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<h1 class="cover"><span>Package space.</span><wbr><span>kscience.</span><wbr><span>kmath.</span><wbr><span>functions</span></h1>
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<div class="tabs-section" tabs-section="tabs-section"><button class="section-tab" data-active="" data-togglable="Types">Types</button><button class="section-tab" data-togglable="Functions">Functions</button></div>
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<h2 class="">Types</h2>
<div class="table" data-togglable="Types"><a data-name="1906483718%2FClasslikes%2F-597741372" anchor-label="MultivariateFunction" id="1906483718%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="index.html#1906483718%2FClasslikes%2F-597741372">MultivariateFunction</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1906483718%2FClasslikes%2F-597741372"></span>
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<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>
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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">typealias <a href="index.html#1906483718%2FClasslikes%2F-597741372">MultivariateFunction</a>&lt;<a href="index.html#1906483718%2FClasslikes%2F-597741372">T</a>&gt; = (<a href="../../kmath-core/space.kscience.kmath.structures/-buffer/index.html">Buffer</a>&lt;<a href="index.html#1906483718%2FClasslikes%2F-597741372">T</a>&gt;) -&gt; <a href="index.html#1906483718%2FClasslikes%2F-597741372">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>
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<a data-name="1485823131%2FClasslikes%2F-597741372" anchor-label="Piecewise" id="1485823131%2FClasslikes%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">
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<div class=""><span class="inline-flex"><a href="-piecewise/index.html">Piecewise</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1485823131%2FClasslikes%2F-597741372"></span>
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<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>
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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">fun fun interface <a href="-piecewise/index.html">Piecewise</a>&lt;in <a href="-piecewise/index.html">T</a>, out <a href="-piecewise/index.html">R</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>
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<a data-name="1485823131%2FClasslikes%2F-597741372" anchor-label="Piecewise" id="1485823131%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="1485823131%2FClasslikes%2F-597741372" anchor-label="Piecewise" id="1485823131%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Represents piecewise-defined function.</div></div>
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<a data-name="-115151508%2FClasslikes%2F-597741372" anchor-label="PiecewiseBuilder" id="-115151508%2FClasslikes%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">
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<div class=""><span class="inline-flex"><a href="-piecewise-builder/index.html">PiecewiseBuilder</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-115151508%2FClasslikes%2F-597741372"></span>
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<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>
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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">class <a href="-piecewise-builder/index.html">PiecewiseBuilder</a>&lt;<a href="-piecewise-builder/index.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="-piecewise-builder/index.html">T</a>&gt;&gt;(delimiter: <a href="-piecewise-builder/index.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>
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<a data-name="-115151508%2FClasslikes%2F-597741372" anchor-label="PiecewiseBuilder" id="-115151508%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-115151508%2FClasslikes%2F-597741372" anchor-label="PiecewiseBuilder" id="-115151508%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>A <a href="-piecewise/index.html">Piecewise</a> builder where all the pieces are ordered by the <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a> type instances.</div></div>
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<a data-name="-1477376089%2FClasslikes%2F-597741372" anchor-label="PiecewisePolynomial" id="-1477376089%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="-piecewise-polynomial/index.html">PiecewisePolynomial</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1477376089%2FClasslikes%2F-597741372"></span>
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<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>
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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">interface <a href="-piecewise-polynomial/index.html">PiecewisePolynomial</a>&lt;<a href="-piecewise-polynomial/index.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="-piecewise-polynomial/index.html">T</a>&gt;&gt; : <a href="-piecewise/index.html">Piecewise</a>&lt;<a href="-piecewise-polynomial/index.html">T</a>, <a href="-polynomial/index.html">Polynomial</a>&lt;<a href="-piecewise-polynomial/index.html">T</a>&gt;&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>
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<a data-name="-1477376089%2FClasslikes%2F-597741372" anchor-label="PiecewisePolynomial" id="-1477376089%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-1477376089%2FClasslikes%2F-597741372" anchor-label="PiecewisePolynomial" id="-1477376089%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Represents piecewise-defined function where all the sub-functions are polynomials.</div></div>
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<a data-name="1242143393%2FClasslikes%2F-597741372" anchor-label="Polynomial" id="1242143393%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="-polynomial/index.html">Polynomial</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1242143393%2FClasslikes%2F-597741372"></span>
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<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>
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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">class <a href="-polynomial/index.html">Polynomial</a>&lt;out <a href="-polynomial/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="-polynomial/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></div>
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<a data-name="1242143393%2FClasslikes%2F-597741372" anchor-label="Polynomial" id="1242143393%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="1242143393%2FClasslikes%2F-597741372" anchor-label="Polynomial" id="1242143393%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Polynomial coefficients model without fixation on specific context they are applied to.</div></div>
