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DOCS-14703 derivative and integral updates #5702

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Aug 16, 2021
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DOCS-14703 derivative and integral updates #5702

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7 changes: 3 additions & 4 deletions source/includes/extracts-agg-operators.yaml
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Expand Up @@ -1188,8 +1188,8 @@ content: |

* - :group:`$derivative`

- Returns the mathematical derivative of the numeric
:ref:`expression <aggregation-expressions>`.
- Returns the average rate of change within the specified
:ref:`window <setWindowFields-window>`.

.. versionadded:: 5.0

Expand Down Expand Up @@ -1221,8 +1221,7 @@ content: |

* - :group:`$integral`

- Returns the mathematical integral of the numeric
:ref:`expression <aggregation-expressions>`.
- Returns the approximation of the area under a curve.

.. versionadded:: 5.0

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7 changes: 3 additions & 4 deletions source/reference/operator/aggregation.txt
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Expand Up @@ -416,8 +416,8 @@ Alphabetical Listing of Expression Operators

* - :group:`$derivative`

- Returns the mathematical derivative for the numeric
:ref:`expression <aggregation-expressions>`.
- Returns the average rate of change within the specified
:ref:`window <setWindowFields-window>`.

.. versionadded:: 5.0

Expand Down Expand Up @@ -560,8 +560,7 @@ Alphabetical Listing of Expression Operators

* - :group:`$integral`

- Returns the mathematical integral for the numeric
:ref:`expression <aggregation-expressions>`.
- Returns the approximation of the area under a curve.

.. versionadded:: 5.0

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4 changes: 2 additions & 2 deletions source/reference/operator/aggregation/derivative.txt
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Expand Up @@ -17,8 +17,8 @@ Definition

.. group:: $derivative

Returns the mathematical derivative value, which is calculated using
the:
Returns the average rate of change within the specified :ref:`window
<setWindowFields-window>`, which is calculated using the:

- First and last documents in the :pipeline:`$setWindowFields` stage
:ref:`window <setWindowFields-window>`.
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8 changes: 4 additions & 4 deletions source/reference/operator/aggregation/integral.txt
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Expand Up @@ -17,12 +17,12 @@ Definition

.. group:: $integral

Returns an approximation for the mathematical integral value, which is
calculated using the trapezoidal rule with each set of adjacent
documents forming a trapezoid using the:
Returns the approximation of the area under a curve, which is
calculated using the trapezoidal rule where each set of adjacent
documents form a trapezoid using the:

- :ref:`sortBy <setWindowFields-sortBy>` field values in the
:pipeline:`$setWindowFields` stage for the x axis values.
:pipeline:`$setWindowFields` stage for the integration intervals.

- :ref:`input <integral-input>` field :ref:`expression
<aggregation-expressions>` result values in :group:`$integral` for the
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