+--------+
+|                    hour_time|avg_temp|
++-----------------------------+--------+
+|2024-11-28T07:00:00.000+08:00|    null|
+|2024-11-28T08:00:00.000+08:00|    85.0|
+|2024-11-28T09:00:00.000+08:00|    null|
+|2024-11-28T10:00:00.000+08:00|    85.0|
+|2024-11-28T11:00:00.000+08:00|    88.0|
+|2024-11-28T12:00:00.000+08:00|    null|
+|2024-11-28T13:00:00.000+08:00|    null|
+|2024-11-28T14:00:00.000+08:00|    null|
+|2024-11-28T15:00:00.000+08:00|    null|
+|2024-11-28T16:00:00.000+08:00|    null|
++-----------------------------+--------+
+```
+
+示例 2：结合设备分组填充缺失时间区间
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-28 07:00:00  AND time <= 2024-11-28 16:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+--------+
+|                    hour_time|device_id|avg_temp|
++-----------------------------+---------+--------+
+|2024-11-28T07:00:00.000+08:00|      100|    null|
+|2024-11-28T08:00:00.000+08:00|      100|    85.0|
+|2024-11-28T09:00:00.000+08:00|      100|    null|
+|2024-11-28T10:00:00.000+08:00|      100|    85.0|
+|2024-11-28T11:00:00.000+08:00|      100|    88.0|
+|2024-11-28T12:00:00.000+08:00|      100|    null|
+|2024-11-28T13:00:00.000+08:00|      100|    null|
+|2024-11-28T14:00:00.000+08:00|      100|    null|
+|2024-11-28T15:00:00.000+08:00|      100|    null|
+|2024-11-28T16:00:00.000+08:00|      100|    null|
++-----------------------------+---------+--------+
+```
+
+示例 3：查询范围内没有数据返回空结果集
+
+```SQL
+SELECT date_bin_gapfill(1h, time) AS hour_time, device_id, avg(temperature) AS avg_temp
+FROM table1
+WHERE time >= 2024-11-27 09:00:00  AND time <= 2024-11-27 14:00:00
+GROUP BY 1, device_id;
+```
+
+结果：
+
+```Plain
++---------+---------+--------+
+|hour_time|device_id|avg_temp|
++---------+---------+--------+
++---------+---------+--------+
+```
+
+### 1.2 DIFF函数
+
+##### 功能概述
+
+`DIFF` 函数用于计算当前行与上一行的差值。对于第一行，由于没有前一行数据，因此永远返回 `NULL`。
+
+##### 函数定义
+
+```
+DIFF(numberic[, boolean]) -> Double
+```
+
+##### 参数说明
+
+- 第一个参数：数值类型
+
+    - **类型**：必须是数值类型（`INT32`、`INT64`、`FLOAT`、`DOUBLE`）
+    - **作用**：指定要计算差值的列。
+
+- 第二个参数：布尔类型（可选）
+    - **类型**：布尔类型（`true` 或 `false`）。
+    - **默认值**：`true`。
+    - **作用**：
+        - **`true`**：忽略 `NULL` 值，向前找到第一个非 `NULL` 值进行差值计算。如果前面没有非 `NULL` 值，则返回 `NULL`。
+        - **`false`**：不忽略 `NULL` 值，如果前一行为 `NULL`，则差值结果为 `NULL`。
+
+##### 注意事项
+
+- 在树模型中，第二个参数需要指定为 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，但在表模型中，只需指定为 `true` 或 `false`。
+- 如果用户写成 `'ignoreNull'='true'` 或 `'ignoreNull'='false'`，表模型会将其视为对两个字符串常量进行等号比较，返回布尔值，但结果总是 `false`，等价于指定第二个参数为 `false`。
+
+##### 使用示例
+
+示例 1：忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|      0.0|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 2：不忽略 `NULL` 值
+
+```SQL
+SELECT time, DIFF(temperature, false) AS diff_temp
+FROM table1
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+---------+
+|                         time|diff_temp|
++-----------------------------+---------+
+|2024-11-29T11:00:00.000+08:00|     null|
+|2024-11-29T18:30:00.000+08:00|     null|
+|2024-11-28T08:00:00.000+08:00|     -5.0|
+|2024-11-28T09:00:00.000+08:00|     null|
+|2024-11-28T10:00:00.000+08:00|     null|
+|2024-11-28T11:00:00.000+08:00|      3.0|
+|2024-11-26T13:37:00.000+08:00|      2.0|
+|2024-11-26T13:38:00.000+08:00|      0.0|
++-----------------------------+---------+
+```
+
+示例 3：完整示例
+
+```SQL
+SELECT time, temperature, 
+       DIFF(temperature) AS diff_temp_1,
+       DIFF(temperature, false) AS diff_temp_2
+FROM table1 
+WHERE device_id = '100';
+```
+
+结果：
+
+```Plain
++-----------------------------+-----------+-----------+-----------+
+|                         time|temperature|diff_temp_1|diff_temp_2|
++-----------------------------+-----------+-----------+-----------+
+|2024-11-29T11:00:00.000+08:00|       null|       null|       null|
+|2024-11-29T18:30:00.000+08:00|       90.0|       null|       null|
+|2024-11-28T08:00:00.000+08:00|       85.0|       -5.0|       -5.0|
+|2024-11-28T09:00:00.000+08:00|       null|       null|       null|
+|2024-11-28T10:00:00.000+08:00|       85.0|        0.0|       null|
+|2024-11-28T11:00:00.000+08:00|       88.0|        3.0|        3.0|
+|2024-11-26T13:37:00.000+08:00|       90.0|        2.0|        2.0|
+|2024-11-26T13:38:00.000+08:00|       90.0|        0.0|        0.0|
++-----------------------------+-----------+-----------+-----------+
+```
+
+### 1.3 时序分窗函数
+
+原始示例数据如下：
+
+```SQL
+IoTDB> SELECT * FROM bid;
++-----------------------------+--------+-----+
+|                         time|stock_id|price|
++-----------------------------+--------+-----+
+|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+--------+-----+
+
+-- 创建语句
+CREATE TABLE bid(time TIMESTAMP TIME, stock_id STRING TAG, price FLOAT FIELD);
+-- 插入数据
+INSERT INTO bid(time, stock_id, price) VALUES('2021-01-01T09:05:00','AAPL',100.0),('2021-01-01T09:06:00','TESL',200.0),('2021-01-01T09:07:00','AAPL',103.0),('2021-01-01T09:07:00','TESL',202.0),('2021-01-01T09:09:00','AAPL',102.0),('2021-01-01T09:15:00','TESL',195.0);
+```
+
+#### 1.3.1 HOP
+
+##### 功能描述
+
+HOP 函数用于按时间分段分窗分析，识别每一行数据所属的时间窗口。该函数通过指定固定窗口大小（size）和窗口滑动步长（SLIDE），将数据按时间戳分配到所有与其时间戳重叠的窗口中。若窗口之间存在重叠（步长 < 窗口大小），数据会自动复制到多个窗口。
+
+##### 函数定义
+
+```SQL
+HOP(data, timecol, size, slide[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小           |
+| SLIDE   | 标量参数 | 长整数类型                      | 窗口滑动步长       |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+HOP 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM HOP(DATA => bid,TIMECOL => 'time',SLIDE => 5m,SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:25:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:15:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.2 SESSION
