175 lines
29 KiB
HTML
175 lines
29 KiB
HTML
<html>
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<title>Polynomial</title>
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<div class="main-content" id="content" pageids="kmath-functions::space.kscience.kmath.functions/Polynomial///PointingToDeclaration//-597741372">
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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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<div class="cover ">
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<h1 class="cover"><span><span>Polynomial</span></span></h1>
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<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"><span class="token keyword">class </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword">out </span><a href="index.html">T</a><span class="token operator">></span><span class="token punctuation">(</span>coefficients<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token punctuation">)</span><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>
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</div>
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<div class="tabbedcontent">
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<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>
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<div class="tabs-section-body">
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<h2 class="">Parameters</h2>
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<div data-togglable="Parameters">
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<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"><div><span><span>coefficients</span></span></div></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>
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</div>
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<h2 class="tabbedcontent">Constructors</h2>
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<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>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue TabbedContent">
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<div class=""><span class="inline-flex">
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<div><a href="-polynomial.html"><span><span>Polynomial</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="449823258%2FConstructors%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword">out </span><a href="index.html">T</a><span class="token operator">> </span><a href="-polynomial.html"><span class="token function">Polynomial</span></a><span class="token punctuation">(</span>coefficients<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><span class="token punctuation">)</span><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>
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</div>
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</div>
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</div>
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</div>
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<h2 class="">Functions</h2>
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<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>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="to-string.html"><span>to</span><wbr><span><span>String</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1251237394%2FFunctions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token keyword">open </span><span class="token keyword">override </span><span class="token keyword">fun </span><a href="to-string.html"><span class="token function">toString</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><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>
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</div>
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</div>
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</div>
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</div>
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<h2 class="">Properties</h2>
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<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>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="coefficients.html">coefficients</a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="748621408%2FProperties%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token keyword"></span><span class="token keyword">val </span><a href="coefficients.html">coefficients</a><span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-list/index.html">List</a><span class="token operator"><</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">></span><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>
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</div>
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</div>
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</div>
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</div>
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<h2 class="tabbedcontent">Extensions</h2>
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<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>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../as-function.html"><span>as</span><wbr><span><span>Function</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="623091503%2FExtensions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="../as-function.html">C</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../as-function.html"><span class="token function">asFunction</span></a><span class="token punctuation">(</span>ring<span class="token operator">: </span><a href="../as-function.html">C</a><span class="token punctuation">)</span><span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="../as-function.html">T</a><span class="token punctuation">)</span><span class="token operator"> -> </span><span class="token keyword"></span><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 class="brief "><p class="paragraph">Represent the polynomial as a regular context-less function.</p></div></div></div>
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</div>
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</div>
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</div>
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</div>
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<a data-name="-920703650%2FExtensions%2F-597741372" anchor-label="differentiate" id="-920703650%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../differentiate.html"><span><span>differentiate</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-920703650%2FExtensions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token annotation">@</span><a href="../../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html"><span class="token annotation">UnstableKMathAPI</span></a></div></div><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../differentiate.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="../differentiate.html">A</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a><span class="token operator"><</span><span class="token keyword"></span><a href="../differentiate.html">T</a><span class="token operator">></span>, <a href="../../../kmath-core/space.kscience.kmath.operations/-numeric-algebra/index.html">NumericAlgebra</a><span class="token operator"><</span><span class="token keyword"></span><a href="../differentiate.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../differentiate.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../differentiate.html"><span class="token function">differentiate</span></a><span class="token punctuation">(</span>algebra<span class="token operator">: </span><a href="../differentiate.html">A</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../differentiate.html">T</a><span class="token operator">></span><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 "><p class="paragraph">Create a polynomial witch represents differentiated version of this polynomial</p></div></div></div>
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</div>
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</div>
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<a data-name="458363129%2FExtensions%2F-597741372" anchor-label="integrate" id="458363129%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../integrate.html"><span><span>integrate</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="458363129%2FExtensions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token annotation">@</span><a href="../../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html"><span class="token annotation">UnstableKMathAPI</span></a></div></div><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="../integrate.html">A</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span>, <a href="../../../kmath-core/space.kscience.kmath.operations/-numeric-algebra/index.html">NumericAlgebra</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../integrate.html"><span class="token function">integrate</span></a><span class="token punctuation">(</span>algebra<span class="token operator">: </span><a href="../integrate.html">A</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><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 "><p class="paragraph">Create a polynomial witch represents indefinite integral version of this polynomial</p></div><div class="symbol monospace"><div class="block"><div class="block"><span class="token annotation">@</span><a href="../../../kmath-core/space.kscience.kmath.misc/-unstable-k-math-a-p-i/index.html"><span class="token annotation">UnstableKMathAPI</span></a></div></div><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator"> : </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../integrate.html"><span class="token function">integrate</span></a><span class="token punctuation">(</span>algebra<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.operations/-field/index.html">Field</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><span class="token punctuation">, </span>range<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a><span class="token operator"><</span><span class="token keyword"></span><a href="../integrate.html">T</a><span class="token operator">></span><span class="token punctuation">)</span><span class="token operator">: </span><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 class="brief "><p class="paragraph">Compute a definite integral of a given polynomial in a <a href="../integrate.html">range</a></p></div></div></div>
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<a data-name="-1499184233%2FExtensions%2F-597741372" anchor-label="value" id="-1499184233%2FExtensions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class="table-row" data-filterable-current=":kmath-functions:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain">
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<div class="main-subrow keyValue ">
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<div class=""><span class="inline-flex">
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<div><a href="../value.html"><span><span>value</span></span></a></div>
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<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1499184233%2FExtensions%2F-597741372"></span>
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<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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</span></span></div>
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<div>
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<div class="title">
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<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"><span class="token keyword"></span><span class="token keyword">fun </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../value.html"><span class="token function">value</span></a><span class="token punctuation">(</span>arg<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-double/index.html">Double</a><span class="token punctuation">)</span><span class="token operator">: </span><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 class="brief "><p class="paragraph">Evaluates the value of the given double polynomial for given double argument.</p></div><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="../value.html">C</a><span class="token operator"> : </span><a href="../../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token operator">></span><span class="token operator">> </span><a href="index.html">Polynomial</a><span class="token operator"><</span><span class="token keyword"></span><a href="../value.html">T</a><span class="token operator">></span><span class="token punctuation">.</span><a href="../value.html"><span class="token function">value</span></a><span class="token punctuation">(</span>ring<span class="token operator">: </span><a href="../value.html">C</a><span class="token punctuation">, </span>arg<span class="token operator">: </span><a href="../value.html">T</a><span class="token punctuation">)</span><span class="token operator">: </span><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 class="brief "><p class="paragraph">Evaluates the value of the given polynomial for given argument. https://en.wikipedia.org/wiki/Horner%27s_method</p></div></div></div>
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<h2 class="">Sources</h2>
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<div class="table" data-togglable="Sources"><a data-name="1242143393%2FSource%2F-597741372" anchor-label="https://github.com/mipt-npm/kmath/tree/master/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/Polynomial.kt#L15" id="1242143393%2FSource%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div><a href="https://github.com/mipt-npm/kmath/tree/master/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/Polynomial.kt#L15">common source</a></div>
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