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authoro_ggy <yasutomo@ubuntu.(none)>
Wed, 21 Jul 2010 19:41:26 +0000 (12:41 -0700)
committertomohiro yasutomo <yasutomo@ubuntu.(none)>
Wed, 21 Jul 2010 19:41:26 +0000 (12:41 -0700)
41 files changed:
latex/7_8/.ps.pdf [deleted file]
latex/7_8/2010-6-16-Yasuda.pdf [deleted file]
latex/7_8/Makefile [deleted file]
latex/7_8/beamerthemeKeynoteLikeGradient.sty [deleted file]
latex/7_8/mathvec.sty [deleted file]
latex/7_8/presen..pdf [deleted file]
latex/7_8/presen.aux [deleted file]
latex/7_8/presen.dvi [deleted file]
latex/7_8/presen.log [deleted file]
latex/7_8/presen.nav [deleted file]
latex/7_8/presen.out [deleted file]
latex/7_8/presen.pdf [deleted file]
latex/7_8/presen.ps [deleted file]
latex/7_8/presen.snm [deleted file]
latex/7_8/presen.tex [deleted file]
latex/7_8/presen.tex~ [deleted file]
latex/7_8/presen.toc [deleted file]
latex/7_8/presen_yasuda.pdf [deleted file]
latex/M2/siryou/3/Makefile [new file with mode: 0644]
latex/M2/siryou/3/image/camera1.eps [new file with mode: 0755]
latex/M2/siryou/3/image/camera2.eps [new file with mode: 0755]
latex/M2/siryou/3/image/fig1.eps [moved from latex/7_8/image/dp.eps with 62% similarity]
latex/M2/siryou/3/image/fig2.eps [new file with mode: 0644]
latex/M2/siryou/3/image/fig3.eps [new file with mode: 0644]
latex/M2/siryou/3/image/fig4.eps [new file with mode: 0644]
latex/M2/siryou/3/image/fig5.eps [new file with mode: 0644]
latex/M2/siryou/3/image/fig6.eps [new file with mode: 0644]
latex/M2/siryou/3/image/fig7.eps [new file with mode: 0644]
latex/M2/siryou/3/image/fig_7.eps [new file with mode: 0644]
latex/M2/siryou/3/image/null.eps [new file with mode: 0644]
latex/M2/siryou/3/image/proj.eps [moved from latex/7_8/image/conic.eps with 67% similarity]
latex/M2/siryou/3/image/view.eps [new file with mode: 0644]
latex/M2/siryou/3/jlisting.sty [new file with mode: 0644]
latex/M2/siryou/3/main.aux [new file with mode: 0644]
latex/M2/siryou/3/main.dvi [new file with mode: 0644]
latex/M2/siryou/3/main.log [new file with mode: 0644]
latex/M2/siryou/3/main.ps [new file with mode: 0644]
latex/M2/siryou/3/main.tex [new file with mode: 0644]
latex/M2/siryou/3/main.toc [new file with mode: 0644]
latex/M2/siryou/3/settings.aux [new file with mode: 0644]
latex/M2/siryou/3/settings.tex [new file with mode: 0644]

