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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Numerical (DiffSharp)</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="author" content="Atılım Güneş Baydin, Don Syme, Barak A. Pearlmutter, Jeffrey Siskind, and DiffSharp contributors">
<meta name="description" content="DiffSharp is a tensor library with support for differentiable programming. It is designed for use in machine learning, probabilistic programming, optimization and other domains.">
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</head>
<body>
<div class="container">
<!-- <div class="masthead">
<ul class="nav nav-pills pull-right">
<li><a href="https://fsharp.org">fsharp.org</a></li>
</ul>
<h3 class="muted">DiffSharp</h3>
</div> -->
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<a href="index.html"><img class="logo" src="https://diffsharp.github.io/img/diffsharp-logo-text.png"/></a>
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<ul class="nav nav-list" id="menu">
<!-- <li class="nav-header">DiffSharp</li> -->
<!-- <li class="divider"></li> -->
<li><a href="https://diffsharp.github.io/index.html">Home</a></li>
<li><a href="https://github.com/DiffSharp/DiffSharp/">GitHub</a></li>
<li><a href="https://github.com/DiffSharp/DiffSharp/blob/dev/LICENSE">License (BSD)</a></li>
<li class="nav-header">Getting Started</li>
<!-- <li class="divider"></li> -->
<li><a href="https://diffsharp.github.io/install.html">Install</a></li>
<li><a href="https://diffsharp.github.io/quickstart.html">Quickstart</a></li>
<!-- <li><a href="https://diffsharp.github.io/tensors.html">Tensors</a></li> -->
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<!-- <li><a href="https://diffsharp.github.io/tutorial-classifier.html">Classifier</a></li> -->
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<li><a href="https://github.com/DiffSharp/DiffSharp/tree/dev/examples">More Examples</a></li>
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<li><a href="http://www.robots.ox.ac.uk/~gunes/">Atılım Güneş Baydin</a></li>
<li><a href="http://www.bcl.hamilton.ie/~barak/">Barak A. Pearlmutter</a></li>
<li><a href="https://www.microsoft.com/en-us/research/people/dsyme/">Don Syme</a></li> -->
</ul>
</div>
<div class="span9" id="fsdocs-content">
<div>
<h2>
Numerical Module
</h2>
<dl class="fsdocs-metadata">
<dt>
Namespace:
<a href="https://diffsharp.github.io/reference/diffsharp.html">
DiffSharp
</a>
</dt>
<dt>
Assembly: DiffSharp.Core.dll
</dt>
</dl>
<div class="fsdocs-xmldoc">
<div>
<p class="fsdocs-summary">
</p>
</div>
</div>
<div>
<h3>
Nested modules
</h3>
<table class="table outer-list fsdocs-entity-list">
<thead>
<tr>
<td>
Modules
</td>
<td>
Description
</td>
</tr>
</thead>
<tbody>
<tr>
<td class="fsdocs-entity-name">
<p>
<a name="Shorten">
<a href="https://diffsharp.github.io/reference/diffsharp-numerical-shorten.html">
Shorten
</a>
</a>
</p>
</td>
<td class="fsdocs-entity-xmldoc">
<div>
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:T:DiffSharp.Numerical.Shorten`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'T:DiffSharp.Numerical.Shorten\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L139-139" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
</p>
</div>
</td>
</tr>
</tbody>
</table>
</div>
<div></div>
<div>
<h3>
Type extensions
</h3>
<table class="table outer-list fsdocs-member-list">
<thead>
<tr>
<td class="fsdocs-member-list-header">
Type extension
</td>
<td class="fsdocs-member-list-header">
Description
</td>
</tr>
</thead>
<tbody>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '104', 104)" onmouseover="showTip(event, '104', 104)">
<p>
<a id="numcurl">
<a href="#numcurl">
<code><span>dsharp.numcurl <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="104">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numcurl <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numcurl.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numcurl.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L118-118" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '105', 105)" onmouseover="showTip(event, '105', 105)">
<p>
<a id="numcurldivergence">
<a href="#numcurldivergence">
<code><span>dsharp.numcurldivergence <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="105">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numcurldivergence <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numcurldivergence.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numcurldivergence.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L136-136" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '106', 106)" onmouseover="showTip(event, '106', 106)">
<p>
<a id="numdiff">
<a href="#numdiff">
