%%%
%%%                数学関係 共通マクロ集 $Revision: 1.15 $
%%%                              by FURIHATA Daisuke
%%%
%%%    usage:  プリアンブルの適当な部分で input{...} で読み込む
%%%
%%% $Header: /staff2/paoon/tex/MACROS/math_mac.tex,v 1.15 1999/05/06 05:05:59 paoon Exp $
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

  %%% remark environment
  \newenvironment{remark}{\noindent{\bf Remark} :}%
    {\mbox{}\hfill\mbox{\rm\normalsize$\Box$}\\%
    }
  %%% Proof environment
  \newenvironment{proof}{{\em Proof} :}%
    {\mbox{}\hfill\mbox{\rm$\Box$}\\%
    }

  %%% real field R
  \newcommand{\Rfield}{\mbox{\bf R}}
  %%% integer field Z
  \newcommand{\Ifield}{\mbox{\bf Z}}
  %%% positive integer field Z+
  \newcommand{\PIfield}{\mbox{\bf Z$^{+}$}}
  %%% natual integer field N
  \newcommand{\NIfield}{\mbox{\bf N}}

   %%%  sech 記号
   \newcommand{\sech}{ \mbox{sech} }

   %%%  grad, div, rot 記号
   \newcommand{\Vgrad}{\mbox{grad }}
   \newcommand{\Vdiv}{\mbox{div }} 
   \newcommand{\Vrot}{\mbox{rot }}

   %%%  1/2
   \newcommand{\half}{\frac{1}{2}}

   %%%  逆ベクトルアクセント
   \newcommand{\ivec}[1]{\stackrel{\leftarrow}{#1}}

   %%%  定義記号
   \newcommand{\defeq}{\stackrel{\mbox{\footnotesize def}}{=}}

   %%%  逆数
   \newcommand{\rev}[1]{\frac{1}{#1}}

   %%%  偏微分
   \newcommand{\pdrv}[2]{\frac{\partial #1}{\partial #2}}

   %%%  全微分
   \newcommand{\drv}[2]{\frac{d#1}{d#2}}

   %%%  変分
   \newcommand{\ddrv}[2]{\frac{\delta #1}{\delta #2}}

   %%%  < （ブラ）と > (ケット)
   \newcommand{\lag}{\langle}
   \newcommand{\rag}{\rangle}

   %%%  縦ベクトル
   \newcommand{\vvec}[1]{\left(\begin{array}{c}#1\end{array}\right)}

   %%%  行列
   \newcommand{\vmatrix}[2]{\left(\begin{array}{#1}#2\end{array}\right)}

   %%%  行列式
   \newcommand{\dmatrix}[2]{\left|\begin{array}{#1}#2\end{array}\right|}

  %%% 行列、ベクトルの転置
  \newcommand{\inversion}[1]{#1^{\!\mbox{\sf\tiny T}}}

   %%%  boldmath で出力
   \newcommand{\vecbm}[1]{\mbox{\boldmath $#1$}}

   %%%  displaystyle で出力
   \newcommand{\dpsty}{\displaystyle}

   %%%  ディスプレイ数式環境の 始め と 終り
   \newcommand{\beq}{\begin{equation}}
   \newcommand{\eeq}{\end{equation}}

   %%%  boldmath の簡略版 : 一字のみ

   \newcommand{\Va}{\vecbm{a}}
   \newcommand{\Vb}{\vecbm{b}}
   \newcommand{\Vc}{\vecbm{c}}
   \newcommand{\Vd}{\vecbm{d}}
   \newcommand{\Ve}{\vecbm{e}}
   \newcommand{\Vf}{\vecbm{f}}
   \newcommand{\Vg}{\vecbm{g}}
   \newcommand{\Vh}{\vecbm{h}}
   \newcommand{\Vi}{\vecbm{i}}
   \newcommand{\Vj}{\vecbm{j}}
   \newcommand{\Vk}{\vecbm{k}}
   \newcommand{\Vl}{\vecbm{l}}
   \newcommand{\Vm}{\vecbm{m}}
   \newcommand{\Vn}{\vecbm{n}}
   \newcommand{\Vo}{\vecbm{o}}
   \newcommand{\Vp}{\vecbm{p}}
   \newcommand{\Vq}{\vecbm{q}}
   \newcommand{\Vr}{\vecbm{r}}
   \newcommand{\Vs}{\vecbm{s}}
   \newcommand{\Vt}{\vecbm{t}}
   \newcommand{\Vu}{\vecbm{u}}
   \newcommand{\Vv}{\vecbm{v}}
   \newcommand{\Vw}{\vecbm{w}}
   \newcommand{\Vx}{\vecbm{x}}
   \newcommand{\Vy}{\vecbm{y}}
   \newcommand{\Vz}{\vecbm{z}}

