=================================================================== RCS file: /home/cvs/OpenXM/doc/calc2000p/func2.tex,v retrieving revision 1.1 retrieving revision 1.2 diff -u -p -r1.1 -r1.2 --- OpenXM/doc/calc2000p/func2.tex 2000/07/20 04:43:55 1.1 +++ OpenXM/doc/calc2000p/func2.tex 2000/07/20 05:58:00 1.2 @@ -1,6 +1,7 @@ -% $OpenXM$ +% $OpenXM: OpenXM/doc/calc2000p/func2.tex,v 1.1 2000/07/20 04:43:55 takayama Exp $ \documentclass[twocolumn]{article} \usepackage{color} +\usepackage{epsfig} \title{\huge \color{blue} 4252 functions are available on our servers and libraries (continued)} \author{} \date{} @@ -15,10 +16,13 @@ on our servers and libraries (continued)} {\color{red} syz} (syzygy), {\color{red} annfs} (Annhilating ideal of $f^s$), {\color{red} bfunction}, +{\color{red} schreyer} (free resolution by the Schreyer method), {\color{red} vMinRes} (V-minimal free resolution), +{\color{red} characteristic} (Characteristic variety), {\color{red} restriction} in the derived category of $D$-modules, {\color{red} integration} in the derived category, {\color{red} tensor} in the derived category, +{\color{red} dual} (Dual as a D-module), {\color{red} slope}. \medbreak @@ -40,8 +44,103 @@ and the ring of formal power series). Helping to derive and prove {\color{red} combinatorial} and {\color{red} special function identities}, {\color{red} gkz} (GKZ hypergeometric differential equations), +{\color{red} appell} (Appell's hypergeometric differential 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). +\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} \ No newline at end of file