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    <title>MongoDB Jira</title>
    <link>https://jira.mongodb.org</link>
    <description>This file is an XML representation of an issue</description>
    <language>en-us</language>    <build-info>
        <version>9.7.1</version>
        <build-number>970001</build-number>
        <build-date>13-04-2023</build-date>
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<item>
            <title>[DOCS-14703] Derivative and Integral documentation updates</title>
                <link>https://jira.mongodb.org/browse/DOCS-14703</link>
                <project id="10380" key="DOCS">Documentation</project>
                    <description>&lt;p&gt;It would be better to rephrase the definitions of derivative and integral functions as shown below to make them more technically accurate.&lt;/p&gt;

&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;font color=&quot;#FF0000&quot;&gt;Current&lt;/font&gt;&lt;/p&gt;

&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;b&gt;$integral&lt;/b&gt;&lt;/p&gt;

&lt;p&gt;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:&lt;/p&gt;
&lt;ul&gt;
	&lt;li&gt;&lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-sortBy&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;sortBy&lt;/a&gt; field values in the &lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/setWindowFields/#mongodb-pipeline-pipe.-setWindowFields&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;$setWindowFields&lt;/a&gt; stage for the x axis values.&lt;/li&gt;
	&lt;li&gt;&lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/integral/#std-label-integral-input&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;input&lt;/a&gt; field &lt;a href=&quot;https://docs.mongodb.com/v5.0/meta/aggregation-quick-reference/#std-label-aggregation-expressions&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;expression&lt;/a&gt; result values in &lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/integral/#mongodb-group-grp.-integral&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;$integral&lt;/a&gt; for the y axis values.&lt;/li&gt;
&lt;/ul&gt;


&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;font color=&quot;#57d9a3&quot;&gt;Updated&lt;/font&gt;&lt;/p&gt;

&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;b&gt;$integral&lt;/b&gt;&lt;/p&gt;

&lt;p&gt;Returns the approximation of the area under the curve calculated using the trapezoidal rule where each set of adjacent documents form a trapezoid using the:&lt;/p&gt;
&lt;ul&gt;
	&lt;li&gt;&lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-sortBy&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;sortBy&lt;/a&gt; field values in the &lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/setWindowFields/#mongodb-pipeline-pipe.-setWindowFields&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;$setWindowFields&lt;/a&gt; stage for the integration intervals.&lt;/li&gt;
	&lt;li&gt;&lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/integral/#std-label-integral-input&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;input&lt;/a&gt; field &lt;a href=&quot;https://docs.mongodb.com/v5.0/meta/aggregation-quick-reference/#std-label-aggregation-expressions&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;expression&lt;/a&gt; result values in &lt;a href=&quot;https://docs.mongodb.com/v5.0/reference/operator/aggregation/integral/#mongodb-group-grp.-integral&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;$integral&lt;/a&gt; for the y axis values.&lt;/li&gt;
&lt;/ul&gt;


&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;font color=&quot;#de350b&quot;&gt;Current&lt;/font&gt;&lt;/p&gt;

&lt;p&gt;&lt;b&gt;$derivative&lt;/b&gt;&lt;/p&gt;

&lt;p&gt;Returns the mathematical derivative value, which is calculated using the:&lt;/p&gt;
&lt;ul&gt;
	&lt;li&gt;First and last documents in the &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#mongodb-pipeline-pipe.-setWindowFields&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;$setWindowFields&lt;/a&gt; stage &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-window&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;window&lt;/a&gt;.&lt;/li&gt;
	&lt;li&gt;Numerator, which is set to the result of subtracting the numeric &lt;a href=&quot;https://docs.mongodb.com/manual/meta/aggregation-quick-reference/#std-label-aggregation-expressions&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;expression&lt;/a&gt; value for the first document from the &lt;a href=&quot;https://docs.mongodb.com/manual/meta/aggregation-quick-reference/#std-label-aggregation-expressions&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;expression&lt;/a&gt; value for the last document.&lt;/li&gt;
	&lt;li&gt;Denominator, which is set to the result of subtracting the &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-sortBy&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;sortBy&lt;/a&gt; field value for the first document from the &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-sortBy&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;sortBy&lt;/a&gt; field value for the last document.&lt;/li&gt;
&lt;/ul&gt;


