kmath/kmath-core/space.kscience.kmath.operations/-algebra/index.html

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<title>Algebra</title>
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<div class="breadcrumbs"><a href="../../index.html">kmath-core</a>/<a href="../index.html">space.kscience.kmath.operations</a>/<a href="index.html">Algebra</a></div>
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<h1 class="cover"><span>Algebra</span></h1>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">interface <a href="index.html">Algebra</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">Represents an algebraic structure.</p></div></div>
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<div class="tabs-section" tabs-section="tabs-section"><button class="section-tab" data-active="" data-togglable="Functions">Functions</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><button class="section-tab" data-togglable="Inheritors">Inheritors</button></div>
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<h2 class="">Parameters</h2>
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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-core:dokkaHtmlPartial/commonMain"><div data-togglable="Parameters"><div class="table" data-togglable="Parameters"><div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue WithExtraAttributes"><div class=""><span class="inline-flex">T</span></div><div><div class="title"><div data-togglable="Parameters"><p class="paragraph">the type of element of this structure.</p></div></div></div></div></div></div></div></div></div>
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<h2 class="">Functions</h2>
<div class="table" data-togglable="Functions"><a data-name="-312814967%2FFunctions%2F244675578" anchor-label="binaryOperation" id="-312814967%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="binary-operation.html">binaryOperation</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-312814967%2FFunctions%2F244675578"></span>
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<div class="platform-tags ">
<div class="platform-tag common-like">common</div>
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<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open fun <a href="binary-operation.html">binaryOperation</a>(operation: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a>, left: <a href="index.html">T</a>, right: <a href="index.html">T</a>): <a href="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="-312814967%2FFunctions%2F244675578" anchor-label="binaryOperation" id="-312814967%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-312814967%2FFunctions%2F244675578" anchor-label="binaryOperation" id="-312814967%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>Dynamically invokes a binary operation with the certain name.</div></div>
</div>
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<a data-name="2100605251%2FFunctions%2F244675578" anchor-label="binaryOperationFunction" id="2100605251%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="binary-operation-function.html">binaryOperationFunction</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="2100605251%2FFunctions%2F244675578"></span>
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<div class="platform-tags ">
<div class="platform-tag common-like">common</div>
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<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open fun <a href="binary-operation-function.html">binaryOperationFunction</a>(operation: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a>): (<a href="index.html">T</a>, <a href="index.html">T</a>) -&gt; <a href="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="2100605251%2FFunctions%2F244675578" anchor-label="binaryOperationFunction" id="2100605251%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="2100605251%2FFunctions%2F244675578" anchor-label="binaryOperationFunction" id="2100605251%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>Dynamically dispatches a binary operation with the certain name.</div></div>
</div>
</div>
</div>
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<a data-name="-1727912674%2FFunctions%2F244675578" anchor-label="bindSymbol" id="-1727912674%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="bind-symbol.html">bindSymbol</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1727912674%2FFunctions%2F244675578"></span>
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<div class="platform-tags ">
<div class="platform-tag common-like">common</div>
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<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open fun <a href="bind-symbol.html">bindSymbol</a>(value: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a>): <a href="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="-1727912674%2FFunctions%2F244675578" anchor-label="bindSymbol" id="-1727912674%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="-1727912674%2FFunctions%2F244675578" anchor-label="bindSymbol" id="-1727912674%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>The same as <a href="bind-symbol-or-null.html">bindSymbolOrNull</a> but throws an error if symbol could not be bound</div></div>
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<a data-name="915741320%2FFunctions%2F244675578" anchor-label="bindSymbolOrNull" id="915741320%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="bind-symbol-or-null.html">bindSymbolOrNull</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="915741320%2FFunctions%2F244675578"></span>
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<div class="platform-tags ">
<div class="platform-tag common-like">common</div>
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<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open fun <a href="bind-symbol-or-null.html">bindSymbolOrNull</a>(value: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a>): <a href="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="915741320%2FFunctions%2F244675578" anchor-label="bindSymbolOrNull" id="915741320%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="915741320%2FFunctions%2F244675578" anchor-label="bindSymbolOrNull" id="915741320%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>Wraps a raw string to <a href="index.html">T</a> object.</div></div>
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<a data-name="976247360%2FFunctions%2F244675578" anchor-label="unaryOperation" id="976247360%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="unary-operation.html">unaryOperation</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="976247360%2FFunctions%2F244675578"></span>
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</span></span></div>
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<div class="platform-tags ">
<div class="platform-tag common-like">common</div>
</div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open fun <a href="unary-operation.html">unaryOperation</a>(operation: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a>, arg: <a href="index.html">T</a>): <a href="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="976247360%2FFunctions%2F244675578" anchor-label="unaryOperation" id="976247360%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="976247360%2FFunctions%2F244675578" anchor-label="unaryOperation" id="976247360%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>Dynamically invokes a unary operation with the certain name.</div></div>
