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| author | Anas Nashif <anas.nashif@intel.com> | 2012-10-30 12:57:26 -0700 |
|---|---|---|
| committer | Anas Nashif <anas.nashif@intel.com> | 2012-10-30 12:57:26 -0700 |
| commit | 1a78a62555be32868418fe52f8e330c9d0f95d5a (patch) | |
| tree | d3765a80e7d3b9640ec2e930743630cd6b9fce2b /libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html | |
| download | boost-1a78a62555be32868418fe52f8e330c9d0f95d5a.tar.gz boost-1a78a62555be32868418fe52f8e330c9d0f95d5a.tar.bz2 boost-1a78a62555be32868418fe52f8e330c9d0f95d5a.zip | |
Imported Upstream version 1.49.0upstream/1.49.0
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| -rw-r--r-- | libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html | 81 |
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diff --git a/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html b/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html new file mode 100644 index 0000000000..857ea2a469 --- /dev/null +++ b/libs/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html @@ -0,0 +1,81 @@ +<html> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> +<title>Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview</title> +<link rel="stylesheet" href="../../../../../../../../doc/src/boostbook.css" type="text/css"> +<meta name="generator" content="DocBook XSL Stylesheets V1.76.1"> +<link rel="home" href="../../../index.html" title="Math Toolkit"> +<link rel="up" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions"> +<link rel="prev" href="../sinc.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions"> +<link rel="next" href="sinc_pi.html" title="sinc_pi"> +</head> +<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> +<table cellpadding="2" width="100%"><tr> +<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../../../../../boost.png"></td> +<td align="center"><a href="../../../../../../../../index.html">Home</a></td> +<td align="center"><a href="../../../../../../../../libs/libraries.htm">Libraries</a></td> +<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> +<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> +<td align="center"><a href="../../../../../../../../more/index.htm">More</a></td> +</tr></table> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="../sinc.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../sinc.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="sinc_pi.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a> +</div> +<div class="section math_toolkit_special_sinc_sinc_overview"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="math_toolkit.special.sinc.sinc_overview"></a><a class="link" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">Sinus Cardinal + and Hyperbolic Sinus Cardinal Functions Overview</a> +</h4></div></div></div> +<p> + The <a href="http://mathworld.wolfram.com/SincFunction.html" target="_top">Sinus Cardinal + family of functions</a> (indexed by the family of indices <code class="literal">a + > 0</code>) is defined by + </p> +<p> + <span class="inlinemediaobject"><img src="../../../../equations/special_functions_blurb20.png"></span> + </p> +<p> + it sees heavy use in signal processing tasks. + </p> +<p> + By analogy, the <a href="http://mathworld.wolfram.com/SinhcFunction.htm" target="_top">Hyperbolic + Sinus Cardinal</a> family of functions (also indexed by the family + of indices <code class="literal">a > 0</code>) is defined by + </p> +<p> + <span class="inlinemediaobject"><img src="../../../../equations/special_functions_blurb22.png"></span> + </p> +<p> + These two families of functions are composed of entire functions. + </p> +<p> + These functions (<a class="link" href="sinc_pi.html" title="sinc_pi">sinc_pi</a> + and <a class="link" href="sinhc_pi.html" title="sinhc_pi">sinhc_pi</a>) + are needed by <a href="http://www.boost.org/libs/math/quaternion/quaternion.html" target="_top">our + implementation</a> of <a href="http://mathworld.wolfram.com/Quaternion.html" target="_top">quaternions</a> + and <a href="http://mathworld.wolfram.com/Octonion.html" target="_top">octonions</a>. + </p> +<div class="blockquote"><blockquote class="blockquote"><p> + <span class="emphasis"><em><span class="bold"><strong>Sinus Cardinal of index pi (purple) and + Hyperbolic Sinus Cardinal of index pi (red) on R</strong></span></em></span> + </p></blockquote></div> +<div class="blockquote"><blockquote class="blockquote"><p> + <span class="inlinemediaobject"><img src="../../../../graphs/sinc_pi_and_sinhc_pi_on_r.png" alt="sinc_pi_and_sinhc_pi_on_r"></span> + </p></blockquote></div> +</div> +<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> +<td align="left"></td> +<td align="right"><div class="copyright-footer">Copyright © 2006-2010 John Maddock, Paul A. Bristow, Hubert Holin, Xiaogang Zhang, Bruno + Lalande, Johan Råde, Gautam Sewani and Thijs van den Berg<p> + Distributed under the Boost Software License, Version 1.0. (See accompanying + file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) + </p> +</div></td> +</tr></table> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="../sinc.html"><img src="../../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../sinc.html"><img src="../../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="sinc_pi.html"><img src="../../../../../../../../doc/src/images/next.png" alt="Next"></a> +</div> +</body> +</html> |