From: Eric S. Raymond <esr@thyrsus,com>
Date: Wed, 18 Feb 2004 10:15:41 +0000 (+0000)
Subject: Use eqn character names.
X-Git-Tag: 1.0~84
X-Git-Url: http://thyrsus.com/gitweb/?a=commitdiff_plain;h=137f1c3575d88c579ec40e6a3b954598be970bb7;p=mad.git

Use eqn character names.
---

diff --git a/doc/mad-manual.xml b/doc/mad-manual.xml
index b67c3df..419df5b 100644
--- a/doc/mad-manual.xml
+++ b/doc/mad-manual.xml
@@ -110,9 +110,10 @@ function-valued variables!</para>
 
 <para>On the other hand, there are some features of MAD which make one
 truly wonder what the designers were thinking &mdash; the handling of
-array indexing, for example.  If 1962 weren't a couple of years too
-early to attribute that to an LSD overdose it would make a tempting
-hypothesis.</para>
+array indexing, for example, with two different addressing systems one
+of which could mutate at runtime.  If 1962 weren't a couple of years
+too early to attribute that to an LSD overdose it would make a
+tempting hypothesis.</para>
 
 <para>In most of the respects we've described, however, MAD is very
 representative of its time.  This will become apparent from a look at
@@ -3049,6 +3050,32 @@ NORMAL MODE IS BOOLEAN
 <para>could have been used as tthe second statement of this program
 instead of the BOOLEAN declaration.</para>
 
+</sect2>
+<sect2><title>Example 3</title>
+
+<para><emphasis>Problem:</emphasis> To approximate 
+<subscript>a</subscript>&int;<superscript>b</superscript> f(x) by Simpson's
+Rule, for an arbitrary interval [a, b] using N equal subintervals
+(where N is an arbitrary even integer).</para>
+
+<para><emphasis>Analysis:</emphasis>By Simpson's Rule</para>
+
+<!--
+This is not a displayed equation in the original, but sort of inlined.
+Also the a attached to the integral sign is before it, not after,
+but eqn doesn't seem to be able to do that.
+-->
+<mediaobject>
+  <imageobject>
+    <imagedata fileref='equation5.png'/>
+  </imageobject>
+</mediaobject>
+
+<para>where y<subscript>i</subscript> =
+f(x<subscript>i</subscript>), and a = x<subscript>0</subscript>,
+x<subscript>1</subscript>, ... x<subscript>N</subscript> = b are the
+partition points of the interval [a,b].</para>
+
 </sect2>
 </sect1>
 </chapter>