   \newcommand{\VA}{\vecbm{A}}
   \newcommand{\VB}{\vecbm{B}}
   \newcommand{\VC}{\vecbm{C}}
   \newcommand{\VD}{\vecbm{D}}
   \newcommand{\VE}{\vecbm{E}}
   \newcommand{\VF}{\vecbm{F}}
   \newcommand{\VG}{\vecbm{G}}
   \newcommand{\VH}{\vecbm{H}}
   \newcommand{\VI}{\vecbm{I}}
   \newcommand{\VJ}{\vecbm{J}}
   \newcommand{\VK}{\vecbm{K}}
   \newcommand{\VL}{\vecbm{L}}
   \newcommand{\VM}{\vecbm{M}}
   \newcommand{\VN}{\vecbm{N}}
   \newcommand{\VO}{\vecbm{O}}
   \newcommand{\VP}{\vecbm{P}}
   \newcommand{\VQ}{\vecbm{Q}}
   \newcommand{\VR}{\vecbm{R}}
   \newcommand{\VS}{\vecbm{S}}
   \newcommand{\VT}{\vecbm{T}}
   \newcommand{\VU}{\vecbm{U}}
   \newcommand{\VV}{\vecbm{V}}
   \newcommand{\VW}{\vecbm{W}}
   \newcommand{\VX}{\vecbm{X}}
   \newcommand{\VY}{\vecbm{Y}}
   \newcommand{\VZ}{\vecbm{Z}}

   \newcommand{\Vzero}{\vecbm{0}}
   \newcommand{\Vone}{\vecbm{1}}
   \newcommand{\Vtwo}{\vecbm{2}}
   \newcommand{\Vthree}{\vecbm{3}}
   \newcommand{\Vfour}{\vecbm{4}}
   \newcommand{\Vfive}{\vecbm{5}}
   \newcommand{\Vsix}{\vecbm{6}}
   \newcommand{\Vseven}{\vecbm{7}}
   \newcommand{\Veight}{\vecbm{8}}
   \newcommand{\Vnine}{\vecbm{9}}

%%%  数学用マクロの設定 END

%%%  数学用マクロの見本(各自ファイルで独自に設定する) BEGIN

%   %%%  数式番号の表現を変える
%   \renewcommand{\theequation}{\thesection.\arabic{equation}}

%%%  数学用マクロの見本(各自ファイルで独自に設定する) END

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
%%% $Log: math_mac.tex,v $
%%% Revision 1.15  1999/05/06 05:05:59  paoon
%%% *** empty log message ***
%%%
%%% Revision 1.14  1999/03/30 12:22:49  paoon
%%% *** empty log message ***
%%%
%%% Revision 1.13  1998/10/31 19:55:05  paoon
%%% *** empty log message ***
%%%
%%% Revision 1.12  1998/10/31 19:50:48  paoon
%%% I add "remark" and "proof" environments.
%%%
%%% Revision 1.11  1998/08/10 12:23:54  paoon
%%% *** empty log message ***
%%%
%%% Revision 1.10  1998/08/10 12:16:57  paoon
%%% slighly modified "\defeq".
%%%
%%% Revision 1.9  1998/07/15 14:48:26  paoon
%%% I added Rfield, Zfield.
%%%
%%%Revision 1.8  1996/09/03  08:43:46  paoon
%%%I delete dpp & spp series operators.
%%%Because they should be difined in each tex sources.
%%%
%%%Revision 1.7  1996/08/27  17:24:38  paoon
%%%I added sech command.
%%%
%%%Revision 1.6  1996/08/14  22:54:30  paoon
%%%I added \dpm.
%%%
%%%Revision 1.5  1996/01/19  08:42:14  paoon
%%%grad, div, rot 記号を導入。
%%%
%%%Revision 1.4  1995/11/28  15:08:22  paoon
%%%逆数マクロ \rev を導入。
%%%
%%%Revision 1.3  1995/02/28  12:36:49  paoon
%%%1文字用 boldmath フォントマクロを面倒だが作った。
%%%
%%%Revision 1.2  1995/02/27  07:20:04  paoon
%%%縦ベクトルマクロの定義がおかしかったので直した。
%%%
%%%Revision 1.1  1995/02/27  05:49:15  paoon
%%%Initial revision
%%%