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547 lines
24 KiB
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<a href="../MathNet.Numerics/AppSwitches.htm">AppSwitches</a>
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<a href="../MathNet.Numerics/Combinatorics.htm">Combinatorics</a>
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<a href="../MathNet.Numerics/NumericalBreakdownException.htm">NumericalBreakdownException</a>
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<a href="../MathNet.Numerics/Permutation.htm">Permutation</a>
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<a href="../MathNet.Numerics/Polynomial.htm">Polynomial</a>
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<a href="../MathNet.Numerics/Sorting.htm">Sorting</a>
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<a href="../MathNet.Numerics/Trig.htm">Trig</a>
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</ul>
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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> Differentiate</p>
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<p><strong>Namespace</strong> MathNet.Numerics</p>
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</div>
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<div class="sub-header">
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<div id="summary">Numerical Derivative.
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</div>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics/Differentiate.htm#Derivative">Derivative</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#DerivativeFunc">DerivativeFunc</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#FirstDerivative">FirstDerivative</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#FirstDerivativeFunc">FirstDerivativeFunc</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#FirstPartialDerivative">FirstPartialDerivative</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#FirstPartialDerivative2">FirstPartialDerivative2</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#FirstPartialDerivative2Func">FirstPartialDerivative2Func</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#FirstPartialDerivativeFunc">FirstPartialDerivativeFunc</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#Order">Order</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#PartialDerivative">PartialDerivative</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#PartialDerivative2">PartialDerivative2</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#PartialDerivative2Func">PartialDerivative2Func</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#PartialDerivativeFunc">PartialDerivativeFunc</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#Points">Points</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#SecondDerivative">SecondDerivative</a></li>
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<li><a href="../MathNet.Numerics/Differentiate.htm#SecondDerivativeFunc">SecondDerivativeFunc</a></li>
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</ul>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="Derivative" class="method">
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<h4><span title="System.double">double</span> <strong>Derivative</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> x, <span title="System.int">int</span> order)</h4>
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<div class="content">Evaluates the derivative of a scalar univariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">Univariate function handle. </p>
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<h6><code><span title="System.double">double</span></code> x</h6>
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<p class="comments">Point at which to evaluate the derivative. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Derivative order. </p>
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</div>
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</div>
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</div>
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<div id="DerivativeFunc" class="method">
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<h4><span title="System.Func<double, double>">Func<double, double></span> <strong>DerivativeFunc</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.int">int</span> order)</h4>
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<div class="content">Creates a function handle for the derivative of a scalar univariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">Univariate function handle. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Derivative order. </p>
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</div>
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</div>
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</div>
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<div id="FirstDerivative" class="method">
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<h4><span title="System.double">double</span> <strong>FirstDerivative</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> x)</h4>
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<div class="content">Evaluates the first derivative of a scalar univariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">Univariate function handle. </p>
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<h6><code><span title="System.double">double</span></code> x</h6>
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<p class="comments">Point at which to evaluate the derivative. </p>
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</div>
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</div>
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</div>
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<div id="FirstDerivativeFunc" class="method">
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<h4><span title="System.Func<double, double>">Func<double, double></span> <strong>FirstDerivativeFunc</strong>(<span title="System.Func<double, double>">Func<double, double></span> f)</h4>
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<div class="content">Creates a function handle for the first derivative of a scalar univariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
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<p class="comments">Univariate function handle. </p>
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</div>
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</div>
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</div>
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<div id="FirstPartialDerivative" class="method">
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<h4><span title="System.double">double</span> <strong>FirstPartialDerivative</strong>(<span title="System.Func<Double[], double>">Func<Double[], double></span> f, <span title="System.Double[]">Double[]</span> x, <span title="System.int">int</span> parameterIndex)</h4>
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<div class="content">Evaluates the first partial derivative of a multivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<Double[], double>">Func<Double[], double></span></code> f</h6>
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<p class="comments">Multivariate function handle. </p>
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<h6><code><span title="System.Double[]">Double[]</span></code> x</h6>
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<p class="comments">Vector at which to evaluate the derivative. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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</div>
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</div>
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</div>
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<div id="FirstPartialDerivative2" class="method">
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<h4><span title="System.double">double</span> <strong>FirstPartialDerivative2</strong>(<span title="System.Func<double, double, double>">Func<double, double, double></span> f, <span title="System.double">double</span> x, <span title="System.double">double</span> y, <span title="System.int">int</span> parameterIndex)</h4>
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<div class="content">Evaluates the first partial derivative of a bivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
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<p class="comments">Bivariate function handle. </p>
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<h6><code><span title="System.double">double</span></code> x</h6>
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<p class="comments">First argument at which to evaluate the derivative. </p>
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<h6><code><span title="System.double">double</span></code> y</h6>
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<p class="comments">Second argument at which to evaluate the derivative. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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</div>
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</div>
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</div>
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<div id="FirstPartialDerivative2Func" class="method">
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<h4><span title="System.Func<double, double, double>">Func<double, double, double></span> <strong>FirstPartialDerivative2Func</strong>(<span title="System.Func<double, double, double>">Func<double, double, double></span> f, <span title="System.int">int</span> parameterIndex)</h4>
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<div class="content">Creates a function handle for the first partial derivative of a bivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
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<p class="comments">Bivariate function handle. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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</div>
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</div>
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</div>
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<div id="FirstPartialDerivativeFunc" class="method">
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<h4><span title="System.Func<Double[], double>">Func<Double[], double></span> <strong>FirstPartialDerivativeFunc</strong>(<span title="System.Func<Double[], double>">Func<Double[], double></span> f, <span title="System.int">int</span> parameterIndex)</h4>
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<div class="content">Creates a function handle for the first partial derivative of a multivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<Double[], double>">Func<Double[], double></span></code> f</h6>
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<p class="comments">Multivariate function handle. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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</div>
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</div>
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</div>
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<div id="Order" class="method">
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<h4><a href="../MathNet.Numerics.Differentiation/NumericalDerivative.htm">NumericalDerivative</a> <strong>Order</strong>(<span title="System.int">int</span> order)</h4>
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<div class="content">Initialized a NumericalDerivative with the default points and center for the given order.
