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version 1.2, 2000/07/20 05:58:00 version 1.6, 2000/07/31 01:48:53
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 % $OpenXM: OpenXM/doc/calc2000p/func2.tex,v 1.1 2000/07/20 04:43:55 takayama Exp $  % $OpenXM: OpenXM/doc/calc2000p/func2.tex,v 1.5 2000/07/22 00:31:06 takayama Exp $
 \documentclass[twocolumn]{article}  \documentclass[twocolumn]{article}
   \pagestyle{empty}
   %\markright{ {\tt http://www.openxm.org} }
 \usepackage{color}  \usepackage{color}
 \usepackage{epsfig}  \usepackage{epsfig}
 \title{\huge \color{blue} 4252 functions are available  \title{\huge \color{blue} 1077 functions are available
 on our servers and libraries (continued)}  on our servers and libraries }
 \author{} \date{}  \author{} \date{}
 \begin{document}  \begin{document}
 \maketitle  \maketitle
   %% The number of functions:
   %%    264 + 36 (lib/asir/help-jp)
   %%    84 + 133 + 61 (sm1)
   %%    About 45*11   (pari)
   %%    1 + 1 + 2(tigers, phc, OMproxy)
   %%    SUB TOTAL: 1077
   
 \noindent  \noindent
 \fbox{\huge {\color{green} $D$-modules}} ($D$ is the Weyl algebra)  \fbox{\huge {\color{green} $D$-modules}} ($D$ is the Weyl algebra)
Line 76  numerical and polyhedral homotopy methods).
Line 84  numerical and polyhedral homotopy methods).
 \noindent  \noindent
 {\color{red} tigers} (Enumerate all Gr\"obner basis of a toric ideal.  {\color{red} tigers} (Enumerate all Gr\"obner basis of a toric ideal.
 Finding test sets for integer program),  Finding test sets for integer program),
 {\color{red} aDegree} (Arithmetic degree of a monomial ideal),  {\color{red} arithDeg} (Arithmetic degree of a monomial ideal),
 {\color{red} stdPair} (Standard pair decomposition of a monomial ideal).  {\color{red} stdPair} (Standard pair decomposition of a monomial ideal).
   
 \medbreak  \medbreak
Line 113  Finding test sets for integer program),
Line 121  Finding test sets for integer program),
   
 \medbreak  \medbreak
 \noindent  \noindent
   In addition to these functions, {\color{green} Mathematica functions}
   can be called as server functions.
   \medbreak
   \noindent
 \fbox{\huge {\color{green} Examples}}  \fbox{\huge {\color{green} Examples}}
 {\footnotesize  {\footnotesize
 \begin{verbatim}  \begin{verbatim}
 [345] sm1_deRham([x^3-y^2*z^2,[x,y,z]]);  [345] sm1_deRham([x^3-y^2*z^2,[x,y,z]]);
 [1,1,0,0]  [1,1,0,0]
   /* dim H^i = 1 (i=0,1), =0 (i=2,3) */
 \end{verbatim}}  \end{verbatim}}
   
 \noindent  \noindent
 {\footnotesize \begin{verbatim}  {\footnotesize \begin{verbatim}
 [287] phc(katsura(7));  [287] phc(katsura(7)); B=map(first,Phc)$
 [290] B=map(first,Phc)$  [291] gnuplot_plotDots(B,0)$
 [291] gnuplot_plotDots([],0)$  
 [292] gnuplot_plotDots(B,0)$  
 \end{verbatim} }  \end{verbatim} }
   
 \epsfxsize=3cm  \epsfxsize=3cm
Line 140  Finding test sets for integer program),
Line 151  Finding test sets for integer program),
 \medbreak  \medbreak
 \noindent  \noindent
 \fbox{ {\color{green} Authors}}  \fbox{ {\color{green} Authors}}
 Castro-Jim\'enez, Doltman, Hubert, Noro, Oaku, Okutani,  Castro-Jim\'enez, Doltman, Hubert, Murao, Noro, Oaku, Okutani,
 Sturm, Takayama, Tamura, Verschelde.  Shimoyama, Sturm, Takayama, Tamura, Verschelde, Yokoyama.
   
   \medbreak
   \vfill
   \noindent
   \rightline{ {\color{red} {\tt http://www.openxm.org} }}
   
 \end{document}  \end{document}
   

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