+
+##### 功能描述
+
+SESSION 函数用于按会话间隔对数据进行分窗。系统逐行检查与前一行的时间间隔，小于阈值（GAP）则归入当前窗口，超过则归入下一个窗口。
+
+##### 函数定义
+
+```SQL
+SESSION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], timecol, gap)
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                 | 描述                                   |
+| --------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA    | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| TIMECOL | 标量参数 | 字符串类型默认值：'time' | 时间列名
+|
+| GAP     | 标量参数 | 长整数类型               | 会话间隔阈值                           |
+
+##### 返回结果
+
+SESSION 函数的返回结果列包含：
+
+* window\_start: 会话窗口内的第一条数据的时间
+* window\_end: 会话窗口内的最后一条数据的时间
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY SESSION
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM SESSION(DATA => bid PARTITION BY stock_id ORDER BY time,TIMECOL => 'time',GAP => 2m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.3 VARIATION
+
+##### 功能描述
+
+VARIATION 函数用于按数据差值分窗，将第一条数据作为首个窗口的基准值，每个数据点会与基准值进行差值运算，如果差值小于给定的阈值（delta）则加入当前窗口；如果超过阈值，则分为下一个窗口，将该值作为下一个窗口的基准值。
+
+##### 函数定义
+
+```sql
+VARIATION(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], col, delta)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| COL    | 标量参数 | 字符串类型               | 标识对哪一列计算差值                   |
+| DELTA  | 标量参数 | 浮点数类型               | 差值阈值                               |
+
+##### 返回结果
+
+VARIATION 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price',DELTA => 2.0);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           1|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY VARIATION
+IoTDB> SELECT first(time) as window_start, last(time) as window_end, stock_id, avg(price) as avg FROM VARIATION(DATA => bid PARTITION BY stock_id ORDER BY time,COL => 'price', DELTA => 2.0) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:07:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.5|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.4 CAPACITY
+
+##### 功能描述
+
+CAPACITY 函数用于按数据点数（行数）分窗，每个窗口最多有 SIZE 行数据。
+
+##### 函数定义
+
+```sql
+CAPACITY(data [PARTITION BY(pkeys, ...)] [ORDER BY(okeys, ...)], size)
+```
+
+##### 参数说明
+
+| 参数名 | 参数类型 | 参数属性                 | 描述                                   |
+| -------- | ---------- | -------------------------- | ---------------------------------------- |
+| DATA   | 表参数   | SET SEMANTICPASS THROUGH | 输入表通过 pkeys、okeys 指定分区和排序 |
+| SIZE   | 标量参数 | 长整数类型               | 窗口大小                               |
+
+##### 返回结果
+
+CAPACITY 函数的返回结果列包含：
+
+* window\_index: 窗口编号
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2);
++------------+-----------------------------+--------+-----+
+|window_index|                         time|stock_id|price|
++------------+-----------------------------+--------+-----+
+|           0|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|           0|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|           1|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|           0|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|           0|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|           1|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY COUNT
+IoTDB> SELECT first(time) as start_time, last(time) as end_time, stock_id, avg(price) as avg FROM CAPACITY(DATA => bid PARTITION BY stock_id ORDER BY time, SIZE => 2) GROUP BY window_index, stock_id;
++-----------------------------+-----------------------------+--------+-----+
+|                   start_time|                     end_time|stock_id|  avg|
++-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:06:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|201.0|
+|2021-01-01T09:15:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:05:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|101.5|
+|2021-01-01T09:09:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+--------+-----+
+```
+
+#### 1.3.5 TUMBLE
+
+##### 功能描述
+
+TUMBLE 函数用于通过时间属性字段为每行数据分配一个窗口，滚动窗口的大小固定且不重复。
+
+##### 函数定义
+
+```sql
+TUMBLE(data, timecol, size[, origin])
+```
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述               |
+| --------- | ---------- | --------------------------------- | -------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表             |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列             |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，需为正数 |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间 |
+
+##### 返回结果
+
+TUBMLE 函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```SQL
+IoTDB> SELECT * FROM TUMBLE( DATA => bid, TIMECOL => 'time', SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM TUMBLE(DATA => bid, TIMECOL => 'time', SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+#### 1.3.6 CUMULATE
+
+##### 功能描述
+
+Cumulate 函数用于从初始的窗口开始，创建相同窗口开始但窗口结束步长不同的窗口，直到达到最大的窗口大小。每个窗口包含其区间内的元素。例如：1小时步长，24小时大小的累计窗口，每天可以获得如下这些窗口：`[00:00, 01:00)`，`[00:00, 02:00)`，`[00:00, 03:00)`， …， `[00:00, 24:00)`
+
+##### 函数定义
+
+```sql
+CUMULATE(data, timecol, size, step[, origin])
+```
+
+##### 参数说明
+
+| 参数名  | 参数类型 | 参数属性                        | 描述                                       |
+| --------- | ---------- | --------------------------------- | -------------------------------------------- |
+| DATA    | 表参数   | ROW SEMANTICPASS THROUGH        | 输入表                                     |
+| TIMECOL | 标量参数 | 字符串类型默认值：time          | 时间列                                     |
+| SIZE    | 标量参数 | 长整数类型                      | 窗口大小，SIZE必须是STEP的整数倍，需为正数 |
