「スタイル検討」の版間の差分

提供: ORWiki
ナビゲーションに移動 検索に移動
 
(2人の利用者による、間の13版が非表示)
1行目: 1行目:
== 多段確率決定樹表(ツリーテーブル) (0053-a-e-03-1) ==
+
= 基礎編 =
 
+
[[Special:Whatlinkshere/スタイル検討]]
 
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Table 1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\begin{center}\footnotesize\renewcommand{\arraystretch}{0.91}
 
\begin{tabular}{|cr@{\hspace*{0.5mm}}|c|l|l|c|c|} \hline
 
\multicolumn{2}{|c|}{\makebox[62.6mm][c]{履歴}}&
 
\makebox[0.1mm][c]{加法} &
 
{経路} &
 
\multicolumn{1}{|c|}{積} &
 
\multicolumn{1}{|c|}{部期} &
 
{全期}\\ \hline
 
\hline
 
&$s_1$ 0.3 & 2.0 & {\it 0.64} & 1.28  & & \\
 
&$s_2$ 1.0 & 2.7 & {\it 0.08} & 0.216 & \makebox[6mm][c]{1.696} & \\
 
&$s_3$ 0.8 & 2.5 & {\it 0.08} & 0.2  & & \\ \cline{3-5}
 
&$s_1$ 0.3 & 1.6 & {\it 0.08} & 0.128 & & \\
 
&$s_2$ 1.0 & 2.3 & {\it 0.72} & 1.656 & \makebox[6mm][c]{\bf 1.784} & \\
 
&$s_3$ 0.8 & 2.1 & {\it 0.0}  & 0    & & \\ \cline{3-6}
 
&$s_1$ 0.3 & 2.0 & {\it 0.0}  & 0    & & \\
 
&$s_2$ 1.0 & 2.7 & {\it 0.01} & 0.027 & \makebox[6mm][c]{\bf 0.252} & \\
 
&$s_3$ 0.8 & 2.5 & {\it 0.09} & 0.225 & & \makebox[6mm][c]{2.248} \\
 
\cline{3-5}
 
&$s_1$ 0.3 & 1.6 & {\it 0.08} & 0.128 & & \\
 
&$s_2$ 1.0 & 2.3 & {\it 0.01} & 0.023 & \makebox[6mm][c]{0.172} & \\
 
&$s_3$ 0.8 & 2.1 & {\it 0.01} & 0.021 & & \\ \cline{3-6}
 
&$s_1$ 0.3 & 2.0 & {\it 0.08} & 0.16  & & \\
 
&$s_2$ 1.0 & 2.7 & {\it 0.01} & 0.027 & \makebox[6mm][c]{\bf 0.212} & \\
 
&$s_3$ 0.8 & 2.5 & {\it 0.01} & 0.025 & & \\ \cline{3-5}
 
&$s_1$ 0.3 & 1.6 & {\it 0.01} & 0.016 & & \\
 
&$s_2$ 1.0 & 2.3 & {\it 0.0}  & 0    & \makebox[6mm][c]{0.205} & \\
 
&$s_3$ 0.8 & 2.1 & {\it 0.09} & 0.189 & & \\
 
%\cline{3-7}
 
\hline
 
\end{tabular}
 
\end{center}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Figure 1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\vspace*{-228mm}\hspace*{6mm}
 
\setlength{\unitlength}{0.001in}
 
%\setlength{\unitlength}{0.0001in}
 
\begin{picture}(2300,5750)(0,0)
 
\special{pn 8}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_2) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 492.4}%
 
\special{pa 2270 340}%
 
\special{fp}%
 
\special{pa 1600 492.4}%
 
\special{pa 2270 492.4}%
 
\special{fp}%
 
\special{pa 1600 492.4}%
 
\special{pa 2270 644.8}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 949.6}%
 
\special{pa 2270 797.2}%
 
\special{fp}%
 
\special{pa 1600 949.6}%
 
\special{pa 2270 949.6}%
 
\special{fp}%
 
\special{pa 1600 949.6}%
 
\special{pa 2270 1102}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 1406.8}%
 
\special{pa 2270 1254.4}%
 
\special{fp}%
 
\special{pa 1600 1406.8}%
 
\special{pa 2270 1406.8}%
 
\special{fp}%
 
\special{pa 1600 1406.8}%
 
\special{pa 2270 1559.2}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 1864}%
 
