# LaTeX2HTML 95 (Thu Jan 19 1995)
# Associate image original text (scrambled) with physical files.
$key = q/{displaymath}{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$bullet${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}bigstarbigstarbigstarbigstarbigstarbigstar{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$3.1415926535897932385${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$(e^pi,sqrt163-744)^1over3${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}p(z):=sum_n=0^Nc_nz^nqquadc_ipm1{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}pi=int_0^1!frac16,y-16y^4-2,y^3+4,y-4dy,.{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$pi${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}sqrtpidoteqfrac110^5sum_n=-infty^inftye^-n^210^10{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y:=sqrt2x${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}=-frac292zeta(9)+frac372zeta(4)zeta(5){displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$PneqNP${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}leqalignnoint_0^1sqrt2fracx^k-11-x^8,dx;SPM_amp;=int_0^1sqrt2sum_i=0^inftyx^k-1+8i,dxcr;SPM_amp;=frac1sqrt2^ksum_i=0^inftyfrac116^i(8i+k)cr{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$2.7182818284590452354${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}a_n+1:=fraca_n+b_n2,quadb_n+1:=sqrta_nb_n{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}+frac334zeta(3)zeta(6)-frac83zeta^3(3)-7zeta(2)zeta(7){displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}sum_k=1^inftyleft(1+1over2+cdots+1overkright)^4,(k+1)^-5{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}(e^pi,sqrt163-744)^1over3=640320qquad{textto30digits{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}pi=sum_i=0^inftyfrac116^ibigr(frac48i+1-frac28i+4-frac18i+5-frac18i+6bigl).{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}640319.99999999999999999999999939032{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}=1.1981402347355922075...{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}C_1;SPM_lt;frac|p(z)|sqrtn;SPM_lt;C_2.{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}pi=int_0^1sqrt2frac4sqrt2-8x^3-4sqrt2x^4-8x^51-x^8dx.{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$a_0:=1,b_0:=sqrt2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$e+pi${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$10^50${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$14.861341617687470186${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}lim_nrightarrowinftya_n=lim_nrightarrowinftyb_n=fracpi2int_0^1fracdtsqrt1-t^4{displaymath}/;
$cached_env_img{$key} ='
';
1;