+| STEP    | 标量参数 | 长整数类型                      | 窗口步长，需为正数                         |
+| ORIGIN  | 标量参数 | 时间戳类型默认值：Unix 纪元时间 | 第一个窗口起始时间                         |
+
+> 注意：size 如果不是 step 的整数倍，则会报错`Cumulative table function requires size must be an integral multiple of step`
+
+##### 返回结果
+
+CUMULATE函数的返回结果列包含：
+
+* window\_start: 窗口开始时间（闭区间）
+* window\_end: 窗口结束时间（开区间）
+* 映射列：DATA 参数的所有输入列
+
+##### 使用示例
+
+```sql
+IoTDB> SELECT * FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m,SIZE => 10m);
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|                 window_start|                   window_end|                         time|stock_id|price|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:06:00.000+08:00|    TESL|200.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    TESL|202.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|2021-01-01T09:15:00.000+08:00|    TESL|195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:05:00.000+08:00|    AAPL|100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:07:00.000+08:00|    AAPL|103.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|2021-01-01T09:09:00.000+08:00|    AAPL|102.0|
++-----------------------------+-----------------------------+-----------------------------+--------+-----+
+
+-- 结合 GROUP BY 语句，等效于树模型的 GROUP BY TIME
+IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULATE(DATA => bid,TIMECOL => 'time',STEP => 2m, SIZE => 10m) GROUP BY window_start, window_end, stock_id;
++-----------------------------+-----------------------------+--------+------------------+
+|                 window_start|                   window_end|stock_id|               avg|
++-----------------------------+-----------------------------+--------+------------------+
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    TESL|             201.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:16:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:18:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:10:00.000+08:00|2021-01-01T09:20:00.000+08:00|    TESL|             195.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:06:00.000+08:00|    AAPL|             100.0|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:08:00.000+08:00|    AAPL|             101.5|
+|2021-01-01T09:00:00.000+08:00|2021-01-01T09:10:00.000+08:00|    AAPL|101.66666666666667|
++-----------------------------+-----------------------------+--------+------------------+
+```
+
+## 2. 窗口函数
+
+### 2.1 功能介绍
+
+IoTDB 支持的窗口函数（Window Function） 是一种基于与当前行相关的特定行集合（称为“窗口”） 对每一行进行计算的特殊函数。它将分组操作（`PARTITION BY`）、排序（`ORDER BY`）与可定义的计算范围（窗口框架 `FRAME`）结合，在不折叠原始数据行的前提下实现复杂的跨行计算。常用于数据分析场景，比如排名、累计和、移动平均等操作。
+
+> 注意：该功能从 V 2.0.5 版本开始提供。
+
+例如，某场景下需要查询不同设备的功耗累加值，即可通过窗口函数来实现。
+
+```SQL
+-- 原始数据
++-----------------------------+------+-----+
+|                         time|device| flow|
++-----------------------------+------+-----+
+|1970-01-01T08:00:00.000+08:00|    d0|    3|
+|1970-01-01T08:00:00.001+08:00|    d0|    5|
+|1970-01-01T08:00:00.002+08:00|    d0|    3|
+|1970-01-01T08:00:00.003+08:00|    d0|    1|
+|1970-01-01T08:00:00.004+08:00|    d1|    2|
+|1970-01-01T08:00:00.005+08:00|    d1|    4|
++-----------------------------+------+-----+
+
+-- 创建表并插入数据
+CREATE TABLE device_flow(device String tag,  flow INT32 FIELD);
+insert into device_flow(time, device ,flow ) values ('1970-01-01T08:00:00.000+08:00','d0',3),('1970-01-01T08:00:01.000+08:00','d0',5),('1970-01-01T08:00:02.000+08:00','d0',3),('1970-01-01T08:00:03.000+08:00','d0',1),('1970-01-01T08:00:04.000+08:00','d1',2),('1970-01-01T08:00:05.000+08:00','d1',4);
+
+
+--执行窗口函数查询
+SELECT *, sum(flow) ​OVER(PARTITION​ ​BY​ device ​ORDER​ ​BY​ flow) ​as​ sum ​FROM device_flow;
+```
+
+经过分组、排序、计算（步骤拆解如下图所示），
+
+![](/img/window-function-1.png)
+
+即可得到期望结果：
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+### 2.2 功能定义
+#### 2.2.1 SQL 定义
+
+```SQL
+windowDefinition
+    : name=identifier AS '(' windowSpecification ')'
+    ;
+
+windowSpecification
+    : (existingWindowName=identifier)?
+      (PARTITION BY partition+=expression (',' partition+=expression)*)?
+      (ORDER BY sortItem (',' sortItem)*)?
+      windowFrame?
+    ;
+
+windowFrame
+    : frameExtent
+    ;
+
+frameExtent
+    : frameType=RANGE start=frameBound
+    | frameType=ROWS start=frameBound
+    | frameType=GROUPS start=frameBound
+    | frameType=RANGE BETWEEN start=frameBound AND end=frameBound
+    | frameType=ROWS BETWEEN start=frameBound AND end=frameBound
+    | frameType=GROUPS BETWEEN start=frameBound AND end=frameBound
+    ;
+
+frameBound
+    : UNBOUNDED boundType=PRECEDING                 #unboundedFrame
+    | UNBOUNDED boundType=FOLLOWING                 #unboundedFrame
+    | CURRENT ROW                                   #currentRowBound
+    | expression boundType=(PRECEDING | FOLLOWING)  #boundedFrame
+    ;
+```
+
+#### 2.2.2 窗口定义
+##### Partition
+
+`PARTITION BY` 用于将数据分为多个独立、不相关的「组」，窗口函数只能访问并操作其所属分组内的数据，无法访问其它分组。该子句是可选的；如果未显式指定，则默认将所有数据分到同一组。值得注意的是，与 `GROUP BY` 通过聚合函数将一组数据规约成一行不同，`PARTITION BY` 的窗口函数**并不会影响组内的行数。**
+
+* 示例
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER (PARTITION BY device) as count FROM device_flow;
+```
+
+拆解步骤：
+
+![](/img/window-function-2.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    4|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    4|
++-----------------------------+------+----+-----+
+```
+
+##### Ordering
+
+`ORDER BY` 用于对 partition 内的数据进行排序。排序后，相等的行被称为 peers。peers 会影响窗口函数的行为，例如不同 rank function 对 peers 的处理不同；不同 frame 的划分方式对于 peers 的处理也不同。该子句是可选的。
+
+* 示例
