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518 lines
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518 lines
21 KiB
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<a href="../MathNet.Numerics.Distributions/Stable.htm">Stable</a>
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<a href="../MathNet.Numerics.Distributions/StudentT.htm">StudentT</a>
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<a href="../MathNet.Numerics.Distributions/Triangular.htm">Triangular</a>
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<a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm">TruncatedPareto</a>
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<a href="../MathNet.Numerics.Distributions/Weibull.htm">Weibull</a>
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<a href="../MathNet.Numerics.Distributions/Zipf.htm">Zipf</a>
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</div>
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</div>
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<div class="header">
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<p class="class"><strong>Type</strong> MatrixNormal</p>
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<p><strong>Namespace</strong> MathNet.Numerics.Distributions</p>
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<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.Distributions/IDistribution.htm">IDistribution</a></p>
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</div>
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<div class="sub-header">
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<div id="summary">Multivariate Matrix-valued Normal distributions. The distribution
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is parameterized by a mean matrix (M), a covariance matrix for the rows (V) and a covariance matrix
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for the columns (K). If the dimension of M is d-by-m then V is d-by-d and K is m-by-m..
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</div>
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<h3 class="section">Constructors</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#.ctor">MatrixNormal</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#.ctor">MatrixNormal</a></li>
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</ul>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#IsValidParameterSet">IsValidParameterSet</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#Sample">Sample</a></li>
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</ul>
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<h3 class="section">Methods</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#Density">Density</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#Equals">Equals</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#GetHashCode">GetHashCode</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#GetType">GetType</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#Sample">Sample</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#ToString">ToString</a></li>
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</ul>
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<h3 class="section">Properties</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#ColumnCovariance">ColumnCovariance</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#Mean">Mean</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#RandomSource">RandomSource</a></li>
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<li><a href="../MathNet.Numerics.Distributions/MatrixNormal.htm#RowCovariance">RowCovariance</a></li>
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</ul>
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</div>
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<h3 class="section">Public Constructors</h3>
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<div id=".ctor" class="method">
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<h4> <strong>MatrixNormal</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> m, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> v, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> k)</h4>
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<div class="content">Initializes a new instance of the <a href="../MathNet.Numerics.Distributions/MatrixNormal.htm">MatrixNormal</a> class.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> m</h6>
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<p class="comments">The mean of the matrix normal. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> v</h6>
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<p class="comments">The covariance matrix for the rows. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> k</h6>
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<p class="comments">The covariance matrix for the columns. </p>
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</div>
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</div>
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</div>
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<div id=".ctor" class="method">
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<h4> <strong>MatrixNormal</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> m, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> v, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> k, <span title="System.Random">Random</span> randomSource)</h4>
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<div class="content">Initializes a new instance of the <a href="../MathNet.Numerics.Distributions/MatrixNormal.htm">MatrixNormal</a> class.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> m</h6>
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<p class="comments">The mean of the matrix normal. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> v</h6>
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<p class="comments">The covariance matrix for the rows. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> k</h6>
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<p class="comments">The covariance matrix for the columns. </p>
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<h6><code><span title="System.Random">Random</span></code> randomSource</h6>
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<p class="comments">The random number generator which is used to draw random samples. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="IsValidParameterSet" class="method">
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<h4><span title="System.bool">bool</span> <strong>IsValidParameterSet</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> m, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> v, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> k)</h4>
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<div class="content">Tests whether the provided values are valid parameters for this distribution.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> m</h6>
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<p class="comments">The mean of the matrix normal. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> v</h6>
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<p class="comments">The covariance matrix for the rows. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> k</h6>
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<p class="comments">The covariance matrix for the columns. </p>
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</div>
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</div>
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</div>
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<div id="Sample" class="method">
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<h4><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> <strong>Sample</strong>(<span title="System.Random">Random</span> rnd, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> m, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> v, <a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> k)</h4>
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<div class="content">Samples a matrix normal distributed random variable.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Random">Random</span></code> rnd</h6>
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<p class="comments">The random number generator to use. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> m</h6>
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<p class="comments">The mean of the matrix normal. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> v</h6>
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<p class="comments">The covariance matrix for the rows. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> k</h6>
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<p class="comments">The covariance matrix for the columns. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code></h6>
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<p>a sequence of samples from the distribution. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Methods</h3>
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<div id="Density" class="method">
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<h4><span title="System.double">double</span> <strong>Density</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> x)</h4>
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<div class="content">Evaluates the probability density function for the matrix normal distribution.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> x</h6>
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<p class="comments">The matrix at which to evaluate the density at. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.double">double</span></code></h6>
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<p>the density at <var>x</var> </p>
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</div>
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</div>
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</div>
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<div id="Equals" class="method">
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<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetHashCode" class="method">
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<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetType" class="method">
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<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="Sample" class="method">
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<h4><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> <strong>Sample</strong>()</h4>
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<div class="content">Samples a matrix normal distributed random variable.
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<div class="return">
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<h5>Return</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code></h6>
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<p>A random number from this distribution. </p>
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</div>
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</div>
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</div>
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<div id="ToString" class="method">
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<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4>
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<div class="content">Returns a <span title="System.String">String</span> that represents this instance.
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.string">string</span></code></h6>
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<p>A <a href="../System/String.htm">String</a> that represents this instance. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Properties</h3>
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<div id="ColumnCovariance" class="method">
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<h4><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> <strong>ColumnCovariance</strong> get; </h4>
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<div class="content">Gets the column covariance. (K)
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<blockquote class="value">
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<strong>Value: </strong>
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</blockquote>
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</div>
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</div>
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<div id="Mean" class="method">
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<h4><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> <strong>Mean</strong> get; </h4>
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<div class="content">Gets the mean. (M)
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<blockquote class="value">
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<strong>Value: </strong>
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</blockquote>
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</div>
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</div>
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<div id="RandomSource" class="method">
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<h4><span title="System.Random">Random</span> <strong>RandomSource</strong> get; set;</h4>
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<div class="content">Gets or sets the random number generator which is used to draw random samples.
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</div>
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</div>
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<div id="RowCovariance" class="method">
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<h4><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> <strong>RowCovariance</strong> get; </h4>
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<div class="content">Gets the row covariance. (V)
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<blockquote class="value">
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<strong>Value: </strong>
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</blockquote>
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</div>
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</div>
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<div id="footer">
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<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
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