\special{pa 2270 1711.6}%
 
\special{fp}%
 
\special{pa 1600 1864}%
 
\special{pa 2270 1864}%
 
\special{fp}%
 
\special{pa 1600 1864}%
 
\special{pa 2270 2016.4}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 2321.2}%
 
\special{pa 2270 2168.8}%
 
\special{fp}%
 
\special{pa 1600 2321.2}%
 
\special{pa 2270 2321.2}%
 
\special{fp}%
 
\special{pa 1600 2321.2}%
 
\special{pa 2270 2473.6}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 2778.4}%
 
\special{pa 2270 2626}%
 
\special{fp}%
 
\special{pa 1600 2778.4}%
 
\special{pa 2270 2778.4}%
 
\special{fp}%
 
\special{pa 1600 2778.4}%
 
\special{pa 2270 2930.8}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 3235.6}%
 
%\special{pa 2270 3083.2}%
 
%\special{fp}%
 
%\special{pa 1600 3235.6}%
 
%\special{pa 2270 3235.6}%
 
%\special{fp}%
 
%\special{pa 1600 3235.6}%
 
%\special{pa 2270 3388}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 3692.8}%
 
%\special{pa 2270 3540.4}%
 
%\special{fp}%
 
%\special{pa 1600 3692.8}%
 
%\special{pa 2270 3692.8}%
 
%\special{fp}%
 
%\special{pa 1600 3692.8}%
 
%\special{pa 2270 3845.2}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 4150}%
 
%\special{pa 2270 3997.6}%
 
%\special{fp}%
 
%\special{pa 1600 4150}%
 
%\special{pa 2270 4150}%
 
%\special{fp}%
 
%\special{pa 1600 4150}%
 
%\special{pa 2270 4302.4}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 4607.2}%
 
%\special{pa 2270 4454.8}%
 
%\special{fp}%
 
%\special{pa 1600 4607.2}%
 
%\special{pa 2270 4607.2}%
 
%\special{fp}%
 
%\special{pa 1600 4607.2}%
 
%\special{pa 2270 4759.6}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 5064.4}%
 
%\special{pa 2270 4912}%
 
%\special{fp}%
 
%\special{pa 1600 5064.4}%
 
%\special{pa 2270 5064.4}%
 
%\special{fp}%
 
%\special{pa 1600 5064.4}%
 
%\special{pa 2270 5216.8}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 5521.6}%
 
%\special{pa 2270 5369.2}%
 
%\special{fp}%
 
%\special{pa 1600 5521.6}%
 
%\special{pa 2270 5521.6}%
 
%\special{fp}%
 
%\special{pa 1600 5521.6}%
 
%\special{pa 2270 5674}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1000 721}%
 
\special{pa 1600 492.4}%
 
\special{da 0.05}%
 
\special{pa 1000 721}%
 
\special{pa 1600 949.6}%
 
\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1000 1635.4}%
 
\special{pa 1600 1406.8}%
 
\special{da 0.05}%
 
\special{pa 1000 1635.4}%
 
\special{pa 1600 1864}%
 
\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1000 2549.8}%
 
\special{pa 1600 2321.2}%
 
\special{da 0.05}%
 
\special{pa 1000 2549.8}%
 
\special{pa 1600 2778.4}%
 
\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1000 3464.2}%
 
%\special{pa 1600 3235.6}%
 
%\special{da 0.05}%
 
%\special{pa 1000 3464.2}%
 
%\special{pa 1600 3692.8}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1000 4378.6}%
 
%\special{pa 1600 4150}%
 
%\special{fp}%
 
%\special{pa 1000 4378.6}%
 
%\special{pa 1600 4607.2}%
 
%\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1000 5293}%
 
%\special{pa 1600 5064.4}%
 
%\special{fp}%
 
%\special{pa 1000 5293}%
 
%\special{pa 1600 5521.6}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_1) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 500 1635.4}%
 
\special{pa 1000 721}%
 
\special{fp}%
 
\special{pa 500 1635.4}%
 
\special{pa 1000 1635.4}%
 
\special{fp}%
 
\special{pa 500 1635.4}%
 
\special{pa 1000 2549.8}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 500 4378.6}%
 