<code><span>dsharp.numdiff <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="106">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numdiff <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numdiff.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numdiff.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L12-12" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '107', 107)" onmouseover="showTip(event, '107', 107)">
<p>
<a id="numdiff2">
<a href="#numdiff2">
<code><span>dsharp.numdiff2 <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="107">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numdiff2 <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numdiff2.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numdiff2.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L26-26" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '108', 108)" onmouseover="showTip(event, '108', 108)">
<p>
<a id="numdivergence">
<a href="#numdivergence">
<code><span>dsharp.numdivergence <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="108">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numdivergence <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numdivergence.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numdivergence.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L127-127" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '109', 109)" onmouseover="showTip(event, '109', 109)">
<p>
<a id="numfcurl">
<a href="#numfcurl">
<code><span>dsharp.numfcurl <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="109">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numfcurl <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numfcurl.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numfcurl.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L112-112" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '110', 110)" onmouseover="showTip(event, '110', 110)">
<p>
<a id="numfcurldivergence">
<a href="#numfcurldivergence">
<code><span>dsharp.numfcurldivergence <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="110">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numfcurldivergence <span>epsilon f x</span></span></code>
<br/>
<br/>
Parameters:
<ul>
<span>
<b>
epsilon
</b>
:
<code>float</code>
</span>
<br/>
<span>
<b>
f
</b>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
<span>
<b>
x
</b>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</span>
<br/>
</ul>
<br/>
<span>
Returns:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</span>
<br/>
</div>
</div>
</div>
</td>
<td class="fsdocs-member-xmldoc">
<div class="fsdocs-summary">
<div class="fsdocs-source-link" title="Copy signature (Markdown)" onclick="Clipboard_CopyTo('`cref:M:DiffSharp.Numerical.dsharp.numfcurldivergence.Static`')">
<img src="https://diffsharp.github.io/content/img/copy-md.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-md-hover.png" class="hover"/>
</div>
<div class="fsdocs-source-link" title="Copy signature (XML)" onclick="Clipboard_CopyTo('<see cref=\'M:DiffSharp.Numerical.dsharp.numfcurldivergence.Static\'/>')">
<img src="https://diffsharp.github.io/content/img/copy-xml.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/copy-xml-hover.png" class="hover"/>
</div>
<a href="https://github.com/DiffSharp/DiffSharp//tree/dev/src/DiffSharp.Core/DiffSharp.Numerical.fs#L130-130" class="fsdocs-source-link" title="Source on GitHub">
<img src="https://diffsharp.github.io/content/img/github.png" class="normal"/>
<img src="https://diffsharp.github.io/content/img/github-hover.png" class="hover"/>
</a>
<p class="fsdocs-summary">
TBD
</p>
</div>
<p>
Extended Type:
<code><a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a></code>
</p>
<dl class="fsdocs-params">
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
epsilon
</span>
:
<code>float</code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
f
</span>
:
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> -> <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
<dt class="fsdocs-param">
<span class="fsdocs-param-name">
x
</span>
:
<code><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></code>
</dt>
<dd class="fsdocs-param-docs"></dd>
</dl>
<dl class="fsdocs-returns">
<dt>
<span class="fsdocs-return-name">
Returns:
</span>
<code><span><a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> * <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a></span></code>
</dt>
<dd class="fsdocs-return-docs"></dd>
</dl>
</td>
</tr>
<tr>
<td class="fsdocs-member-usage">
<div>
<code onmouseout="hideTip(event, '111', 111)" onmouseover="showTip(event, '111', 111)">
<p>
<a id="numfdiff">
<a href="#numfdiff">
<code><span>dsharp.numfdiff <span>epsilon f x</span></span></code>
</a>
</a>
</p>
</code>
<div class="fsdocs-tip" id="111">
<div class="member-tooltip">
Full Usage:
<code><span>dsharp.numfdiff <span>epsilon f x</span></span></code>
<br/>
<br/>