diff --git a/latex/7_8/.ps.pdf b/latex/7_8/.ps.pdf
deleted file mode 100644 (file)
index 68a41a8..0000000
Binary files a/latex/7_8/.ps.pdf and /dev/null differ
diff --git a/latex/7_8/2010-6-16-Yasuda.pdf b/latex/7_8/2010-6-16-Yasuda.pdf
deleted file mode 100644 (file)
index b416e37..0000000
Binary files a/latex/7_8/2010-6-16-Yasuda.pdf and /dev/null differ
diff --git a/latex/7_8/Makefile b/latex/7_8/Makefile
deleted file mode 100644 (file)
index 9d94ff6..0000000
+++ /dev/null
@@ -1,21 +0,0 @@
-
-all : image4presen presen.pdf 
-
-print : image4print presen.pdf 
-
-
-presen.pdf : presen.tex
-       platex presen.tex
-       dvips presen.dvi
-       ps2pdf presen.ps
-       xpdf presen.pdf
-
-image4presen : 
-       tgif -print -eps -color image/dp.obj
-       tgif -print -eps -color image/conic.obj
-
-
-image4print : 
-       tgif -print -eps image/dp.obj
-       tgif -print -eps image/conic
-
diff --git a/latex/7_8/beamerthemeKeynoteLikeGradient.sty b/latex/7_8/beamerthemeKeynoteLikeGradient.sty
deleted file mode 100644 (file)
index 09dd5e2..0000000
+++ /dev/null
@@ -1,73 +0,0 @@
-% beamerthemeKeynoteLikeGradient.sty
-
-\newif\ifbeamer@footauthor
-\newif\ifbeamer@foottitle
-\newif\ifbeamer@footnumber
-\DeclareOptionBeamer{footauthor}{\beamer@footauthortrue}
-\DeclareOptionBeamer{foottitle}{\beamer@foottitletrue}
-\DeclareOptionBeamer{footnumber}{\beamer@footnumbertrue}
-\ProcessOptionsBeamer
-
-\setbeamersize{text margin left=1.5em, text margin right=1.5em}
-
-% fonts
-\setbeamerfont{title}{size=\Huge}
-\setbeamerfont{subtitle}{size=\LARGE}
-\setbeamerfont{author}{size=\Large}
-\setbeamerfont{institute}{size=\normalsize}
-\setbeamerfont{frametitle}{size=\huge}
-
-% colors
-\definecolor{middlecolor}{rgb}{0.0588,0.054901,0.12941}
-\definecolor{bottomcolor}{rgb}{0.31764,0.31764,0.384313}
-\definecolor{examplegreen}{rgb}{0.419607,0.60,0.470588}
-\setbeamercolor{title}{fg=white}
-\setbeamercolor{normal text}{fg=white}
-\setbeamercolor{frametitle}{fg=white}
-\setbeamercolor{structure}{fg=white}
-\setbeamercolor{math text}{fg=white}
-\setbeamercolor{separation line}{fg=red}
-
-% templates
-\setbeamertemplate{items}[circle]
-\setbeamertemplate{enumerate items}[default]
-\setbeamertemplate{navigation symbols}{}
-\setbeamertemplate{background canvas}[vertical shading][top=black, middle=middlecolor, bottom=bottomcolor, midpoint=0.5]
-\setbeamertemplate{headline}[default]
-\setbeamertemplate{frametitle}{
-  \begin{center}
-    \insertframetitle ~{\normalsize \insertframesubtitle}\par
-  \end{center}
-}
-\setbeamertemplate{block begin}{
-  \underline{\insertblocktitle}\par
-}
-\setbeamertemplate{block end}{}
-\setbeamertemplate{block alerted begin}{
-  {\color{red}\underline{\insertblocktitle}}\par
-  \setbeamercolor{item}{fg=white}
-}
-\setbeamertemplate{block alerted end}{}
-\setbeamertemplate{block example begin}{
-  {\color{examplegreen}\underline{\insertblocktitle}}\par
-  \setbeamercolor{item}{fg=white}
-}
-\setbeamertemplate{block example end}{}
-
-% footline style
-\defbeamertemplate*{footline}{KeynoteLikeGradation}{
-  \setbeamercolor{footlinecolor}{fg=white}
-  \hbox{
-  \begin{beamercolorbox}[wd=0.326\hsize, ht=2.25ex, dp=1ex, left]{fg=white}
-    \ifbeamer@footauthor\insertshortauthor(\insertshortinstitute)\fi
-  \end{beamercolorbox}
-    
-  \begin{beamercolorbox}[wd=0.326\hsize, ht=2.25ex, dp=1ex, center]{fg=white}
-    \ifbeamer@foottitle\insertshorttitle\fi
-  \end{beamercolorbox}
-  
-  \begin{beamercolorbox}[wd=0.326\hsize, ht=2.25ex, dp=1ex, right]{fg=white}
-    \ifbeamer@footnumber\insertframenumber{} of \inserttotalframenumber{}\fi
-  \end{beamercolorbox}
-  }
-}
diff --git a/latex/7_8/mathvec.sty b/latex/7_8/mathvec.sty
deleted file mode 100644 (file)
index cf54c9a..0000000
+++ /dev/null
@@ -1,3579 +0,0 @@
-%
-%      mathvec.sty
-%              Àþ·ÁÂå¿ô¤Ë¤ª¤¤¤ÆÉѽФ¹¤ëµ­¹æ¤ò¥³¥Þ¥ó¥É¤È¤·¤ÆÄêµÁ¤·¤¿¥¹¥¿¥¤¥ë¥Õ¥¡¥¤¥ë
-%              Created by: y-nakano@img.tutkie.tut.ac.jp
-%              Modified by: iihoshi@img.tutkie.tut.ac.jp (2007/02/26)
-%              Modified by: y-nakano@img.tutkie.tut.ac.jp (2007/03/12)
-%
-
-% amsmath ¥Ñ¥Ã¥±¡¼¥¸»ÈÍÑ»þ¤Ï \mbox{} ¤ÎÂå¤ï¤ê¤Ë \text{} ¤ò»ÈÍѤ¹¤ë¡¥
-\newif\ifamsmath
-\@ifpackageloaded{amsmath}{\amsmathtrue}{\amsmathfalse}
-\newcommand{\mymbox}[1]{\ifamsmath\text{#1}\else\mbox{#1}\fi}
-
-% ¥Ü¡¼¥ë¥É + ¥¤¥¿¥ê¥Ã¥¯
-\newcommand{\mathbfit}[1]{\mymbox{\boldmath{$\mathit{#1}$}}}
-
-% ¥Ù¥¯¥È¥ë [[[
-\newcommand{\myvector}[1]{\mathbfit{#1}}       % vec, vector ¤ÏÄêµÁºÑ¤ß
-\newcommand{\va}{\myvector{a}}
-\newcommand{\vb}{\myvector{b}}
-\newcommand{\vc}{\myvector{c}}
-\newcommand{\vd}{\myvector{d}}
-\newcommand{\ve}{\myvector{e}}
-\newcommand{\vf}{\myvector{f}}
-\newcommand{\vg}{\myvector{g}}
-\newcommand{\vh}{\myvector{h}}
-\newcommand{\vi}{\myvector{i}}
-\newcommand{\vj}{\myvector{j}}
-\newcommand{\vk}{\myvector{k}}
-\newcommand{\vl}{\myvector{l}}
-\newcommand{\vm}{\myvector{m}}
-\newcommand{\vn}{\myvector{n}}
-\newcommand{\vo}{\myvector{o}}
-\newcommand{\vp}{\myvector{p}}
-\newcommand{\vq}{\myvector{q}}
-\newcommand{\vr}{\myvector{r}}
-\newcommand{\vs}{\myvector{s}}
-\newcommand{\vt}{\myvector{t}}
-\newcommand{\vu}{\myvector{u}}
-\newcommand{\vv}{\myvector{v}}
-\newcommand{\vw}{\myvector{w}}
-\newcommand{\vx}{\myvector{x}}
-\newcommand{\vy}{\myvector{y}}
-\newcommand{\vz}{\myvector{z}}
-\newcommand{\vlambda}{\myvector{\lambda}}
-\newcommand{\vOmega}{\myvector{\Omega}}
-\newcommand{\veps}{\myvector{\varepsilon}}
-\newcommand{\vZERO}{\mymbox{\boldmath{$0$}}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥×¥é¥¤¥à (p) [[[
-\newcommand{\vecprime}[1]{\myvector{#1}'}
-\newcommand{\vap}{\vecprime{a}}
-\newcommand{\vbp}{\vecprime{b}}
-\newcommand{\vcp}{\vecprime{c}}
-\newcommand{\vdp}{\vecprime{d}}
-\newcommand{\vep}{\vecprime{e}}
-\newcommand{\vfp}{\vecprime{f}}
-\newcommand{\vgp}{\vecprime{g}}
-\newcommand{\vhp}{\vecprime{h}}
-\newcommand{\vip}{\vecprime{i}}
-\newcommand{\vjp}{\vecprime{j}}
-\newcommand{\vkp}{\vecprime{k}}
-\newcommand{\vlp}{\vecprime{l}}
-\newcommand{\vmp}{\vecprime{m}}
-\newcommand{\vnp}{\vecprime{n}}
-\newcommand{\vop}{\vecprime{o}}
-\newcommand{\vpp}{\vecprime{p}}
-\newcommand{\vqp}{\vecprime{q}}
-\newcommand{\vrp}{\vecprime{r}}
-\newcommand{\vsp}{\vecprime{s}}
-\newcommand{\vtp}{\vecprime{t}}
-\newcommand{\vup}{\vecprime{u}}
-\newcommand{\vvp}{\vecprime{v}}
-\newcommand{\vwp}{\vecprime{w}}
-\newcommand{\vxp}{\vecprime{x}}
-\newcommand{\vyp}{\vecprime{y}}
-\newcommand{\vzp}{\vecprime{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + 2½Å¥×¥é¥¤¥à (pp) [[[
-\newcommand{\vecprimeprime}[1]{\myvector{#1}''}
-\newcommand{\vapp}{\vecprimeprime{a}}
-\newcommand{\vbpp}{\vecprimeprime{b}}
-\newcommand{\vcpp}{\vecprimeprime{c}}
-\newcommand{\vdpp}{\vecprimeprime{d}}
-\newcommand{\vepp}{\vecprimeprime{e}}
-\newcommand{\vfpp}{\vecprimeprime{f}}
-\newcommand{\vgpp}{\vecprimeprime{g}}
-\newcommand{\vhpp}{\vecprimeprime{h}}
-\newcommand{\vipp}{\vecprimeprime{i}}
-\newcommand{\vjpp}{\vecprimeprime{j}}
-\newcommand{\vkpp}{\vecprimeprime{k}}
-\newcommand{\vlpp}{\vecprimeprime{l}}
-\newcommand{\vmpp}{\vecprimeprime{m}}
-\newcommand{\vnpp}{\vecprimeprime{n}}
-\newcommand{\vopp}{\vecprimeprime{o}}
-\newcommand{\vppp}{\vecprimeprime{p}}
-\newcommand{\vqpp}{\vecprimeprime{q}}
-\newcommand{\vrpp}{\vecprimeprime{r}}
-\newcommand{\vspp}{\vecprimeprime{s}}
-\newcommand{\vtpp}{\vecprimeprime{t}}
-\newcommand{\vupp}{\vecprimeprime{u}}
-\newcommand{\vvpp}{\vecprimeprime{v}}
-\newcommand{\vwpp}{\vecprimeprime{w}}
-\newcommand{\vxpp}{\vecprimeprime{x}}
-\newcommand{\vypp}{\vecprimeprime{y}}
-\newcommand{\vzpp}{\vecprimeprime{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥Ï¥Ã¥È (h) [[[
-\newcommand{\vechat}[1]{\hat{\myvector{#1}}}
-\newcommand{\vah}{\vechat{a}}
-\newcommand{\vbh}{\vechat{b}}
-\newcommand{\vch}{\vechat{c}}
-\newcommand{\vdh}{\vechat{d}}
-\newcommand{\veh}{\vechat{e}}
-\newcommand{\vfh}{\vechat{f}}
-\newcommand{\vgh}{\vechat{g}}
-\newcommand{\vhh}{\vechat{h}}
-\newcommand{\vih}{\vechat{i}}
-\newcommand{\vjh}{\vechat{j}}
-\newcommand{\vkh}{\vechat{k}}
-\newcommand{\vlh}{\vechat{l}}
-\newcommand{\vmh}{\vechat{m}}
-\newcommand{\vnh}{\vechat{n}}
-\newcommand{\voh}{\vechat{o}}
-\newcommand{\vph}{\vechat{p}}
-\newcommand{\vqh}{\vechat{q}}
-\newcommand{\vrh}{\vechat{r}}
-\newcommand{\vsh}{\vechat{s}}
-\newcommand{\vth}{\vechat{t}}
-\newcommand{\vuh}{\vechat{u}}
-\newcommand{\vvh}{\vechat{v}}
-\newcommand{\vwh}{\vechat{w}}
-\newcommand{\vxh}{\vechat{x}}
-\newcommand{\vyh}{\vechat{y}}
-\newcommand{\vzh}{\vechat{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥Ï¥Ã¥È + ¥×¥é¥¤¥à (hp) [[[
-\newcommand{\vechatprime}[1]{\vechat{#1}'}
-\newcommand{\vahp}{\vechatprime{a}}
-\newcommand{\vbhp}{\vechatprime{b}}
-\newcommand{\vchp}{\vechatprime{c}}
-\newcommand{\vdhp}{\vechatprime{d}}
-\newcommand{\vehp}{\vechatprime{e}}
-\newcommand{\vfhp}{\vechatprime{f}}
-\newcommand{\vghp}{\vechatprime{g}}
-\newcommand{\vhhp}{\vechatprime{h}}
-\newcommand{\vihp}{\vechatprime{i}}
-\newcommand{\vjhp}{\vechatprime{j}}
-\newcommand{\vkhp}{\vechatprime{k}}
-\newcommand{\vlhp}{\vechatprime{l}}
-\newcommand{\vmhp}{\vechatprime{m}}
-\newcommand{\vnhp}{\vechatprime{n}}
-\newcommand{\vohp}{\vechatprime{o}}
-\newcommand{\vphp}{\vechatprime{p}}
-\newcommand{\vqhp}{\vechatprime{q}}
-\newcommand{\vrhp}{\vechatprime{r}}
-\newcommand{\vshp}{\vechatprime{s}}
-\newcommand{\vthp}{\vechatprime{t}}
-\newcommand{\vuhp}{\vechatprime{u}}
-\newcommand{\vvhp}{\vechatprime{v}}
-\newcommand{\vwhp}{\vechatprime{w}}
-\newcommand{\vxhp}{\vechatprime{x}}
-\newcommand{\vyhp}{\vechatprime{y}}
-\newcommand{\vzhp}{\vechatprime{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥Ð¡¼ (bar) [[[
-\newcommand{\vecbar}[1]{\bar{\myvector{#1}}}
-\newcommand{\vabar}{\vecbar{a}}
-\newcommand{\vbbar}{\vecbar{b}}
-\newcommand{\vcbar}{\vecbar{c}}
-\newcommand{\vdbar}{\vecbar{d}}
-\newcommand{\vebar}{\vecbar{e}}
-\newcommand{\vfbar}{\vecbar{f}}
-\newcommand{\vgbar}{\vecbar{g}}
-\newcommand{\vhbar}{\vecbar{h}}
-\newcommand{\vibar}{\vecbar{i}}
-\newcommand{\vjbar}{\vecbar{j}}
-\newcommand{\vkbar}{\vecbar{k}}
-\newcommand{\vlbar}{\vecbar{l}}
-\newcommand{\vmbar}{\vecbar{m}}
-\newcommand{\vnbar}{\vecbar{n}}
-\newcommand{\vobar}{\vecbar{o}}
-\newcommand{\vpbar}{\vecbar{p}}
-\newcommand{\vqbar}{\vecbar{q}}
-\newcommand{\vrbar}{\vecbar{r}}
-\newcommand{\vsbar}{\vecbar{s}}
-\newcommand{\vtbar}{\vecbar{t}}
-\newcommand{\vubar}{\vecbar{u}}
-\newcommand{\vvbar}{\vecbar{v}}
-\newcommand{\vwbar}{\vecbar{w}}
-\newcommand{\vxbar}{\vecbar{x}}
-\newcommand{\vybar}{\vecbar{y}}
-\newcommand{\vzbar}{\vecbar{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥×¥é¥¤¥à + ¥Ð¡¼ (pbar) [[[
-\newcommand{\vecbarprime}[1]{\vecbar{#1}'}
-\newcommand{\vapbar}{\vecbarprime{a}}
-\newcommand{\vbpbar}{\vecbarprime{b}}
-\newcommand{\vcpbar}{\vecbarprime{c}}
-\newcommand{\vdpbar}{\vecbarprime{d}}
-\newcommand{\vepbar}{\vecbarprime{e}}
-\newcommand{\vfpbar}{\vecbarprime{f}}
-\newcommand{\vgpbar}{\vecbarprime{g}}
-\newcommand{\vhpbar}{\vecbarprime{h}}
-\newcommand{\vipbar}{\vecbarprime{i}}
-\newcommand{\vjpbar}{\vecbarprime{j}}
-\newcommand{\vkpbar}{\vecbarprime{k}}
-\newcommand{\vlpbar}{\vecbarprime{l}}
-\newcommand{\vmpbar}{\vecbarprime{m}}
-\newcommand{\vnpbar}{\vecbarprime{n}}
-\newcommand{\vopbar}{\vecbarprime{o}}
-\newcommand{\vppbar}{\vecbarprime{p}}
-\newcommand{\vqpbar}{\vecbarprime{q}}
-\newcommand{\vrpbar}{\vecbarprime{r}}
-\newcommand{\vspbar}{\vecbarprime{s}}
-\newcommand{\vtpbar}{\vecbarprime{t}}
-\newcommand{\vupbar}{\vecbarprime{u}}
-\newcommand{\vvpbar}{\vecbarprime{v}}
-\newcommand{\vwpbar}{\vecbarprime{w}}
-\newcommand{\vxpbar}{\vecbarprime{x}}
-\newcommand{\vypbar}{\vecbarprime{y}}
-\newcommand{\vzpbar}{\vecbarprime{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥Á¥ë¥À (tilde) [[[
-\newcommand{\vectilde}[1]{\tilde{\myvector{#1}}}
-\newcommand{\vatilde}{\vectilde{a}}
-\newcommand{\vbtilde}{\vectilde{b}}
-\newcommand{\vctilde}{\vectilde{c}}
-\newcommand{\vdtilde}{\vectilde{d}}
-\newcommand{\vetilde}{\vectilde{e}}
-\newcommand{\vftilde}{\vectilde{f}}
-\newcommand{\vgtilde}{\vectilde{g}}
-\newcommand{\vhtilde}{\vectilde{h}}
-\newcommand{\vitilde}{\vectilde{i}}
-\newcommand{\vjtilde}{\vectilde{j}}
-\newcommand{\vktilde}{\vectilde{k}}
-\newcommand{\vltilde}{\vectilde{l}}
-\newcommand{\vmtilde}{\vectilde{m}}
-\newcommand{\vntilde}{\vectilde{n}}
-\newcommand{\votilde}{\vectilde{o}}
-\newcommand{\vptilde}{\vectilde{p}}
-\newcommand{\vqtilde}{\vectilde{q}}
-\newcommand{\vrtilde}{\vectilde{r}}
-\newcommand{\vstilde}{\vectilde{s}}
-\newcommand{\vttilde}{\vectilde{t}}
-\newcommand{\vutilde}{\vectilde{u}}
-\newcommand{\vvtilde}{\vectilde{v}}
-\newcommand{\vwtilde}{\vectilde{w}}
-\newcommand{\vxtilde}{\vectilde{x}}
-\newcommand{\vytilde}{\vectilde{y}}
-\newcommand{\vztilde}{\vectilde{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ (X) [[[
-\newcommand{\vecindex}[2]{\myvector{#1}_{#2}}
-% "alpha" (aa) [[[
-\newcommand{\vaaa}{\vecindex{a}{\alpha}}
-\newcommand{\vbaa}{\vecindex{b}{\alpha}}
-\newcommand{\vcaa}{\vecindex{c}{\alpha}}
-\newcommand{\vdaa}{\vecindex{d}{\alpha}}
-\newcommand{\veaa}{\vecindex{e}{\alpha}}
-\newcommand{\vfaa}{\vecindex{f}{\alpha}}
-\newcommand{\vgaa}{\vecindex{g}{\alpha}}
-\newcommand{\vhaa}{\vecindex{h}{\alpha}}
-\newcommand{\viaa}{\vecindex{i}{\alpha}}
-\newcommand{\vjaa}{\vecindex{j}{\alpha}}
-\newcommand{\vkaa}{\vecindex{k}{\alpha}}
-\newcommand{\vlaa}{\vecindex{l}{\alpha}}
-\newcommand{\vmaa}{\vecindex{m}{\alpha}}
-\newcommand{\vnaa}{\vecindex{n}{\alpha}}
-\newcommand{\voaa}{\vecindex{o}{\alpha}}
-\newcommand{\vpaa}{\vecindex{p}{\alpha}}
-\newcommand{\vqaa}{\vecindex{q}{\alpha}}
-\newcommand{\vraa}{\vecindex{r}{\alpha}}
-\newcommand{\vsaa}{\vecindex{s}{\alpha}}
-\newcommand{\vtaa}{\vecindex{t}{\alpha}}
-\newcommand{\vuaa}{\vecindex{u}{\alpha}}
-\newcommand{\vvaa}{\vecindex{v}{\alpha}}
-\newcommand{\vwaa}{\vecindex{w}{\alpha}}
-\newcommand{\vxaa}{\vecindex{x}{\alpha}}
-\newcommand{\vyaa}{\vecindex{y}{\alpha}}
-\newcommand{\vzaa}{\vecindex{z}{\alpha}}
-% ]]]
-% "i" (i) [[[
-\newcommand{\vai}{\vecindex{a}{i}}
-\newcommand{\vbi}{\vecindex{b}{i}}
-\newcommand{\vci}{\vecindex{c}{i}}
-\newcommand{\vdi}{\vecindex{d}{i}}
-\newcommand{\vei}{\vecindex{e}{i}}
-\newcommand{\vfi}{\vecindex{f}{i}}
-\newcommand{\vgi}{\vecindex{g}{i}}
-\newcommand{\vhi}{\vecindex{h}{i}}
-\newcommand{\vii}{\vecindex{i}{i}}
-\newcommand{\vji}{\vecindex{j}{i}}
-\newcommand{\vki}{\vecindex{k}{i}}
-\newcommand{\vli}{\vecindex{l}{i}}
-\newcommand{\vmi}{\vecindex{m}{i}}
-\newcommand{\vni}{\vecindex{n}{i}}
-\newcommand{\voi}{\vecindex{o}{i}}
-\newcommand{\vpi}{\vecindex{p}{i}}
-\newcommand{\vqi}{\vecindex{q}{i}}
-\newcommand{\vri}{\vecindex{r}{i}}
-\newcommand{\vsi}{\vecindex{s}{i}}
-\newcommand{\vti}{\vecindex{t}{i}}
-\newcommand{\vui}{\vecindex{u}{i}}
-\newcommand{\vvi}{\vecindex{v}{i}}
-\newcommand{\vwi}{\vecindex{w}{i}}
-\newcommand{\vxi}{\vecindex{x}{i}}
-\newcommand{\vyi}{\vecindex{y}{i}}
-\newcommand{\vzi}{\vecindex{z}{i}}
-% ]]]
-% "j" (j) [[[
-\newcommand{\vaj}{\vecindex{a}{j}}
-\newcommand{\vbj}{\vecindex{b}{j}}
-\newcommand{\vcj}{\vecindex{c}{j}}
-\newcommand{\vdj}{\vecindex{d}{j}}
-\newcommand{\vej}{\vecindex{e}{j}}
-\newcommand{\vfj}{\vecindex{f}{j}}
-\newcommand{\vgj}{\vecindex{g}{j}}
-\newcommand{\vhj}{\vecindex{h}{j}}
-\newcommand{\vij}{\vecindex{i}{j}}
-\newcommand{\vjj}{\vecindex{j}{j}}
-\newcommand{\vkj}{\vecindex{k}{j}}
-\newcommand{\vlj}{\vecindex{l}{j}}
-\newcommand{\vmj}{\vecindex{m}{j}}
-\newcommand{\vnj}{\vecindex{n}{j}}
-\newcommand{\voj}{\vecindex{o}{j}}
-\newcommand{\vpj}{\vecindex{p}{j}}
-\newcommand{\vqj}{\vecindex{q}{j}}
-\newcommand{\vrj}{\vecindex{r}{j}}
-\newcommand{\vsj}{\vecindex{s}{j}}
-\newcommand{\vtj}{\vecindex{t}{j}}
-\newcommand{\vuj}{\vecindex{u}{j}}
-\newcommand{\vvj}{\vecindex{v}{j}}
-\newcommand{\vwj}{\vecindex{w}{j}}
-\newcommand{\vxj}{\vecindex{x}{j}}
-\newcommand{\vyj}{\vecindex{y}{j}}
-\newcommand{\vzj}{\vecindex{z}{j}}
-% ]]]
-% "n" (n) [[[
-\newcommand{\van}{\vecindex{a}{n}}
-\newcommand{\vbn}{\vecindex{b}{n}}
-\newcommand{\vcn}{\vecindex{c}{n}}
-\newcommand{\vdn}{\vecindex{d}{n}}
-\newcommand{\ven}{\vecindex{e}{n}}
-\newcommand{\vfn}{\vecindex{f}{n}}
-\newcommand{\vgn}{\vecindex{g}{n}}
-\newcommand{\vhn}{\vecindex{h}{n}}
-\newcommand{\vin}{\vecindex{i}{n}}
-\newcommand{\vjn}{\vecindex{j}{n}}
-\newcommand{\vkn}{\vecindex{k}{n}}
-\newcommand{\vln}{\vecindex{l}{n}}
-\newcommand{\vmn}{\vecindex{m}{n}}
-\newcommand{\vnn}{\vecindex{n}{n}}
-\newcommand{\von}{\vecindex{o}{n}}
-\newcommand{\vpn}{\vecindex{p}{n}}
-\newcommand{\vqn}{\vecindex{q}{n}}
-\newcommand{\vrn}{\vecindex{r}{n}}
-\newcommand{\vsn}{\vecindex{s}{n}}
-\newcommand{\vtn}{\vecindex{t}{n}}
-\newcommand{\vun}{\vecindex{u}{n}}
-\newcommand{\vvn}{\vecindex{v}{n}}
-\newcommand{\vwn}{\vecindex{w}{n}}
-\newcommand{\vxn}{\vecindex{x}{n}}
-\newcommand{\vyn}{\vecindex{y}{n}}
-\newcommand{\vzn}{\vecindex{z}{n}}
-% ]]]
-% "0" (z) [[[
-\newcommand{\vaz}{\vecindex{a}{0}}
-\newcommand{\vbz}{\vecindex{b}{0}}
-\newcommand{\vcz}{\vecindex{c}{0}}
-\newcommand{\vdz}{\vecindex{d}{0}}
-\newcommand{\vez}{\vecindex{e}{0}}
-\newcommand{\vfz}{\vecindex{f}{0}}
-\newcommand{\vgz}{\vecindex{g}{0}}
-\newcommand{\vhz}{\vecindex{h}{0}}
-\newcommand{\viz}{\vecindex{i}{0}}
-\newcommand{\vjz}{\vecindex{j}{0}}
-\newcommand{\vkz}{\vecindex{k}{0}}
-\newcommand{\vlz}{\vecindex{l}{0}}
-\newcommand{\vmz}{\vecindex{m}{0}}
-\newcommand{\vnz}{\vecindex{n}{0}}
-\newcommand{\voz}{\vecindex{o}{0}}
-\newcommand{\vpz}{\vecindex{p}{0}}
-\newcommand{\vqz}{\vecindex{q}{0}}
-\newcommand{\vrz}{\vecindex{r}{0}}
-\newcommand{\vsz}{\vecindex{s}{0}}
-\newcommand{\vtz}{\vecindex{t}{0}}
-\newcommand{\vuz}{\vecindex{u}{0}}
-\newcommand{\vvz}{\vecindex{v}{0}}
-\newcommand{\vwz}{\vecindex{w}{0}}
-\newcommand{\vxz}{\vecindex{x}{0}}
-\newcommand{\vyz}{\vecindex{y}{0}}
-\newcommand{\vzz}{\vecindex{z}{0}}
-% ]]]
-% "1" (a) [[[
-\newcommand{\vaa}{\vecindex{a}{1}}
-\newcommand{\vba}{\vecindex{b}{1}}
-\newcommand{\vca}{\vecindex{c}{1}}
-\newcommand{\vda}{\vecindex{d}{1}}
-\newcommand{\vea}{\vecindex{e}{1}}
-\newcommand{\vfa}{\vecindex{f}{1}}
-\newcommand{\vga}{\vecindex{g}{1}}
-\newcommand{\vha}{\vecindex{h}{1}}
-\newcommand{\via}{\vecindex{i}{1}}
-\newcommand{\vja}{\vecindex{j}{1}}
-\newcommand{\vka}{\vecindex{k}{1}}
-\newcommand{\vla}{\vecindex{l}{1}}
-\newcommand{\vma}{\vecindex{m}{1}}
-\newcommand{\vna}{\vecindex{n}{1}}
-\newcommand{\voa}{\vecindex{o}{1}}
-\newcommand{\vpa}{\vecindex{p}{1}}
-\newcommand{\vqa}{\vecindex{q}{1}}
-\newcommand{\vra}{\vecindex{r}{1}}
-\newcommand{\vsa}{\vecindex{s}{1}}
-\newcommand{\vta}{\vecindex{t}{1}}
-\newcommand{\vua}{\vecindex{u}{1}}
-\newcommand{\vva}{\vecindex{v}{1}}
-\newcommand{\vwa}{\vecindex{w}{1}}
-\newcommand{\vxa}{\vecindex{x}{1}}
-\newcommand{\vya}{\vecindex{y}{1}}
-\newcommand{\vza}{\vecindex{z}{1}}
-% ]]]
-% "2" (b) [[[
-\newcommand{\vab}{\vecindex{a}{2}}
-\newcommand{\vbb}{\vecindex{b}{2}}
-\newcommand{\vcb}{\vecindex{c}{2}}
-\newcommand{\vdb}{\vecindex{d}{2}}
-\newcommand{\veb}{\vecindex{e}{2}}
-\newcommand{\vfb}{\vecindex{f}{2}}
-\newcommand{\vgb}{\vecindex{g}{2}}
-\newcommand{\vhb}{\vecindex{h}{2}}
-\newcommand{\vib}{\vecindex{i}{2}}
-\newcommand{\vjb}{\vecindex{j}{2}}
-\newcommand{\vkb}{\vecindex{k}{2}}
-\newcommand{\vlb}{\vecindex{l}{2}}
-\newcommand{\vmb}{\vecindex{m}{2}}
-\newcommand{\vnb}{\vecindex{n}{2}}
-\newcommand{\vob}{\vecindex{o}{2}}
-\newcommand{\vpb}{\vecindex{p}{2}}
-\newcommand{\vqb}{\vecindex{q}{2}}
-\newcommand{\vrb}{\vecindex{r}{2}}
-\newcommand{\vsb}{\vecindex{s}{2}}
-\newcommand{\vtb}{\vecindex{t}{2}}
-\newcommand{\vub}{\vecindex{u}{2}}
-\newcommand{\vvb}{\vecindex{v}{2}}
-\newcommand{\vwb}{\vecindex{w}{2}}
-\newcommand{\vxb}{\vecindex{x}{2}}
-\newcommand{\vyb}{\vecindex{y}{2}}
-\newcommand{\vzb}{\vecindex{z}{2}}
-% ]]]
-% "3" (c) [[[
-\newcommand{\vac}{\vecindex{a}{3}}
-\newcommand{\vbc}{\vecindex{b}{3}}
-\newcommand{\vcc}{\vecindex{c}{3}}
-\newcommand{\vdc}{\vecindex{d}{3}}
-%\def\vec{\vecindex{e}{3}}                     % vec ¤ÏÄêµÁºÑ¤ß
-\newcommand{\vfc}{\vecindex{f}{3}}
-\newcommand{\vgc}{\vecindex{g}{3}}
-\newcommand{\vhc}{\vecindex{h}{3}}
-\newcommand{\vic}{\vecindex{i}{3}}
-\newcommand{\vjc}{\vecindex{j}{3}}
-\newcommand{\vkc}{\vecindex{k}{3}}
-\newcommand{\vlc}{\vecindex{l}{3}}
-\newcommand{\vmc}{\vecindex{m}{3}}
-\newcommand{\vnc}{\vecindex{n}{3}}
-\newcommand{\voc}{\vecindex{o}{3}}
-\newcommand{\vpc}{\vecindex{p}{3}}
-\newcommand{\vqc}{\vecindex{q}{3}}
-\newcommand{\vrc}{\vecindex{r}{3}}
-\newcommand{\vsc}{\vecindex{s}{3}}
-\newcommand{\vtc}{\vecindex{t}{3}}
-\newcommand{\vuc}{\vecindex{u}{3}}
-\newcommand{\vvc}{\vecindex{v}{3}}
-\newcommand{\vwc}{\vecindex{w}{3}}
-\newcommand{\vxc}{\vecindex{x}{3}}
-\newcommand{\vyc}{\vecindex{y}{3}}
-\newcommand{\vzc}{\vecindex{z}{3}}
-% ]]]
-% "01" (za) [[[
-\newcommand{\vaza}{\vecindex{a}{01}}
-\newcommand{\vbza}{\vecindex{b}{01}}
-\newcommand{\vcza}{\vecindex{c}{01}}
-\newcommand{\vdza}{\vecindex{d}{01}}
-\newcommand{\veza}{\vecindex{e}{01}}
-\newcommand{\vfza}{\vecindex{f}{01}}
-\newcommand{\vgza}{\vecindex{g}{01}}
-\newcommand{\vhza}{\vecindex{h}{01}}
-\newcommand{\viza}{\vecindex{i}{01}}
-\newcommand{\vjza}{\vecindex{j}{01}}
-\newcommand{\vkza}{\vecindex{k}{01}}
-\newcommand{\vlza}{\vecindex{l}{01}}
-\newcommand{\vmza}{\vecindex{m}{01}}
-\newcommand{\vnza}{\vecindex{n}{01}}
-\newcommand{\voza}{\vecindex{o}{01}}
-\newcommand{\vpza}{\vecindex{p}{01}}
-\newcommand{\vqza}{\vecindex{q}{01}}
-\newcommand{\vrza}{\vecindex{r}{01}}
-\newcommand{\vsza}{\vecindex{s}{01}}
-\newcommand{\vtza}{\vecindex{t}{01}}
-\newcommand{\vuza}{\vecindex{u}{01}}
-\newcommand{\vvza}{\vecindex{v}{01}}
-\newcommand{\vwza}{\vecindex{w}{01}}
-\newcommand{\vxza}{\vecindex{x}{01}}
-\newcommand{\vyza}{\vecindex{y}{01}}
-\newcommand{\vzza}{\vecindex{z}{01}}
-% ]]]
-% "02" (zb) [[[
-\newcommand{\vazb}{\vecindex{a}{02}}
-\newcommand{\vbzb}{\vecindex{b}{02}}
-\newcommand{\vczb}{\vecindex{c}{02}}
-\newcommand{\vdzb}{\vecindex{d}{02}}
-\newcommand{\vezb}{\vecindex{e}{02}}
-\newcommand{\vfzb}{\vecindex{f}{02}}
-\newcommand{\vgzb}{\vecindex{g}{02}}
-\newcommand{\vhzb}{\vecindex{h}{02}}
-\newcommand{\vizb}{\vecindex{i}{02}}
-\newcommand{\vjzb}{\vecindex{j}{02}}
-\newcommand{\vkzb}{\vecindex{k}{02}}
-\newcommand{\vlzb}{\vecindex{l}{02}}
-\newcommand{\vmzb}{\vecindex{m}{02}}
-\newcommand{\vnzb}{\vecindex{n}{02}}
-\newcommand{\vozb}{\vecindex{o}{02}}
-\newcommand{\vpzb}{\vecindex{p}{02}}
-\newcommand{\vqzb}{\vecindex{q}{02}}
-\newcommand{\vrzb}{\vecindex{r}{02}}
-\newcommand{\vszb}{\vecindex{s}{02}}
-\newcommand{\vtzb}{\vecindex{t}{02}}
-\newcommand{\vuzb}{\vecindex{u}{02}}
-\newcommand{\vvzb}{\vecindex{v}{02}}
-\newcommand{\vwzb}{\vecindex{w}{02}}
-\newcommand{\vxzb}{\vecindex{x}{02}}
-\newcommand{\vyzb}{\vecindex{y}{02}}
-\newcommand{\vzzb}{\vecindex{z}{02}}
-% ]]]
-% "03" (zc) [[[
-\newcommand{\vazc}{\vecindex{a}{03}}
-\newcommand{\vbzc}{\vecindex{b}{03}}
-\newcommand{\vczc}{\vecindex{c}{03}}
-\newcommand{\vdzc}{\vecindex{d}{03}}
-\newcommand{\vezc}{\vecindex{e}{03}}
-\newcommand{\vfzc}{\vecindex{f}{03}}
-\newcommand{\vgzc}{\vecindex{g}{03}}
-\newcommand{\vhzc}{\vecindex{h}{03}}
-\newcommand{\vizc}{\vecindex{i}{03}}
-\newcommand{\vjzc}{\vecindex{j}{03}}
-\newcommand{\vkzc}{\vecindex{k}{03}}
-\newcommand{\vlzc}{\vecindex{l}{03}}
-\newcommand{\vmzc}{\vecindex{m}{03}}
-\newcommand{\vnzc}{\vecindex{n}{03}}
-\newcommand{\vozc}{\vecindex{o}{03}}
-\newcommand{\vpzc}{\vecindex{p}{03}}
-\newcommand{\vqzc}{\vecindex{q}{03}}
-\newcommand{\vrzc}{\vecindex{r}{03}}
-\newcommand{\vszc}{\vecindex{s}{03}}
-\newcommand{\vtzc}{\vecindex{t}{03}}
-\newcommand{\vuzc}{\vecindex{u}{03}}
-\newcommand{\vvzc}{\vecindex{v}{03}}
-\newcommand{\vwzc}{\vecindex{w}{03}}
-\newcommand{\vxzc}{\vecindex{x}{03}}
-\newcommand{\vyzc}{\vecindex{y}{03}}
-\newcommand{\vzzc}{\vecindex{z}{03}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥×¥é¥¤¥à (Xp) [[[
-\newcommand{\vecindexprime}[2]{\vecprime{#1}_{#2}}
-% "i" (ip) [[[
-\newcommand{\vaip}{\vecindexprime{a}{i}}
-\newcommand{\vbip}{\vecindexprime{b}{i}}
-\newcommand{\vcip}{\vecindexprime{c}{i}}
-\newcommand{\vdip}{\vecindexprime{d}{i}}
-\newcommand{\veip}{\vecindexprime{e}{i}}
-\newcommand{\vfip}{\vecindexprime{f}{i}}
-\newcommand{\vgip}{\vecindexprime{g}{i}}
-\newcommand{\vhip}{\vecindexprime{h}{i}}
-\newcommand{\viip}{\vecindexprime{i}{i}}
-\newcommand{\vjip}{\vecindexprime{j}{i}}
-\newcommand{\vkip}{\vecindexprime{k}{i}}
-\newcommand{\vlip}{\vecindexprime{l}{i}}
-\newcommand{\vmip}{\vecindexprime{m}{i}}
-\newcommand{\vnip}{\vecindexprime{n}{i}}
-\newcommand{\voip}{\vecindexprime{o}{i}}
-\newcommand{\vpip}{\vecindexprime{p}{i}}
-\newcommand{\vqip}{\vecindexprime{q}{i}}
-\newcommand{\vrip}{\vecindexprime{r}{i}}
-\newcommand{\vsip}{\vecindexprime{s}{i}}
-\newcommand{\vtip}{\vecindexprime{t}{i}}
-\newcommand{\vuip}{\vecindexprime{u}{i}}
-\newcommand{\vvip}{\vecindexprime{v}{i}}
-\newcommand{\vwip}{\vecindexprime{w}{i}}
-\newcommand{\vxip}{\vecindexprime{x}{i}}
-\newcommand{\vyip}{\vecindexprime{y}{i}}
-\newcommand{\vzip}{\vecindexprime{z}{i}}
-% ]]]
-% "j" (jp) [[[
-\newcommand{\vajp}{\vecindexprime{a}{j}}
-\newcommand{\vbjp}{\vecindexprime{b}{j}}
-\newcommand{\vcjp}{\vecindexprime{c}{j}}
-\newcommand{\vdjp}{\vecindexprime{d}{j}}
-\newcommand{\vejp}{\vecindexprime{e}{j}}
-\newcommand{\vfjp}{\vecindexprime{f}{j}}
-\newcommand{\vgjp}{\vecindexprime{g}{j}}
-\newcommand{\vhjp}{\vecindexprime{h}{j}}
-\newcommand{\vijp}{\vecindexprime{i}{j}}
-\newcommand{\vjjp}{\vecindexprime{j}{j}}
-\newcommand{\vkjp}{\vecindexprime{k}{j}}
-\newcommand{\vljp}{\vecindexprime{l}{j}}
-\newcommand{\vmjp}{\vecindexprime{m}{j}}
-\newcommand{\vnjp}{\vecindexprime{n}{j}}
-\newcommand{\vojp}{\vecindexprime{o}{j}}
-\newcommand{\vpjp}{\vecindexprime{p}{j}}
-\newcommand{\vqjp}{\vecindexprime{q}{j}}
-\newcommand{\vrjp}{\vecindexprime{r}{j}}
-\newcommand{\vsjp}{\vecindexprime{s}{j}}
-\newcommand{\vtjp}{\vecindexprime{t}{j}}
-\newcommand{\vujp}{\vecindexprime{u}{j}}
-\newcommand{\vvjp}{\vecindexprime{v}{j}}
-\newcommand{\vwjp}{\vecindexprime{w}{j}}
-\newcommand{\vxjp}{\vecindexprime{x}{j}}
-\newcommand{\vyjp}{\vecindexprime{y}{j}}
-\newcommand{\vzjp}{\vecindexprime{z}{j}}
-% ]]]
-% "n" (np) [[[
-\newcommand{\vanp}{\vecindexprime{a}{n}}
-\newcommand{\vbnp}{\vecindexprime{b}{n}}
-\newcommand{\vcnp}{\vecindexprime{c}{n}}
-\newcommand{\vdnp}{\vecindexprime{d}{n}}
-\newcommand{\venp}{\vecindexprime{e}{n}}
-\newcommand{\vfnp}{\vecindexprime{f}{n}}
-\newcommand{\vgnp}{\vecindexprime{g}{n}}
-\newcommand{\vhnp}{\vecindexprime{h}{n}}
-\newcommand{\vinp}{\vecindexprime{i}{n}}
-\newcommand{\vjnp}{\vecindexprime{j}{n}}
-\newcommand{\vknp}{\vecindexprime{k}{n}}
-\newcommand{\vlnp}{\vecindexprime{l}{n}}
-\newcommand{\vmnp}{\vecindexprime{m}{n}}
-\newcommand{\vnnp}{\vecindexprime{n}{n}}
-\newcommand{\vonp}{\vecindexprime{o}{n}}
-\newcommand{\vpnp}{\vecindexprime{p}{n}}
-\newcommand{\vqnp}{\vecindexprime{q}{n}}
-\newcommand{\vrnp}{\vecindexprime{r}{n}}
-\newcommand{\vsnp}{\vecindexprime{s}{n}}
-\newcommand{\vtnp}{\vecindexprime{t}{n}}
-\newcommand{\vunp}{\vecindexprime{u}{n}}
-\newcommand{\vvnp}{\vecindexprime{v}{n}}
-\newcommand{\vwnp}{\vecindexprime{w}{n}}
-\newcommand{\vxnp}{\vecindexprime{x}{n}}
-\newcommand{\vynp}{\vecindexprime{y}{n}}
-\newcommand{\vznp}{\vecindexprime{z}{n}}
-% ]]]
-% "0" (zp) [[[
-\newcommand{\vazp}{\vecindexprime{a}{0}}
-\newcommand{\vbzp}{\vecindexprime{b}{0}}
-\newcommand{\vczp}{\vecindexprime{c}{0}}
-\newcommand{\vdzp}{\vecindexprime{d}{0}}
-\newcommand{\vezp}{\vecindexprime{e}{0}}
-\newcommand{\vfzp}{\vecindexprime{f}{0}}
-\newcommand{\vgzp}{\vecindexprime{g}{0}}
-\newcommand{\vhzp}{\vecindexprime{h}{0}}
-\newcommand{\vizp}{\vecindexprime{i}{0}}
-\newcommand{\vjzp}{\vecindexprime{j}{0}}
-\newcommand{\vkzp}{\vecindexprime{k}{0}}
-\newcommand{\vlzp}{\vecindexprime{l}{0}}
-\newcommand{\vmzp}{\vecindexprime{m}{0}}
-\newcommand{\vnzp}{\vecindexprime{n}{0}}
-\newcommand{\vozp}{\vecindexprime{o}{0}}
-\newcommand{\vpzp}{\vecindexprime{p}{0}}
-\newcommand{\vqzp}{\vecindexprime{q}{0}}
-\newcommand{\vrzp}{\vecindexprime{r}{0}}
-\newcommand{\vszp}{\vecindexprime{s}{0}}
-\newcommand{\vtzp}{\vecindexprime{t}{0}}
-\newcommand{\vuzp}{\vecindexprime{u}{0}}
-\newcommand{\vvzp}{\vecindexprime{v}{0}}
-\newcommand{\vwzp}{\vecindexprime{w}{0}}
-\newcommand{\vxzp}{\vecindexprime{x}{0}}
-\newcommand{\vyzp}{\vecindexprime{y}{0}}
-\newcommand{\vzzp}{\vecindexprime{z}{0}}
-% ]]]
-% "1" (ap) [[[
-\newcommand{\vaap}{\vecindexprime{a}{1}}
-\newcommand{\vbap}{\vecindexprime{b}{1}}
-\newcommand{\vcap}{\vecindexprime{c}{1}}
-\newcommand{\vdap}{\vecindexprime{d}{1}}
-\newcommand{\veap}{\vecindexprime{e}{1}}
-\newcommand{\vfap}{\vecindexprime{f}{1}}
-\newcommand{\vgap}{\vecindexprime{g}{1}}
-\newcommand{\vhap}{\vecindexprime{h}{1}}
-\newcommand{\viap}{\vecindexprime{i}{1}}
-\newcommand{\vjap}{\vecindexprime{j}{1}}
-\newcommand{\vkap}{\vecindexprime{k}{1}}
-\newcommand{\vlap}{\vecindexprime{l}{1}}
-\newcommand{\vmap}{\vecindexprime{m}{1}}
-\newcommand{\vnap}{\vecindexprime{n}{1}}
-\newcommand{\voap}{\vecindexprime{o}{1}}
-\newcommand{\vpap}{\vecindexprime{p}{1}}
-\newcommand{\vqap}{\vecindexprime{q}{1}}
-\newcommand{\vrap}{\vecindexprime{r}{1}}
-\newcommand{\vsap}{\vecindexprime{s}{1}}
-\newcommand{\vtap}{\vecindexprime{t}{1}}
-\newcommand{\vuap}{\vecindexprime{u}{1}}
-\newcommand{\vvap}{\vecindexprime{v}{1}}
-\newcommand{\vwap}{\vecindexprime{w}{1}}
-\newcommand{\vxap}{\vecindexprime{x}{1}}
-\newcommand{\vyap}{\vecindexprime{y}{1}}
-\newcommand{\vzap}{\vecindexprime{z}{1}}
-% ]]]
-% "2" (bp) [[[
-\newcommand{\vabp}{\vecindexprime{a}{2}}
-\newcommand{\vbbp}{\vecindexprime{b}{2}}
-\newcommand{\vcbp}{\vecindexprime{c}{2}}
-\newcommand{\vdbp}{\vecindexprime{d}{2}}
-\newcommand{\vebp}{\vecindexprime{e}{2}}
-\newcommand{\vfbp}{\vecindexprime{f}{2}}
-\newcommand{\vgbp}{\vecindexprime{g}{2}}
-\newcommand{\vhbp}{\vecindexprime{h}{2}}
-\newcommand{\vibp}{\vecindexprime{i}{2}}
-\newcommand{\vjbp}{\vecindexprime{j}{2}}
-\newcommand{\vkbp}{\vecindexprime{k}{2}}
-\newcommand{\vlbp}{\vecindexprime{l}{2}}
-\newcommand{\vmbp}{\vecindexprime{m}{2}}
-\newcommand{\vnbp}{\vecindexprime{n}{2}}
-\newcommand{\vobp}{\vecindexprime{o}{2}}
-\newcommand{\vpbp}{\vecindexprime{p}{2}}
-\newcommand{\vqbp}{\vecindexprime{q}{2}}
-\newcommand{\vrbp}{\vecindexprime{r}{2}}
-\newcommand{\vsbp}{\vecindexprime{s}{2}}
-\newcommand{\vtbp}{\vecindexprime{t}{2}}
-\newcommand{\vubp}{\vecindexprime{u}{2}}
-\newcommand{\vvbp}{\vecindexprime{v}{2}}
-\newcommand{\vwbp}{\vecindexprime{w}{2}}
-\newcommand{\vxbp}{\vecindexprime{x}{2}}
-\newcommand{\vybp}{\vecindexprime{y}{2}}
-\newcommand{\vzbp}{\vecindexprime{z}{2}}
-% ]]]
-% "3" (cp) [[[
-\newcommand{\vacp}{\vecindexprime{a}{3}}
-\newcommand{\vbcp}{\vecindexprime{b}{3}}
-\newcommand{\vccp}{\vecindexprime{c}{3}}
-\newcommand{\vdcp}{\vecindexprime{d}{3}}
-\newcommand{\vecp}{\vecindexprime{e}{3}}
-\newcommand{\vfcp}{\vecindexprime{f}{3}}
-\newcommand{\vgcp}{\vecindexprime{g}{3}}
-\newcommand{\vhcp}{\vecindexprime{h}{3}}
-\newcommand{\vicp}{\vecindexprime{i}{3}}
-\newcommand{\vjcp}{\vecindexprime{j}{3}}
-\newcommand{\vkcp}{\vecindexprime{k}{3}}
-\newcommand{\vlcp}{\vecindexprime{l}{3}}
-\newcommand{\vmcp}{\vecindexprime{m}{3}}
-\newcommand{\vncp}{\vecindexprime{n}{3}}
-\newcommand{\vocp}{\vecindexprime{o}{3}}
-\newcommand{\vpcp}{\vecindexprime{p}{3}}
-\newcommand{\vqcp}{\vecindexprime{q}{3}}
-\newcommand{\vrcp}{\vecindexprime{r}{3}}
-\newcommand{\vscp}{\vecindexprime{s}{3}}
-\newcommand{\vtcp}{\vecindexprime{t}{3}}
-\newcommand{\vucp}{\vecindexprime{u}{3}}
-\newcommand{\vvcp}{\vecindexprime{v}{3}}
-\newcommand{\vwcp}{\vecindexprime{w}{3}}
-\newcommand{\vxcp}{\vecindexprime{x}{3}}
-\newcommand{\vycp}{\vecindexprime{y}{3}}
-\newcommand{\vzcp}{\vecindexprime{z}{3}}
-% ]]]
-% "01" (zap) [[[
-\newcommand{\vazap}{\vecindexprime{a}{01}}
-\newcommand{\vbzap}{\vecindexprime{b}{01}}
-\newcommand{\vczap}{\vecindexprime{c}{01}}
-\newcommand{\vdzap}{\vecindexprime{d}{01}}
-\newcommand{\vezap}{\vecindexprime{e}{01}}
-\newcommand{\vfzap}{\vecindexprime{f}{01}}
-\newcommand{\vgzap}{\vecindexprime{g}{01}}
-\newcommand{\vhzap}{\vecindexprime{h}{01}}
-\newcommand{\vizap}{\vecindexprime{i}{01}}
-\newcommand{\vjzap}{\vecindexprime{j}{01}}
-\newcommand{\vkzap}{\vecindexprime{k}{01}}
-\newcommand{\vlzap}{\vecindexprime{l}{01}}
-\newcommand{\vmzap}{\vecindexprime{m}{01}}
-\newcommand{\vnzap}{\vecindexprime{n}{01}}
-\newcommand{\vozap}{\vecindexprime{o}{01}}
-\newcommand{\vpzap}{\vecindexprime{p}{01}}
-\newcommand{\vqzap}{\vecindexprime{q}{01}}
-\newcommand{\vrzap}{\vecindexprime{r}{01}}
-\newcommand{\vszap}{\vecindexprime{s}{01}}
-\newcommand{\vtzap}{\vecindexprime{t}{01}}
-\newcommand{\vuzap}{\vecindexprime{u}{01}}
-\newcommand{\vvzap}{\vecindexprime{v}{01}}
-\newcommand{\vwzap}{\vecindexprime{w}{01}}
-\newcommand{\vxzap}{\vecindexprime{x}{01}}
-\newcommand{\vyzap}{\vecindexprime{y}{01}}
-\newcommand{\vzzap}{\vecindexprime{z}{01}}
-% ]]]
-% "02" (zbp) [[[
-\newcommand{\vazbp}{\vecindexprime{a}{02}}
-\newcommand{\vbzbp}{\vecindexprime{b}{02}}
-\newcommand{\vczbp}{\vecindexprime{c}{02}}
-\newcommand{\vdzbp}{\vecindexprime{d}{02}}
-\newcommand{\vezbp}{\vecindexprime{e}{02}}
-\newcommand{\vfzbp}{\vecindexprime{f}{02}}
-\newcommand{\vgzbp}{\vecindexprime{g}{02}}
-\newcommand{\vhzbp}{\vecindexprime{h}{02}}
-\newcommand{\vizbp}{\vecindexprime{i}{02}}
-\newcommand{\vjzbp}{\vecindexprime{j}{02}}
-\newcommand{\vkzbp}{\vecindexprime{k}{02}}
-\newcommand{\vlzbp}{\vecindexprime{l}{02}}
-\newcommand{\vmzbp}{\vecindexprime{m}{02}}
-\newcommand{\vnzbp}{\vecindexprime{n}{02}}
-\newcommand{\vozbp}{\vecindexprime{o}{02}}
-\newcommand{\vpzbp}{\vecindexprime{p}{02}}
-\newcommand{\vqzbp}{\vecindexprime{q}{02}}
-\newcommand{\vrzbp}{\vecindexprime{r}{02}}
-\newcommand{\vszbp}{\vecindexprime{s}{02}}
-\newcommand{\vtzbp}{\vecindexprime{t}{02}}
-\newcommand{\vuzbp}{\vecindexprime{u}{02}}
-\newcommand{\vvzbp}{\vecindexprime{v}{02}}
-\newcommand{\vwzbp}{\vecindexprime{w}{02}}
-\newcommand{\vxzbp}{\vecindexprime{x}{02}}
-\newcommand{\vyzbp}{\vecindexprime{y}{02}}
-\newcommand{\vzzbp}{\vecindexprime{z}{02}}
-% ]]]
-% "03" (zcp) [[[
-\newcommand{\vazcp}{\vecindexprime{a}{03}}
-\newcommand{\vbzcp}{\vecindexprime{b}{03}}
-\newcommand{\vczcp}{\vecindexprime{c}{03}}
-\newcommand{\vdzcp}{\vecindexprime{d}{03}}
-\newcommand{\vezcp}{\vecindexprime{e}{03}}
-\newcommand{\vfzcp}{\vecindexprime{f}{03}}
-\newcommand{\vgzcp}{\vecindexprime{g}{03}}
-\newcommand{\vhzcp}{\vecindexprime{h}{03}}
-\newcommand{\vizcp}{\vecindexprime{i}{03}}
-\newcommand{\vjzcp}{\vecindexprime{j}{03}}
-\newcommand{\vkzcp}{\vecindexprime{k}{03}}
-\newcommand{\vlzcp}{\vecindexprime{l}{03}}
-\newcommand{\vmzcp}{\vecindexprime{m}{03}}
-\newcommand{\vnzcp}{\vecindexprime{n}{03}}
-\newcommand{\vozcp}{\vecindexprime{o}{03}}
-\newcommand{\vpzcp}{\vecindexprime{p}{03}}
-\newcommand{\vqzcp}{\vecindexprime{q}{03}}
-\newcommand{\vrzcp}{\vecindexprime{r}{03}}
-\newcommand{\vszcp}{\vecindexprime{s}{03}}
-\newcommand{\vtzcp}{\vecindexprime{t}{03}}
-\newcommand{\vuzcp}{\vecindexprime{u}{03}}
-\newcommand{\vvzcp}{\vecindexprime{v}{03}}
-\newcommand{\vwzcp}{\vecindexprime{w}{03}}
-\newcommand{\vxzcp}{\vecindexprime{x}{03}}
-\newcommand{\vyzcp}{\vecindexprime{y}{03}}
-\newcommand{\vzzcp}{\vecindexprime{z}{03}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + 2½Å¥×¥é¥¤¥à (Xpp) [[[
-\newcommand{\vecindexprimeprime}[2]{\vecprimeprime{#1}_{#2}}
-% "i" (ipp) [[[
-\newcommand{\vaipp}{\vecindexprimeprime{a}{i}}
-\newcommand{\vbipp}{\vecindexprimeprime{b}{i}}
-\newcommand{\vcipp}{\vecindexprimeprime{c}{i}}
-\newcommand{\vdipp}{\vecindexprimeprime{d}{i}}
-\newcommand{\veipp}{\vecindexprimeprime{e}{i}}
-\newcommand{\vfipp}{\vecindexprimeprime{f}{i}}
-\newcommand{\vgipp}{\vecindexprimeprime{g}{i}}
-\newcommand{\vhipp}{\vecindexprimeprime{h}{i}}
-\newcommand{\viipp}{\vecindexprimeprime{i}{i}}
-\newcommand{\vjipp}{\vecindexprimeprime{j}{i}}
-\newcommand{\vkipp}{\vecindexprimeprime{k}{i}}
-\newcommand{\vlipp}{\vecindexprimeprime{l}{i}}
-\newcommand{\vmipp}{\vecindexprimeprime{m}{i}}
-\newcommand{\vnipp}{\vecindexprimeprime{n}{i}}
-\newcommand{\voipp}{\vecindexprimeprime{o}{i}}
-\newcommand{\vpipp}{\vecindexprimeprime{p}{i}}
-\newcommand{\vqipp}{\vecindexprimeprime{q}{i}}
-\newcommand{\vripp}{\vecindexprimeprime{r}{i}}
-\newcommand{\vsipp}{\vecindexprimeprime{s}{i}}
-\newcommand{\vtipp}{\vecindexprimeprime{t}{i}}
-\newcommand{\vuipp}{\vecindexprimeprime{u}{i}}
-\newcommand{\vvipp}{\vecindexprimeprime{v}{i}}
-\newcommand{\vwipp}{\vecindexprimeprime{w}{i}}
-\newcommand{\vxipp}{\vecindexprimeprime{x}{i}}
-\newcommand{\vyipp}{\vecindexprimeprime{y}{i}}
-\newcommand{\vzipp}{\vecindexprimeprime{z}{i}}
-% ]]]
-% "j" (jpp) [[[
-\newcommand{\vajpp}{\vecindexprimeprime{a}{j}}
-\newcommand{\vbjpp}{\vecindexprimeprime{b}{j}}
-\newcommand{\vcjpp}{\vecindexprimeprime{c}{j}}
-\newcommand{\vdjpp}{\vecindexprimeprime{d}{j}}
-\newcommand{\vejpp}{\vecindexprimeprime{e}{j}}
-\newcommand{\vfjpp}{\vecindexprimeprime{f}{j}}
-\newcommand{\vgjpp}{\vecindexprimeprime{g}{j}}
-\newcommand{\vhjpp}{\vecindexprimeprime{h}{j}}
-\newcommand{\vijpp}{\vecindexprimeprime{i}{j}}
-\newcommand{\vjjpp}{\vecindexprimeprime{j}{j}}
-\newcommand{\vkjpp}{\vecindexprimeprime{k}{j}}
-\newcommand{\vljpp}{\vecindexprimeprime{l}{j}}
-\newcommand{\vmjpp}{\vecindexprimeprime{m}{j}}
-\newcommand{\vnjpp}{\vecindexprimeprime{n}{j}}
-\newcommand{\vojpp}{\vecindexprimeprime{o}{j}}
-\newcommand{\vpjpp}{\vecindexprimeprime{p}{j}}
-\newcommand{\vqjpp}{\vecindexprimeprime{q}{j}}
-\newcommand{\vrjpp}{\vecindexprimeprime{r}{j}}
-\newcommand{\vsjpp}{\vecindexprimeprime{s}{j}}
-\newcommand{\vtjpp}{\vecindexprimeprime{t}{j}}
-\newcommand{\vujpp}{\vecindexprimeprime{u}{j}}
-\newcommand{\vvjpp}{\vecindexprimeprime{v}{j}}
-\newcommand{\vwjpp}{\vecindexprimeprime{w}{j}}
-\newcommand{\vxjpp}{\vecindexprimeprime{x}{j}}
-\newcommand{\vyjpp}{\vecindexprimeprime{y}{j}}
-\newcommand{\vzjpp}{\vecindexprimeprime{z}{j}}
-% ]]]
-% "n" (npp) [[[
-\newcommand{\vanpp}{\vecindexprimeprime{a}{n}}
-\newcommand{\vbnpp}{\vecindexprimeprime{b}{n}}
-\newcommand{\vcnpp}{\vecindexprimeprime{c}{n}}
-\newcommand{\vdnpp}{\vecindexprimeprime{d}{n}}
-\newcommand{\venpp}{\vecindexprimeprime{e}{n}}
-\newcommand{\vfnpp}{\vecindexprimeprime{f}{n}}
-\newcommand{\vgnpp}{\vecindexprimeprime{g}{n}}
-\newcommand{\vhnpp}{\vecindexprimeprime{h}{n}}
-\newcommand{\vinpp}{\vecindexprimeprime{i}{n}}
-\newcommand{\vjnpp}{\vecindexprimeprime{j}{n}}
-\newcommand{\vknpp}{\vecindexprimeprime{k}{n}}
-\newcommand{\vlnpp}{\vecindexprimeprime{l}{n}}
-\newcommand{\vmnpp}{\vecindexprimeprime{m}{n}}
-\newcommand{\vnnpp}{\vecindexprimeprime{n}{n}}
-\newcommand{\vonpp}{\vecindexprimeprime{o}{n}}
-\newcommand{\vpnpp}{\vecindexprimeprime{p}{n}}
-\newcommand{\vqnpp}{\vecindexprimeprime{q}{n}}
-\newcommand{\vrnpp}{\vecindexprimeprime{r}{n}}
-\newcommand{\vsnpp}{\vecindexprimeprime{s}{n}}
-\newcommand{\vtnpp}{\vecindexprimeprime{t}{n}}
-\newcommand{\vunpp}{\vecindexprimeprime{u}{n}}
-\newcommand{\vvnpp}{\vecindexprimeprime{v}{n}}
-\newcommand{\vwnpp}{\vecindexprimeprime{w}{n}}
-\newcommand{\vxnpp}{\vecindexprimeprime{x}{n}}
-\newcommand{\vynpp}{\vecindexprimeprime{y}{n}}
-\newcommand{\vznpp}{\vecindexprimeprime{z}{n}}
-% ]]]
-% "1" (app) [[[
-\newcommand{\vaapp}{\vecindexprimeprime{a}{1}}
-\newcommand{\vbapp}{\vecindexprimeprime{b}{1}}
-\newcommand{\vcapp}{\vecindexprimeprime{c}{1}}
-\newcommand{\vdapp}{\vecindexprimeprime{d}{1}}
-\newcommand{\veapp}{\vecindexprimeprime{e}{1}}
-\newcommand{\vfapp}{\vecindexprimeprime{f}{1}}
-\newcommand{\vgapp}{\vecindexprimeprime{g}{1}}
-\newcommand{\vhapp}{\vecindexprimeprime{h}{1}}
-\newcommand{\viapp}{\vecindexprimeprime{i}{1}}
-\newcommand{\vjapp}{\vecindexprimeprime{j}{1}}
-\newcommand{\vkapp}{\vecindexprimeprime{k}{1}}
-\newcommand{\vlapp}{\vecindexprimeprime{l}{1}}
-\newcommand{\vmapp}{\vecindexprimeprime{m}{1}}
-\newcommand{\vnapp}{\vecindexprimeprime{n}{1}}
-\newcommand{\voapp}{\vecindexprimeprime{o}{1}}
-\newcommand{\vpapp}{\vecindexprimeprime{p}{1}}
-\newcommand{\vqapp}{\vecindexprimeprime{q}{1}}
-\newcommand{\vrapp}{\vecindexprimeprime{r}{1}}
-\newcommand{\vsapp}{\vecindexprimeprime{s}{1}}
-\newcommand{\vtapp}{\vecindexprimeprime{t}{1}}
-\newcommand{\vuapp}{\vecindexprimeprime{u}{1}}
-\newcommand{\vvapp}{\vecindexprimeprime{v}{1}}
-\newcommand{\vwapp}{\vecindexprimeprime{w}{1}}
-\newcommand{\vxapp}{\vecindexprimeprime{x}{1}}
-\newcommand{\vyapp}{\vecindexprimeprime{y}{1}}
-\newcommand{\vzapp}{\vecindexprimeprime{z}{1}}
-% ]]]
-% "2" (bpp) [[[
-\newcommand{\vabpp}{\vecindexprimeprime{a}{2}}
-\newcommand{\vbbpp}{\vecindexprimeprime{b}{2}}
-\newcommand{\vcbpp}{\vecindexprimeprime{c}{2}}
-\newcommand{\vdbpp}{\vecindexprimeprime{d}{2}}
-\newcommand{\vebpp}{\vecindexprimeprime{e}{2}}
-\newcommand{\vfbpp}{\vecindexprimeprime{f}{2}}
-\newcommand{\vgbpp}{\vecindexprimeprime{g}{2}}
-\newcommand{\vhbpp}{\vecindexprimeprime{h}{2}}
-\newcommand{\vibpp}{\vecindexprimeprime{i}{2}}
-\newcommand{\vjbpp}{\vecindexprimeprime{j}{2}}
-\newcommand{\vkbpp}{\vecindexprimeprime{k}{2}}
-\newcommand{\vlbpp}{\vecindexprimeprime{l}{2}}
-\newcommand{\vmbpp}{\vecindexprimeprime{m}{2}}
-\newcommand{\vnbpp}{\vecindexprimeprime{n}{2}}
-\newcommand{\vobpp}{\vecindexprimeprime{o}{2}}
-\newcommand{\vpbpp}{\vecindexprimeprime{p}{2}}
-\newcommand{\vqbpp}{\vecindexprimeprime{q}{2}}
-\newcommand{\vrbpp}{\vecindexprimeprime{r}{2}}
-\newcommand{\vsbpp}{\vecindexprimeprime{s}{2}}
-\newcommand{\vtbpp}{\vecindexprimeprime{t}{2}}
-\newcommand{\vubpp}{\vecindexprimeprime{u}{2}}
-\newcommand{\vvbpp}{\vecindexprimeprime{v}{2}}
-\newcommand{\vwbpp}{\vecindexprimeprime{w}{2}}
-\newcommand{\vxbpp}{\vecindexprimeprime{x}{2}}
-\newcommand{\vybpp}{\vecindexprimeprime{y}{2}}
-\newcommand{\vzbpp}{\vecindexprimeprime{z}{2}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥Ï¥Ã¥È (Xh) [[[
-\newcommand{\vecindexhat}[2]{\vechat{#1}_{#2}}
-% "alpha" (aah) [[[
-\newcommand{\vaaah}{\vecindexhat{a}{\alpha}}
-\newcommand{\vbaah}{\vecindexhat{b}{\alpha}}
-\newcommand{\vcaah}{\vecindexhat{c}{\alpha}}
-\newcommand{\vdaah}{\vecindexhat{d}{\alpha}}
-\newcommand{\veaah}{\vecindexhat{e}{\alpha}}
-\newcommand{\vfaah}{\vecindexhat{f}{\alpha}}
-\newcommand{\vgaah}{\vecindexhat{g}{\alpha}}
-\newcommand{\vhaah}{\vecindexhat{h}{\alpha}}
-\newcommand{\viaah}{\vecindexhat{i}{\alpha}}
-\newcommand{\vjaah}{\vecindexhat{j}{\alpha}}
-\newcommand{\vkaah}{\vecindexhat{k}{\alpha}}
-\newcommand{\vlaah}{\vecindexhat{l}{\alpha}}
-\newcommand{\vmaah}{\vecindexhat{m}{\alpha}}
-\newcommand{\vnaah}{\vecindexhat{n}{\alpha}}
-\newcommand{\voaah}{\vecindexhat{o}{\alpha}}
-\newcommand{\vpaah}{\vecindexhat{p}{\alpha}}
-\newcommand{\vqaah}{\vecindexhat{q}{\alpha}}
-\newcommand{\vraah}{\vecindexhat{r}{\alpha}}
-\newcommand{\vsaah}{\vecindexhat{s}{\alpha}}
-\newcommand{\vtaah}{\vecindexhat{t}{\alpha}}
-\newcommand{\vuaah}{\vecindexhat{u}{\alpha}}
-\newcommand{\vvaah}{\vecindexhat{v}{\alpha}}
-\newcommand{\vwaah}{\vecindexhat{w}{\alpha}}
-\newcommand{\vxaah}{\vecindexhat{x}{\alpha}}
-\newcommand{\vyaah}{\vecindexhat{y}{\alpha}}
-\newcommand{\vzaah}{\vecindexhat{z}{\alpha}}
-% ]]]
-% "i" (ih) [[[
-\newcommand{\vaih}{\vecindexhat{a}{i}}
-\newcommand{\vbih}{\vecindexhat{b}{i}}
-\newcommand{\vcih}{\vecindexhat{c}{i}}
-\newcommand{\vdih}{\vecindexhat{d}{i}}
-\newcommand{\veih}{\vecindexhat{e}{i}}
-\newcommand{\vfih}{\vecindexhat{f}{i}}
-\newcommand{\vgih}{\vecindexhat{g}{i}}
-\newcommand{\vhih}{\vecindexhat{h}{i}}
-\newcommand{\viih}{\vecindexhat{i}{i}}
-\newcommand{\vjih}{\vecindexhat{j}{i}}
-\newcommand{\vkih}{\vecindexhat{k}{i}}
-\newcommand{\vlih}{\vecindexhat{l}{i}}
-\newcommand{\vmih}{\vecindexhat{m}{i}}
-\newcommand{\vnih}{\vecindexhat{n}{i}}
-\newcommand{\voih}{\vecindexhat{o}{i}}
-\newcommand{\vpih}{\vecindexhat{p}{i}}
-\newcommand{\vqih}{\vecindexhat{q}{i}}
-\newcommand{\vrih}{\vecindexhat{r}{i}}
-\newcommand{\vsih}{\vecindexhat{s}{i}}
-\newcommand{\vtih}{\vecindexhat{t}{i}}
-\newcommand{\vuih}{\vecindexhat{u}{i}}
-\newcommand{\vvih}{\vecindexhat{v}{i}}
-\newcommand{\vwih}{\vecindexhat{w}{i}}
-\newcommand{\vxih}{\vecindexhat{x}{i}}
-\newcommand{\vyih}{\vecindexhat{y}{i}}
-\newcommand{\vzih}{\vecindexhat{z}{i}}
-% ]]]
-% "j" (jh) [[[
-\newcommand{\vajh}{\vecindexhat{a}{j}}
-\newcommand{\vbjh}{\vecindexhat{b}{j}}
-\newcommand{\vcjh}{\vecindexhat{c}{j}}
-\newcommand{\vdjh}{\vecindexhat{d}{j}}
-\newcommand{\vejh}{\vecindexhat{e}{j}}
-\newcommand{\vfjh}{\vecindexhat{f}{j}}
-\newcommand{\vgjh}{\vecindexhat{g}{j}}
-\newcommand{\vhjh}{\vecindexhat{h}{j}}
-\newcommand{\vijh}{\vecindexhat{i}{j}}
-\newcommand{\vjjh}{\vecindexhat{j}{j}}
-\newcommand{\vkjh}{\vecindexhat{k}{j}}
-\newcommand{\vljh}{\vecindexhat{l}{j}}
-\newcommand{\vmjh}{\vecindexhat{m}{j}}
-\newcommand{\vnjh}{\vecindexhat{n}{j}}
-\newcommand{\vojh}{\vecindexhat{o}{j}}
-\newcommand{\vpjh}{\vecindexhat{p}{j}}
-\newcommand{\vqjh}{\vecindexhat{q}{j}}
-\newcommand{\vrjh}{\vecindexhat{r}{j}}
-\newcommand{\vsjh}{\vecindexhat{s}{j}}
-\newcommand{\vtjh}{\vecindexhat{t}{j}}
-\newcommand{\vujh}{\vecindexhat{u}{j}}
-\newcommand{\vvjh}{\vecindexhat{v}{j}}
-\newcommand{\vwjh}{\vecindexhat{w}{j}}
-\newcommand{\vxjh}{\vecindexhat{x}{j}}
-\newcommand{\vyjh}{\vecindexhat{y}{j}}
-\newcommand{\vzjh}{\vecindexhat{z}{j}}
-% ]]]
-% "n" (nh) [[[
-\newcommand{\vanh}{\vecindexhat{a}{n}}
-\newcommand{\vbnh}{\vecindexhat{b}{n}}
-\newcommand{\vcnh}{\vecindexhat{c}{n}}
-\newcommand{\vdnh}{\vecindexhat{d}{n}}
-\newcommand{\venh}{\vecindexhat{e}{n}}
-\newcommand{\vfnh}{\vecindexhat{f}{n}}
-\newcommand{\vgnh}{\vecindexhat{g}{n}}
-\newcommand{\vhnh}{\vecindexhat{h}{n}}
-\newcommand{\vinh}{\vecindexhat{i}{n}}
-\newcommand{\vjnh}{\vecindexhat{j}{n}}
-\newcommand{\vknh}{\vecindexhat{k}{n}}
-\newcommand{\vlnh}{\vecindexhat{l}{n}}
-\newcommand{\vmnh}{\vecindexhat{m}{n}}
-\newcommand{\vnnh}{\vecindexhat{n}{n}}
-\newcommand{\vonh}{\vecindexhat{o}{n}}
-\newcommand{\vpnh}{\vecindexhat{p}{n}}
-\newcommand{\vqnh}{\vecindexhat{q}{n}}
-\newcommand{\vrnh}{\vecindexhat{r}{n}}
-\newcommand{\vsnh}{\vecindexhat{s}{n}}
-\newcommand{\vtnh}{\vecindexhat{t}{n}}
-\newcommand{\vunh}{\vecindexhat{u}{n}}
-\newcommand{\vvnh}{\vecindexhat{v}{n}}
-\newcommand{\vwnh}{\vecindexhat{w}{n}}
-\newcommand{\vxnh}{\vecindexhat{x}{n}}
-\newcommand{\vynh}{\vecindexhat{y}{n}}
-\newcommand{\vznh}{\vecindexhat{z}{n}}
-% ]]]
-% "1" (ah) [[[
-\newcommand{\vaah}{\vecindexhat{a}{1}}
-\newcommand{\vbah}{\vecindexhat{b}{1}}
-\newcommand{\vcah}{\vecindexhat{c}{1}}
-\newcommand{\vdah}{\vecindexhat{d}{1}}
-\newcommand{\veah}{\vecindexhat{e}{1}}
-\newcommand{\vfah}{\vecindexhat{f}{1}}
-\newcommand{\vgah}{\vecindexhat{g}{1}}
-\newcommand{\vhah}{\vecindexhat{h}{1}}
-\newcommand{\viah}{\vecindexhat{i}{1}}
-\newcommand{\vjah}{\vecindexhat{j}{1}}
-\newcommand{\vkah}{\vecindexhat{k}{1}}
-\newcommand{\vlah}{\vecindexhat{l}{1}}
-\newcommand{\vmah}{\vecindexhat{m}{1}}
-\newcommand{\vnah}{\vecindexhat{n}{1}}
-\newcommand{\voah}{\vecindexhat{o}{1}}
-\newcommand{\vpah}{\vecindexhat{p}{1}}
-\newcommand{\vqah}{\vecindexhat{q}{1}}
-\newcommand{\vrah}{\vecindexhat{r}{1}}
-\newcommand{\vsah}{\vecindexhat{s}{1}}
-\newcommand{\vtah}{\vecindexhat{t}{1}}
-\newcommand{\vuah}{\vecindexhat{u}{1}}
-\newcommand{\vvah}{\vecindexhat{v}{1}}
-\newcommand{\vwah}{\vecindexhat{w}{1}}
-\newcommand{\vxah}{\vecindexhat{x}{1}}
-\newcommand{\vyah}{\vecindexhat{y}{1}}
-\newcommand{\vzah}{\vecindexhat{z}{1}}
-% ]]]
