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version 1.1, 2000/07/20 04:43:55 version 1.2, 2000/07/20 05:58:00
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 % $OpenXM$  % $OpenXM: OpenXM/doc/calc2000p/func2.tex,v 1.1 2000/07/20 04:43:55 takayama Exp $
 \documentclass[twocolumn]{article}  \documentclass[twocolumn]{article}
 \usepackage{color}  \usepackage{color}
   \usepackage{epsfig}
 \title{\huge \color{blue} 4252 functions are available  \title{\huge \color{blue} 4252 functions are available
 on our servers and libraries (continued)}  on our servers and libraries (continued)}
 \author{} \date{}  \author{} \date{}
Line 15  on our servers and libraries (continued)}
Line 16  on our servers and libraries (continued)}
 {\color{red} syz} (syzygy),  {\color{red} syz} (syzygy),
 {\color{red} annfs} (Annhilating ideal of $f^s$),  {\color{red} annfs} (Annhilating ideal of $f^s$),
 {\color{red} bfunction},  {\color{red} bfunction},
   {\color{red} schreyer} (free resolution by the Schreyer method),
 {\color{red} vMinRes} (V-minimal free resolution),  {\color{red} vMinRes} (V-minimal free resolution),
   {\color{red} characteristic} (Characteristic variety),
 {\color{red} restriction} in the derived category of $D$-modules,  {\color{red} restriction} in the derived category of $D$-modules,
 {\color{red} integration} in the derived category,  {\color{red} integration} in the derived category,
 {\color{red} tensor}  in the derived category,  {\color{red} tensor}  in the derived category,
   {\color{red} dual} (Dual as a D-module),
 {\color{red} slope}.  {\color{red} slope}.
   
 \medbreak  \medbreak
Line 40  and the ring of formal power series).
Line 44  and the ring of formal power series).
 Helping to derive and prove {\color{red} combinatorial} and  Helping to derive and prove {\color{red} combinatorial} and
 {\color{red} special function identities},  {\color{red} special function identities},
 {\color{red} gkz} (GKZ hypergeometric differential equations),  {\color{red} gkz} (GKZ hypergeometric differential equations),
   {\color{red} appell} (Appell's hypergeometric differential equations),
 {\color{red} indicial} (indicial equations),  {\color{red} indicial} (indicial equations),
   {\color{red} rank} (Holonomic rank),
   {\color{red} rrank} (Holonomic rank of regular holonomic systems),
 {\color{red} dsolv} (series solutions of holonomic systems).  {\color{red} dsolv} (series solutions of holonomic systems).
   
   \medbreak
   \noindent
   \fbox{\huge
    {\color{green} OpenMATH support}}
   
   \noindent
   {\color{red} om\_xml} (CMO to OpenMATH XML),
   {\color{red} om\_xml\_to\_cmo} (OpenMATH XML to CMO).
   
   \medbreak
   \noindent
   \fbox{\huge
    {\color{green} Homotopy Method}}
   
   \noindent
   {\color{red} phc} (Solving systems of algebraic equations by
   numerical and polyhedral homotopy methods).
   
   \medbreak
   \noindent
   \fbox{\huge
    {\color{green} Toric ideal}}
   
   \noindent
   {\color{red} tigers} (Enumerate all Gr\"obner basis of a toric ideal.
   Finding test sets for integer program),
   {\color{red} aDegree} (Arithmetic degree of a monomial ideal),
   {\color{red} stdPair} (Standard pair decomposition of a monomial ideal).
   
   \medbreak
   \noindent
   \fbox{\huge {\color{green} Communications}}
   
   \noindent
   {\color{red} ox\_launch} (starting a server),
   {\color{red} ox\_launch\_nox},
   {\color{red} ox\_shutdown},
   {\color{red} ox\_launch\_generic},
   {\color{red} generate\_port},
   {\color{red} try\_bind\_listen},
   {\color{red} try\_connect},
   {\color{red} try\_accept},
   {\color{red} register\_server},
   {\color{red} ox\_rpc},
   {\color{red} ox\_cmo\_rpc},
   {\color{red} ox\_execute\_string},
   {\color{red} ox\_reset} (reset the server),
   {\color{red} ox\_intr},
   {\color{red} register\_handler},
   {\color{red} ox\_push\_cmo},
   {\color{red} ox\_push\_local},
   {\color{red} ox\_pop\_cmo},
   {\color{red} ox\_pop\_local},
   {\color{red} ox\_push\_cmd},
   {\color{red} ox\_sync},
   {\color{red} ox\_get},
   {\color{red} ox\_pops},
   {\color{red} ox\_select},
   {\color{red} ox\_flush},
   {\color{red} ox\_get\_serverinfo}
   
   \medbreak
   \noindent
   \fbox{\huge {\color{green} Examples}}
   {\footnotesize
   \begin{verbatim}
   [345] sm1_deRham([x^3-y^2*z^2,[x,y,z]]);
   [1,1,0,0]
   \end{verbatim}}
   
   \noindent
   {\footnotesize \begin{verbatim}
   [287] phc(katsura(7));
   [290] B=map(first,Phc)$
   [291] gnuplot_plotDots([],0)$
   [292] gnuplot_plotDots(B,0)$
   \end{verbatim} }
   
   \epsfxsize=3cm
   \begin{center}
   \epsffile{../calc2000/katsura7.ps}
   \end{center}
   %%The first components of the solutions to the system of algebraic equations Katsura 7.
   
   \noindent
   
   
   \medbreak
   \noindent
   \fbox{ {\color{green} Authors}}
   Castro-Jim\'enez, Doltman, Hubert, Noro, Oaku, Okutani,
   Sturm, Takayama, Tamura, Verschelde.
   
 \end{document}  \end{document}
   
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