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	<title>Homework How-to &#187; twice</title>
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		<title>Saddle-Point Approximation</title>
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		<pubDate>Fri, 06 Nov 2009 01:44:54 +0000</pubDate>
		<dc:creator>Christine</dc:creator>
				<category><![CDATA[Calculus]]></category>
		<category><![CDATA[a]]></category>
		<category><![CDATA[approximation]]></category>
		<category><![CDATA[b]]></category>
		<category><![CDATA[descent]]></category>
		<category><![CDATA[differentiable]]></category>
		<category><![CDATA[function]]></category>
		<category><![CDATA[infinite]]></category>
		<category><![CDATA[infinity]]></category>
		<category><![CDATA[integral]]></category>
		<category><![CDATA[Laplace]]></category>
		<category><![CDATA[large]]></category>
		<category><![CDATA[m]]></category>
		<category><![CDATA[method]]></category>
		<category><![CDATA[number]]></category>
		<category><![CDATA[point]]></category>
		<category><![CDATA[saddle]]></category>
		<category><![CDATA[saddle-point]]></category>
		<category><![CDATA[steepest]]></category>
		<category><![CDATA[twice]]></category>
		<category><![CDATA[twice-differentiable]]></category>

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		<description><![CDATA[Saddle-Point Approximation Explained


Description

A detailed tutorial on saddle-point approximation. Step by step tutorial including several examples of saddle-point approximation for reference.

Overview

Saddle-point approximation is also referred to as the method of steepest descent and Laplace&#8217;s method. It is a way of approximating integrals in the form f(x) is some twice-differentiable function, M is a large number, and [...]]]></description>
			<content:encoded><![CDATA[<h3><strong>Saddle-Point Approximation Explained</strong></h3>
<p><a href="http://homeworkhowto.com/saddle-point-approximation/"><em>Click here to view the embedded video.</em></a></p>
<hr /><strong></p>
<p class="content_description">Description</p>
<p></strong></p>
<p>A detailed tutorial on saddle-point approximation. Step by step tutorial including several examples of saddle-point approximation for reference.</p>
<p><strong></p>
<p class="content_overview">Overview</p>
<p></strong></p>
<p>Saddle-point approximation is also referred to as the method of steepest descent and Laplace&#8217;s method. It is a way of approximating integrals in the form <img src='http://s.wordpress.com/latex.php?latex=%5Cint_a%5Eb%5C%21%20e%5E%7BM%20f%28x%29%7Ddx%5C%2C&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\int_a^b\! e^{M f(x)}dx\,' title='\int_a^b\! e^{M f(x)}dx\,' class='latex' />. f(x) is some twice-differentiable function, M is a large number, and the integral endpoints a and b have a possibilty of being infinite.</p>
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