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

$key = q/{_inline}$tildeZ${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=12 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline404" SRC="img43.gif"  > '; 
$key = q/{_inline}${tildeW_n}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=43 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline464" SRC="img60.gif"  > '; 
$key = q/{_inline}$tildeY=tildeZoplustildeX${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=94 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline458" SRC="img58.gif"  > '; 
$key = q/{_inline}$E{logf(tildex|theta)}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=110 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline254" SRC="img6.gif"  > '; 
$key = q/{_inline}$phi_N(t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline466" SRC="img61.gif"  > '; 
$key = q/{_inline}$oplus${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=23 ALIGN=MIDDLE ALT="tex2html_wrap_inline402" SRC="img42.gif"  > '; 
$key = q/{_inline}$tildeT_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline392" SRC="img40.gif"  > '; 
$key = q/{_inline}$langledelta,deltarangle=delta'delta=|delta|^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=145 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline352" SRC="img32.gif"  > '; 
$key = q/{_inline}$H_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=27 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline320" SRC="img22.gif"  > '; 
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=8 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline258" SRC="img8.gif"  > '; 
$key = q/{_inline}$I(theta^*)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=38 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline344" SRC="img29.gif"  > '; 
$key = q/{_inline}$sqrtN(hattheta_N-theta_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=111 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline318" SRC="img20.gif"  > '; 
$key = q/{_inline}$tildeZsimN(0,I)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=95 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline358" SRC="img34.gif"  > '; 
$key = q/{_inline}$R^k${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=21 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap_inline248" SRC="img4.gif"  > '; 
$key = q/{_inline}$deltainR^k${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=53 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline350" SRC="img30.gif"  > '; 
$key = q/{_inline}$theta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline246" SRC="img3.gif"  > '; 
$key = q/{_inline}$tildecalF_NequivsqrtNI^12(theta^*)(tildeT_N-theta^*)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=224 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline490" SRC="img65.gif"  > '; 
$key = q/{_inline}$hattheta_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=21 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline310" SRC="img19.gif"  > '; 
$key = q/{_inline}$T_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline408" SRC="img45.gif"  > '; 
$key = q/{_inline}$theta_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=21 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline324" SRC="img24.gif"  > '; 
$key = q/{_inline}$logf(x|theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=76 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline256" SRC="img7.gif"  > '; 
$key = q/{_inline}$tildeZ_Nphantom,_LongrightarrowatopdtildeZsimN(0,I)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=149 HEIGHT=36 ALIGN=MIDDLE ALT="tex2html_wrap_inline494" SRC="img68.gif"  > '; 
$key = q/{_inline}$tinR^k${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=52 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline440" SRC="img52.gif"  > '; 
$key = q/{_inline}${tildex_1,ldots,tildex_N}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=100 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline242" SRC="img1.gif"  > '; 
$key = q/{_inline}$E_theta_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=29 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline442" SRC="img53.gif"  > '; 
$key = q/{_inline}$tildeY_theta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline286" SRC="img12.gif"  > '; 
$key = q/{_inline}$delta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=8 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap_inline298" SRC="img16.gif"  > '; 
$key = q/{_inline}$|delta|;SPMlt;C${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=65 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline300" SRC="img17.gif"  > '; 
$key = q/{_inline}$theta_N=theta^*+deltasqrtN${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=139 HEIGHT=35 ALIGN=MIDDLE ALT="tex2html_wrap_inline292" SRC="img13.gif"  > '; 
$key = q/{_inline}$delta'delta2=|delta|^22${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=120 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline386" SRC="img39.gif"  > '; 
$key = q/{_inline}$i=sqrt-1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=71 HEIGHT=34 ALIGN=MIDDLE ALT="tex2html_wrap_inline428" SRC="img49.gif"  > '; 
$key = q/{_inline}$f(x|theta_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=60 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline296" SRC="img14.gif"  > '; 
$key = q/{_inline}$logL_N(theta_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=87 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline368" SRC="img36.gif"  > '; 
$key = q/{_inline}$phi_tildeY(t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=41 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline424" SRC="img47.gif"  > '; 
$key = q/{_inline}$phi_tildeY(t)expleft{langlet,trangle2right}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=151 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline500" SRC="img74.gif"  > '; 
$key = q/{_inline}$tildeT_N=T_N(tildex_1,ldots,tildex_N)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=169 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline278" SRC="img9.gif"  > '; 
$key = q/{_inline}$delta=-it${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=60 HEIGHT=25 ALIGN=MIDDLE ALT="tex2html_wrap_inline496" SRC="img71.gif"  > '; 
$key = q/{_inline}$tildeW_NphantomL_LongrightarrowatopdphantomLtildeW${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=98 HEIGHT=36 ALIGN=MIDDLE ALT="tex2html_wrap_inline478" SRC="img64.gif"  > '; 
$key = q/{_inline}$H(theta)=E{partial^2logf(x|theta)partialthetapartialtheta'}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=251 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline328" SRC="img26.gif"  > '; 
$key = q/{_inline}$delta=0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap_inline460" SRC="img59.gif"  > '; 
$key = q/{_inline}$ktimesk${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline362" SRC="img35.gif"  > '; 
$key = q/{_inline}$tildecalF_N-tildeZ_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=75 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline498" SRC="img73.gif"  > '; 
$key = q/{_inline}${theta_N}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=38 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline306" SRC="img18.gif"  > '; 
$key = q/{_inline}$tildeZ'delta${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=27 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline378" SRC="img38.gif"  > '; 
$key = q/{_inline}$ktimes1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=41 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline280" SRC="img10.gif"  > '; 
$key = q/{_inline}$sqrtN(tildeT_N-theta^*)_LongrightarrowatopdtildeY_theta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=156 HEIGHT=36 ALIGN=MIDDLE ALT="tex2html_wrap_inline284" SRC="img11.gif"  > '; 
$key = q/{_inline}$f(x|theta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=47 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline250" SRC="img5.gif"  > '; 
$key = q/{_inline}$exp{-langlet,trangle2}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=116 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline448" SRC="img55.gif"  > '; 
$key = q/{_inline}$langlet,Yrangle${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline430" SRC="img50.gif"  > '; 
$key = q/{_inline}$mu(t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=30 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline468" SRC="img62.gif"  > '; 
$key = q/{_inline}$exp{langlet,trangle2}phi_tildeY(t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=145 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline452" SRC="img56.gif"  > '; 
$key = q/{_inline}$overlinetheta_N${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=21 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline322" SRC="img23.gif"  > '; 
$key = q/{_inline}$f(x|theta^*)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=55 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline244" SRC="img2.gif"  > '; 
$key = q/{_inline}$tildeW${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=19 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap_inline476" SRC="img63.gif"  > '; 
$key = q/{_inline}$tildeX${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline456" SRC="img57.gif"  > '; 
$key = q/{_inline}$tildeY${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap_inline406" SRC="img44.gif"  > '; 

1;