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, rank() OVER (PARTITION BY device ORDER BY flow) as rank FROM device_flow;
+```
+
+拆解步骤：
+
+![](/img/window-function-3.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+##### Framing
+
+对于 partition 中的每一行，窗口函数都会在相应的一组行上求值，这些行称为 Frame（即 Window Function 在每一行上的输入域）。Frame 可以手动指定，指定时涉及两个属性，具体说明如下。
+
+<table style="text-align: left;">
+    <tbody>
+    <tr>
+        <th>Frame 属性</th>
+        <th>属性值</th>
+        <th>值描述</th>
+    </tr>
+    <tr>
+        <td rowspan="3">类型</td>
+        <td>ROWS</td>
+        <td>通过行号来划分 frame</td>
+    </tr>
+    <tr>
+        <td>GROUPS</td>
+        <td>通过 peers 来划分 frame，即值相同的行视为同等的存在。peers 中所有的行分为一个组，叫做 peer group</td>
+    </tr>
+    <tr>
+        <td>RANGE</td>
+        <td>通过值来划分 frame</td>
+    </tr>
+    <tr>
+        <td rowspan="5">起始和终止位置</td>
+        <td>UNBOUNDED PRECEDING</td>
+        <td>整个 partition 的第一行</td>
+    </tr>
+    <tr>
+        <td>offset PRECEDING</td>
+        <td>代表前面和当前行「距离」为 offset 的行</td>
+    </tr>
+    <tr>
+        <td>CURRENT ROW</td>
+        <td>当前行</td>
+    </tr>
+    <tr>
+        <td>offset FOLLOWING</td>
+        <td>代表后面和当前行「距离」为 offset 的行</td>
+    </tr>
+    <tr>
+        <td>UNBOUNDED FOLLOWING</td>
+        <td>整个 partition 的最后一行</td>
+    </tr>
+    </tbody>
+</table>
+
+其中，`CURRENT ROW`、`PRECEDING N` 和 `FOLLOWING N` 的含义随着 frame 种类的不同而不同，如下表所示：
+
+|                    | `ROWS`     | `GROUPS`                                                                                                                     | `RANGE`                                                                                                        |
+|--------------------|------------|------------------------------------------------------------------------------------------------------------------------------|----------------------------------------------------------------------------------------------------------------|
+| `CURRENT ROW`      | 当前行        | 由于 peer group 包含多行，因此这个选项根据作用于 frame\_start 和 frame\_end 而不同：* frame\_start：peer group 的第一行；* frame\_end：peer group 的最后一行。  | 和 GROUPS 相同，根据作用于 frame\_start 和 frame\_end 而不同：* frame\_start：peer group 的第一行；* frame\_end：peer group 的最后一行。  |
+| `offset PRECEDING` | 前 offset 行 | 前 offset 个 peer group；                                                                                                       | 前面与当前行的值之差小于等于 offset 就分为一个 frame                                                                              |
+| `offset FOLLOWING` | 后 offset 行 | 后 offset 个 peer group。                                                                                                       | 后面与当前行的值之差小于等于 offset 就分为一个 frame                                                                              |
+
+语法格式如下：
+
+```SQL
+-- 同时指定 frame_start 和 frame_end
+{ RANGE | ROWS | GROUPS } BETWEEN frame_start AND frame_end
+-- 仅指定 frame_start，frame_end 为 CURRENT ROW
+{ RANGE | ROWS | GROUPS } frame_start
+```
+
+若未手动指定 Frame，Frame 的默认划分规则如下：
+
+* 当窗口函数使用 ORDER BY 时：默认 Frame 为 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW (即从窗口的第一行到当前行)。例如：RANK() OVER(PARTITION BY COL1 0RDER BY COL2) 中，Frame 默认包含分区内当前行及之前的所有行。
+* 当窗口函数不使用 ORDER BY 时：默认 Frame 为 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING (即整个窗口的所有行)。例如：AVG(COL2) OVER(PARTITION BY col1) 中，Frame 默认包含分区内的所有行，计算整个分区的平均值。
+
+需要注意的是，当 Frame 类型为 GROUPS 或 RANGE 时，需要指定 `ORDER BY`，区别在于 GROUPS 中的 ORDER BY 可以涉及多个字段，而 RANGE 需要计算，所以只能指定一个字段。
+
+* 示例
+
+1. Frame 类型为 ROWS
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ROWS 1 PRECEDING) as count FROM device_flow;
+```
+
+拆解步骤：
+
+* 取前一行和当前行作为 Frame
+    * 对于 partition 的第一行，由于没有前一行，所以整个 Frame 只有它一行，返回 1；
+    * 对于 partition 的其他行，整个 Frame 包含当前行和它的前一行，返回 2：
+
+![](/img/window-function-4.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    2|
++-----------------------------+------+----+-----+
+```
+
+2. Frame 类型为 GROUPS
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *, count(flow) OVER(PARTITION BY device ORDER BY flow GROUPS BETWEEN 1 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+拆解步骤：
+
+* 取前一个 peer group 和当前 peer group 作为 Frame，那么以 device 为 d0 的 partition 为例（d1同理），对于 count 行数：
+    * 对于 flow 为 1 的 peer group，由于它也没比它小的 peer group 了，所以整个 Frame 就它一行，返回 1；
+    * 对于 flow 为 3 的 peer group，它本身包含 2 行，前一个 peer group 就是 flow 为 1 的，就一行，因此整个 Frame 三行，返回 3；
+    * 对于 flow 为 5 的 peer group，它本身包含 1 行，前一个 peer group 就是 flow 为 3 的，共两行，因此整个 Frame 三行，返回 3。
+
+![](/img/window-function-5.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+3. Frame 类型为 RANGE
+
+查询语句：
+
+```SQL
+IoTDB> SELECT *,count(flow) OVER(PARTITION BY device ORDER BY flow RANGE BETWEEN 2 PRECEDING AND CURRENT ROW) as count FROM device_flow;
+```
+
+拆解步骤：
+
+* 把比当前行数据**小于等于 2 ​**的分为同一个 Frame，那么以 device 为 d0 的 partition 为例（d1 同理），对于 count 行数：
+    * 对于 flow 为 1 的行，由于它是最小的行了，所以整个 Frame 就它一行，返回 1；
+    * 对于 flow 为 3 的行，注意 CURRENT ROW 是作为 frame\_end 存在，因此是整个 peer group 的最后一行，符合要求比它小的共 1 行，然后 peer group 有 2 行，所以整个 Frame 共 3 行，返回 3；
+    * 对于 flow 为 5 的行，它本身包含 1 行，符合要求的比它小的共 2 行，所以整个 Frame 共 3 行，返回 3。
+
+![](/img/window-function-6.png)
+
+查询结果：
+
+```SQL
++-----------------------------+------+----+-----+
+|                         time|device|flow|count|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    3|
++-----------------------------+------+----+-----+
+```
+
+### 2.3 内置的窗口函数
+
+<table style="text-align: left;">
+  <tbody>
+    <tr>
+      <th>窗口函数分类</th>
+      <th>窗口函数名</th>
+      <th>函数定义</th>
+      <th>是否支持 FRAME 子句</th>
+    </tr>
+    <tr>
+      <td rowspan="1">Aggregate Function</td>
+      <td>所有内置聚合函数</td>
