# LaTeX2HTML 95.1 (Fri Jan 20 1995)
# Associate image original text (scrambled) with physical files.

$key = q/{_inline}$bullet${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img16.gif">'; 
$key = q/{tabular}[t]p3.5inp3.5inminipage[t]linewidthlist_inline$bullet$_inline%setlengthtopsep0insetlengthpartopsep0insetlengthitemsep0insetlengthparsep0insetlengthleftmargin1.5emsetlengthrightmargin0insetlengthitemindent0initem[]obeyspacesobeylinesfootnotesizett(defineones(cons-stream1ones))listminipage;SPM_amp;minipage[t]linewidthlist_inline$bullet$_inline%setlengthtopsep0insetlengthpartopsep0insetlengthitemsep0insetlengthparsep0insetlengthleftmargin1.5emsetlengthrightmargin0insetlengthitemindent0initem[]obeyspacesobeylinesfootnotesizett(definetwos(cons-stream2twos))listminipage{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img2.gif">'; 
$key = q/{_inline}${langlex,yrangle;|;x,yinPositiveIntegers}${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img20.gif">'; 
$key = q/{_inline}$f(x)=(a_0x+a_1x+a_2x^2+a_3x^3+ldots)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img6.gif">'; 
$key = q/{_inline}$ldots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img15.gif">'; 
$key = q/{tabular}p3.5inp3.5invspace-0.7inminipage[t]linewidthlist_inline$bullet$_inline%setlengthtopsep0insetlengthpartopsep0insetlengthitemsep0insetlengthparsep0insetlengthleftmargin1.5emsetlengthrightmargin0insetlengthitemindent0initem[]obeyspacesobeylinesfootnotesizett(define(pairsst)colorHiddenAnswer(cons-stream(list(stream-cars)(stream-cart))(interleave(stream-map(lambda(x)(list(stream-cars)x))(stream-cdrt))(pairs(stream-cdrs)t))colorEndOfAnswer))nulllistminipage;SPM_amp;tabularc|cccccc;SPM_amp;1;SPM_amp;2;SPM_amp;3;SPM_amp;4;SPM_amp;5;SPM_amp;ldotshline1;SPM_amp;_inline$langle1,1rangle$_inline;SPM_amp;_inline$langle1,2rangle$_inline;SPM_amp;_inline$langle1,3rangle$_inline;SPM_amp;_inline$langle1,4rangle$_inline;SPM_amp;_inline$langle1,5rangle$_inline;SPM_amp;ldots2;SPM_amp;_inline$langle2,1rangle$_inline;SPM_amp;_inline$langle2,2rangle$_inline;SPM_amp;_inline$langle2,3rangle$_inline;SPM_amp;_inline$langle2,4rangle$_inline;SPM_amp;_inline$langle2,5rangle$_inline;SPM_amp;ldots3;SPM_amp;_inline$langle3,1rangle$_inline;SPM_amp;_inline$langle3,2rangle$_inline;SPM_amp;_inline$langle3,3rangle$_inline;SPM_amp;_inline$langle3,4rangle$_inline;SPM_amp;_inline$langle3,5rangle$_inline;SPM_amp;ldots4;SPM_amp;_inline$langle4,1rangle$_inline;SPM_amp;_inline$langle4,2rangle$_inline;SPM_amp;_inline$langle4,3rangle$_inline;SPM_amp;_inline$langle4,4rangle$_inline;SPM_amp;_inline$langle4,5rangle$_inline;SPM_amp;ldots5;SPM_amp;_inline$langle5,1rangle$_inline;SPM_amp;_inline$langle5,2rangle$_inline;SPM_amp;_inline$langle5,3rangle$_inline;SPM_amp;_inline$langle5,4rangle$_inline;SPM_amp;_inline$langle5,5rangle$_inline;SPM_amp;ldotsvdots;SPM_amp;vdots;SPM_amp;vdots;SPM_amp;vdots;SPM_amp;vdots;SPM_amp;vdotstabular{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img21.gif">'; 
$key = q/{_inline}$e^x=1+x+fracx^22!+fracx^33!+fracx^44!+ldots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img9.gif">'; 
$key = q/{_inline}$;;f(x)=frac11-x=1+x+x^2+x^3+ldots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img8.gif">'; 
$key = q/{_inline}$e^x${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img11.gif">'; 
$key = q/{tabular}cccccccccccccccc_inline$e^x$_inline;SPM_amp;=;SPM_amp;1;SPM_amp;_inline$+x$_inline;SPM_amp;_inline$+fracx^22!$_inline;SPM_amp;_inline$+fracx^33!$_inline;SPM_amp;_inline$+fracx^44!$_inline;SPM_amp;_inline$+fracx^55!$_inline;SPM_amp;_inline$+fracx^66!$_inline;SPM_amp;_inline$+ldots$_inline_inline$cos(x)$_inline;SPM_amp;=;SPM_amp;1;SPM_amp;_inline$+0$_inline;SPM_amp;_inline$-fracx^22!$_inline;SPM_amp;_inline$+0$_inline;SPM_amp;_inline$+fracx^44!$_inline;SPM_amp;_inline$+0$_inline;SPM_amp;_inline$-fracx^66!$_inline;SPM_amp;_inline$+ldots$_inlinehline;SPM_amp;;SPM_amp;colorHiddenAnswer1colorEndOfAnswer;SPM_amp;colorHiddenAnswer0colorEndOfAnswer;SPM_amp;colorHiddenAnswer-1colorEndOfAnswer;SPM_amp;colorHiddenAnswer0colorEndOfAnswer;SPM_amp;colorHiddenAnswer1colorEndOfAnswer;SPM_amp;colorHiddenAnswer0colorEndOfAnswer;SPM_amp;colorHiddenAnswer-1colorEndOfAnswer;SPM_amp;_inline$ldots$_inline{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img18.gif">'; 
$key = q/{_inline}$(a_0;a_1;a_2;a_3;ldots)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img7.gif">'; 
$key = q/{_inline}$cos(x)=1-fracx^22!+fracx^44!-fracx^66!+ldots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img17.gif">'; 
$key = q/{tabular}[t]p3.5inp3inminipage[t]linewidthlist_inline$bullet$_inline%setlengthtopsep0insetlengthpartopsep0insetlengthitemsep0insetlengthparsep0insetlengthleftmargin1.5emsetlengthrightmargin0insetlengthitemindent0initem[]obeyspacesobeylinesfootnotesizett(define(forceobj)(obj))listminipage;SPM_amp;minipage[t]linewidthlist_inline$bullet$_inline%setlengthtopsep0insetlengthpartopsep0insetlengthitemsep0insetlengthparsep0insetlengthleftmargin1.5emsetlengthrightmargin0insetlengthitemindent0initem[]obeyspacesobeylinesfootnotesizett(define(stream-carstream)(carstream))listminipageminipage[t]linewidthlist_inline$bullet$_inline%setlengthtopsep0insetlengthpartopsep0insetlengthitemsep0insetlengthparsep0insetlengthleftmargin1.5emsetlengthrightmargin0insetlengthitemindent0initem[]obeyspacesobeylinesfootnotesizett(define(stream-cdrstream)(force(cdrstream)))listminipage{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img1.gif">'; 

1;