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</div>
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</div>
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<div id="PartialDerivative" class="method">
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<h4><span title="System.double">double</span> <strong>PartialDerivative</strong>(<span title="System.Func<Double[], double>">Func<Double[], double></span> f, <span title="System.Double[]">Double[]</span> x, <span title="System.int">int</span> parameterIndex, <span title="System.int">int</span> order)</h4>
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<div class="content">Evaluates the partial derivative of a multivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<Double[], double>">Func<Double[], double></span></code> f</h6>
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<p class="comments">Multivariate function handle. </p>
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<h6><code><span title="System.Double[]">Double[]</span></code> x</h6>
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<p class="comments">Vector at which to evaluate the derivative. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Derivative order. </p>
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</div>
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</div>
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</div>
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<div id="PartialDerivative2" class="method">
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<h4><span title="System.double">double</span> <strong>PartialDerivative2</strong>(<span title="System.Func<double, double, double>">Func<double, double, double></span> f, <span title="System.double">double</span> x, <span title="System.double">double</span> y, <span title="System.int">int</span> parameterIndex, <span title="System.int">int</span> order)</h4>
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<div class="content">Evaluates the partial derivative of a bivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
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<p class="comments">Bivariate function handle. </p>
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<h6><code><span title="System.double">double</span></code> x</h6>
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<p class="comments">First argument at which to evaluate the derivative. </p>
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<h6><code><span title="System.double">double</span></code> y</h6>
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<p class="comments">Second argument at which to evaluate the derivative. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Derivative order. </p>
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</div>
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</div>
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</div>
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<div id="PartialDerivative2Func" class="method">
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<h4><span title="System.Func<double, double, double>">Func<double, double, double></span> <strong>PartialDerivative2Func</strong>(<span title="System.Func<double, double, double>">Func<double, double, double></span> f, <span title="System.int">int</span> parameterIndex, <span title="System.int">int</span> order)</h4>
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<div class="content">Creates a function handle for the partial derivative of a bivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<double, double, double>">Func<double, double, double></span></code> f</h6>
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<p class="comments">Bivariate function handle. </p>
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
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<p class="comments">Index of independent variable for partial derivative. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Derivative order. </p>
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</div>
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</div>
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</div>
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<div id="PartialDerivativeFunc" class="method">
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<h4><span title="System.Func<Double[], double>">Func<Double[], double></span> <strong>PartialDerivativeFunc</strong>(<span title="System.Func<Double[], double>">Func<Double[], double></span> f, <span title="System.int">int</span> parameterIndex, <span title="System.int">int</span> order)</h4>
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<div class="content">Creates a function handle for the partial derivative of a multivariate function.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Func<Double[], double>">Func<Double[], double></span></code> f</h6>
|
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<p class="comments">Multivariate function handle. </p>
|
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<h6><code><span title="System.int">int</span></code> parameterIndex</h6>
|
|
<p class="comments">Index of independent variable for partial derivative. </p>
|
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<h6><code><span title="System.int">int</span></code> order</h6>
|
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<p class="comments">Derivative order. </p>
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</div>
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</div>
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</div>
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<div id="Points" class="method">
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<h4><a href="../MathNet.Numerics.Differentiation/NumericalDerivative.htm">NumericalDerivative</a> <strong>Points</strong>(<span title="System.int">int</span> points, <span title="System.int">int</span> center)</h4>
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<div class="content">Initialized a NumericalDerivative with the given points and center.
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</div>
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</div>
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<div id="SecondDerivative" class="method">
|
|
<h4><span title="System.double">double</span> <strong>SecondDerivative</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> x)</h4>
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<div class="content">Evaluates the second derivative of a scalar univariate function.
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<div class="parameters">
|
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<h5>Parameters</h5>
|
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<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
|
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<p class="comments">Univariate function handle. </p>
|
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<h6><code><span title="System.double">double</span></code> x</h6>
|
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<p class="comments">Point at which to evaluate the derivative. </p>
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</div>
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</div>
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</div>
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<div id="SecondDerivativeFunc" class="method">
|
|
<h4><span title="System.Func<double, double>">Func<double, double></span> <strong>SecondDerivativeFunc</strong>(<span title="System.Func<double, double>">Func<double, double></span> f)</h4>
|
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<div class="content">Creates a function handle for the second derivative of a scalar univariate function.
|
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<div class="parameters">
|
|
<h5>Parameters</h5>
|
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|
|
<h6><code><span title="System.Func<double, double>">Func<double, double></span></code> f</h6>
|
|
<p class="comments">Univariate function handle. </p>
|
|
</div>
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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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