%\pagestyle{empty} \topmargin -0.2in %\oddsidemargin -0.25in %\evensidemargin -0.25in \oddsidemargin 0.2in \evensidemargin 0.2in \textwidth 6in \textheight 9in \font\tenmsb=msbm10 scaled \magstep1 %\font\tenmsb=msbm10 \font\sevenmsb=msbm7 \font\fivemsb=msbm5 \newfam\msbfam \textfont\msbfam=\tenmsb \scriptfont\msbfam=\sevenmsb \scriptscriptfont\msbfam=\fivemsb \edef\msbfam@{\hexnumber@\msbfam} \def\Bbb#1{{\fam\msbfam\relax#1}} \def\Q{\Bbb{Q}} \def\Z{\Bbb{Z}} \def\N{\Bbb{N}} \def\C{\Bbb{C}} \def\o{\over} \def\mysection#1{\section{\underline{#1}}} \def\mysubsection#1{\subsection{\underline{#1}}} \def\til{$\tilde{\ }$} \renewcommand{\thefootnote}{\fnsymbol{footnote}} \newcommand{\valid}[3]{${#1} {\not{|}} hc_{#3}({#2})$} \newcommand{\notvalid}[3]{${#1} | hc_{#3}({#2})$} \newtheorem{itpr}{命題}[chapter] \newenvironment{pr}{\begin{itpr}\rm}{\end{itpr}} \newtheorem{itlm}[itpr]{補題} \newenvironment{lm}{\begin{itlm}\rm}{\end{itlm}} \newtheorem{itth}[itpr]{定理} \renewenvironment{th}{\begin{itth}\rm}{\end{itth}} \newtheorem{itco}[itpr]{系} \newenvironment{co}{\begin{itco}\rm}{\end{itco}} \newtheorem{itdf}[itpr]{定義} \newenvironment{df}{\begin{itdf}\rm}{\end{itdf}} \newtheorem{ital}[itpr]{アルゴリズム} \newenvironment{al}{\begin{ital}\rm}{\end{ital}} \newtheorem{itre}[itpr]{注意} \newenvironment{re}{\begin{itre}\rm}{\end{itre}} \newtheorem{itex}[itpr]{例} \newenvironment{ex}{\begin{itex}\rm}{\end{itex}} \newtheorem{itmt}[itpr]{方法} \newenvironment{mt}{\begin{itmt}\rm}{\end{itmt}} \newtheorem{itnt}[itpr]{Notation} \newenvironment{nt}{\begin{itnt}\rm}{\end{itnt}} \newtheorem{itas}[itpr]{仮定} \newenvironment{as}{\begin{itas}\rm}{\end{itas}} \newtheorem{itpro}[itpr]{Procedure} \newenvironment{pro}{\begin{itpro}\rm}{\end{itpro}} \newtheorem{itprob}[itpr]{問題} \newenvironment{prob}{\begin{itprob}\rm}{\end{itprob}} \renewcommand{\thefootnote}{\fnsymbol{footnote}} \newcommand{\qed}{$\Box$} \newcommand{\mred}[1]{\smash{\mathop{\hbox{\rightarrowfill}}\limits_{\scriptstyle #1}}} \newcommand{\tmred}[1]{\smash{\mathop{\hbox{\rightarrowfill}}\limits_{\scriptstyle #1}\limits^{\scriptstyle *}}} \def\Norm{{\rm Norm}} \def\res{{\rm res}} \def\GCD{{\rm GCD}} \def\LCM{{\rm LCM}} \def\tdeg{{\rm tdeg}} \def\Ker{{\rm Ker}} \def\Tr{{\rm Tr}} \def\prem{{\rm prem}} \def\lc{{\rm lc}} \def\pp{{\rm pp}} \def\cont{{\rm cont}} \def\gr{Gr\"obner 基底} \def\st{\, s.t. \,} \def\noi{\noindent} \def\ve{\vfill\eject} \def\o{\over} \def\mysection#1{\section{\underline{#1}}} \def\mysubsection#1{\subsection{\underline{#1}}} \def\proof{[証明]\,}