330 lines
15 KiB
HTML
Executable file
330 lines
15 KiB
HTML
Executable file
<?xml version="1.0" encoding="ascii"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
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<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
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<title>Scientific.Geometry.TensorAnalysis.ScalarField</title>
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<a href="Scientific-module.html">Package Scientific</a> ::
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<a href="Scientific.Geometry-module.html">Package Geometry</a> ::
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<a href="Scientific.Geometry.TensorAnalysis-module.html">Module TensorAnalysis</a> ::
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Class ScalarField
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>[<a href="frames.html" target="_top">frames</a
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<!-- ==================== CLASS DESCRIPTION ==================== -->
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<h1 class="epydoc">Class ScalarField</h1><p class="nomargin-top"></p>
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<pre class="base-tree">
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<a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html">Functions.Interpolation.InterpolatingFunction</a> --+
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<a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html">TensorField</a> --+
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<strong class="uidshort">ScalarField</strong>
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</pre>
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<hr />
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<p>Scalar field (tensor field of rank 0)</p>
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<p>A subclass of TensorField.</p>
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<!-- ==================== INSTANCE METHODS ==================== -->
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<a name="section-InstanceMethods"></a>
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<table class="summary" border="1" cellpadding="3"
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cellspacing="0" width="100%" bgcolor="white">
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<tr bgcolor="#70b0f0" class="table-header">
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<td align="left" colspan="2" class="table-header">
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<span class="table-header">Instance Methods</span></td>
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</tr>
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<tr>
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<td width="15%" align="right" valign="top" class="summary">
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<span class="summary-type"> </span>
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</td><td class="summary">
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr>
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<td><span class="summary-sig"><a href="Scientific.Geometry.TensorAnalysis.ScalarField-class.html#__init__" class="summary-sig-name">__init__</a>(<span class="summary-sig-arg">self</span>,
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<span class="summary-sig-arg">axes</span>,
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<span class="summary-sig-arg">values</span>,
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<span class="summary-sig-arg">default</span>=<span class="summary-sig-default">None</span>,
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<span class="summary-sig-arg">period</span>=<span class="summary-sig-default"><code class="variable-group">(</code>None<code class="variable-op">, </code>None<code class="variable-op">, </code>None<code class="variable-group">)</code></span>,
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<span class="summary-sig-arg">check</span>=<span class="summary-sig-default">True</span>)</span></td>
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</td>
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</table>
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<tr>
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<td width="15%" align="right" valign="top" class="summary">
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<span class="summary-type"><a href="Scientific.Geometry.TensorAnalysis.VectorField-class.html"
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class="link">VectorField</a></span>
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</td><td class="summary">
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr>
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<td><span class="summary-sig"><a href="Scientific.Geometry.TensorAnalysis.ScalarField-class.html#gradient" class="summary-sig-name">gradient</a>(<span class="summary-sig-arg">self</span>)</span><br />
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Returns:
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the gradient</td>
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<td align="right" valign="top">
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</td>
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</tr>
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</table>
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</td>
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</tr>
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<tr>
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<td width="15%" align="right" valign="top" class="summary">
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<span class="summary-type"> </span>
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</td><td class="summary">
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr>
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<td><span class="summary-sig"><a href="Scientific.Geometry.TensorAnalysis.ScalarField-class.html#laplacian" class="summary-sig-name">laplacian</a>(<span class="summary-sig-arg">self</span>)</span><br />
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Returns:
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the laplacian (gradient of divergence) @rtype <a
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href="Scientific.Geometry.TensorAnalysis.ScalarField-class.html"
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class="link">ScalarField</a></td>
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<td align="right" valign="top">
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</td>
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</tr>
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</table>
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</td>
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</tr>
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<tr>
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<td colspan="2" class="summary">
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<p class="indent-wrapped-lines"><b>Inherited from <code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html">TensorField</a></code></b>:
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#__add__">__add__</a></code>,
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#__call__">__call__</a></code>,
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#__getitem__">__getitem__</a></code>,
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#__sub__">__sub__</a></code>,
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#allDerivatives">allDerivatives</a></code>,
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#derivative">derivative</a></code>,
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<code><a href="Scientific.Geometry.TensorAnalysis.TensorField-class.html#zero">zero</a></code>
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</p>
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<p class="indent-wrapped-lines"><b>Inherited from <code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html">Functions.Interpolation.InterpolatingFunction</a></code></b>:
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#__abs__">__abs__</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#__getattr__">__getattr__</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#__getslice__">__getslice__</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#__len__">__len__</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#arccos">arccos</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#arcsin">arcsin</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#arctan">arctan</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#cos">cos</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#cosh">cosh</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#definiteIntegral">definiteIntegral</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#exp">exp</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#fitPolynomial">fitPolynomial</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#integral">integral</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#log">log</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#selectInterval">selectInterval</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#sin">sin</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#sinh">sinh</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#sqrt">sqrt</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#tan">tan</a></code>,
