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<div class="header">
<p class="class"><strong>Type</strong> Distance</p>
<p><strong>Namespace</strong> MathNet.Numerics</p>
</div>
<div class="sub-header">
<div id="summary">Metrics to measure the distance between two structures.
</div>
<h3 class="section">Static Functions</h3>
<ul>
<li><a href="../MathNet.Numerics/Distance.htm#Canberra">Canberra</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Canberra">Canberra</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Chebyshev">Chebyshev</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Chebyshev">Chebyshev</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Chebyshev``1">Chebyshev&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Cosine">Cosine</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Cosine">Cosine</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Euclidean">Euclidean</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Euclidean">Euclidean</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Euclidean``1">Euclidean&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Hamming">Hamming</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Hamming">Hamming</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Jaccard">Jaccard</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Jaccard">Jaccard</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#MAE">MAE</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#MAE">MAE</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#MAE``1">MAE&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Manhattan">Manhattan</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Manhattan">Manhattan</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Manhattan``1">Manhattan&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Minkowski">Minkowski</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Minkowski">Minkowski</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Minkowski``1">Minkowski&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#MSE">MSE</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#MSE">MSE</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#MSE``1">MSE&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#Pearson">Pearson</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#SAD">SAD</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#SAD">SAD</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#SAD``1">SAD&lt;T&gt;</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#SSD">SSD</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#SSD">SSD</a></li>
<li><a href="../MathNet.Numerics/Distance.htm#SSD``1">SSD&lt;T&gt;</a></li>
</ul>
</div>
<h3 class="section">Public Static Functions</h3>
<div id="Canberra" class="method">
<h4><span title="System.float">float</span> <strong>Canberra</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Canberra Distance, a weighted version of the L1-norm of the difference.
</div>
</div>
<div id="Canberra" class="method">
<h4><span title="System.double">double</span> <strong>Canberra</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Canberra Distance, a weighted version of the L1-norm of the difference.
</div>
</div>
<div id="Chebyshev" class="method">
<h4><span title="System.float">float</span> <strong>Chebyshev</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Chebyshev Distance, i.e. the Infinity-norm of the difference.
</div>
</div>
<div id="Chebyshev" class="method">
<h4><span title="System.double">double</span> <strong>Chebyshev</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Chebyshev Distance, i.e. the Infinity-norm of the difference.
</div>
</div>
<div id="Chebyshev``1" class="method">
<h4><span title="System.double">double</span> <strong>Chebyshev&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Chebyshev Distance, i.e. the Infinity-norm of the difference.
</div>
</div>
<div id="Cosine" class="method">
<h4><span title="System.float">float</span> <strong>Cosine</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Cosine Distance, representing the angular distance while ignoring the scale.
</div>
</div>
<div id="Cosine" class="method">
<h4><span title="System.double">double</span> <strong>Cosine</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Cosine Distance, representing the angular distance while ignoring the scale.
</div>
</div>
<div id="Euclidean" class="method">
<h4><span title="System.double">double</span> <strong>Euclidean</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Euclidean Distance, i.e. the L2-norm of the difference.
</div>
</div>
<div id="Euclidean" class="method">
<h4><span title="System.float">float</span> <strong>Euclidean</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Euclidean Distance, i.e. the L2-norm of the difference.
</div>
</div>
<div id="Euclidean``1" class="method">
<h4><span title="System.double">double</span> <strong>Euclidean&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Euclidean Distance, i.e. the L2-norm of the difference.
</div>
</div>
<div id="Hamming" class="method">
<h4><span title="System.float">float</span> <strong>Hamming</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Hamming Distance, i.e. the number of positions that have different values in the vectors.
</div>
</div>
<div id="Hamming" class="method">
<h4><span title="System.double">double</span> <strong>Hamming</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Hamming Distance, i.e. the number of positions that have different values in the vectors.
</div>
</div>
<div id="Jaccard" class="method">
<h4><span title="System.double">double</span> <strong>Jaccard</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Jaccard distance, i.e. 1 - the Jaccard index.
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>Jaccard distance. </p>
</div>
</div>
</div>
<div id="Jaccard" class="method">
<h4><span title="System.double">double</span> <strong>Jaccard</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Jaccard distance, i.e. 1 - the Jaccard index.
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>Jaccard distance. </p>
</div>
</div>
</div>
<div id="MAE" class="method">
<h4><span title="System.float">float</span> <strong>MAE</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Mean-Absolute Error (MAE), i.e. the normalized L1-norm (Manhattan) of the difference.