-% "2" (bh) [[[
-\newcommand{\vabh}{\vecindexhat{a}{2}}
-\newcommand{\vbbh}{\vecindexhat{b}{2}}
-\newcommand{\vcbh}{\vecindexhat{c}{2}}
-\newcommand{\vdbh}{\vecindexhat{d}{2}}
-\newcommand{\vebh}{\vecindexhat{e}{2}}
-\newcommand{\vfbh}{\vecindexhat{f}{2}}
-\newcommand{\vgbh}{\vecindexhat{g}{2}}
-\newcommand{\vhbh}{\vecindexhat{h}{2}}
-\newcommand{\vibh}{\vecindexhat{i}{2}}
-\newcommand{\vjbh}{\vecindexhat{j}{2}}
-\newcommand{\vkbh}{\vecindexhat{k}{2}}
-\newcommand{\vlbh}{\vecindexhat{l}{2}}
-\newcommand{\vmbh}{\vecindexhat{m}{2}}
-\newcommand{\vnbh}{\vecindexhat{n}{2}}
-\newcommand{\vobh}{\vecindexhat{o}{2}}
-\newcommand{\vpbh}{\vecindexhat{p}{2}}
-\newcommand{\vqbh}{\vecindexhat{q}{2}}
-\newcommand{\vrbh}{\vecindexhat{r}{2}}
-\newcommand{\vsbh}{\vecindexhat{s}{2}}
-\newcommand{\vtbh}{\vecindexhat{t}{2}}
-\newcommand{\vubh}{\vecindexhat{u}{2}}
-\newcommand{\vvbh}{\vecindexhat{v}{2}}
-\newcommand{\vwbh}{\vecindexhat{w}{2}}
-\newcommand{\vxbh}{\vecindexhat{x}{2}}
-\newcommand{\vybh}{\vecindexhat{y}{2}}
-\newcommand{\vzbh}{\vecindexhat{z}{2}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥Ï¥Ã¥È + ¥×¥é¥¤¥à (Xhp) [[[
-\newcommand{\vecindexhatprime}[2]{\vechatprime{#1}_{#2}}
-% "alpha" (aahp) [[[
-\newcommand{\vaaahp}{\vecindexhatprime{a}{\alpha}}
-\newcommand{\vbaahp}{\vecindexhatprime{b}{\alpha}}
-\newcommand{\vcaahp}{\vecindexhatprime{c}{\alpha}}
-\newcommand{\vdaahp}{\vecindexhatprime{d}{\alpha}}
-\newcommand{\veaahp}{\vecindexhatprime{e}{\alpha}}
-\newcommand{\vfaahp}{\vecindexhatprime{f}{\alpha}}
-\newcommand{\vgaahp}{\vecindexhatprime{g}{\alpha}}
-\newcommand{\vhaahp}{\vecindexhatprime{h}{\alpha}}
-\newcommand{\viaahp}{\vecindexhatprime{i}{\alpha}}
-\newcommand{\vjaahp}{\vecindexhatprime{j}{\alpha}}
-\newcommand{\vkaahp}{\vecindexhatprime{k}{\alpha}}
-\newcommand{\vlaahp}{\vecindexhatprime{l}{\alpha}}
-\newcommand{\vmaahp}{\vecindexhatprime{m}{\alpha}}
-\newcommand{\vnaahp}{\vecindexhatprime{n}{\alpha}}
-\newcommand{\voaahp}{\vecindexhatprime{o}{\alpha}}
-\newcommand{\vpaahp}{\vecindexhatprime{p}{\alpha}}
-\newcommand{\vqaahp}{\vecindexhatprime{q}{\alpha}}
-\newcommand{\vraahp}{\vecindexhatprime{r}{\alpha}}
-\newcommand{\vsaahp}{\vecindexhatprime{s}{\alpha}}
-\newcommand{\vtaahp}{\vecindexhatprime{t}{\alpha}}
-\newcommand{\vuaahp}{\vecindexhatprime{u}{\alpha}}
-\newcommand{\vvaahp}{\vecindexhatprime{v}{\alpha}}
-\newcommand{\vwaahp}{\vecindexhatprime{w}{\alpha}}
-\newcommand{\vxaahp}{\vecindexhatprime{x}{\alpha}}
-\newcommand{\vyaahp}{\vecindexhatprime{y}{\alpha}}
-\newcommand{\vzaahp}{\vecindexhatprime{z}{\alpha}}
-% ]]]
-% "i" (ihp) [[[
-\newcommand{\vaihp}{\vecindexhatprime{a}{i}}
-\newcommand{\vbihp}{\vecindexhatprime{b}{i}}
-\newcommand{\vcihp}{\vecindexhatprime{c}{i}}
-\newcommand{\vdihp}{\vecindexhatprime{d}{i}}
-\newcommand{\veihp}{\vecindexhatprime{e}{i}}
-\newcommand{\vfihp}{\vecindexhatprime{f}{i}}
-\newcommand{\vgihp}{\vecindexhatprime{g}{i}}
-\newcommand{\vhihp}{\vecindexhatprime{h}{i}}
-\newcommand{\viihp}{\vecindexhatprime{i}{i}}
-\newcommand{\vjihp}{\vecindexhatprime{j}{i}}
-\newcommand{\vkihp}{\vecindexhatprime{k}{i}}
-\newcommand{\vlihp}{\vecindexhatprime{l}{i}}
-\newcommand{\vmihp}{\vecindexhatprime{m}{i}}
-\newcommand{\vnihp}{\vecindexhatprime{n}{i}}
-\newcommand{\voihp}{\vecindexhatprime{o}{i}}
-\newcommand{\vpihp}{\vecindexhatprime{p}{i}}
-\newcommand{\vqihp}{\vecindexhatprime{q}{i}}
-\newcommand{\vrihp}{\vecindexhatprime{r}{i}}
-\newcommand{\vsihp}{\vecindexhatprime{s}{i}}
-\newcommand{\vtihp}{\vecindexhatprime{t}{i}}
-\newcommand{\vuihp}{\vecindexhatprime{u}{i}}
-\newcommand{\vvihp}{\vecindexhatprime{v}{i}}
-\newcommand{\vwihp}{\vecindexhatprime{w}{i}}
-\newcommand{\vxihp}{\vecindexhatprime{x}{i}}
-\newcommand{\vyihp}{\vecindexhatprime{y}{i}}
-\newcommand{\vzihp}{\vecindexhatprime{z}{i}}
-% ]]]
-% "j" (jhp) [[[
-\newcommand{\vajhp}{\vecindexhatprime{a}{j}}
-\newcommand{\vbjhp}{\vecindexhatprime{b}{j}}
-\newcommand{\vcjhp}{\vecindexhatprime{c}{j}}
-\newcommand{\vdjhp}{\vecindexhatprime{d}{j}}
-\newcommand{\vejhp}{\vecindexhatprime{e}{j}}
-\newcommand{\vfjhp}{\vecindexhatprime{f}{j}}
-\newcommand{\vgjhp}{\vecindexhatprime{g}{j}}
-\newcommand{\vhjhp}{\vecindexhatprime{h}{j}}
-\newcommand{\vijhp}{\vecindexhatprime{i}{j}}
-\newcommand{\vjjhp}{\vecindexhatprime{j}{j}}
-\newcommand{\vkjhp}{\vecindexhatprime{k}{j}}
-\newcommand{\vljhp}{\vecindexhatprime{l}{j}}
-\newcommand{\vmjhp}{\vecindexhatprime{m}{j}}
-\newcommand{\vnjhp}{\vecindexhatprime{n}{j}}
-\newcommand{\vojhp}{\vecindexhatprime{o}{j}}
-\newcommand{\vpjhp}{\vecindexhatprime{p}{j}}
-\newcommand{\vqjhp}{\vecindexhatprime{q}{j}}
-\newcommand{\vrjhp}{\vecindexhatprime{r}{j}}
-\newcommand{\vsjhp}{\vecindexhatprime{s}{j}}
-\newcommand{\vtjhp}{\vecindexhatprime{t}{j}}
-\newcommand{\vujhp}{\vecindexhatprime{u}{j}}
-\newcommand{\vvjhp}{\vecindexhatprime{v}{j}}
-\newcommand{\vwjhp}{\vecindexhatprime{w}{j}}
-\newcommand{\vxjhp}{\vecindexhatprime{x}{j}}
-\newcommand{\vyjhp}{\vecindexhatprime{y}{j}}
-\newcommand{\vzjhp}{\vecindexhatprime{z}{j}}
-% ]]]
-% "n" (nhp) [[[
-\newcommand{\vanhp}{\vecindexhatprime{a}{n}}
-\newcommand{\vbnhp}{\vecindexhatprime{b}{n}}
-\newcommand{\vcnhp}{\vecindexhatprime{c}{n}}
-\newcommand{\vdnhp}{\vecindexhatprime{d}{n}}
-\newcommand{\venhp}{\vecindexhatprime{e}{n}}
-\newcommand{\vfnhp}{\vecindexhatprime{f}{n}}
-\newcommand{\vgnhp}{\vecindexhatprime{g}{n}}
-\newcommand{\vhnhp}{\vecindexhatprime{h}{n}}
-\newcommand{\vinhp}{\vecindexhatprime{i}{n}}
-\newcommand{\vjnhp}{\vecindexhatprime{j}{n}}
-\newcommand{\vknhp}{\vecindexhatprime{k}{n}}
-\newcommand{\vlnhp}{\vecindexhatprime{l}{n}}
-\newcommand{\vmnhp}{\vecindexhatprime{m}{n}}
-\newcommand{\vnnhp}{\vecindexhatprime{n}{n}}
-\newcommand{\vonhp}{\vecindexhatprime{o}{n}}
-\newcommand{\vpnhp}{\vecindexhatprime{p}{n}}
-\newcommand{\vqnhp}{\vecindexhatprime{q}{n}}
-\newcommand{\vrnhp}{\vecindexhatprime{r}{n}}
-\newcommand{\vsnhp}{\vecindexhatprime{s}{n}}
-\newcommand{\vtnhp}{\vecindexhatprime{t}{n}}
-\newcommand{\vunhp}{\vecindexhatprime{u}{n}}
-\newcommand{\vvnhp}{\vecindexhatprime{v}{n}}
-\newcommand{\vwnhp}{\vecindexhatprime{w}{n}}
-\newcommand{\vxnhp}{\vecindexhatprime{x}{n}}
-\newcommand{\vynhp}{\vecindexhatprime{y}{n}}
-\newcommand{\vznhp}{\vecindexhatprime{z}{n}}
-% ]]]
-% "1" (ahp) [[[
-\newcommand{\vaahp}{\vecindexhatprime{a}{1}}
-\newcommand{\vbahp}{\vecindexhatprime{b}{1}}
-\newcommand{\vcahp}{\vecindexhatprime{c}{1}}
-\newcommand{\vdahp}{\vecindexhatprime{d}{1}}
-\newcommand{\veahp}{\vecindexhatprime{e}{1}}
-\newcommand{\vfahp}{\vecindexhatprime{f}{1}}
-\newcommand{\vgahp}{\vecindexhatprime{g}{1}}
-\newcommand{\vhahp}{\vecindexhatprime{h}{1}}
-\newcommand{\viahp}{\vecindexhatprime{i}{1}}
-\newcommand{\vjahp}{\vecindexhatprime{j}{1}}
-\newcommand{\vkahp}{\vecindexhatprime{k}{1}}
-\newcommand{\vlahp}{\vecindexhatprime{l}{1}}
-\newcommand{\vmahp}{\vecindexhatprime{m}{1}}
-\newcommand{\vnahp}{\vecindexhatprime{n}{1}}
-\newcommand{\voahp}{\vecindexhatprime{o}{1}}
-\newcommand{\vpahp}{\vecindexhatprime{p}{1}}
-\newcommand{\vqahp}{\vecindexhatprime{q}{1}}
-\newcommand{\vrahp}{\vecindexhatprime{r}{1}}
-\newcommand{\vsahp}{\vecindexhatprime{s}{1}}
-\newcommand{\vtahp}{\vecindexhatprime{t}{1}}
-\newcommand{\vuahp}{\vecindexhatprime{u}{1}}
-\newcommand{\vvahp}{\vecindexhatprime{v}{1}}
-\newcommand{\vwahp}{\vecindexhatprime{w}{1}}
-\newcommand{\vxahp}{\vecindexhatprime{x}{1}}
-\newcommand{\vyahp}{\vecindexhatprime{y}{1}}
-\newcommand{\vzahp}{\vecindexhatprime{z}{1}}
-% ]]]
-% "2" (bhp) [[[
-\newcommand{\vabhp}{\vecindexhatprime{a}{2}}
-\newcommand{\vbbhp}{\vecindexhatprime{b}{2}}
-\newcommand{\vcbhp}{\vecindexhatprime{c}{2}}
-\newcommand{\vdbhp}{\vecindexhatprime{d}{2}}
-\newcommand{\vebhp}{\vecindexhatprime{e}{2}}
-\newcommand{\vfbhp}{\vecindexhatprime{f}{2}}
-\newcommand{\vgbhp}{\vecindexhatprime{g}{2}}
-\newcommand{\vhbhp}{\vecindexhatprime{h}{2}}
-\newcommand{\vibhp}{\vecindexhatprime{i}{2}}
-\newcommand{\vjbhp}{\vecindexhatprime{j}{2}}
-\newcommand{\vkbhp}{\vecindexhatprime{k}{2}}
-\newcommand{\vlbhp}{\vecindexhatprime{l}{2}}
-\newcommand{\vmbhp}{\vecindexhatprime{m}{2}}
-\newcommand{\vnbhp}{\vecindexhatprime{n}{2}}
-\newcommand{\vobhp}{\vecindexhatprime{o}{2}}
-\newcommand{\vpbhp}{\vecindexhatprime{p}{2}}
-\newcommand{\vqbhp}{\vecindexhatprime{q}{2}}
-\newcommand{\vrbhp}{\vecindexhatprime{r}{2}}
-\newcommand{\vsbhp}{\vecindexhatprime{s}{2}}
-\newcommand{\vtbhp}{\vecindexhatprime{t}{2}}
-\newcommand{\vubhp}{\vecindexhatprime{u}{2}}
-\newcommand{\vvbhp}{\vecindexhatprime{v}{2}}
-\newcommand{\vwbhp}{\vecindexhatprime{w}{2}}
-\newcommand{\vxbhp}{\vecindexhatprime{x}{2}}
-\newcommand{\vybhp}{\vecindexhatprime{y}{2}}
-\newcommand{\vzbhp}{\vecindexhatprime{z}{2}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥Ð¡¼ (barX) [[[
-\newcommand{\vecbarindex}[2]{\vecbar{#1}_{#2}}
-% "i" (bari) [[[
-\newcommand{\vabari}{\vecbarindex{a}{i}}
-\newcommand{\vbbari}{\vecbarindex{b}{i}}
-\newcommand{\vcbari}{\vecbarindex{c}{i}}
-\newcommand{\vdbari}{\vecbarindex{d}{i}}
-\newcommand{\vebari}{\vecbarindex{e}{i}}
-\newcommand{\vfbari}{\vecbarindex{f}{i}}
-\newcommand{\vgbari}{\vecbarindex{g}{i}}
-\newcommand{\vhbari}{\vecbarindex{h}{i}}
-\newcommand{\vibari}{\vecbarindex{i}{i}}
-\newcommand{\vjbari}{\vecbarindex{j}{i}}
-\newcommand{\vkbari}{\vecbarindex{k}{i}}
-\newcommand{\vlbari}{\vecbarindex{l}{i}}
-\newcommand{\vmbari}{\vecbarindex{m}{i}}
-\newcommand{\vnbari}{\vecbarindex{n}{i}}
-\newcommand{\vobari}{\vecbarindex{o}{i}}
-\newcommand{\vpbari}{\vecbarindex{p}{i}}
-\newcommand{\vqbari}{\vecbarindex{q}{i}}
-\newcommand{\vrbari}{\vecbarindex{r}{i}}
-\newcommand{\vsbari}{\vecbarindex{s}{i}}
-\newcommand{\vtbari}{\vecbarindex{t}{i}}
-\newcommand{\vubari}{\vecbarindex{u}{i}}
-\newcommand{\vvbari}{\vecbarindex{v}{i}}
-\newcommand{\vwbari}{\vecbarindex{w}{i}}
-\newcommand{\vxbari}{\vecbarindex{x}{i}}
-\newcommand{\vybari}{\vecbarindex{y}{i}}
-\newcommand{\vzbari}{\vecbarindex{z}{i}}
-% ]]]
-% "1" (bara) [[[
-\newcommand{\vabara}{\vecbarindex{a}{1}}
-\newcommand{\vbbara}{\vecbarindex{b}{1}}
-\newcommand{\vcbara}{\vecbarindex{c}{1}}
-\newcommand{\vdbara}{\vecbarindex{d}{1}}
-\newcommand{\vebara}{\vecbarindex{e}{1}}
-\newcommand{\vfbara}{\vecbarindex{f}{1}}
-\newcommand{\vgbara}{\vecbarindex{g}{1}}
-\newcommand{\vhbara}{\vecbarindex{h}{1}}
-\newcommand{\vibara}{\vecbarindex{i}{1}}
-\newcommand{\vjbara}{\vecbarindex{j}{1}}
-\newcommand{\vkbara}{\vecbarindex{k}{1}}
-\newcommand{\vlbara}{\vecbarindex{l}{1}}
-\newcommand{\vmbara}{\vecbarindex{m}{1}}
-\newcommand{\vnbara}{\vecbarindex{n}{1}}
-\newcommand{\vobara}{\vecbarindex{o}{1}}
-\newcommand{\vpbara}{\vecbarindex{p}{1}}
-\newcommand{\vqbara}{\vecbarindex{q}{1}}
-\newcommand{\vrbara}{\vecbarindex{r}{1}}
-\newcommand{\vsbara}{\vecbarindex{s}{1}}
-\newcommand{\vtbara}{\vecbarindex{t}{1}}
-\newcommand{\vubara}{\vecbarindex{u}{1}}
-\newcommand{\vvbara}{\vecbarindex{v}{1}}
-\newcommand{\vwbara}{\vecbarindex{w}{1}}
-\newcommand{\vxbara}{\vecbarindex{x}{1}}
-\newcommand{\vybara}{\vecbarindex{y}{1}}
-\newcommand{\vzbara}{\vecbarindex{z}{1}}
-% ]]]
-% "2" (barb) [[[
-\newcommand{\vabarb}{\vecbarindex{a}{2}}
-\newcommand{\vbbarb}{\vecbarindex{b}{2}}
-\newcommand{\vcbarb}{\vecbarindex{c}{2}}
-\newcommand{\vdbarb}{\vecbarindex{d}{2}}
-\newcommand{\vebarb}{\vecbarindex{e}{2}}
-\newcommand{\vfbarb}{\vecbarindex{f}{2}}
-\newcommand{\vgbarb}{\vecbarindex{g}{2}}
-\newcommand{\vhbarb}{\vecbarindex{h}{2}}
-\newcommand{\vibarb}{\vecbarindex{i}{2}}
-\newcommand{\vjbarb}{\vecbarindex{j}{2}}
-\newcommand{\vkbarb}{\vecbarindex{k}{2}}
-\newcommand{\vlbarb}{\vecbarindex{l}{2}}
-\newcommand{\vmbarb}{\vecbarindex{m}{2}}
-\newcommand{\vnbarb}{\vecbarindex{n}{2}}
-\newcommand{\vobarb}{\vecbarindex{o}{2}}
-\newcommand{\vpbarb}{\vecbarindex{p}{2}}
-\newcommand{\vqbarb}{\vecbarindex{q}{2}}
-\newcommand{\vrbarb}{\vecbarindex{r}{2}}
-\newcommand{\vsbarb}{\vecbarindex{s}{2}}
-\newcommand{\vtbarb}{\vecbarindex{t}{2}}
-\newcommand{\vubarb}{\vecbarindex{u}{2}}
-\newcommand{\vvbarb}{\vecbarindex{v}{2}}
-\newcommand{\vwbarb}{\vecbarindex{w}{2}}
-\newcommand{\vxbarb}{\vecbarindex{x}{2}}
-\newcommand{\vybarb}{\vecbarindex{y}{2}}
-\newcommand{\vzbarb}{\vecbarindex{z}{2}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥Ð¡¼ + ¥×¥é¥¤¥à (pbarX) [[[
-\newcommand{\vecbarindexprime}[2]{\vecbarprime{#1}_{#2}}
-% "i" (pbari) [[[
-\newcommand{\vapbari}{\vecbarindexprime{a}{i}}
-\newcommand{\vbpbari}{\vecbarindexprime{b}{i}}
-\newcommand{\vcpbari}{\vecbarindexprime{c}{i}}
-\newcommand{\vdpbari}{\vecbarindexprime{d}{i}}
-\newcommand{\vepbari}{\vecbarindexprime{e}{i}}
-\newcommand{\vfpbari}{\vecbarindexprime{f}{i}}
-\newcommand{\vgpbari}{\vecbarindexprime{g}{i}}
-\newcommand{\vhpbari}{\vecbarindexprime{h}{i}}
-\newcommand{\vipbari}{\vecbarindexprime{i}{i}}
-\newcommand{\vjpbari}{\vecbarindexprime{j}{i}}
-\newcommand{\vkpbari}{\vecbarindexprime{k}{i}}
-\newcommand{\vlpbari}{\vecbarindexprime{l}{i}}
-\newcommand{\vmpbari}{\vecbarindexprime{m}{i}}
-\newcommand{\vnpbari}{\vecbarindexprime{n}{i}}
-\newcommand{\vopbari}{\vecbarindexprime{o}{i}}
-\newcommand{\vppbari}{\vecbarindexprime{p}{i}}
-\newcommand{\vqpbari}{\vecbarindexprime{q}{i}}
-\newcommand{\vrpbari}{\vecbarindexprime{r}{i}}
-\newcommand{\vspbari}{\vecbarindexprime{s}{i}}
-\newcommand{\vtpbari}{\vecbarindexprime{t}{i}}
-\newcommand{\vupbari}{\vecbarindexprime{u}{i}}
-\newcommand{\vvpbari}{\vecbarindexprime{v}{i}}
-\newcommand{\vwpbari}{\vecbarindexprime{w}{i}}
-\newcommand{\vxpbari}{\vecbarindexprime{x}{i}}
-\newcommand{\vypbari}{\vecbarindexprime{y}{i}}
-\newcommand{\vzpbari}{\vecbarindexprime{z}{i}}
-% ]]]
-% "1" (pbara) [[[
-\newcommand{\vapbara}{\vecbarindexprime{a}{1}}
-\newcommand{\vbpbara}{\vecbarindexprime{b}{1}}
-\newcommand{\vcpbara}{\vecbarindexprime{c}{1}}
-\newcommand{\vdpbara}{\vecbarindexprime{d}{1}}
-\newcommand{\vepbara}{\vecbarindexprime{e}{1}}
-\newcommand{\vfpbara}{\vecbarindexprime{f}{1}}
-\newcommand{\vgpbara}{\vecbarindexprime{g}{1}}
-\newcommand{\vhpbara}{\vecbarindexprime{h}{1}}
-\newcommand{\vipbara}{\vecbarindexprime{i}{1}}
-\newcommand{\vjpbara}{\vecbarindexprime{j}{1}}
-\newcommand{\vkpbara}{\vecbarindexprime{k}{1}}
-\newcommand{\vlpbara}{\vecbarindexprime{l}{1}}
-\newcommand{\vmpbara}{\vecbarindexprime{m}{1}}
-\newcommand{\vnpbara}{\vecbarindexprime{n}{1}}
-\newcommand{\vopbara}{\vecbarindexprime{o}{1}}
-\newcommand{\vppbara}{\vecbarindexprime{p}{1}}
-\newcommand{\vqpbara}{\vecbarindexprime{q}{1}}
-\newcommand{\vrpbara}{\vecbarindexprime{r}{1}}
-\newcommand{\vspbara}{\vecbarindexprime{s}{1}}
-\newcommand{\vtpbara}{\vecbarindexprime{t}{1}}
-\newcommand{\vupbara}{\vecbarindexprime{u}{1}}
-\newcommand{\vvpbara}{\vecbarindexprime{v}{1}}
-\newcommand{\vwpbara}{\vecbarindexprime{w}{1}}
-\newcommand{\vxpbara}{\vecbarindexprime{x}{1}}
-\newcommand{\vypbara}{\vecbarindexprime{y}{1}}
-\newcommand{\vzpbara}{\vecbarindexprime{z}{1}}
-% ]]]
-% "2" (pbarb) [[[
-\newcommand{\vapbarb}{\vecbarindexprime{a}{2}}
-\newcommand{\vbpbarb}{\vecbarindexprime{b}{2}}
-\newcommand{\vcpbarb}{\vecbarindexprime{c}{2}}
-\newcommand{\vdpbarb}{\vecbarindexprime{d}{2}}
-\newcommand{\vepbarb}{\vecbarindexprime{e}{2}}
-\newcommand{\vfpbarb}{\vecbarindexprime{f}{2}}
-\newcommand{\vgpbarb}{\vecbarindexprime{g}{2}}
-\newcommand{\vhpbarb}{\vecbarindexprime{h}{2}}
-\newcommand{\vipbarb}{\vecbarindexprime{i}{2}}
-\newcommand{\vjpbarb}{\vecbarindexprime{j}{2}}
-\newcommand{\vkpbarb}{\vecbarindexprime{k}{2}}
-\newcommand{\vlpbarb}{\vecbarindexprime{l}{2}}
-\newcommand{\vmpbarb}{\vecbarindexprime{m}{2}}
-\newcommand{\vnpbarb}{\vecbarindexprime{n}{2}}
-\newcommand{\vopbarb}{\vecbarindexprime{o}{2}}
-\newcommand{\vppbarb}{\vecbarindexprime{p}{2}}
-\newcommand{\vqpbarb}{\vecbarindexprime{q}{2}}
-\newcommand{\vrpbarb}{\vecbarindexprime{r}{2}}
-\newcommand{\vspbarb}{\vecbarindexprime{s}{2}}
-\newcommand{\vtpbarb}{\vecbarindexprime{t}{2}}
-\newcommand{\vupbarb}{\vecbarindexprime{u}{2}}
-\newcommand{\vvpbarb}{\vecbarindexprime{v}{2}}
-\newcommand{\vwpbarb}{\vecbarindexprime{w}{2}}
-\newcommand{\vxpbarb}{\vecbarindexprime{x}{2}}
-\newcommand{\vypbarb}{\vecbarindexprime{y}{2}}
-\newcommand{\vzpbarb}{\vecbarindexprime{z}{2}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + Å¾ÃÖ (t) [[[
-\newcommand{\vectranspose}[1]{\myvector{#1}\!^{\top}}  % ¶õÇòÄ´À°Æþ¤ê
-\newcommand{\vat}{\vectranspose{a}}
-\newcommand{\vbt}{\vectranspose{b}}
-\newcommand{\vct}{\vectranspose{c}}
-\newcommand{\vdt}{\vectranspose{d}}
-\newcommand{\vet}{\vectranspose{e}}
-\newcommand{\vft}{\vectranspose{f}}
-\newcommand{\vgt}{\vectranspose{g}}
-\newcommand{\vht}{\vectranspose{h}}
-\newcommand{\vit}{\vectranspose{i}}
-\newcommand{\vjt}{\vectranspose{j}}
-\newcommand{\vkt}{\vectranspose{k}}
-\newcommand{\vlt}{\vectranspose{l}}
-\newcommand{\vmt}{\vectranspose{m}}
-\newcommand{\vnt}{\vectranspose{n}}
-\newcommand{\vot}{\vectranspose{o}}
-\newcommand{\vPt}{\vectranspose{p}}
-\newcommand{\vqt}{\vectranspose{q}}
-\newcommand{\vrt}{\vectranspose{r}}
-\newcommand{\vst}{\vectranspose{s}}
-\newcommand{\vtt}{\vectranspose{t}}
-\newcommand{\vut}{\vectranspose{u}}
-\newcommand{\vvt}{\vectranspose{v}}
-\newcommand{\vwt}{\vectranspose{w}}
-\newcommand{\vxt}{\vectranspose{x}}
-\newcommand{\vyt}{\vectranspose{y}}
-\newcommand{\vzt}{\vectranspose{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥×¥é¥¤¥à + Å¾ÃÖ (pt) [[[
-\newcommand{\vecprimetranspose}[1]{\vecprime{#1}\!^{\top}}     % ¶õÇòÄ´À°Æþ¤ê
-\newcommand{\vapt}{\vecprimetranspose{a}}
-\newcommand{\vbpt}{\vecprimetranspose{b}}
-\newcommand{\vcpt}{\vecprimetranspose{c}}
-\newcommand{\vdpt}{\vecprimetranspose{d}}
-\newcommand{\vept}{\vecprimetranspose{e}}
-\newcommand{\vfpt}{\vecprimetranspose{f}}
-\newcommand{\vgpt}{\vecprimetranspose{g}}
-\newcommand{\vhpt}{\vecprimetranspose{h}}
-\newcommand{\vIpt}{\vecprimetranspose{i}}
-\newcommand{\vjpt}{\vecprimetranspose{j}}
-\newcommand{\vkpt}{\vecprimetranspose{k}}
-\newcommand{\vlpt}{\vecprimetranspose{l}}
-\newcommand{\vmpt}{\vecprimetranspose{m}}
-\newcommand{\vnpt}{\vecprimetranspose{n}}
-\newcommand{\vopt}{\vecprimetranspose{o}}
-\newcommand{\vppt}{\vecprimetranspose{p}}
-\newcommand{\vqpt}{\vecprimetranspose{q}}
-\newcommand{\vrpt}{\vecprimetranspose{r}}
-\newcommand{\vspt}{\vecprimetranspose{s}}
-\newcommand{\vtpt}{\vecprimetranspose{t}}
-\newcommand{\vupt}{\vecprimetranspose{u}}
-\newcommand{\vvpt}{\vecprimetranspose{v}}
-\newcommand{\vwpt}{\vecprimetranspose{w}}
-\newcommand{\vxpt}{\vecprimetranspose{x}}
-\newcommand{\vypt}{\vecprimetranspose{y}}
-\newcommand{\vzpt}{\vecprimetranspose{z}}
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + Å¾ÃÖ (Xt) [[[
-\newcommand{\vecindextranspose}[2]{\vecindex{#1}{#2}\!\!^{\top}}       % ¶õÇòÄ´À°Æþ¤ê
-% "i" (it) [[[
-\newcommand{\vait}{\vecindextranspose{a}{i}}
-\newcommand{\vbit}{\vecindextranspose{b}{i}}
-\newcommand{\vcit}{\vecindextranspose{c}{i}}
-\newcommand{\vdit}{\vecindextranspose{d}{i}}
-\newcommand{\veit}{\vecindextranspose{e}{i}}
-\newcommand{\vfit}{\vecindextranspose{f}{i}}
-\newcommand{\vgit}{\vecindextranspose{g}{i}}
-\newcommand{\vhit}{\vecindextranspose{h}{i}}
-\newcommand{\viit}{\vecindextranspose{i}{i}}
-\newcommand{\vjit}{\vecindextranspose{j}{i}}
-\newcommand{\vkit}{\vecindextranspose{k}{i}}
-\newcommand{\vlit}{\vecindextranspose{l}{i}}
-\newcommand{\vmit}{\vecindextranspose{m}{i}}
-\newcommand{\vnit}{\vecindextranspose{n}{i}}
-\newcommand{\voit}{\vecindextranspose{o}{i}}
-\newcommand{\vpit}{\vecindextranspose{p}{i}}
-\newcommand{\vqit}{\vecindextranspose{q}{i}}
-\newcommand{\vrit}{\vecindextranspose{r}{i}}
-\newcommand{\vsit}{\vecindextranspose{s}{i}}
-\newcommand{\vtit}{\vecindextranspose{t}{i}}
-\newcommand{\vuit}{\vecindextranspose{u}{i}}
-\newcommand{\vvit}{\vecindextranspose{v}{i}}
-\newcommand{\vwit}{\vecindextranspose{w}{i}}
-\newcommand{\vxit}{\vecindextranspose{x}{i}}
-\newcommand{\vyit}{\vecindextranspose{y}{i}}
-\newcommand{\vzit}{\vecindextranspose{z}{i}}
-% ]]]
-% "j" (jt) [[[
-\newcommand{\vajt}{\vecindextranspose{a}{j}}
-\newcommand{\vbjt}{\vecindextranspose{b}{j}}
-\newcommand{\vcjt}{\vecindextranspose{c}{j}}
-\newcommand{\vdjt}{\vecindextranspose{d}{j}}
-\newcommand{\vejt}{\vecindextranspose{e}{j}}
-\newcommand{\vfjt}{\vecindextranspose{f}{j}}
-\newcommand{\vgjt}{\vecindextranspose{g}{j}}
-\newcommand{\vhjt}{\vecindextranspose{h}{j}}
-\newcommand{\vijt}{\vecindextranspose{i}{j}}
-\newcommand{\vjjt}{\vecindextranspose{j}{j}}
-\newcommand{\vkjt}{\vecindextranspose{k}{j}}
-\newcommand{\vljt}{\vecindextranspose{l}{j}}
-\newcommand{\vmjt}{\vecindextranspose{m}{j}}
-\newcommand{\vnjt}{\vecindextranspose{n}{j}}
-\newcommand{\vojt}{\vecindextranspose{o}{j}}
-\newcommand{\vpjt}{\vecindextranspose{p}{j}}
-\newcommand{\vqjt}{\vecindextranspose{q}{j}}
-\newcommand{\vrjt}{\vecindextranspose{r}{j}}
-\newcommand{\vsjt}{\vecindextranspose{s}{j}}
-\newcommand{\vtjt}{\vecindextranspose{t}{j}}
-\newcommand{\vujt}{\vecindextranspose{u}{j}}
-\newcommand{\vvjt}{\vecindextranspose{v}{j}}
-\newcommand{\vwjt}{\vecindextranspose{w}{j}}
-\newcommand{\vxjt}{\vecindextranspose{x}{j}}
-\newcommand{\vyjt}{\vecindextranspose{y}{j}}
-\newcommand{\vzjt}{\vecindextranspose{z}{j}}
-% ]]]
-% "n" (nt) [[[
-\newcommand{\vant}{\vecindextranspose{a}{n}}
-\newcommand{\vbnt}{\vecindextranspose{b}{n}}
-\newcommand{\vcnt}{\vecindextranspose{c}{n}}
-\newcommand{\vdnt}{\vecindextranspose{d}{n}}
-\newcommand{\vent}{\vecindextranspose{e}{n}}
-\newcommand{\vfnt}{\vecindextranspose{f}{n}}
-\newcommand{\vgnt}{\vecindextranspose{g}{n}}
-\newcommand{\vhnt}{\vecindextranspose{h}{n}}
-\newcommand{\vint}{\vecindextranspose{i}{n}}
-\newcommand{\vjnt}{\vecindextranspose{j}{n}}
-\newcommand{\vknt}{\vecindextranspose{k}{n}}
-\newcommand{\vlnt}{\vecindextranspose{l}{n}}
-\newcommand{\vmnt}{\vecindextranspose{m}{n}}
-\newcommand{\vnnt}{\vecindextranspose{n}{n}}
-\newcommand{\vont}{\vecindextranspose{o}{n}}
-\newcommand{\vpnt}{\vecindextranspose{p}{n}}
-\newcommand{\vqnt}{\vecindextranspose{q}{n}}
-\newcommand{\vrnt}{\vecindextranspose{r}{n}}
-\newcommand{\vsnt}{\vecindextranspose{s}{n}}
-\newcommand{\vtnt}{\vecindextranspose{t}{n}}
-\newcommand{\vunt}{\vecindextranspose{u}{n}}
-\newcommand{\vvnt}{\vecindextranspose{v}{n}}
-\newcommand{\vwnt}{\vecindextranspose{w}{n}}
-\newcommand{\vxnt}{\vecindextranspose{x}{n}}
-\newcommand{\vynt}{\vecindextranspose{y}{n}}
-\newcommand{\vznt}{\vecindextranspose{z}{n}}
-% ]]]
-% "0" (zt) [[[
-\newcommand{\vazt}{\vecindextranspose{a}{0}}
-\newcommand{\vbzt}{\vecindextranspose{b}{0}}
-\newcommand{\vczt}{\vecindextranspose{c}{0}}
-\newcommand{\vdzt}{\vecindextranspose{d}{0}}
-\newcommand{\vezt}{\vecindextranspose{e}{0}}
-\newcommand{\vfzt}{\vecindextranspose{f}{0}}
-\newcommand{\vgzt}{\vecindextranspose{g}{0}}
-\newcommand{\vhzt}{\vecindextranspose{h}{0}}
-\newcommand{\vizt}{\vecindextranspose{i}{0}}
-\newcommand{\vjzt}{\vecindextranspose{j}{0}}
-\newcommand{\vkzt}{\vecindextranspose{k}{0}}
-\newcommand{\vlzt}{\vecindextranspose{l}{0}}
-\newcommand{\vmzt}{\vecindextranspose{m}{0}}
-\newcommand{\vnzt}{\vecindextranspose{n}{0}}
-\newcommand{\vozt}{\vecindextranspose{o}{0}}
-\newcommand{\vpzt}{\vecindextranspose{p}{0}}
-\newcommand{\vqzt}{\vecindextranspose{q}{0}}
-\newcommand{\vrzt}{\vecindextranspose{r}{0}}
-\newcommand{\vszt}{\vecindextranspose{s}{0}}
-\newcommand{\vtzt}{\vecindextranspose{t}{0}}
-\newcommand{\vuzt}{\vecindextranspose{u}{0}}
-\newcommand{\vvzt}{\vecindextranspose{v}{0}}
-\newcommand{\vwzt}{\vecindextranspose{w}{0}}
-\newcommand{\vxzt}{\vecindextranspose{x}{0}}
-\newcommand{\vyzt}{\vecindextranspose{y}{0}}
-\newcommand{\vzzt}{\vecindextranspose{z}{0}}
-% ]]]
-% "1" (at) [[[
-\newcommand{\vaat}{\vecindextranspose{a}{1}}
-\newcommand{\vbat}{\vecindextranspose{b}{1}}
-\newcommand{\vcat}{\vecindextranspose{c}{1}}
-\newcommand{\vdat}{\vecindextranspose{d}{1}}
-\newcommand{\veat}{\vecindextranspose{e}{1}}
-\newcommand{\vfat}{\vecindextranspose{f}{1}}
-\newcommand{\vgat}{\vecindextranspose{g}{1}}
-\newcommand{\vhat}{\vecindextranspose{h}{1}}
-\newcommand{\viat}{\vecindextranspose{i}{1}}
-\newcommand{\vjat}{\vecindextranspose{j}{1}}
-\newcommand{\vkat}{\vecindextranspose{k}{1}}
-\newcommand{\vlat}{\vecindextranspose{l}{1}}
-\newcommand{\vmat}{\vecindextranspose{m}{1}}
-\newcommand{\vnat}{\vecindextranspose{n}{1}}
-\newcommand{\voat}{\vecindextranspose{o}{1}}
-\newcommand{\vpat}{\vecindextranspose{p}{1}}
-\newcommand{\vqat}{\vecindextranspose{q}{1}}
-\newcommand{\vrat}{\vecindextranspose{r}{1}}
-\newcommand{\vsat}{\vecindextranspose{s}{1}}
-\newcommand{\vtat}{\vecindextranspose{t}{1}}
-\newcommand{\vuat}{\vecindextranspose{u}{1}}
-\newcommand{\vvat}{\vecindextranspose{v}{1}}
-\newcommand{\vwat}{\vecindextranspose{w}{1}}
-\newcommand{\vxat}{\vecindextranspose{x}{1}}
-\newcommand{\vyat}{\vecindextranspose{y}{1}}
-\newcommand{\vzat}{\vecindextranspose{z}{1}}
-% ]]]
-% "2" (bt) [[[
-\newcommand{\vabt}{\vecindextranspose{a}{2}}
-\newcommand{\vbbt}{\vecindextranspose{b}{2}}
-\newcommand{\vcbt}{\vecindextranspose{c}{2}}
-\newcommand{\vdbt}{\vecindextranspose{d}{2}}
-\newcommand{\vebt}{\vecindextranspose{e}{2}}
-\newcommand{\vfbt}{\vecindextranspose{f}{2}}
-\newcommand{\vgbt}{\vecindextranspose{g}{2}}
-\newcommand{\vhbt}{\vecindextranspose{h}{2}}
-\newcommand{\vibt}{\vecindextranspose{i}{2}}
-\newcommand{\vjbt}{\vecindextranspose{j}{2}}
-\newcommand{\vkbt}{\vecindextranspose{k}{2}}
-\newcommand{\vlbt}{\vecindextranspose{l}{2}}
-\newcommand{\vmbt}{\vecindextranspose{m}{2}}
-\newcommand{\vnbt}{\vecindextranspose{n}{2}}
-\newcommand{\vobt}{\vecindextranspose{o}{2}}
-\newcommand{\vpbt}{\vecindextranspose{p}{2}}
-\newcommand{\vqbt}{\vecindextranspose{q}{2}}
-\newcommand{\vrbt}{\vecindextranspose{r}{2}}
-\newcommand{\vsbt}{\vecindextranspose{s}{2}}
-\newcommand{\vtbt}{\vecindextranspose{t}{2}}
-\newcommand{\vubt}{\vecindextranspose{u}{2}}
-\newcommand{\vvbt}{\vecindextranspose{v}{2}}
-\newcommand{\vwbt}{\vecindextranspose{w}{2}}
-\newcommand{\vxbt}{\vecindextranspose{x}{2}}
-\newcommand{\vybt}{\vecindextranspose{y}{2}}
-\newcommand{\vzbt}{\vecindextranspose{z}{2}}
-% ]]]
-% "3" (ct) [[[
-\newcommand{\vact}{\vecindextranspose{a}{3}}
-\newcommand{\vbct}{\vecindextranspose{b}{3}}
-\newcommand{\vcct}{\vecindextranspose{c}{3}}
-\newcommand{\vdct}{\vecindextranspose{d}{3}}
-\newcommand{\vect}{\vecindextranspose{e}{3}}
-\newcommand{\vfct}{\vecindextranspose{f}{3}}
-\newcommand{\vgct}{\vecindextranspose{g}{3}}
-\newcommand{\vhct}{\vecindextranspose{h}{3}}
-\newcommand{\vict}{\vecindextranspose{i}{3}}
-\newcommand{\vjct}{\vecindextranspose{j}{3}}
-\newcommand{\vkct}{\vecindextranspose{k}{3}}
-\newcommand{\vlct}{\vecindextranspose{l}{3}}
-\newcommand{\vmct}{\vecindextranspose{m}{3}}
-\newcommand{\vnct}{\vecindextranspose{n}{3}}
-\newcommand{\voct}{\vecindextranspose{o}{3}}
-\newcommand{\vpct}{\vecindextranspose{p}{3}}
-\newcommand{\vqct}{\vecindextranspose{q}{3}}
-\newcommand{\vrct}{\vecindextranspose{r}{3}}
-\newcommand{\vsct}{\vecindextranspose{s}{3}}
-\newcommand{\vtct}{\vecindextranspose{t}{3}}
-\newcommand{\vuct}{\vecindextranspose{u}{3}}
-\newcommand{\vvct}{\vecindextranspose{v}{3}}
-\newcommand{\vwct}{\vecindextranspose{w}{3}}
-\newcommand{\vxct}{\vecindextranspose{x}{3}}
-\newcommand{\vyct}{\vecindextranspose{y}{3}}
-\newcommand{\vzct}{\vecindextranspose{z}{3}}
-% ]]]
-% "01" (zat) [[[
-\newcommand{\vazat}{\vecindextranspose{a}{01}}
-\newcommand{\vbzat}{\vecindextranspose{b}{01}}
-\newcommand{\vczat}{\vecindextranspose{c}{01}}
-\newcommand{\vdzat}{\vecindextranspose{d}{01}}
-\newcommand{\vezat}{\vecindextranspose{e}{01}}
-\newcommand{\vfzat}{\vecindextranspose{f}{01}}
-\newcommand{\vgzat}{\vecindextranspose{g}{01}}
-\newcommand{\vhzat}{\vecindextranspose{h}{01}}
-\newcommand{\vizat}{\vecindextranspose{i}{01}}
-\newcommand{\vjzat}{\vecindextranspose{j}{01}}
-\newcommand{\vkzat}{\vecindextranspose{k}{01}}
-\newcommand{\vlzat}{\vecindextranspose{l}{01}}
-\newcommand{\vmzat}{\vecindextranspose{m}{01}}
-\newcommand{\vnzat}{\vecindextranspose{n}{01}}
-\newcommand{\vozat}{\vecindextranspose{o}{01}}
-\newcommand{\vpzat}{\vecindextranspose{p}{01}}
-\newcommand{\vqzat}{\vecindextranspose{q}{01}}
-\newcommand{\vrzat}{\vecindextranspose{r}{01}}
-\newcommand{\vszat}{\vecindextranspose{s}{01}}
-\newcommand{\vtzat}{\vecindextranspose{t}{01}}
-\newcommand{\vuzat}{\vecindextranspose{u}{01}}
-\newcommand{\vvzat}{\vecindextranspose{v}{01}}
-\newcommand{\vwzat}{\vecindextranspose{w}{01}}
-\newcommand{\vxzat}{\vecindextranspose{x}{01}}
-\newcommand{\vyzat}{\vecindextranspose{y}{01}}
-\newcommand{\vzzat}{\vecindextranspose{z}{01}}
-% ]]]
-% "02" (zbt) [[[
-\newcommand{\vazbt}{\vecindextranspose{a}{02}}
-\newcommand{\vbzbt}{\vecindextranspose{b}{02}}
-\newcommand{\vczbt}{\vecindextranspose{c}{02}}
-\newcommand{\vdzbt}{\vecindextranspose{d}{02}}
-\newcommand{\vezbt}{\vecindextranspose{e}{02}}
-\newcommand{\vfzbt}{\vecindextranspose{f}{02}}
-\newcommand{\vgzbt}{\vecindextranspose{g}{02}}
-\newcommand{\vhzbt}{\vecindextranspose{h}{02}}
-\newcommand{\vizbt}{\vecindextranspose{i}{02}}
-\newcommand{\vjzbt}{\vecindextranspose{j}{02}}
-\newcommand{\vkzbt}{\vecindextranspose{k}{02}}
-\newcommand{\vlzbt}{\vecindextranspose{l}{02}}
-\newcommand{\vmzbt}{\vecindextranspose{m}{02}}
-\newcommand{\vnzbt}{\vecindextranspose{n}{02}}
-\newcommand{\vozbt}{\vecindextranspose{o}{02}}
-\newcommand{\vpzbt}{\vecindextranspose{p}{02}}
-\newcommand{\vqzbt}{\vecindextranspose{q}{02}}
-\newcommand{\vrzbt}{\vecindextranspose{r}{02}}
-\newcommand{\vszbt}{\vecindextranspose{s}{02}}
-\newcommand{\vtzbt}{\vecindextranspose{t}{02}}
-\newcommand{\vuzbt}{\vecindextranspose{u}{02}}
-\newcommand{\vvzbt}{\vecindextranspose{v}{02}}
-\newcommand{\vwzbt}{\vecindextranspose{w}{02}}
-\newcommand{\vxzbt}{\vecindextranspose{x}{02}}
-\newcommand{\vyzbt}{\vecindextranspose{y}{02}}
-\newcommand{\vzzbt}{\vecindextranspose{z}{02}}
-% ]]]
-% "03" (zct) [[[
-\newcommand{\vazct}{\vecindextranspose{a}{03}}
-\newcommand{\vbzct}{\vecindextranspose{b}{03}}
-\newcommand{\vczct}{\vecindextranspose{c}{03}}
-\newcommand{\vdzct}{\vecindextranspose{d}{03}}
-\newcommand{\vezct}{\vecindextranspose{e}{03}}
-\newcommand{\vfzct}{\vecindextranspose{f}{03}}
-\newcommand{\vgzct}{\vecindextranspose{g}{03}}
-\newcommand{\vhzct}{\vecindextranspose{h}{03}}
-\newcommand{\vizct}{\vecindextranspose{i}{03}}
-\newcommand{\vjzct}{\vecindextranspose{j}{03}}
-\newcommand{\vkzct}{\vecindextranspose{k}{03}}
-\newcommand{\vlzct}{\vecindextranspose{l}{03}}
-\newcommand{\vmzct}{\vecindextranspose{m}{03}}
-\newcommand{\vnzct}{\vecindextranspose{n}{03}}
-\newcommand{\vozct}{\vecindextranspose{o}{03}}
-\newcommand{\vpzct}{\vecindextranspose{p}{03}}
-\newcommand{\vqzct}{\vecindextranspose{q}{03}}
-\newcommand{\vrzct}{\vecindextranspose{r}{03}}
-\newcommand{\vszct}{\vecindextranspose{s}{03}}
-\newcommand{\vtzct}{\vecindextranspose{t}{03}}
-\newcommand{\vuzct}{\vecindextranspose{u}{03}}
-\newcommand{\vvzct}{\vecindextranspose{v}{03}}
-\newcommand{\vwzct}{\vecindextranspose{w}{03}}
-\newcommand{\vxzct}{\vecindextranspose{x}{03}}
-\newcommand{\vyzct}{\vecindextranspose{y}{03}}
-\newcommand{\vzzct}{\vecindextranspose{z}{03}}
-% ]]]
-% ]]]
-% ¥Ù¥¯¥È¥ë + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥×¥é¥¤¥à + Å¾ÃÖ (Xpt) [[[
-\newcommand{\vecindexprimetranspose}[2]{\vecindexprime{#1}{#2}\!^{\top}}       % ¶õÇòÄ´À°Æþ¤ê
-% "i" (ipt) [[[
-\newcommand{\vaipt}{\vecindexprimetranspose{a}{i}}
-\newcommand{\vbipt}{\vecindexprimetranspose{b}{i}}
-\newcommand{\vcipt}{\vecindexprimetranspose{c}{i}}
-\newcommand{\vdipt}{\vecindexprimetranspose{d}{i}}
-\newcommand{\veipt}{\vecindexprimetranspose{e}{i}}
-\newcommand{\vfipt}{\vecindexprimetranspose{f}{i}}
-\newcommand{\vgipt}{\vecindexprimetranspose{g}{i}}
-\newcommand{\vhipt}{\vecindexprimetranspose{h}{i}}
-\newcommand{\vIipt}{\vecindexprimetranspose{i}{i}}
-\newcommand{\vjipt}{\vecindexprimetranspose{j}{i}}
-\newcommand{\vkipt}{\vecindexprimetranspose{k}{i}}
-\newcommand{\vlipt}{\vecindexprimetranspose{l}{i}}
-\newcommand{\vmipt}{\vecindexprimetranspose{m}{i}}
-\newcommand{\vnipt}{\vecindexprimetranspose{n}{i}}
-\newcommand{\voipt}{\vecindexprimetranspose{o}{i}}
-\newcommand{\vpipt}{\vecindexprimetranspose{p}{i}}
-\newcommand{\vqipt}{\vecindexprimetranspose{q}{i}}
-\newcommand{\vript}{\vecindexprimetranspose{r}{i}}
-\newcommand{\vsipt}{\vecindexprimetranspose{s}{i}}
-\newcommand{\vtipt}{\vecindexprimetranspose{t}{i}}
-\newcommand{\vuipt}{\vecindexprimetranspose{u}{i}}
-\newcommand{\vvipt}{\vecindexprimetranspose{v}{i}}
-\newcommand{\vwipt}{\vecindexprimetranspose{w}{i}}
-\newcommand{\vxipt}{\vecindexprimetranspose{x}{i}}
-\newcommand{\vyipt}{\vecindexprimetranspose{y}{i}}
-\newcommand{\vzipt}{\vecindexprimetranspose{z}{i}}
-% ]]]
-% "j" (jpt) [[[
-\newcommand{\vajpt}{\vecindexprimetranspose{a}{j}}
-\newcommand{\vbjpt}{\vecindexprimetranspose{b}{j}}
-\newcommand{\vcjpt}{\vecindexprimetranspose{c}{j}}
-\newcommand{\vdjpt}{\vecindexprimetranspose{d}{j}}
-\newcommand{\vejpt}{\vecindexprimetranspose{e}{j}}
-\newcommand{\vfjpt}{\vecindexprimetranspose{f}{j}}
-\newcommand{\vgjpt}{\vecindexprimetranspose{g}{j}}
-\newcommand{\vhjpt}{\vecindexprimetranspose{h}{j}}
-\newcommand{\vijpt}{\vecindexprimetranspose{i}{j}}
-\newcommand{\vjjpt}{\vecindexprimetranspose{j}{j}}
-\newcommand{\vkjpt}{\vecindexprimetranspose{k}{j}}
-\newcommand{\vljpt}{\vecindexprimetranspose{l}{j}}
-\newcommand{\vmjpt}{\vecindexprimetranspose{m}{j}}
-\newcommand{\vnjpt}{\vecindexprimetranspose{n}{j}}
-\newcommand{\vojpt}{\vecindexprimetranspose{o}{j}}
-\newcommand{\vpjpt}{\vecindexprimetranspose{p}{j}}
-\newcommand{\vqjpt}{\vecindexprimetranspose{q}{j}}
-\newcommand{\vrjpt}{\vecindexprimetranspose{r}{j}}
-\newcommand{\vsjpt}{\vecindexprimetranspose{s}{j}}
-\newcommand{\vtjpt}{\vecindexprimetranspose{t}{j}}
-\newcommand{\vujpt}{\vecindexprimetranspose{u}{j}}
-\newcommand{\vvjpt}{\vecindexprimetranspose{v}{j}}
-\newcommand{\vwjpt}{\vecindexprimetranspose{w}{j}}
-\newcommand{\vxjpt}{\vecindexprimetranspose{x}{j}}
-\newcommand{\vyjpt}{\vecindexprimetranspose{y}{j}}
-\newcommand{\vzjpt}{\vecindexprimetranspose{z}{j}}
-% ]]]
-% "0" (zpt) [[[
-\newcommand{\vazpt}{\vecindexprimetranspose{a}{0}}
-\newcommand{\vbzpt}{\vecindexprimetranspose{b}{0}}
-\newcommand{\vczpt}{\vecindexprimetranspose{c}{0}}
-\newcommand{\vdzpt}{\vecindexprimetranspose{d}{0}}
-\newcommand{\vezpt}{\vecindexprimetranspose{e}{0}}
-\newcommand{\vfzpt}{\vecindexprimetranspose{f}{0}}
-\newcommand{\vgzpt}{\vecindexprimetranspose{g}{0}}
-\newcommand{\vhzpt}{\vecindexprimetranspose{h}{0}}
-\newcommand{\vizpt}{\vecindexprimetranspose{i}{0}}
-\newcommand{\vjzpt}{\vecindexprimetranspose{j}{0}}
-\newcommand{\vkzpt}{\vecindexprimetranspose{k}{0}}
-\newcommand{\vlzpt}{\vecindexprimetranspose{l}{0}}
-\newcommand{\vmzpt}{\vecindexprimetranspose{m}{0}}
-\newcommand{\vnzpt}{\vecindexprimetranspose{n}{0}}
-\newcommand{\vozpt}{\vecindexprimetranspose{o}{0}}
-\newcommand{\vpzpt}{\vecindexprimetranspose{p}{0}}
-\newcommand{\vqzpt}{\vecindexprimetranspose{q}{0}}
-\newcommand{\vrzpt}{\vecindexprimetranspose{r}{0}}
-\newcommand{\vszpt}{\vecindexprimetranspose{s}{0}}
-\newcommand{\vtzpt}{\vecindexprimetranspose{t}{0}}
-\newcommand{\vuzpt}{\vecindexprimetranspose{u}{0}}
-\newcommand{\vvzpt}{\vecindexprimetranspose{v}{0}}
-\newcommand{\vwzpt}{\vecindexprimetranspose{w}{0}}
-% ]]]
-% "1" (apt) [[[
-\newcommand{\vaapt}{\vecindexprimetranspose{a}{1}}
-\newcommand{\vbapt}{\vecindexprimetranspose{b}{1}}
-\newcommand{\vcapt}{\vecindexprimetranspose{c}{1}}
-\newcommand{\vdapt}{\vecindexprimetranspose{d}{1}}
-\newcommand{\veapt}{\vecindexprimetranspose{e}{1}}
-\newcommand{\vfapt}{\vecindexprimetranspose{f}{1}}
-\newcommand{\vgapt}{\vecindexprimetranspose{g}{1}}
-\newcommand{\vhapt}{\vecindexprimetranspose{h}{1}}
-\newcommand{\viapt}{\vecindexprimetranspose{i}{1}}
-\newcommand{\vjapt}{\vecindexprimetranspose{j}{1}}
-\newcommand{\vkapt}{\vecindexprimetranspose{k}{1}}
-\newcommand{\vlapt}{\vecindexprimetranspose{l}{1}}
-\newcommand{\vmapt}{\vecindexprimetranspose{m}{1}}
-\newcommand{\vnapt}{\vecindexprimetranspose{n}{1}}
-\newcommand{\voapt}{\vecindexprimetranspose{o}{1}}
-\newcommand{\vpapt}{\vecindexprimetranspose{p}{1}}
-\newcommand{\vqapt}{\vecindexprimetranspose{q}{1}}
-\newcommand{\vrapt}{\vecindexprimetranspose{r}{1}}
-\newcommand{\vsapt}{\vecindexprimetranspose{s}{1}}
-\newcommand{\vtapt}{\vecindexprimetranspose{t}{1}}
-\newcommand{\vuapt}{\vecindexprimetranspose{u}{1}}
-\newcommand{\vvapt}{\vecindexprimetranspose{v}{1}}
-\newcommand{\vwapt}{\vecindexprimetranspose{w}{1}}
-\newcommand{\vxapt}{\vecindexprimetranspose{x}{1}}
-\newcommand{\vyapt}{\vecindexprimetranspose{y}{1}}
-\newcommand{\vzapt}{\vecindexprimetranspose{z}{1}}
-% ]]]
-% "2" (bpt) [[[
-\newcommand{\vabpt}{\vecindexprimetranspose{a}{2}}
-\newcommand{\vbbpt}{\vecindexprimetranspose{b}{2}}
-\newcommand{\vcbpt}{\vecindexprimetranspose{c}{2}}
-\newcommand{\vdbpt}{\vecindexprimetranspose{d}{2}}
-\newcommand{\vebpt}{\vecindexprimetranspose{e}{2}}
-\newcommand{\vfbpt}{\vecindexprimetranspose{f}{2}}
-\newcommand{\vgbpt}{\vecindexprimetranspose{g}{2}}
-\newcommand{\vhbpt}{\vecindexprimetranspose{h}{2}}
-\newcommand{\vibpt}{\vecindexprimetranspose{i}{2}}
-\newcommand{\vjbpt}{\vecindexprimetranspose{j}{2}}
-\newcommand{\vkbpt}{\vecindexprimetranspose{k}{2}}
-\newcommand{\vlbpt}{\vecindexprimetranspose{l}{2}}
-\newcommand{\vmbpt}{\vecindexprimetranspose{m}{2}}
-\newcommand{\vnbpt}{\vecindexprimetranspose{n}{2}}
-\newcommand{\vobpt}{\vecindexprimetranspose{o}{2}}
-\newcommand{\vpbpt}{\vecindexprimetranspose{p}{2}}
-\newcommand{\vqbpt}{\vecindexprimetranspose{q}{2}}
-\newcommand{\vrbpt}{\vecindexprimetranspose{r}{2}}
-\newcommand{\vsbpt}{\vecindexprimetranspose{s}{2}}
-\newcommand{\vtbpt}{\vecindexprimetranspose{t}{2}}
-\newcommand{\vubpt}{\vecindexprimetranspose{u}{2}}
-\newcommand{\vvbpt}{\vecindexprimetranspose{v}{2}}
-\newcommand{\vwbpt}{\vecindexprimetranspose{w}{2}}
-\newcommand{\vxbpt}{\vecindexprimetranspose{x}{2}}
-\newcommand{\vybpt}{\vecindexprimetranspose{y}{2}}
-\newcommand{\vzbpt}{\vecindexprimetranspose{z}{2}}
-% ]]]
-% "3" (cpt) [[[
-\newcommand{\vacpt}{\vecindexprimetranspose{a}{3}}
-\newcommand{\vbcpt}{\vecindexprimetranspose{b}{3}}
-\newcommand{\vccpt}{\vecindexprimetranspose{c}{3}}
-\newcommand{\vdcpt}{\vecindexprimetranspose{d}{3}}
-\newcommand{\vecpt}{\vecindexprimetranspose{e}{3}}
-\newcommand{\vfcpt}{\vecindexprimetranspose{f}{3}}
-\newcommand{\vgcpt}{\vecindexprimetranspose{g}{3}}
-\newcommand{\vhcpt}{\vecindexprimetranspose{h}{3}}
-\newcommand{\vicpt}{\vecindexprimetranspose{i}{3}}
-\newcommand{\vjcpt}{\vecindexprimetranspose{j}{3}}
-\newcommand{\vkcpt}{\vecindexprimetranspose{k}{3}}
-\newcommand{\vlcpt}{\vecindexprimetranspose{l}{3}}
-\newcommand{\vmcpt}{\vecindexprimetranspose{m}{3}}
-\newcommand{\vncpt}{\vecindexprimetranspose{n}{3}}
-\newcommand{\vocpt}{\vecindexprimetranspose{o}{3}}
-\newcommand{\vpcpt}{\vecindexprimetranspose{p}{3}}
-\newcommand{\vqcpt}{\vecindexprimetranspose{q}{3}}
-\newcommand{\vrcpt}{\vecindexprimetranspose{r}{3}}
-\newcommand{\vscpt}{\vecindexprimetranspose{s}{3}}
-\newcommand{\vtcpt}{\vecindexprimetranspose{t}{3}}
-\newcommand{\vucpt}{\vecindexprimetranspose{u}{3}}
-\newcommand{\vvcpt}{\vecindexprimetranspose{v}{3}}
-\newcommand{\vwcpt}{\vecindexprimetranspose{w}{3}}
-\newcommand{\vxcpt}{\vecindexprimetranspose{x}{3}}
-\newcommand{\vycpt}{\vecindexprimetranspose{y}{3}}
-\newcommand{\vzcpt}{\vecindexprimetranspose{z}{3}}
-% ]]]
-% "01" (zapt) [[[
-\newcommand{\vazapt}{\vecindexprimetranspose{a}{01}}
-\newcommand{\vbzapt}{\vecindexprimetranspose{b}{01}}
-\newcommand{\vczapt}{\vecindexprimetranspose{c}{01}}
-\newcommand{\vdzapt}{\vecindexprimetranspose{d}{01}}
-\newcommand{\vezapt}{\vecindexprimetranspose{e}{01}}
-\newcommand{\vfzapt}{\vecindexprimetranspose{f}{01}}
-\newcommand{\vgzapt}{\vecindexprimetranspose{g}{01}}
-\newcommand{\vhzapt}{\vecindexprimetranspose{h}{01}}
-\newcommand{\vizapt}{\vecindexprimetranspose{i}{01}}
-\newcommand{\vjzapt}{\vecindexprimetranspose{j}{01}}
-\newcommand{\vkzapt}{\vecindexprimetranspose{k}{01}}
-\newcommand{\vlzapt}{\vecindexprimetranspose{l}{01}}
-\newcommand{\vmzapt}{\vecindexprimetranspose{m}{01}}
-\newcommand{\vnzapt}{\vecindexprimetranspose{n}{01}}
-\newcommand{\vozapt}{\vecindexprimetranspose{o}{01}}
-\newcommand{\vpzapt}{\vecindexprimetranspose{p}{01}}
-\newcommand{\vqzapt}{\vecindexprimetranspose{q}{01}}
-\newcommand{\vrzapt}{\vecindexprimetranspose{r}{01}}
-\newcommand{\vszapt}{\vecindexprimetranspose{s}{01}}
-\newcommand{\vtzapt}{\vecindexprimetranspose{t}{01}}
-\newcommand{\vuzapt}{\vecindexprimetranspose{u}{01}}
-\newcommand{\vvzapt}{\vecindexprimetranspose{v}{01}}
-\newcommand{\vwzapt}{\vecindexprimetranspose{w}{01}}
-\newcommand{\vxzapt}{\vecindexprimetranspose{x}{01}}
-\newcommand{\vyzapt}{\vecindexprimetranspose{y}{01}}
-\newcommand{\vzzapt}{\vecindexprimetranspose{z}{01}}
-% ]]]
-% "02" (zbpt) [[[
-\newcommand{\vazbpt}{\vecindexprimetranspose{a}{02}}
-\newcommand{\vbzbpt}{\vecindexprimetranspose{b}{02}}
-\newcommand{\vczbpt}{\vecindexprimetranspose{c}{02}}
-\newcommand{\vdzbpt}{\vecindexprimetranspose{d}{02}}
-\newcommand{\vezbpt}{\vecindexprimetranspose{e}{02}}
-\newcommand{\vfzbpt}{\vecindexprimetranspose{f}{02}}
-\newcommand{\vgzbpt}{\vecindexprimetranspose{g}{02}}
-\newcommand{\vhzbpt}{\vecindexprimetranspose{h}{02}}
-\newcommand{\vizbpt}{\vecindexprimetranspose{i}{02}}
-\newcommand{\vjzbpt}{\vecindexprimetranspose{j}{02}}
-\newcommand{\vkzbpt}{\vecindexprimetranspose{k}{02}}
-\newcommand{\vlzbpt}{\vecindexprimetranspose{l}{02}}
-\newcommand{\vmzbpt}{\vecindexprimetranspose{m}{02}}
-\newcommand{\vnzbpt}{\vecindexprimetranspose{n}{02}}
-\newcommand{\vozbpt}{\vecindexprimetranspose{o}{02}}
-\newcommand{\vpzbpt}{\vecindexprimetranspose{p}{02}}
-\newcommand{\vqzbpt}{\vecindexprimetranspose{q}{02}}
-\newcommand{\vrzbpt}{\vecindexprimetranspose{r}{02}}
-\newcommand{\vszbpt}{\vecindexprimetranspose{s}{02}}
-\newcommand{\vtzbpt}{\vecindexprimetranspose{t}{02}}
-\newcommand{\vuzbpt}{\vecindexprimetranspose{u}{02}}
-\newcommand{\vvzbpt}{\vecindexprimetranspose{v}{02}}
-\newcommand{\vwzbpt}{\vecindexprimetranspose{w}{02}}
-\newcommand{\vxzbpt}{\vecindexprimetranspose{x}{02}}
-\newcommand{\vyzbpt}{\vecindexprimetranspose{y}{02}}
-\newcommand{\vzzbpt}{\vecindexprimetranspose{z}{02}}
-% ]]]
-% "03" (zcpt) [[[
-\newcommand{\vazcpt}{\vecindexprimetranspose{a}{03}}
-\newcommand{\vbzcpt}{\vecindexprimetranspose{b}{03}}
-\newcommand{\vczcpt}{\vecindexprimetranspose{c}{03}}
-\newcommand{\vdzcpt}{\vecindexprimetranspose{d}{03}}
-\newcommand{\vezcpt}{\vecindexprimetranspose{e}{03}}
-\newcommand{\vfzcpt}{\vecindexprimetranspose{f}{03}}
-\newcommand{\vgzcpt}{\vecindexprimetranspose{g}{03}}
-\newcommand{\vhzcpt}{\vecindexprimetranspose{h}{03}}
-\newcommand{\vizcpt}{\vecindexprimetranspose{i}{03}}
-\newcommand{\vjzcpt}{\vecindexprimetranspose{j}{03}}
-\newcommand{\vkzcpt}{\vecindexprimetranspose{k}{03}}
-\newcommand{\vlzcpt}{\vecindexprimetranspose{l}{03}}
-\newcommand{\vmzcpt}{\vecindexprimetranspose{m}{03}}
-\newcommand{\vnzcpt}{\vecindexprimetranspose{n}{03}}
-\newcommand{\vozcpt}{\vecindexprimetranspose{o}{03}}
-\newcommand{\vpzcpt}{\vecindexprimetranspose{p}{03}}
-\newcommand{\vqzcpt}{\vecindexprimetranspose{q}{03}}
-\newcommand{\vrzcpt}{\vecindexprimetranspose{r}{03}}
-\newcommand{\vszcpt}{\vecindexprimetranspose{s}{03}}
-\newcommand{\vtzcpt}{\vecindexprimetranspose{t}{03}}
-\newcommand{\vuzcpt}{\vecindexprimetranspose{u}{03}}
-\newcommand{\vvzcpt}{\vecindexprimetranspose{v}{03}}
-\newcommand{\vwzcpt}{\vecindexprimetranspose{w}{03}}
-\newcommand{\vxzcpt}{\vecindexprimetranspose{x}{03}}
-\newcommand{\vyzcpt}{\vecindexprimetranspose{y}{03}}
-\newcommand{\vzzcpt}{\vecindexprimetranspose{z}{03}}
-% ]]]
-% ]]]
-% ³°ÀѤιÔÎóɽ¸½ (x) [[[
-\newcommand{\vX}[1]{[#1]_\times}
-\newcommand{\vecproductmatrix}[1]{\vX{\myvector{#1}}}
-\newcommand{\vax}{\vecproductmatrix{a}}
-\newcommand{\vbx}{\vecproductmatrix{b}}
-\newcommand{\vcx}{\vecproductmatrix{c}}
-\newcommand{\vdx}{\vecproductmatrix{d}}
-\newcommand{\vex}{\vecproductmatrix{e}}
-\newcommand{\vfx}{\vecproductmatrix{f}}
-\newcommand{\vgx}{\vecproductmatrix{g}}
-\newcommand{\vhx}{\vecproductmatrix{h}}
-\newcommand{\vix}{\vecproductmatrix{i}}
-\newcommand{\vjx}{\vecproductmatrix{j}}
-\newcommand{\vkx}{\vecproductmatrix{k}}
-\newcommand{\vlx}{\vecproductmatrix{l}}
-\newcommand{\vmx}{\vecproductmatrix{m}}
-\newcommand{\vnx}{\vecproductmatrix{n}}
-\newcommand{\vox}{\vecproductmatrix{o}}
-\newcommand{\vpx}{\vecproductmatrix{p}}
-\newcommand{\vqx}{\vecproductmatrix{q}}
-\newcommand{\vrx}{\vecproductmatrix{r}}
-\newcommand{\vsx}{\vecproductmatrix{s}}
-\newcommand{\vtx}{\vecproductmatrix{t}}
-\newcommand{\vux}{\vecproductmatrix{u}}
-\newcommand{\vvx}{\vecproductmatrix{v}}
-\newcommand{\vwx}{\vecproductmatrix{w}}
-\newcommand{\vxx}{\vecproductmatrix{x}}
-\newcommand{\vyx}{\vecproductmatrix{y}}
-\newcommand{\vzx}{\vecproductmatrix{z}}
-% ]]]
-% ³°ÀѤιÔÎóɽ¸½ + ¥×¥é¥¤¥à (px) [[[
-\newcommand{\vecprimeproductmatrix}[1]{\vX{\vecprime{#1}}}
-\newcommand{\vapx}{\vecprimeproductmatrix{a}}
-\newcommand{\vbpx}{\vecprimeproductmatrix{b}}
-\newcommand{\vcpx}{\vecprimeproductmatrix{c}}
-\newcommand{\vdpx}{\vecprimeproductmatrix{d}}
-\newcommand{\vepx}{\vecprimeproductmatrix{e}}
-\newcommand{\vfpx}{\vecprimeproductmatrix{f}}
-\newcommand{\vgpx}{\vecprimeproductmatrix{g}}
-\newcommand{\vhpx}{\vecprimeproductmatrix{h}}
-\newcommand{\vipx}{\vecprimeproductmatrix{i}}
-\newcommand{\vjpx}{\vecprimeproductmatrix{j}}
-\newcommand{\vkpx}{\vecprimeproductmatrix{k}}
-\newcommand{\vlpx}{\vecprimeproductmatrix{l}}
-\newcommand{\vmpx}{\vecprimeproductmatrix{m}}
-\newcommand{\vnpx}{\vecprimeproductmatrix{n}}
-\newcommand{\vopx}{\vecprimeproductmatrix{o}}
-\newcommand{\vppx}{\vecprimeproductmatrix{p}}
-\newcommand{\vqpx}{\vecprimeproductmatrix{q}}
-\newcommand{\vrpx}{\vecprimeproductmatrix{r}}
-\newcommand{\vspx}{\vecprimeproductmatrix{s}}
-\newcommand{\vtpx}{\vecprimeproductmatrix{t}}
-\newcommand{\vupx}{\vecprimeproductmatrix{u}}
-\newcommand{\vvpx}{\vecprimeproductmatrix{v}}
-\newcommand{\vwpx}{\vecprimeproductmatrix{w}}
-\newcommand{\vxpx}{\vecprimeproductmatrix{x}}
-\newcommand{\vypx}{\vecprimeproductmatrix{y}}
-\newcommand{\vzpx}{\vecprimeproductmatrix{z}}
-% ]]]
-% ³°ÀѤιÔÎóɽ¸½ + ¥¤¥ó¥Ç¥Ã¥¯¥¹ (Xx) [[[
-\newcommand{\vecproductmatrixindex}[2]{\vX{\vecindex{#1}{#2}}}
-% "0" (zx) [[[
-\newcommand{\vazx}{\vecproductmatrixindex{a}{0}}
-\newcommand{\vbzx}{\vecproductmatrixindex{b}{0}}
-\newcommand{\vczx}{\vecproductmatrixindex{c}{0}}
-\newcommand{\vdzx}{\vecproductmatrixindex{d}{0}}
-\newcommand{\vezx}{\vecproductmatrixindex{e}{0}}
-\newcommand{\vfzx}{\vecproductmatrixindex{f}{0}}
-\newcommand{\vgzx}{\vecproductmatrixindex{g}{0}}
-\newcommand{\vhzx}{\vecproductmatrixindex{h}{0}}
-\newcommand{\vizx}{\vecproductmatrixindex{i}{0}}
-\newcommand{\vjzx}{\vecproductmatrixindex{j}{0}}
-\newcommand{\vkzx}{\vecproductmatrixindex{k}{0}}
-\newcommand{\vlzx}{\vecproductmatrixindex{l}{0}}
-\newcommand{\vmzx}{\vecproductmatrixindex{m}{0}}
-\newcommand{\vnzx}{\vecproductmatrixindex{n}{0}}
-\newcommand{\vozx}{\vecproductmatrixindex{o}{0}}
-\newcommand{\vpzx}{\vecproductmatrixindex{p}{0}}
-\newcommand{\vqzx}{\vecproductmatrixindex{q}{0}}
-\newcommand{\vrzx}{\vecproductmatrixindex{r}{0}}
-\newcommand{\vszx}{\vecproductmatrixindex{s}{0}}
-\newcommand{\vtzx}{\vecproductmatrixindex{t}{0}}
-\newcommand{\vuzx}{\vecproductmatrixindex{u}{0}}
-\newcommand{\vvzx}{\vecproductmatrixindex{v}{0}}
