| version 1.10, 2000/01/16 10:58:19 |
version 1.11, 2000/01/17 07:06:53 |
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| % $OpenXM: OpenXM/doc/issac2000/heterotic-network.tex,v 1.9 2000/01/16 06:39:39 takayama Exp $ |
% $OpenXM: OpenXM/doc/issac2000/heterotic-network.tex,v 1.10 2000/01/16 10:58:19 takayama Exp $ |
| \section{Applications} |
\section{Applications} |
| |
|
| \subsection{Heterogeneous Servers} |
\subsection{Heterogeneous Servers} |
| Line 33 equations for the function $f^{-1}$. |
|
| Line 33 equations for the function $f^{-1}$. |
|
| An algorithm to determine generators of the annihilating ideal |
An algorithm to determine generators of the annihilating ideal |
| was given by Oaku (see, e.g., \cite[5.3]{sst-book}). |
was given by Oaku (see, e.g., \cite[5.3]{sst-book}). |
| His algorithm reduces the problem to computations of Gr\"obner bases |
His algorithm reduces the problem to computations of Gr\"obner bases |
| in $D$ and to find the maximal integral root of a polynomial. |
in $D$ and to find the minimal integral root of a polynomial. |
| This algorithm (the function {\tt annfs}) is implemented by |
This algorithm (the function {\tt annfs}) is implemented by |
| kan/sm1 \cite{kan}, for Gr\"obner basis computation in $D$, and |
kan/sm1 \cite{kan}, for Gr\"obner basis computation in $D$, and |
| {\tt ox\_asir}, to factorize polynomials to find the integral |
{\tt ox\_asir}, to factorize polynomials to find the integral |
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