%\special{pa 1000 3464.2}%
 
%\special{fp}%
 
%\special{pa 500 4378.6}%
 
%\special{pa 1000 4378.6}%
 
%\special{fp}%
 
%\special{pa 500 4378.6}%
 
%\special{pa 1000 5293}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 180 3007}%
 
\special{pa 500 1635.4}%
 
\special{da 0.05}%
 
%\special{pa 180 3007}%
 
%\special{pa 500 4378.6}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%% Nota. & Nume. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(300,-2950){\makebox(0,0){$s_1$}}
 
\put(1000,-621){\makebox(0,0){$s_1$}}
 
\put(1000,-1735.4){\makebox(0,0){$s_2$}}
 
\put(1000,-2649.8){\makebox(0,0){$s_3$}}
 
%\put(1000,-3344.2){\makebox(0,0){$s_1$}}
 
%\put(1000,-4458.6){\makebox(0,0){$s_2$}}
 
%\put(1000,-5373){\makebox(0,0){$s_3$}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(400,-2507){\makebox(0,0){$a_1$}}
 
%\put(400,-3507){\makebox(0,0){$a_2$}}
 
\put(1400,-644.8){\makebox(0,0){$a_1$}}
 
\put(1400,-949.6){\makebox(0,0){$a_2$}}
 
\put(1400,-1559.2){\makebox(0,0){$a_1$}}
 
\put(1400,-1864){\makebox(0,0){$a_2$}}
 
\put(1400,-2473.6){\makebox(0,0){$a_1$}}
 
\put(1400,-2778.4){\makebox(0,0){$a_2$}}
 
%\put(1400,-3368){\makebox(0,0){$a_1$}}
 
%\put(1400,-3672.8){\makebox(0,0){$a_2$}}
 
%\put(1400,-4282.4){\makebox(0,0){$a_1$}}
 
%\put(1400,-4587.2){\makebox(0,0){$a_2$}}
 
%\put(1400,-5196.8){\makebox(0,0){$a_1$}}
 
%\put(1400,-5501.6){\makebox(0,0){$a_2$}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(200,-2407){\makebox(0,0){\small 0.7}}
 
%\put(200,-3607){\makebox(0,0){\small 1.0}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(700,-1021){\makebox(0,0){\small\it 0.8}}
 
\put(800,-1535.4){\makebox(0,0){\small\it 0.1}}
 
\put(700,-2249.8){\makebox(0,0){\small\it 0.1}}
 
%\put(700,-3744.2){\makebox(0,0){\small\it 0.1}}
 
%\put(800,-4258.6){\makebox(0,0){\small\it 0.9}}
 
%\put(700,-4973){\makebox(0,0){\small\it 0.0}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(1200,-542.4){\makebox(0,0){\small 1.0}}
 
\put(1300,-749.6){\makebox(0,0){\small 0.6}}
 
\put(1200,-1456.8){\makebox(0,0){\small 1.0}}
 
\put(1300,-1664){\makebox(0,0){\small 0.6}}
 
\put(1200,-2371.2){\makebox(0,0){\small 1.0}}
 
\put(1300,-2578.4){\makebox(0,0){\small 0.6}}
 
%\put(1200,-3265.6){\makebox(0,0){\small 1.0}}
 
%\put(1300,-3472.8){\makebox(0,0){\small 0.6}}
 
%\put(1200,-4180){\makebox(0,0){\small 1.0}}
 
%\put(1300,-4387.2){\makebox(0,0){\small 0.6}}
 
%\put(1200,-5094.4){\makebox(0,0){\small 1.0}}
 
%\put(1300,-5301.6){\makebox(0,0){\small 0.6}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(1900,-340){\makebox(0,0){\small\it 0.8}}
 
\put(2100,-432.4){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-542.4){\makebox(0,0){\small\it 0.1}}
 
\put(1900,-797.2){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-889.6){\makebox(0,0){\small\it 0.9}}
 
\put(2100,-999.6){\makebox(0,0){\small\it 0.0}}
 
\put(1900,-1244.4){\makebox(0,0){\small\it 0.0}}
 
\put(2100,-1336.8){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-1446.8){\makebox(0,0){\small\it 0.9}}
 
\put(1900,-1701.6){\makebox(0,0){\small\it 0.8}}
 
\put(2100,-1794){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-1904){\makebox(0,0){\small\it 0.1}}
 