-\newcommand{\vwzx}{\vecproductmatrixindex{w}{0}}
-\newcommand{\vxzx}{\vecproductmatrixindex{x}{0}}
-\newcommand{\vyzx}{\vecproductmatrixindex{y}{0}}
-\newcommand{\vzzx}{\vecproductmatrixindex{z}{0}}
-% ]]]
-% ]]]
-% ³°ÀѤιÔÎóɽ¸½ + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + µÕ¹ÔÎó (Xxi) [[[
-\newcommand{\vecproductmatrixindexinv}[2]{\vX{\vecindex{#1}{#2}}^{-1}}
-% "0" (zxi) [[[
-\newcommand{\vazxi}{\vecproductmatrixindexinv{a}{0}}
-\newcommand{\vbzxi}{\vecproductmatrixindexinv{b}{0}}
-\newcommand{\vczxi}{\vecproductmatrixindexinv{c}{0}}
-\newcommand{\vdzxi}{\vecproductmatrixindexinv{d}{0}}
-\newcommand{\vezxi}{\vecproductmatrixindexinv{e}{0}}
-\newcommand{\vfzxi}{\vecproductmatrixindexinv{f}{0}}
-\newcommand{\vgzxi}{\vecproductmatrixindexinv{g}{0}}
-\newcommand{\vhzxi}{\vecproductmatrixindexinv{h}{0}}
-\newcommand{\vizxi}{\vecproductmatrixindexinv{i}{0}}
-\newcommand{\vjzxi}{\vecproductmatrixindexinv{j}{0}}
-\newcommand{\vkzxi}{\vecproductmatrixindexinv{k}{0}}
-\newcommand{\vlzxi}{\vecproductmatrixindexinv{l}{0}}
-\newcommand{\vmzxi}{\vecproductmatrixindexinv{m}{0}}
-\newcommand{\vnzxi}{\vecproductmatrixindexinv{n}{0}}
-\newcommand{\vozxi}{\vecproductmatrixindexinv{o}{0}}
-\newcommand{\vpzxi}{\vecproductmatrixindexinv{p}{0}}
-\newcommand{\vqzxi}{\vecproductmatrixindexinv{q}{0}}
-\newcommand{\vrzxi}{\vecproductmatrixindexinv{r}{0}}
-\newcommand{\vszxi}{\vecproductmatrixindexinv{s}{0}}
-\newcommand{\vtzxi}{\vecproductmatrixindexinv{t}{0}}
-\newcommand{\vuzxi}{\vecproductmatrixindexinv{u}{0}}
-\newcommand{\vvzxi}{\vecproductmatrixindexinv{v}{0}}
-\newcommand{\vwzxi}{\vecproductmatrixindexinv{w}{0}}
-\newcommand{\vxzxi}{\vecproductmatrixindexinv{x}{0}}
-\newcommand{\vyzxi}{\vecproductmatrixindexinv{y}{0}}
-\newcommand{\vzzxi}{\vecproductmatrixindexinv{z}{0}}
-% ]]]
-% ]]]
-
-% ¹ÔÎó [[[
-\newcommand{\mat}[1]{\mathbfit{#1}}                    % matrix ¤ÏÄêµÁºÑ¤ß
-\newcommand{\mA}{\mat{A}}
-\newcommand{\mB}{\mat{B}}
-\newcommand{\mC}{\mat{C}}
-\newcommand{\mD}{\mat{D}}
-\newcommand{\mE}{\mat{E}}
-\newcommand{\mF}{\mat{F}}
-\newcommand{\mG}{\mat{G}}
-\newcommand{\mH}{\mat{H}}
-\newcommand{\mI}{\mat{I}}
-\newcommand{\mJ}{\mat{J}}
-\newcommand{\mK}{\mat{K}}
-\newcommand{\mL}{\mat{L}}
-\newcommand{\mM}{\mat{M}}
-\newcommand{\mN}{\mat{N}}
-\newcommand{\mO}{\mat{O}}
-\newcommand{\mP}{\mat{P}}
-\newcommand{\mQ}{\mat{Q}}
-\newcommand{\mR}{\mat{R}}
-\newcommand{\mS}{\mat{S}}
-\newcommand{\mT}{\mat{T}}
-\newcommand{\mU}{\mat{U}}
-\newcommand{\mV}{\mat{V}\!}
-\newcommand{\mW}{\mat{W}}
-\newcommand{\mX}{\mat{X}}
-\newcommand{\mY}{\mat{Y}}
-\newcommand{\mZ}{\mat{Z}}
-\newcommand{\mSigma}{\mat{\Sigma}}
-\newcommand{\mLambda}{\mat{\Lambda}}
-\newcommand{\mPI}{\mat{\Pi}}
-\newcommand{\mZERO}{\mymbox{\boldmath{$0$}}}
-% ]]]
-% ¹ÔÎó + ¥×¥é¥¤¥à (p) [[[
-\newcommand{\matprime}[1]{\mat{#1}'}
-\newcommand{\mAp}{\matprime{A}}
-\newcommand{\mBp}{\matprime{B}}
-\newcommand{\mCp}{\matprime{C}}
-\newcommand{\mDp}{\matprime{D}}
-\newcommand{\mEp}{\matprime{E}}
-\newcommand{\mFp}{\matprime{F}}
-\newcommand{\mGp}{\matprime{G}}
-\newcommand{\mHp}{\matprime{H}}
-\newcommand{\mIp}{\matprime{I}}
-\newcommand{\mJp}{\matprime{J}}
-\newcommand{\mKp}{\matprime{K}}
-\newcommand{\mLp}{\matprime{L}}
-\newcommand{\mMp}{\matprime{M}}
-\newcommand{\mNp}{\matprime{N}}
-\newcommand{\mOp}{\matprime{O}}
-\newcommand{\mPp}{\matprime{P}}
-\newcommand{\mQp}{\matprime{Q}}
-\newcommand{\mRp}{\matprime{R}}
-\newcommand{\mSp}{\matprime{S}}
-\newcommand{\mTp}{\matprime{T}}
-\newcommand{\mUp}{\matprime{U}}
-\newcommand{\mVp}{\matprime{V}}
-\newcommand{\mWp}{\matprime{W}}
-\newcommand{\mXp}{\matprime{X}}
-\newcommand{\mYp}{\matprime{Y}}
-\newcommand{\mZp}{\matprime{Z}}
-\newcommand{\mSigmap}{\matprime{\Sigma}}
-% ]]]
-% ¹ÔÎó + ¥Ï¥Ã¥È (h) [[[
-\newcommand{\mathat}[1]{\hat{\mat{#1}}}
-\newcommand{\mAh}{\mathat{A}}
-\newcommand{\mBh}{\mathat{B}}
-\newcommand{\mCh}{\mathat{C}}
-\newcommand{\mDh}{\mathat{D}}
-\newcommand{\mEh}{\mathat{E}}
-\newcommand{\mFh}{\mathat{F}}
-\newcommand{\mGh}{\mathat{G}}
-\newcommand{\mHh}{\mathat{H}}
-\newcommand{\mIh}{\mathat{I}}
-\newcommand{\mJh}{\mathat{J}}
-\newcommand{\mKh}{\mathat{K}}
-\newcommand{\mLh}{\mathat{L}}
-\newcommand{\mMh}{\mathat{M}}
-\newcommand{\mNh}{\mathat{N}}
-\newcommand{\mOh}{\mathat{O}}
-\newcommand{\mPh}{\mathat{P}}
-\newcommand{\mQh}{\mathat{Q}}
-\newcommand{\mRh}{\mathat{R}}
-\newcommand{\mSh}{\mathat{S}}
-\newcommand{\mTh}{\mathat{T}}
-\newcommand{\mUh}{\mathat{U}}
-\newcommand{\mVh}{\mathat{V}}
-\newcommand{\mWh}{\mathat{W}}
-\newcommand{\mXh}{\mathat{X}}
-\newcommand{\mYh}{\mathat{Y}}
-\newcommand{\mZh}{\mathat{Z}}
-% ]]]
-% ¹ÔÎó + ¥Ð¡¼ (bar) [[[
-\newcommand{\matbar}[1]{\bar{\mat{#1}}}
-\newcommand{\mAbar}{\matbar{A}}
-\newcommand{\mBbar}{\matbar{B}}
-\newcommand{\mCbar}{\matbar{C}}
-\newcommand{\mDbar}{\matbar{D}}
-\newcommand{\mEbar}{\matbar{E}}
-\newcommand{\mFbar}{\matbar{F}}
-\newcommand{\mGbar}{\matbar{G}}
-\newcommand{\mHbar}{\matbar{H}}
-\newcommand{\mIbar}{\matbar{I}}
-\newcommand{\mJbar}{\matbar{J}}
-\newcommand{\mKbar}{\matbar{K}}
-\newcommand{\mLbar}{\matbar{L}}
-\newcommand{\mMbar}{\matbar{M}}
-\newcommand{\mNbar}{\matbar{N}}
-\newcommand{\mObar}{\matbar{O}}
-\newcommand{\mPbar}{\matbar{P}}
-\newcommand{\mQbar}{\matbar{Q}}
-\newcommand{\mRbar}{\matbar{R}}
-\newcommand{\mSbar}{\matbar{S}}
-\newcommand{\mTbar}{\matbar{T}}
-\newcommand{\mUbar}{\matbar{U}}
-\newcommand{\mVbar}{\matbar{V}}
-\newcommand{\mWbar}{\matbar{W}}
-\newcommand{\mXbar}{\matbar{X}}
-\newcommand{\mYbar}{\matbar{Y}}
-\newcommand{\mZbar}{\matbar{Z}}
-% ]]]
-% ¹ÔÎó + ¥×¥é¥¤¥à + ¥Ð¡¼ (pbar) [[[ 
-\newcommand{\matbarprime}[1]{\matbar{#1}'}
-\newcommand{\mApbar}{\matbarprime{A}}
-\newcommand{\mBpbar}{\matbarprime{B}}
-\newcommand{\mCpbar}{\matbarprime{C}}
-\newcommand{\mDpbar}{\matbarprime{D}}
-\newcommand{\mEpbar}{\matbarprime{E}}
-\newcommand{\mFpbar}{\matbarprime{F}}
-\newcommand{\mGpbar}{\matbarprime{G}}
-\newcommand{\mHpbar}{\matbarprime{H}}
-\newcommand{\mIpbar}{\matbarprime{I}}
-\newcommand{\mJpbar}{\matbarprime{J}}
-\newcommand{\mKpbar}{\matbarprime{K}}
-\newcommand{\mLpbar}{\matbarprime{L}}
-\newcommand{\mMpbar}{\matbarprime{M}}
-\newcommand{\mNpbar}{\matbarprime{N}}
-\newcommand{\mOpbar}{\matbarprime{O}}
-\newcommand{\mPpbar}{\matbarprime{P}}
-\newcommand{\mQpbar}{\matbarprime{Q}}
-\newcommand{\mRpbar}{\matbarprime{R}}
-\newcommand{\mSpbar}{\matbarprime{S}}
-\newcommand{\mTpbar}{\matbarprime{T}}
-\newcommand{\mUpbar}{\matbarprime{U}}
-\newcommand{\mVpbar}{\matbarprime{V}}
-\newcommand{\mWpbar}{\matbarprime{W}}
-\newcommand{\mXpbar}{\matbarprime{X}}
-\newcommand{\mYpbar}{\matbarprime{Y}}
-\newcommand{\mZpbar}{\matbarprime{Z}}
-% ]]]
-% ¹ÔÎó + ¥Á¥ë¥À (tilde) [[[
-\newcommand{\mattilde}[1]{\tilde{\mat{#1}}}
-\newcommand{\mAtilde}{\mattilde{A}}
-\newcommand{\mBtilde}{\mattilde{B}}
-\newcommand{\mCtilde}{\mattilde{C}}
-\newcommand{\mDtilde}{\mattilde{D}}
-\newcommand{\mEtilde}{\mattilde{E}}
-\newcommand{\mFtilde}{\mattilde{F}}
-\newcommand{\mGtilde}{\mattilde{G}}
-\newcommand{\mHtilde}{\mattilde{H}}
-\newcommand{\mItilde}{\mattilde{I}}
-\newcommand{\mJtilde}{\mattilde{J}}
-\newcommand{\mKtilde}{\mattilde{K}}
-\newcommand{\mLtilde}{\mattilde{L}}
-\newcommand{\mMtilde}{\mattilde{M}}
-\newcommand{\mNtilde}{\mattilde{N}}
-\newcommand{\mOtilde}{\mattilde{O}}
-\newcommand{\mPtilde}{\mattilde{P}}
-\newcommand{\mQtilde}{\mattilde{Q}}
-\newcommand{\mRtilde}{\mattilde{R}}
-\newcommand{\mStilde}{\mattilde{S}}
-\newcommand{\mTtilde}{\mattilde{T}}
-\newcommand{\mUtilde}{\mattilde{U}}
-\newcommand{\mVtilde}{\mattilde{V}}
-\newcommand{\mWtilde}{\mattilde{W}}
-\newcommand{\mXtilde}{\mattilde{X}}
-\newcommand{\mYtilde}{\mattilde{Y}}
-\newcommand{\mZtilde}{\mattilde{Z}}
-\newcommand{\mPItilde}{\mattilde{\Pi}}
-% ]]]
-% ¹ÔÎó + ¥¤¥ó¥Ç¥Ã¥¯¥¹ (X) [[[
-\newcommand{\matindex}[2]{\mat{#1}_{#2}}
-% "n" (n) [[[
-\newcommand{\mAn}{\matindex{A}{n}}
-\newcommand{\mBn}{\matindex{B}{n}}
-\newcommand{\mCn}{\matindex{C}{n}}
-\newcommand{\mDn}{\matindex{D}{n}}
-\newcommand{\mEn}{\matindex{E}{n}}
-\newcommand{\mFn}{\matindex{F}{n}}
-\newcommand{\mGn}{\matindex{G}{n}}
-\newcommand{\mHn}{\matindex{H}{n}}
-\newcommand{\mIn}{\matindex{I}{n}}
-\newcommand{\mJn}{\matindex{J}{n}}
-\newcommand{\mKn}{\matindex{K}{n}}
-\newcommand{\mLn}{\matindex{L}{n}}
-\newcommand{\mMn}{\matindex{M}{n}}
-\newcommand{\mNn}{\matindex{N}{n}}
-\newcommand{\mOn}{\matindex{O}{n}}
-\newcommand{\mPn}{\matindex{P}{n}}
-\newcommand{\mQn}{\matindex{Q}{n}}
-\newcommand{\mRn}{\matindex{R}{n}}
-\newcommand{\mSn}{\matindex{S}{n}}
-\newcommand{\mTn}{\matindex{T}{n}}
-\newcommand{\mUn}{\matindex{U}{n}}
-\newcommand{\mVn}{\matindex{V}{n}}
-\newcommand{\mWn}{\matindex{W}{n}}
-\newcommand{\mXn}{\matindex{X}{n}}
-\newcommand{\mYn}{\matindex{Y}{n}}
-\newcommand{\mZn}{\matindex{Z}{n}}
-\newcommand{\mSigman}{\matindex{\Sigma}{n}}
-% ]]]
-% "0" (z) [[[
-\newcommand{\mAz}{\matindex{A}{0}}
-\newcommand{\mBz}{\matindex{B}{0}}
-\newcommand{\mCz}{\matindex{C}{0}}
-\newcommand{\mDz}{\matindex{D}{0}}
-\newcommand{\mEz}{\matindex{E}{0}}
-\newcommand{\mFz}{\matindex{F}{0}}
-\newcommand{\mGz}{\matindex{G}{0}}
-\newcommand{\mHz}{\matindex{H}{0}}
-\newcommand{\mIz}{\matindex{I}{0}}
-\newcommand{\mJz}{\matindex{J}{0}}
-\newcommand{\mKz}{\matindex{K}{0}}
-\newcommand{\mLz}{\matindex{L}{0}}
-\newcommand{\mMz}{\matindex{M}{0}}
-\newcommand{\mNz}{\matindex{N}{0}}
-\newcommand{\mOz}{\matindex{O}{0}}
-\newcommand{\mPz}{\matindex{P}{0}}
-\newcommand{\mQz}{\matindex{Q}{0}}
-\newcommand{\mRz}{\matindex{R}{0}}
-\newcommand{\mSz}{\matindex{S}{0}}
-\newcommand{\mTz}{\matindex{T}{0}}
-\newcommand{\mUz}{\matindex{U}{0}}
-\newcommand{\mVz}{\matindex{V}{0}}
-\newcommand{\mWz}{\matindex{W}{0}}
-\newcommand{\mXz}{\matindex{X}{0}}
-\newcommand{\mYz}{\matindex{Y}{0}}
-\newcommand{\mZz}{\matindex{Z}{0}}
-\newcommand{\mSigmaz}{\matindex{\Sigma}{0}}
-% ]]]
-% "1" (a) [[[
-\newcommand{\mAa}{\matindex{A}{1}}
-\newcommand{\mBa}{\matindex{B}{1}}
-\newcommand{\mCa}{\matindex{C}{1}}
-\newcommand{\mDa}{\matindex{D}{1}}
-\newcommand{\mEa}{\matindex{E}{1}}
-\newcommand{\mFa}{\matindex{F}{1}}
-\newcommand{\mGa}{\matindex{G}{1}}
-\newcommand{\mHa}{\matindex{H}{1}}
-\newcommand{\mIa}{\matindex{I}{1}}
-\newcommand{\mJa}{\matindex{J}{1}}
-\newcommand{\mKa}{\matindex{K}{1}}
-\newcommand{\mLa}{\matindex{L}{1}}
-\newcommand{\mMa}{\matindex{M}{1}}
-\newcommand{\mNa}{\matindex{N}{1}}
-\newcommand{\mOa}{\matindex{O}{1}}
-\newcommand{\mPa}{\matindex{P}{1}}
-\newcommand{\mQa}{\matindex{Q}{1}}
-\newcommand{\mRa}{\matindex{R}{1}}
-\newcommand{\mSa}{\matindex{S}{1}}
-\newcommand{\mTa}{\matindex{T}{1}}
-\newcommand{\mUa}{\matindex{U}{1}}
-\newcommand{\mVa}{\matindex{V}{1}}
-\newcommand{\mWa}{\matindex{W}{1}}
-\newcommand{\mXa}{\matindex{X}{1}}
-\newcommand{\mYa}{\matindex{Y}{1}}
-\newcommand{\mZa}{\matindex{Z}{1}}
-\newcommand{\mSigmaa}{\matindex{\Sigma}{1}}
-% ]]]
-% "2" (b) [[[
-\newcommand{\mAb}{\matindex{A}{2}}
-\newcommand{\mBb}{\matindex{B}{2}}
-\newcommand{\mCb}{\matindex{C}{2}}
-\newcommand{\mDb}{\matindex{D}{2}}
-\newcommand{\mEb}{\matindex{E}{2}}
-\newcommand{\mFb}{\matindex{F}{2}}
-\newcommand{\mGb}{\matindex{G}{2}}
-\newcommand{\mHb}{\matindex{H}{2}}
-\newcommand{\mIb}{\matindex{I}{2}}
-\newcommand{\mJb}{\matindex{J}{2}}
-\newcommand{\mKb}{\matindex{K}{2}}
-\newcommand{\mLb}{\matindex{L}{2}}
-\newcommand{\mMb}{\matindex{M}{2}}
-\newcommand{\mNb}{\matindex{N}{2}}
-\newcommand{\mOb}{\matindex{O}{2}}
-\newcommand{\mPb}{\matindex{P}{2}}
-\newcommand{\mQb}{\matindex{Q}{2}}
-\newcommand{\mRb}{\matindex{R}{2}}
-\newcommand{\mSb}{\matindex{S}{2}}
-\newcommand{\mTb}{\matindex{T}{2}}
-\newcommand{\mUb}{\matindex{U}{2}}
-\newcommand{\mVb}{\matindex{V}{2}}
-\newcommand{\mWb}{\matindex{W}{2}}
-\newcommand{\mXb}{\matindex{X}{2}}
-\newcommand{\mYb}{\matindex{Y}{2}}
-\newcommand{\mZb}{\matindex{Z}{2}}
-\newcommand{\mSigmab}{\matindex{\Sigma}{2}}
-% ]]]
-% ]]]
-% ¹ÔÎó + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥×¥é¥¤¥à (Xp) [[[
-\newcommand{\matindexprime}[2]{\matprime{#1}_{#2}}
-% "i" (ip) [[[
-\newcommand{\mAip}{\matindexprime{A}{i}}
-\newcommand{\mBip}{\matindexprime{B}{i}}
-\newcommand{\mCip}{\matindexprime{C}{i}}
-\newcommand{\mDip}{\matindexprime{D}{i}}
-\newcommand{\mEip}{\matindexprime{E}{i}}
-\newcommand{\mFip}{\matindexprime{F}{i}}
-\newcommand{\mGip}{\matindexprime{G}{i}}
-\newcommand{\mHip}{\matindexprime{H}{i}}
-\newcommand{\mIip}{\matindexprime{I}{i}}
-\newcommand{\mJip}{\matindexprime{J}{i}}
-\newcommand{\mKip}{\matindexprime{K}{i}}
-\newcommand{\mLip}{\matindexprime{L}{i}}
-\newcommand{\mMip}{\matindexprime{M}{i}}
-\newcommand{\mNip}{\matindexprime{N}{i}}
-\newcommand{\mOip}{\matindexprime{O}{i}}
-\newcommand{\mPip}{\matindexprime{P}{i}}
-\newcommand{\mQip}{\matindexprime{Q}{i}}
-\newcommand{\mRip}{\matindexprime{R}{i}}
-\newcommand{\mSip}{\matindexprime{S}{i}}
-\newcommand{\mTip}{\matindexprime{T}{i}}
-\newcommand{\mUip}{\matindexprime{U}{i}}
-\newcommand{\mVip}{\matindexprime{V}{i}}
-\newcommand{\mWip}{\matindexprime{W}{i}}
-\newcommand{\mXip}{\matindexprime{X}{i}}
-\newcommand{\mYip}{\matindexprime{Y}{i}}
-\newcommand{\mZip}{\matindexprime{Z}{i}}
-\newcommand{\mSigmaip}{\matindexprime{\Sigma}{i}}
-% ]]]
-% "0" (zp) [[[
-\newcommand{\mAzp}{\matindexprime{A}{0}}
-\newcommand{\mBzp}{\matindexprime{B}{0}}
-\newcommand{\mCzp}{\matindexprime{C}{0}}
-\newcommand{\mDzp}{\matindexprime{D}{0}}
-\newcommand{\mEzp}{\matindexprime{E}{0}}
-\newcommand{\mFzp}{\matindexprime{F}{0}}
-\newcommand{\mGzp}{\matindexprime{G}{0}}
-\newcommand{\mHzp}{\matindexprime{H}{0}}
-\newcommand{\mIzp}{\matindexprime{I}{0}}
-\newcommand{\mJzp}{\matindexprime{J}{0}}
-\newcommand{\mKzp}{\matindexprime{K}{0}}
-\newcommand{\mLzp}{\matindexprime{L}{0}}
-\newcommand{\mMzp}{\matindexprime{M}{0}}
-\newcommand{\mNzp}{\matindexprime{N}{0}}
-\newcommand{\mOzp}{\matindexprime{O}{0}}
-\newcommand{\mPzp}{\matindexprime{P}{0}}
-\newcommand{\mQzp}{\matindexprime{Q}{0}}
-\newcommand{\mRzp}{\matindexprime{R}{0}}
-\newcommand{\mSzp}{\matindexprime{S}{0}}
-\newcommand{\mTzp}{\matindexprime{T}{0}}
-\newcommand{\mUzp}{\matindexprime{U}{0}}
-\newcommand{\mVzp}{\matindexprime{V}{0}}
-\newcommand{\mWzp}{\matindexprime{W}{0}}
-\newcommand{\mXzp}{\matindexprime{X}{0}}
-\newcommand{\mYzp}{\matindexprime{Y}{0}}
-\newcommand{\mZzp}{\matindexprime{Z}{0}}
-\newcommand{\mSigmazp}{\matindexprime{\Sigma}{0}}
-% ]]]
-% ]]]
-% ¹ÔÎó + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥Ð¡¼ (barX) [[[
-\newcommand{\matbarindex}[2]{\matbar{#1}_{#2}}
-% "i" (bari) [[[
-\newcommand{\mAbari}{\matbarindex{A}{i}}
-\newcommand{\mBbari}{\matbarindex{B}{i}}
-\newcommand{\mCbari}{\matbarindex{C}{i}}
-\newcommand{\mDbari}{\matbarindex{D}{i}}
-\newcommand{\mEbari}{\matbarindex{E}{i}}
-\newcommand{\mFbari}{\matbarindex{F}{i}}
-\newcommand{\mGbari}{\matbarindex{G}{i}}
-\newcommand{\mHbari}{\matbarindex{H}{i}}
-\newcommand{\mIbari}{\matbarindex{I}{i}}
-\newcommand{\mJbari}{\matbarindex{J}{i}}
-\newcommand{\mKbari}{\matbarindex{K}{i}}
-\newcommand{\mLbari}{\matbarindex{L}{i}}
-\newcommand{\mMbari}{\matbarindex{M}{i}}
-\newcommand{\mNbari}{\matbarindex{N}{i}}
-\newcommand{\mObari}{\matbarindex{O}{i}}
-\newcommand{\mPbari}{\matbarindex{P}{i}}
-\newcommand{\mQbari}{\matbarindex{Q}{i}}
-\newcommand{\mRbari}{\matbarindex{R}{i}}
-\newcommand{\mSbari}{\matbarindex{S}{i}}
-\newcommand{\mTbari}{\matbarindex{T}{i}}
-\newcommand{\mUbari}{\matbarindex{U}{i}}
-\newcommand{\mVbari}{\matbarindex{V}{i}}
-\newcommand{\mWbari}{\matbarindex{W}{i}}
-\newcommand{\mXbari}{\matbarindex{X}{i}}
-\newcommand{\mYbari}{\matbarindex{Y}{i}}
-\newcommand{\mZbari}{\matbarindex{Z}{i}}
-% ]]]
-% "1" (bara) [[[
-\newcommand{\mAbara}{\matbarindex{A}{1}}
-\newcommand{\mBbara}{\matbarindex{B}{1}}
-\newcommand{\mCbara}{\matbarindex{C}{1}}
-\newcommand{\mDbara}{\matbarindex{D}{1}}
-\newcommand{\mEbara}{\matbarindex{E}{1}}
-\newcommand{\mFbara}{\matbarindex{F}{1}}
-\newcommand{\mGbara}{\matbarindex{G}{1}}
-\newcommand{\mHbara}{\matbarindex{H}{1}}
-\newcommand{\mIbara}{\matbarindex{I}{1}}
-\newcommand{\mJbara}{\matbarindex{J}{1}}
-\newcommand{\mKbara}{\matbarindex{K}{1}}
-\newcommand{\mLbara}{\matbarindex{L}{1}}
-\newcommand{\mMbara}{\matbarindex{M}{1}}
-\newcommand{\mNbara}{\matbarindex{N}{1}}
-\newcommand{\mObara}{\matbarindex{O}{1}}
-\newcommand{\mPbara}{\matbarindex{P}{1}}
-\newcommand{\mQbara}{\matbarindex{Q}{1}}
-\newcommand{\mRbara}{\matbarindex{R}{1}}
-\newcommand{\mSbara}{\matbarindex{S}{1}}
-\newcommand{\mTbara}{\matbarindex{T}{1}}
-\newcommand{\mUbara}{\matbarindex{U}{1}}
-\newcommand{\mVbara}{\matbarindex{V}{1}}
-\newcommand{\mWbara}{\matbarindex{W}{1}}
-\newcommand{\mXbara}{\matbarindex{X}{1}}
-\newcommand{\mYbara}{\matbarindex{Y}{1}}
-\newcommand{\mZbara}{\matbarindex{Z}{1}}
-% ]]]
-% "2" (barb) [[[
-\newcommand{\mAbarb}{\matbarindex{A}{2}}
-\newcommand{\mBbarb}{\matbarindex{B}{2}}
-\newcommand{\mCbarb}{\matbarindex{C}{2}}
-\newcommand{\mDbarb}{\matbarindex{D}{2}}
-\newcommand{\mEbarb}{\matbarindex{E}{2}}
-\newcommand{\mFbarb}{\matbarindex{F}{2}}
-\newcommand{\mGbarb}{\matbarindex{G}{2}}
-\newcommand{\mHbarb}{\matbarindex{H}{2}}
-\newcommand{\mIbarb}{\matbarindex{I}{2}}
-\newcommand{\mJbarb}{\matbarindex{J}{2}}
-\newcommand{\mKbarb}{\matbarindex{K}{2}}
-\newcommand{\mLbarb}{\matbarindex{L}{2}}
-\newcommand{\mMbarb}{\matbarindex{M}{2}}
-\newcommand{\mNbarb}{\matbarindex{N}{2}}
-\newcommand{\mObarb}{\matbarindex{O}{2}}
-\newcommand{\mPbarb}{\matbarindex{P}{2}}
-\newcommand{\mQbarb}{\matbarindex{Q}{2}}
-\newcommand{\mRbarb}{\matbarindex{R}{2}}
-\newcommand{\mSbarb}{\matbarindex{S}{2}}
-\newcommand{\mTbarb}{\matbarindex{T}{2}}
-\newcommand{\mUbarb}{\matbarindex{U}{2}}
-\newcommand{\mVbarb}{\matbarindex{V}{2}}
-\newcommand{\mWbarb}{\matbarindex{W}{2}}
-\newcommand{\mXbarb}{\matbarindex{X}{2}}
-\newcommand{\mYbarb}{\matbarindex{Y}{2}}
-\newcommand{\mZbarb}{\matbarindex{Z}{2}}
-% ]]]
-% ]]]
-% µÕ¹ÔÎó (i) [[[
-\newcommand{\matinv}[1]{\mat{#1}^{-1}}
-\newcommand{\mAi}{\matinv{A}}
-\newcommand{\mBi}{\matinv{B}}
-\newcommand{\mCi}{\matinv{C}}
-\newcommand{\mDi}{\matinv{D}}
-\newcommand{\mEi}{\matinv{E}}
-\newcommand{\mFi}{\matinv{F}}
-\newcommand{\mGi}{\matinv{G}}
-\newcommand{\mHi}{\matinv{H}}
-\newcommand{\mIi}{\matinv{I}}
-\newcommand{\mJi}{\matinv{J}}
-\newcommand{\mKi}{\matinv{K}}
-\newcommand{\mLi}{\matinv{L}}
-\newcommand{\mMi}{\matinv{M}}
-\newcommand{\mNi}{\matinv{N}}
-\newcommand{\mOi}{\matinv{O}}
-\newcommand{\mPi}{\matinv{P}}
-\newcommand{\mQi}{\matinv{Q}}
-\newcommand{\mRi}{\matinv{R}}
-\newcommand{\mSi}{\matinv{S}}
-\newcommand{\mTi}{\matinv{T}}
-\newcommand{\mUi}{\matinv{U}}
-\newcommand{\mVi}{\matinv{V}}
-\newcommand{\mWi}{\matinv{W}}
-\newcommand{\mXi}{\matinv{X}}
-\newcommand{\mYi}{\matinv{Y}}
-\newcommand{\mZi}{\matinv{Z}}
-\newcommand{\mSigmai}{\matinv{\Sigma}}
-% ]]]
-% °ìÈ̵չÔÎó (g) [[[
-\newcommand{\matgeneralinv}[1]{\mat{#1}^-}
-\newcommand{\mAg}{\matgeneralinv{A}}
-\newcommand{\mBg}{\matgeneralinv{B}}
-\newcommand{\mCg}{\matgeneralinv{C}}
-\newcommand{\mDg}{\matgeneralinv{D}}
-\newcommand{\mEg}{\matgeneralinv{E}}
-\newcommand{\mFg}{\matgeneralinv{F}}
-\newcommand{\mGg}{\matgeneralinv{G}}
-\newcommand{\mHg}{\matgeneralinv{H}}
-\newcommand{\mIg}{\matgeneralinv{I}}
-\newcommand{\mJg}{\matgeneralinv{J}}
-\newcommand{\mKg}{\matgeneralinv{K}}
-\newcommand{\mLg}{\matgeneralinv{L}}
-\newcommand{\mMg}{\matgeneralinv{M}}
-\newcommand{\mNg}{\matgeneralinv{N}}
-\newcommand{\mOg}{\matgeneralinv{O}}
-\newcommand{\mPg}{\matgeneralinv{P}}
-\newcommand{\mQg}{\matgeneralinv{Q}}
-\newcommand{\mRg}{\matgeneralinv{R}}
-\newcommand{\mSg}{\matgeneralinv{S}}
-\newcommand{\mTg}{\matgeneralinv{T}}
-\newcommand{\mUg}{\matgeneralinv{U}}
-\newcommand{\mVg}{\matgeneralinv{V}}
-\newcommand{\mWg}{\matgeneralinv{W}}
-\newcommand{\mXg}{\matgeneralinv{X}}
-\newcommand{\mYg}{\matgeneralinv{Y}}
-\newcommand{\mZg}{\matgeneralinv{Z}}
-\newcommand{\mSigmag}{\matgeneralinv{\Sigma}}
-% ]]]
-% ¥×¥é¥¤¥à + µÕ¹ÔÎó (pi) [[[
-\newcommand{\matprimeinv}[1]{\matprime{#1}^{-1}}
-\newcommand{\mApi}{\matprimeinv{A}}
-\newcommand{\mBpi}{\matprimeinv{B}}
-\newcommand{\mCpi}{\matprimeinv{C}}
-\newcommand{\mDpi}{\matprimeinv{D}}
-\newcommand{\mEpi}{\matprimeinv{E}}
-\newcommand{\mFpi}{\matprimeinv{F}}
-\newcommand{\mGpi}{\matprimeinv{G}}
-\newcommand{\mHpi}{\matprimeinv{H}}
-\newcommand{\mIpi}{\matprimeinv{I}}
-\newcommand{\mJpi}{\matprimeinv{J}}
-\newcommand{\mKpi}{\matprimeinv{K}}
-\newcommand{\mLpi}{\matprimeinv{L}}
-\newcommand{\mMpi}{\matprimeinv{M}}
-\newcommand{\mNpi}{\matprimeinv{N}}
-\newcommand{\mOpi}{\matprimeinv{O}}
-\newcommand{\mPpi}{\matprimeinv{P}}
-\newcommand{\mQpi}{\matprimeinv{Q}}
-\newcommand{\mRpi}{\matprimeinv{R}}
-\newcommand{\mSpi}{\matprimeinv{S}}
-\newcommand{\mTpi}{\matprimeinv{T}}
-\newcommand{\mUpi}{\matprimeinv{U}}
-\newcommand{\mVpi}{\matprimeinv{V}}
-\newcommand{\mWpi}{\matprimeinv{W}}
-\newcommand{\mXpi}{\matprimeinv{X}}
-\newcommand{\mYpi}{\matprimeinv{Y}}
-\newcommand{\mZpi}{\matprimeinv{Z}}
-\newcommand{\mSigmapi}{\matprimeinv{\Sigma}}
-% ]]]
-% ¥¤¥ó¥Ç¥Ã¥¯¥¹ + µÕ¹ÔÎó (Xi) [[[
-\newcommand{\matindexinv}[2]{\matindex{#1}{#2}^{-1}}
-% "0" (zi) [[[
-\newcommand{\mAzi}{\matindexinv{A}{0}}
-\newcommand{\mBzi}{\matindexinv{B}{0}}
-\newcommand{\mCzi}{\matindexinv{C}{0}}
-\newcommand{\mDzi}{\matindexinv{D}{0}}
-\newcommand{\mEzi}{\matindexinv{E}{0}}
-\newcommand{\mFzi}{\matindexinv{F}{0}}
-\newcommand{\mGzi}{\matindexinv{G}{0}}
-\newcommand{\mHzi}{\matindexinv{H}{0}}
-\newcommand{\mIzi}{\matindexinv{I}{0}}
-\newcommand{\mJzi}{\matindexinv{J}{0}}
-\newcommand{\mKzi}{\matindexinv{K}{0}}
-\newcommand{\mLzi}{\matindexinv{L}{0}}
-\newcommand{\mMzi}{\matindexinv{M}{0}}
-\newcommand{\mNzi}{\matindexinv{N}{0}}
-\newcommand{\mOzi}{\matindexinv{O}{0}}
-\newcommand{\mPzi}{\matindexinv{P}{0}}
-\newcommand{\mQzi}{\matindexinv{Q}{0}}
-\newcommand{\mRzi}{\matindexinv{R}{0}}
-\newcommand{\mSzi}{\matindexinv{S}{0}}
-\newcommand{\mTzi}{\matindexinv{T}{0}}
-\newcommand{\mUzi}{\matindexinv{U}{0}}
-\newcommand{\mVzi}{\matindexinv{V}{0}}
-\newcommand{\mWzi}{\matindexinv{W}{0}}
-\newcommand{\mXzi}{\matindexinv{X}{0}}
-\newcommand{\mYzi}{\matindexinv{Y}{0}}
-\newcommand{\mZzi}{\matindexinv{Z}{0}}
-\newcommand{\mSigmazi}{\matindexinv{\Sigma}{0}}
-% ]]]
-% "1" (ai) [[[
-\newcommand{\mAai}{\matindexinv{A}{1}}
-\newcommand{\mBai}{\matindexinv{B}{1}}
-\newcommand{\mCai}{\matindexinv{C}{1}}
-\newcommand{\mDai}{\matindexinv{D}{1}}
-\newcommand{\mEai}{\matindexinv{E}{1}}
-\newcommand{\mFai}{\matindexinv{F}{1}}
-\newcommand{\mGai}{\matindexinv{G}{1}}
-\newcommand{\mHai}{\matindexinv{H}{1}}
-\newcommand{\mIai}{\matindexinv{I}{1}}
-\newcommand{\mJai}{\matindexinv{J}{1}}
-\newcommand{\mKai}{\matindexinv{K}{1}}
-\newcommand{\mLai}{\matindexinv{L}{1}}
-\newcommand{\mMai}{\matindexinv{M}{1}}
-\newcommand{\mNai}{\matindexinv{N}{1}}
-\newcommand{\mOai}{\matindexinv{O}{1}}
-\newcommand{\mPai}{\matindexinv{P}{1}}
-\newcommand{\mQai}{\matindexinv{Q}{1}}
-\newcommand{\mRai}{\matindexinv{R}{1}}
-\newcommand{\mSai}{\matindexinv{S}{1}}
-\newcommand{\mTai}{\matindexinv{T}{1}}
-\newcommand{\mUai}{\matindexinv{U}{1}}
-\newcommand{\mVai}{\matindexinv{V}{1}}
-\newcommand{\mWai}{\matindexinv{W}{1}}
-\newcommand{\mXai}{\matindexinv{X}{1}}
-\newcommand{\mYai}{\matindexinv{Y}{1}}
-\newcommand{\mZai}{\matindexinv{Z}{1}}
-\newcommand{\mSigmaai}{\matindexinv{\Sigma}{1}}
-% ]]]
-% "2" (bi) [[[
-\newcommand{\mAbi}{\matindexinv{A}{2}}
-\newcommand{\mBbi}{\matindexinv{B}{2}}
-\newcommand{\mCbi}{\matindexinv{C}{2}}
-\newcommand{\mDbi}{\matindexinv{D}{2}}
-\newcommand{\mEbi}{\matindexinv{E}{2}}
-\newcommand{\mFbi}{\matindexinv{F}{2}}
-\newcommand{\mGbi}{\matindexinv{G}{2}}
-\newcommand{\mHbi}{\matindexinv{H}{2}}
-\newcommand{\mIbi}{\matindexinv{I}{2}}
-\newcommand{\mJbi}{\matindexinv{J}{2}}
-\newcommand{\mKbi}{\matindexinv{K}{2}}
-\newcommand{\mLbi}{\matindexinv{L}{2}}
-\newcommand{\mMbi}{\matindexinv{M}{2}}
-\newcommand{\mNbi}{\matindexinv{N}{2}}
-\newcommand{\mObi}{\matindexinv{O}{2}}
-\newcommand{\mPbi}{\matindexinv{P}{2}}
-\newcommand{\mQbi}{\matindexinv{Q}{2}}
-\newcommand{\mRbi}{\matindexinv{R}{2}}
-\newcommand{\mSbi}{\matindexinv{S}{2}}
-\newcommand{\mTbi}{\matindexinv{T}{2}}
-\newcommand{\mUbi}{\matindexinv{U}{2}}
-\newcommand{\mVbi}{\matindexinv{V}{2}}
-\newcommand{\mWbi}{\matindexinv{W}{2}}
-\newcommand{\mXbi}{\matindexinv{X}{2}}
-\newcommand{\mYbi}{\matindexinv{Y}{2}}
-\newcommand{\mZbi}{\matindexinv{Z}{2}}
-\newcommand{\mSigmabi}{\matindexinv{\Sigma}{2}}
-% ]]]
-% ]]]
-% ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥×¥é¥¤¥à + µÕ¹ÔÎó (Xpi) [[[
-\newcommand{\matindexprimeinv}[2]{\matindexprime{#1}{#2}{}^{\!-1}}
-% "i" (ipi) [[[
-\newcommand{\mAipi}{\matindexprimeinv{A}{i}}
-\newcommand{\mBipi}{\matindexprimeinv{B}{i}}
-\newcommand{\mCipi}{\matindexprimeinv{C}{i}}
-\newcommand{\mDipi}{\matindexprimeinv{D}{i}}
-\newcommand{\mEipi}{\matindexprimeinv{E}{i}}
-\newcommand{\mFipi}{\matindexprimeinv{F}{i}}
-\newcommand{\mGipi}{\matindexprimeinv{G}{i}}
-\newcommand{\mHipi}{\matindexprimeinv{H}{i}}
-\newcommand{\mIipi}{\matindexprimeinv{I}{i}}
-\newcommand{\mJipi}{\matindexprimeinv{J}{i}}
-\newcommand{\mKipi}{\matindexprimeinv{K}{i}}
-\newcommand{\mLipi}{\matindexprimeinv{L}{i}}
-\newcommand{\mMipi}{\matindexprimeinv{M}{i}}
-\newcommand{\mNipi}{\matindexprimeinv{N}{i}}
-\newcommand{\mOipi}{\matindexprimeinv{O}{i}}
-\newcommand{\mPipi}{\matindexprimeinv{P}{i}}
-\newcommand{\mQipi}{\matindexprimeinv{Q}{i}}
-\newcommand{\mRipi}{\matindexprimeinv{R}{i}}
-\newcommand{\mSipi}{\matindexprimeinv{S}{i}}
-\newcommand{\mTipi}{\matindexprimeinv{T}{i}}
-\newcommand{\mUipi}{\matindexprimeinv{U}{i}}
-\newcommand{\mVipi}{\matindexprimeinv{V}{i}}
-\newcommand{\mWipi}{\matindexprimeinv{W}{i}}
-\newcommand{\mXipi}{\matindexprimeinv{X}{i}}
-\newcommand{\mYipi}{\matindexprimeinv{Y}{i}}
-\newcommand{\mZipi}{\matindexprimeinv{Z}{i}}
-\newcommand{\mSigmaipi}{\matindexprimeinv{\Sigma}{i}}
-% ]]]
-% "0" (zpi) [[[
-\newcommand{\mAzpi}{\matindexprimeinv{A}{0}}
-\newcommand{\mBzpi}{\matindexprimeinv{B}{0}}
-\newcommand{\mCzpi}{\matindexprimeinv{C}{0}}
-\newcommand{\mDzpi}{\matindexprimeinv{D}{0}}
-\newcommand{\mEzpi}{\matindexprimeinv{E}{0}}
-\newcommand{\mFzpi}{\matindexprimeinv{F}{0}}
-\newcommand{\mGzpi}{\matindexprimeinv{G}{0}}
-\newcommand{\mHzpi}{\matindexprimeinv{H}{0}}
-\newcommand{\mIzpi}{\matindexprimeinv{I}{0}}
-\newcommand{\mJzpi}{\matindexprimeinv{J}{0}}
-\newcommand{\mKzpi}{\matindexprimeinv{K}{0}}
-\newcommand{\mLzpi}{\matindexprimeinv{L}{0}}
-\newcommand{\mMzpi}{\matindexprimeinv{M}{0}}
-\newcommand{\mNzpi}{\matindexprimeinv{N}{0}}
-\newcommand{\mOzpi}{\matindexprimeinv{O}{0}}
-\newcommand{\mPzpi}{\matindexprimeinv{P}{0}}
-\newcommand{\mQzpi}{\matindexprimeinv{Q}{0}}
-\newcommand{\mRzpi}{\matindexprimeinv{R}{0}}
-\newcommand{\mSzpi}{\matindexprimeinv{S}{0}}
-\newcommand{\mTzpi}{\matindexprimeinv{T}{0}}
-\newcommand{\mUzpi}{\matindexprimeinv{U}{0}}
-\newcommand{\mVzpi}{\matindexprimeinv{V}{0}}
-\newcommand{\mWzpi}{\matindexprimeinv{W}{0}}
-\newcommand{\mXzpi}{\matindexprimeinv{X}{0}}
-\newcommand{\mYzpi}{\matindexprimeinv{Y}{0}}
-\newcommand{\mZzpi}{\matindexprimeinv{Z}{0}}
-\newcommand{\mSigmazpi}{\matindexprimeinv{\Sigma}{0}}
-% ]]]
-% "1" (api) [[[
-\newcommand{\mAapi}{\matindexprimeinv{A}{1}}
-\newcommand{\mBapi}{\matindexprimeinv{B}{1}}
-\newcommand{\mCapi}{\matindexprimeinv{C}{1}}
-\newcommand{\mDapi}{\matindexprimeinv{D}{1}}
-\newcommand{\mEapi}{\matindexprimeinv{E}{1}}
-\newcommand{\mFapi}{\matindexprimeinv{F}{1}}
-\newcommand{\mGapi}{\matindexprimeinv{G}{1}}
-\newcommand{\mHapi}{\matindexprimeinv{H}{1}}
-\newcommand{\mIapi}{\matindexprimeinv{I}{1}}
-\newcommand{\mJapi}{\matindexprimeinv{J}{1}}
-\newcommand{\mKapi}{\matindexprimeinv{K}{1}}
-\newcommand{\mLapi}{\matindexprimeinv{L}{1}}
-\newcommand{\mMapi}{\matindexprimeinv{M}{1}}
-\newcommand{\mNapi}{\matindexprimeinv{N}{1}}
-\newcommand{\mOapi}{\matindexprimeinv{O}{1}}
-\newcommand{\mPapi}{\matindexprimeinv{P}{1}}
-\newcommand{\mQapi}{\matindexprimeinv{Q}{1}}
-\newcommand{\mRapi}{\matindexprimeinv{R}{1}}
-\newcommand{\mSapi}{\matindexprimeinv{S}{1}}
-\newcommand{\mTapi}{\matindexprimeinv{T}{1}}
-\newcommand{\mUapi}{\matindexprimeinv{U}{1}}
-\newcommand{\mVapi}{\matindexprimeinv{V}{1}}
-\newcommand{\mWapi}{\matindexprimeinv{W}{1}}
-\newcommand{\mXapi}{\matindexprimeinv{X}{1}}
-\newcommand{\mYapi}{\matindexprimeinv{Y}{1}}
-\newcommand{\mZapi}{\matindexprimeinv{Z}{1}}
-\newcommand{\mSigmaapi}{\matindexprimeinv{\Sigma}{1}}
-% ]]]
-% ]]]
-% ¹ÔÎó + Å¾ÃÖ (t) [[[
-\newcommand{\mattranspose}[1]{\mat{#1}^{\top}\!}       % ¶õÇòÄ´À°Æþ¤ê
-\newcommand{\mAt}{\mattranspose{A}}
-\newcommand{\mBt}{\mattranspose{B}}
-\newcommand{\mCt}{\mattranspose{C}}
-\newcommand{\mDt}{\mattranspose{D}}
-\newcommand{\mEt}{\mattranspose{E}}
-\newcommand{\mFt}{\mattranspose{F}}
-\newcommand{\mGt}{\mattranspose{G}}
-\newcommand{\mHt}{\mattranspose{H}}
-\newcommand{\mIt}{\mattranspose{I}}
-\newcommand{\mJt}{\mattranspose{J}}
-\newcommand{\mKt}{\mattranspose{K}}
-\newcommand{\mLt}{\mattranspose{L}}
-\newcommand{\mMt}{\mattranspose{M}}
-\newcommand{\mNt}{\mattranspose{N}}
-\newcommand{\mOt}{\mattranspose{O}}
-\newcommand{\mPt}{\mattranspose{P}}
-\newcommand{\mQt}{\mattranspose{Q}}
-\newcommand{\mRt}{\mattranspose{R}}
-\newcommand{\mSt}{\mattranspose{S}}
-\newcommand{\mTt}{\mattranspose{T}}
-\newcommand{\mUt}{\mattranspose{U}}
-\newcommand{\mVt}{\mattranspose{V}}
-\newcommand{\mWt}{\mattranspose{W}}
-\newcommand{\mXt}{\mattranspose{X}}
-\newcommand{\mYt}{\mattranspose{Y}}
-\newcommand{\mZt}{\mattranspose{Z}}
-% ]]]
-% ¹ÔÎó + ¥×¥é¥¤¥à + Å¾ÃÖ (pt) [[[
-\newcommand{\matprimetranspose}[1]{\matprime{#1}\!^{\top}}     % ¶õÇòÄ´À°Æþ¤ê
-\newcommand{\mApt}{\matprimetranspose{A}}
-\newcommand{\mBpt}{\matprimetranspose{B}}
-\newcommand{\mCpt}{\matprimetranspose{C}}
-\newcommand{\mDpt}{\matprimetranspose{D}}
-\newcommand{\mEpt}{\matprimetranspose{E}}
-\newcommand{\mFpt}{\matprimetranspose{F}}
-\newcommand{\mGpt}{\matprimetranspose{G}}
-\newcommand{\mHpt}{\matprimetranspose{H}}
-\newcommand{\mIpt}{\matprimetranspose{I}}
-\newcommand{\mJpt}{\matprimetranspose{J}}
-\newcommand{\mKpt}{\matprimetranspose{K}}
-\newcommand{\mLpt}{\matprimetranspose{L}}
-\newcommand{\mMpt}{\matprimetranspose{M}}
-\newcommand{\mNpt}{\matprimetranspose{N}}
-\newcommand{\mOpt}{\matprimetranspose{O}}
-\newcommand{\mPpt}{\matprimetranspose{P}}
-\newcommand{\mQpt}{\matprimetranspose{Q}}
-\newcommand{\mRpt}{\matprimetranspose{R}}
-\newcommand{\mSpt}{\matprimetranspose{S}}
-\newcommand{\mTpt}{\matprimetranspose{T}}
-\newcommand{\mUpt}{\matprimetranspose{U}}
-\newcommand{\mVpt}{\matprimetranspose{V}}
-\newcommand{\mWpt}{\matprimetranspose{W}}
-\newcommand{\mXpt}{\matprimetranspose{X}}
-\newcommand{\mYpt}{\matprimetranspose{Y}}
-\newcommand{\mZpt}{\matprimetranspose{Z}}
-% ]]]
-% ¹ÔÎó + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + Å¾ÃÖ (Xt) [[[
-\newcommand{\matindextranspose}[2]{\matindex{#1}{#2}^{\top}}   % ¶õÇòÄ´À°Æþ¤ê
-% "0" (zt) [[[
-\newcommand{\mAzt}{\matindextranspose{A}{0}}
-\newcommand{\mBzt}{\matindextranspose{B}{0}}
-\newcommand{\mCzt}{\matindextranspose{C}{0}}
-\newcommand{\mDzt}{\matindextranspose{D}{0}}
-\newcommand{\mEzt}{\matindextranspose{E}{0}}
-\newcommand{\mFzt}{\matindextranspose{F}{0}}
-\newcommand{\mGzt}{\matindextranspose{G}{0}}
-\newcommand{\mHzt}{\matindextranspose{H}{0}}
-\newcommand{\mIzt}{\matindextranspose{I}{0}}
-\newcommand{\mJzt}{\matindextranspose{J}{0}}
-\newcommand{\mKzt}{\matindextranspose{K}{0}}
-\newcommand{\mLzt}{\matindextranspose{L}{0}}
-\newcommand{\mMzt}{\matindextranspose{M}{0}}
-\newcommand{\mNzt}{\matindextranspose{N}{0}}
-\newcommand{\mOzt}{\matindextranspose{O}{0}}
-\newcommand{\mPzt}{\matindextranspose{P}{0}}
-\newcommand{\mQzt}{\matindextranspose{Q}{0}}
-\newcommand{\mRzt}{\matindextranspose{R}{0}}
-\newcommand{\mSzt}{\matindextranspose{S}{0}}
-\newcommand{\mTzt}{\matindextranspose{T}{0}}
-\newcommand{\mUzt}{\matindextranspose{U}{0}}
-\newcommand{\mVzt}{\matindextranspose{V}{0}}
-\newcommand{\mWzt}{\matindextranspose{W}{0}}
-\newcommand{\mXzt}{\matindextranspose{X}{0}}
-\newcommand{\mYzt}{\matindextranspose{Y}{0}}
-\newcommand{\mZzt}{\matindextranspose{Z}{0}}
-% ]]]
-% "1" (at) [[[
-\newcommand{\mAat}{\matindextranspose{A}{1}}
-\newcommand{\mBat}{\matindextranspose{B}{1}}
-\newcommand{\mCat}{\matindextranspose{C}{1}}
-\newcommand{\mDat}{\matindextranspose{D}{1}}
-\newcommand{\mEat}{\matindextranspose{E}{1}}
-\newcommand{\mFat}{\matindextranspose{F}{1}}
-\newcommand{\mGat}{\matindextranspose{G}{1}}
-\newcommand{\mHat}{\matindextranspose{H}{1}}
-\newcommand{\mIat}{\matindextranspose{I}{1}}
-\newcommand{\mJat}{\matindextranspose{J}{1}}
-\newcommand{\mKat}{\matindextranspose{K}{1}}
-\newcommand{\mLat}{\matindextranspose{L}{1}}
-\newcommand{\mMat}{\matindextranspose{M}{1}}
-\newcommand{\mNat}{\matindextranspose{N}{1}}
-\newcommand{\mOat}{\matindextranspose{O}{1}}
-\newcommand{\mPat}{\matindextranspose{P}{1}}
-\newcommand{\mQat}{\matindextranspose{Q}{1}}
-\newcommand{\mRat}{\matindextranspose{R}{1}}
-\newcommand{\mSat}{\matindextranspose{S}{1}}
-\newcommand{\mTat}{\matindextranspose{T}{1}}
-\newcommand{\mUat}{\matindextranspose{U}{1}}
-\newcommand{\mVat}{\matindextranspose{V}{1}}
-\newcommand{\mWat}{\matindextranspose{W}{1}}
-\newcommand{\mXat}{\matindextranspose{X}{1}}
-\newcommand{\mYat}{\matindextranspose{Y}{1}}
-\newcommand{\mZat}{\matindextranspose{Z}{1}}
-% ]]]
-% "2" (bt) [[[
-\newcommand{\mAbt}{\matindextranspose{A}{2}}
-\newcommand{\mBbt}{\matindextranspose{B}{2}}
-\newcommand{\mCbt}{\matindextranspose{C}{2}}
-\newcommand{\mDbt}{\matindextranspose{D}{2}}
-\newcommand{\mEbt}{\matindextranspose{E}{2}}
-\newcommand{\mFbt}{\matindextranspose{F}{2}}
-\newcommand{\mGbt}{\matindextranspose{G}{2}}
-\newcommand{\mHbt}{\matindextranspose{H}{2}}
-\newcommand{\mIbt}{\matindextranspose{I}{2}}
-\newcommand{\mJbt}{\matindextranspose{J}{2}}
-\newcommand{\mKbt}{\matindextranspose{K}{2}}
-\newcommand{\mLbt}{\matindextranspose{L}{2}}
-\newcommand{\mMbt}{\matindextranspose{M}{2}}
-\newcommand{\mNbt}{\matindextranspose{N}{2}}
-\newcommand{\mObt}{\matindextranspose{O}{2}}
-\newcommand{\mPbt}{\matindextranspose{P}{2}}
-\newcommand{\mQbt}{\matindextranspose{Q}{2}}
-\newcommand{\mRbt}{\matindextranspose{R}{2}}
-\newcommand{\mSbt}{\matindextranspose{S}{2}}
-\newcommand{\mTbt}{\matindextranspose{T}{2}}
-\newcommand{\mUbt}{\matindextranspose{U}{2}}
-\newcommand{\mVbt}{\matindextranspose{V}{2}}
-\newcommand{\mWbt}{\matindextranspose{W}{2}}
-\newcommand{\mXbt}{\matindextranspose{X}{2}}
-\newcommand{\mYbt}{\matindextranspose{Y}{2}}
-\newcommand{\mZbt}{\matindextranspose{Z}{2}}
-% ]]]
-% ]]]
-% ¹ÔÎó + ¥¤¥ó¥Ç¥Ã¥¯¥¹ + ¥×¥é¥¤¥à + Å¾ÃÖ (Xpt) [[[
-\newcommand{\matindexprimetranspose}[2]{\matindexprime{#1}{#2}\!^{\top}}       % ¶õÇòÄ´À°Æþ¤ê
-% "i" (ipt) [[[
-\newcommand{\mAipt}{\matindexprimetranspose{A}{i}}
-\newcommand{\mBipt}{\matindexprimetranspose{B}{i}}
-\newcommand{\mCipt}{\matindexprimetranspose{C}{i}}
-\newcommand{\mDipt}{\matindexprimetranspose{D}{i}}
-\newcommand{\mEipt}{\matindexprimetranspose{E}{i}}
-\newcommand{\mFipt}{\matindexprimetranspose{F}{i}}
-\newcommand{\mGipt}{\matindexprimetranspose{G}{i}}
-\newcommand{\mHipt}{\matindexprimetranspose{H}{i}}
-\newcommand{\mIipt}{\matindexprimetranspose{I}{i}}
-\newcommand{\mJipt}{\matindexprimetranspose{J}{i}}
-\newcommand{\mKipt}{\matindexprimetranspose{K}{i}}
-\newcommand{\mLipt}{\matindexprimetranspose{L}{i}}
-\newcommand{\mMipt}{\matindexprimetranspose{M}{i}}
-\newcommand{\mNipt}{\matindexprimetranspose{N}{i}}
-\newcommand{\mOipt}{\matindexprimetranspose{O}{i}}
-\newcommand{\mPipt}{\matindexprimetranspose{P}{i}}
-\newcommand{\mQipt}{\matindexprimetranspose{Q}{i}}
-\newcommand{\mRipt}{\matindexprimetranspose{R}{i}}
-\newcommand{\mSipt}{\matindexprimetranspose{S}{i}}
-\newcommand{\mTipt}{\matindexprimetranspose{T}{i}}
-\newcommand{\mUipt}{\matindexprimetranspose{U}{i}}
-\newcommand{\mVipt}{\matindexprimetranspose{V}{i}}
-\newcommand{\mWipt}{\matindexprimetranspose{W}{i}}
-\newcommand{\mXipt}{\matindexprimetranspose{X}{i}}
-\newcommand{\mYipt}{\matindexprimetranspose{Y}{i}}
-\newcommand{\mZipt}{\matindexprimetranspose{Z}{i}}
-% ]]]
-% "0" (zpt) [[[
-\newcommand{\mAzpt}{\matindexprimetranspose{A}{0}}
-\newcommand{\mBzpt}{\matindexprimetranspose{B}{0}}
-\newcommand{\mCzpt}{\matindexprimetranspose{C}{0}}
-\newcommand{\mDzpt}{\matindexprimetranspose{D}{0}}
-\newcommand{\mEzpt}{\matindexprimetranspose{E}{0}}
-\newcommand{\mFzpt}{\matindexprimetranspose{F}{0}}
-\newcommand{\mGzpt}{\matindexprimetranspose{G}{0}}
-\newcommand{\mHzpt}{\matindexprimetranspose{H}{0}}
-\newcommand{\mIzpt}{\matindexprimetranspose{I}{0}}
-\newcommand{\mJzpt}{\matindexprimetranspose{J}{0}}
-\newcommand{\mKzpt}{\matindexprimetranspose{K}{0}}
-\newcommand{\mLzpt}{\matindexprimetranspose{L}{0}}
-\newcommand{\mMzpt}{\matindexprimetranspose{M}{0}}
-\newcommand{\mNzpt}{\matindexprimetranspose{N}{0}}
-\newcommand{\mOzpt}{\matindexprimetranspose{O}{0}}
-\newcommand{\mPzpt}{\matindexprimetranspose{P}{0}}
-\newcommand{\mQzpt}{\matindexprimetranspose{Q}{0}}
-\newcommand{\mRzpt}{\matindexprimetranspose{R}{0}}
-\newcommand{\mSzpt}{\matindexprimetranspose{S}{0}}
-\newcommand{\mTzpt}{\matindexprimetranspose{T}{0}}
-\newcommand{\mUzpt}{\matindexprimetranspose{U}{0}}
-\newcommand{\mVzpt}{\matindexprimetranspose{V}{0}}
-\newcommand{\mWzpt}{\matindexprimetranspose{W}{0}}
-\newcommand{\mXzpt}{\matindexprimetranspose{X}{0}}
-\newcommand{\mYzpt}{\matindexprimetranspose{Y}{0}}
-\newcommand{\mZzpt}{\matindexprimetranspose{Z}{0}}
-% ]]]
-% "1" (apt) [[[
-\newcommand{\mAapt}{\matindexprimetranspose{A}{1}}
-\newcommand{\mBapt}{\matindexprimetranspose{B}{1}}
-\newcommand{\mCapt}{\matindexprimetranspose{C}{1}}
-\newcommand{\mDapt}{\matindexprimetranspose{D}{1}}
-\newcommand{\mEapt}{\matindexprimetranspose{E}{1}}
-\newcommand{\mFapt}{\matindexprimetranspose{F}{1}}
-\newcommand{\mGapt}{\matindexprimetranspose{G}{1}}
-\newcommand{\mHapt}{\matindexprimetranspose{H}{1}}
-\newcommand{\mIapt}{\matindexprimetranspose{I}{1}}
-\newcommand{\mJapt}{\matindexprimetranspose{J}{1}}
-\newcommand{\mKapt}{\matindexprimetranspose{K}{1}}
-\newcommand{\mLapt}{\matindexprimetranspose{L}{1}}
-\newcommand{\mMapt}{\matindexprimetranspose{M}{1}}
-\newcommand{\mNapt}{\matindexprimetranspose{N}{1}}
-\newcommand{\mOapt}{\matindexprimetranspose{O}{1}}
-\newcommand{\mPapt}{\matindexprimetranspose{P}{1}}
-\newcommand{\mQapt}{\matindexprimetranspose{Q}{1}}
-\newcommand{\mRapt}{\matindexprimetranspose{R}{1}}
-\newcommand{\mSapt}{\matindexprimetranspose{S}{1}}
-\newcommand{\mTapt}{\matindexprimetranspose{T}{1}}
-\newcommand{\mUapt}{\matindexprimetranspose{U}{1}}
-\newcommand{\mVapt}{\matindexprimetranspose{V}{1}}
-\newcommand{\mWapt}{\matindexprimetranspose{W}{1}}
-\newcommand{\mXapt}{\matindexprimetranspose{X}{1}}
-\newcommand{\mYapt}{\matindexprimetranspose{Y}{1}}
-\newcommand{\mZapt}{\matindexprimetranspose{Z}{1}}
-% ]]]
-% "2" (bpt) [[[
-\newcommand{\mAbpt}{\matindexprimetranspose{A}{2}}
-\newcommand{\mBbpt}{\matindexprimetranspose{B}{2}}
-\newcommand{\mCbpt}{\matindexprimetranspose{C}{2}}
-\newcommand{\mDbpt}{\matindexprimetranspose{D}{2}}
-\newcommand{\mEbpt}{\matindexprimetranspose{E}{2}}
-\newcommand{\mFbpt}{\matindexprimetranspose{F}{2}}
-\newcommand{\mGbpt}{\matindexprimetranspose{G}{2}}
-\newcommand{\mHbpt}{\matindexprimetranspose{H}{2}}
-\newcommand{\mIbpt}{\matindexprimetranspose{I}{2}}
-\newcommand{\mJbpt}{\matindexprimetranspose{J}{2}}
-\newcommand{\mKbpt}{\matindexprimetranspose{K}{2}}
-\newcommand{\mLbpt}{\matindexprimetranspose{L}{2}}
-\newcommand{\mMbpt}{\matindexprimetranspose{M}{2}}
-\newcommand{\mNbpt}{\matindexprimetranspose{N}{2}}
-\newcommand{\mObpt}{\matindexprimetranspose{O}{2}}
-\newcommand{\mPbpt}{\matindexprimetranspose{P}{2}}
-\newcommand{\mQbpt}{\matindexprimetranspose{Q}{2}}
-\newcommand{\mRbpt}{\matindexprimetranspose{R}{2}}
-\newcommand{\mSbpt}{\matindexprimetranspose{S}{2}}
-\newcommand{\mTbpt}{\matindexprimetranspose{T}{2}}
-\newcommand{\mUbpt}{\matindexprimetranspose{U}{2}}
-\newcommand{\mVbpt}{\matindexprimetranspose{V}{2}}
-\newcommand{\mWbpt}{\matindexprimetranspose{W}{2}}
-\newcommand{\mXbpt}{\matindexprimetranspose{X}{2}}
-\newcommand{\mYbpt}{\matindexprimetranspose{Y}{2}}
-\newcommand{\mZbpt}{\matindexprimetranspose{Z}{2}}
-% ]]]
-% "3" (cpt) [[[
-\newcommand{\mAcpt}{\matindexprimetranspose{A}{3}}
-\newcommand{\mBcpt}{\matindexprimetranspose{B}{3}}
-\newcommand{\mCcpt}{\matindexprimetranspose{C}{3}}
-\newcommand{\mDcpt}{\matindexprimetranspose{D}{3}}
-\newcommand{\mEcpt}{\matindexprimetranspose{E}{3}}
-\newcommand{\mFcpt}{\matindexprimetranspose{F}{3}}
-\newcommand{\mGcpt}{\matindexprimetranspose{G}{3}}
-\newcommand{\mHcpt}{\matindexprimetranspose{H}{3}}
-\newcommand{\mIcpt}{\matindexprimetranspose{I}{3}}
-\newcommand{\mJcpt}{\matindexprimetranspose{J}{3}}
-\newcommand{\mKcpt}{\matindexprimetranspose{K}{3}}
-\newcommand{\mLcpt}{\matindexprimetranspose{L}{3}}
-\newcommand{\mMcpt}{\matindexprimetranspose{M}{3}}
-\newcommand{\mNcpt}{\matindexprimetranspose{N}{3}}
-\newcommand{\mOcpt}{\matindexprimetranspose{O}{3}}
-\newcommand{\mPcpt}{\matindexprimetranspose{P}{3}}
-\newcommand{\mQcpt}{\matindexprimetranspose{Q}{3}}
-\newcommand{\mRcpt}{\matindexprimetranspose{R}{3}}
-\newcommand{\mScpt}{\matindexprimetranspose{S}{3}}
-\newcommand{\mTcpt}{\matindexprimetranspose{T}{3}}
-\newcommand{\mUcpt}{\matindexprimetranspose{U}{3}}
-\newcommand{\mVcpt}{\matindexprimetranspose{V}{3}}
-\newcommand{\mWcpt}{\matindexprimetranspose{W}{3}}
-\newcommand{\mXcpt}{\matindexprimetranspose{X}{3}}
-\newcommand{\mYcpt}{\matindexprimetranspose{Y}{3}}
-\newcommand{\mZcpt}{\matindexprimetranspose{Z}{3}}
-% ]]]
-% ]]]
-% µÕ¹ÔÎó + Å¾ÃÖ (it) [[[
-\newcommand{\matinvtranspose}[1]{\mat{#1}^{-\top}}
-\newcommand{\mAit}{\matinvtranspose{A}}
-\newcommand{\mBit}{\matinvtranspose{B}}
-\newcommand{\mCit}{\matinvtranspose{C}}
-\newcommand{\mDit}{\matinvtranspose{D}}
-\newcommand{\mEit}{\matinvtranspose{E}}
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-\newcommand{\matindexinvtranspose}[2]{\matinvtranspose{#1}_{#2}}
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-% ¥Æ¥ó¥½¥ë [[[
-\newcommand{\tensor}[1]{\mathcal{#1}}
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-\newcommand{\tensorprime}[1]{\tensor{#1}'}
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-\newcommand{\tensorhat}[1]{\hat{\tensor{#1}}}
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-\newcommand{\tZh}{\tensorhat{Z}}
-% ]]]
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-\newcommand{\tensorbar}[1]{\bar{\tensor{#1}}}
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-\newcommand{\tGbar}{\tensorbar{G}}
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-\newcommand{\tJbar}{\tensorbar{J}}
-\newcommand{\tKbar}{\tensorbar{K}}
-\newcommand{\tLbar}{\tensorbar{L}}
-\newcommand{\tMbar}{\tensorbar{M}}
-\newcommand{\tNbar}{\tensorbar{N}}
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-% ]]]
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-\newcommand{\tensorgeneralinv}[1]{\tensor{#1}^-}
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-\newcommand{\tZg}{\tensorgeneralinv{Z}}
-% ]]]
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-\newcommand{\cK}{\mathbfcal{K}}
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-\newcommand{\cZ}{\mathbfcal{Z}}
-% ]]]
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-\newcommand{\bA}{\mathbb{A}}
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-\newcommand{\bC}{\mathbb{C}}
-\newcommand{\bD}{\mathbb{D}}
-\newcommand{\bE}{\mathbb{E}}
-\newcommand{\bF}{\mathbb{F}}
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-% ]]]
-
-% ¥Ç¥ë¥¿µ­¹æ
-\newcommand{\D}[1]{\Delta{#1}}
-
-% ¤½¤Î¾
-\newcommand{\mPe}{\mP\!{\mathbfit{_e}}}
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-
-% ´Ø¿ô
-\newcommand{\diag}{\mathrm{diag}}
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-\newcommand{\rank}{\mathrm{rank}}
-\newcommand{\adj}{\mathrm{adj}}
-\newcommand{\rms}{\mathrm{rms}}
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-
-% Èùʬ
-\newcommand{\diff}{\mathrm{d}}
-
-% »Ø¿ô
-\newcommand{\e}[1]{\mathrm{e}^{#1}}
-
-% Àµµ¬²½
-\newcommand{\normalize}{\mathrm{normalize}}
-
-% Pi
-\newcommand{\sPi}{\mathit{\Pi}}
-
-% vim: foldmarker=[[[,]]]
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deleted file mode 100644 (file)
index e2dc57a..0000000
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-                   globaldict exch /PSfrags exch put glob setglobal }}
-                {{ array astore /PSfrags X }} ifelse B
-/getrepl islev2 {{ globaldict /PSfrags get aload length }}
-                {{ PSfrags aload length }} ifelse B
-/convert {
-   /src X src length string
-   /c 0 def src length {
-      dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def
-   } repeat
-} B
-/Begin {
-    /saver save def
-    srcFM exch 3 exch put
-    0 ne /debugMode X 0 setrepl
-    dup /S exch dict def { S 3 1 roll exch convert exch put } repeat
-    srcM CM dup invertmatrix pop
-    mark { currentdict { end } stopped { pop exit } if } loop
-    PSfragDict counttomark { begin } repeat pop
-} B
-/End {
-    mark { currentdict end dup PSfragDict eq { pop exit } if } loop
-    counttomark { begin } repeat pop
-    getrepl saver restore
-    7 idiv dup /S exch dict def {
-        6 array astore /mtrx X tstr cvs /K X
-        S K [ S K known { S K get aload pop } if mtrx ] put
-    } repeat
-} B
-/Place {
-    tstr cvs /K X
-    S K known {
-        bind /proc X tM CM pop
-        CP /cY X /cX X
-        0 0 transform idtransform neg /aY X neg /aX X
-        S K get dup length /maxiter X
-        /iter 1 def {
-            iter maxiter ne { /saver save def } if
-            tM setmatrix aX aY translate
-            [ exch aload pop idtransform ] concat
-            cX neg cY neg translate cX cY moveto
-            /proc load OE
-            iter maxiter ne { saver restore /iter iter 1 add def } if
-        } forall
-        /noXY { CP /cY X /cX X } stopped def
-        tM setmatrix noXY { newpath } { cX cY moveto } ifelse
-    } {
-        Hide OE Unhide
-    } ifelse
-} B
-/normalize {
-    2 index dup mul 2 index dup mul add sqrt div
-    dup 4 -1 roll exch mul 3 1 roll mul
-} B
-/replace {
-    aload pop MD
-    CP /bY X /lX X gsave sM setmatrix
-    str stringwidth abs exch abs add dup 0 eq
-        { pop } { 360 exch div dup scale } ifelse
-    lX neg bY neg translate newpath lX bY moveto
-    str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall
-    flattenpath pathbbox [ /uY /uX /lY /lX ] MD
-    CP grestore moveto
-    currentfont /FontMatrix get dstFM copy dup
-    0 get 0 lt { uX lX /uX X /lX X } if
-    3 get 0 lt { uY lY /uY X /lY X } if
-    /cX uX lX add 0.5 mul def
-    /cY uY lY add 0.5 mul def
-    debugMode { gsave 0 setgray 1 setlinewidth
-        lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath
-        lX bY moveto uX bY lineto lX cY moveto uX cY lineto
-        cX lY moveto cX uY lineto stroke
-    grestore } if
-    dstFM dup invertmatrix dstM CM srcM
-    2 { dstM concatmatrix } repeat pop
-    getrepl /temp X
-        S str convert get {
-            aload pop [ /rot /scl /loc /K ] MD
-            /aX cX def /aY cY def
-            loc {
-                dup 66  eq { /aY bY def } { % B
-                dup 98  eq { /aY lY def } { % b
-                dup 108 eq { /aX lX def } { % l
-                dup 114 eq { /aX uX def } { % r
