=================================================================== RCS file: /home/cvs/OpenXM/doc/sci-semi2001/factor-resume.tex,v retrieving revision 1.1 retrieving revision 1.2 diff -u -p -r1.1 -r1.2 --- OpenXM/doc/sci-semi2001/factor-resume.tex 2001/07/26 07:55:04 1.1 +++ OpenXM/doc/sci-semi2001/factor-resume.tex 2001/07/26 09:19:34 1.2 @@ -1,4 +1,4 @@ -%$OpenXM$ +%$OpenXM: OpenXM/doc/sci-semi2001/factor-resume.tex,v 1.1 2001/07/26 07:55:04 noro Exp $ \documentclass[12pt]{jarticle} %\oddsidemargin -0.25in %\evensidemargin -0.25in @@ -252,7 +252,7 @@ $tr \equiv 2 \bmod 3$}\\ $b_0=x^2+1$, $c_0=x^2+x+2$ $B$H$9$k$H3N$+$K(B $$f \equiv b_0c_0 \bmod 3$$ $B$,@.$jN)$D(B. $B$b$H$N<0$KLa$k$H(B, -$$gh \equiv (b_0+3b_1)(c_0+3c_1) \equiv 3^2$$ $B$h$j(B +$$gh \equiv (b_0+3b_1)(c_0+3c_1) \bmod 3^2$$ $B$h$j(B $$f-gh \equiv a_0-b_0c_0+3(a_1-(c_0b_1+b_0c_1)) \bmod 3^2$$ $a_0\equiv b_0c_0 \bmod 3$ $B$h$jN>JU$r(B 3 $B$G3d$k$H(B $$(f-gh)/3 \equiv (a_0-b_0c_0)/3+(a_1-(c_0b_1+b_0c_1)) \bmod 3$$$B$5$F(B, @@ -424,8 +424,8 @@ $k > 1$ $B$GI,MW$H$J$k(B $v_0$, $w_0$ $B$,B8:_$9$k$ \item $BAw?.B&$O80$G0E9f2=$7(B, $B\$7$/=R$Y$F$$$k(B. $BB>$NJ88%$K$D$$$F$O(B, $B$3$l$i$NK\$NJ88%I=$r;2>H$7$F$[(B $B$7$$(B. \cite{ASIR} $B$O%U%j!<$J7W;;5!Be?t%7%9%F%`(B($B?t<0=hM}%7%9%F%`(B)$B$G(B, \cite{NORO} $B$K=q$+$l$?%"%k%4%j%:%`$O$[$\e$N(B $B%U%)%k%@(B {\tt asir} $B$r3+$-(B,$B$5$i$K(B {\tt +bin} $B%U%)%k%@$r3+$-(B {\tt asirgui} $B%"%$%3%s$r%@%V%k%/%j%C%/$7$^$9(B. $B%^(B +$B%K%e%"%k(B({\tt index.html}), $BF~Lg=q(B({\tt index-asir-book.html})$B$J$I$b(B +CDROM $B$K$$$l$F$"$j$^$9(B. Asir $B$N%[!<%`%Z!<%8$O(B, \\ +{\tt http://www.math.kobe-u.ac.jp/Asir/asir.html} $B$G$9(B. {\tt asirgui} $B$O(B +$B%G%9%/%H%C%W$X%3%T!<$9$k$HF0$-$^$;$s(B. $B%^%$%I%-%e%a%s%H$X$N%3%T!<$O(B($BB?(B +$BJ,(B)$BBg>fIW$G$9(B. $B$?$@$7(B {\tt asir} $B%U%)%k%@A4BN$r%3%T!<$9$kI,MW$,$"$j$^(B +$B$9(B. ({\tt asirgui} $B$OF|K\8l$N%Q%9L>$,$"$k$H%H%i%V%k$r5/$3$90Y(B. $B%G%9(B +$B%/%H%C%W$OF|K\8l$N%Q%9L>$rMxMQ$7$F$$$k(B.) + +\item +Asir $B$O%^%7%sL>$,F|K\8l$N>l9g(B, $BF0:n$,$*$+$7$/$J$j$^$9(B. +$B<+J,$N%3%s%T%e!<%?$N%^%7%sL>$rD4$Y$k$K$O(B, $B%G%9%/%H%C%W$N(B +$B%M%C%H%o!<%/%3%s%T%e!<%?%"%$%3%s$r%/%j%C%/$7$F2<$5$$(B. +LAN $B$K@\B3$5$l$F$$$J$$>l9g$O(B, 1 $BBf$@$1%3%s%T%e!<%?$,I=<($5$l$^$9$,(B, +$B$=$NL>A0$,<+J,$N%3%s%T%e!<%?$NL>A0$G$9(B. + +\item +CDROM $B>e$N(B {\tt povwin3} $B$r%@%V%k%/%j%C%/$9$k$H(B, ray tracer povray $B$N(B +$B%$%s%9%H!<%k$,;O$^$j$^$9(B. povray $B$NF|K\8l$N@bL@=q$H$7$F$O(B, $B%"%9%-!<=P(B +$BHG6I$N!V(BPOV-Ray $B$G$O$8$a$k%l%$%H%l!<%7%s%0!W(B $B>.<pJs$rF@$k$3$H$,2DG=$G$9(B. + +\item +$B?@8MBg3X?t3X65<<$N(B web page $B$KCV$$$F$"$k(B, $B6JLL$N2hA|=8$r<}O?$7$F$"$j$^(B +$B$9(B.\\ +{\tt web-math-kobe-u} $B%U%)%k%@$r3+$$$?$N$A(B, {\tt index.html} $B$r%@(B +$B%V%k%/%j%C%/$7$F(B,$BI=<($5$l$?%Z!<%8$N(B Mathematical Diversion $B$r3+$-$^$9!#(B +\end{enumerate} \end{document}