+      <td>对一组值进行聚合计算，得到单个聚合结果。</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td rowspan="5">Value Function</td>
+      <td>first_value</td>
+      <td>返回 frame 的第一个值，如果指定了 IGNORE NULLS 需要跳过前缀的 NULL</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td>last_value</td>
+      <td>返回 frame 的最后一个值，如果指定了 IGNORE NULLS 需要跳过后缀的 NULL</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td>nth_value</td>
+      <td>返回 frame 的第 n 个元素（注意 n 是从 1 开始），如果有 IGNORE NULLS 需要跳过 NULL</td>
+      <td>是</td>
+    </tr>
+    <tr>
+      <td>lead</td>
+      <td>返回当前行的后 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>lag</td>
+      <td>返回当前行的前 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td rowspan="6">Rank Function</td>
+      <td>rank</td>
+      <td>返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间可能有 gap</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>dense_rank</td>
+      <td>返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间没有 gap</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>row_number</td>
+      <td>返回当前行在整个 partition 中的行号，注意行号从 1 开始</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>percent_rank</td>
+      <td>以百分比的形式，返回当前行的值在整个 partition 中的序号；即 (rank() - 1) / (n - 1)，其中 n 是整个 partition 的行数</td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>cume_dist</td>
+      <td>以百分比的形式，返回当前行的值在整个 partition 中的序号；即 (小于等于它的行数） / n </td>
+      <td>否</td>
+    </tr>
+    <tr>
+      <td>ntile</td>
+      <td>指定 n，给每一行进行 1～n 的编号。</td>
+      <td>否</td>
+    </tr>
+  </tbody>
+</table>
+
+#### 2.3.1 Aggregate Function
+
+所有内置聚合函数，如 `sum()`、`avg()`、`min()`、`max()` 都能当作 Window Function 使用。
+
+> 注意：与 GROUP BY 不同，Window Function 中每一行都有相应的输出
+
+示例：
+
+```SQL
+IoTDB> SELECT *, sum(flow) OVER (PARTITION BY device ORDER BY flow) as sum FROM device_flow;
++-----------------------------+------+----+----+
+|                         time|device|flow| sum|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2| 2.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4| 6.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1| 1.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:02.000+08:00|    d0|   3| 7.0|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|12.0|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.2 Value Function
+1. `first_value`
+
+* 函数名：`first_value(value) [IGNORE NULLS]`
+* 定义：返回 frame 的第一个值，如果指定了 IGNORE NULLS 需要跳过前缀的 NULL；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, first_value(flow) OVER w as first_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+-----------+
+|                         time|device|flow|first_value|
++-----------------------------+------+----+-----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|          2|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|          2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|          1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|          1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|          3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|          3|
++-----------------------------+------+----+-----------+
+```
+
+2. `last_value`
+
+* 函数名：`last_value(value) [IGNORE NULLS]`
+* 定义：返回 frame 的最后一个值，如果指定了 IGNORE NULLS 需要跳过后缀的 NULL；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, last_value(flow) OVER w as last_value FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|last_value|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+3. `nth_value`
+
+* 函数名：`nth_value(value, n) [IGNORE NULLS]`
+* 定义：返回 frame 的第 n 个元素（注意 n 是从 1 开始），如果有 IGNORE NULLS 需要跳过 NULL；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, nth_value(flow, 2) OVER w as nth_values FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
++-----------------------------+------+----+----------+
+|                         time|device|flow|nth_values|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         4|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         3|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         5|
++-----------------------------+------+----+----------+
+```
+
+4. lead
+
+* 函数名：`lead(value[, offset[, default]]) [IGNORE NULLS]`
+* 定义：返回当前行的后 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default；offset 的默认值为 1，default 的默认值为 NULL。
+* lead 函数需要需要一个 ORDER BY 窗口子句
+* 示例：
+
+```SQL
+IoTDB> SELECT *, lead(flow) OVER w as lead FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY time);
++-----------------------------+------+----+----+
+|                         time|device|flow|lead|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   4|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|null|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   1|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|null|
++-----------------------------+------+----+----+
+```
+
+5. lag
+
+* 函数名：`lag(value[, offset[, default]]) [IGNORE NULLS]`
+* 定义：返回当前行的前 offset 个元素（如果有 IGNORE NULLS 则 NULL 不考虑在内），如果没有这样的元素（超过 partition 范围），则返回 default；offset 的默认值为 1，default 的默认值为 NULL。
+* lag 函数需要需要一个 ORDER BY 窗口子句
+* 示例：
+
+```SQL
+IoTDB> SELECT *, lag(flow) OVER w as lag FROM device_flow WINDOW w AS(PARTITION BY device ORDER BY device);
++-----------------------------+------+----+----+
+|                         time|device|flow| lag|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|null|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|null|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   3|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   5|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   3|
++-----------------------------+------+----+----+
+```
+
