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2021-10-13 15:08:46 +03:00
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<title>Polynomial</title>
</head><body><link href="../../../../../images/logo-icon.svg" rel="icon" type="image/svg"><script>var pathToRoot = "../../../";</script><script type="text/javascript" src="../../../scripts/sourceset_dependencies.js" async></script><link href="../../../styles/style.css" rel="Stylesheet"><link href="../../../styles/logo-styles.css" rel="Stylesheet"><link href="../../../styles/jetbrains-mono.css" rel="Stylesheet"><link href="../../../styles/main.css" rel="Stylesheet"><script type="text/javascript" src="../../../scripts/clipboard.js" async></script><script type="text/javascript" src="../../../scripts/navigation-loader.js" async></script><script type="text/javascript" src="../../../scripts/platform-content-handler.js" async></script><script type="text/javascript" src="../../../scripts/main.js" async></script>
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<div class="breadcrumbs"><a href="../../index.html">kmath-functions</a>/<a href="../index.html">space.kscience.kmath.functions</a>/<a href="index.html">Polynomial</a></div>
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<h1 class="cover"><span>Polynomial</span></h1>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace">class <a href="index.html">Polynomial</a>&lt;out <a href="index.html">T</a>&gt;(coefficients: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a>&lt;<a href="index.html">T</a>&gt;)<span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div><p class="paragraph">Polynomial coefficients model without fixation on specific context they are applied to.</p></div></div>
</div>
<div class="tabbedcontent">
<div class="tabs-section" tabs-section="tabs-section"><button class="section-tab" data-active="" data-togglable="Constructors">Constructors</button><button class="section-tab" data-togglable="Functions">Functions</button><button class="section-tab" data-togglable="Properties">Properties</button><button class="section-tab" data-togglable="Extensions">Extensions</button><button class="section-tab" data-togglable="Parameters">Parameters</button><button class="section-tab" data-togglable="Sources">Sources</button></div>
<div class="tabs-section-body">
<h2 class="">Parameters</h2>
<div data-togglable="Parameters">
<div class="platform-hinted WithExtraAttributes" data-platform-hinted="data-platform-hinted" data-togglable="Parameters"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div data-togglable="Parameters"><div class="table" data-togglable="Parameters"><div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue WithExtraAttributes"><div class=""><span class="inline-flex">coefficients</span></div><div><div class="title"><div data-togglable="Parameters"><p class="paragraph">constant is the leftmost coefficient.</p></div></div></div></div></div></div></div></div></div>
</div>
<h2 class="tabbedcontent">Constructors</h2>
<div class="table" data-togglable="Constructors"><a data-name="449823258%2FConstructors%2F-597741372" anchor-label="Polynomial" id="449823258%2FConstructors%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue TabbedContent">
<div class=""><span class="inline-flex"><a href="-polynomial.html">Polynomial</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="449823258%2FConstructors%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun &lt;out <a href="index.html">T</a>&gt; <a href="-polynomial.html">Polynomial</a>(coefficients: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a>&lt;<a href="index.html">T</a>&gt;)<span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div><div class="brief ">constant is the leftmost coefficient.</div></div></div>
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</div>
</div>
</div>
<h2 class="">Functions</h2>
<div class="table" data-togglable="Functions"><a data-name="1251237394%2FFunctions%2F-597741372" anchor-label="toString" id="1251237394%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="to-string.html">toString</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1251237394%2FFunctions%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
</span></span></div>
<div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open override fun <a href="to-string.html">toString</a>(): <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
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</div>
<h2 class="">Properties</h2>
<div class="table" data-togglable="Properties"><a data-name="748621408%2FProperties%2F-597741372" anchor-label="coefficients" id="748621408%2FProperties%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="coefficients.html">coefficients</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="748621408%2FProperties%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
</span></span></div>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted" data-togglable="Properties"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><a data-name="748621408%2FProperties%2F-597741372" anchor-label="coefficients" id="748621408%2FProperties%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace">val <a href="coefficients.html">coefficients</a>: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a>&lt;<a href="index.html">T</a>&gt;<span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div><div class="brief "><a data-name="748621408%2FProperties%2F-597741372" anchor-label="coefficients" id="748621408%2FProperties%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>constant is the leftmost coefficient.</div></div></div>
</div>
</div>
</div>
</div>
</div>
<h2 class="tabbedcontent">Extensions</h2>
<div class="table" data-togglable="Extensions"><a data-name="623091503%2FExtensions%2F-597741372" anchor-label="asFunction" id="623091503%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="../as-function.html">asFunction</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="623091503%2FExtensions%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
</span></span></div>
<div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun &lt;<a href="../as-function.html">T</a>, <a href="../as-function.html">C</a> : <a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a>&lt;<a href="../as-function.html">T</a>&gt;&gt; <a href="index.html">Polynomial</a>&lt;<a href="../as-function.html">T</a>&gt;.<a href="../as-function.html">asFunction</a>(ring: <a href="../as-function.html">C</a>): (<a href="../as-function.html">T</a>) -&gt; <a href="../as-function.html">T</a><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
</div>
