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Imported Upstream version 1.72.0
[platform/upstream/boost.git] / libs / math / doc / html / math_toolkit / whittaker_shannon.html
diff --git a/libs/math/doc/html/math_toolkit/whittaker_shannon.html b/libs/math/doc/html/math_toolkit/whittaker_shannon.html
index 91b011c..4d0f8a3 100644 (file)
--- a/libs/math/doc/html/math_toolkit/whittaker_shannon.html
+++ b/libs/math/doc/html/math_toolkit/whittaker_shannon.html
@@ -4,9 +4,9 @@
 <title>Whittaker-Shannon interpolation</title>
 <link rel="stylesheet" href="../math.css" type="text/css">
 <meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
-<link rel="home" href="../index.html" title="Math Toolkit 2.10.0">
-<link rel="up" href="../interpolation.html" title="Chapter&#160;11.&#160;Interpolation">
-<link rel="prev" href="cardinal_quadratic_b.html" title="Cardinal Quadratic B-spline interpolation">
+<link rel="home" href="../index.html" title="Math Toolkit 2.11.0">
+<link rel="up" href="../interpolation.html" title="Chapter&#160;12.&#160;Interpolation">
+<link rel="prev" href="cardinal_quintic_b.html" title="Cardinal Quintic B-spline interpolation">
 <link rel="next" href="barycentric.html" title="Barycentric Rational Interpolation">
 </head>
 <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
@@ -20,7 +20,7 @@
 </tr></table>
 <hr>
 <div class="spirit-nav">
-<a accesskey="p" href="cardinal_quadratic_b.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../interpolation.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="barycentric.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
+<a accesskey="p" href="cardinal_quintic_b.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../interpolation.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="barycentric.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
 </div>
 <div class="section">
 <div class="titlepage"><div><div><h2 class="title" style="clear: both">
@@ -61,10 +61,10 @@
       smooth, but has linear complexity in the data, making it slow relative to compactly-supported
       b-splines. In addition, we cannot pass an infinite amount of data into the
       class, and must truncate the (perhaps) infinite sinc series to a finite number
-      of terms. Since the sinc function has slow 1/x decay, the truncation of the
-      series can incur large error. Hence this interpolator works best when operating
-      on samples of compactly supported functions. Here is an example of interpolating
-      a smooth "bump function":
+      of terms. Since the sinc function has slow <span class="emphasis"><em>1/x</em></span> decay,
+      the truncation of the series can incur large error. Hence this interpolator
+      works best when operating on samples of compactly-supported functions. Here
+      is an example of interpolating a smooth "bump function":
     </p>
 <pre class="programlisting"><span class="keyword">auto</span> <span class="identifier">bump</span> <span class="special">=</span> <span class="special">[](</span><span class="keyword">double</span> <span class="identifier">x</span><span class="special">)</span> <span class="special">{</span> <span class="keyword">if</span> <span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">abs</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">&gt;=</span> <span class="number">1</span><span class="special">)</span> <span class="special">{</span> <span class="keyword">return</span> <span class="number">0.0</span><span class="special">;</span> <span class="special">}</span> <span class="keyword">return</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">exp</span><span class="special">(-</span><span class="number">1.0</span><span class="special">/(</span><span class="number">1.0</span><span class="special">-</span><span class="identifier">x</span><span class="special">*</span><span class="identifier">x</span><span class="special">));</span> <span class="special">};</span>
 
@@ -78,7 +78,6 @@
     <span class="identifier">v</span><span class="special">[</span><span class="identifier">i</span><span class="special">]</span> <span class="special">=</span> <span class="identifier">bump</span><span class="special">(</span><span class="identifier">t</span><span class="special">);</span>
 <span class="special">}</span>
 
-
 <span class="keyword">auto</span> <span class="identifier">ws</span> <span class="special">=</span> <span class="identifier">whittaker_shannon</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">move</span><span class="special">(</span><span class="identifier">v</span><span class="special">),</span> <span class="identifier">t0</span><span class="special">,</span> <span class="identifier">h</span><span class="special">);</span>
 
 <span class="keyword">double</span> <span class="identifier">y</span> <span class="special">=</span> <span class="identifier">ws</span><span class="special">(</span><span class="number">0.3</span><span class="special">);</span>
@@ -96,7 +95,7 @@
     </h4>
 <p>
       The call to the constructor requires &#119926;(1) operations, simply moving data into
-      the class. Each call the the interpolant is &#119926;(<span class="emphasis"><em>n</em></span>), where
+      the class. Each call to the interpolant is &#119926;(<span class="emphasis"><em>n</em></span>), where
       <span class="emphasis"><em>n</em></span> is the number of points to interpolate.
     </p>
 </div>
@@ -114,7 +113,7 @@
 </tr></table>
 <hr>
 <div class="spirit-nav">
-<a accesskey="p" href="cardinal_quadratic_b.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../interpolation.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="barycentric.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
+<a accesskey="p" href="cardinal_quintic_b.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../interpolation.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="barycentric.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a>
 </div>
 </body>
 </html>
Domain: System / Base;