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<code><a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#tanh">tanh</a></code>
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</p>
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</td>
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</tr>
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</table>
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<!-- ==================== METHOD DETAILS ==================== -->
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<a name="section-MethodDetails"></a>
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<table class="details" border="1" cellpadding="3"
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cellspacing="0" width="100%" bgcolor="white">
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<tr bgcolor="#70b0f0" class="table-header">
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<td align="left" colspan="2" class="table-header">
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<span class="table-header">Method Details</span></td>
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</tr>
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</table>
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<a name="__init__"></a>
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<div>
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<table class="details" border="1" cellpadding="3"
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cellspacing="0" width="100%" bgcolor="white">
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<tr><td>
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr valign="top"><td>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">__init__</span>(<span class="sig-arg">self</span>,
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<span class="sig-arg">axes</span>,
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<span class="sig-arg">values</span>,
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<span class="sig-arg">default</span>=<span class="sig-default">None</span>,
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<span class="sig-arg">period</span>=<span class="sig-default"><code class="variable-group">(</code>None<code class="variable-op">, </code>None<code class="variable-op">, </code>None<code class="variable-group">)</code></span>,
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<span class="sig-arg">check</span>=<span class="sig-default">True</span>)</span>
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<br /><em class="fname">(Constructor)</em>
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</h3>
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</td><td align="right" valign="top"
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>
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</td>
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</tr></table>
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<dl class="fields">
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<dt>Parameters:</dt>
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<dd><ul class="nomargin-top">
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<li><strong class="pname"><code>axes</code></strong> (sequence of <code>Numeric.array</code> of rank 1) - three arrays specifying the axis ticks for the three axes</li>
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<li><strong class="pname"><code>values</code></strong> (<code>Numeric.array</code> of 3 dimensions) - an array containing the field values. The three dimensions
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correspond to the x, y, z directions and must have lengths
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compatible with the axis arrays.</li>
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<li><strong class="pname"><code>default</code></strong> (number or <code>NoneType</code>) - the value of the field for points outside the grid. A value of
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'None' means that an exception will be raised for an attempt to
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evaluate the field outside the grid. Any other value must a
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tensor of the correct rank.</li>
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<li><strong class="pname"><code>period</code></strong> (sequence of length three) - the period for each of the variables, or <code>None</code> for
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variables in which the function is not periodic.</li>
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</ul></dd>
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<dt>Raises:</dt>
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<dd><ul class="nomargin-top">
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<li><code><strong class='fraise'>ValueError</strong></code> - if the arguments are not consistent</li>
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</ul></dd>
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<dt>Overrides:
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<a href="Scientific.Functions.Interpolation.InterpolatingFunction-class.html#__init__">Functions.Interpolation.InterpolatingFunction.__init__</a>
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</dt>
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</dl>
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</td></tr></table>
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</div>
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<a name="gradient"></a>
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<div>
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<table class="details" border="1" cellpadding="3"
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cellspacing="0" width="100%" bgcolor="white">
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<tr><td>
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr valign="top"><td>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">gradient</span>(<span class="sig-arg">self</span>)</span>
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</h3>
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</td><td align="right" valign="top"
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>
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</td>
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</tr></table>
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<dl class="fields">
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<dt>Returns: <a href="Scientific.Geometry.TensorAnalysis.VectorField-class.html"
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class="link">VectorField</a></dt>
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<dd>the gradient</dd>
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</dl>
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</td></tr></table>
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</div>
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<a name="laplacian"></a>
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<div>
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<table class="details" border="1" cellpadding="3"
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cellspacing="0" width="100%" bgcolor="white">
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<tr><td>
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<table width="100%" cellpadding="0" cellspacing="0" border="0">
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<tr valign="top"><td>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">laplacian</span>(<span class="sig-arg">self</span>)</span>
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</h3>
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</td><td align="right" valign="top"
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>
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</td>
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</tr></table>
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<dl class="fields">
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<dt>Returns:</dt>
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<dd>the laplacian (gradient of divergence) @rtype <a
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href="Scientific.Geometry.TensorAnalysis.ScalarField-class.html"
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class="link">ScalarField</a></dd>
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</dl>
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</td></tr></table>
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<br />
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