replace '<A NAME=' with '<A ID='
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node184.html
84
node184.html
@@ -30,43 +30,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BODY >
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<!--Navigation Panel-->
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<A NAME="tex2html3311"
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<A ID="tex2html3311"
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HREF="node185.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
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SRC="next.png"></A>
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<A NAME="tex2html3305"
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<A ID="tex2html3305"
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HREF="book.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
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SRC="up.png"></A>
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<A NAME="tex2html3299"
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<A ID="tex2html3299"
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HREF="node183.html">
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<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"
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SRC="prev.png"></A>
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<A NAME="tex2html3307"
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<A ID="tex2html3307"
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HREF="node4.html">
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents"
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SRC="contents.png"></A>
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<A NAME="tex2html3309"
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<A ID="tex2html3309"
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HREF="node201.html">
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<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
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SRC="index.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html3312"
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<B> Next:</B> <A ID="tex2html3312"
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HREF="node185.html">Symmetries and Fourier series</A>
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<B> Up:</B> <A NAME="tex2html3306"
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<B> Up:</B> <A ID="tex2html3306"
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HREF="book.html">book</A>
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<B> Previous:</B> <A NAME="tex2html3300"
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<B> Previous:</B> <A ID="tex2html3300"
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HREF="node183.html">Exercises</A>
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<B> <A NAME="tex2html3308"
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<B> <A ID="tex2html3308"
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HREF="node4.html">Contents</A></B>
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<B> <A NAME="tex2html3310"
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<B> <A ID="tex2html3310"
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HREF="node201.html">Index</A></B>
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<BR>
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<BR>
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<!--End of Navigation Panel-->
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<H1><A NAME="SECTION001400000000000000000"></A>
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<A NAME="chapter-waveforms"></A>
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<H1><A ID="SECTION001400000000000000000"></A>
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<A ID="chapter-waveforms"></A>
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<BR>
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Classical waveforms
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</H1>
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@@ -82,12 +82,12 @@ controllable endpoints. This approach is historically at least as important
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as the others, and was dominant during the
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analog synthesizer period, approximately 1965-1985.
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For lack of a better name, we'll use the term
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<A NAME="14228"></A><I>classical waveforms</I>
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<A ID="14228"></A><I>classical waveforms</I>
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to denote waveforms composed of line segments.
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig10.01"></A><A NAME="14232"></A>
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<DIV ALIGN="CENTER"><A ID="fig10.01"></A><A ID="14232"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 10.1:</STRONG>
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Classical waveforms: (a) the sawtooth, (b) the triangle, and (c)
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@@ -102,7 +102,7 @@ shown as functions of a continuous variable (not sampled).</CAPTION>
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<P>
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They include the
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<A NAME="14235"></A><A NAME="14236"></A><A NAME="14237"></A><I>sawtooth</I>, <I>triangle</I>, and <I>rectangle</I> waves pictured in Figure
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<A ID="14235"></A><A ID="14236"></A><A ID="14237"></A><I>sawtooth</I>, <I>triangle</I>, and <I>rectangle</I> waves pictured in Figure
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<A HREF="#fig10.01">10.1</A>, among many other possibilities. The salient features of
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classical waveforms are either discontinuous jumps (changes in value) or
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corners (changes in slope). In the figure, the sawtooth and rectangle waves
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@@ -150,87 +150,87 @@ foldover is produced, and careful handling will help us control it.
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<P>
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<BR><HR>
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<!--Table of Child-Links-->
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<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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<A ID="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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<UL>
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<LI><A NAME="tex2html3313"
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<LI><A ID="tex2html3313"
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HREF="node185.html">Symmetries and Fourier series</A>
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<UL>
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<LI><A NAME="tex2html3314"
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<LI><A ID="tex2html3314"
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HREF="node186.html">Sawtooth waves and symmetry</A>
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</UL>
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<BR>
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<LI><A NAME="tex2html3315"
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<LI><A ID="tex2html3315"
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HREF="node187.html">Dissecting classical waveforms</A>
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<LI><A NAME="tex2html3316"
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<LI><A ID="tex2html3316"
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HREF="node188.html">Fourier series of the elementary waveforms</A>
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<UL>
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<LI><A NAME="tex2html3317"
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<LI><A ID="tex2html3317"
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HREF="node189.html">Sawtooth wave</A>
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<LI><A NAME="tex2html3318"
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<LI><A ID="tex2html3318"
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HREF="node190.html">Parabolic wave</A>
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<LI><A NAME="tex2html3319"
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<LI><A ID="tex2html3319"
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HREF="node191.html">Square and symmetric triangle waves</A>
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<LI><A NAME="tex2html3320"
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<LI><A ID="tex2html3320"
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HREF="node192.html">General (non-symmetric) triangle wave</A>
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</UL>
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<BR>
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<LI><A NAME="tex2html3321"
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<LI><A ID="tex2html3321"
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HREF="node193.html">Predicting and controlling foldover</A>
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<UL>
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<LI><A NAME="tex2html3322"
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<LI><A ID="tex2html3322"
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HREF="node194.html">Over-sampling</A>
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<LI><A NAME="tex2html3323"
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<LI><A ID="tex2html3323"
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HREF="node195.html">Sneaky triangle waves</A>
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<LI><A NAME="tex2html3324"
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<LI><A ID="tex2html3324"
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HREF="node196.html">Transition splicing</A>
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</UL>
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<BR>
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<LI><A NAME="tex2html3325"
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<LI><A ID="tex2html3325"
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HREF="node197.html">Examples</A>
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<UL>
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<LI><A NAME="tex2html3326"
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<LI><A ID="tex2html3326"
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HREF="node198.html">Combining sawtooth waves</A>
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<LI><A NAME="tex2html3327"
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<LI><A ID="tex2html3327"
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HREF="node199.html">Strategies for band-limiting sawtooth waves</A>
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</UL>
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<BR>
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<LI><A NAME="tex2html3328"
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<LI><A ID="tex2html3328"
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HREF="node200.html">Exercises</A>
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</UL>
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<!--End of Table of Child-Links-->
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<HR>
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<!--Navigation Panel-->
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<A NAME="tex2html3311"
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<A ID="tex2html3311"
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HREF="node185.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
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SRC="next.png"></A>
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<A NAME="tex2html3305"
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<A ID="tex2html3305"
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HREF="book.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
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SRC="up.png"></A>
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<A NAME="tex2html3299"
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<A ID="tex2html3299"
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HREF="node183.html">
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<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"
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SRC="prev.png"></A>
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<A NAME="tex2html3307"
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<A ID="tex2html3307"
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HREF="node4.html">
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents"
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SRC="contents.png"></A>
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<A NAME="tex2html3309"
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<A ID="tex2html3309"
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HREF="node201.html">
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<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
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SRC="index.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html3312"
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<B> Next:</B> <A ID="tex2html3312"
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HREF="node185.html">Symmetries and Fourier series</A>
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<B> Up:</B> <A NAME="tex2html3306"
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<B> Up:</B> <A ID="tex2html3306"
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HREF="book.html">book</A>
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<B> Previous:</B> <A NAME="tex2html3300"
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<B> Previous:</B> <A ID="tex2html3300"
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HREF="node183.html">Exercises</A>
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<B> <A NAME="tex2html3308"
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<B> <A ID="tex2html3308"
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HREF="node4.html">Contents</A></B>
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<B> <A NAME="tex2html3310"
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<B> <A ID="tex2html3310"
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HREF="node201.html">Index</A></B>
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<!--End of Navigation Panel-->
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<ADDRESS>
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