\put(1900,-2153.8){\makebox(0,0){\small\it 0.8}}
 
\put(2100,-2246.2){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-2356.2){\makebox(0,0){\small\it 0.1}}
 
\put(1900,-2626){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-2703.4){\makebox(0,0){\small\it 0.0}}
 
\put(2100,-2813.4){\makebox(0,0){\small\it 0.9}}
 
%\put(1900,-3063.2){\makebox(0,0){\small\it 0.8}}
 
%\put(2100,-3155.6){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-3265.6){\makebox(0,0){\small\it 0.1}}
 
%\put(1900,-3525.4){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-3607.8){\makebox(0,0){\small\it 0.9}}
 
%\put(2100,-3717.8){\makebox(0,0){\small\it 0.0}}
 
%\put(1900,-3972.6){\makebox(0,0){\small\it 0.0}}
 
%\put(2100,-4065){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-4175){\makebox(0,0){\small\it 0.9}}
 
%\put(1900,-4424.8){\makebox(0,0){\small\it 0.8}}
 
%\put(2100,-4517.2){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-4627.2){\makebox(0,0){\small\it 0.1}}
 
%\put(1900,-4882){\makebox(0,0){\small\it 0.8}}
 
%\put(2100,-4974.4){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-5084.4){\makebox(0,0){\small\it 0.1}}
 
%\put(1900,-5339.2){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-5431.6){\makebox(0,0){\small\it 0.0}}
 
%\put(2100,-5541.6){\makebox(0,0){\small\it 0.9}}
 
\end{picture}
 
\end{table}
 
%
 
 
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 
 
== 多段確率決定樹表(ツリーテーブル) (0053-a-e-03-2) ==
 
 
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Table 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%
 
\begin{table}[ht]
 
\caption{状態 $s_1$ からの2段確率決定樹表(続き)}
 
%\begin{center}
 
%図表1 : 状態 $s_1$ からの2段確率決定樹表
 
%\end{center}
 
\begin{center}\footnotesize\renewcommand{\arraystretch}{0.91}
 
\begin{tabular}{|cr@{\hspace*{0.5mm}}|c|l|l|c|c|} \hline
 
\multicolumn{2}{|c|}{\makebox[62.6mm][c]{履歴}}&
 
\makebox[0.1mm][c]{加法} &
 
{経路} &
 
\multicolumn{1}{|c|}{積} &
 
\multicolumn{1}{|c|}{部期} &
 
{全期}\\ \hline
 
\hline
 
&$s_1$ 0.3 & 2.3 & {\it 0.08} & 0.184 & & \\
 
&$s_2$ 1.0 & 3.0 & {\it 0.01} & 0.03  & \makebox[6mm][c]{0.242} & \\
 
&$s_3$ 0.8 & 2.8 & {\it 0.01} & 0.028 & & \\ \cline{3-5}
 
&$s_1$ 0.3 & 1.9 & {\it 0.01} & 0.019 & & \\
 
&$s_2$ 1.0 & 2.6 & {\it 0.09} & 0.234 & \makebox[6mm][c]{\bf 0.253} & \\
 
&$s_3$ 0.8 & 2.4 & {\it 0.0}  & 0    & & \\ \cline{3-6}
 
&$s_1$ 0.3 & 2.3 & {\it 0.0}  & 0    & & \\
 
&$s_2$ 1.0 & 3.0 & {\it 0.09} & 0.27  & \makebox[6mm][c]{\bf 2.538} & \\
 
&$s_3$ 0.8 & 2.8 & {\it 0.81} & 2.268 & & \makebox[6mm][c]{\bf 2.791} \\
 
\cline{3-5}
 
&$s_1$ 0.3 & 1.9 & {\it 0.72} & 1.368 & & \\
 
&$s_2$ 1.0 & 2.6 & {\it 0.09} & 0.234 & \makebox[6mm][c]{1.818} & \\
 
&$s_3$ 0.8 & 2.4 & {\it 0.09} & 0.216 & & \\ \cline{3-6}
 
&$s_1$ 0.3 & 2.3 & {\it 0.0}  & 0    & & \\
 
&$s_2$ 1.0 & 3.0 & {\it 0.0}  & 0    & \makebox[6mm][l]{\bf 0} & \\
 
&$s_3$ 0.8 & 2.8 & {\it 0.0}  & 0    & & \\ \cline{3-5}
 
&$s_1$ 0.3 & 1.9 & {\it 0.0}  & 0    & & \\
 
&$s_2$ 1.0 & 2.6 & {\it 0.0}  & 0    & \makebox[6mm][l]{\bf 0} & \\
 
&$s_3$ 0.8 & 2.4 & {\it 0.0}  & 0    & & \\ \hline
 
\end{tabular}
 
\end{center}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Figure 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\vspace*{-228mm}\hspace*{6mm}
 
