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<TITLE>Case 2 (#tex2html_wrap_inline68839#)</TITLE>
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<b>Data Structures and Algorithms
with Object-Oriented Design Patterns in C++</b><br>
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<H4><A NAME="SECTION0015340200000000000000">Case 2 ( <IMG WIDTH=42 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline68839" SRC="img1908.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1908.gif" >)</A></H4>
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In this case the term <IMG WIDTH=30 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline68827" SRC="img1903.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1903.gif" > is exactly one.
Therefore, the series summation in Equation <A HREF="page459.html#eqnalgsiii" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page459.html#eqnalgsiii"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A> is simply
<P> <IMG WIDTH=319 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath68837" SRC="img1909.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1909.gif" ><P>
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Substituting this result into Equation <A HREF="page459.html#eqnalgsiii" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page459.html#eqnalgsiii"><IMG ALIGN=BOTTOM ALT="gif" SRC="cross_ref_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/cross_ref_motif.gif"></A>
and making use of the fact that <IMG WIDTH=48 HEIGHT=11 ALIGN=BOTTOM ALT="tex2html_wrap_inline68811" SRC="img1896.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1896.gif" > and <IMG WIDTH=42 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline68839" SRC="img1908.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1908.gif" > gives
<P> <IMG WIDTH=500 HEIGHT=111 ALIGN=BOTTOM ALT="eqnarray33093" SRC="img1910.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/img1910.gif" ><P><HR><A NAME="tex2html7620" HREF="page462.html" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page462.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="next_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/next_motif.gif"></A> <A NAME="tex2html7618" HREF="page459.html" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page459.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="up_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/up_motif.gif"></A> <A NAME="tex2html7612" HREF="page460.html" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page460.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="previous_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/previous_motif.gif"></A> <A NAME="tex2html7622" HREF="page9.html" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page9.html"><IMG WIDTH=65 HEIGHT=24 ALIGN=BOTTOM ALT="contents" SRC="contents_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/contents_motif.gif"></A> <A NAME="tex2html7623" HREF="page620.html" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/html/page620.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="index_motif.gif" tppabs="http://dictator.uwaterloo.ca/Bruno.Preiss/books/opus4/icons/index_motif.gif"></A> <P><ADDRESS>
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