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Diff for /OpenXM/doc/ascm2001p/ohp.tex between version 1.1 and 1.2

version 1.1, 2001/09/20 09:27:56 version 1.2, 2001/09/23 08:31:18
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 %% $OpenXM$  %% $OpenXM: OpenXM/doc/ascm2001p/ohp.tex,v 1.1 2001/09/20 09:27:56 takayama Exp $
 \documentclass{slides}  \documentclass{slides}
 %%\documentclass[12pt]{article}  %%\documentclass[12pt]{article}
 \usepackage{color}  \usepackage{color}
Line 204  $$ {\color{blue} F(a,b,c;x)} = \sum_{n=1}^\infty
Line 204  $$ {\color{blue} F(a,b,c;x)} = \sum_{n=1}^\infty
 $$  $$
 where  where
 $$ (a)_n = a(a+1) \cdots (a+n-1). $$  $$ (a)_n = a(a+1) \cdots (a+n-1). $$
 $$ F(?,?,?;x) = \log (1+x). $$  $$ \log (1+x) = x F(1,1,2;-x) $$
   $$ \arcsin x = x F(1/2,1/2,3/2;x^2) $$
   
 \noindent  \noindent
 Appell's $F_1$:  Appell's $F_1$:
Line 247  Implementation & partially done & NO \\ \hline
Line 248  Implementation & partially done & NO \\ \hline
 \noindent  \noindent
 Our ox servers  Our ox servers
 {\tt ox\_asir}, {\tt ox\_sm1}, {\tt ox\_tigers}, {\tt ox\_gnuplot},  {\tt ox\_asir}, {\tt ox\_sm1}, {\tt ox\_tigers}, {\tt ox\_gnuplot},
 {\tt ox\_mathematica}, {\tt OMproxy} {\tt ox\_m2}  {\tt ox\_mathematica}, {\tt OMproxy} (JavaClasses), {\tt ox\_m2}
 are used to generate, verify and present formulas of type A  are used to generate, verify and present formulas of type A
 for GKZ hypergeometric systems.  for GKZ hypergeometric systems.
   
   \newpage
   \noindent
   {\color{green} Competitive Gr\"obner Basis Computation}
   \begin{verbatim}
   extern Proc1,Proc2$
   Proc1 = -1$ Proc2 = -1$
   /* G:set of polys; V:list of variables */
   /* Mod: the Ground field GF(Mod); O:type of order */
   def dgr(G,V,Mod,O)
   {
     /* invoke servers if necessary */
     if ( Proc1 == -1 ) Proc1 = ox_launch();
     if ( Proc2 == -1 ) Proc2 = ox_launch();
     P = [Proc1,Proc2];
     map(ox_reset,P); /* reset servers */
     /* P0 executes Buchberger algorithm over GF(Mod) */
     ox_cmo_rpc(P[0],"dp_gr_mod_main",G,V,0,Mod,O);
     /* P1 executes F4 algorithm over GF(Mod) */
     ox_cmo_rpc(P[1],"dp_f4_mod_main",G,V,Mod,O);
     map(ox_push_cmd,P,262); /* 262 = OX_popCMO */
     F = ox_select(P); /* wait for data */
     /* F[0] is a server's id which is ready */
     R = ox_get(F[0]);
     if ( F[0] == P[0] ) { Win = "Buchberger"; Lose = P[1]; }
     else { Win = "F4"; Lose = P[0]; }
     ox_reset(Lose); /* reset the loser */
     return [Win,R];
   }
   \end{verbatim}
   \newpage
   
 \end{document}  \end{document}
   
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