\setlength{\unitlength}{0.001in}
 
%\setlength{\unitlength}{0.0001in}
 
\begin{picture}(2300,5750)(0,-2700)
 
\special{pn 8}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_2) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 492.4}%
 
%\special{pa 2270 340}%
 
%\special{fp}%
 
%\special{pa 1600 492.4}%
 
%\special{pa 2270 492.4}%
 
%\special{fp}%
 
%\special{pa 1600 492.4}%
 
%\special{pa 2270 644.8}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 949.6}%
 
%\special{pa 2270 797.2}%
 
%\special{fp}%
 
%\special{pa 1600 949.6}%
 
%\special{pa 2270 949.6}%
 
%\special{fp}%
 
%\special{pa 1600 949.6}%
 
%\special{pa 2270 1102}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 1406.8}%
 
%\special{pa 2270 1254.4}%
 
%\special{fp}%
 
%\special{pa 1600 1406.8}%
 
%\special{pa 2270 1406.8}%
 
%\special{fp}%
 
%\special{pa 1600 1406.8}%
 
%\special{pa 2270 1559.2}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 1864}%
 
%\special{pa 2270 1711.6}%
 
%\special{fp}%
 
%\special{pa 1600 1864}%
 
%\special{pa 2270 1864}%
 
%\special{fp}%
 
%\special{pa 1600 1864}%
 
%\special{pa 2270 2016.4}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 2321.2}%
 
%\special{pa 2270 2168.8}%
 
%\special{fp}%
 
%\special{pa 1600 2321.2}%
 
%\special{pa 2270 2321.2}%
 
%\special{fp}%
 
%\special{pa 1600 2321.2}%
 
%\special{pa 2270 2473.6}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1600 2778.4}%
 
%\special{pa 2270 2626}%
 
%\special{fp}%
 
%\special{pa 1600 2778.4}%
 
%\special{pa 2270 2778.4}%
 
%\special{fp}%
 
%\special{pa 1600 2778.4}%
 
%\special{pa 2270 2930.8}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 3235.6}%
 
\special{pa 2270 3083.2}%
 
\special{fp}%
 
\special{pa 1600 3235.6}%
 
\special{pa 2270 3235.6}%
 
\special{fp}%
 
\special{pa 1600 3235.6}%
 
\special{pa 2270 3388}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 3692.8}%
 
\special{pa 2270 3540.4}%
 
\special{fp}%
 
\special{pa 1600 3692.8}%
 
\special{pa 2270 3692.8}%
 
\special{fp}%
 
\special{pa 1600 3692.8}%
 
\special{pa 2270 3845.2}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 4150}%
 
\special{pa 2270 3997.6}%
 
\special{fp}%
 
\special{pa 1600 4150}%
 
\special{pa 2270 4150}%
 
\special{fp}%
 
\special{pa 1600 4150}%
 
\special{pa 2270 4302.4}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 4607.2}%
 
\special{pa 2270 4454.8}%
 
\special{fp}%
 
\special{pa 1600 4607.2}%
 
\special{pa 2270 4607.2}%
 
\special{fp}%
 
\special{pa 1600 4607.2}%
 
\special{pa 2270 4759.6}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 5064.4}%
 
\special{pa 2270 4912}%
 
\special{fp}%
 
\special{pa 1600 5064.4}%
 
\special{pa 2270 5064.4}%
 
\special{fp}%
 
\special{pa 1600 5064.4}%
 
\special{pa 2270 5216.8}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1600 5521.6}%
 
\special{pa 2270 5369.2}%
 
\special{fp}%
 
\special{pa 1600 5521.6}%
 
\special{pa 2270 5521.6}%
 
\special{fp}%
 
\special{pa 1600 5521.6}%
 
\special{pa 2270 5674}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1000 721}%
 
