%defn.tex  peculiar to nips
\def\gi{g_i}
%\def\gip{\frac{\partial g}{\partial \fli}}
\def\yi{y_i}
\def\Yi{Y^{[-i]}}
\def\yj{y_j}
\def\ti{t_i}
\def\ffi{f_i}
\def\ffj{f_j}
\def\hi{h_i}
%\def\pi{p_i}
\def\fli{f_{\lambda i}}
\def\flj{f_{\lambda j}}
\def\flii{f_{\lambda i}^{[-i]}}
\def\fl{f_{\lambda}}
\def\flni{f_{\lambda  }^{[-i]}} 
\def\fljj{f_{\lambda j}^{[-j]}}
\def\mli{\mu_{\lambda i}}
\def\mlj{\mu_{\lambda j}}
%\def\mip{\frac{\partial \mu}{\partial \fli}}
\def\mlii{\mu_{\lambda i}^{[-i]}}
\def\mljj{\mu_{\lambda j}^{[-j]}}
\def\ptj{p_{[true]j}}
\def\sumn{\sum_{i=1}^{n}}
\def\sumj{\sum_{j=1}^{n}}
\def\sumM{\sum_{\nu = 1}^M}
\def\c11T{{\mathcal T}^{(1)}} %dont know why it doesnt like c1T
\def\c2T{{\mathcal T}^{(2)}}
\def\caT{{\mathcal T}^{(\al)}}
\def\hk{{\mathcal H}_K}
\def\hak{{\mathcal H}_K^{\al}}
\def\h2ak{{\mathcal H}_K^{(\al)}}
\def\rast{R_{\al}(s^{\al},t^{\al})}
\def\rbst{R_{\be}(s^{\be},t^{\be})} 
\def\onal{[1^{(\al)}]}

%%to change   \cV to {\mathcal V}, use  :%s/\\\cV/{\\\mathcal V}/g
%%to change \tt to {\mbf{t}}, use :%s/\\\tt/{\\\mbf{t}}/g 
\def\cA{{\mathcal A}}
\def\cB{{\mathcal B}}
\def\cC{{\mathcal C}}
\def\cE{{\mathcal E}}
\def\cF{{\mathcal F}}
\def\cH{{\mathcal H}}
\def\cI{{\mathcal I}} 
\def\cL{{\mathcal L}}
\def\cM{{\mathcal M}}
\def\cM{{\mathcal M}}
\def\cN{{\mathcal N}}
\def\cS{{\mathcal S}}
\def\cT{{\mathcal T}}
\def\cU{{\mathcal U}}
\def\cX{{\mathcal X}}
%\def\mpar{\marginpar} %%%duplicate
\def\ss{\mbf{s}}
%\newcommand{\bftheta}{\mbox{\boldmath $\theta$}}
\def\sn{\sum_{i=1}^n}

%%to change   \cV to {\mathcal V}, use  :%s/\\\cV/{\\\mathcal V}/g
%%to change \tt to {\mbf{t}}, use :%s/\\\tt/{\\\mbf{t}}/g 
\def\hk{{\mathcal H}_K}
\def\al{\alpha}
\def\be{\beta}
\def\ga{\gamma}
\def\de{\delta}
\def\ep{\epsilon}
\def\ze{\zeta}
\def\et{\eta}
\def\th{\theta}
\def\ka{\kappa}
\def\la{\lambda}
\def\rh{\rho}
\def\si{\sigma}
\def\ta{\tau}
\def\up{\upsilon}
\def\ph{\phi}
\def\ch{\chi}
\def\ps{\psi}
\def\om{\omega}
\def\epv{\vareplison}
\def\thv{\vartheta}
\def\Ga{\Gamma}
\def\De{\Delta}
\def\Th{\Theta}
\def\La{\Lambda}
\def\Si{\Sigma}
\def\tSi{\tilde{\Sigma}}
\def\tS{\tilde{S}}
\def\tM{\tilde{M}}
\def\tOm{\tilde{\Omega}}
\def\Up{\Upsilon}
\def\Ph{\Phi}
\def\Ps{\Psi}
\def\Om{\Omega}
\def\pa{\partial}
\def\del{\partial}
\def\beq{\begin{equation}}
\def\eeq{\end{equation}}
\def\mpar{\marginpar}
\def\epar{\marginpar} %use for equations 
\def\lrarrow{\leftrightarrow}
%divided differences, with subscr indicated first
\def\dd{{\bigtriangleup \hspace{-.085in}|}}
\def\cdd{{\bigtriangleup \hspace{-.085in}|}~{}_c}
\def\1dd{{\bigtriangleup \hspace{-.085in}\vert}~{}_1}
\def\2dd{{\bigtriangleup \hspace{-.085in}|}~{}_2}
\def\3dd{{\bigtriangleup \hspace{-.085in}|}~{}_3}