</div>
</div>
</div>
</div>
<a data-name="577358489%2FFunctions%2F244675578" anchor-label="unaryOperationFunction" id="577358489%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="unary-operation-function.html">unaryOperationFunction</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="577358489%2FFunctions%2F244675578"></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="platform-tags ">
<div class="platform-tag common-like">common</div>
</div>
<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">open fun <a href="unary-operation-function.html">unaryOperationFunction</a>(operation: <a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-string/index.html">String</a>): (<a href="index.html">T</a>) -&gt; <a href="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>
</div>
<a data-name="577358489%2FFunctions%2F244675578" anchor-label="unaryOperationFunction" id="577358489%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="577358489%2FFunctions%2F244675578" anchor-label="unaryOperationFunction" id="577358489%2FFunctions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>Dynamically dispatches a unary operation with the certain name.</div></div>
</div>
</div>
</div>
</div>
</div>
<h2 class="">Inheritors</h2>
<div class="table" data-togglable="Inheritors"><a data-name="-56876483%2FInheritors%2F244675578" anchor-label="ExpressionAlgebra" id="-56876483%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="../../space.kscience.kmath.expressions/-expression-algebra/index.html">ExpressionAlgebra</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-56876483%2FInheritors%2F244675578"></span>
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<a data-name="-415612925%2FInheritors%2F244675578" anchor-label="GroupOps" id="-415612925%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
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<div class=""><span class="inline-flex"><a href="../-group-ops/index.html">GroupOps</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-415612925%2FInheritors%2F244675578"></span>
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<a data-name="-1454833308%2FInheritors%2F244675578" anchor-label="BufferAlgebra" id="-1454833308%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="../-buffer-algebra/index.html">BufferAlgebra</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1454833308%2FInheritors%2F244675578"></span>
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<a data-name="-73660628%2FInheritors%2F244675578" anchor-label="LogicAlgebra" id="-73660628%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="../-logic-algebra/index.html">LogicAlgebra</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-73660628%2FInheritors%2F244675578"></span>
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<a data-name="1806918043%2FInheritors%2F244675578" anchor-label="NumericAlgebra" id="1806918043%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex"><a href="../-numeric-algebra/index.html">NumericAlgebra</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1806918043%2FInheritors%2F244675578"></span>
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<a data-name="-92422058%2FInheritors%2F244675578" anchor-label="ScaleOperations" id="-92422058%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain">
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<div class=""><span class="inline-flex"><a href="../-scale-operations/index.html">ScaleOperations</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-92422058%2FInheritors%2F244675578"></span>
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<a data-name="-1864210212%2FInheritors%2F244675578" anchor-label="TrigonometricOperations" id="-1864210212%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="../-trigonometric-operations/index.html">TrigonometricOperations</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1864210212%2FInheritors%2F244675578"></span>
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<a data-name="468192955%2FInheritors%2F244675578" anchor-label="PowerOperations" id="468192955%2FInheritors%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<h2 class="tabbedcontent">Extensions</h2>
<div class="table" data-togglable="Extensions"><a data-name="-791965163%2FExtensions%2F244675578" anchor-label="bindSymbol" id="-791965163%2FExtensions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div class="platform-tags ">
<div class="platform-tag common-like">common</div>
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<div class="title"><div class="divergent-group" data-filterable-current=":kmath-core:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-core: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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun &lt;<a href="../bind-symbol.html">T</a>&gt; <a href="index.html">Algebra</a>&lt;<a href="../bind-symbol.html">T</a>&gt;.<a href="../bind-symbol.html">bindSymbol</a>(symbol: <a href="../../space.kscience.kmath.expressions/-symbol/index.html">Symbol</a>): <a href="../bind-symbol.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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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun &lt;<a href="../bind-symbol-or-null.html">T</a>&gt; <a href="index.html">Algebra</a>&lt;<a href="../bind-symbol-or-null.html">T</a>&gt;.<a href="../bind-symbol-or-null.html">bindSymbolOrNull</a>(symbol: <a href="../../space.kscience.kmath.expressions/-symbol/index.html">Symbol</a>): <a href="../bind-symbol-or-null.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="830188612%2FExtensions%2F244675578" anchor-label="evaluate" id="830188612%2FExtensions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex"><a href="../../space.kscience.kmath.expressions/evaluate.html">evaluate</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="830188612%2FExtensions%2F244675578"></span>
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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-core:dokkaHtmlPartial/commonMain"><div class="symbol monospace">fun &lt;<a href="../../space.kscience.kmath.expressions/evaluate.html">T</a>&gt; <a href="index.html">Algebra</a>&lt;<a href="../../space.kscience.kmath.expressions/evaluate.html">T</a>&gt;.<a href="../../space.kscience.kmath.expressions/evaluate.html">evaluate</a>(node: <a href="../../space.kscience.kmath.expressions/-m-s-t/index.html">MST</a>): <a href="../../space.kscience.kmath.expressions/evaluate.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="830188612%2FExtensions%2F244675578" anchor-label="evaluate" id="830188612%2FExtensions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a><div class="brief "><a data-name="830188612%2FExtensions%2F244675578" anchor-label="evaluate" id="830188612%2FExtensions%2F244675578" data-filterable-set=":kmath-core:dokkaHtmlPartial/commonMain"></a>Interprets the <a href="../../space.kscience.kmath.expressions/-m-s-t/index.html">MST</a> node with this <a href="index.html">Algebra</a>.</div></div>
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<h2 class="">Sources</h2>
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<div class=""><span class="inline-flex"><a href="https://github.com/mipt-npm/kmath/tree/master/kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/Algebra.kt#L16">common source</a><span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1054113468%2FSource%2F244675578"></span>
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