-                dup 116 eq { /aY uY def }   % t
-                if } ifelse } ifelse } ifelse } ifelse pop
-            } forall
-            K srcFM rot tM rotate dstM
-            2 { tM concatmatrix } repeat aload pop pop pop
-            2 { scl normalize 4 2 roll } repeat
-            aX aY transform
-            /temp temp 7 add def
-        } forall
-    temp setrepl
-} B
-/Rif {
-    S 3 index convert known { pop replace } { exch pop OE } ifelse
-} B
-/XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B
-/xs   { pop } XA XC
-/xks  { /kern load OE } XA /kern XC
-/xas  { pop ax ay rmoveto } XA /ay /ax XC
-/xws  { c eq { cx cy rmoveto } if } XA /c /cy /cx XC
-/xaws { ax ay rmoveto c eq { cx cy rmoveto } if }
-    XA /ay /ax /c /cy /cx XC
-/raws { xaws { awidthshow } Rif } B
-/rws  { xws { widthshow } Rif } B
-/rks  { xks { kshow } Rif } B
-/ras  { xas { ashow } Rif } B
-/rs   { xs { show } Rif } B
-/rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B
-PSfragDict begin
-islev2 not { /restore { /rrs PSfrag } B } if
-/show       { /rs   PSfrag } B
-/kshow      { /rks  PSfrag } B
-/ashow      { /ras  PSfrag } B
-/widthshow  { /rws  PSfrag } B
-/awidthshow { /raws PSfrag } B
-end PSfragDict RO pop
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-
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-TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
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-exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
-ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
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-definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
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-TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
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--1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
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-TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
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-/@beginspecial{SDict begin/SpecialSave save N gsave normalscale
-currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}
-N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs
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-/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1
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-
- /DvipsToPDF { 72.27 mul Resolution div } def /PDFToDvips { 72.27 div
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-/pdf@hoff exch def HyperBorder sub /pdf@llx exch def } def /H.L { 2
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-
- /pgfH{/pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade
-{pgfA} def /pgfdir { dup 0 moveto dup 5 index lineto } bind def} bind
-def
-
- /pgfV{/pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade
-{pgfA} def /pgfdir { dup 0 exch moveto dup 5 index exch lineto } bind
-def} bind def
-
- /pgfA{ /pgfdiff 8 index round cvi 8 index round cvi sub 2 mul 1 add
-def 2 index 6 index sub pgfdiff div 2 index 6 index sub pgfdiff div
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-index pgfdiff { 3 index 3 index 3 index setrgbcolor pgfdir stroke 4
--1 roll 7 index add 4 -1 roll 6 index add 4 -1 roll 5 index add 4 -1
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-def /pgfendy exch def 0.875 setlinewidth [] 0 setdash /pgfshade {pgfR}
-def /pgfstartx exch def /pgfstarty exch def /pgfdiffx pgfendx pgfstartx
-sub def /pgfdiffy pgfendy pgfstarty sub def dup /pgfdomb exch def }bind
-def
-
- /pgfR2{ newpath 0.5 add pgfcircx pgfcircy 3 2 roll 0 360 arc setrgbcolor
-fill pop}bind def
-
- /pgfR{ /pgfdiff 8 index round cvi 8 index round cvi sub 4 mul 1 add
-def /pgfcircx pgfstartx 9 index pgfdiffx pgfdomb div mul add def /pgfcircy
-pgfstarty 9 index pgfdiffy pgfdomb div mul add def /pgfcircxe pgfstartx
-8 index pgfdiffx pgfdomb div mul add def /pgfcircye pgfstarty 8 index
-pgfdiffy pgfdomb div mul add def /pgfxstep pgfcircxe pgfcircx sub pgfdiff
-div def /pgfystep pgfcircye pgfcircy sub pgfdiff div def 2 index 6
-index sub pgfdiff div 2 index 6 index sub pgfdiff div 2 index 6 index
-sub pgfdiff div 8 index 8 index 8 index 13 index pgfdiff { 3 index
-3 index 3 index setrgbcolor pgfcircx pgfcircy 2 index 0 360 arc closepath
-stroke 4 -1 roll 6 index add 4 -1 roll 5 index add 4 -1 roll 4 index
-add 4 -1 roll .25 sub /pgfcircx pgfcircx pgfxstep add def /pgfcircy
-pgfcircy pgfystep add def } repeat mark 14 1 roll cleartomark exch
-pop }bind def
-
-  /pgfsc{}bind def/pgffc{}bind def/pgfstr{stroke}bind def/pgffill{fill}bind
-def/pgfeofill{eofill}bind def/pgfe{a dup 0 rlineto exch 0 exch rlineto
-neg 0 rlineto closepath}bind def/pgfw{setlinewidth}bind def/pgfs{save
-pgfpd 72 Resolution div 72 VResolution div neg scale magscale{1 DVImag
-div dup scale}if pgfx neg pgfy neg translate pgffoa .setopacityalpha}bind
-def/pgfr{pgfsd restore}bind def userdict begin/pgfo{pgfsd /pgfx currentpoint
-/pgfy exch def def @beginspecial}bind def /pgfc{newpath @endspecial
-pgfpd}bind def /pgfsd{globaldict /pgfdelta /delta where {pop delta}
-{0} ifelse put}bind def/pgfpd{/delta globaldict /pgfdelta get def}bind
-def /.setopacityalpha where {pop} {/.setopacityalpha{pop}def} ifelse
-/.pgfsetfillopacityalpha{/pgffoa exch def /pgffill{gsave pgffoa .setopacityalpha
-fill 1 .setopacityalpha newpath fill grestore}bind def /pgfeofill{gsave
-pgffoa .setopacityalpha eofill 1 .setopacityalpha newpath eofill grestore}bind
-def}bind def /.pgfsetstrokeopacityalpha{/pgfsoa exch def /pgfstr{gsave
-pgfsoa .setopacityalpha stroke grestore}bind def}bind def /pgffoa 1
-def /pgfsoa 1 def end
-
- /pgf1{gsave exec 4.00005 0.49998 moveto 2.00002 2.00002 lineto 4.00005
-3.50003 lineto pgffill 16.0002 0.49998 moveto 18.00021 2.00002 lineto
-16.0002 3.50003 lineto pgffill  grestore} bind def
-
- /pgf2{gsave exec 2.39105 3.38733 8.26909 0.79701 pgfe pgfstr  grestore}
-bind def
-
- /pgf3{gsave exec 4.00005 0.49998 moveto 2.00002 2.00002 lineto 4.00005
-3.50003 lineto 16.0002 0.49998 moveto 18.00021 2.00002 lineto 16.0002
-3.50003 lineto pgffill  grestore} bind def
-
- /pgf4{gsave exec 2.39105 3.38733 6.97394 0.0 pgfe 7.80008 2.40001
-moveto 7.80008 3.20003 lineto 11.20012 3.20003 lineto 11.20012 0.8
-lineto 10.4001 0.8 lineto 8.6001 3.20003 moveto 8.6001 4.00005 lineto
-12.00015 4.00005 lineto 12.00015 1.60002 lineto 11.20012 1.60002 lineto
-pgfstr  grestore} bind def
-
- /pgf5{gsave exec 4.00005 0.49998 moveto 2.00002 2.00002 lineto 4.00005
-3.50003 lineto 16.0002 0.49998 moveto 18.00021 2.00002 lineto 16.0002
-3.50003 lineto pgffill 0.59776 pgfw 8.00009 4.00005 moveto 11.00012
-4.00005 lineto 9.00009 2.00002 moveto 12.00015 2.00002 lineto 8.00009
-1.0 moveto 11.00012 1.0 lineto 9.00009 0.0 moveto 12.00015 0.0 lineto
-pgfstr  grestore} bind def
-
- /pgf6{gsave exec 0.59776 pgfw 9.00009 3.00003 moveto 12.00015 3.00003
-lineto pgfstr  grestore} bind def
-
- /pgf7{gsave exec 4.00005 0.49998 moveto 2.00002 2.00002 lineto 4.00005
-3.50003 lineto 16.0002 0.49998 moveto 18.00021 2.00002 lineto 16.0002
-3.50003 lineto pgffill 0.59776 pgfw 8.00009 1.0 moveto 11.00012 1.0
-lineto 9.00009 0.0 moveto 12.00015 0.0 lineto pgfstr  grestore} bind
-def
-
- /pgf8{gsave exec 0.59776 pgfw 8.00009 4.00005 moveto 11.00012 4.00005
-lineto 9.00009 3.00003 moveto 12.00015 3.00003 lineto 9.00009 2.00002
-moveto 12.00015 2.00002 lineto pgfstr  grestore} bind def
-
- /pgf9{gsave exec 10.0001 -0.49998 moveto 10.0001 4.50003 lineto pgfstr
- grestore} bind def
-
- /pgf10{gsave exec 0.59776 pgfw 4.00005 4.00005 moveto 7.00008 4.00005
-lineto 5.00005 3.00003 moveto 8.00009 3.00003 lineto 5.00005 2.00002
-moveto 8.00009 2.00002 lineto 3.00003 1.0 moveto 7.00008 1.0 lineto
-5.00005 0.0 moveto 8.00009 0.0 lineto 12.00015 3.00003 moveto 15.00018
-3.00003 lineto 13.00015 2.00002 moveto 16.0002 2.00002 lineto 13.00015
-1.0 moveto 16.0002 1.0 lineto pgfstr  grestore} bind def
-
- /pgf11{gsave exec 0.59776 pgfw 8.00009 4.00005 moveto 11.00012 4.00005
-lineto 9.00009 3.00003 moveto 12.00015 3.00003 lineto 9.00009 2.00002
-moveto 12.00015 2.00002 lineto 8.00009 1.0 moveto 11.00012 1.0 lineto
-9.00009 0.0 moveto 12.00015 0.0 lineto pgfstr  grestore} bind def
-
- /pgf12{gsave exec 0.59776 pgfw 10.4001 1.60002 moveto 12.00015 0.0
-lineto pgfstr 0.3985 pgfw 10.66016 2.49069 moveto 10.66016 3.15419
-10.12813 3.68622 9.46463 3.68622 curveto 8.80112 3.68622 8.26909 3.15419
-8.26909 2.49069 curveto 8.26909 1.82718 8.80112 1.29515 9.46463 1.29515
-curveto 10.12813 1.29515 10.66016 1.82718 10.66016 2.49069 curveto
-closepath 9.46463 2.49069 moveto pgfstr 1 setlinecap 4.00005 0.0 moveto
-5.08101 0.0 6.00006 0.9 6.00006 2.00002 curveto 6.00006 3.10002 5.10005
-4.00005 4.00005 4.00005 curveto 2.90001 4.00005 2.00002 3.10002 2.00002
-2.00002 curveto 3.20003 2.60002 moveto 2.00002 1.60002 lineto 0.8 2.60002
-lineto 16.0002 0.0 moveto 14.90016 0.0 14.00017 0.9 14.00017 2.00002
-curveto 14.00017 3.10002 14.90016 4.00005 16.0002 4.00005 curveto 17.1002
-4.00005 18.00021 3.10002 18.00021 2.00002 curveto 19.20023 2.60002
-moveto 18.00021 1.60002 lineto 16.8002 2.60002 lineto pgfstr  grestore}
-bind def
-
- /pgf13{gsave exec 1.5 0.49998 moveto 3.50003 2.00002 lineto 1.5 3.50003
-lineto pgffill  grestore} bind def
-
- /pgf14{gsave exec 1.5 0.49998 moveto 3.50003 2.00002 lineto 1.5 3.50003
-lineto 3.50003 0.49998 moveto 5.50005 2.00002 lineto 3.50003 3.50003
-lineto pgffill  grestore} bind def
-
- /pgf15{gsave exec 3.50003 0.49998 moveto 1.5 2.00002 lineto 3.50003
-3.50003 lineto pgffill  grestore} bind def
-@fedspecial end
-%%BeginFont: CMSY6
-%!PS-AdobeFont-1.1: CMSY6 1.0
-%%CreationDate: 1991 Aug 15 07:21:34
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSY6) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.035 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSY6 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 48 /prime put
-readonly def
-/FontBBox{-4 -948 1329 786}readonly def
-currentdict end
-currentfile eexec
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-A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85
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-6AC0DF1D3154B0277BE821712BE7B33385E7A4105E8F3370F981B8FE9E3CF3E0
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-F9D549C971B0822056B339600FC1E3A5E51844CC8A75B857F15E7276260ED115
-C5FD550F53CE5583743B50B0F9B7C4F836DEF7499F439A6EBE9BF559D2EE0571
-CE54AEC4721DCF5D2D062695FD884DD6C5E69AD4D7EDE06019AA63DBD7A415FE
-A62C4BA084B29A6D5F00A85E00A9B4087867ADAB0AC160B1DCC24BCED3BE7BAE
-8BF608F4D4C69D22B92A00B55CE87EC85E592FCC21B503F439CD2E8E215E38F9
-33E27ADBDE5AC5F925D27C80188DCACA70C0E326DAB9EE31CAAFD5356518E25C
-7CCA1DBFA1350351C915C4748BB1655B2C47F39FFD7EC38F48D52DF76F3EC2CF
-139EBD840EEC65AA2A9B6B201D81D8A73B0E1CF21B1F3EE2A3820FABE3755443
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-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
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-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-0000000000000000000000000000000000000000000000000000000000000000
-cleartomark
-%%EndFont 
-%%BeginFont: CMSSI10
-%!PS-AdobeFont-1.1: CMSSI10 1.0
-%%CreationDate: 1991 Aug 20 17:34:37
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSSI10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -12 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSSI10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 40 /parenleft put
-dup 41 /parenright put
-dup 69 /E put
-dup 76 /L put
-dup 77 /M put
-dup 97 /a put
-dup 100 /d put
-dup 101 /e put
-dup 104 /h put
-dup 105 /i put
-dup 107 /k put
-dup 108 /l put
-dup 109 /m put
-dup 111 /o put
-dup 115 /s put
-dup 116 /t put
-dup 117 /u put
-dup 120 /x put
-readonly def
-/FontBBox{-97 -250 1077 759}readonly def
-currentdict end
-currentfile eexec
-D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
-3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B
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-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMR6) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
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-end readonly def
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-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 50 /two put
-readonly def
-/FontBBox{-20 -250 1193 750}readonly def
-currentdict end
-currentfile eexec
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-%%CreationDate: 1992 Feb 19 19:54:06
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.00B) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMBX10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Bold) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMBX10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 48 /zero put
-readonly def
-/FontBBox{-301 -250 1164 946}readonly def
-currentdict end
-currentfile eexec
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-%%BeginFont: CMR8
-%!PS-AdobeFont-1.1: CMR8 1.0
-%%CreationDate: 1991 Aug 20 16:39:40
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMR8) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMR8 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 6 /Sigma put
-dup 22 /macron put
-dup 40 /parenleft put
-dup 41 /parenright put
-dup 49 /one put
-dup 50 /two put
-readonly def
-/FontBBox{-36 -250 1070 750}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMEX10
-%!PS-AdobeFont-1.1: CMEX10 1.00
-%%CreationDate: 1992 Jul 23 21:22:48
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.00) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMEX10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMEX10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 40 /braceleftBigg put
-dup 88 /summationdisplay put
-readonly def
-/FontBBox{-24 -2960 1454 772}readonly def
-currentdict end
-currentfile eexec
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-%%CreationDate: 1996 Jul 23 07:53:52
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.100) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMMI6) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.04 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMMI6 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 72 /H put
-readonly def
-/FontBBox{11 -250 1241 750}readonly def
-currentdict end
-currentfile eexec
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-%%BeginFont: CMBXTI10
-%!PS-AdobeFont-1.1: CMBXTI10 1.0
-%%CreationDate: 1991 Aug 18 17:46:30
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMBXTI10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Bold) readonly def
-/ItalicAngle -14.04 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMBXTI10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 65 /A put
-dup 72 /H put
-dup 74 /J put
-dup 88 /X put
-dup 104 /h put
-dup 120 /x put
-readonly def
-/FontBBox{-29 -250 1274 754}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMMI8
-%!PS-AdobeFont-1.1: CMMI8 1.100
-%%CreationDate: 1996 Jul 23 07:53:54
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.100) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMMI8) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.04 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMMI8 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 27 /sigma put
-dup 59 /comma put
-dup 61 /slash put
-dup 64 /partialdiff put
-dup 72 /H put
-dup 78 /N put
-dup 100 /d put
-dup 105 /i put
-readonly def
-/FontBBox{-24 -250 1110 750}readonly def
-currentdict end
-currentfile eexec
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-%%BeginFont: CMSY8
-%!PS-AdobeFont-1.1: CMSY8 1.0
-%%CreationDate: 1991 Aug 15 07:22:10
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSY8) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.035 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSY8 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 0 /minus put
-dup 48 /prime put
-dup 62 /latticetop put
-dup 67 /C put
-readonly def
-/FontBBox{-30 -955 1185 779}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMSY10
-%!PS-AdobeFont-1.1: CMSY10 1.0
-%%CreationDate: 1991 Aug 15 07:20:57
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSY10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.035 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSY10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 0 /minus put
-dup 15 /bullet put
-dup 26 /propersubset put
-dup 41 /arrowdblright put
-dup 67 /C put
-dup 82 /R put
-dup 86 /V put
-dup 102 /braceleft put
-dup 103 /braceright put
-dup 106 /bar put
-dup 107 /bardbl put
-readonly def
-/FontBBox{-29 -960 1116 775}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMMI10
-%!PS-AdobeFont-1.1: CMMI10 1.100
-%%CreationDate: 1996 Jul 23 07:53:57
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.100) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMMI10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -14.04 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMMI10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 14 /delta put
-dup 15 /epsilon1 put
-dup 25 /pi put
-dup 27 /sigma put
-dup 58 /period put
-dup 59 /comma put
-dup 67 /C put
-dup 78 /N put
-dup 83 /S put
-dup 88 /X put
-dup 99 /c put
-dup 100 /d put
-dup 101 /e put
-dup 102 /f put
-dup 103 /g put
-dup 105 /i put
-dup 110 /n put
-dup 111 /o put
-dup 114 /r put
-dup 115 /s put
-dup 116 /t put
-dup 117 /u put
-dup 120 /x put
-readonly def
-/FontBBox{-32 -250 1048 750}readonly def
-currentdict end
-currentfile eexec
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-cleartomark
-%%EndFont 
-%%BeginFont: CMR10
-%!PS-AdobeFont-1.1: CMR10 1.00B
-%%CreationDate: 1992 Feb 19 19:54:52
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.00B) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMR10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMR10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 6 /Sigma put
-dup 22 /macron put
-dup 40 /parenleft put
-dup 41 /parenright put
-dup 43 /plus put
-dup 49 /one put
-dup 50 /two put
-dup 52 /four put
-dup 56 /eight put
-dup 58 /colon put
-dup 61 /equal put
-dup 80 /P put
-dup 94 /circumflex put
-dup 97 /a put
-dup 99 /c put
-dup 103 /g put
-dup 108 /l put
-dup 110 /n put
-dup 111 /o put
-dup 114 /r put
-dup 115 /s put
-dup 116 /t put
-dup 126 /tilde put
-readonly def
-/FontBBox{-251 -250 1009 969}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMSSI12
-%!PS-AdobeFont-1.1: CMSSI12 1.0
-%%CreationDate: 1991 Aug 20 17:34:51
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSSI12) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle -12 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSSI12 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 83 /S put
-dup 97 /a put
-dup 101 /e put
-dup 109 /m put
-dup 110 /n put
-dup 111 /o put
-dup 112 /p put
-dup 114 /r put
-dup 115 /s put
-readonly def
-/FontBBox{-98 -251 1052 758}readonly def
-currentdict end
-currentfile eexec
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-cleartomark
-%%EndFont 
-%%BeginFont: CMSS17
-%!PS-AdobeFont-1.1: CMSS17 1.0
-%%CreationDate: 1991 Aug 20 17:33:59
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSS17) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSS17 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 11 /ff put
-dup 40 /parenleft put
-dup 41 /parenright put
-dup 46 /period put
-dup 47 /slash put
-dup 49 /one put
-dup 50 /two put
-dup 51 /three put
-dup 52 /four put
-dup 55 /seven put
-dup 65 /A put
-dup 68 /D put
-dup 71 /G put
-dup 73 /I put
-dup 76 /L put
-dup 77 /M put
-dup 83 /S put
-dup 86 /V put
-dup 97 /a put
-dup 99 /c put
-dup 100 /d put
-dup 101 /e put
-dup 102 /f put
-dup 103 /g put
-dup 104 /h put
-dup 105 /i put
-dup 107 /k put
-dup 108 /l put
-dup 109 /m put
-dup 110 /n put
-dup 111 /o put
-dup 112 /p put
-dup 114 /r put
-dup 115 /s put
-dup 116 /t put
-dup 117 /u put
-dup 118 /v put
-dup 119 /w put
-dup 120 /x put
-dup 121 /y put
-readonly def
-/FontBBox{-58 -250 939 758}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMSS8
-%!PS-AdobeFont-1.1: CMSS8 1.0
-%%CreationDate: 1991 Aug 20 17:34:12
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSS8) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSS8 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 47 /slash put
-dup 48 /zero put
-dup 49 /one put
-dup 50 /two put
-dup 51 /three put
-dup 52 /four put
-dup 53 /five put
-dup 54 /six put
-dup 55 /seven put
-dup 56 /eight put
-dup 57 /nine put
-readonly def
-/FontBBox{-65 -250 1062 761}readonly def
-currentdict end
-currentfile eexec
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-cleartomark
-%%EndFont 
-%%BeginFont: CMSS10
-%!PS-AdobeFont-1.1: CMSS10 1.0
-%%CreationDate: 1991 Aug 20 17:33:34
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSS10) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSS10 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 11 /ff put
-dup 12 /fi put
-dup 40 /parenleft put
-dup 41 /parenright put
-dup 44 /comma put
-dup 45 /hyphen put
-dup 46 /period put
-dup 47 /slash put
-dup 48 /zero put
-dup 49 /one put
-dup 50 /two put
-dup 52 /four put
-dup 54 /six put
-dup 56 /eight put
-dup 58 /colon put
-dup 63 /question put
-dup 68 /D put
-dup 69 /E put
-dup 70 /F put
-dup 71 /G put
-dup 73 /I put
-dup 76 /L put
-dup 77 /M put
-dup 78 /N put
-dup 79 /O put
-dup 80 /P put
-dup 83 /S put
-dup 84 /T put
-dup 97 /a put
-dup 98 /b put
-dup 99 /c put
-dup 100 /d put
-dup 101 /e put
-dup 102 /f put
-dup 103 /g put
-dup 104 /h put
-dup 105 /i put
-dup 106 /j put
-dup 107 /k put
-dup 108 /l put
-dup 109 /m put
-dup 110 /n put
-dup 111 /o put
-dup 112 /p put
-dup 113 /q put
-dup 114 /r put
-dup 115 /s put
-dup 116 /t put
-dup 117 /u put
-dup 118 /v put
-dup 119 /w put
-dup 120 /x put
-dup 121 /y put
-dup 122 /z put
-readonly def
-/FontBBox{-61 -250 999 759}readonly def
-currentdict end
-currentfile eexec
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-%%EndFont 
-%%BeginFont: CMSS12
-%!PS-AdobeFont-1.1: CMSS12 1.0
-%%CreationDate: 1991 Aug 20 17:33:47
-% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
-11 dict begin
-/FontInfo 7 dict dup begin
-/version (1.0) readonly def
-/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
-/FullName (CMSS12) readonly def
-/FamilyName (Computer Modern) readonly def
-/Weight (Medium) readonly def
-/ItalicAngle 0 def
-/isFixedPitch false def
-end readonly def
-/FontName /CMSS12 def
-/PaintType 0 def
-/FontType 1 def
-/FontMatrix [0.001 0 0 0.001 0 0] readonly def
-/Encoding 256 array
-0 1 255 {1 index exch /.notdef put} for
-dup 45 /hyphen put
-dup 50 /two put
-dup 52 /four put
-dup 67 /C put
-dup 68 /D put
-dup 69 /E put
-dup 76 /L put
-dup 77 /M put
-dup 80 /P put
-dup 83 /S put
-dup 84 /T put
-dup 89 /Y put
-dup 97 /a put
-dup 98 /b put
-dup 99 /c put
-dup 100 /d put
-dup 101 /e put
-dup 102 /f put
-dup 103 /g put
-dup 104 /h put
-dup 105 /i put
-dup 106 /j put
-dup 108 /l put
-dup 109 /m put
-dup 110 /n put
-dup 111 /o put
-dup 112 /p put
-dup 114 /r put
-dup 115 /s put
-dup 116 /t put
-dup 117 /u put
-dup 118 /v put
-dup 120 /x put
-readonly def
-/FontBBox{-62 -251 978 758}readonly def
-currentdict end
-currentfile eexec
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diff --git a/latex/7_8/presen.snm b/latex/7_8/presen.snm
deleted file mode 100644 (file)
index e69de29..0000000
diff --git a/latex/7_8/presen.tex b/latex/7_8/presen.tex
deleted file mode 100644 (file)
index 2e96cdc..0000000
+++ /dev/null
@@ -1,336 +0,0 @@
-\documentclass[25pt,dvips]{beamer}
-
-\mode<presentation>
-{
-  \usetheme{KeynoteLikeGradient}
-  %\setbeamercovered{transparent} %\e$B0u:~MQ\e(B
-  \setbeamertemplate{footline}[page number]
-
-
-}
-
-\def\red{\setbeamercolor{alerted text}{fg=red}}
-\def\green{\setbeamercolor{alerted text}{fg=green}}
-\def\blue{\setbeamercolor{alerted text}{fg=blue}}
-\def\orange#1{\setbeamercolor{alerted text}{fg=orange}\alert{#1}}
-\def\white{\setbeamercolor{alerted text}{fg=white}}
-\def\gray{\setbeamercolor{alerted text}{fg=gray}}
-\def\resultcolor{\setbeamercolor{alerted text}{fg=purple}}
-
-% my commands
-\def\new#1{{\it \setbeamercolor{alerted text}{fg=green}\alert{\underline{#1}}}}
-\def\innersection#1{ {\Large #1}\vspace{0.5cm} }
-
-% my mathvec extension
-\newcommand{\vtheta}{\myvector{\theta}}
-
-\renewcommand{\kanjifamilydefault}{gt}
-\usepackage[english]{babel}
-\usepackage{graphicx,psfrag}
-\usepackage{multicol}
-\usepackage{mathvec}
-\usepackage{fancyhdr}
-\usepackage{ascmac}
-\usepackage{amsmath,amssymb}
-\usefonttheme{professionalfonts}
-
-\title{
-   Multiple View Geometry\\
-   \vspace{1cm}
-   \large{Chapter 4 Estimation - 2D Projective Transformations}
-}
-\author{Tomohiro Yasuda}
-\date{2010/6/16}
-
-
-
-\setbeamersize{text margin left= 15pt}
-\setbeamersize{text margin right= 15pt}
-
-\begin{document}
-
-\begin{frame}
-  \titlepage
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.2 Different cost functions (7/7)}
-
-       \innersection{\new{Sampson error}}:     
-
-       \vspace{-0.5cm}
-
-       \begin{itemize}
-               \item first-order approximation to the point $\hat{X}$
-               \item solvable without iteration
-       \end{itemize}
-       
-       \vspace{-0.5cm}
-
-       \begin{eqnarray*}
-       {\text error function:} & \| \delta_\mX \| = {\delta_\mX}^\top {\delta_\mX}. \\
-       {\text condition:} & {\mathcal C}_H(\mX + \delta_\mX) = {\mathcal C}_H(\mX) + \frac{\partial {\mathcal C}_H }{\partial \mX} \delta_\mX. \\
-               \delta_\mX  = (\mX - \mXt) & {\mathcal C}_H(\mX) = \mA \vh
-       \end{eqnarray*}
-
-       %TODO A h = 0 \e$B$,$J$s$N<0$J$N$+8@5Z$9$Y$-\e(B
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.2 Different cost functions (7/7)}
-
-       \innersection{\new{Sampson error}}:     
-
-       The standard way to this solve problem is to use Lagrange multipliers.
-
-       \[
-               \begin{cases}
-                        f(\mX) = \|\delta_\mX \|\\
-                        g(\mX) = \mJ \delta_\mX + \epsilon
-               \end{cases}
-       \]
-finally,
-
-       \[
-               {\| \delta_\mX \|}^2 = {\delta_\mX}^2 {\delta_\mX} = \epsilon^2 (\mJ \mJt)^{-1} \epsilon.
-       \]
-       %TODO A h = 0 \e$B$,$J$s$N<0$J$N$+8@5Z$9$Y$-\e(B
-\end{frame}
-
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.2 Different cost functions (7/7)}
-
-       \innersection{Sampson approximation for a conic}:       
-       TODO
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{4.2 Different cost functions (7/7)}
-
-       \innersection{Linear cost function}:    
-       the Sampson error is identical to geometric error
-
-       the variety $\e(J\mathcal{V}_H$\e(B defined by $C_H(\e(J\mX)\e(B = \e(J\vZERO$\e(B is a hyperplane
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{4.2.7 Another geometric interpretation (7/7)}
-
-       defferent interpretation in which the set of all measurements 
-       is represented by a single point int a measurement space $\e(J\mathcal{R}^N$\e(B
-
-       Now, given a measurement vector $\e(J\vx$\e(B in $\e(J\mathcal{R}^N$,\e(B the estimation problem
-       is to find the vector $\e(J\vxh$,\e(B closest to $\e(J\vx$,\e(B that satisfies the model.
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{4.2.7 Another geometric interpretation (7/7)}
-
-       \innersection{Error in both images}:    
-
-       the set of matched points represents a point in $\e(J\mathcal{R}^N$,\e(B
-       where $N = 4n$
-
-       The vector made up of the coodinates of all the matched points in both
-       images will be denoted $\e(J\vx$.\e(B
-
-       a feasible choice of points is determinated by a set of $2n + 8$ parameters:
-       the $2n$ coordinates of the points $\e(J\vxh_i$,\e(B plus the 8 independent parameters of the $\e(J\mH$.\e(B
-       $\e(J\Rightarrow$\e(B sub manifold $S \e(J\subset\e(B {\e(J\mathcal\e(B R}^N $ has dimension $2n + 8$ and hence codimension $2n - 8$.
-
-       finding the point $\e(J\vxh$\e(B on $S$ lying closest to $x$ in ${\e(J\mathcal\e(B R}^N $  is equivalent to minimizing 
-       the cost function given by (4.8 reprojection error)
-
-       Once $\e(J\vxh$\e(B is knowns $\e(J\mH$\e(B may be computed.
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{4.2.7 Another geometric interpretation (7/7)}
-
-       \innersection{Error in one images}:     
-       the measurement space has dimension $N=2n$.
-       
-       finding the closest point on $S$ to the measurement vector $\e(J\mX$\e(B is equivalent to minimizing the cost 
-       function (4.6 transfer error).
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.3 Statistical cost functions and Maximum Likelihood estimation(7/7)}
-
-       In order to obtain a best(optimal) estimate of $\e(J\mH$\e(B it is necessary
-       to have a model for the measurement error(the noise).
-
-       we assume that image measurement errors obey a zero-mean istropic Gaussian distribution(no outlier).
-
-       we assume that hte noise is Gaussian on each image coordinate with zero mean and uniform standard deviation $\e(J\sigma$.\e(B
-
-       PDF:
-       \e(J\[\e(B
-               {\e(J\rm\e(B Pr}(\e(J\vx)\e(B = \e(J\frac{1}{2\e(B \e(J\pi\e(B \e(J\sigma^2}\e(B e^{-d(\e(J\vx,\e(B {\e(J\bar\e(B \e(J\vx})^2/(2\sigma^2)}.\e(B
-       \e(J\]\e(B
-       %TODO
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.3 Statistical cost functions and Maximum Likelihood estimation(7/7)}
-
-       \innersection{Error in one image}:      
-
-       Then the PDF of the noise-perturbed data is 
-
-       The \e(J\new{Maximum\e(B Likelihood estimate (MLE) }of the homography, $\e(J\bar\e(B \e(J\mH$,\e(B maximizes
-       this log-likelihood, 
-
-       \e(J\[\e(B
-               \e(J\log{\rm\e(B Pr}(\e(J\{\vxp_i\e(B \e(J\}|\e(B \e(J\mH\e(B ) = - \e(J\frac{1}{2\e(B \e(J\sigma^2}\e(B \e(J\sum_i\e(B  d(\e(J\vx_i,\e(B \e(J\mH{\bar\e(B \e(J\vx_i})^2\e(B + {\e(J\rm\e(B constant}.
-       \e(J\]\e(B
-
-       we note that ML estimation is equivalement to minimizing the geometric error functions.
-       
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.3 Statistical cost functions and Maximum Likelihood estimation(7/7)}
-
-       \innersection{Error in both images}:    
-
-       \e(J\[\e(B
-               \e(J\log{\rm\e(B Pr}(\e(J\{\vx_i,\e(B \e(J\vxp_i\}\e(B | \e(J\mH,\e(B \e(J\{{\bar\e(B \e(J\vx_i}\}\e(B ) = - \e(J\frac{1}{2\e(B \e(J\sigma^2}\e(B 
-               \e(J\sum_i\e(B  (  d(\e(J\vx_i,\e(B {\e(J\bar\e(B \e(J\vx_i})^2\e(B +  d(\e(J\vx_i,\e(B \e(J\mH{\bar\e(B \e(J\vx_i})^2\e(B ) + {\e(J\rm\e(B constant}.
-       \e(J\]\e(B
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.3 Statistical cost functions and Maximum Likelihood estimation(7/7)}
-
-       \innersection{Mahalanobis distance}:    
-
-       Miximizing the log-likelihood is then equivalent to minimizing the Mahalanobis distance.
-
-       \e(J\[\e(B
-               {\e(J\|\e(B \e(J\mX\e(B - {\e(J\bar\e(B \e(J\mX}\e(B \e(J\|}_\Sigma^2\e(B = (\e(J\mX\e(B - {\e(J\bar\e(B \e(J\mX})^\top\e(B \e(J\Sigma^{-1}\e(B (\e(J\mX\e(B -  {\e(J\bar\e(B \e(J\mX}).\e(B
-       \e(J\]\e(B
-
-       where $\e(J\Sigma$\e(B and $\e(J\Sigma'$\e(B are the covariance matrices of the measurements in the two images.
-       Finally, if we assume that the errors for all the points $\e(J\vx_i$\e(B and $\e(J\vxp_i$\e(B are independent,
-       \e(J\[\e(B
-               \e(J\sum{\|\e(B \e(J\mX\e(B - {\e(J\bar\e(B \e(J\mX}\e(B \e(J\|}_\Sigma^2\e(B  + \e(J\sum{\|\e(B \e(J\mXp\e(B - {\e(J\bar\e(B \e(J\mXp}\e(B \e(J\|}_{\Sigma'}^2\e(B 
-       \e(J\]\e(B
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.4.1 Invariance to image coordinate transformations(7/7)}
-    %\frametitle{4.4.2 Non-invariance of the DLT algorithm(7/7)}
-
-       Does the result of estimation depend on the choice of coordinates in the image? 
-
-       DLT:
-       at least similarity transformations with scale $s$ $\e(J\Rightarrow$\e(B invariance
-
-       Exception:
-       
-       there is no one-to-one correspondence between $\mH$ and $\e(J\bar\e(B \e(J\mH$\e(B giving rise to the same error 
-       $\e(J\epsilon$,\e(B subject to the constraint $\e(J\|\mH\|\e(B = \e(J\|{\tilde\e(B \e(J\mH}\e(B \e(J\|\e(B = 1$.
-
-       the method of transformation leads to a different solution for the computed transformation matrix.
-       %TODO
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.4.3 Invariance of geometric error(7/7)}
-       
-       Suppose that euclidean transformation : invariant
-       
-       minimizing geometric error is invariant to similarity transformations.
-
-       %TODO
-
-\end{frame}
-
-\if 0
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.4.4 Normalizing transformations(7/7)}
-       \innersection{Isotropic scaling}:       
-
-       %TODO
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.4.4 Normalizing transformations(7/7)}
-       \innersection{Non-isotropic scaling}:   
-
-       %TODO
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{4.4.4 Normalizing transformations(7/7)}
-       \innersection{Scaling with points near infinity}:       
-
-       %TODO
-
-\end{frame}
-
-\fi
-
-
-
-
-
-
-
-
-\end{document}
diff --git a/latex/7_8/presen.tex~ b/latex/7_8/presen.tex~
deleted file mode 100644 (file)
index 100bdc1..0000000
+++ /dev/null
@@ -1,465 +0,0 @@
-\documentclass[25pt,dvips]{beamer}
-
-
-\mode<presentation>
-{
-  %\usetheme{KeynoteLikeGradient}
-  \setbeamercovered{transparent}
-}
-
-\def\red{\setbeamercolor{alerted text}{fg=red}}
-\def\green{\setbeamercolor{alerted text}{fg=green}}
-\def\blue{\setbeamercolor{alerted text}{fg=blue}}
-\def\orange{\setbeamercolor{alerted text}{fg=orange}}
-\def\white{\setbeamercolor{alerted text}{fg=white}}
-\def\gray{\setbeamercolor{alerted text}{fg=gray}}
-\def\resultcolor{\setbeamercolor{alerted text}{fg=purple}}
-
-% my commands
-\def\new#1{\setbeamercolor{alerted text}{fg=green}\alert{\underline{#1}}}
-
-\renewcommand{\kanjifamilydefault}{gt}
-\usepackage[english]{babel}
-\usepackage{graphicx,psfrag}
-\usepackage{multicol}
-\usepackage{mathvec}
-\usefonttheme{professionalfonts}
-
-\title{
-   Statistical Optimization for Geometric Computation\\
-   \large{Chapter2 Fundamentals of Linear Algebra}
-}
-\author{Tomohiro Yasuda}
-\date{2009/9/3}
-
-
-
-\setbeamersize{text margin left= 15pt}
-\setbeamersize{text margin right= 15pt}
-
-\begin{document}
-
-\begin{frame}
-  \titlepage
-\end{frame}
-
-\begin{frame}
-    \frametitle{2.4.1 Direct sum and tensor product(1/3)}
-    
-    A \new{tensor} is defined as 
-    a set of real numbers 
-    $\mathcal{T} = (\mT_{i_1 i_2 \cdots i_r}),
-    i_1 , i_2 , \ldots , i_r = 1 , \ldots , n.$
-    
-
-    \begin{itemize}
-        \item tensor dimension : the range that each indeces can take
-        \item tensor degree : the number of indeces 
-    \end{itemize}
-
-    \vspace{0.5cm}
-
-    \begin{enumerate}
-       \item Dimensions of each indices can be different. 
-       we denote that as $n_1 n_2 \cdots n_r-tensor$(\new{mixied tensor}).  
-  
-       \item If $\mT_{i_1 i_2 \cdots i_r}$ is symmetric with respect to
-       indices $i_k$ and $i_{k+1}$, the type is written as 
-       $i_1 \cdots (i_k i_{k+1}) \cdots i_r$.
-
-       \item If $\mT_{i_1 i_2 \cdots i_r}$ is antisymmetric with respect to
-       indices $i_k$ and $i_{k+1}$, the type is written as 
-       $i_1 \cdots [i_k i_{k+1}] \cdots i_r$.
-    \end{enumerate}
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.1 Direct sum and tensor product(2/3)}
-    
-    Direct sum :
-    \begin{itemize}
-       \item The \new{direct sum} of m-vector $\va$ and n-vector $\vb$ is
-       a (m+n)-vector $ (a_1 , \ldots , a_m , b_1 , \ldots , b_n )$. 
-        \item The direct sum of mm-matrix $\mA$ and nn-matrix $\mB$ is
-       a (m+n)(m+n)-matrix whose diagonal blocks are $\mA$ and $\mB$ ,
-       and elsewhere elements are zero. 
-    \end{itemize}
-    We denote them by $\va \oplus \vb$ and $\mA \oplus \mB$ respectively.
-
-    The following relations are obvious:
-    \begin{eqnarray}
-       (\mA \oplus \mB)(\vu \oplus \vv) = (\mA \vu) \oplus (\mB \vv), \\
-       (\va \oplus \vb , \vu \oplus \vv) = (\va , \vu)+(\vb , \vv).     
-    \end{eqnarray}
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{2.4.1 Direct sum and tensor product(3/3)}
-    
-    Tensor product :
-
-    The \new{tensor product} of 
-    tensor $\mathcal{A} = (\mA_{i_1 \cdots i_r})$ and
-    tensor $\mathcal{B} = (\mB_{i_1 \cdots i_s})$ is a 
-    tensor $\mathcal{C} = (\mC_{i_1 \cdots i_{r+s}})$ defined by
-    \begin{equation}
-       \mC_{i_1 \cdots i_{r+s}} = \mA_{i_1 \cdots i_r} \mB_{i_1 \cdots i_s}.
-    \end{equation}
-
-    We denote it by $\mathcal{C} = \mathcal{A} \otimes \mathcal{B}$.
-
-    The following identities holds for scalar $c$ and vectors $\va$ and $\vb$:
-    \begin{eqnarray}
-       c \otimes \vu = c \vu , \hspace{1cm} \va \otimes \vb = \va \vbt.
-    \end{eqnarray}
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{2.4.2 Cast in three dimensions(1/5)}
-    
-    Cast:
-
-    The \new{cast} is a rearrangement 
-    the elements of $m_1 \cdots m_r$-tensor
-    into $n_1 \cdots n_s$-tensor
-    which has different dimensions and degree,
-    where two tensor has the same number of elements.
-
-    The cast into $n_1 \cdots n_s$-tensor is written as
-    $\rm{type}_{n_1 \cdots n_s}[\mathcal{T}]$.
-
-    \vspace{0.5cm}
-
-    Example in 33-matrices:
-    \begin{eqnarray}
-       \va = 
-       \begin{pmatrix}
-          A_{11} \\ 
-          A_{12} \\
-          \vdots \\
-          A_{33} 
-       \end{pmatrix},&
-       \mA =
-       \begin{pmatrix}
-           a_1 & a_2 & a_3 \\
-           a_4 & a_5 & a_6 \\ 
-           a_7 & a_8 & a_9 
-       \end{pmatrix}\\
-       \va = \rm{type}_9[\mA], &
-       \mA = \rm{type}_{33}[\va]
-    \end{eqnarray}
-    The norm is preserved by cast:
-    \begin{equation}
-       ||\va|| = ||\mA||
-    \end{equation}
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.2 Cast in three dimensions(2/5)}
-    
-    Example in (33)-matrices:
-    
-    The elements of a (33)-matrix $\mS = (S_{ij})$ are
-    rearranged into a 6-vector
-
-    \begin{equation}
-        \vs =
-        \begin{pmatrix}
-            S_{11} \\
-            S_{22} \\
-            S_{33} \\
-            \sqrt{2}S_{23} \\
-            \sqrt{2}S_{31} \\
-            \sqrt{2}S_{12}
-        \end{pmatrix} 
-    \end{equation}
-
-    Conversly,a 6-vector $\vs = (s_{\kappa})$ is
-    rearranged into a (33)-matrix
-
-    \begin{equation}
-        \mS = \frac{1}{\sqrt{2}}
-        \begin{pmatrix}
-            \sqrt{2}s_1 & s_6 & s_5 \\
-            s_6 & \sqrt{2}s_2 & s_4 \\
-            s_5 & s_4 & \sqrt{2}s_3
-        \end{pmatrix}
-    \end{equation}
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.2 Cast in three dimensions(3/5)}
-    
-    Example in (33)-matrices:
-
-    The cast is denoted by
-    \begin{eqnarray}
-        \vs = \rm{type}_6[\mS], &
-        \mS = \rm{type}_{(33)}[\vs].
-    \end{eqnarray}
-
-    The norm is preserved by cast:
-    \begin{eqnarray}
-        ||\vs|| = ||\mS||.
-    \end{eqnarray}
-
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-
-
-\begin{frame}
-    \frametitle{2.4.2 Cast in three dimensions(4/5)}
-    
-    Example in [33]-matrices:
-    
-    The elements of a [33]-matrix $\mW = (W_{ij})$ are
-    rearranged into a 3-vector
-
-    \begin{eqnarray}
-        \vw =
-        \begin{pmatrix}
-            W_{32} \\
-            W_{13} \\
-            W_{21} \\
-        \end{pmatrix},&
-        w_{\kappa} = \frac{1}{2} \sum^3_{i,j=1} \epsilon+{\kappa i j} W_{ij}.
-    \end{eqnarray}
-
-    Conversly,a 3-vector $\vw = (w_{\kappa})$ is
-    rearranged into a [33]-matrix
-
-    \begin{eqnarray}
-        \mW = 
-        \begin{pmatrix}
-            0 & -w_3 & w_2 \\
-            w_3 & 0 & -w_1 \\
-            -w_2 & w_1 & 0 
-        \end{pmatrix}
-        = \vw \times \mI, &
-        W_{ij} = - \sum^3_{k=1} \epsilon_{ij\kappa} w_{\kappa}.
-    \end{eqnarray}
-
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.2 Cast in three dimensions(5/5)}
-    
-    Example in [33]-matrices:
-
-    The cast is denoted by
-    \begin{eqnarray}
-        \vw = \rm{type}_3[\mW], &
-        \mW = \rm{type}_{[33]}[\vw].
-    \end{eqnarray}
-
-    The norm is preserved by cast:
-    \begin{eqnarray}
-        ||\mW|| = \sqrt{2}||\vw||, &
-        \mW \vr = \vw \times \vr.
-    \end{eqnarray}
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(1/7)}
-    
-    33-matrices:
-
-    A 3333-tensor $\mathcal{T} = (\mT_{ijkl})$ defines a linear
-    mappig from a 33-matrix to a 33-matrix $\mA = (A_{ij})$ is
-    mapped to matrix $\mAp = (A^{\prime}_{ij})$ in the form
-    \begin{equation}
-        A^{\prime}_{ij} = \sum^3_{k,l=1} T_{ijkl} A_{kl}.
-    \end{equation}
-
-    This mapping is denoted by
-    \begin{equation}
-        \mAp = \mathcal{T}\mA.
-    \end{equation}
-
-    %The identity mapping $\mathcal{I} $
-\end{frame}
-
-%%%%%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(2/7)}
-    
-    Identity mapping:
-
-    The identity mapping $\mathcal{I} = (I_{ijkl})$ is given by
-    \begin{equation}
-        I_{ijkl} = \delta_{ik} \delta_{jl}.
-    \end{equation}
-
-    \vspace{0.5cm}
-    Similarity transformation:
-
-    The similarity transformation $\mAp = \mTi \mA \mT$ (defined by 
-    a nonsingular matrix $\mT = (T_{ij})$ )
-    is given by 
-    \begin{equation}
-        T_{ijkl} = T_{ik}^{-1} T_{lj}.
-    \end{equation}
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%%%%
-
-
-\begin{frame}
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(3/7)}
-    
-    Nonsingular tensor and inverse mapping:
-
-    The mapping $\mathcal{T}$ is nonsingular if and only if 
-    $\rm{type}_{99}[\mathcal{T}]$ is singular.
-    
-    Using this, The inverse mapping $\mathcal{T}^{-1}$ is given by 
-    \begin{equation}
-        \mathcal{T}^{-1} = \rm{type}_{3333}[\rm{type}_{99}[\mathcal{T}]^{-1}]
-    \end{equation}
-
-    \vspace{0.5cm}
-
-    The generalized inverse mapping:
-
-    If mapping $\mathcal{T}$ is singular, its generalized inverse
- mapping
-    $\mathcal{T}^{-}$ is given by
-    \begin{equation}
-        \mathcal{T}^{-} = \rm{type}_{3333}[\rm{type}_{99}[\mathcal{T}]^{-}]
-    \end{equation}
-\end{frame}
-
-%%%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(4/7)}
-
-
-    Spectral decomposition:
-
-    A 33-matrix $\mA$ is an \new{eigenmatrix} of a 3333-tensor
- $\mathcal{T}$
-    for eigenvalue $\lambda$ if 
-    \begin{equation}
-        \mathcal{T} \mA = \lambda \mA.
-    \end{equation}
-
-    A way to solve this problem is solving the following eigenvalue
- problem:
-    \begin{equation}
-       \mT \va = \lambda \va,
-    \end{equation}
-    where $\mT = \rm{type}_{99}[\mathcal{T}]$ and $\va = \rm{type}_9[\mA]$.
-
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(5/7)}
-  
-    (33)-matrices:
-
-    A (33)(33)-tensor $\mathcal{M} = (M_{ijkl})$ defines a linear
-    mapping from a (33)-matrix to (33)-matrix.
-    This mapping is given by
-    \begin{equation}
-        \mSp = \mathcal{M} \mS.
-    \end{equation}
-
-    If a (33)(33)-tensor $\mathcal{M}$ is cast into a 66-matrix
-    $\mM$ and if (33)-matrices $\mS$ and $\mSp$ are cast into 
-    6-vectors $\vs$ and $\vsp$, respectively , 
-    the mapping $\mSp = \mathcal{M}\mS$ is identified with
-    \begin{equation}
-       \vsp = \mathcal{M}\vsp,
-    \end{equation}
-\end{frame}
-
-%%%%%%%%%%%%%%
-\begin{frame} 
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(6/7)}
-
-    Identity mapping:
-
-    The identity mapping $\mathcal{I} = (I_{ijkl})$ is given by
-    \begin{equation}
-        I_{ijkl} = \frac{1}{2} ( \delta_{ik} \delta_{jl} + \delta_{jk} \delta_{il}).
-    \end{equation}
-
-    \vspace{0.5cm}
-
-    Congruence transformation:
-
-    The congruence transformation $\mSp = \mTi \mS \mT$ (defined by 
-    a nonsingular matrix $\mT = (T_{ij})$ which maps a (33)-matrix to a (33)-matrix )
-    is given by 
-    \begin{equation}
-        M_{ijkl} = \frac{1}{2} ( T_{ki} T_{ij} + T_{kj} T_{li}).
-    \end{equation}
-
-\end{frame}
-
-
-%%%%%%%%%%%%%%
-
-\begin{frame}
-    \frametitle{2.4.3Linear mapping of matrices in three dimensions(7/7)}
-  
-    [33]-matrices:
-
-    A [33][33]-tensor $\mathcal{R} = (R_{ijkl})$ defines a linear
-    mapping from a [33]-matrix to [33]-matrix.
-    This mapping is given by
-    \begin{equation}
-        \mWp = \mathcal{R} \mW.
-    \end{equation}
-
-    If a [33][33]-tensor $\mathcal{R}$ is cast into a 33-matrix
-    $\mR$ and if [33]-matrices $\mW$ and $\mWp$ are cast into 
-    3-vectors $\vw$ and $\vwp$, respectively , 
-    the mapping $\mWp = \mathcal{R}\mW$ is identified with
-    \begin{equation}
-       \vwp = 2\mathcal{R}\vwp,
-    \end{equation}
-\end{frame}
-
-%%%%%%%%%%%
-
-\end{document}
diff --git a/latex/7_8/presen.toc b/latex/7_8/presen.toc
deleted file mode 100644 (file)
index 8c353fc..0000000
+++ /dev/null
@@ -1,2 +0,0 @@
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-\select@language {english}
diff --git a/latex/7_8/presen_yasuda.pdf b/latex/7_8/presen_yasuda.pdf
deleted file mode 100644 (file)
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new file mode 100644 (file)
index 0000000..e9a6ab4
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+
+main.pdf : main.tex 
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diff --git a/latex/M2/siryou/3/image/camera2.eps b/latex/M2/siryou/3/image/camera2.eps
new file mode 100755 (executable)
index 0000000..9ab6713
--- /dev/null
@@ -0,0 +1,1931 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%Creator: GIMP PostScript file plugin V 1.17 by Peter Kirchgessner
+%%Title: camera2.eps
+%%CreationDate: Thu Feb 26 06:26:35 2009
+%%DocumentData: Clean7Bit
+%%LanguageLevel: 2
+%%Pages: 1
+%%BoundingBox: 14 14 610 487
+%%EndComments
+%%BeginProlog
+% Use own dictionary to avoid conflicts
+10 dict begin
+%%EndProlog
+%%Page: 1 1
+% Translate for offset
+14.173228346456694 14.173228346456694 translate
+% Translate to begin of first scanline
+0 472.31599356084195 translate
+595.26809347191829 -472.31599356084195 scale
+% Image geometry
+794 630 8
+% Transformation matrix
+[ 794 0 0 630 0 0 ]
+% Strings to hold RGB-samples per scanline
+/rstr 794 string def
+/gstr 794 string def
+/bstr 794 string def
+{currentfile /ASCII85Decode filter /RunLengthDecode filter rstr readstring pop}
+{currentfile /ASCII85Decode filter /RunLengthDecode filter gstr readstring pop}
+{currentfile /ASCII85Decode filter /RunLengthDecode filter bstr readstring pop}
+true 3
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+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+JcC<$JcC<$JcC<$kPp&~>
+%%EndData
+showpage
+%%Trailer
+end
+%%EOF
similarity index 62%
rename from latex/7_8/image/dp.eps
rename to latex/M2/siryou/3/image/fig1.eps
index fe14d7c..e7135fa 100644 (file)
@@ -1,7 +1,7 @@
 %!PS-Adobe-3.0 EPSF-3.0
-%%BoundingBox: 7 629 771 791
-%%Title: image/dp
-%%CreationDate: Mon Jun 28 14:37:55 2010
+%%BoundingBox: 77 580 375 780
+%%Title: fig1
+%%CreationDate: Sat Jun 26 14:26:55 2010
 %%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
 %%ProducedBy: (unknown)
 %%Pages: 1
@@ -111,7 +111,7 @@ end
 %%EndProlog
 %%Page: 1 1
 