%\special{pa 1600 492.4}%
 
%\special{da 0.05}%
 
%\special{pa 1000 721}%
 
%\special{pa 1600 949.6}%
 
%\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1000 1635.4}%
 
%\special{pa 1600 1406.8}%
 
%\special{da 0.05}%
 
%\special{pa 1000 1635.4}%
 
%\special{pa 1600 1864}%
 
%\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 1000 2549.8}%
 
%\special{pa 1600 2321.2}%
 
%\special{da 0.05}%
 
%\special{pa 1000 2549.8}%
 
%\special{pa 1600 2778.4}%
 
%\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1000 3464.2}%
 
\special{pa 1600 3235.6}%
 
\special{da 0.05}%
 
\special{pa 1000 3464.2}%
 
\special{pa 1600 3692.8}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1000 4378.6}%
 
\special{pa 1600 4150}%
 
\special{fp}%
 
\special{pa 1000 4378.6}%
 
\special{pa 1600 4607.2}%
 
\special{da 0.05}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 1000 5293}%
 
\special{pa 1600 5064.4}%
 
\special{fp}%
 
\special{pa 1000 5293}%
 
\special{pa 1600 5521.6}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% p(x_1) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 500 1635.4}%
 
%\special{pa 1000 721}%
 
%\special{fp}%
 
%\special{pa 500 1635.4}%
 
%\special{pa 1000 1635.4}%
 
%\special{fp}%
 
%\special{pa 500 1635.4}%
 
%\special{pa 1000 2549.8}%
 
%\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\special{pa 500 4378.6}%
 
\special{pa 1000 3464.2}%
 
\special{fp}%
 
\special{pa 500 4378.6}%
 
\special{pa 1000 4378.6}%
 
\special{fp}%
 
\special{pa 500 4378.6}%
 
\special{pa 1000 5293}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% u_0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\special{pa 180 3007}%
 
%\special{pa 500 1635.4}%
 
%\special{da 0.05}%
 
\special{pa 180 3007}%
 
\special{pa 500 4378.6}%
 
\special{fp}%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%% Nota. & Nume. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
\put(300,-3067){\makebox(0,0){$s_1$}}
 
%\put(1000,-621){\makebox(0,0){$s_1$}}
 
%\put(1000,-1735.4){\makebox(0,0){$s_2$}}
 
%\put(1000,-2649.8){\makebox(0,0){$s_3$}}
 
\put(1000,-3344.2){\makebox(0,0){$s_1$}}
 
\put(1000,-4458.6){\makebox(0,0){$s_2$}}
 
\put(1000,-5373){\makebox(0,0){$s_3$}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\put(400,-2507){\makebox(0,0){$a_1$}}
 
\put(400,-3507){\makebox(0,0){$a_2$}}
 
%\put(1400,-644.8){\makebox(0,0){$a_1$}}
 
%\put(1400,-949.6){\makebox(0,0){$a_2$}}
 
%\put(1400,-1559.2){\makebox(0,0){$a_1$}}
 
%\put(1400,-1864){\makebox(0,0){$a_2$}}
 
%\put(1400,-2473.6){\makebox(0,0){$a_1$}}
 
%\put(1400,-2778.4){\makebox(0,0){$a_2$}}
 
\put(1400,-3368){\makebox(0,0){$a_1$}}
 
\put(1400,-3672.8){\makebox(0,0){$a_2$}}
 
\put(1400,-4282.4){\makebox(0,0){$a_1$}}
 
\put(1400,-4587.2){\makebox(0,0){$a_2$}}
 
\put(1400,-5196.8){\makebox(0,0){$a_1$}}
 
\put(1400,-5501.6){\makebox(0,0){$a_2$}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\put(200,-2407){\makebox(0,0){\small 0.7}}
 
\put(200,-3607){\makebox(0,0){\small 1.0}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\put(700,-1021){\makebox(0,0){\small\it 0.8}}
 
%\put(800,-1535.4){\makebox(0,0){\small\it 0.1}}
 
%\put(700,-2249.8){\makebox(0,0){\small\it 0.1}}
 
\put(700,-3744.2){\makebox(0,0){\small\it 0.1}}
 
\put(800,-4258.6){\makebox(0,0){\small\it 0.9}}
 
\put(700,-4973){\makebox(0,0){\small\it 0.0}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\put(1200,-542.4){\makebox(0,0){\small 1.0}}
 
