kmath/kmath-complex/space.kscience.kmath.complex/index.html

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<h1 class="cover"><span><span>Package</span></span> <span>space.</span><wbr><span>kscience.</span><wbr><span>kmath.</span><wbr><span>complex</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><button class="section-tab" data-togglable="Properties">Properties</button></div>
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<h2 class="">Types</h2>
<div class="table" data-togglable="Types"><a data-name="-552440632%2FClasslikes%2F-1704498033" anchor-label="Complex" id="-552440632%2FClasslikes%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="-complex/index.html"><span><span>Complex</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-552440632%2FClasslikes%2F-1704498033"></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-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">data </span><span class="token keyword">class </span><a href="-complex/index.html">Complex</a><span class="token punctuation">(</span>re<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>im<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="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">Represents <code class="lang-kotlin">double</code>-based complex number.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="345431648%2FClasslikes%2F-1704498033" anchor-label="ComplexField" id="345431648%2FClasslikes%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="-complex-field/index.html"><span>Complex</span><wbr><span><span>Field</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="345431648%2FClasslikes%2F-1704498033"></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-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">object </span><a href="-complex-field/index.html">ComplexField</a> : <a href="../../kmath-core/space.kscience.kmath.operations/-extended-field/index.html">ExtendedField</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-norm/index.html">Norm</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-numbers-add-ops/index.html">NumbersAddOps</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-scale-operations/index.html">ScaleOperations</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token operator">&gt; </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">A field of <a href="-complex/index.html">Complex</a>.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="268615082%2FClasslikes%2F-1704498033" anchor-label="ComplexFieldND" id="268615082%2FClasslikes%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="-complex-field-n-d/index.html"><span>Complex</span><wbr><span>Field</span><wbr><span><span>ND</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="268615082%2FClasslikes%2F-1704498033"></span>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">class </span><a href="-complex-field-n-d/index.html">ComplexFieldND</a><span class="token punctuation">(</span>shape<span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.nd/-shape/index.html">Shape</a><span class="token punctuation">)</span> : <a href="-complex-field-ops-n-d/index.html">ComplexFieldOpsND</a>, <a href="../../kmath-core/space.kscience.kmath.nd/-field-n-d/index.html">FieldND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="-complex-field/index.html">ComplexField</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-numbers-add-ops/index.html">NumbersAddOps</a><span class="token operator">&lt;</span><span class="token keyword"></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="-complex/index.html">Complex</a><span class="token operator">&gt;</span><span class="token operator">&gt; </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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<a data-name="-392757094%2FClasslikes%2F-1704498033" anchor-label="ComplexFieldOpsND" id="-392757094%2FClasslikes%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="-complex-field-ops-n-d/index.html"><span>Complex</span><wbr><span>Field</span><wbr><span>Ops</span><wbr><span><span>ND</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-392757094%2FClasslikes%2F-1704498033"></span>
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<div>
<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">sealed </span><span class="token keyword">class </span><a href="-complex-field-ops-n-d/index.html">ComplexFieldOpsND</a> : <a href="../../kmath-core/space.kscience.kmath.nd/-buffered-field-ops-n-d/index.html">BufferedFieldOpsND</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="-complex-field/index.html">ComplexField</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-scale-operations/index.html">ScaleOperations</a><span class="token operator">&lt;</span><span class="token keyword"></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="-complex/index.html">Complex</a><span class="token operator">&gt;</span><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-extended-field-ops/index.html">ExtendedFieldOps</a><span class="token operator">&lt;</span><span class="token keyword"></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="-complex/index.html">Complex</a><span class="token operator">&gt;</span><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-power-operations/index.html">PowerOperations</a><span class="token operator">&lt;</span><span class="token keyword"></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="-complex/index.html">Complex</a><span class="token operator">&gt;</span><span class="token operator">&gt; </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">An optimized nd-field for complex numbers</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="735099436%2FClasslikes%2F-1704498033" anchor-label="Quaternion" id="735099436%2FClasslikes%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="-quaternion/index.html"><span><span>Quaternion</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="735099436%2FClasslikes%2F-1704498033"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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<div>
