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Diff for /OpenXM/doc/ascm2001p/heterotic-network.tex between version 1.4 and 1.6

version 1.4, 2001/06/20 05:42:47 version 1.6, 2001/06/21 03:13:35
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 % $OpenXM: OpenXM/doc/ascm2001p/heterotic-network.tex,v 1.3 2001/06/20 02:09:45 takayama Exp $  % $OpenXM: OpenXM/doc/ascm2001p/heterotic-network.tex,v 1.5 2001/06/21 00:15:34 takayama Exp $
 \section{Applications}  \section{Applications}
   
 \subsection{Heterogeneous Servers}  \subsection{Heterogeneous Servers}
Line 10  like a subroutine.
Line 10  like a subroutine.
 Since OpenXM provides a universal stack machine which does not  Since OpenXM provides a universal stack machine which does not
 depend on each server,  depend on each server,
 it is relatively easy to install new servers.  it is relatively easy to install new servers.
 We can build a new computer math system by assembling  We can build a new mathematical software system by assembling
 different OpenXM servers.  different OpenXM servers.
 OpenXM servers currently provide 1077 functions  OpenXM servers currently provide 1077 functions
 \cite{openxm-1077}.  \cite{openxm-1077}.
Line 113  and $\beta \in {\bf C}^d$.
Line 113  and $\beta \in {\bf C}^d$.
 The book by Saito, Sturmfels and Takayama \cite{sst-book}  The book by Saito, Sturmfels and Takayama \cite{sst-book}
 discusses algorithmic methods to construct series solutions of the GKZ  discusses algorithmic methods to construct series solutions of the GKZ
 system.  system.
 The current Asir-contrib-HG package is built in order to implement  The current Asir-contrib/Hypergeoemtric package is built in order to implement
 these algorithms.  these algorithms.
 What we need for the implementation are mainly  What we need for the implementation are mainly
 (1) Gr\"obner basis computation both in the ring of polynomials  (1) Gr\"obner basis computation both in the ring of polynomials

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