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<div class="breadcrumbs"><a href="../../index.html">kmath-tensors</a><span class="delimiter">/</span><a href="../index.html">space.kscience.kmath.tensors.api</a><span class="delimiter">/</span><span class="current">TensorPartialDivisionAlgebra</span></div>
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<h1 class="cover"><span>Tensor</span><wbr><span>Partial</span><wbr><span>Division</span><wbr><span><span>Algebra</span></span></h1>
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">interface </span><a href="index.html">TensorPartialDivisionAlgebra</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="index.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">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token operator">&gt;</span> : <a href="../-tensor-algebra/index.html">TensorAlgebra</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="index.html">A</a><span class="token operator">&gt; </span>, <a href="../../../kmath-core/space.kscience.kmath.nd/-field-ops-n-d/index.html">FieldOpsND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="index.html">A</a><span class="token operator">&gt; </span><span class="clearfix"><span class="floating-right">(<a href="https://github.com/SciProgCentre/kmath/tree/master/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/TensorPartialDivisionAlgebra.kt#L18">source</a>)</span></span></div><p class="paragraph">Algebra over a field with partial division on <a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a>. For more information: https://proofwiki.org/wiki/Definition:Division_Algebra</p><h4 class="">Parameters</h4><div class="table"><div class="table-row" data-filterable-current=":kmath-tensors:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue "><div class=""><span class="inline-flex"><div><u><span><span>T</span></span></u></div></span></div><div><div class="title"><p class="paragraph">the type of items closed under division in the tensors.</p></div></div></div></div></div><h4 class="">Inheritors</h4><div class="table"><div class="table-row" data-filterable-current=":kmath-tensors:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue "><div class=""><span class="inline-flex"><div><a href="../-analytic-tensor-algebra/index.html">AnalyticTensorAlgebra</a></div></span></div><div></div></div></div><div class="table-row" data-filterable-current=":kmath-tensors:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="main-subrow keyValue "><div class=""><span class="inline-flex"><div><a href="../-linear-ops-tensor-algebra/index.html">LinearOpsTensorAlgebra</a></div></span></div><div></div></div></div></div></div></div>
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<a data-name="-1727912674%2FFunctions%2F-1345790395" anchor-label="bindSymbol" id="-1727912674%2FFunctions%2F-1345790395" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"></a>
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<div><a href="../../space.kscience.kmath.tensors.core/-int-tensor-algebra/-companion/index.html#-1727912674%2FFunctions%2F-1345790395"><span>bind</span><wbr><span><span>Symbol</span></span></a></div>
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<div><a href="../../space.kscience.kmath.tensors.core/-int-tensor-algebra/-companion/index.html#915741320%2FFunctions%2F-1345790395"><span>bind</span><wbr><span>Symbol</span><wbr><span>Or</span><wbr><span><span>Null</span></span></a></div>
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<a data-name="2067347244%2FFunctions%2F-1345790395" anchor-label="diagonalEmbedding" id="2067347244%2FFunctions%2F-1345790395" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-tensors:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain">
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<div><a href="../-tensor-algebra/diagonal-embedding.html"><span>diagonal</span><wbr><span><span>Embedding</span></span></a></div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">open </span><span class="token keyword">operator </span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="index.html#208644145%2FExtensions%2F-1345790395"><span class="token function">div</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">k<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-number/index.html">Number</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><br><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator override </span><span class="token keyword">fun </span><a href="index.html">T</a><span class="token punctuation">.</span><a href="div.html"><span class="token function">div</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Each element of the tensor <a href="div.html">arg</a> is divided by this value. The resulting tensor is returned.</p></div><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator override </span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="div.html"><span class="token function">div</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="index.html">T</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Divide by the scalar <a href="div.html">arg</a> each element of this tensor returns a new resulting tensor.</p></div><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator override </span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="div.html"><span class="token function">div</span></a><span class="tok
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<div><a href="divide.html"><span><span>divide</span></span></a></div>
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<a data-name="-667219631%2FFunctions%2F-1345790395" anchor-label="getTensor" id="-667219631%2FFunctions%2F-1345790395" data-filterable-set=":kmath-tensors:dokkaHtmlPartial/commonMain"></a>
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<div><a href="../-tensor-algebra/get-tensor.html"><span>get</span><wbr><span><span>Tensor</span></span></a></div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">open </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="index.html#1700839860%2FExtensions%2F-1345790395"><span class="token function">mapIndexed</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">transform<span class="token operator">: </span><span class="token keyword"></span><a href="index.html">A</a><span class="token punctuation">.</span><span class="token punctuation">(</span><span class="token keyword"></span>index<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int-array/index.html">IntArray</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="index.html">T</a><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="index.html">T</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div></div></div>