<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">data </span><span class="token keyword">class </span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">(</span>w<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>x<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>y<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>z<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="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">Represents <code class="lang-kotlin">double</code>-based quaternion.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="509955964%2FClasslikes%2F-1704498033" anchor-label="QuaternionField" id="509955964%2FClasslikes%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="-quaternion-field/index.html"><span>Quaternion</span><wbr><span><span>Field</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="509955964%2FClasslikes%2F-1704498033"></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="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">object </span><a href="-quaternion-field/index.html">QuaternionField</a> : <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="-quaternion/index.html">Quaternion</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-norm/index.html">Norm</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-power-operations/index.html">PowerOperations</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-exponential-operations/index.html">ExponentialOperations</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-numbers-add-ops/index.html">NumbersAddOps</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt; </span>, <a href="../../kmath-core/space.kscience.kmath.operations/-scale-operations/index.html">ScaleOperations</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt; </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">A field of <a href="-quaternion/index.html">Quaternion</a>.</p></div></div></div>
</div>
</div>
</div>
</div>
</div>
<h2 class="">Functions</h2>
<div class="table" data-togglable="Functions"><a data-name="-417922280%2FFunctions%2F-1704498033" anchor-label="complex" id="-417922280%2FFunctions%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="complex.html"><span><span>complex</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-417922280%2FFunctions%2F-1704498033"></span>
<div class="copy-popup-wrapper "><span class="copy-popup-icon"></span><span>Link copied to clipboard</span></div>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">inline </span><span class="token keyword">fun </span><a href="../../kmath-core/space.kscience.kmath.structures/-buffer/-companion/index.html">Buffer.Companion</a><span class="token punctuation">.</span><a href="complex.html"><span class="token function">complex</span></a><span class="token punctuation">(</span>size<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>init<span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.structures/-buffer/index.html">Buffer</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token operator">&gt;</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="symbol monospace"><span class="token keyword">inline </span><span class="token keyword">fun </span><a href="../../kmath-core/space.kscience.kmath.structures/-mutable-buffer/-companion/index.html">MutableBuffer.Companion</a><span class="token punctuation">.</span><a href="complex.html"><span class="token function">complex</span></a><span class="token punctuation">(</span>size<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>init<span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.structures/-mutable-buffer/index.html">MutableBuffer</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token operator">&gt;</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">Creates a new buffer of complex numbers with the specified <a href="complex.html">size</a>, where each element is calculated by calling the specified <a href="complex.html">init</a> function.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="761980754%2FFunctions%2F-1704498033" anchor-label="ndAlgebra" id="761980754%2FFunctions%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="nd-algebra.html"><span>nd</span><wbr><span><span>Algebra</span></span></a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="761980754%2FFunctions%2F-1704498033"></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="platform-hinted " data-platform-hinted="data-platform-hinted"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><a href="-complex-field/index.html">ComplexField</a><span class="token punctuation">.</span><a href="nd-algebra.html"><span class="token function">ndAlgebra</span></a><span class="token punctuation">(</span><span class="token keyword">vararg </span>shape<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 class="token operator">: </span><a href="-complex-field-n-d/index.html">ComplexFieldND</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>
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</div>
<a data-name="936717124%2FFunctions%2F-1704498033" anchor-label="quaternion" id="936717124%2FFunctions%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="quaternion.html"><span><span>quaternion</span></span></a></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-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">inline </span><span class="token keyword">fun </span><a href="../../kmath-core/space.kscience.kmath.structures/-buffer/-companion/index.html">Buffer.Companion</a><span class="token punctuation">.</span><a href="quaternion.html"><span class="token function">quaternion</span></a><span class="token punctuation">(</span>size<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>init<span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.structures/-buffer/index.html">Buffer</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt;</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="symbol monospace"><span class="token keyword">inline </span><span class="token keyword">fun </span><a href="../../kmath-core/space.kscience.kmath.structures/-mutable-buffer/-companion/index.html">MutableBuffer.Companion</a><span class="token punctuation">.</span><a href="quaternion.html"><span class="token function">quaternion</span></a><span class="token punctuation">(</span>size<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>init<span class="token operator">: </span><span class="token punctuation">(</span><span class="token keyword"></span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-int/index.html">Int</a><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.structures/-mutable-buffer/index.html">MutableBuffer</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-quaternion/index.html">Quaternion</a><span class="token operator">&gt;</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">Creates a new buffer of quaternions with the specified <a href="quaternion.html">size</a>, where each element is calculated by calling the specified <a href="quaternion.html">init</a> function.</p></div></div></div>
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<a data-name="-1024800318%2FFunctions%2F-1704498033" anchor-label="toComplex" id="-1024800318%2FFunctions%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div><a href="to-complex.html"><span>to</span><wbr><span><span>Complex</span></span></a></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-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-number/index.html">Number</a><span class="token punctuation">.</span><a href="to-complex.html"><span class="token function">toComplex</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><a href="-complex/index.html">Complex</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">Creates a complex number with real part equal to this real.</p></div></div></div>
