# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{displaymath}Pr(D_textttTar=d)=frac1Dqquadmboxon[0..D]{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=323 HEIGHT=143 ALIGN=BOTTOM ALT="displaymath301" SRC="img32.gif"  > '; 
$key = q/{align*}j;SPMamp;=frac1Dint_0^Dx,dx;SPMamp;=frac1Dleft|fracx^22right|_x=0^D;SPMamp;=frac1DfracD^2-02=fracD2{align*}/;
$cached_env_img{$key} = ' <IMG WIDTH=149 HEIGHT=40 ALIGN=BOTTOM ALT="align152" SRC="img33.gif"  > '; 
$key = q/{_inline}$deltaD${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=480 HEIGHT=318 ALIGN=BOTTOM ALT="tex2html_wrap_inline315" SRC="img35.gif"  > '; 
$key = q/{align}labelS:areasplitA(sigma_1);SPMamp;=rleft((pi)+(3pi)+(5pi)+(7pi)+cdotsright);SPMamp;=sum_i=1^n(2i-1)pirA(sigma_2);SPMamp;=rleft((pi+3pi)+(5pi+7pi)+cdotsright);SPMamp;=sum_i=1^n(8i-4)pirA(sigma_3);SPMamp;=rleft((pi+3pi+5pi)+(7pi+9pi+11pi)+cdotsright);SPMamp;=sum_i=1^n(18i-9)pir;SPMamp;vdotssplitA(sigma_j);SPMamp;=sum_i=1^n(2j^2i-j^2)pirlabelS:j-area{align}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=14 ALIGN=BOTTOM ALT="align89" SRC="img20.gif"  > '; 
$key = q/{displaymath}j=int_deltaDPr(x)cdotx,dx{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=260 HEIGHT=12 ALIGN=BOTTOM ALT="displaymath302" SRC="img34.gif"  > '; 
$key = q/{figure}[ht]psfigfigure=psReal-cr.ps,width=0.8textwidthlabelReal-cr{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=49 HEIGHT=13 ALIGN=BOTTOM ALT="figure119" SRC="img23.gif"  > '; 
$key = q/{_inline}$vllR${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=26 HEIGHT=48 ALIGN=MIDDLE ALT="tex2html_wrap_inline269" SRC="img24.gif"  > '; 
$key = q/{_inline}${mathcalZmathcalZ_infty}=emptyset${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=554 HEIGHT=116 ALIGN=MIDDLE ALT="tex2html_wrap_inline251" SRC="img13.gif"  > '; 
$key = q/{align}labelS:familysplitD(sigma_1);SPMamp;=r+pir+4r+3pir+8r+5pir+12r+7pir+16r+cdots;SPMamp;=sum_i=1^n(4i-2)r+(2i-1)pirD(sigma_2);SPMamp;=r+pir+2r+3pir+8r+5pir+2r+7pir+16r+cdots;SPMamp;=sum_i=1^n(8i-2)r+(8i-4)pirD(sigma_3);SPMamp;=r+pir+2r+3pir+2r+5pir+12r+7pir+2r+cdots;SPMamp;=sum_i=1^n(12i-2)r+(18i-9)pir;SPMamp;vdotssplitD(sigma_j);SPMamp;=sum_i=1^n(4ji-2)r+(2j^2i-j^2)pirlabelS:j-fam{align}/;
$cached_env_img{$key} = ' <IMG WIDTH=54 HEIGHT=8 ALIGN=BOTTOM ALT="align65" SRC="img15.gif"  > '; 
$key = q/{_inline}$sigma_10${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=471 HEIGHT=494 ALIGN=MIDDLE ALT="tex2html_wrap_inline295" SRC="img2.gif"  > '; 
$key = q/{displaymath}CR=fracD_d(sigma_j)2d{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=294 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath275" SRC="img30.gif"  > '; 
$key = q/{_inline}$lceilcdotrceil${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=51 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline285" SRC="img26.gif"  > '; 
$key = q/{_inline}$D_d(sigma_j)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=348 HEIGHT=159 ALIGN=MIDDLE ALT="tex2html_wrap_inline287" SRC="img27.gif"  > '; 
$key = q/{_inline}$sigma_iinS${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=20 ALIGN=MIDDLE ALT="tex2html_wrap_inline239" SRC="img9.gif"  > '; 
$key = q/{align*}D_d(sigma_j);SPMamp;=sum_i=1^lceilfracdrjrceil(4ij-2)r+(2i-1)pij^2r;SPMamp;=leftlceilfracdrjrightrceilleft((pij^2+2j)leftlceilfracdrjrightrceil+2jr-2rright){align*}/;
$cached_env_img{$key} = ' <IMG WIDTH=22 HEIGHT=11 ALIGN=BOTTOM ALT="align129" SRC="img28.gif"  > '; 
$key = q/{figure}[!bh]epsfigfigure=epskissing.eps,width=0.7textwidthlabelKiss{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=481 HEIGHT=330 ALIGN=BOTTOM ALT="figure166" SRC="img36.gif"  > '; 
