=================================================================== RCS file: /home/cvs/OpenXM/doc/Papers/rims-2002-noro-ja.tex,v retrieving revision 1.3 retrieving revision 1.4 diff -u -p -r1.3 -r1.4 --- OpenXM/doc/Papers/rims-2002-noro-ja.tex 2002/12/09 02:09:23 1.3 +++ OpenXM/doc/Papers/rims-2002-noro-ja.tex 2002/12/09 04:23:05 1.4 @@ -1,16 +1,17 @@ -% $OpenXM: OpenXM/doc/Papers/rims-2002-noro-ja.tex,v 1.2 2002/12/06 09:23:42 noro Exp $ +% $OpenXM: OpenXM/doc/Papers/rims-2002-noro-ja.tex,v 1.3 2002/12/09 02:09:23 noro Exp $ \documentclass[theorem]{jarticle} %\usepackage{jssac} -%\topmargin -0.5in -%\oddsidemargin -0.25in -%\evensidemargin -0.25in +\topmargin -0.5in +\oddsidemargin 0in +\evensidemargin 0in % -%\textwidth 7in -%\textheight 9in -%\columnsep 0.33in +\textwidth 6in +\textheight 9in +\columnsep 0.33in \def\HT{{\rm HT}} \def\HC{{\rm HC}} +\def\GF{{\rm GF}} \def\GCD{{\rm GCD}} \def\tdeg{{\rm tdeg}} \def\pp{{\rm pp}} @@ -281,7 +282,91 @@ Hensel $B9=@.$K$*$$$F$O(B, $K[y]/(y^d)$ $B$r(B, $ $BI.e$2$F$$$k$?$a(B, $BHf3S$9$k$3$H$O%"%s%U%'%"$G$O$J$$$H9M$($k(B. +$BNc$H$7$F$O(B, P.S. Wang $B$K$h$k(B, $Be$G0x?tJ,2r$r9T$C$?$3$H$r<($9(B. 8 $BHV$NB?9`<0(B +$B$N$h$&$KNc30E*$K;~4V$,$+$+$k$b$N$O$"$k$,(B, $B$*$*$`$M(B, Asir $B$,(B +$BNI9%$J%Q%U%)!<%^%s%9$r<($7$F$$$k(B. +\begin{table}[hbtp] +\begin{center} +% & & & & & & & & & & & & & & & \\ \hline +{\normalsize +\begin{tabular}{c|ccccccccc} \hline +$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline +2 & N & F & F & F & N & N & 0.01 & 1 & 0.01 \\ \hline +3 & 0.07 & 0.1 & 0.07 & N & 0.4 & N & 0.01 & 0.02 & 0.06 \\ \hline +5 & N & 0.05 & 0.08 & 3.5 & 0.2 & 0.4 & 0.01 & 0.6 & 0.1 \\ \hline +7 & 0.08 & 0.1 & 0.1 & 0.25 & 0.6 & 0.5 & 0.02 & 1 & F \\ \hline +\end{tabular} + +\begin{tabular}{c|cccccc} \hline +$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline +2 & F & N & 0.005 & 0.006 & 0.008 & F \\ \hline +3 & 4 & N & 0.004 & 0.007 & 0.14 & 0.02 \\ \hline +5 & 0.2 & F & 0.005 & 0.006 & 0.03 & 0.4 \\ \hline +7 & 0.6 & 14 & 0.005 & 0.16 & 0.04 & 0.6 \\ \hline +\end{tabular} + +\begin{tabular}{c|ccccccccc} \hline +$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline +547 & 0.2& 0.2& 0.1& 0.3& 1& 1.2& 0.02& 6& F\\ \hline +32003& 0.2& 0.2& 0.2& 0.4 & 1 & 1 & 0.02 & 4.2 & F \\ \hline +99981793 & 0.5 & 0.6 & 0.5 & 3 & 3 & 4.5 & 0.02 & N & F\\ \hline +\end{tabular} + +\begin{tabular}{c|cccccc} \hline +$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline +547 & 0.9 &3.3 & 0.005 & 0.2 & 0.1 & 0.4 \\ \hline +32003 & 1.8 & 4.9 &0.006 & 0.3 & 0.1 & 0.4 \\ \hline +99981793 & 2.6 & 11 & 0.006 & 0.9 & 0.5 & 1.4 \\ \hline +\end{tabular} +} +\end{center} +\caption{$B0x?tJ,2r(B (Maple7)} +\end{table} + +\begin{table}[hbtp] +\begin{center} +% & & & & & & & & & & & & & & & \\ \hline +{\normalsize +\begin{tabular}{c|ccccccccc} \hline +$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline +2(5) & 0.003 & 0.003 & 0.004 & 0.01 & 0.02 & 0.05 & 0.001 & 0.01 & 0.0003 \\ \hline +3(5) & 0.003 & 0.002 & 0.005 & 0.003 & 0.003 & 0.1 & 0.002 & 0.001 & 0.003 \\ \hline +5(2) & 0.004 & 0.003 & 0.004 & 0.02 & 0.06 & 0.4 & 0.002 & 0.4 & 0.005 \\ \hline +7(2) & 0.004 & 0.004 & 0.005 & 0.03 & 0.1 & 0.1 & 0.004 & 1.8 & 0.2 \\ \hline +\end{tabular} + +\begin{tabular}{c|cccccc} \hline +$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline +2(5) & 0.03 & 0.07 & 0.0006 & 0.001 & 0.002 & 0.001 \\ \hline +3(5) & 0.04 & 0.2 & 0.0001 & 0.0005 & 0.02 & 0.001 \\ \hline +5(2) & 0.01 & 0.2 & 0.001 & 0.001 & 0.004 & 0.01 \\ \hline +7(2) & 0.02 & 0.6 & 0.001 & 0.007 & 0.005 & 0.01 \\ \hline +\end{tabular} + +\begin{tabular}{c|ccccccccc} \hline +$p$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline +547 & 0.004 & 0.004 & 0.005 & 0.03 & 0.05 & 0.2 & 0.02& 2& 0.2\\ \hline +32003 & 0.004 & 0.004 & 0.005 &0.04 &0.07 & 0.2 & 0.004 & 2 & 0.2 \\ \hline +99981793& 0.004 & 0.004& 0.005 & 0.03 & 0.03 & 0.2 & 0.004 & 4 & 0.2 \\ \hline +\end{tabular} + +\begin{tabular}{c|cccccc} \hline +$p$ & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline +547 & 0.04 & 0.3 & 0.001 &0.006 & 0.006 & 0.01 \\ \hline +32003 & 0.04 &0.2 &0.001 &0.007 & 0.006 & 0.03 \\ \hline +99981793 & 0.04 & 0.3 &0.001 & 0.008 & 0.008 & 0.01 \\ \hline +\end{tabular} +} +\end{center} +\caption{$B0x?tJ,2r(B (Asir)} +\end{table} \section{$B$*$o$j$K(B} $B:#8e$NM=Dj$H$7$F(B, $B