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Annotation of OpenXM/doc/calc2000p/func2.tex, Revision 1.1

1.1     ! takayama    1: % $OpenXM$
        !             2: \documentclass[twocolumn]{article}
        !             3: \usepackage{color}
        !             4: \title{\huge \color{blue} 4252 functions are available
        !             5: on our servers and libraries (continued)}
        !             6: \author{} \date{}
        !             7: \begin{document}
        !             8: \maketitle
        !             9:
        !            10: \noindent
        !            11: \fbox{\huge {\color{green} $D$-modules}} ($D$ is the Weyl algebra)
        !            12:
        !            13: \noindent
        !            14: {\color{red} gb } (Gr\"obner basis),
        !            15: {\color{red} syz} (syzygy),
        !            16: {\color{red} annfs} (Annhilating ideal of $f^s$),
        !            17: {\color{red} bfunction},
        !            18: {\color{red} vMinRes} (V-minimal free resolution),
        !            19: {\color{red} restriction} in the derived category of $D$-modules,
        !            20: {\color{red} integration} in the derived category,
        !            21: {\color{red} tensor}  in the derived category,
        !            22: {\color{red} slope}.
        !            23:
        !            24: \medbreak
        !            25: \noindent
        !            26: \fbox{\huge {\color{green} Cohomology groups}}
        !            27:
        !            28: \noindent
        !            29: {\color{red} deRham} (The de Rham cohomology groups of
        !            30: ${\bf C}^n \setminus V(f)$,
        !            31: {\color{red} ext} (Ext modules for a holonomic $D$-module $M$
        !            32: and the ring of formal power series).
        !            33:
        !            34: \medbreak
        !            35: \noindent
        !            36: \fbox{\huge
        !            37:  {\color{green} Differential equations}}
        !            38:
        !            39: \noindent
        !            40: Helping to derive and prove {\color{red} combinatorial} and
        !            41: {\color{red} special function identities},
        !            42: {\color{red} gkz} (GKZ hypergeometric differential equations),
        !            43: {\color{red} indicial} (indicial equations),
        !            44: {\color{red} dsolv} (series solutions of holonomic systems).
        !            45:
        !            46:
        !            47: \end{document}