-%%PageBoundingBox: 7 629 771 791
+%%PageBoundingBox: 77 580 375 780
 tgifdict begin
 /tgifsavedpage save def
 
@@ -127,72 +127,106 @@ GS
 
 /tgiforigctm matrix currentmatrix def
 
+% OVAL
+0 SG
+GS
+   GS
+      NP 380 275 170 175 TGEL
+      S
+   GR
+GR
+
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      15 230 M
-      48.33 180.00 81.67 138.33
-      115 105 CT
+      290 180 M
+      480 180 L
    TGSM
    1 W
    S
 GR
 
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      115 105 M
-      165.00 88.33 223.33 88.33
-      290 105 CT
+      290 180 M
+      290 360 L
+      480 360 L
+      480 180 L
    TGSM
    1 W
    S
 GR
 
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 370 260 M 390 260 L 390 290 L 370 290 L CP
+      S
+   GR
+GR
+
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      15 230 M
-      98.33 213.33 173.33 213.33
-      240 230 CT
+      380 260 M
+      390 250 L
+      370 250 L
+      380 260 L
    TGSM
    1 W
    S
 GR
 
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      240 230 M
-      256.67 180.00 273.33 138.33
-      290 105 CT
+      380 270 M
+      0 190 atan DU cos 10.000 MU 570 exch SU
+      exch sin 10.000 MU 270 exch SU L
    TGSM
-   1 W
+   2 W
    S
+   1 W
 GR
-
-% OVAL
-1 SG
-NP 145 195 5 5 TGEL F
 GS
-   GS
-      NP 145 195 5 5 TGEL
-      S
-   GR
+   TGSM
+   NP
+      570 270 10.000 4.000 190 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      570 270 10.000 4.000 190 0 TGAT
+   CP F
 GR
 
-% OVAL
-1 SG
-NP 125 245 5 5 TGEL F
+% POLY/OPEN-SPLINE
+0 SG
 GS
-   GS
-      NP 125 245 5 5 TGEL
-      S
-   GR
+   NP
+      380 270 M
+      -150 0 atan DU cos 10.000 MU 380 exch SU
+      exch sin 10.000 MU 120 exch SU L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+GS
+   TGSM
+   NP
+      380 120 10.000 4.000 0 -150 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      380 120 10.000 4.000 0 -150 TGAT
+   CP F
 GR
 