%\put(1300,-749.6){\makebox(0,0){\small 0.6}}
 
%\put(1200,-1456.8){\makebox(0,0){\small 1.0}}
 
%\put(1300,-1664){\makebox(0,0){\small 0.6}}
 
%\put(1200,-2371.2){\makebox(0,0){\small 1.0}}
 
%\put(1300,-2578.4){\makebox(0,0){\small 0.6}}
 
\put(1200,-3265.6){\makebox(0,0){\small 1.0}}
 
\put(1300,-3472.8){\makebox(0,0){\small 0.6}}
 
\put(1200,-4180){\makebox(0,0){\small 1.0}}
 
\put(1300,-4387.2){\makebox(0,0){\small 0.6}}
 
\put(1200,-5094.4){\makebox(0,0){\small 1.0}}
 
\put(1300,-5301.6){\makebox(0,0){\small 0.6}}
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%\put(1900,-340){\makebox(0,0){\small\it 0.8}}
 
%\put(2100,-432.4){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-542.4){\makebox(0,0){\small\it 0.1}}
 
%\put(1900,-797.2){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-889.6){\makebox(0,0){\small\it 0.9}}
 
%\put(2100,-999.6){\makebox(0,0){\small\it 0.0}}
 
%\put(1900,-1244.4){\makebox(0,0){\small\it 0.0}}
 
%\put(2100,-1336.8){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-1446.8){\makebox(0,0){\small\it 0.9}}
 
%\put(1900,-1701.6){\makebox(0,0){\small\it 0.8}}
 
%\put(2100,-1794){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-1904){\makebox(0,0){\small\it 0.1}}
 
%\put(1900,-2153.8){\makebox(0,0){\small\it 0.8}}
 
%\put(2100,-2246.2){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-2356.2){\makebox(0,0){\small\it 0.1}}
 
%\put(1900,-2626){\makebox(0,0){\small\it 0.1}}
 
%\put(2100,-2703.4){\makebox(0,0){\small\it 0.0}}
 
%\put(2100,-2813.4){\makebox(0,0){\small\it 0.9}}
 
\put(1900,-3063.2){\makebox(0,0){\small\it 0.8}}
 
\put(2100,-3155.6){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-3265.6){\makebox(0,0){\small\it 0.1}}
 
\put(1900,-3525.4){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-3607.8){\makebox(0,0){\small\it 0.9}}
 
\put(2100,-3717.8){\makebox(0,0){\small\it 0.0}}
 
\put(1900,-3972.6){\makebox(0,0){\small\it 0.0}}
 
\put(2100,-4065){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-4175){\makebox(0,0){\small\it 0.9}}
 
\put(1900,-4424.8){\makebox(0,0){\small\it 0.8}}
 
\put(2100,-4517.2){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-4627.2){\makebox(0,0){\small\it 0.1}}
 
\put(1900,-4882){\makebox(0,0){\small\it 0.8}}
 
\put(2100,-4974.4){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-5084.4){\makebox(0,0){\small\it 0.1}}
 
\put(1900,-5339.2){\makebox(0,0){\small\it 0.1}}
 
\put(2100,-5431.6){\makebox(0,0){\small\it 0.0}}
 
\put(2100,-5541.6){\makebox(0,0){\small\it 0.9}}
 
\end{picture}
 
\end{table}
 
\clearpage
 
%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%
 
%
 
\begin{center}
 
\begin{tabular}{cccc}
 
    $u_t=a_1$ & \hspace{30mm} &[[利用者:122.17.2.240|122.17.2.240]] 2007年7月12日 (木) 11:48 (JST)& $u_t=a_2$ \\
 
      \cline{1-1}\cline{4-4}
 
\end{tabular}
 
\end{center}
 
\begin{center}
 
\begin{tabular}{ccccccccc}
 
      \cline{1-4}\cline{6-9}
 
  \multicolumn{1}{r|}{$x_t\x_{t+1}$} & $s_1$ & $s_2$ & $s_3$ &
 
2007年7月12日 (木) 11:48 (JST)[[利用者:122.17.2.240|122.17.2.240]] 2007年7月12日 (木) 11:48 (JST)& \multicolumn{1}{r|}{$x_t\x_{t+1}$} & $s_1$ & $s_2$ & $s_3$ \\
 