</div>
</div>
<div id="MAE" class="method">
<h4><span title="System.double">double</span> <strong>MAE</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Mean-Absolute Error (MAE), i.e. the normalized L1-norm (Manhattan) of the difference.
</div>
</div>
<div id="MAE``1" class="method">
<h4><span title="System.double">double</span> <strong>MAE&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Mean-Absolute Error (MAE), i.e. the normalized L1-norm (Manhattan) of the difference.
</div>
</div>
<div id="Manhattan" class="method">
<h4><span title="System.double">double</span> <strong>Manhattan</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Manhattan Distance, i.e. the L1-norm of the difference.
</div>
</div>
<div id="Manhattan" class="method">
<h4><span title="System.float">float</span> <strong>Manhattan</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Manhattan Distance, i.e. the L1-norm of the difference.
</div>
</div>
<div id="Manhattan``1" class="method">
<h4><span title="System.double">double</span> <strong>Manhattan&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Manhattan Distance, i.e. the L1-norm of the difference.
</div>
</div>
<div id="Minkowski" class="method">
<h4><span title="System.double">double</span> <strong>Minkowski</strong>(<span title="System.double">double</span> p, <span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Minkowski Distance, i.e. the generalized p-norm of the difference.
</div>
</div>
<div id="Minkowski" class="method">
<h4><span title="System.float">float</span> <strong>Minkowski</strong>(<span title="System.double">double</span> p, <span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Minkowski Distance, i.e. the generalized p-norm of the difference.
</div>
</div>
<div id="Minkowski``1" class="method">
<h4><span title="System.double">double</span> <strong>Minkowski&lt;T&gt;</strong>(<span title="System.double">double</span> p, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Minkowski Distance, i.e. the generalized p-norm of the difference.
</div>
</div>
<div id="MSE" class="method">
<h4><span title="System.float">float</span> <strong>MSE</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Mean-Squared Error (MSE), i.e. the normalized squared L2-norm (Euclidean) of the difference.
</div>
</div>
<div id="MSE" class="method">
<h4><span title="System.double">double</span> <strong>MSE</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Mean-Squared Error (MSE), i.e. the normalized squared L2-norm (Euclidean) of the difference.
</div>
</div>
<div id="MSE``1" class="method">
<h4><span title="System.double">double</span> <strong>MSE&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Mean-Squared Error (MSE), i.e. the normalized squared L2-norm (Euclidean) of the difference.
</div>
</div>
<div id="Pearson" class="method">
<h4><span title="System.double">double</span> <strong>Pearson</strong>(<span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span> a, <span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span> b)</h4>
<div class="content">Pearson's distance, i.e. 1 - the person correlation coefficient.
</div>
</div>
<div id="SAD" class="method">
<h4><span title="System.float">float</span> <strong>SAD</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Sum of Absolute Difference (SAD), i.e. the L1-norm (Manhattan) of the difference.
</div>
</div>
<div id="SAD" class="method">
<h4><span title="System.double">double</span> <strong>SAD</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Sum of Absolute Difference (SAD), i.e. the L1-norm (Manhattan) of the difference.
</div>
</div>
<div id="SAD``1" class="method">
<h4><span title="System.double">double</span> <strong>SAD&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Sum of Absolute Difference (SAD), i.e. the L1-norm (Manhattan) of the difference.
</div>
</div>
<div id="SSD" class="method">
<h4><span title="System.double">double</span> <strong>SSD</strong>(<span title="System.Double[]">Double[]</span> a, <span title="System.Double[]">Double[]</span> b)</h4>
<div class="content">Sum of Squared Difference (SSD), i.e. the squared L2-norm (Euclidean) of the difference.
</div>
</div>
<div id="SSD" class="method">
<h4><span title="System.float">float</span> <strong>SSD</strong>(<span title="System.Single[]">Single[]</span> a, <span title="System.Single[]">Single[]</span> b)</h4>
<div class="content">Sum of Squared Difference (SSD), i.e. the squared L2-norm (Euclidean) of the difference.
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<div id="SSD``1" class="method">
<h4><span title="System.double">double</span> <strong>SSD&lt;T&gt;</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> a, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> b)</h4>
<div class="content">Sum of Squared Difference (SSD), i.e. the squared L2-norm (Euclidean) of the difference.
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