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<a data-name="1242853276%2FFunctions%2F-1704498033" anchor-label="toQuaternion" id="1242853276%2FFunctions%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div><a href="to-quaternion.html"><span>to</span><wbr><span><span>Quaternion</span></span></a></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-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><a href="https://kotlinlang.org/api/latest/jvm/stdlib/kotlin/-number/index.html">Number</a><span class="token punctuation">.</span><a href="to-quaternion.html"><span class="token function">toQuaternion</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><a href="-quaternion/index.html">Quaternion</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">Creates a quaternion with real part equal to this real.</p></div><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">fun </span><a href="-complex/index.html">Complex</a><span class="token punctuation">.</span><a href="to-quaternion.html"><span class="token function">toQuaternion</span></a><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator">: </span><a href="-quaternion/index.html">Quaternion</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">Creates a quaternion with <code class="lang-kotlin">w</code>-component equal to <code class="lang-kotlin">re</code>-component of given complex and <code class="lang-kotlin">x</code>-component equal to <code class="lang-kotlin">im</code>-component of given complex.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="973370541%2FFunctions%2F-1704498033" anchor-label="withNdAlgebra" id="973370541%2FFunctions%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex">
<div><a href="with-nd-algebra.html"><span>with</span><wbr><span>Nd</span><wbr><span><span>Algebra</span></span></a></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-complex:dokkaHtmlPartial/commonMain"><div class="symbol monospace"><span class="token keyword">inline </span><span class="token keyword">fun </span><span class="token operator">&lt;</span><span class="token keyword"></span><a href="with-nd-algebra.html">R</a><span class="token operator">&gt; </span><a href="-complex-field/index.html">ComplexField</a><span class="token punctuation">.</span><a href="with-nd-algebra.html"><span class="token function">withNdAlgebra</span></a><span class="token punctuation">(</span><span class="token keyword">vararg </span>shape<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>action<span class="token operator">: </span><span class="token keyword"></span><a href="-complex-field-n-d/index.html">ComplexFieldND</a><span class="token punctuation">.</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token operator"> -&gt; </span><span class="token keyword"></span><a href="with-nd-algebra.html">R</a><span class="token punctuation">)</span><span class="token operator">: </span><a href="with-nd-algebra.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 class="brief "><p class="paragraph">Produce a context for n-dimensional operations inside this real field</p></div></div></div>
</div>
</div>
</div>
</div>
</div>
<h2 class="">Properties</h2>
<div class="table" data-togglable="Properties"><a data-name="1910719973%2FProperties%2F-1704498033" anchor-label="algebra" id="1910719973%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div><a href="algebra.html">algebra</a></div>
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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-complex:dokkaHtmlPartial/commonMain"><a data-name="1910719973%2FProperties%2F-1704498033" anchor-label="algebra" id="1910719973%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-complex/-companion/index.html">Complex.Companion</a><span class="token punctuation">.</span><a href="algebra.html">algebra</a><span class="token operator">: </span><a href="-complex-field/index.html">ComplexField</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="-1962051441%2FProperties%2F-1704498033" anchor-label="bufferAlgebra" id="-1962051441%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class=""><span class="inline-flex">
<div><a href="buffer-algebra.html">bufferAlgebra</a></div>
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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-complex:dokkaHtmlPartial/commonMain"><a data-name="-1962051441%2FProperties%2F-1704498033" anchor-label="bufferAlgebra" id="-1962051441%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><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">val </span><a href="-complex-field/index.html">ComplexField</a><span class="token punctuation">.</span><a href="buffer-algebra.html">bufferAlgebra</a><span class="token operator">: </span><a href="../../kmath-core/space.kscience.kmath.operations/-buffer-field-ops/index.html">BufferFieldOps</a><span class="token operator">&lt;</span><span class="token keyword"></span><a href="-complex/index.html">Complex</a><span class="token punctuation">, </span><span class="token keyword"></span><a href="-complex-field/index.html">ComplexField</a><span class="token operator">&gt;</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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<a data-name="-2074554569%2FProperties%2F-1704498033" anchor-label="conjugate" id="-2074554569%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="conjugate.html">conjugate</a></div>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted" data-togglable="Properties"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><a data-name="-2074554569%2FProperties%2F-1704498033" anchor-label="conjugate" id="-2074554569%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-complex/index.html">Complex</a><span class="token punctuation">.</span><a href="conjugate.html">conjugate</a><span class="token operator">: </span><a href="-complex/index.html">Complex</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 "><a data-name="-2074554569%2FProperties%2F-1704498033" anchor-label="conjugate" id="-2074554569%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">This complex's conjugate.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="-1383126765%2FProperties%2F-1704498033" anchor-label="conjugate" id="-1383126765%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="conjugate.html">conjugate</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1383126765%2FProperties%2F-1704498033"></span>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted" data-togglable="Properties"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><a data-name="-1383126765%2FProperties%2F-1704498033" anchor-label="conjugate" id="-1383126765%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">.