# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{_inline}$x=(x_1,ldots,x_J)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$754times66${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$mboxboldmath$tildeD$=(tildeD_1,ldots,tildeD_K)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}partiallogleft{P(d|x)right}partialtheta=sum_j=1^Jleft[I{j=d}-P(j|x)right]x_j{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}logleft{P(d|x)right}=x_dtheta-logleft{sum_j=1^Jexp{x_jtheta}right}.{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$theta=(q_2,q_3)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$theta${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$i=1,ldots,2000${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x=(x_1,x_2,x_3)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(tildeG_1,ldots,tildeG_K)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$18times1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_1times3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$theta^*${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$tildeD_i${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$66times1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_j${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$q_1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$tildeG_i${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$mboxboldmath$alpha$=(alpha_1,ldots,alpha_K)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$q_2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$q_3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}tildeD_i=tildeG_iover(tildeG_1+cdots+tildeG_K){displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(x_1,x_2,x_3)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}partial^2logleft{P(d|x)right}partialthetapartialtheta'=-sum_j=1^Jx_jx_j'P(j|x)+left[sum_j=1^Jx_jP(j|x)right]left[sum_j=1^Jx_jP(j|x)right]'{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$3times1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(alpha_i,beta)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$6times1${_inline}/;
$cached_env_img{$key} = ' 
';
1;