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

$key = q/{}(phi=(a_0+b_0lnrho)(A_0+B_0phi)+sum_nu(a_nurho^v+b_nurho^-nu)(A_nue^inuphi+B_nue^-inuphi)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=564 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap176" SRC="img9.gif"  > '; 
$key = q/{}(sin(nubeta)=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=98 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap181" SRC="img14.gif"  > '; 
$key = q/{}(Phi=a_oA_0+sum_na_nrho^nu_nsin(fracnpibetaphi)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=254 HEIGHT=25 ALIGN=BOTTOM ALT="tex2html_wrap184" SRC="img17.gif"  > '; 
$key = q/{}(rho^nu){}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap172" SRC="img6.gif"  > '; 
$key = q/{}(nu_n=fracnpibeta){}/;
$cached_env_img{$key} = ' <IMG WIDTH=64 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap180" SRC="img13.gif"  > '; 
$key = q/{}(a_0B_0=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=74 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap179" SRC="img12.gif"  > '; 
$key = q/{}(phi=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=45 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap177" SRC="img10.gif"  > '; 
$key = q/{}(nu^2=fracrhoAfracpartialpartialrho(rhofracpartialApartialrho)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=124 HEIGHT=26 ALIGN=BOTTOM ALT="tex2html_wrap169" SRC="img3.gif"  > '; 
$key = q/{}(a_0+b_0lnrho){}/;
$cached_env_img{$key} = ' <IMG WIDTH=84 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap175" SRC="img8.gif"  > '; 
$key = q/{}(nu=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=44 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap171" SRC="img5.gif"  > '; 
$key = q/{}(=-fracpia_1betarho^fracpibeta-1(sin(fracpibetaphi),cos(fracpibetaphi))){}/;
$cached_env_img{$key} = ' <IMG WIDTH=259 HEIGHT=28 ALIGN=BOTTOM ALT="tex2html_wrap186" SRC="img19.gif"  > '; 
$key = q/{}(rho^-nu){}/;
$cached_env_img{$key} = ' <IMG WIDTH=26 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap173" SRC="img7.gif"  > '; 
$key = q/{}(Phi=a_oA_0+sum_n(a_nrho^nu_n+b_nrho^-nu_n)sin(fracnpibetaphi)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=345 HEIGHT=25 ALIGN=BOTTOM ALT="tex2html_wrap182" SRC="img15.gif"  > '; 
$key = q/{}(nabla^2Psi=frac1rhofracpartialpartialrho(rhofracpartialpsipartialrho)+frac1rho^2fracpartialpartialphifracpartialphipartialphi+fracpartial^2phipartialz^2=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=311 HEIGHT=29 ALIGN=BOTTOM ALT="tex2html_wrap168" SRC="img2.gif"  > '; 
$key = q/{}(E^i=-nabla^iphi=-(fracpartialphipartialr,frac1rhofracpartialPhipartialphi)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=215 HEIGHT=27 ALIGN=BOTTOM ALT="tex2html_wrap185" SRC="img18.gif"  > '; 
$key = q/{}(-nu^2=frac1Bfracpartialpartialphifracpartialphipartialphi){}/;
$cached_env_img{$key} = ' <IMG WIDTH=113 HEIGHT=27 ALIGN=BOTTOM ALT="tex2html_wrap170" SRC="img4.gif"  > '; 
$key = q/{}(b_n=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=51 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap183" SRC="img16.gif"  > '; 
$key = q/{}(beta){}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=18 ALIGN=BOTTOM ALT="tex2html_wrap167" SRC="img1.gif"  > '; 
$key = q/{}(b_o=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=49 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap178" SRC="img11.gif"  > '; 

1;