+#### 2.3.3 Rank Function
+1. rank
+
+* 函数名：`rank()`
+* 定义：返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间可能有 gap；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, rank() OVER w as rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----+
+|                         time|device|flow|rank|
++-----------------------------+------+----+----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|   1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|   2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|   1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|   2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|   4|
++-----------------------------+------+----+----+
+```
+
+2. dense\_rank
+
+* 函数名：`dense_rank()`
+* 定义：返回当前行在整个 partition 中的序号，值相同的行序号相同，序号之间没有 gap。
+* 示例：
+
+```SQL
+IoTDB> SELECT *, dense_rank() OVER w as dense_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|dense_rank|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         3|
++-----------------------------+------+----+----------+
+```
+
+3. row\_number
+
+* 函数名：`row_number()`
+* 定义：返回当前行在整个 partition 中的行号，注意行号从 1 开始；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, row_number() OVER w as row_number FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+----------+
+|                         time|device|flow|row_number|
++-----------------------------+------+----+----------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|         1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|         2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|         1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|         2|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|         3|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|         4|
++-----------------------------+------+----+----------+
+```
+
+4. percent\_rank
+
+* 函数名：`percent_rank()`
+* 定义：以百分比的形式，返回当前行的值在整个 partition 中的序号；即 **(rank() - 1) / (n - 1)**，其中 n 是整个 partition 的行数；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, percent_rank() OVER w as percent_rank FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+------------------+
+|                         time|device|flow|      percent_rank|
++-----------------------------+------+----+------------------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|               0.0|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|               1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|               0.0|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|0.3333333333333333|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|               1.0|
++-----------------------------+------+----+------------------+
+```
+
+5. cume\_dist
+
+* 函数名：cume\_dist
+* 定义：以百分比的形式，返回当前行的值在整个 partition 中的序号；即 **(小于等于它的行数） / n**。
+* 示例：
+
+```SQL
+IoTDB> SELECT *, cume_dist() OVER w as cume_dist FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+---------+
+|                         time|device|flow|cume_dist|
++-----------------------------+------+----+---------+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|      0.5|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|      1.0|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|     0.25|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|     0.75|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|      1.0|
++-----------------------------+------+----+---------+
+```
+
+6. ntile
+
+* 函数名：ntile
+* 定义：指定 n，给每一行进行 1～n 的编号。
+    * 整个 partition 行数比 n 小，那么编号就是行号 index；
+    * 整个 partition 行数比 n 大：
+        * 如果行数能除尽 n，那么比较完美，比如行数为 4，n 为 2，那么编号为 1、1、2、2、；
+        * 如果行数不能除尽 n，那么就分给开头几组，比如行数为 5，n 为 3，那么编号为 1、1、2、2、3；
+* 示例：
+
+```SQL
+IoTDB> SELECT *, ntile(2) OVER w as ntile FROM device_flow WINDOW w AS (PARTITION BY device ORDER BY flow);
++-----------------------------+------+----+-----+
+|                         time|device|flow|ntile|
++-----------------------------+------+----+-----+
+|1970-01-01T08:00:04.000+08:00|    d1|   2|    1|
+|1970-01-01T08:00:05.000+08:00|    d1|   4|    2|
+|1970-01-01T08:00:03.000+08:00|    d0|   1|    1|
+|1970-01-01T08:00:00.000+08:00|    d0|   3|    1|
+|1970-01-01T08:00:02.000+08:00|    d0|   3|    2|
+|1970-01-01T08:00:01.000+08:00|    d0|   5|    2|
++-----------------------------+------+----+-----+
+```
+
+### 2.4 场景示例
+1. 多设备 diff 函数
+
+对于每个设备的每一行，与前一行求差值：
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+对于每个设备的每一行，与后一行求差值：
+
+```SQL
+SELECT
+    *,
+    measurement - lead(measurement) OVER (PARTITION BY device ORDER BY time)
+FROM data
+WHERE timeCondition;
+```
+
+对于单个设备的每一行，与前一行求差值（后一行同理）：
+
+```SQL
+SELECT
+    *,
+    measurement - lag(measurement) OVER (ORDER BY time)
+FROM data
+where device='d1'
+WHERE timeCondition;
+```
+
+2. 多设备 TOP\_K/BOTTOM\_K
+
+利用 rank 获取序号，然后在外部的查询中保留想要的顺序。
+
+（注意， window function 的执行顺序在 HAVING 子句之后，所以这里需要子查询）
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY time DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+除了按照时间排序之外，还可以按照测点的值进行排序：
+
+```SQL
+SELECT *
+FROM(     
+    SELECT 
+        *, 
+        rank() OVER (PARTITION BY device ORDER BY measurement DESC)
+    FROM data 
+    WHERE timeCondition
+)
+WHERE rank <= 3;
+```
+
+3. 多设备 CHANGE\_POINTS
+
+这个 sql 用来去除输入序列中连续相同值，可以用 lead + 子查询实现：
+
+```SQL
+SELECT
+    time,
+    device,
+    measurement 
+FROM(
+    SELECT          
+        time,         
+        device,         
+        measurement,         
+        LEAD(measurement) OVER (PARTITION BY device ORDER BY time) AS next     
+    FROM data 
+    WHERE timeCondition
+)
+WHERE measurement != next OR next IS NULL;
+```

