# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{_inline}$x_0=C'${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sinh,cosh,rmarctanh${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sin,cos,arctan${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$cos${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$k=0,1,dots,n${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilon_k=2^-k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$y_n+1approxx_0z_0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$z_n+1approxrmarctanh(y_0x_0)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilon_k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$s_0=0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}C=prod_k=0^ncos(varepsilon_k).{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$underlinem=0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}varepsilon_kleqleft(sum_j=k+1^nvarepsilon_jright)+varepsilon_n{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sin${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilon_k=rmarctanh(2^-k)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_n+1+y_n+1approxe^theta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$r=theta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_n+1=coss_n+1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}|r|leqsum_k=0^nvarepsilon_j.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}delta_k=rmsgnleft(r-s_kright),{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$underlinem=1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_n+1approxC'sqrtx_0^2-y_0^2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_n+1approxcostheta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$y_n+1approxsinhtheta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sintheta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_0=prod_k=0^ncos(varepsilon_k)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$|theta|leqpi2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(varepsilon_k)_k=0^n${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$z_0=0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$delta_k=rmsgnz_k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$y_n+1approxsintheta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}|theta-sum_k=0^ndelta_kvarepsilon_k|;SPMlt;varepsilon_n.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$delta_k=pm1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}m=1,varepsilon_k=arctan(2^-k).{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$y_0=0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}|r-s_n+1|=|r-sum_k=0^ndelta_kvarepsilon_k|;SPMlt;varepsilon_n.vspace*fill{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$z_0=theta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$underlinem=-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$s_n+1=sum_k=0^ndelta_kvarepsilon_k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$z_n+1approxarctan(y_0x_0)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$y_n+1=sins_n+1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$s_k+1=s_k+delta_kvarepsilon_k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$varepsilon_k=arctan(2^-k)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$delta_k=-rmsgny_k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$z_n+1approxy_0x_0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$k=0,1,ldots,n${_inline}/;
$cached_env_img{$key} = ' ';
$key = q/{_inline}$x_0=prod_k=0^ncosvarepsilon_k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_n+1approxcoshtheta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelnx=2rmarctanhleft(fracx-1x+1right)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$costheta${_inline}/;
$cached_env_img{$key} = ' 
';
1;