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

$key = q/{}(det(1+ifracF2pi)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=99 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap137" SRC="img4.gif"  > '; 
$key = q/{}(U^-1fraciF2piU=diag(x_1,x_2,...,x_k)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=245 HEIGHT=24 ALIGN=BOTTOM ALT="tex2html_wrap144" SRC="img11.gif"  > '; 
$key = q/{}(x_i){}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap145" SRC="img12.gif"  > '; 
$key = q/{}(c_2(F)=sum_i;SPMlt;jx_ix_j=frac18pi^2[tr(F^2)-tr^2(F)]){}/;
$cached_env_img{$key} = ' <IMG WIDTH=347 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap147" SRC="img14.gif"  > '; 
$key = q/{}(=sum_j=0^min(k,m)c_j(F)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=148 HEIGHT=27 ALIGN=BOTTOM ALT="tex2html_wrap138" SRC="img5.gif"  > '; 
$key = q/{}(c(E_1oplusE_2)=c(E_1)c(E_2)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=208 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap151" SRC="img18.gif"  > '; 
$key = q/{}(dim_C(M)=m){}/;
$cached_env_img{$key} = ' <IMG WIDTH=122 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap136" SRC="img3.gif"  > '; 
$key = q/{}(V_rho=C^k){}/;
$cached_env_img{$key} = ' <IMG WIDTH=66 HEIGHT=22 ALIGN=BOTTOM ALT="tex2html_wrap135" SRC="img2.gif"  > '; 
$key = q/{}(c_j){}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap139" SRC="img6.gif"  > '; 
$key = q/{}(E(M,V_rho)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=77 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap134" SRC="img1.gif"  > '; 
$key = q/{}(c_1(F)=itr(fracF2pi)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=128 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap142" SRC="img9.gif"  > '; 
$key = q/{}(E_1){}/;
$cached_env_img{$key} = ' <IMG WIDTH=19 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap148" SRC="img15.gif"  > '; 
$key = q/{}(fraciF2pi){}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=24 ALIGN=BOTTOM ALT="tex2html_wrap143" SRC="img10.gif"  > '; 
$key = q/{}(E_2){}/;
$cached_env_img{$key} = ' <IMG WIDTH=19 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap149" SRC="img16.gif"  > '; 
$key = q/{}(c_0(F)=1){}/;
$cached_env_img{$key} = ' <IMG WIDTH=79 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap141" SRC="img8.gif"  > '; 
$key = q/{}(c(F)=det(diag(1+x_i,..,1+x_k))=Pi_i=1^k(1+x_i)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=418 HEIGHT=22 ALIGN=BOTTOM ALT="tex2html_wrap146" SRC="img13.gif"  > '; 
$key = q/{}(F_ab=frac12F_uv^alpha(lambda_alpha)_abdx^uwedgedx^v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=223 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap140" SRC="img7.gif"  > '; 
$key = q/{}(E_1oplusE_2){}/;
$cached_env_img{$key} = ' <IMG WIDTH=66 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap150" SRC="img17.gif"  > '; 

1;

