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<div class="header">
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<p class="class"><strong>Type</strong> ContourIntegrate</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 Contour Integration of a complex-valued function over a real variable,.
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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/ContourIntegrate.htm#DoubleExponential">DoubleExponential</a></li>
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<li><a href="../MathNet.Numerics/ContourIntegrate.htm#GaussKronrod">GaussKronrod</a></li>
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<li><a href="../MathNet.Numerics/ContourIntegrate.htm#GaussKronrod">GaussKronrod</a></li>
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<li><a href="../MathNet.Numerics/ContourIntegrate.htm#GaussLegendre">GaussLegendre</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="DoubleExponential" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>DoubleExponential</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.double">double</span> targetAbsoluteError)</h4>
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<div class="content">Approximation of the definite integral of an analytic smooth complex function by double-exponential quadrature. When either or both limits are infinite, the integrand is assumed rapidly decayed to zero as x -> infinity.
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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, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on the real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops. </p>
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<h6><code><span title="System.double">double</span></code> targetAbsoluteError</h6>
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<p class="comments">The expected relative accuracy of the approximation. </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.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="GaussKronrod" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>GaussKronrod</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.double">double</span> targetRelativeError, <span title="System.int">int</span> maximumDepth, <span title="System.int">int</span> order)</h4>
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<div class="content">Approximation of the definite integral of an analytic smooth function by Gauss-Kronrod quadrature. When either or both limits are infinite, the integrand is assumed rapidly decayed to zero as x -> infinity.
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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, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on the real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops. </p>
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<h6><code><span title="System.double">double</span></code> targetRelativeError</h6>
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<p class="comments">The expected relative accuracy of the approximation. </p>
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<h6><code><span title="System.int">int</span></code> maximumDepth</h6>
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<p class="comments">The maximum number of interval splittings permitted before stopping </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">The number of Gauss-Kronrod points. Pre-computed for 15, 21, 31, 41, 51 and 61 points </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.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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<div id="GaussKronrod" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>GaussKronrod</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.Double&">Double&</span> error, <span title="System.Double&">Double&</span> L1Norm, <span title="System.double">double</span> targetRelativeError, <span title="System.int">int</span> maximumDepth, <span title="System.int">int</span> order)</h4>
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<div class="content">
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</div>
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</div>
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<div id="GaussLegendre" class="method">
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>GaussLegendre</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.int">int</span> order)</h4>
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<div class="content">Approximation of the definite integral of an analytic smooth complex function by double-exponential quadrature. When either or both limits are infinite, the integrand is assumed rapidly decayed to zero as x -> infinity.
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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, Complex>">Func<double, Complex></span></code> f</h6>
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<p class="comments">The analytic smooth complex function to integrate, defined on the real domain. </p>
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<h6><code><span title="System.double">double</span></code> intervalBegin</h6>
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<p class="comments">Where the interval starts. </p>
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<h6><code><span title="System.double">double</span></code> intervalEnd</h6>
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<p class="comments">Where the interval stops. </p>
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<h6><code><span title="System.int">int</span></code> order</h6>
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<p class="comments">Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly. </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.Numerics.Complex">Complex</span></code></h6>
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<p>Approximation of the finite integral in the given interval. </p>
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</div>
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</div>
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</div>
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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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