From 576d7f3d6df5c9b8955a78aace6f885dcddd7e3a Mon Sep 17 00:00:00 2001
From: Leto_b <bingqian.bai@timecho.com>
Date: Wed, 3 Dec 2025 11:09:49 +0800
Subject: [PATCH 2/3] change picture

---
 .../public/img/window-function-1.png          | Bin 532355 -> 554760 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)

diff --git a/src/.vuepress/public/img/window-function-1.png b/src/.vuepress/public/img/window-function-1.png
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From c8b46a5d91e36304d39bb6634bcb47bdfcd3b745 Mon Sep 17 00:00:00 2001
From: Leto_b <bingqian.bai@timecho.com>
Date: Wed, 3 Dec 2025 11:33:25 +0800
Subject: [PATCH 3/3] adjust number

---
 .../SQL-Manual/Featured-Functions_timecho.md  | 20 +++++++++----------
 .../SQL-Manual/Featured-Functions_timecho.md  | 20 +++++++++----------
 2 files changed, 20 insertions(+), 20 deletions(-)

diff --git a/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
index 5977ded98..5afcc9592 100644
--- a/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
+++ b/src/UserGuide/Master/Table/SQL-Manual/Featured-Functions_timecho.md
@@ -695,9 +695,9 @@ IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULAT
 ```
 
 
-## 2. Window Functions
+## 4. Window Functions
 
-### 2.1 Function Overview
+### 4.1 Function Overview
 
 The Window Functions supported by IoTDB are special functions that perform calculations on each row based on a specific set of rows related to the current row (called a "window"). It combines grouping operations (`PARTITION BY`), sorting (`ORDER BY`), and definable calculation ranges (window frame `FRAME`), enabling complex cross-row calculations without collapsing the original data rows. It is commonly used in data analysis scenarios such as ranking, cumulative sums, moving averages, etc.
 
@@ -746,9 +746,9 @@ the expected results can be obtained:
 +-----------------------------+------+----+----+
 ```
 
