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

$key = q/{}(L=sum_ifracm_i(vecr_i'vecr_i')2-sum_ineqjV_ij(|vecr_I-vecr_j|)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=266 HEIGHT=26 ALIGN=BOTTOM ALT="tex2html_wrap154" SRC="img1.gif"  > '; 
$key = q/{}(A'^u=L^u_vA^v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=84 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap169" SRC="img16.gif"  > '; 
$key = q/{}(n_uvA^uB^v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=67 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap157" SRC="img4.gif"  > '; 
$key = q/{}(A_u'=L_u^vA_v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=80 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap168" SRC="img15.gif"  > '; 
$key = q/{}(A_u=fracpartialspartialx^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=68 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap159" SRC="img6.gif"  > '; 
$key = q/{}(Rightarrow){}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=9 ALIGN=BOTTOM ALT="tex2html_wrap165" SRC="img12.gif"  > '; 
$key = q/{}(A_vfracpartialx^vpartialx'^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=48 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap163" SRC="img10.gif"  > '; 
$key = q/{}(A^uB_u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=39 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap170" SRC="img17.gif"  > '; 
$key = q/{}(n^vaL^b_an_bux'^u=x^v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=128 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap166" SRC="img13.gif"  > '; 
$key = q/{}(A^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=12 ALIGN=BOTTOM ALT="tex2html_wrap156" SRC="img3.gif"  > '; 
$key = q/{}(n_uvA'^uB'^v=n_uvL^u_aA^aL^v_bB^b=n_abA^aA^b){}/;
$cached_env_img{$key} = ' <IMG WIDTH=286 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap158" SRC="img5.gif"  > '; 
$key = q/{}(=fracpartialspartialx'^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=45 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap161" SRC="img8.gif"  > '; 
$key = q/{}(L_u^v=n_uvn^vbL^a_b){}/;
$cached_env_img{$key} = ' <IMG WIDTH=106 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap167" SRC="img14.gif"  > '; 
$key = q/{}(L^a_bn_aux'^u=L^a_bn_auL^u_vx^v=n_bvx^v){}/;
$cached_env_img{$key} = ' <IMG WIDTH=231 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap164" SRC="img11.gif"  > '; 
$key = q/{}(A_u'=fracpartials'partialx'^u){}/;
$cached_env_img{$key} = ' <IMG WIDTH=71 HEIGHT=22 ALIGN=BOTTOM ALT="tex2html_wrap160" SRC="img7.gif"  > '; 
$key = q/{}(n_uvx^ux^v=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=89 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap155" SRC="img2.gif"  > '; 
$key = q/{}(=){}/;
$cached_env_img{$key} = ' <IMG WIDTH=10 HEIGHT=5 ALIGN=BOTTOM ALT="tex2html_wrap162" SRC="img9.gif"  > '; 

1;