 % TEXT
@@ -200,11 +234,11 @@ NP
 0 SG
    GS
       1 W
-      100 285 M
+      570 280 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (X) SH
+            (x) SH
       GR
    GR
 
@@ -213,33 +247,22 @@ NP
 0 SG
    GS
       1 W
-      155 170 M
+      350 120 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (Xp) SH
+            (z) SH
       GR
    GR
 
 % POLY/OPEN-SPLINE
-1 SG
-GS
-   NP
-      125 245 M
-      145 195 L
-   TGSM
-   1 W
-   S
-GR
-
-% POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      310 165 M
-      270.00 248.33 215.00 268.33
-      -65 -105 atan DU cos 8.000 MU 145 exch SU
-      exch sin 8.000 MU 225 exch SU CT
+      600 120 M
+      573.33 126.67 550.00 143.33
+      40 -30 atan DU cos 8.000 MU 530 exch SU
+      exch sin 8.000 MU 170 exch SU CT
    TGSM
    1 W
    S
@@ -247,11 +270,11 @@ GR
 GS
    TGSM
    NP
-      145 225 8.000 3.000 -105 -65 TGAT
+      530 170 8.000 3.000 -30 40 TGAT
    1 SG CP F
-   1 SG
+   0 SG
    NP
-      145 225 8.000 3.000 -105 -65 TGAT
+      530 170 8.000 3.000 -30 40 TGAT
    CP F
 GR
 
@@ -260,74 +283,83 @@ NP
 0 SG
    GS
       1 W
-      315 145 M
+      610 120 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (ex) SH
+            (zensyu) SH
       GR
    GR
 
-% TEXT
-NP
-1 SG
-   GS
-      1 W
-      360 250 M
-      GS
-            1 SG
-            /Courier FF [14 0 0 -14 0 0] MS
-            (ex2) SH
-      GR
-   GR
-
-% TEXT
-NP
-1 SG
-   GS
-      1 W
-      360 305 M
-      GS
-            1 SG
-            /Courier FF [14 0 0 -14 0 0] MS
-            (ex3) SH
-      GR
-   GR
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      210 400 M
+      296.67 386.67 353.33 353.33
+      -80 40 atan DU cos 8.000 MU 380 exch SU
+      exch sin 8.000 MU 300 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      380 300 8.000 3.000 40 -80 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      380 300 8.000 3.000 40 -80 TGAT
+   CP F
+GR
 
 % TEXT
 NP
-1 SG
+0 SG
    GS
       1 W
-      360 190 M
+      140 400 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (ex1) SH
+            (camera) SH
       GR
    GR
 
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      390 320 M
-      775 320 L
+      180 170 M
+      233.33 176.67 266.67 190.00
+      30 20 atan DU cos 8.000 MU 280 exch SU
+      exch sin 8.000 MU 210 exch SU CT
    TGSM
    1 W
    S
 GR
+GS
+   TGSM
+   NP
+      280 210 8.000 3.000 20 30 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      280 210 8.000 3.000 20 30 TGAT
+   CP F
+GR
 
 % TEXT
 NP
-1 SG
+0 SG
    GS
       1 W
-      420 360 M
+      140 150 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (repro) SH
+            (screen) SH
       GR
    GR
 
@@ -337,6 +369,6 @@ end
 showpage
 
 %%Trailer
-%MatchingCreationDate: Mon Jun 28 14:37:55 2010
+%MatchingCreationDate: Sat Jun 26 14:26:55 2010
 %%DocumentFonts: Courier
 %%EOF
diff --git a/latex/M2/siryou/3/image/fig2.eps b/latex/M2/siryou/3/image/fig2.eps
new file mode 100644 (file)
index 0000000..a2b194f
--- /dev/null
@@ -0,0 +1,398 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 150 558 403 821
+%%Title: fig2
+%%CreationDate: Sun Jun 27 10:08:25 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 150 558 403 821
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% OVAL
+0 SG
+GS
+   GS
+      NP 475 285 205 205 TGEL
+      S
+   GR
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 450 290 M 490 290 L 490 350 L 450 350 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 290 M
+      450 270 L
+      490 270 L
+      470 290 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      380 210 M
+      570 210 L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 270 M
+      340 130 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 340 130 5 5 TGEL F
+GS
+   GS
+      NP 340 130 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 270 M
+      470 210 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 270 M
+      473.33 263.33 476.67 256.67
+      480 250 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 210 M
+      476.67 220.00 480.00 228.33
+      480 235 CT
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      500 240 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (d0) SH
+      GR
+   GR
+
+% OVAL
+0 SG
+NP 415 210 5 5 TGEL F
+GS
+   GS
+      NP 415 210 5 5 TGEL
+      S
+   GR
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      415 180 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (xy) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      470 270 M
+      470 60 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      505 40 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (offset) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      470 270 M
+      715 270 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      695 270 M
+      695.00 223.33 681.67 183.33 655.00 150.00 CT
+      628.33 116.67 600.83 94.17 572.50 82.50 CT
+      544.17 70.83 510.00 65.00
+      0 -60 atan DU cos 8.000 MU 470 exch SU
+      exch sin 8.000 MU 65 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      470 65 8.000 3.000 -60 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      470 65 8.000 3.000 -60 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      410 210 M
+      416.67 200.00 423.33 195.00
+      430 195 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 210 M
+      466.67 203.33 460.00 198.33
+      450 195 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 240 M
+      463.33 240.00 456.67 243.33
+      10 -10 atan DU cos 8.000 MU 450 exch SU
+      exch sin 8.000 MU 250 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      450 250 8.000 3.000 -10 10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      450 250 8.000 3.000 -10 10 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      400 255 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (theta) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sun Jun 27 10:08:25 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/fig3.eps b/latex/M2/siryou/3/image/fig3.eps
new file mode 100644 (file)
index 0000000..1cd1bb2
--- /dev/null
@@ -0,0 +1,568 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 24 598 355 827
+%%Title: fig3
+%%CreationDate: Sun Jun 27 09:58:26 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 24 598 355 827
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      45 250 M
+      0 575 atan DU cos 8.000 MU 620 exch SU
+      exch sin 8.000 MU 250 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      620 250 8.000 3.000 575 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      620 250 8.000 3.000 575 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 60 M
+      555 420 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      405 160 M
+      405 340 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      140 245 M
+      85 285 L
+      110 320 L
+      165 280 L
+      140 245 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      155 265 M
+      160 230 L
+      185 270 L
+      155 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 245 M
+      520 15 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      200 15 M
+      405 340 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      285 155 M
+      300 145 L
+      310 155 L
+      295 165 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      230 210 M
+      405 160 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% OVAL
+0 SG
+NP 405 160 5 5 TGEL F
+GS
+   GS
+      NP 405 160 5 5 TGEL
+      S
+   GR
+GR
+
+% OVAL
+0 SG
+NP 405 335 5 5 TGEL F
+GS
+   GS
+      NP 405 335 5 5 TGEL
+      S
+   GR
+GR
+
+% OVAL
+0 SG
+NP 310 190 5 5 TGEL F
+GS
+   GS
+      NP 310 190 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      230 250 M
+      230.00 243.33 228.33 238.33 225.00 235.00 CT
+      221.67 231.67 216.67 226.67
+      -10 -10 atan DU cos 8.000 MU 210 exch SU
+      exch sin 8.000 MU 220 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      210 220 8.000 3.000 -10 -10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      210 220 8.000 3.000 -10 -10 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      225 270 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (thetax) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+GS
+   225 178 TR
+   [1.556 0.000 0.000 1.000 -5 0] CO
+   225 NE 178 NE TR
+GR
+   GS
+      1 W
+      225 178 TR
+      [1.556 0.000 0.000 1.000 -5 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (d) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      295 165 M
+      285.00 165.00 275.00 166.67
+      265 170 CT
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 170 250 5 5 TGEL F
+GS
+   GS
+      NP 170 250 5 5 TGEL
+      S
+   GR
+GR
+
+% TEXT
+NP
+0 SG
+GS
+   95 218 TR
+   [1.556 0.000 0.000 1.000 0 0] CO
+   95 NE 218 NE TR
+GR
+   GS
+      1 W
+      95 218 TR
+      [1.556 0.000 0.000 1.000 0 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (c) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      425 155 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (s1) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      425 340 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (s2) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      115 105 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (vscreen) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 120 M
+      208.33 123.33 235.00 118.33
+      -20 30 atan DU cos 8.000 MU 255 exch SU
+      exch sin 8.000 MU 105 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      255 105 8.000 3.000 30 -20 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      255 105 8.000 3.000 30 -20 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      455 210 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (screen) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      575 165 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      475 220 M
+      468.33 230.00 445.00 233.33
+      -5 -60 atan DU cos 8.000 MU 405 exch SU
+      exch sin 8.000 MU 230 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      405 230 8.000 3.000 -60 -5 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      405 230 8.000 3.000 -60 -5 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      600 185 M
+      596.67 201.67 581.67 213.33
+      10 -40 atan DU cos 8.000 MU 555 exch SU
+      exch sin 8.000 MU 220 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      170 245 M
+      176.67 231.67 188.33 220.00
+      205 210 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      250 310 M
+      290.00 283.33 310.00 246.67
+      -70 0 atan DU cos 8.000 MU 310 exch SU
+      exch sin 8.000 MU 200 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      310 200 8.000 3.000 0 -70 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      310 200 8.000 3.000 0 -70 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      210 335 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (touei) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sun Jun 27 09:58:26 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/fig4.eps b/latex/M2/siryou/3/image/fig4.eps
new file mode 100644 (file)
index 0000000..4bf1a2f
--- /dev/null
@@ -0,0 +1,627 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 24 556 355 802
+%%Title: fig4
+%%CreationDate: Sun Jun 27 10:48:45 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 24 556 355 802
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      45 250 M
+      620 250 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 60 M
+      555 420 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   80 225 TR
+   [0.954 0.299 -0.299 0.954 13 -10] CO
+   80 NE 225 NE TR
+GS
+   NP
+      135 225 M
+      80 265 L
+      105 300 L
+      160 260 L
+      135 225 L
+   TGSM
+   1 W
+   S
+GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   155 225 TR
+   [0.975 0.223 -0.223 0.975 5 -3] CO
+   155 NE 225 NE TR
+GS
+   NP
+      155 260 M
+      160 225 L
+      185 265 L
+      155 260 L
+   TGSM
+   1 W
+   S
+GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 250 M
+      610 135 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      280 70 M
+      370 335 L
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      245 270 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (thetax) SH
+      GR
+   GR
+
+% OVAL
+0 SG
+NP 170 250 5 5 TGEL F
+GS
+   GS
+      NP 170 250 5 5 TGEL
+      S
+   GR
+GR
+
+% TEXT
+NP
+0 SG
+GS
+   115 208 TR
+   [1.556 0.000 0.000 1.000 0 0] CO
+   115 NE 208 NE TR
+GR
+   GS
+      1 W
+      115 208 TR
+      [1.556 0.000 0.000 1.000 0 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (c) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      140 115 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (vscreen) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      215 130 M
+      248.33 133.33 275.00 128.33
+      -20 30 atan DU cos 8.000 MU 295 exch SU
+      exch sin 8.000 MU 115 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      295 115 8.000 3.000 30 -20 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      295 115 8.000 3.000 30 -20 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      575 165 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      600 185 M
+      596.67 201.67 581.67 213.33
+      10 -40 atan DU cos 8.000 MU 555 exch SU
+      exch sin 8.000 MU 220 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      170 250 M
+      176.67 233.33 186.67 221.67
+      200 215 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      550 85 M
+      530.00 78.33 511.67 78.33
+      495 85 CT
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      325 140 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (rp) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 255 M
+      185.00 261.67 196.67 266.67
+      210 270 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 250 M
+      541.67 260.00 525.00 266.67
+      505 270 CT
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      335 285 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (r) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      320 215 M
+      315 205 L
+      325 200 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 235 M
+      535 235 L
+      535 250 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      170 250 M
+      555 85 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 555 85 5 5 TGEL F
+GS
+   GS
+      NP 555 85 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      255 250 M
+      255.00 243.33 253.33 236.67
+      -10 -5 atan DU cos 8.000 MU 250 exch SU
+      exch sin 8.000 MU 230 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      250 230 8.000 3.000 -5 -10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      250 230 8.000 3.000 -5 -10 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      280 225 M
+      280.00 218.33 276.67 211.67
+      -10 -10 atan DU cos 8.000 MU 270 exch SU
+      exch sin 8.000 MU 205 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      270 205 8.000 3.000 -10 -10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      270 205 8.000 3.000 -10 -10 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      290 235 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (thetap) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      60 470 M
+      250 390 L
+      250 470 L
+      60 470 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      250 460 M
+      230 460 L
+      230 470 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      120 470 M
+      120.00 463.33 116.67 456.67
+      110 450 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [12 4 4 4 4 4] 0 SD
+   NP
+      60 470 M
+      170 250 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [12 4 4 4 4 4] 0 SD
+   NP
+      250 390 M
+      320 190 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [12 4 4 4 4 4] 0 SD
+   NP
+      250 470 M
+      330 210 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      125 460 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (thetap) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      150 490 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (f) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      290 420 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (dist) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sun Jun 27 10:48:45 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/fig5.eps b/latex/M2/siryou/3/image/fig5.eps
new file mode 100644 (file)
index 0000000..a6965b6
--- /dev/null
@@ -0,0 +1,590 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 103 479 349 805
+%%Title: fig5
+%%CreationDate: Sat Jun 26 14:34:04 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 88 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/tgifpatdict 10 dict def
+
+/tgifpatbyte
+ { currentdict /retstr get exch
+   pat i cellsz mod get put
+ } def
+
+/tgifpatproc
+ { 0 1 widthlim {tgifpatbyte} for retstr
+   /i i 1 add def
+ } def
+
+/TGPF % tgifpatfill
+ { tgifpatdict begin
+      /h exch def
+      /w exch def
+      /lty exch def
+      /ltx exch def
+      /cellsz exch def
+      /pat exch def
+
+      /widthlim w cellsz div cvi 1 sub def
+      /retstr widthlim 1 add string def
+      /i 0 def
+
+      tgiforigctm setmatrix
+      ltx lty translate
+      w h true [1 0 0 1 0 0] {tgifpatproc} imagemask
+      ltx neg lty neg translate
+   end
+ } def
+
+/pat3 <8000000008000000> def
+/pat4 <8800000022000000> def
+/pat5 <8800220088002200> def
+/pat6 <8822882288228822> def
+/pat7 <aa55aa55aa55aa55> def
+/pat8 <77dd77dd77dd77dd> def
+/pat9 <77ffddff77ffddff> def
+/pat10 <77ffffff77ffffff> def
+/pat11 <7fffffff7fffffff> def
+/pat12 <8040200002040800> def
+/pat13 <40a00000040a0000> def
+/pat14 <ff888888ff888888> def
+/pat15 <ff808080ff080808> def
+/pat16 <f87422478f172271> def
+/pat17 <038448300c020101> def
+/pat18 <081c22c180010204> def
+/pat19 <8080413e080814e3> def
+/pat20 <8040201008040201> def
+/pat21 <8844221188442211> def
+/pat22 <77bbddee77bbddee> def
+/pat23 <c1e070381c0e0783> def
+/pat24 <7fbfdfeff7fbfdfe> def
+/pat25 <3e1f8fc7e3f1f87c> def
+/pat26 <0102040810204080> def
+/pat27 <1122448811224488> def
+/pat28 <eeddbb77eeddbb77> def
+/pat29 <83070e1c3870e0c1> def
+/pat30 <fefdfbf7efdfbf7f> def
+/pat31 <7cf8f1e3c78f1f3e> def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 103 479 349 805
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      185 175 M
+      238.33 115.00 295.00 80.00 355.00 70.00 CT
+      415.00 60.00 476.67 58.33
+      540 65 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      185 435 M
+      238.33 375.00 295.00 340.00 355.00 330.00 CT
+      415.00 320.00 476.67 318.33
+      540 325 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      490 320 M
+      345 370 L
+      270 395 L
+      295 510 L
+      485 430 L
+      490 320 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      295 505 M
+      260 420 L
+      525 335 L
+      485 430 L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      400 565 M
+      450 555 L
+      460 620 L
+      415 630 L
+      400 565 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      410 565 M
+      400 555 L
+      445 545 L
+      435 560 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [2 2] 0 SD
+   NP
+      485 430 M
+      420 550 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      385 420 M
+      415 410 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      400 415 M
+      400 425 L
+      390 430 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      295 510 M
+      305 430 L
+      470 375 L
+      485 435 L
+   CP 1 SG EF
+   0 SG
+   NP
+      295 510 M
+      305 430 L
+      470 375 L
+      485 435 L
+   CP EC NP
+   pat20 8 288 368 200 144 TGPF
+GR
+GS
+   NP
+      295 510 M
+      305 430 L
+      470 375 L
+      485 435 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 4] 0 SD
+   NP
+      385 420 M
+      370 360 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      370 360 M
+      345 245 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 345 245 5 5 TGEL F
+GS
+   GS
+      NP 345 245 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      295 510 M
+      485 430 L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      415 550 M
+      385 420 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 385 425 5 5 TGEL F
+GS
+   GS
+      NP 385 425 5 5 TGEL
+      2 W
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [2 2] 0 SD
+   NP
+      490 320 M
+      420 550 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [2 2] 0 SD
+   NP
+      270 395 M
+      415 550 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [2 2] 0 SD
+   NP
+      295 510 M
+      420 550 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      385 210 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      485 580 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (camera) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      555 375 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (vscreen) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      555 285 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (screen) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      560 475 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (image) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      530 275 M
+      453.33 285.00 412.50 296.67 407.50 310.00 CT
+      402.50 323.33 400.00 336.67
+      20 0 atan DU cos 8.000 MU 400 exch SU
+      exch sin 8.000 MU 350 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      400 350 8.000 3.000 0 20 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      400 350 8.000 3.000 0 20 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 470 M
+      521.67 476.67 493.33 476.67 470.00 470.00 CT
+      446.67 463.33 425.00 455.00
+      -15 -30 atan DU cos 8.000 MU 405 exch SU
+      exch sin 8.000 MU 445 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      405 445 8.000 3.000 -30 -15 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      405 445 8.000 3.000 -30 -15 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      570 385 M
+      556.67 398.33 533.33 403.33
+      -5 -50 atan DU cos 8.000 MU 500 exch SU
+      exch sin 8.000 MU 400 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      500 400 8.000 3.000 -50 -5 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      500 400 8.000 3.000 -50 -5 TGAT
+   CP F
+GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sat Jun 26 14:34:04 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/fig6.eps b/latex/M2/siryou/3/image/fig6.eps
new file mode 100644 (file)
index 0000000..0c64c2c
--- /dev/null
@@ -0,0 +1,401 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 46 527 355 802
+%%Title: fig6
+%%CreationDate: Fri Jul  2 11:10:24 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 53 dict def
+tgifdict begin
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 46 527 355 802
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 395 M
+      0 445 atan DU cos 8.000 MU 620 exch SU
+      exch sin 8.000 MU 395 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      620 395 8.000 3.000 445 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      620 395 8.000 3.000 445 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 60 M
+      555 545 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      405 160 M
+      405 340 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      140 245 M
+      85 285 L
+      110 320 L
+      165 280 L
+      140 245 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      155 265 M
+      160 230 L
+      185 270 L
+      155 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+GS
+   95 218 TR
+   [1.556 0.000 0.000 1.000 0 0] CO
+   95 NE 218 NE TR
+GR
+   GS
+      1 W
+      95 218 TR
+      [1.556 0.000 0.000 1.000 0 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (c) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      455 210 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (screen) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      575 165 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      475 220 M
+      468.33 230.00 445.00 233.33
+      -5 -60 atan DU cos 8.000 MU 405 exch SU
+      exch sin 8.000 MU 230 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      405 230 8.000 3.000 -60 -5 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      405 230 8.000 3.000 -60 -5 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      600 185 M
+      596.67 201.67 581.67 213.33
+      10 -40 atan DU cos 8.000 MU 555 exch SU
+      exch sin 8.000 MU 220 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 250 M
+      415 110 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 155 M
+      175 395 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 250 M
+      270 250 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      245 250 M
+      245.00 236.67 241.67 225.00
+      -15 -10 atan DU cos 8.000 MU 235 exch SU
+      exch sin 8.000 MU 215 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      235 215 8.000 3.000 -10 -15 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      235 215 8.000 3.000 -10 -15 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      140 415 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (O) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      270 220 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (theta) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      195 290 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (height) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 395 M
+      -145 0 atan DU cos 8.000 MU 175 exch SU
+      exch sin 8.000 MU 250 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      175 250 8.000 3.000 0 -145 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      175 250 8.000 3.000 0 -145 TGAT
+   CP F
+GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Fri Jul  2 11:10:24 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/fig7.eps b/latex/M2/siryou/3/image/fig7.eps
new file mode 100644 (file)
index 0000000..7790063
--- /dev/null
@@ -0,0 +1,685 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 12 569 580 822
+%%Title: fig7
+%%CreationDate: Mon Jul  5 16:16:52 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 12 569 580 822
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% OVAL
+0 SG
+GS
+   GS
+      NP 230 265 205 205 TGEL
+      S
+   GR
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 205 270 M 245 270 L 245 330 L 205 330 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 270 M
+      205 250 L
+      245 250 L
+      225 270 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      135 190 M
+      325 190 L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 250 M
+      65 140 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 65 140 5 5 TGEL F
+GS
+   GS
+      NP 65 140 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 250 M
+      395 145 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 395 145 5 5 TGEL F
+GS
+   GS
+      NP 395 145 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 210 M
+      208.33 203.33 196.67 208.33
+      25 -10 atan DU cos 8.000 MU 190 exch SU
+      exch sin 8.000 MU 225 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      190 225 8.000 3.000 -10 25 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      190 225 8.000 3.000 -10 25 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      150 250 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (theta) SH
+      GR
+   GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 550 255 M 1030 255 L 1030 350 L 550 350 L CP
+      S
+   GR
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 745 255 M 875 255 L 875 350 L 745 350 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      745 300 M
+      0 130 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      0 130 atan DU cos 8.000 MU 875 exch SU
+      exch sin 8.000 MU 300 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      745 300 8.000 3.000 -130 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      745 300 8.000 3.000 -130 0 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      875 300 8.000 3.000 130 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      875 300 8.000 3.000 130 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      525 350 M
+      -95 0 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      -95 0 atan DU cos 8.000 MU 525 exch SU
+      exch sin 8.000 MU 255 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      525 350 8.000 3.000 0 95 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      525 350 8.000 3.000 0 95 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      525 255 8.000 3.000 0 -95 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      525 255 8.000 3.000 0 -95 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      550 235 M
+      0 480 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      0 480 atan DU cos 8.000 MU 1030 exch SU
+      exch sin 8.000 MU 235 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      550 235 8.000 3.000 -480 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      550 235 8.000 3.000 -480 0 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      1030 235 8.000 3.000 480 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      1030 235 8.000 3.000 480 0 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+GS
+   810 208 TR
+   [1.556 0.000 0.000 1.000 -5 0] CO
+   810 NE 208 NE TR
+GR
+   GS
+      1 W
+      810 208 TR
+      [1.556 0.000 0.000 1.000 -5 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (w) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      500 305 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (h) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      750 325 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (wtheta) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 4] 0 SD
+   NP
+      225 250 M
+      475 250 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 4] 0 SD
+   NP
+      225 250 M
+      225 25 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      455 250 M
+      445.00 193.33 428.33 150.00 405.00 120.00 CT
+      381.67 90.00 357.50 69.17 332.50 57.50 CT
+      307.50 45.83 271.67 38.33
+      -5 -70 atan DU cos 8.000 MU 225 exch SU
+      exch sin 8.000 MU 35 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      225 35 8.000 3.000 -70 -5 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      225 35 8.000 3.000 -70 -5 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      370 50 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (offset) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      135 65 M
+      145 90 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      125 70 M
+      135 95 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      315 65 M
+      300 85 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      325 70 M
+      310 90 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 4] 0 SD
+   NP
+      810 255 M
+      810 350 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      810 280 M
+      0 220 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      0 220 atan DU cos 8.000 MU 1030 exch SU
+      exch sin 8.000 MU 280 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      810 280 8.000 3.000 -220 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      810 280 8.000 3.000 -220 0 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      1030 280 8.000 3.000 220 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      1030 280 8.000 3.000 220 0 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      930 305 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (woffset) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      770 245 M
+      770 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      780 245 M
+      780 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      835 245 M
+      835 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      845 245 M
+      845 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      645 145 M
+      701.67 178.33 741.67 223.33
+      85 35 atan DU cos 8.000 MU 765 exch SU
+      exch sin 8.000 MU 280 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      765 280 8.000 3.000 35 85 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      765 280 8.000 3.000 35 85 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      605 125 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (contents) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      780 385 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Mon Jul  5 16:16:52 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/fig_7.eps b/latex/M2/siryou/3/image/fig_7.eps
new file mode 100644 (file)
index 0000000..f6a46ed
--- /dev/null
@@ -0,0 +1,418 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 12 569 552 803
+%%Title: fig_7
+%%CreationDate: Fri Jul  2 14:11:56 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 12 569 552 803
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% OVAL
+0 SG
+GS
+   GS
+      NP 230 265 205 205 TGEL
+      S
+   GR
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 205 270 M 245 270 L 245 330 L 205 330 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 270 M
+      205 250 L
+      245 250 L
+      225 270 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      135 190 M
+      325 190 L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 250 M
+      65 140 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 65 140 5 5 TGEL F
+GS
+   GS
+      NP 65 140 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      225 250 M
+      395 145 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 395 145 5 5 TGEL F
+GS
+   GS
+      NP 395 145 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      265 225 M
+      238.33 205.00 213.33 205.00
+      30 -35 atan DU cos 8.000 MU 190 exch SU
+      exch sin 8.000 MU 225 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      190 225 8.000 3.000 -35 30 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      190 225 8.000 3.000 -35 30 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      265 245 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (theta) SH
+      GR
+   GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 500 195 M 980 195 L 980 290 L 500 290 L CP
+      S
+   GR
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 695 195 M 825 195 L 825 290 L 695 290 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      695 240 M
+      0 130 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      0 130 atan DU cos 8.000 MU 825 exch SU
+      exch sin 8.000 MU 240 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      695 240 8.000 3.000 -130 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      695 240 8.000 3.000 -130 0 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      825 240 8.000 3.000 130 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      825 240 8.000 3.000 130 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      475 290 M
+      -95 0 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      -95 0 atan DU cos 8.000 MU 475 exch SU
+      exch sin 8.000 MU 195 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      475 290 8.000 3.000 0 95 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      475 290 8.000 3.000 0 95 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      475 195 8.000 3.000 0 -95 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      475 195 8.000 3.000 0 -95 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      500 175 M
+      0 480 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      0 480 atan DU cos 8.000 MU 980 exch SU
+      exch sin 8.000 MU 175 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      500 175 8.000 3.000 -480 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      500 175 8.000 3.000 -480 0 TGAT
+   CP F
+GR
+GS
+   TGSM
+   NP
+      980 175 8.000 3.000 480 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      980 175 8.000 3.000 480 0 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      535 155 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (w) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      450 245 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (h) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      740 265 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (wtheta) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Fri Jul  2 14:11:56 2010
+%%DocumentFonts: Courier
+%%EOF
diff --git a/latex/M2/siryou/3/image/null.eps b/latex/M2/siryou/3/image/null.eps
new file mode 100644 (file)
index 0000000..e821b6d
--- /dev/null
@@ -0,0 +1,103 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: -1 749 114 836
+%%Title: null
+%%CreationDate: Fri Jun 11 17:48:36 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 48 dict def
+tgifdict begin
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: -1 749 114 836
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 0 0 M 200 0 L 200 150 L 0 150 L CP
+      2 W
+      S
+   GR
+GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Fri Jun 11 17:48:36 2010
+%%DocumentFonts: 
+%%EOF
similarity index 67%
rename from latex/7_8/image/conic.eps
rename to latex/M2/siryou/3/image/proj.eps
index bd76670..b5726a3 100644 (file)
@@ -1,7 +1,7 @@
 %!PS-Adobe-3.0 EPSF-3.0
-%%BoundingBox: 32 635 305 778
-%%Title: image/conic
-%%CreationDate: Mon Jun 28 14:37:55 2010
+%%BoundingBox: 43 620 274 815
+%%Title: proj
+%%CreationDate: Mon Jun 14 15:06:12 2010
 %%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
 %%ProducedBy: (unknown)
 %%Pages: 1
@@ -9,7 +9,7 @@
 %%EndComments
 %%BeginProlog
 
-/tgifdict 55 dict def
+/tgifdict 53 dict def
 tgifdict begin
 
 /tgifellipsedict 6 dict def
@@ -29,27 +29,6 @@ tgifellipsedict /mtrx matrix put
    end
  } def
 
-/tgifarrowtipdict 8 dict def
-tgifarrowtipdict /mtrx matrix put
-
-/TGAT % tgifarrowtip
- { tgifarrowtipdict begin
-      /dy exch def
-      /dx exch def
-      /h exch def
-      /w exch def
-      /y exch def
-      /x exch def
-      /savematrix mtrx currentmatrix def
-      x y translate
-      dy dx atan rotate
-      0 0 moveto
-      w neg h lineto
-      w neg h neg lineto
-      savematrix setmatrix
-   end
- } def
-
 /TGMAX
  { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
  } def
@@ -111,7 +90,7 @@ end
 %%EndProlog
 %%Page: 1 1
 
-%%PageBoundingBox: 32 635 305 778
+%%PageBoundingBox: 43 620 274 815
 tgifdict begin
 /tgifsavedpage save def
 
@@ -127,139 +106,134 @@ GS
 
 /tgiforigctm matrix currentmatrix def
 
-% OVAL
-1 SG
+% POLY/OPEN-SPLINE
+0 SG
 GS
-   GS
-      NP 300 245 240 105 TGEL
-      S
-   GR
+   NP
+      240 60 M
+      180 240 L
+      310 380 L
+      390 180 L
+      240 60 L
+   TGSM
+   1 W
+   S
 GR
 
 % OVAL
-1 SG
-NP 495 145 5 5 TGEL F
+0 SG
+NP 85 295 5 5 TGEL F
 GS
    GS
-      NP 495 145 5 5 TGEL
+      NP 85 295 5 5 TGEL
       S
    GR
 GR
 
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
 GS
    NP
-      495 145 M
-      365 145 L
+      90 295 M
+      270 210 L
    TGSM
    1 W
    S
 GR
 
 % POLY/OPEN-SPLINE
-1 SG
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      270 210 M
+      370 165 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
 GS
    NP
-      495 145 M
-      495 180 L
+      370 165 M
+      480 120 L
    TGSM
    1 W
    S
 GR
 
+% OVAL
+0 SG
+NP 480 120 5 5 TGEL F
+GS
+   GS
+      NP 480 120 5 5 TGEL
+      S
+   GR
+GR
+
 % TEXT
 NP
-1 SG
+0 SG
    GS
       1 W
-      410 115 M
+      85 260 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (dx) SH
+            (C) SH
       GR
    GR
 
 % TEXT
 NP
-1 SG
+0 SG
    GS
       1 W
-      510 165 M
+      210 50 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (dy) SH
+            (Pi) SH
       GR
    GR
 
-% OVAL
-1 SG
-GS
-   GS
-      NP 465 170 5 5 TGEL
-      S
-   GR
-GR
-
-% POLY/OPEN-SPLINE
-1 SG
-GS
-   NP
-      495 145 M
-      465 170 L
-   TGSM
-   1 W
-   S
-GR
-
-% POLY/OPEN-SPLINE
-1 SG
-GS
-   NP
-      425 165 M
-      441.67 158.33 456.67 155.00
-      0 20 atan DU cos 8.000 MU 470 exch SU
-      exch sin 8.000 MU 155 exch SU CT
-   TGSM
-   1 W
-   S
-GR
-GS
-   TGSM
-   NP
-      470 155 8.000 3.000 20 0 TGAT
-   1 SG CP F
-   1 SG
-   NP
-      470 155 8.000 3.000 20 0 TGAT
-   CP F
-GR
-
 % TEXT
 NP
-1 SG
+0 SG
    GS
       1 W
-      415 190 M
+      455 90 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (dp) SH
+            (X) SH
       GR
    GR
 
+% OVAL
+0 SG
+NP 270 210 5 5 TGEL F
+GS
+   GS
+      NP 270 210 5 5 TGEL
+      S
+   GR
+GR
+
 % TEXT
 NP
-1 SG
+0 SG
    GS
       1 W
-      450 350 M
+      260 240 M
       GS
-            1 SG
+            0 SG
             /Courier FF [14 0 0 -14 0 0] MS
-            (C) SH
+            (Proj) SH
       GR
    GR
 