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<div><a href="../-tensor-algebra/max.html"><span><span>max</span></span></a></div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/max.html"><span class="token function">max</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><a href="index.html">T</a><span class="token operator">?</span></div><div class="brief "><p class="paragraph">Returns the maximum value of all elements in the input tensor or null if there are no values</p></div><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/max.html"><span class="token function">max</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">dim<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a><span class="token punctuation">, </span></span><span class="parameter ">keepDim<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-boolean/index.html">Boolean</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Returns the maximum value of each row of the input tensor in the given dimension <a href="../-tensor-algebra/max.html">dim</a>.</p></div></div></div>
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<div><a href="../-tensor-algebra/min.html"><span><span>min</span></span></a></div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/min.html"><span class="token function">min</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><a href="index.html">T</a><span class="token operator">?</span></div><br><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword"></span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/min.html"><span class="token function">min</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">dim<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a><span class="token punctuation">, </span></span><span class="parameter ">keepDim<span class="token operator">: </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-boolean/index.html">Boolean</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Returns the minimum value of each row of the input tensor in the given dimension <a href="../-tensor-algebra/min.html">dim</a>.</p></div></div></div>
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<div><a href="../-tensor-algebra/minus.html"><span><span>minus</span></span></a></div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator override </span><span class="token keyword">fun </span><a href="index.html">T</a><span class="token punctuation">.</span><a href="../-tensor-algebra/minus.html"><span class="token function">minus</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Each element of the tensor <a href="../-tensor-algebra/minus.html">arg</a> is subtracted from this value. The resulting tensor is returned.</p></div><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator override </span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/minus.html"><span class="token function">minus</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="index.html">T</a></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Subtracts the scalar <a href="../-tensor-algebra/minus.html">arg</a> from each element of this tensor and returns a new resulting tensor.</p></div><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator override </span><span class="token keyword">fun </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/minus.html"><span class="token function">minus</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></span></span><span class="token punctuation">)</span><span class="token operator">: </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></div><div class="brief "><p class="paragraph">Each element of the tensor <a href="../-tensor-algebra/minus.html">arg</a> is subtracted from each element of this tensor. The resulting tensor is returned.</p></div></div></div>
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<div class="main-subrow keyValue ">
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<div><a href="../-tensor-algebra/minus-assign.html"><span>minus</span><wbr><span><span>Assign</span></span></a></div>
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<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-dependent-content" data-active="" data-togglable=":kmath-tensors:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator </span><span class="token keyword">fun </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/minus-assign.html"><span class="token function">minusAssign</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">value<span class="token operator">: </span><a href="index.html">T</a></span></span><span class="token punctuation">)</span></div><div class="brief "><p class="paragraph">Subtracts the scalar <a href="../-tensor-algebra/minus-assign.html">value</a> from each element of this tensor.</p></div><div class="symbol monospace"><span class="token keyword">abstract </span><span class="token keyword">operator </span><span class="token keyword">fun </span><a href="../index.html#-1680022905%2FClasslikes%2F-1345790395">Tensor</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span><span class="token punctuation">.</span><a href="../-tensor-algebra/minus-assign.html"><span class="token function">minusAssign</span></a><span class="token punctuation">(</span><span class="parameters "><span class="parameter ">arg<span class="token operator">: </span><a href="../../../kmath-core/space.kscience.kmath.nd/-structure-n-d/index.html">StructureND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="index.html">T</a><span class="token operator">&gt;</span></span></span><span class="token punctuation">)</span></div><div class="brief "><p class="paragraph">Each element of the tensor <a href="../-tensor-algebra/minus-assign.html">arg</a> is subtracted from each element of this tensor.</p></div></div></div>
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<div><a href="../-tensor-algebra/multiply.html"><span><span>multiply</span></span></a></div>
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