</span><a href="conjugate.html">conjugate</a><span class="token operator">: </span><a href="-quaternion/index.html">Quaternion</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 "><a data-name="-1383126765%2FProperties%2F-1704498033" anchor-label="conjugate" id="-1383126765%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">This quaternion's conjugate.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="1424310233%2FProperties%2F-1704498033" anchor-label="ndAlgebra" id="1424310233%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="nd-algebra.html">ndAlgebra</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1424310233%2FProperties%2F-1704498033"></span>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted" data-togglable="Properties"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><a data-name="1424310233%2FProperties%2F-1704498033" anchor-label="ndAlgebra" id="1424310233%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-complex-field/index.html">ComplexField</a><span class="token punctuation">.</span><a href="nd-algebra.html">ndAlgebra</a><span class="token operator">: </span><a href="-complex-field-ops-n-d/index.html">ComplexFieldOpsND</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>
<a data-name="252819869%2FProperties%2F-1704498033" anchor-label="r" id="252819869%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="r.html">r</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="252819869%2FProperties%2F-1704498033"></span>
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<div>
<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted" data-togglable="Properties"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><a data-name="252819869%2FProperties%2F-1704498033" anchor-label="r" id="252819869%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-complex/index.html">Complex</a><span class="token punctuation">.</span><a href="r.html">r</a><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 "><a data-name="252819869%2FProperties%2F-1704498033" anchor-label="r" id="252819869%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">Absolute value of complex number.</p></div></div></div>
</div>
</div>
</div>
</div>
<a data-name="-228303635%2FProperties%2F-1704498033" anchor-label="r" id="-228303635%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
<div class="table-row" data-filterable-current=":kmath-complex:dokkaHtmlPartial/commonMain" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain">
<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="r.html">r</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-228303635%2FProperties%2F-1704498033"></span>
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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-complex:dokkaHtmlPartial/commonMain"><a data-name="-228303635%2FProperties%2F-1704498033" anchor-label="r" id="-228303635%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">.</span><a href="r.html">r</a><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 "><a data-name="-228303635%2FProperties%2F-1704498033" anchor-label="r" id="-228303635%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">Absolute value of the quaternion.</p></div></div></div>
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<a data-name="-1843071195%2FProperties%2F-1704498033" anchor-label="reciprocal" id="-1843071195%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class="main-subrow keyValue ">
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<div><a href="reciprocal.html">reciprocal</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="-1843071195%2FProperties%2F-1704498033"></span>
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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-complex:dokkaHtmlPartial/commonMain"><a data-name="-1843071195%2FProperties%2F-1704498033" anchor-label="reciprocal" id="-1843071195%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-complex/index.html">Complex</a><span class="token punctuation">.</span><a href="reciprocal.html">reciprocal</a><span class="token operator">: </span><a href="-complex/index.html">Complex</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 "><a data-name="-1843071195%2FProperties%2F-1704498033" anchor-label="reciprocal" id="-1843071195%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">This complex's reciprocal.</p></div></div></div>
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<a data-name="1315557989%2FProperties%2F-1704498033" anchor-label="reciprocal" id="1315557989%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="reciprocal.html">reciprocal</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1315557989%2FProperties%2F-1704498033"></span>
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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-complex:dokkaHtmlPartial/commonMain"><a data-name="1315557989%2FProperties%2F-1704498033" anchor-label="reciprocal" id="1315557989%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-quaternion/index.html">Quaternion</a><span class="token punctuation">.</span><a href="reciprocal.html">reciprocal</a><span class="token operator">: </span><a href="-quaternion/index.html">Quaternion</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 "><a data-name="1315557989%2FProperties%2F-1704498033" anchor-label="reciprocal" id="1315557989%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">This quaternion's reciprocal.</p></div></div></div>
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<a data-name="1449262833%2FProperties%2F-1704498033" anchor-label="theta" id="1449262833%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a>
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<div class="main-subrow keyValue ">
<div class=""><span class="inline-flex">
<div><a href="theta.html">theta</a></div>
<span class="anchor-wrapper"><span class="anchor-icon" pointing-to="1449262833%2FProperties%2F-1704498033"></span>
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<div class="title">
<div class="platform-hinted " data-platform-hinted="data-platform-hinted" data-togglable="Properties"><div class="content sourceset-depenent-content" data-active="" data-togglable=":kmath-complex:dokkaHtmlPartial/commonMain"><a data-name="1449262833%2FProperties%2F-1704498033" anchor-label="theta" id="1449262833%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><div class="symbol monospace"><span class="token keyword"></span><span class="token keyword">val </span><a href="-complex/index.html">Complex</a><span class="token punctuation">.</span><a href="theta.html">theta</a><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 "><a data-name="1449262833%2FProperties%2F-1704498033" anchor-label="theta" id="1449262833%2FProperties%2F-1704498033" data-filterable-set=":kmath-complex:dokkaHtmlPartial/commonMain"></a><p class="paragraph">An angle between vector represented by complex number and X axis.</p></div></div></div>
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