<a data-name="623091503%2FExtensions%2F-597741372" anchor-label="asFunction" id="623091503%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="623091503%2FExtensions%2F-597741372" anchor-label="asFunction" id="623091503%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Represent the polynomial as a regular context-less function.</div></div>
</div>
</div>
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</div>
<a data-name="-920703650%2FExtensions%2F-597741372" anchor-label="differentiate" id="-920703650%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="../differentiate.html">differentiate</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-920703650%2FExtensions%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
</span></span></div>
<div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun &lt;<a href="../differentiate.html">T</a>, <a href="../differentiate.html">A</a> : <a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a>&lt;<a href="../differentiate.html">T</a>&gt;, <a href="../../../kmath-core/space.kscience.kmath.operations/-numeric-algebra/index.html">NumericAlgebra</a>&lt;<a href="../differentiate.html">T</a>&gt;&gt; <a href="index.html">Polynomial</a>&lt;<a href="../differentiate.html">T</a>&gt;.<a href="../differentiate.html">differentiate</a>(algebra: <a href="../differentiate.html">A</a>): <a href="index.html">Polynomial</a>&lt;<a href="../differentiate.html">T</a>&gt;<span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
</div>
<a data-name="-920703650%2FExtensions%2F-597741372" anchor-label="differentiate" id="-920703650%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-920703650%2FExtensions%2F-597741372" anchor-label="differentiate" id="-920703650%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Create a polynomial witch represents differentiated version of this polynomial</div></div>
</div>
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</div>
<a data-name="458363129%2FExtensions%2F-597741372" anchor-label="integrate" id="458363129%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="../integrate.html">integrate</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="458363129%2FExtensions%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
</span></span></div>
<div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun &lt;<a href="../integrate.html">T</a>, <a href="../integrate.html">A</a> : <a href="../../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a>&lt;<a href="../integrate.html">T</a>&gt;, <a href="../../../kmath-core/space.kscience.kmath.operations/-numeric-algebra/index.html">NumericAlgebra</a>&lt;<a href="../integrate.html">T</a>&gt;&gt; <a href="index.html">Polynomial</a>&lt;<a href="../integrate.html">T</a>&gt;.<a href="../integrate.html">integrate</a>(algebra: <a href="../integrate.html">A</a>): <a href="index.html">Polynomial</a>&lt;<a href="../integrate.html">T</a>&gt;<span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
</div>
<a data-name="432758595%2FExtensions%2F-597741372" anchor-label="integrate" id="432758595%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="432758595%2FExtensions%2F-597741372" anchor-label="integrate" id="432758595%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Create a polynomial witch represents indefinite integral version of this polynomial</div></div>
<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><div class="block"><div class="block">@<a href="../../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html">UnstableKMathAPI</a>()</div></div>fun &lt;<a href="../integrate.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="../integrate.html">T</a>&gt;&gt; <a href="index.html">Polynomial</a>&lt;<a href="../integrate.html">T</a>&gt;.<a href="../integrate.html">integrate</a>(algebra: <a href="../../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a>&lt;<a href="../integrate.html">T</a>&gt;, range: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a>&lt;<a href="../integrate.html">T</a>&gt;): <a href="../integrate.html">T</a><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
</div>
<a data-name="397399042%2FExtensions%2F-597741372" anchor-label="integrate" id="397399042%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="397399042%2FExtensions%2F-597741372" anchor-label="integrate" id="397399042%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Compute a definite integral of a given polynomial in a <a href="../integrate.html">range</a></div></div>
</div>
</div>
</div>
</div>
<a data-name="-1499184233%2FExtensions%2F-597741372" anchor-label="value" id="-1499184233%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="../value.html">value</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1499184233%2FExtensions%2F-597741372"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
</span></span></div>
<div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun <a href="index.html">Polynomial</a>&lt;<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>&gt;.<a href="../value.html">value</a>(arg: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a>): <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
</div>
<a data-name="-1070541254%2FExtensions%2F-597741372" anchor-label="value" id="-1070541254%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-1070541254%2FExtensions%2F-597741372" anchor-label="value" id="-1070541254%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Evaluates the value of the given double polynomial for given double argument.</div></div>
<div class="divergent-group" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="with-platform-tags"><span class="pull-right"></span></div>
<div>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-functions:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun &lt;<a href="../value.html">T</a>, <a href="../value.html">C</a> : <a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a>&lt;<a href="../value.html">T</a>&gt;&gt; <a href="index.html">Polynomial</a>&lt;<a href="../value.html">T</a>&gt;.<a href="../value.html">value</a>(ring: <a href="../value.html">C</a>, arg: <a href="../value.html">T</a>): <a href="../value.html">T</a><span class="top-right-position"><span class="copy-icon"></span><div class="copy-popup-wrapper popup-to-left"><span class="copy-popup-icon"></span><span>Content copied to clipboard</span></div></span></div></div></div>
</div>
<a data-name="1252739599%2FExtensions%2F-597741372" anchor-label="value" id="1252739599%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="1252739599%2FExtensions%2F-597741372" anchor-label="value" id="1252739599%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Evaluates the value of the given polynomial for given argument.</div></div>
</div>
</div>
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</div>
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<h2 class="">Sources</h2>
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