$key = q/{_inline}$mathcalZ${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=55 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline243" SRC="img10.gif"  > '; 
$key = q/{_inline}$lceilfracdrjrceil${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=23 ALIGN=MIDDLE ALT="tex2html_wrap_inline281" SRC="img25.gif"  > '; 
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ''; 
$key = q/{}epsfigfigure=epskissing.eps,width=0.2textheight{}/;
$cached_env_img{$key} = ' <IMG WIDTH=187 HEIGHT=124 ALIGN=BOTTOM ALT="tex2html_wrap230" SRC="img4.gif"  > '; 
$key = q/{figure}[ht]epsfigfigure=epsspiral.eps,width=0.7textwidthlabelspiral{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=47 HEIGHT=15 ALIGN=BOTTOM ALT="figure48" SRC="img8.gif"  > '; 
$key = q/{_inline}$mathcalR^2mathcalR^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=22 HEIGHT=17 ALIGN=MIDDLE ALT="tex2html_wrap_inline235" SRC="img7.gif"  > '; 
$key = q/{_inline}$D_textttTarget=d${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=242 HEIGHT=49 ALIGN=MIDDLE ALT="tex2html_wrap_inline309" SRC="img31.gif"  > '; 
$key = q/{_inline}${mathcalZmathcalZ_i}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=17 ALIGN=MIDDLE ALT="tex2html_wrap_inline245" SRC="img11.gif"  > '; 
$key = q/{}epsfigfigure=epsspiral.eps,width=0.2textheight{}/;
$cached_env_img{$key} = ' <IMG WIDTH=327 HEIGHT=953 ALIGN=BOTTOM ALT="tex2html_wrap228" SRC="img3.gif"  > '; 
$key = q/{_inline}$sigma_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=97 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline247" SRC="img12.gif"  > '; 
$key = q/{_inline}$D_i=fracdv_iv_1+v_2+fracr2,,foralliin{1,2}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=7 HEIGHT=17 ALIGN=MIDDLE ALT="tex2html_wrap_inline325" SRC="img38.gif"  > '; 
$key = q/{_inline}$sigma_infty${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=480 HEIGHT=395 ALIGN=MIDDLE ALT="tex2html_wrap_inline237" SRC="img1.gif"  > '; 
$key = q/{_inline}$D_w${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=598 HEIGHT=176 ALIGN=MIDDLE ALT="tex2html_wrap_inline259" SRC="img18.gif"  > '; 
$key = q/{_inline}$sigma_j${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=577 HEIGHT=238 ALIGN=MIDDLE ALT="tex2html_wrap_inline265" SRC="img21.gif"  > '; 
$key = q/{align}labelS:infsplitD(sigma_infty);SPMamp;=r+pir+2r+3pir+2r+5pir+2r+7pir+cdots;SPMamp;=sum_i=1^infty2r+(2i-1)pirsplit{align}/;
$cached_env_img{$key} = ' <IMG WIDTH=579 HEIGHT=344 ALIGN=BOTTOM ALT="align59" SRC="img14.gif"  > '; 
$key = q/{figure}[ht]epsfigfigure=epskissing-theta.eps,width=0.7textwidthlabelKiss-theta{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=204 HEIGHT=25 ALIGN=BOTTOM ALT="figure177" SRC="img37.gif"  > '; 
$key = q/{figure}[ht]psfigfigure=psdist.ps,width=0.7textwidthlabelDist{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=105 HEIGHT=37 ALIGN=BOTTOM ALT="figure139" SRC="img29.gif"  > '; 
$key = q/{_inline}$ntoinfty${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=8 ALIGN=BOTTOM ALT="tex2html_wrap_inline253" SRC="img16.gif"  > '; 
$key = q/{align}labelS:difsplitD_w(sigma_j-sigma_infty);SPMamp;=sum_i=1^n(4ji-2)r+(2j^2i-j^2)pir-sum_i=1^n2r+(2i-1)pir;SPMamp;=sum_i=1^n4jir,qquadforallj,textttwhenntoinftysplit{align}/;
$cached_env_img{$key} = ' <IMG WIDTH=533 HEIGHT=344 ALIGN=BOTTOM ALT="align78" SRC="img19.gif"  > '; 
$key = q/{_inline}$pir${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap_inline255" SRC="img17.gif"  > '; 

1;