-### 2.2 Function Definition
+### 4.2 Function Definition
 
-#### 2.2.1 SQL Definition
+#### 4.2.1 SQL Definition
 
 ```SQL
 windowDefinition
@@ -783,7 +783,7 @@ frameBound
     ;
 ```
 
-#### 2.2.2 Window Definition
+#### 4.2.2 Window Definition
 
 ##### Partition
 
@@ -1016,7 +1016,7 @@ Query result:
 +-----------------------------+------+----+-----+
 ```
 
-### 2.3 Built-in Window Functions
+### 4.3 Built-in Window Functions
 
 <table style="text-align: left;">
   <tbody>
@@ -1092,7 +1092,7 @@ Query result:
   </tbody>
 </table>
 
-#### 2.3.1 Aggregate Function
+#### 4.3.1 Aggregate Function
 
 All built-in aggregate functions such as `sum()`, `avg()`, `min()`, `max()` can be used as Window Functions.
 
@@ -1114,7 +1114,7 @@ IoTDB> SELECT *, sum(flow) OVER (PARTITION BY device ORDER BY flow) as sum FROM
 +-----------------------------+------+----+----+
 ```
 
-#### 2.3.2 Value Function
+#### 4.3.2 Value Function
 
 1. `first_value`
 
@@ -1218,7 +1218,7 @@ IoTDB> SELECT *, lag(flow) OVER w as lag FROM device_flow WINDOW w AS(PARTITION
 +-----------------------------+------+----+----+
 ```
 
-#### 2.3.3 Rank Function
+#### 4.3.3 Rank Function
 
 1. rank
 
@@ -1344,7 +1344,7 @@ IoTDB> SELECT *, ntile(2) OVER w as ntile FROM device_flow WINDOW w AS (PARTITIO
 +-----------------------------+------+----+-----+
 ```
 
-### 2.4 Scenario Examples
+### 4.4 Scenario Examples
 
 1. Multi-device diff function
 
diff --git a/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
index 5977ded98..5afcc9592 100644
--- a/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
+++ b/src/UserGuide/latest-Table/SQL-Manual/Featured-Functions_timecho.md
@@ -695,9 +695,9 @@ IoTDB> SELECT window_start, window_end, stock_id, avg(price) as avg FROM CUMULAT
 ```
 
 
-## 2. Window Functions
+## 4. Window Functions
 
-### 2.1 Function Overview
+### 4.1 Function Overview
 
 The Window Functions supported by IoTDB are special functions that perform calculations on each row based on a specific set of rows related to the current row (called a "window"). It combines grouping operations (`PARTITION BY`), sorting (`ORDER BY`), and definable calculation ranges (window frame `FRAME`), enabling complex cross-row calculations without collapsing the original data rows. It is commonly used in data analysis scenarios such as ranking, cumulative sums, moving averages, etc.
 
@@ -746,9 +746,9 @@ the expected results can be obtained:
 +-----------------------------+------+----+----+
 ```
 
-### 2.2 Function Definition
+### 4.2 Function Definition
 
-#### 2.2.1 SQL Definition
+#### 4.2.1 SQL Definition
 
 ```SQL
 windowDefinition
@@ -783,7 +783,7 @@ frameBound
     ;
 ```
 
-#### 2.2.2 Window Definition
+#### 4.2.2 Window Definition
 
 ##### Partition
 
@@ -1016,7 +1016,7 @@ Query result:
 +-----------------------------+------+----+-----+
 ```
 
-### 2.3 Built-in Window Functions
+### 4.3 Built-in Window Functions
 
 <table style="text-align: left;">
   <tbody>
@@ -1092,7 +1092,7 @@ Query result:
   </tbody>
 </table>
 
-#### 2.3.1 Aggregate Function
+#### 4.3.1 Aggregate Function
 
 All built-in aggregate functions such as `sum()`, `avg()`, `min()`, `max()` can be used as Window Functions.
 
@@ -1114,7 +1114,7 @@ IoTDB> SELECT *, sum(flow) OVER (PARTITION BY device ORDER BY flow) as sum FROM
 +-----------------------------+------+----+----+
 ```
 
-#### 2.3.2 Value Function
+#### 4.3.2 Value Function
 
 1. `first_value`
 
@@ -1218,7 +1218,7 @@ IoTDB> SELECT *, lag(flow) OVER w as lag FROM device_flow WINDOW w AS(PARTITION
 +-----------------------------+------+----+----+
 ```
 
-#### 2.3.3 Rank Function
+#### 4.3.3 Rank Function
 
 1. rank
 
@@ -1344,7 +1344,7 @@ IoTDB> SELECT *, ntile(2) OVER w as ntile FROM device_flow WINDOW w AS (PARTITIO
 +-----------------------------+------+----+-----+
 ```
 
-### 2.4 Scenario Examples
+### 4.4 Scenario Examples
 
 1. Multi-device diff function