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<a data-name="-1928395365%2FClasslikes%2F-597741372" anchor-label="PolynomialSpace" id="-1928395365%2FClasslikes%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">
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<div class=""><span class="inline-flex"><a href="-polynomial-space/index.html">PolynomialSpace</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1928395365%2FClasslikes%2F-597741372"></span>
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<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>
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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">class <a href="-polynomial-space/index.html">PolynomialSpace</a>&lt;<a href="-polynomial-space/index.html">T</a>, <a href="-polynomial-space/index.html">C</a> : <a href="../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a>&lt;<a href="-polynomial-space/index.html">T</a>&gt;, <a href="../../kmath-core/space.kscience.kmath.operations/-scale-operations/index.html">ScaleOperations</a>&lt;<a href="-polynomial-space/index.html">T</a>&gt;&gt;(ring: <a href="-polynomial-space/index.html">C</a>) : <a href="../../kmath-core/space.kscience.kmath.operations/-group/index.html">Group</a>&lt;<a href="-polynomial/index.html">Polynomial</a>&lt;<a href="-polynomial-space/index.html">T</a>&gt;&gt; , <a href="../../kmath-core/space.kscience.kmath.operations/-scale-operations/index.html">ScaleOperations</a>&lt;<a href="-polynomial/index.html">Polynomial</a>&lt;<a href="-polynomial-space/index.html">T</a>&gt;&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>
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<a data-name="-1928395365%2FClasslikes%2F-597741372" anchor-label="PolynomialSpace" id="-1928395365%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-1928395365%2FClasslikes%2F-597741372" anchor-label="PolynomialSpace" id="-1928395365%2FClasslikes%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Space of polynomials.</div></div>
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<a data-name="-1946783811%2FClasslikes%2F-597741372" anchor-label="UnivariateFunction" id="-1946783811%2FClasslikes%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="index.html#-1946783811%2FClasslikes%2F-597741372">UnivariateFunction</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1946783811%2FClasslikes%2F-597741372"></span>
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<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>
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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">typealias <a href="index.html#-1946783811%2FClasslikes%2F-597741372">UnivariateFunction</a>&lt;<a href="index.html#-1946783811%2FClasslikes%2F-597741372">T</a>&gt; = (<a href="index.html#-1946783811%2FClasslikes%2F-597741372">T</a>) -&gt; <a href="index.html#-1946783811%2FClasslikes%2F-597741372">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>
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<h2 class="">Functions</h2>
<div class="table" data-togglable="Functions"><a data-name="1645577743%2FFunctions%2F-597741372" anchor-label="asFunction" id="1645577743%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">
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<div class=""><span class="inline-flex"><a href="as-function.html">asFunction</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1645577743%2FFunctions%2F-597741372"></span>
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<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>
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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">fun &lt;<a href="as-function.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="as-function.html">T</a>&gt;, <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="-piecewise-polynomial/index.html">PiecewisePolynomial</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>
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<a data-name="1006097815%2FFunctions%2F-597741372" anchor-label="asFunction" id="1006097815%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="1006097815%2FFunctions%2F-597741372" anchor-label="asFunction" id="1006097815%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Convert this polynomial to a function returning nullable value (null if argument is outside piecewise range).</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>
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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">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="-polynomial/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>
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<a data-name="623091503%2FFunctions%2F-597741372" anchor-label="asFunction" id="623091503%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="623091503%2FFunctions%2F-597741372" anchor-label="asFunction" id="623091503%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Represent the polynomial as a regular context-less function.</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="as-function.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="as-function.html">T</a>&gt;, <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="-piecewise-polynomial/index.html">PiecewisePolynomial</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>, defaultValue: <a href="as-function.html">T</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="-2132205855%2FFunctions%2F-597741372" anchor-label="asFunction" id="-2132205855%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-2132205855%2FFunctions%2F-597741372" anchor-label="asFunction" id="-2132205855%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Convert this polynomial to a function using <a href="as-function.html">defaultValue</a> for arguments outside the piecewise range.</div></div>
</div>
</div>
</div>
</div>
<a data-name="-920703650%2FFunctions%2F-597741372" anchor-label="differentiate" id="-920703650%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="differentiate.html">differentiate</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-920703650%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"><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="-polynomial/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="-polynomial/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%2FFunctions%2F-597741372" anchor-label="differentiate" id="-920703650%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-920703650%2FFunctions%2F-597741372" anchor-label="differentiate" id="-920703650%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Create a polynomial witch represents differentiated version of this polynomial</div></div>
