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Diff for /OpenXM/doc/calc2000p/func2.tex between version 1.2 and 1.8

version 1.2, 2000/07/20 05:58:00 version 1.8, 2000/09/10 18:43:18
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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 1.7 2000/07/31 07:26:12 noro 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
 \begin{center}  \begin{center}
 \epsffile{../calc2000/katsura7.ps}  %\epsffile{../calc2000/katsura7.ps}
   \epsffile{katsura7.ps}
 \end{center}  \end{center}
 %%The first components of the solutions to the system of algebraic equations Katsura 7.  %%The first components of the solutions to the system of algebraic equations Katsura 7.
   
Line 140  Finding test sets for integer program),
Line 152  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, Dolzmann, 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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