&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;font color=&quot;#57d9a3&quot;&gt;Updated&lt;/font&gt;&lt;/p&gt;

&lt;p&gt;&#160;&lt;/p&gt;

&lt;p&gt;&lt;b&gt;$derivative&lt;/b&gt;&lt;/p&gt;

&lt;p&gt;Returns the average rate of change within the specified window, which is calculated using the:&lt;/p&gt;
&lt;ul&gt;
	&lt;li&gt;First and last documents in the &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#mongodb-pipeline-pipe.-setWindowFields&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;$setWindowFields&lt;/a&gt; stage &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-window&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;window&lt;/a&gt;.&lt;/li&gt;
	&lt;li&gt;Numerator, which is set to the result of subtracting the numeric &lt;a href=&quot;https://docs.mongodb.com/manual/meta/aggregation-quick-reference/#std-label-aggregation-expressions&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;expression&lt;/a&gt; value for the first document from the &lt;a href=&quot;https://docs.mongodb.com/manual/meta/aggregation-quick-reference/#std-label-aggregation-expressions&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;expression&lt;/a&gt; value for the last document.&lt;/li&gt;
	&lt;li&gt;Denominator, which is set to the result of subtracting the &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-sortBy&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;sortBy&lt;/a&gt; field value for the first document from the &lt;a href=&quot;https://docs.mongodb.com/manual/reference/operator/aggregation/setWindowFields/#std-label-setWindowFields-sortBy&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;sortBy&lt;/a&gt; field value for the last document.&lt;/li&gt;
&lt;/ul&gt;
</description>
                <environment></environment>
        <key id="1840188">DOCS-14703</key>
            <summary>Derivative and Integral documentation updates</summary>
                <type id="3" iconUrl="https://jira.mongodb.org/secure/viewavatar?size=xsmall&amp;avatarId=14718&amp;avatarType=issuetype">Task</type>
                                            <priority id="4" iconUrl="https://jira.mongodb.org/images/icons/priorities/minor.svg">Minor - P4</priority>
                        <status id="6" iconUrl="https://jira.mongodb.org/images/icons/statuses/closed.png" description="The issue is considered finished, the resolution is correct. Issues which are closed can be reopened.">Closed</status>
                    <statusCategory id="3" key="done" colorName="success"/>
                                    <resolution id="9">Done</resolution>
                                        <assignee username="jason.price@mongodb.com">Jason Price</assignee>
                                    <reporter username="bora.beran@mongodb.com">Bora Beran</reporter>
                        <labels>
                    </labels>
                <created>Tue, 3 Aug 2021 21:07:26 +0000</created>
                <updated>Mon, 30 Oct 2023 22:16:04 +0000</updated>
                            <resolved>Mon, 16 Aug 2021 16:45:40 +0000</resolved>
                                                    <fixVersion>Server_Docs_20231030</fixVersion>
                                    <component>manual</component>
                    <component>Server</component>
                        <due></due>
                            <votes>0</votes>
                                    <watches>2</watches>
                                                                                                                <comments>
                            <comment id="4001896" author="xgen-internal-githook" created="Mon, 16 Aug 2021 16:44:04 +0000"  >&lt;p&gt;Author:&lt;/p&gt;
{&apos;name&apos;: &apos;jason-price-mongodb&apos;, &apos;email&apos;: &apos;jshfjghsdfgjsdjh@aolsdjfhkjsdhfkjsdf.com&apos;}
&lt;p&gt;Message: &lt;a href=&quot;https://jira.mongodb.org/browse/DOCS-14703&quot; title=&quot;Derivative and Integral documentation updates&quot; class=&quot;issue-link&quot; data-issue-key=&quot;DOCS-14703&quot;&gt;&lt;del&gt;DOCS-14703&lt;/del&gt;&lt;/a&gt; derivative and integral updates&lt;br/&gt;
Branch: master&lt;br/&gt;
&lt;a href=&quot;https://github.com/mongodb/docs/commit/8454aef6ad5fba8b4a910a4feca546c18e8a6340&quot; class=&quot;external-link&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener&quot;&gt;https://github.com/mongodb/docs/commit/8454aef6ad5fba8b4a910a4feca546c18e8a6340&lt;/a&gt;&lt;/p&gt;</comment>
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