</div>
</div>
</div>
</div>
<a data-name="458363129%2FFunctions%2F-597741372" anchor-label="integrate" id="458363129%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="integrate.html">integrate</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="458363129%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"><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="-polynomial/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="-polynomial/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%2FFunctions%2F-597741372" anchor-label="integrate" id="432758595%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="432758595%2FFunctions%2F-597741372" anchor-label="integrate" id="432758595%2FFunctions%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="-polynomial/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%2FFunctions%2F-597741372" anchor-label="integrate" id="397399042%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="397399042%2FFunctions%2F-597741372" anchor-label="integrate" id="397399042%2FFunctions%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="291607538%2FFunctions%2F-597741372" anchor-label="PiecewisePolynomial" id="291607538%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="-piecewise-polynomial.html">PiecewisePolynomial</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="291607538%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"><div class="block"><div class="block">@<a href="../../kmath-core/space.kscience.kmath.misc/-performance-pitfall/index.html">PerformancePitfall</a>(<span>message = <span class="breakable-word">findPiece method of resulting piecewise is slow</span></span><wbr>)</div></div>fun &lt;<a href="-piecewise-polynomial.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="-piecewise-polynomial.html">T</a>&gt;&gt; <a href="-piecewise-polynomial.html">PiecewisePolynomial</a>(pieces: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.collections/-collection/index.html">Collection</a>&lt;<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-pair/index.html">Pair</a>&lt;<a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin.ranges/-closed-range/index.html">ClosedRange</a>&lt;<a href="-piecewise-polynomial.html">T</a>&gt;, <a href="-polynomial/index.html">Polynomial</a>&lt;<a href="-piecewise-polynomial.html">T</a>&gt;&gt;&gt;): <a href="-piecewise-polynomial/index.html">PiecewisePolynomial</a>&lt;<a href="-piecewise-polynomial.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="1913465412%2FFunctions%2F-597741372" anchor-label="PiecewisePolynomial" id="1913465412%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="1913465412%2FFunctions%2F-597741372" anchor-label="PiecewisePolynomial" id="1913465412%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>A generic piecewise without constraints on how pieces are placed</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="-piecewise-polynomial.html">T</a> : <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="-piecewise-polynomial.html">T</a>&gt;&gt; <a href="-piecewise-polynomial.html">PiecewisePolynomial</a>(startingPoint: <a href="-piecewise-polynomial.html">T</a>, builder: <a href="-piecewise-builder/index.html">PiecewiseBuilder</a>&lt;<a href="-piecewise-polynomial.html">T</a>&gt;.() -&gt; <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-unit/index.html">Unit</a>): <a href="-piecewise-polynomial/index.html">PiecewisePolynomial</a>&lt;<a href="-piecewise-polynomial.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="197360158%2FFunctions%2F-597741372" anchor-label="PiecewisePolynomial" id="197360158%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="197360158%2FFunctions%2F-597741372" anchor-label="PiecewisePolynomial" id="197360158%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>A builder for <a href="-piecewise-polynomial/index.html">PiecewisePolynomial</a></div></div>
</div>
</div>
</div>
</div>
<a data-name="-809463075%2FFunctions%2F-597741372" anchor-label="Polynomial" id="-809463075%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="polynomial.html">Polynomial</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-809463075%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">inline fun &lt;<a href="polynomial.html">T</a>, <a href="polynomial.html">C</a> : <a href="../../kmath-core/space.kscience.kmath.operations/-ring/index.html">Ring</a>&lt;<a href="polynomial.html">T</a>&gt;, <a href="../../kmath-core/space.kscience.kmath.operations/-scale-operations/index.html">ScaleOperations</a>&lt;<a href="polynomial.html">T</a>&gt;, <a href="polynomial.html">R</a>&gt; <a href="polynomial.html">C</a>.<a href="polynomial.html">polynomial</a>(block: <a href="-polynomial-space/index.html">PolynomialSpace</a>&lt;<a href="polynomial.html">T</a>, <a href="polynomial.html">C</a>&gt;.() -&gt; <a href="polynomial.html">R</a>): <a href="polynomial.html">R</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>
</div>
</div>
</div>
</div>
</div>
<a data-name="1974867531%2FFunctions%2F-597741372" anchor-label="value" id="1974867531%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="value.html">value</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1974867531%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">fun <a href="-polynomial/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%2FFunctions%2F-597741372" anchor-label="value" id="-1070541254%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-1070541254%2FFunctions%2F-597741372" anchor-label="value" id="-1070541254%2FFunctions%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="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-comparable/index.html">Comparable</a>&lt;<a href="value.html">T</a>&gt;, <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="-piecewise-polynomial/index.html">PiecewisePolynomial</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="319599680%2FFunctions%2F-597741372" anchor-label="value" id="319599680%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="319599680%2FFunctions%2F-597741372" anchor-label="value" id="319599680%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Return a value of polynomial function with given <a href="value.html">ring</a> a given <a href="value.html">arg</a> or null if argument is outside piecewise definition.</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="-polynomial/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%2FFunctions%2F-597741372" anchor-label="value" id="1252739599%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="1252739599%2FFunctions%2F-597741372" anchor-label="value" id="1252739599%2FFunctions%2F-597741372" data-filterable-set=":kmath-functions:dokkaHtmlPartial/commonMain"></a>Evaluates the value of the given polynomial for given argument.</div></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
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