307 lines
8.2 KiB
HTML
307 lines
8.2 KiB
HTML
<!DOCTYPE html>
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<meta id="repository-name" content="github.com/watzon/apatite">
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<title>Apatite::LinearAlgebra - github.com/watzon/apatite</title>
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<a href="../index.html">README</a>
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<div class="search-results" class="hidden">
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<ul class="search-list"></ul>
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<div class="types-list">
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<ul>
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<li class="parent open current" data-id="github.com/watzon/apatite/Apatite" data-name="apatite">
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<a href="../Apatite.html">Apatite</a>
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<ul>
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<li class="parent open current" data-id="github.com/watzon/apatite/Apatite/LinearAlgebra" data-name="apatite::linearalgebra">
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<a href="../Apatite/LinearAlgebra.html">LinearAlgebra</a>
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<ul>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/ErrDimensionMismatch" data-name="apatite::linearalgebra::errdimensionmismatch">
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<a href="../Apatite/LinearAlgebra/ErrDimensionMismatch.html">ErrDimensionMismatch</a>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/ErrNotRegular" data-name="apatite::linearalgebra::errnotregular">
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<a href="../Apatite/LinearAlgebra/ErrNotRegular.html">ErrNotRegular</a>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/ErrOperationNotDefined" data-name="apatite::linearalgebra::erroperationnotdefined">
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<a href="../Apatite/LinearAlgebra/ErrOperationNotDefined.html">ErrOperationNotDefined</a>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/Error" data-name="apatite::linearalgebra::error">
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<a href="../Apatite/LinearAlgebra/Error.html">Error</a>
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</li>
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<li class="parent " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/Matrix" data-name="apatite::linearalgebra::matrix(t)">
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<a href="../Apatite/LinearAlgebra/Matrix.html">Matrix</a>
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<ul>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/Matrix/EigenvalueDecomposition" data-name="apatite::linearalgebra::matrix::eigenvaluedecomposition">
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<a href="../Apatite/LinearAlgebra/Matrix/EigenvalueDecomposition.html">EigenvalueDecomposition</a>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/Matrix/LupDecomposition" data-name="apatite::linearalgebra::matrix::lupdecomposition">
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<a href="../Apatite/LinearAlgebra/Matrix/LupDecomposition.html">LupDecomposition</a>
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</li>
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</ul>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/NDArray" data-name="apatite::linearalgebra::ndarray">
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<a href="../Apatite/LinearAlgebra/NDArray.html">NDArray</a>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/Vector" data-name="apatite::linearalgebra::vector(t)">
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<a href="../Apatite/LinearAlgebra/Vector.html">Vector</a>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Apatite/LinearAlgebra/ZeroVectorError" data-name="apatite::linearalgebra::zerovectorerror">
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<a href="../Apatite/LinearAlgebra/ZeroVectorError.html">ZeroVectorError</a>
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</li>
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</ul>
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</li>
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</ul>
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</li>
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<li class=" " data-id="github.com/watzon/apatite/Array" data-name="array(t)">
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<a href="../Array.html">Array</a>
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</li>
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</ul>
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</div>
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</div>
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<div class="main-content">
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<h1 class="type-name">
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<span class="kind">module</span> Apatite::LinearAlgebra
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</h1>
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<h2>Extended Modules</h2>
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<ul class="other-types-list">
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<li class="other-type"><a href="../Apatite/LinearAlgebra.html">Apatite::LinearAlgebra</a></li>
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</ul>
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<h2>Direct including types</h2>
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<ul class="other-types-list">
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<li class="other-type"><a href="../Apatite.html">Apatite</a></li>
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</ul>
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<h2>Defined in:</h2>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra/error.cr#L2" target="_blank">
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apatite/linear_algebra/error.cr
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</a>
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<br/>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra/vector.cr#L4" target="_blank">
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apatite/linear_algebra/vector.cr
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</a>
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<br/>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra/matrix/eigenvalue_decomposition.cr#L1" target="_blank">
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apatite/linear_algebra/matrix/eigenvalue_decomposition.cr
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</a>
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<br/>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra/matrix/lup_decomposition.cr#L1" target="_blank">
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apatite/linear_algebra/matrix/lup_decomposition.cr
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</a>
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<br/>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra/matrix.cr#L5" target="_blank">
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apatite/linear_algebra/matrix.cr
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</a>
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<br/>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra.cr#L7" target="_blank">
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apatite/linear_algebra.cr
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</a>
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<br/>
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<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra/ndarray.cr#L1" target="_blank">
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apatite/linear_algebra/ndarray.cr
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</a>
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<br/>
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<h2>Instance Method Summary</h2>
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<ul class="list-summary">
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<li class="entry-summary">
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<a href="#sigmoid%28input%3ANumber%29-instance-method" class="signature"><strong>#sigmoid</strong>(input : Number)</a>
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<div class="summary"><p>Calculates the sigmoid curve for a numeric input.</p></div>
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</li>
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<li class="entry-summary">
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<a href="#sigmoid_d%28input%3ANumber%29-instance-method" class="signature"><strong>#sigmoid_d</strong>(input : Number)</a>
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<div class="summary"><p>Calculates the derivative sigmoid curve for a numeric input.</p></div>
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</li>
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</ul>
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<div class="methods-inherited">
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</div>
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<h2>Instance Method Detail</h2>
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<div class="entry-detail" id="sigmoid(input:Number)-instance-method">
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<div class="signature">
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def <strong>sigmoid</strong>(input : Number)
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<a class="method-permalink" href="#sigmoid%28input%3ANumber%29-instance-method">#</a>
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</div>
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<div class="doc"><p>Calculates the sigmoid curve for a numeric input.</p>
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<p><code>f(x) = 1/(1 + e^-x)</code></p>
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<p>See also: <a href="https://www.wikiwand.com/en/Sigmoid_function" target="_blank">Sigmoid function (WikiWand)</a></p></div>
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<br/>
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<div>
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[<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra.cr#L15" target="_blank">View source</a>]
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</div>
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</div>
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<div class="entry-detail" id="sigmoid_d(input:Number)-instance-method">
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<div class="signature">
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def <strong>sigmoid_d</strong>(input : Number)
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<a class="method-permalink" href="#sigmoid_d%28input%3ANumber%29-instance-method">#</a>
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</div>
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<div class="doc"><p>Calculates the derivative sigmoid curve for a numeric input.</p>
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<p><code>f'(x) = f(x)(1 - f(x)),</code></p></div>
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<br/>
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<div>
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[<a href="https://github.com/watzon/apatite/blob/6e67ceb81b0b3c61d48b74e5ca5154866a9abd1a/src/apatite/linear_algebra.cr#L23" target="_blank">View source</a>]
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</div>
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</div>
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</div>
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</body>
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</html>
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