  \cline{1-4}\cline{6-9} \\
 
  \noalign{\vskip-4.3mm}
 
\multicolumn{1}{c|}{$s_1$} & {\it 0.8} & {\it 0.1} & {\it 0.1} & &
 
\multicolumn{1}{c|}{$s_1$} & {\it 0.1} & {\it 0.9} & {\it 0.0} \\
 
\multicolumn{1}{c|}{$s_2$} & {\it 0.0} & {\it 0.1} & {\it 0.9} & &
 
\multicolumn{1}{c|}{$s_2$} & {\it 0.8} & {\it 0.1} & {\it 0.1} \\
 
\multicolumn{1}{c|}{$s_3$} & {\it 0.8} & {\it 0.1} & {\it 0.1} & &
 
\multicolumn{1}{c|}{$s_3$} & {\it 0.1} & {\it 0.0} & {\it 0.9} \\
 
  \cline{1-4}\cline{6-9}
 
\end{tabular}
 
\end{center}
 
 
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 
 
 
 
== 不変埋没原理 (0054-a-e-04-1) ==
 
 
 
\begin{eqnarray}
 
{\rm S}_{1}(x_{1}):\hspace{-2.21mm}& & \sum
 
\hspace{0.3mm}\sum\hspace{0.3mm}\cdots\hspace{0.3mm}\sum
 
_{\hspace{-21.1mm}(x_{2}, x_{3}, \cdots , x_{N+1}) \in P_{1}(x_{1})}
 
\hspace{-1.9mm}\psi(g_{1}(x_{1},x_{2}) \circ \cdots \circ
 
g_{N}(x_{N},x_{N+1}) \circ k(x_{N+1}))\  \nonumber \\[2.34mm]
 
& & \hspace*{0.8mm}( P_{1}(x_{1}) := \{(x_{2}, \cdots , x_{N+1})\, |\,
 
x_{n+1} \in A_{n}(x_{n})~~1 \le n \le N \}) \nonumber
 
\end{eqnarray}
 
 
 
== 待ち行列 (0112-b-a-01-1) ==
 
 
 
\[
 
  \rho = \frac{サービス要求量}{サービス処理能力}
 
\]
 
 
 
 
 
 
 
== 戦略形ゲーム (0071-a-g-03-1) ==
 
 
 
\[ \begin{array}{@{\  }c|ccc@{\  }}
 
          & 1            & \ldots  & n                \\  \hline
 
      1    & a_{11}, b_{11}    & \ldots  & a_{1n}, b_{1n}    \\
 
    \vdots & \vdots            & \ddots  & \vdots          \\
 
      m    & a_{m1}, b_{m1}    & \ldots  & a_{mn}, b_{mn}
 
    \end{array}
 
    \]
 
 
 
 
 
 
 
== 戦略形ゲーム (0071-a-g-03-2) ==
 
 
 
\[ \begin{array}{@{\  }c|ccc@{\  }}
 
          & c      & d                \\  \hline
 
      c    & 3, 3    & 0, 4    \\
 
      d    & 4, 0    & 1, 1
 
    \end{array}
 
    \ \ \ \ \ \ \ \ \ \ \ \ \ \
 
    \begin{array}{@{\  }c|ccc@{\  }}
 
          & a      & b                \\  \hline
 
      a    & 2, 1    & 0, 0    \\
 
      b    & 0, 0    & 1, 2
 
    \end{array}
 
    \]
 
 
 
 
 
 
 
== ゲームの解の計算 (0079-a-g-11-1) ==
 
 
 
\[
 
\begin{array}{c|ccc}
 
          & 1            & \ldots  & n                      \\ \hline
 
1        &  a_{11}    & \ldots  & a_{1n}  \\
 
\vdots &  \vdots    & \ddots  & \vdots            \\
 
m        &  a_{m1}  & \ldots  & a_{mn}
 
\end{array}
 
\]
 
 
 
 
 
 
 
== ゲームの解の計算 (0079-a-g-11-2) ==
 
 
 
\[ \begin{array}{c|cc}
 
      &  1  &  2 \\  \hline
 
    1  &  a_{11}, b_{11}  &  a_{12}, b_{12} \\
 
    2  &  a_{21}, b_{21}  & a_{22}, b_{22} \\
 
\end{array} \]
 

2007年8月6日 (月) 11:32時点における最新版