@@ -269,6 +243,6 @@ end
 showpage
 
 %%Trailer
-%MatchingCreationDate: Mon Jun 28 14:37:55 2010
+%MatchingCreationDate: Mon Jun 14 15:06:12 2010
 %%DocumentFonts: Courier
 %%EOF
diff --git a/latex/M2/siryou/3/image/view.eps b/latex/M2/siryou/3/image/view.eps
new file mode 100644 (file)
index 0000000..3c95132
--- /dev/null
@@ -0,0 +1,392 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 37 631 288 803
+%%Title: view
+%%CreationDate: Mon Jun 14 15:20:53 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 86 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifpatdict 10 dict def
+
+/tgifpatbyte
+ { currentdict /retstr get exch
+   pat i cellsz mod get put
+ } def
+
+/tgifpatproc
+ { 0 1 widthlim {tgifpatbyte} for retstr
+   /i i 1 add def
+ } def
+
+/TGPF % tgifpatfill
+ { tgifpatdict begin
+      /h exch def
+      /w exch def
+      /lty exch def
+      /ltx exch def
+      /cellsz exch def
+      /pat exch def
+
+      /widthlim w cellsz div cvi 1 sub def
+      /retstr widthlim 1 add string def
+      /i 0 def
+
+      tgiforigctm setmatrix
+      ltx lty translate
+      w h true [1 0 0 1 0 0] {tgifpatproc} imagemask
+      ltx neg lty neg translate
+   end
+ } def
+
+/pat3 <8000000008000000> def
+/pat4 <8800000022000000> def
+/pat5 <8800220088002200> def
+/pat6 <8822882288228822> def
+/pat7 <aa55aa55aa55aa55> def
+/pat8 <77dd77dd77dd77dd> def
+/pat9 <77ffddff77ffddff> def
+/pat10 <77ffffff77ffffff> def
+/pat11 <7fffffff7fffffff> def
+/pat12 <8040200002040800> def
+/pat13 <40a00000040a0000> def
+/pat14 <ff888888ff888888> def
+/pat15 <ff808080ff080808> def
+/pat16 <f87422478f172271> def
+/pat17 <038448300c020101> def
+/pat18 <081c22c180010204> def
+/pat19 <8080413e080814e3> def
+/pat20 <8040201008040201> def
+/pat21 <8844221188442211> def
+/pat22 <77bbddee77bbddee> def
+/pat23 <c1e070381c0e0783> def
+/pat24 <7fbfdfeff7fbfdfe> def
+/pat25 <3e1f8fc7e3f1f87c> def
+/pat26 <0102040810204080> def
+/pat27 <1122448811224488> def
+/pat28 <eeddbb77eeddbb77> def
+/pat29 <83070e1c3870e0c1> def
+/pat30 <fefdfbf7efdfbf7f> def
+/pat31 <7cf8f1e3c78f1f3e> def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 37 631 288 803
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      275 60 M
+      510 60 L
+      510 350 L
+      340 325 L
+      250 265 L
+      250 170 L
+      275 60 L
+   CP 1 SG EF
+   0 SG
+   NP
+      275 60 M
+      510 60 L
+      510 350 L
+      340 325 L
+      250 265 L
+      250 170 L
+      275 60 L
+   CP EC NP
+   pat4 8 248 56 264 296 TGPF
+GR
+GS
+   NP
+      275 60 M
+      510 60 L
+      510 350 L
+      340 325 L
+      250 265 L
+      250 170 L
+      275 60 L
+   TGSM
+   1 W
+   S
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 70 60 M 510 60 L 510 360 L 70 360 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      250 170 M
+      340 230 L
+      340 325 L
+      250 265 L
+      250 170 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 220 300 5 5 TGEL F
+GS
+   GS
+      NP 220 300 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      220 300 M
+      250 170 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      220 305 M
+      340 230 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      220 300 M
+      340 325 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      220 300 M
+      250 265 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      340 230 M
+      510 135 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      340 325 M
+      510 350 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      250 170 M
+      275 60 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
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diff --git a/latex/M2/siryou/3/jlisting.sty b/latex/M2/siryou/3/jlisting.sty
new file mode 100644 (file)
index 0000000..9204165
--- /dev/null
@@ -0,0 +1,216 @@
+\NeedsTeXFormat{LaTeX2e}
+\def\filedate{2006/02/20}
+\def\fileversion{0.2}
+\ProvidesPackage{jlisting}[\filedate\space\fileversion\space(Thor)]
+%
+\newcount\lst@nextchar
+\let\lst@@ProcessSpace\lst@ProcessSpace
+\def\lst@ProcessSpace#1{%
+   \lst@check@chartype{#1}%
+      \lst@@ProcessSpace
+      \lst@whitespacetrue}
+\let\lst@@ProcessLetter\lst@ProcessLetter
+\def\lst@ProcessLetter#1#2{%
+   \lst@check@chartype{#2}%
+      {\lst@@ProcessLetter{#1}}%
+      \relax}
+\let\lst@@ProcessDigit\lst@ProcessDigit
+\def\lst@ProcessDigit#1#2{%
+   \lst@check@chartype{#2}%
+      {\lst@@ProcessDigit{#1}}%
+      \relax}
+\let\lst@@ProcessOther\lst@ProcessOther
+\def\lst@ProcessOther#1#2{%
+   \lst@check@chartype{#2}%
+      {\lst@@ProcessOther{#1}}%
+      \relax}
+\let\lst@@ProcessTabulator\lst@ProcessTabulator
+\def\lst@ProcessTabulator#1{%
+   \lst@check@chartype{#1}%
+      \lst@@ProcessTabulator
+      \relax}
+\def\lst@check@chartype#1#2#3{%
+   \edef\@tempa{\lst@nextchar=`\string#1\relax}%
+   \afterassignment\remove@to@nnil
+   \@tempa\@nnil
+   #2%
+   \ifnum\lst@nextchar<\@cclvi
+      #3%
+   \else
+      \lst@ifletter \else \lst@OutputOther \fi
+      \lst@whitespacefalse
+      \expandafter\lst@AppendJchar
+   \fi
+   #1}
+\def\lst@AppendJchar#1#2{%
+   \lst@check@chartype{#2}%
+      {\advance\lst@length\@ne\lst@Append{#1}}%
+      \relax}
+\def\lst@check@chartype@BOL#1{%
+   \edef\@tempa{\lst@nextchar=`\string#1\relax}%
+   \afterassignment\remove@to@nnil
+   \@tempa\@nnil
+   \ifnum\lst@nextchar<\@cclvi\else
+      \lst@whitespacefalse
+      \expandafter\lst@AppendJchar
+   \fi
+   #1}
+\def\lst@InputListing#1{%
+   \begingroup
+      \lsthk@PreSet \gdef\lst@intname{#1}%
+      \expandafter\lstset\expandafter{\lst@set}%
+      \lsthk@DisplayStyle
+      \catcode\active=\active
+      \lst@Init\relax \let\lst@gobble\z@
+      \lst@SkipToFirst
+      \lst@ifprint \def\lst@next{\lst@get@filecontents{#1}}%
+      \else        \let\lst@next\@empty
+      \fi
+      \lst@next
+      \lst@DeInit
+   \endgroup}
+\newread\lst@inputfile
+\def\lst@get@filecontents#1{%
+   \let\lst@filecontents\@empty
+   \openin\lst@inputfile=#1\relax
+   \let\@lst@get@filecontents@prevline\relax
+   \lst@get@filecontents@loop
+   \closein\lst@inputfile
+   \lst@filecontents\empty}
+\def\lst@get@filecontents@loop{%
+   \read\lst@inputfile to\@lst@get@filecontents@currline
+   \ifx\@lst@get@filecontents@prevline\relax\else
+      \expandafter\expandafter\expandafter\def
+      \expandafter\expandafter\expandafter\lst@filecontents
+      \expandafter\expandafter\expandafter{%
+         \expandafter\lst@filecontents\@lst@get@filecontents@prevline}%
+   \fi
+   \let\@lst@get@filecontents@prevline\@lst@get@filecontents@currline
+   \ifeof\lst@inputfile\else
+      \expandafter\lst@get@filecontents@loop
+   \fi}
+%%% [\e$B$3$N=hM}$b!$AjEv6/0z$G$9!%\e(B]
+\def\lst@BOLGobble{%
+   \ifnum\lst@gobble>\z@
+      \@tempcnta\lst@gobble\relax
+      \expandafter\lst@BOLGobble@
+   \else
+      \expandafter\lst@check@chartype@BOL
+   \fi}
+\def\lst@BOLGobble@#1{%
+   \let\lst@next#1%
+   \ifx \lst@next\relax\else
+   \ifx \lst@next\lst@MProcessListing\else
+   \ifx \lst@next\lst@ProcessFormFeed\else
+   \ifx \lst@next\lstenv@backslash
+      \let\lst@next\lstenv@BOLGobble@@
+   \else
+      \let\lst@next\lst@BOLGobble@@
+      \ifx #1\lst@ProcessTabulator
+         \advance\@tempcnta-\lst@tabsize\relax
+         \ifnum\@tempcnta<\z@
+            \lst@length-\@tempcnta \lst@PreGotoTabStop
+         \fi
+      \else
+         \edef\@tempa{\lst@nextchar=`\string#1\relax}%
+         \@tempa
+         \ifnum\lst@nextchar<\@cclvi\else
+            \advance\@tempcnta\m@ne
+         \fi
+         \advance\@tempcnta\m@ne
+      \fi
+   \fi \fi \fi \fi
+   \lst@next}
+\def\lst@BOLGobble@@{%
+   \ifnum\@tempcnta>\z@
+      \expandafter\lst@BOLGobble@
+   \else
+      \expandafter\lst@check@chartype@BOL
+   \fi
+}
+%
+%    \begin{\e$B=$@5;v9`\e(B}{1.3}
+% \e$B$A$g$C$H$7$?=$@5\e(B
+\gdef\lst@breakProcessOther#1{\lst@ProcessOther#1}
+% \e$B%=!<%9%3!<%IL\<!$K$*$1$kJ8;z$HHV9f$N6u$-\e(B
+\let \l@lstlisting = \l@figure
+% \e$B%-%c%W%7%g%s$H%=!<%9%3!<%IL\<!$KBP$9$kF|K\8lBP1~\e(B
+\def\lstlistingname{\e$B%=!<%9%3!<%I\e(B}
+\def\lstlistlistingname{\e$B%=!<%9%3!<%IL\<!\e(B}
+%    \end{\e$B=$@5;v9`\e(B}
+\endinput
+% 
+%#!platex
+\documentclass[papersize]{jsarticle}
+% Macros
+\IfFileExists{dvipdfmx.def}{%
+  \usepackage[dvipdfmx]{color,graphicx}%
+}{%
+  \usepackage[dvipdfm]{color,graphicx}%
+}
+\usepackage{listings}[2004/09/07]
+\usepackage{jlisting}[2006/02/20]
+\usepackage{url} 
+\usepackage{verbatim}
+
+\makeatletter
+% Original Macros
+\def\email#1{\gdef\@email{\texttt{#1}}}
+\def\homepage#1{\gdef\@homepage{\texttt{#1}}}
+\def\mac#1{\textsf{#1}}
+\def\URL#1{\texttt{#1}}
+\def\src#1{\texttt{#1}}
+
+% Dvipdfmx.def 
+\def\dvipdfmxDefi{http://tex.dante.jp/ok/dvipdfmx/}
+\def\dvipdfmxDefii{http://ftp.ktug.or.kr/KTUG/dvipdfmx/contrib/latex/}
+
+\IfFileExists{dvipdfmx.def}{%
+   \let \IfDvipdfmxDef = \empty \relax}{%
+   \typeout{^^Jget dvipdfmx.def at \dvipdfmxDefi^^J
+            or \dvipdfmxDefii^^J}%
+   \def\IfDvipdfmxDef{Get \src{dvipdfmx.def} at \URL \dvipdfmxDefii \\ 
+      or \URL \dvipdfmxDefi.}%
+}
+
+% Author Info
+\author   {Th\'or Watanabe\thanks \@email \space \thanks \@homepage}
+\title    {\mac{jlisting.sty}\\
+          ---Japanese Localized Patch File of \mac{listings}---}
+\email    {thor@tex.dante.jp}
+\homepage {http://tex.dante.jp/typo/}
+\date     {2006/02/20}
+
+\makeatother
+
+\begin{document}
+\maketitle
+%\IfDvipdfmxDef
+
+\section{\e$B$A$g$C$H$7$?@bL@\e(B}% Short Description
+\e$B1|B<@2I';a$N7G<(HD$N!VHFMQE*$JIbF0BN!W$H$$$&0lO"$N=q$-9~$_$+$i\e(B
+\e$BE>:\$7$^$7$?!#\e(B
+
+\begin{quote}
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21172.html}\\
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21184.html}\\
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21189.html}\\
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21197.html}
+\end{quote}
+
+ Copyright \e$B$O5H1JE/H~;a$K$"$k$N$@$H;W$$$^$9!%\e(B
+\section{\e$B99?7MzNr\e(B}% ChageLogs
+
+\begin{description}
+ \item[ver.~0.1 (2004/03/24)]
+   \e$B$H$j$"$($:8x3+!%\e(B
+ \item[ver.~0.2 (2006/02/20)] 
+   \verb|\lst@breakProcessOther| \e$BL?Na$NDj5A$NDI2C!%\e(B
+\end{description}
+
+\section{\e$B%=!<%9%3!<%I\e(B}
+\par\narrowbaselines
+\verbatiminput{jlisting.sty}
+\end{document}
diff --git a/latex/M2/siryou/3/main.aux b/latex/M2/siryou/3/main.aux
new file mode 100644 (file)
index 0000000..f7752da
--- /dev/null
@@ -0,0 +1,27 @@
+\relax 
+\bibstyle{ieice}
+\@writefile{toc}{\contentsline {chapter}{\numberline {Âè1¾Ï}¼êË¡}{1}}
+\@writefile{lof}{\addvspace {10\p@ }}
+\@writefile{lot}{\addvspace {10\p@ }}
+\@writefile{toc}{\contentsline {section}{\numberline {1.1}Á´¼þ²èÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹}{1}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Á´¼þ²èÁü¤ÎÇÛÃÖ1}}{1}}
+\newlabel{fig_env1}{{1.1}{1}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Á´¼þ²èÁü¤ÎÇÛÃÖ2}}{1}}
+\newlabel{fig_env2}{{1.2}{1}}
+\@writefile{toc}{\contentsline {subsubsection}{¥³¥ó¥Æ¥ó¥Ä²½ÈÏ°Ï}{1}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces Á´¼þ²èÁü¤ÎÅê±ÆÎΰè}}{2}}
+\newlabel{fig_content}{{1.3}{2}}
+\@writefile{toc}{\contentsline {subsubsection}{¥³¥ó¥Æ¥ó¥Ä²½ÈÏ°Ï}{2}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.1}¥«¥á¥éÅê±ÆÌ̤ηèÄê}{2}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.4}{\ignorespaces ¥¹¥¯¥ê¡¼¥óÁü¤ÈÅê±ÆÌÌ}}{2}}
+\newlabel{fig_vscreen}{{1.4}{2}}
+\@writefile{toc}{\contentsline {subsubsection}{¾ÇÅÀµ÷Î¥}{3}}
+\@writefile{toc}{\contentsline {subsubsection}{Éý¤È¹â¤µ}{3}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.2}Á´¼þ²èÁü¤«¤é¥«¥á¥é¤ÎÅê±ÆÁü¤Ø¤ÎÊÑ´¹}{3}}
+\@writefile{toc}{\contentsline {subsubsection}{$\theta $¤Î·×»»}{3}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.5}{\ignorespaces $\theta $¤Î·×»»}}{3}}
+\newlabel{fig_theta}{{1.5}{3}}
+\@writefile{toc}{\contentsline {subsubsection}{$y$¤Î·×»»}{4}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.6}{\ignorespaces $y$¤Î·×»»}}{4}}
+\newlabel{fig_y}{{1.6}{4}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.3}¥«¥á¥é¤ÎÅê±ÆÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹}{4}}
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new file mode 100644 (file)
index 0000000..3e347e5
Binary files /dev/null and b/latex/M2/siryou/3/main.dvi differ
diff --git a/latex/M2/siryou/3/main.log b/latex/M2/siryou/3/main.log
new file mode 100644 (file)
index 0000000..75390e4
--- /dev/null
@@ -0,0 +1,1124 @@
+This is pTeXk, Version 3.141592-p3.1.11 (euc) (Web2C 7.5.4) (format=platex 2010.7.21)  21 JUL 2010 12:40
+ %&-line parsing enabled.
+**main.tex
+(./main.tex
+pLaTeX2e <2006/11/10>+0 (based on LaTeX2e <2009/09/24> patch level 0)
+(/usr/share/texmf/ptex/platex/base/jreport.cls
+Document Class: jreport 2006/06/27 v1.6 Standard pLaTeX class
+\c@@paper=\count81
+(/usr/share/texmf/ptex/platex/base/jsize10.clo
+File: jsize10.clo 2006/06/27 v1.6 Standard pLaTeX file (size option)
+)
+\c@part=\count82
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+\c@section=\count84
+\c@subsection=\count85
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+\@lnumwidth=\dimen119
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+\heisei=\count91
+)
+\@input{settings.aux}
+\openout2 = `settings.aux'.
+
+(./settings.tex (/usr/share/texmf-texlive/tex/latex/graphics/graphicx.sty
+Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR)
+
+(/usr/share/texmf-texlive/tex/latex/graphics/keyval.sty
+Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
+\KV@toks@=\toks15
+)
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+)
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+File: graphics.cfg 2009/08/28 v1.8 graphics configuration of TeX Live
+)
+Package graphics Info: Driver file: dvips.def on input line 91.
+
+(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def
+File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
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+)
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+
+! LaTeX Error: File `mathvec.sty' not found.
+
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+or enter new name. (Default extension: sty)
+
+Enter file name: q
+
+! LaTeX Error: File `q.sty' not found.
+
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+Enter file name: q
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+
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+
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+
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+
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+
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+(/usr/share/texmf-texlive/tex/latex/listings/lstmisc.sty
+File: lstmisc.sty 2007/02/22 1.4 (Carsten Heinz)
+\c@lstnumber=\count120
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+\lst@framebox=\box70
+)
+(/usr/share/texmf-texlive/tex/latex/listings/listings.cfg
+File: listings.cfg 2007/02/22 1.4 listings configuration
+))
+Package: listings 2007/02/22 1.4 (Carsten Heinz)
+ (./jlisting.sty
+Package: jlisting 2006/02/20 0.2 (Thor)
+\lst@nextchar=\count122
+\lst@inputfile=\read1
+)
+(/usr/share/texmf-texlive/tex/latex/geometry/geometry.sty
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+
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+Package ifpdf Info: pdfTeX in pdf mode not detected.
+)
+(/usr/share/texmf-texlive/tex/generic/oberdiek/ifvtex.sty
+Package: ifvtex 2008/11/04 v1.4 Switches for detecting VTeX and its modes (HO)
+Package ifvtex Info: VTeX not detected.
+)
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+(/usr/share/texmf-texlive/tex/latex/listings/lstlang1.sty
+File: lstlang1.sty 2004/09/05 1.3 listings language file
+)
+(/usr/share/texmf-texlive/tex/latex/listings/lstlang1.sty
+File: lstlang1.sty 2004/09/05 1.3 listings language file
+)
+(/usr/share/texmf-texlive/tex/latex/listings/lstmisc.sty
+File: lstmisc.sty 2007/02/22 1.4 (Carsten Heinz)
+))
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+\@bcal=\count126
+\shaderule=\dimen153
+))
+
+LaTeX Warning: Unused global option(s):
+    [10.5pt].
+
+(./main.aux)
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+
+LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 10.
+LaTeX Font Info:    ... okay on input line 10.
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+LaTeX Font Info:    ... okay on input line 10.
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+LaTeX Font Info:    ... okay on input line 10.
+\c@lstlisting=\count127
+
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+*geometry detected driver: dvips*
+-------------------- Geometry parameters
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+landscape: --
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+
+(1in=72.27pt, 1cm=28.45pt)
+-----------------------
+Âè 1 ¾Ï
+LaTeX Font Info:    Font shape `JT1/mc/bx/n' in size <20.74> not available
+(Font)              Font shape `JT1/gt/m/n' tried instead on input line 20.
+LaTeX Font Info:    Font shape `JY1/mc/bx/n' in size <20.74> not available
+(Font)              Font shape `JY1/gt/m/n' tried instead on input line 20.
+LaTeX Font Info:    Font shape `JT1/mc/bx/n' in size <14.4> not available
+(Font)              Font shape `JT1/gt/m/n' tried instead on input line 22.
+LaTeX Font Info:    Font shape `JY1/mc/bx/n' in size <14.4> not available
+(Font)              Font shape `JY1/gt/m/n' tried instead on input line 22.
+File: image/fig1.eps Graphic file (type eps)
+<image/fig1.eps>
+Overfull \hbox (5.29085pt too wide) in paragraph at lines 43--44
+ [] 
+ []
+
+File: image/fig6.eps Graphic file (type eps)
+<image/fig6.eps>
+LaTeX Font Info:    Font shape `JT1/mc/bx/n' in size <10> not available
+(Font)              Font shape `JT1/gt/m/n' tried instead on input line 75.
+LaTeX Font Info:    Font shape `JY1/mc/bx/n' in size <10> not available
+(Font)              Font shape `JY1/gt/m/n' tried instead on input line 75.
+LaTeX Font Info:    Try loading font information for OMS+cmr on input line 87.
+ (/usr/share/texmf-texlive/tex/latex/base/omscmr.fd
+File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
+)
+LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <10> not available
+(Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 87.
+File: image/fig7.eps Graphic file (type eps)
+
+<image/fig7.eps> [1
+
+
+
+
+]
+LaTeX Font Info:    Font shape `JT1/mc/bx/n' in size <12> not available
+(Font)              Font shape `JT1/gt/m/n' tried instead on input line 110.
+LaTeX Font Info:    Font shape `JY1/mc/bx/n' in size <12> not available
+(Font)              Font shape `JY1/gt/m/n' tried instead on input line 110.
+File: image/fig3.eps Graphic file (type eps)
+ <image/fig3.eps>
+! Undefined control sequence.
+<recently read> \vs 
+                    
+l.127 ...\includegraphics[scale=1]{image/fig3.eps}
+                                                  
+? 
+! Undefined control sequence.
+<recently read> \vs 
+                    
+l.127 ...\includegraphics[scale=1]{image/fig3.eps}
+                                                  
+? q
+OK, entering \batchmode...
+! Undefined control sequence.
+<recently read> \vs 
+                    
+l.127 ...\includegraphics[scale=1]{image/fig3.eps}
+                                                  
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \mR 
+                    
+l.134 ...¤Î¥Á¥ë¥È²óž¤òɽ¤¹3¼¡¸µÆ±¼¡ºÂɸ¹ÔÎó¤ò$\mR
+                                                  _{\theta_x}$¡¤
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vt 
+                    
+l.135 $\vt
+           = (0, c_y, 0, 1)^\top$¤È¤¹¤ë¤È¡¤
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vp 
+                    
+l.136 Åê±ÆÌ̤ÎÃæ¿´ºÂɸ$\vp
+                          $¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+ [2]
+! Undefined control sequence.
+l.139 ^^I\vp
+             = \mR_{\theta_x} (0, 0, f, 1)^\top + \vt
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.139 ^^I\vp = \mR
+                  _{\theta_x} (0, 0, f, 1)^\top + \vt
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.139 ... = \mR_{\theta_x} (0, 0, f, 1)^\top + \vt
+                                                  
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vs 
+                    
+l.142 ¥¹¥¯¥ê¡¼¥ó¤ÎĺÅÀ$\vs
+                          _i$¤¬Åê±ÆÌ̾å¤Ë¤¢¤ì¤Ð¡¤$(\vp, \vp - \vx) = 0$¤òËþ...
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.142 ...¥ó¤ÎĺÅÀ$\vs_i$¤¬Åê±ÆÌ̾å¤Ë¤¢¤ì¤Ð¡¤$(\vp
+                                                 , \vp - \vx) = 0$¤òËþ¤¿¤¹¡¥
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.142 ...ĺÅÀ$\vs_i$¤¬Åê±ÆÌ̾å¤Ë¤¢¤ì¤Ð¡¤$(\vp, \vp
+                                                   - \vx) = 0$¤òËþ¤¿¤¹¡¥
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.142 ...vs_i$¤¬Åê±ÆÌ̾å¤Ë¤¢¤ì¤Ð¡¤$(\vp, \vp - \vx
+                                                  ) = 0$¤òËþ¤¿¤¹¡¥
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.147 ^^If' = {\rm min}\{ f | \forall \vs
+                                         _i, (\vp, \vp - \vs_i) = 0 \}
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.147 ^^If' = {\rm min}\{ f | \forall \vs_i, (\vp
+                                                 , \vp - \vs_i) = 0 \}
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.147 ... {\rm min}\{ f | \forall \vs_i, (\vp, \vp
+                                                   - \vs_i) = 0 \}
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.147 ...min}\{ f | \forall \vs_i, (\vp, \vp - \vs
+                                                  _i) = 0 \}
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vs 
+                    
+l.151 ¥¹¥¯¥ê¡¼¥ó¤ÎĺÅÀ$\vs
+                          _i$¤òÅê±ÆÌ̾å¤ËÅê±Æ¤·¤¿¤â¤Î¤ò$\vsp_i = (x'_i, y'_i...
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vsp 
+                     
+l.151 ...ÅÀ$\vs_i$¤òÅê±ÆÌ̾å¤ËÅê±Æ¤·¤¿¤â¤Î¤ò$\vsp
+                                                 _i = (x'_i, y'_i, 1)^\top$¤È¤¹
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \mP 
+                    
+l.152 ¤Þ¤¿¡¤$\mP
+                 = \mA  \mP_f
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.152 ¤Þ¤¿¡¤$\mP = \mA
+                        \mP_f
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.152 ¤Þ¤¿¡¤$\mP = \mA  \mP
+                           _f
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.154 \mRi
+          _{\theta_x} & -\vt \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.154 \mRi_{\theta_x} & -\vt
+                             \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.155  \vZERO
+                    & 1
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.158 \mP
+         _f =
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.164 \mA
+          =
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vsp 
+                     
+l.170 $¤È¤¹¤ë¤È¡¤$\vsp
+                      _i$¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.173 ^^I\vsp
+             _i = \mP \vs_i \
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.173 ^^I\vsp_i = \mP
+                      \vs_i \
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.173 ^^I\vsp_i = \mP \vs
+                         _i \
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+File: image/fig2.eps Graphic file (type eps)
+ <image/fig2.eps>
+! Undefined control sequence.
+<recently read> \mPi 
+                     
+l.190 ...\includegraphics[scale=1]{image/fig2.eps}
+                                                  
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<argument> \mPi 
+                x'
+l.200 ... \left( {\rm tan}^{-1} \frac{\mPi x'}{f'}
+                                                   + \theta_{ {\rm offset}} ...
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+ [3]
+File: image/fig4.eps Graphic file (type eps)
+ <image/fig4.eps>
+! Undefined control sequence.
+<recently read> \mPi 
+                     
+l.222 ...\includegraphics[scale=1]{image/fig4.eps}
+                                                  
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.229 ^^Iy &=& \mP
+                   r' \sin(\theta_\Delta + \theta_x) + c_y \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<argument> \mPi 
+                y^\prime - c_y
+l.231 ...\tan^{-1} \frac{\mPi y^\prime - c_y}{f' }
+                                                  
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vsp 
+                     
+l.237 $\vsp
+           _i$¤«¤éÂбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²èÁü¤ÎĺÅÀºÂɸ¡Ê$(0, 0, 1)^\top, (w'', 0...
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \mH 
+                    
+l.238 ¤Ø¤Î¼Í±ÆÊÑ´¹¹ÔÎó¤ò$\mH
+                            $¤È¤¹¤ì¤Ð¡¤¥«¥á¥é¤ÎÅê±ÆÌ̾å¤ÎºÂɸ$\vx''$¤ËÂбþ¤¹...
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vx 
+                    
+l.238 ...$\mH$¤È¤¹¤ì¤Ð¡¤¥«¥á¥é¤ÎÅê±ÆÌ̾å¤ÎºÂɸ$\vx
+                                                  ''$¤ËÂбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²è...
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \vx 
+                    
+l.238 ...vx''$¤ËÂбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²èÁü¾å¤ÎºÂɸ$\vx
+                                                  '$¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.241 ^^I\vx
+            ' = \mHi \vx''
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.241 ^^I\vx' = \mHi
+                     \vx''
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.241 ^^I\vx' = \mHi \vx
+                        ''
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+<recently read> \mH 
+                    
+l.244 ¤Þ¤¿¡¤$\mH
+                $¤Ï¸¶ÍýŪ¤Ë¤Ï¡¤
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.248 ^^I^^I\vZERO
+                   & -\vspt_1 & {y''}_1 \vspt_1  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.248 ^^I^^I\vZERO & -\vspt
+                           _1 & {y''}_1 \vspt_1  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.248 ^^I^^I\vZERO & -\vspt_1 & {y''}_1 \vspt
+                                             _1  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.248 ^^I^^I\vZERO & -\vspt_1 & {y''}_1 \vspt_
+                                              1  \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.249 ^^I^^I\vspt
+                 _1 & \vZERO & - {x''}_1 \vspt_1 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.249 ^^I^^I\vspt_1 & \vZERO
+                             & - {x''}_1 \vspt_1 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.249 ^^I^^I\vspt_1 & \vZERO & - {x''}_1 \vspt
+                                              _1 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.249 ^^I^^I\vspt_1 & \vZERO & - {x''}_1 \vspt_
+                                               1 \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.250 ^^I^^I\vZERO
+                   & -\vspt_2 & {y''}_2 \vspt_2  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.250 ^^I^^I\vZERO & -\vspt
+                           _2 & {y''}_2 \vspt_2  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.250 ^^I^^I\vZERO & -\vspt_2 & {y''}_2 \vspt
+                                             _2  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.250 ^^I^^I\vZERO & -\vspt_2 & {y''}_2 \vspt_
+                                              2  \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.251 ^^I^^I\vspt
+                 _2 & \vZERO & - {x''}_2 \vspt_2 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.251 ^^I^^I\vspt_2 & \vZERO
+                             & - {x''}_2 \vspt_2 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.251 ^^I^^I\vspt_2 & \vZERO & - {x''}_2 \vspt
+                                              _2 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.251 ^^I^^I\vspt_2 & \vZERO & - {x''}_2 \vspt_
+                                               2 \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.252 ^^I^^I\vZERO
+                   & -\vspt_3 & {y''}_3 \vspt_3  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.252 ^^I^^I\vZERO & -\vspt
+                           _3 & {y''}_3 \vspt_3  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.252 ^^I^^I\vZERO & -\vspt_3 & {y''}_3 \vspt
+                                             _3  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.252 ^^I^^I\vZERO & -\vspt_3 & {y''}_3 \vspt_
+                                              3  \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.253 ^^I^^I\vspt
+                 _3 & \vZERO & - {x''}_3 \vspt_3 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.253 ^^I^^I\vspt_3 & \vZERO
+                             & - {x''}_3 \vspt_3 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.253 ^^I^^I\vspt_3 & \vZERO & - {x''}_3 \vspt
+                                              _3 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.253 ^^I^^I\vspt_3 & \vZERO & - {x''}_3 \vspt_
+                                               3 \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.254 ^^I^^I\vZERO
+                   & -\vspt_4 & {y''}_4 \vspt_4  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.254 ^^I^^I\vZERO & -\vspt
+                           _4 & {y''}_4 \vspt_4  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.254 ^^I^^I\vZERO & -\vspt_4 & {y''}_4 \vspt
+                                             _4  \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.254 ^^I^^I\vZERO & -\vspt_4 & {y''}_4 \vspt_
+                                              4  \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.255 ^^I^^I\vspt
+                 _4 & \vZERO & - {x''}_4 \vspt_4 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.255 ^^I^^I\vspt_4 & \vZERO
+                             & - {x''}_4 \vspt_4 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Undefined control sequence.
+l.255 ^^I^^I\vspt_4 & \vZERO & - {x''}_4 \vspt
+                                              _4 \\
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+! Double subscript.
+l.255 ^^I^^I\vspt_4 & \vZERO & - {x''}_4 \vspt_
+                                               4 \\
+I treat `x_1_2' essentially like `x_1{}_2'.
+
+! Undefined control sequence.
+l.267 ^^I= \vZERO
+                 
+The control sequence at the end of the top line
+of your error message was never \def'ed. If you have
+misspelled it (e.g., `\hobx'), type `I' and the correct
+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+ [4] [5] (./main.aux) ) 
+Here is how much of TeX's memory you used:
+ 3471 strings out of 257674
+ 45563 string characters out of 1191153
+ 143587 words of memory out of 3000000
+ 6586 multiletter control sequences out of 10000+50000
+ 14486 words of font info for 57 fonts, out of 2000000 for 2000
+ 14 hyphenation exceptions out of 8191
+ 37i,13n,60p,238b,526s stack positions out of 5000i,500n,6000p,200000b,40000s
+
+Output written on main.dvi (5 pages, 16056 bytes).
diff --git a/latex/M2/siryou/3/main.ps b/latex/M2/siryou/3/main.ps
new file mode 100644 (file)
index 0000000..68ed6e7
--- /dev/null
@@ -0,0 +1,7785 @@
+%!PS-Adobe-2.0
+%%Creator: pdvips(k) p1.7b Copyright 2010 ASCII MEDIA WORKS. (ptex-staff@ml.asciimw.jp)
+%%+ based on dvips(k) 5.98dev Copyright 2010 Radical Eye Software (www.radicaleye.com)
+%%Title: main.dvi
+%%CreationDate: Mon Jul  5 16:14:44 2010
+%%Pages: 5
+%%PageOrder: Ascend
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+%%DocumentPaperSizes: a4
+%%EndComments
+%DVIPSWebPage: (www.radicaleye.com)
+%DVIPSCommandLine: dvips main.dvi
+%DVIPSParameters: dpi=600
+%DVIPSSource:  TeX output 2010.07.05:1614
+%%BeginProcSet: tex.pro 0 0
+%!
+/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
+N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
+mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
+0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
+landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
+mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
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+/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
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+df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
+definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
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+/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
+setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
+restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
+/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
+}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
+bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
+mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
+SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
+userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
+1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
+index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
+/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3
+def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90
+rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0
+N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop
+false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A
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+{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch
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+/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}
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+0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
+
+%%EndProcSet
+%%BeginProcSet: psfrag.pro 0 0
+%%
+%% This is file `psfrag.pro',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% psfrag.dtx  (with options: `filepro')
+%% 
+%% Copyright (c) 1996 Craig Barratt, Michael C. Grant, and David Carlisle.
+%% All rights reserved.
+%% 
+%% This file is part of the PSfrag package.
+%% 
+userdict begin
+/PSfragLib 90 dict def
+/PSfragDict 6 dict def
+/PSfrag { PSfragLib begin load exec end } bind def
+end
+PSfragLib begin
+/RO /readonly      load def
+/CP /currentpoint  load def
+/CM /currentmatrix load def
+/B { bind RO def } bind def
+/X { exch def } B
+/MD { { X } forall } B
+/OE { end exec PSfragLib begin } B
+/S false def
+/tstr 8 string def
+/islev2 { languagelevel } stopped { false } { 2 ge } ifelse def
+[ /sM /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall
+sM currentmatrix RO pop
+dM defaultmatrix RO idM invertmatrix RO pop
+srcFM identmatrix pop
+/Hide { gsave { CP } stopped not newpath clip { moveto } if } B
+/Unhide { { CP } stopped not grestore { moveto } if } B
+/setrepl islev2 {{ /glob currentglobal def true setglobal array astore
+                   globaldict exch /PSfrags exch put glob setglobal }}
+                {{ array astore /PSfrags X }} ifelse B
+/getrepl islev2 {{ globaldict /PSfrags get aload length }}
+                {{ PSfrags aload length }} ifelse B
+/convert {
+   /src X src length string
+   /c 0 def src length {
+      dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def
+   } repeat
+} B
+/Begin {
+    /saver save def
+    srcFM exch 3 exch put
+    0 ne /debugMode X 0 setrepl
+    dup /S exch dict def { S 3 1 roll exch convert exch put } repeat
+    srcM CM dup invertmatrix pop
+    mark { currentdict { end } stopped { pop exit } if } loop
+    PSfragDict counttomark { begin } repeat pop
+} B
+/End {
+    mark { currentdict end dup PSfragDict eq { pop exit } if } loop
+    counttomark { begin } repeat pop
+    getrepl saver restore
+    7 idiv dup /S exch dict def {
+        6 array astore /mtrx X tstr cvs /K X
+        S K [ S K known { S K get aload pop } if mtrx ] put
+    } repeat
+} B
+/Place {
+    tstr cvs /K X
+    S K known {
+        bind /proc X tM CM pop
+        CP /cY X /cX X
+        0 0 transform idtransform neg /aY X neg /aX X
+        S K get dup length /maxiter X
+        /iter 1 def {
+            iter maxiter ne { /saver save def } if
+            tM setmatrix aX aY translate
+            [ exch aload pop idtransform ] concat
+            cX neg cY neg translate cX cY moveto
+            /proc load OE
+            iter maxiter ne { saver restore /iter iter 1 add def } if
+        } forall
+        /noXY { CP /cY X /cX X } stopped def
+        tM setmatrix noXY { newpath } { cX cY moveto } ifelse
+    } {
+        Hide OE Unhide
+    } ifelse
+} B
+/normalize {
+    2 index dup mul 2 index dup mul add sqrt div
+    dup 4 -1 roll exch mul 3 1 roll mul
+} B
+/replace {
+    aload pop MD
+    CP /bY X /lX X gsave sM setmatrix
+    str stringwidth abs exch abs add dup 0 eq
+        { pop } { 360 exch div dup scale } ifelse
+    lX neg bY neg translate newpath lX bY moveto
+    str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall
+    flattenpath pathbbox [ /uY /uX /lY /lX ] MD
+    CP grestore moveto
+    currentfont /FontMatrix get dstFM copy dup
+    0 get 0 lt { uX lX /uX X /lX X } if
+    3 get 0 lt { uY lY /uY X /lY X } if
+    /cX uX lX add 0.5 mul def
+    /cY uY lY add 0.5 mul def
+    debugMode { gsave 0 setgray 1 setlinewidth
+        lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath
+        lX bY moveto uX bY lineto lX cY moveto uX cY lineto
+        cX lY moveto cX uY lineto stroke
+    grestore } if
+    dstFM dup invertmatrix dstM CM srcM
+    2 { dstM concatmatrix } repeat pop
+    getrepl /temp X
+        S str convert get {
+            aload pop [ /rot /scl /loc /K ] MD
+            /aX cX def /aY cY def
+            loc {
+                dup 66  eq { /aY bY def } { % B
+                dup 98  eq { /aY lY def } { % b
+                dup 108 eq { /aX lX def } { % l
+                dup 114 eq { /aX uX def } { % r
+                dup 116 eq { /aY uY def }   % t
+                if } ifelse } ifelse } ifelse } ifelse pop
+            } forall
+            K srcFM rot tM rotate dstM
+            2 { tM concatmatrix } repeat aload pop pop pop
+            2 { scl normalize 4 2 roll } repeat
+            aX aY transform
+            /temp temp 7 add def
+        } forall
+    temp setrepl
+} B
+/Rif {
+    S 3 index convert known { pop replace } { exch pop OE } ifelse
+} B
+/XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B
+/xs   { pop } XA XC
+/xks  { /kern load OE } XA /kern XC
+/xas  { pop ax ay rmoveto } XA /ay /ax XC
+/xws  { c eq { cx cy rmoveto } if } XA /c /cy /cx XC
+/xaws { ax ay rmoveto c eq { cx cy rmoveto } if }
+    XA /ay /ax /c /cy /cx XC
+/raws { xaws { awidthshow } Rif } B
+/rws  { xws { widthshow } Rif } B
+/rks  { xks { kshow } Rif } B
+/ras  { xas { ashow } Rif } B
+/rs   { xs { show } Rif } B
+/rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B
+PSfragDict begin
+islev2 not { /restore { /rrs PSfrag } B } if
+/show       { /rs   PSfrag } B
+/kshow      { /rks  PSfrag } B
+/ashow      { /ras  PSfrag } B
+/widthshow  { /rws  PSfrag } B
+/awidthshow { /raws PSfrag } B
+end PSfragDict RO pop
+end
+
+%%EndProcSet
+%%BeginProcSet: 8r.enc 0 0
+% File 8r.enc  TeX Base 1 Encoding  Revision 2.0  2002-10-30
+%
+% @@psencodingfile@{
+%   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
+%                W. Schmidt, P. Lehman",
+%   version   = "2.0",
+%   date      = "27nov06",
+%   filename  = "8r.enc",
+%   email     = "tex-fonts@@tug.org",
+%   docstring = "This is the encoding vector for Type1 and TrueType
+%                fonts to be used with TeX.  This file is part of the
+%                PSNFSS bundle, version 9"
+% @}
+% 
+% The idea is to have all the characters normally included in Type 1 fonts
+% available for typesetting. This is effectively the characters in Adobe
+% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
+% MacRoman, and some extra characters from Lucida.
+% 
+% Character code assignments were made as follows:
+% 
+% (1) the Windows ANSI characters are almost all in their Windows ANSI
+% positions, because some Windows users cannot easily reencode the
+% fonts, and it makes no difference on other systems. The only Windows
+% ANSI characters not available are those that make no sense for
+% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
+% (173). quotesingle and grave are moved just because it's such an
+% irritation not having them in TeX positions.
+% 
+% (2) Remaining characters are assigned arbitrarily to the lower part
+% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
+% 
+% (3) Y&Y Lucida Bright includes some extra text characters; in the
+% hopes that other PostScript fonts, perhaps created for public
+% consumption, will include them, they are included starting at 0x12.
+% These are /dotlessj /ff /ffi /ffl.
+% 
+% (4) hyphen appears twice for compatibility with both ASCII and Windows.
+%
+% (5) /Euro was assigned to 128, as in Windows ANSI
+%
+% (6) Missing characters from MacRoman encoding incorporated as follows:
+%
+%     PostScript      MacRoman        TeXBase1
+%     --------------  --------------  --------------
+%     /notequal       173             0x16
+%     /infinity       176             0x17
+%     /lessequal      178             0x18
+%     /greaterequal   179             0x19
+%     /partialdiff    182             0x1A
+%     /summation      183             0x1B
+%     /product        184             0x1C
+%     /pi             185             0x1D
+%     /integral       186             0x81
+%     /Omega          189             0x8D
+%     /radical        195             0x8E
+%     /approxequal    197             0x8F
+%     /Delta          198             0x9D
+%     /lozenge        215             0x9E
+%
+/TeXBase1Encoding [
+% 0x00
+ /.notdef /dotaccent /fi /fl
+ /fraction /hungarumlaut /Lslash /lslash
+ /ogonek /ring /.notdef /breve
+ /minus /.notdef /Zcaron /zcaron
+% 0x10
+ /caron /dotlessi /dotlessj /ff
+ /ffi /ffl /notequal /infinity
+ /lessequal /greaterequal /partialdiff /summation
+ /product /pi /grave /quotesingle
+% 0x20
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMEX10
+%!PS-AdobeFont-1.0: CMEX10 003.002
+%%Title: CMEX10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMEX10.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMEX10 known{/CMEX10 findfont dup/UniqueID known{dup
+/UniqueID get 5092766 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMEX10 def
+/FontBBox {-24 -2960 1454 772 }readonly def
+/UniqueID 5092766 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMEX10.) readonly def
+/FullName (CMEX10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle 0 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 18 /parenleftbigg put
+dup 19 /parenrightbigg put
+dup 32 /parenleftBigg put
+dup 33 /parenrightBigg put
+dup 48 /parenlefttp put
+dup 49 /parenrighttp put
+dup 64 /parenleftbt put
+dup 65 /parenrightbt put
+dup 66 /parenleftex put
+dup 67 /parenrightex put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMBXTI10
+%!PS-AdobeFont-1.0: CMBXTI10 003.002
+%%Title: CMBXTI10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBXTI10.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMBXTI10 known{/CMBXTI10 findfont dup/UniqueID known{dup
+/UniqueID get 5000771 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMBXTI10 def
+/FontBBox {-29 -250 1274 754 }readonly def
+/UniqueID 5000771 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBXTI10.) readonly def
+/FullName (CMBXTI10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Bold) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 65 /A put
+dup 72 /H put
+dup 80 /P put
+dup 82 /R put
+dup 112 /p put
+dup 115 /s put
+dup 116 /t put
+dup 120 /x put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMR7
+%!PS-AdobeFont-1.0: CMR7 003.002
+%%Title: CMR7
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR7.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup
+/UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMR7 def
+/FontBBox {-27 -250 1122 750 }readonly def
+/UniqueID 5000790 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR7.) readonly def
+/FullName (CMR7) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle 0 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 1 /Delta put
+dup 11 /ff put
+dup 49 /one put
+dup 50 /two put
+dup 51 /three put
+dup 52 /four put
+dup 101 /e put
+dup 111 /o put
+dup 115 /s put
+dup 116 /t put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMMI5
+%!PS-AdobeFont-1.0: CMMI5 003.002
+%%Title: CMMI5
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI5.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMMI5 known{/CMMI5 findfont dup/UniqueID known{dup
+/UniqueID get 5087380 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMMI5 def
+/FontBBox {37 -250 1349 750 }readonly def
+/UniqueID 5087380 def
+/PaintType 0 def
+/FontInfo 10 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI5.) readonly def
+/FullName (CMMI5) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+/ascent 750 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 101 /e put
+dup 102 /f put
+dup 111 /o put
+dup 115 /s put
+dup 116 /t put
+dup 120 /x put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMSY10
+%!PS-AdobeFont-1.0: CMSY10 003.002
+%%Title: CMSY10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSY10.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMSY10 known{/CMSY10 findfont dup/UniqueID known{dup
+/UniqueID get 5096651 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMSY10 def
+/FontBBox {-29 -960 1116 775 }readonly def
+/UniqueID 5096651 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSY10.) readonly def
+/FullName (CMSY10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /minus put
+dup 15 /bullet put
+dup 56 /universal put
+dup 102 /braceleft put
+dup 103 /braceright put
+dup 106 /bar put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMBX12
+%!PS-AdobeFont-1.0: CMBX12 003.002
+%%Title: CMBX12
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX12.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
+/UniqueID get 5000769 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMBX12 def
+/FontBBox {-53 -251 1139 750 }readonly def
+/UniqueID 5000769 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX12.) readonly def
+/FullName (CMBX12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Bold) readonly def
+/ItalicAngle 0 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 46 /period put
+dup 49 /one put
+dup 50 /two put
+dup 51 /three put
+dup 52 /four put
+readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont 
+%%BeginFont: CMMI7
+%!PS-AdobeFont-1.0: CMMI7 003.002
+%%Title: CMMI7
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI7.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMMI7 known{/CMMI7 findfont dup/UniqueID known{dup
+/UniqueID get 5087382 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMMI7 def
+/FontBBox {-1 -250 1171 750 }readonly def
+/UniqueID 5087382 def
+/PaintType 0 def
+/FontInfo 10 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI7.) readonly def
+/FullName (CMMI7) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+/ascent 750 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 18 /theta put
+dup 25 /pi put
+dup 101 /e put
+dup 102 /f put
+dup 105 /i put
+dup 111 /o put
+dup 115 /s put
+dup 116 /t put
+dup 120 /x put
+dup 121 /y put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMMI10
+%!PS-AdobeFont-1.0: CMMI10 003.002
+%%Title: CMMI10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI10.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMMI10 known{/CMMI10 findfont dup/UniqueID known{dup
+/UniqueID get 5087385 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMMI10 def
+/FontBBox {-32 -250 1048 750 }readonly def
+/UniqueID 5087385 def
+/PaintType 0 def
+/FontInfo 10 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMMI10.) readonly def
+/FullName (CMMI10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+/ascent 750 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 18 /theta put
+dup 59 /comma put
+dup 61 /slash put
+dup 72 /H put
+dup 79 /O put
+dup 99 /c put
+dup 102 /f put
+dup 104 /h put
+dup 112 /p put
+dup 114 /r put
+dup 119 /w put
+dup 120 /x put
+dup 121 /y put
+dup 122 /z put
+readonly def
+currentdict end
+currentfile eexec
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+cleartomark
+{restore}if
+%%EndFont 
+%%BeginFont: CMSY7
+%!PS-AdobeFont-1.0: CMSY7 003.002
+%%Title: CMSY7
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSY7.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMSY7 known{/CMSY7 findfont dup/UniqueID known{dup
+/UniqueID get 5096648 eq exch/FontType get 1 eq and}{pop false}ifelse
+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMSY7 def
+/FontBBox {-15 -951 1251 782 }readonly def
+/UniqueID 5096648 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSY7.) readonly def
+/FullName (CMSY7) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -14.04 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 0 /minus put
+dup 14 /openbullet put
+dup 48 /prime put
+dup 62 /latticetop put
+readonly def
+currentdict end
+currentfile eexec
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+%%EndFont 
+%%BeginFont: CMR10
+%!PS-AdobeFont-1.0: CMR10 003.002
+%%Title: CMR10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
+% This Font Software is licensed under the SIL Open Font License, Version 1.1.
+% This license is in the accompanying file OFL.txt, and is also
+% available with a FAQ at: http://scripts.sil.org/OFL.
+%%EndComments
+FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup
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+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMR10 def
+/FontBBox {-40 -250 1009 750 }readonly def
+/UniqueID 5000793 def
+/PaintType 0 def
+/FontInfo 9 dict dup begin
+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR10.) readonly def
+/FullName (CMR10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle 0 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 40 /parenleft put
+dup 41 /parenright put
+dup 43 /plus put
+dup 46 /period put
+dup 48 /zero put
+dup 49 /one put
+dup 50 /two put
+dup 51 /three put
+dup 52 /four put
+dup 53 /five put
+dup 54 /six put
+dup 55 /seven put
+dup 56 /eight put
+dup 57 /nine put
+dup 58 /colon put
+dup 61 /equal put
+dup 68 /D put
+dup 79 /O put
+dup 80 /P put
+dup 83 /S put
+dup 84 /T put
+dup 89 /Y put
+dup 90 /Z put
+dup 97 /a put
+dup 99 /c put
+dup 101 /e put
+dup 102 /f put
+dup 103 /g put
+dup 105 /i put
+dup 108 /l put
+dup 109 /m put
+dup 110 /n put
+dup 111 /o put
+dup 112 /p put
+dup 114 /r put
+dup 115 /s put
+dup 116 /t put
+readonly def
+currentdict end
+currentfile eexec
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+1810 a<2435>p -24 1810 a<244e>p 56 1810 a<4a3f>p 136
+1810 a<4c4c>p 216 1810 a<3732>p 296 1810 a<2447>p 376
+1810 a<393d>p 456 1810 a<402e>p 536 1810 a<2435>p 616
+1810 a<246c>p 696 1810 a<2446>p 776 1810 a<2424>p 856
+1810 a<246c>p 936 1810 a<2450>p 1016 1810 a<2124>p 1094
+1810 a<4b5c>p 1174 1810 a<4061>p 1254 1810 a<2447>p 1334
+1810 a<3d52>p 1414 1810 a<2459>p 1494 1810 a<246b>p 1574
+1810 a<4a51>p 1654 1810 a<3439>p 1734 1810 a<3c30>p 1814
+1810 a<2472>p 1894 1810 a<452c>p 1974 1810 a<4d51>p 2054
+1810 a<2447>p 2134 1810 a<242d>p 2214 1810 a<246b>p 2294
+1810 a<2125>p -104 3328 a
+ /PSfrag where{pop(screen)[[0(Bl)1 0]](camera)[[1(Bl)1 0]](zensyu)[[2(Bl)1
+0]](y)[[3(Bl)1 0]](z)[[4(Bl)1 0]]5 0 -1/Begin PSfrag}{userdict /PSfrag{pop}put}ifelse
+ -104 3328 a -104 3328 a @beginspecial
+77 @llx 580 @lly 375 @urx 780 @ury 2384 @rwi @setspecial
+%%BeginDocument: image/fig1.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 77 580 375 780
+%%Title: fig1
+%%CreationDate: Sat Jun 26 14:26:55 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 77 580 375 780
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% OVAL
+0 SG
+GS
+   GS
+      NP 380 275 170 175 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      290 180 M
+      480 180 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      290 180 M
+      290 360 L
+      480 360 L
+      480 180 L
+   TGSM
+   1 W
+   S
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 370 260 M 390 260 L 390 290 L 370 290 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      380 260 M
+      390 250 L
+      370 250 L
+      380 260 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      380 270 M
+      0 190 atan DU cos 10.000 MU 570 exch SU
+      exch sin 10.000 MU 270 exch SU L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+GS
+   TGSM
+   NP
+      570 270 10.000 4.000 190 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      570 270 10.000 4.000 190 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      380 270 M
+      -150 0 atan DU cos 10.000 MU 380 exch SU
+      exch sin 10.000 MU 120 exch SU L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+GS
+   TGSM
+   NP
+      380 120 10.000 4.000 0 -150 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      380 120 10.000 4.000 0 -150 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      570 280 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (x) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      350 120 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (z) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      600 120 M
+      573.33 126.67 550.00 143.33
+      40 -30 atan DU cos 8.000 MU 530 exch SU
+      exch sin 8.000 MU 170 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      530 170 8.000 3.000 -30 40 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      530 170 8.000 3.000 -30 40 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      610 120 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      210 400 M
+      296.67 386.67 353.33 353.33
+      -80 40 atan DU cos 8.000 MU 380 exch SU
+      exch sin 8.000 MU 300 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      380 300 8.000 3.000 40 -80 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      380 300 8.000 3.000 40 -80 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      140 400 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (camera) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      180 170 M
+      233.33 176.67 266.67 190.00
+      30 20 atan DU cos 8.000 MU 280 exch SU
+      exch sin 8.000 MU 210 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      280 210 8.000 3.000 20 30 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      280 210 8.000 3.000 20 30 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      140 150 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (screen) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sat Jun 26 14:26:55 2010
+%%DocumentFonts: Courier
+%%EOF
+
+%%EndDocument
+ @endspecial -104 3328 a
+ /End PSfrag
+ -104 3328 a -104 2614 a
+ /Hide PSfrag
+ -104
+2614 a Fm -844 2672 a(PSfrag) 26 b(replacemen)n(ts)p
+-844 2702 741 4 v -104 2705 a
+ /Unhide PSfrag
+ -104 2705 a -503 2817 a
+  {
+
+-503 2817 a Fn -503 2817 a<2539>p -423 2817 a<252f>p -343
+2817 a<256a>p -263 2817 a<213c>p -183 2817 a<2573>p -503
+2817 a
+  } 0/Place PSfrag
+ -503 2817 a -344 2942 a
+  {
+ -344 2942 a Fn -344 2942
+a<252b>p -264 2942 a<2561>p -184 2942 a<2569>p -344 2942
+a
+  } 1/Place PSfrag
+ -344 2942 a -423 3066 a
+  {
+ -423 3066 a Fn -423 3066 a<4134>p -343
+3066 a<3c7e>p -263 3066 a<3268>p -183 3066 a<417c>p -423
+3066 a
+  } 2/Place PSfrag
+ -423 3066 a -151 3203 a
+  {
+ -151 3203 a Fk -151 3203
+a(x) -151 3203 y
+  } 3/Place PSfrag
+ -151 3203 a -146 3328 a
+  {
+ -146 3328 a
+Fk(z) -146 3328 y
+  } 4/Place PSfrag
+ -146 3328 a Fn 420 3817 a<3f5e>p Fm
+528 3817 a(1.1:)p Fn 694 3817 a<4134>p 774 3817 a<3c7e>p 854
+3817 a<3268>p 934 3817 a<417c>p 1014 3817 a<244e>p 1094
+3817 a<475b>p 1174 3817 a<4356>p Fm 1273 3817 a(1) 1992
+3526 y
+ /PSfrag where{pop(screen)[[0(Bl)1 0]](c)[[1(Bl)1 0]](zensyu)[[2(Bl)1
+0]](theta)[[3(Bl)1 0]](height)[[4(Bl)1 0]](O)[[5(Bl)1 0]]6 0 -1/Begin
+PSfrag}{userdict /PSfrag{pop}put}ifelse
+ 1992 3526 a @beginspecial 46 @llx 527 @lly 355
+@urx 802 @ury 2163 @rwi @setspecial
+%%BeginDocument: image/fig6.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 46 527 355 802
+%%Title: fig6
+%%CreationDate: Fri Jul  2 11:10:24 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 53 dict def
+tgifdict begin
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 46 527 355 802
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 395 M
+      0 445 atan DU cos 8.000 MU 620 exch SU
+      exch sin 8.000 MU 395 exch SU L
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      620 395 8.000 3.000 445 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      620 395 8.000 3.000 445 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 60 M
+      555 545 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      405 160 M
+      405 340 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      140 245 M
+      85 285 L
+      110 320 L
+      165 280 L
+      140 245 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      155 265 M
+      160 230 L
+      185 270 L
+      155 265 L
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+GS
+   95 218 TR
+   [1.556 0.000 0.000 1.000 0 0] CO
+   95 NE 218 NE TR
+GR
+   GS
+      1 W
+      95 218 TR
+      [1.556 0.000 0.000 1.000 0 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (c) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      455 210 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (screen) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      575 165 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      475 220 M
+      468.33 230.00 445.00 233.33
+      -5 -60 atan DU cos 8.000 MU 405 exch SU
+      exch sin 8.000 MU 230 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      405 230 8.000 3.000 -60 -5 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      405 230 8.000 3.000 -60 -5 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
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+%%Trailer
+%MatchingCreationDate: Fri Jul  2 11:10:24 2010
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+%%EndDocument
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+ /End PSfrag
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+ /Hide PSfrag
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+ /Unhide PSfrag
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+  } 3/Place PSfrag
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+PSfrag}{userdict /PSfrag{pop}put}ifelse
+ -13 2009 a -13 2009 a @beginspecial 12 @llx 569 @lly
+580 @urx 822 @ury 4544 @rwi @setspecial
+%%BeginDocument: image/fig7.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 12 569 580 822
+%%Title: fig7
+%%CreationDate: Mon Jul  5 15:56:52 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
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+/M { moveto } bd
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+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
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+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 12 569 580 822
+tgifdict begin
+/tgifsavedpage save def
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+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% OVAL
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+GR
+
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+
+% POLY/OPEN-SPLINE
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+% POLY/OPEN-SPLINE
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+
+% POLY/OPEN-SPLINE
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+   TGSM
+   1 W
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+GR
+
+% OVAL
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+GS
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+      S
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+
+% POLY/OPEN-SPLINE
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+
+% OVAL
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+GS
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+   GR
+GR
+
+% POLY/OPEN-SPLINE
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+      25 -10 atan DU cos 8.000 MU 190 exch SU
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+   TGSM
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+   CP F
+GR
+
+% TEXT
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+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (theta) SH
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+   GR
+
+% BOX
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+   GR
+GR
+
+% BOX
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+GS
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+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
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+   TGSM
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+      745 300 8.000 3.000 -130 0 TGAT
+   CP F
+GR
+GS
+   TGSM
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+      875 300 8.000 3.000 130 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      875 300 8.000 3.000 130 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      525 350 M
+      -95 0 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      -95 0 atan DU cos 8.000 MU 525 exch SU
+      exch sin 8.000 MU 255 exch SU L
+   TGSM
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+GS
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+   NP
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+   CP F
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+GS
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+      525 255 8.000 3.000 0 -95 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      525 255 8.000 3.000 0 -95 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      550 235 M
+      0 480 atan DU cos 8.000 MU exch sin 8.000 MU RM
+      0 480 atan DU cos 8.000 MU 1030 exch SU
+      exch sin 8.000 MU 235 exch SU L
+   TGSM
+   1 W
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+GS
+   TGSM
+   NP
+      550 235 8.000 3.000 -480 0 TGAT
+   1 SG CP F
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+   CP F
+GR
+GS
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+   1 SG CP F
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+
+% TEXT
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+   810 NE 208 NE TR
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+% TEXT
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+            /Courier FF [14 0 0 -14 0 0] MS
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+
+% TEXT
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+0 SG
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+            /Courier FF [14 0 0 -14 0 0] MS
+            (wtheta) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
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+GS
+   [4 4] 0 SD
+   NP
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+      475 250 L
+   TGSM
+   1 W
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+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
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+GS
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+GR
+
+% POLY/OPEN-SPLINE
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+GS
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+      307.50 45.83 271.67 38.33
+      -5 -70 atan DU cos 8.000 MU 225 exch SU
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+GS
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+      225 35 8.000 3.000 -70 -5 TGAT
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+
+% TEXT
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+% POLY/OPEN-SPLINE
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+
+% POLY/OPEN-SPLINE
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+% POLY/OPEN-SPLINE
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+% POLY/OPEN-SPLINE
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+
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+% TEXT
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+
+% POLY/OPEN-SPLINE
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+
+% POLY/OPEN-SPLINE
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+
+% POLY/OPEN-SPLINE
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+% POLY/OPEN-SPLINE
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+      845 265 L
+   TGSM
+   1 W
+   S
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+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Mon Jul  5 15:56:52 2010
+%%DocumentFonts: Courier
+%%EOF
+
+%%EndDocument
+ @endspecial -13 2009 a
+ /End PSfrag
+ -13 2009 a -13 1171 a
+ /Hide PSfrag
+ -13 1171
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+ /Unhide PSfrag
+ -13 1262 a -54 1386 a
+  {
+ -54 1386
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+  } 0/Place PSfrag
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+  {
+ -255 1487
+a Fk(\022)p Fj -216 1499 a(of) 7 b(f)g(set) -255 1487
+y
+  } 1/Place PSfrag
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+  {
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+  } 2/Place PSfrag
+
+-75 1635 a -61 1760 a
+  {
+ -61 1760 a Fk(h) -61 1760 y
+  } 3/Place PSfrag
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+  {
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+-126 1837 41 4 v -126 1884 a(\031)p Fk -75 1856 a(w) -136
+1856 y
+  } 4/Place PSfrag
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+4 v Fd -227 2009 a(2)p Fj(\031)p Fk -75 1980 a(w) -305
+1980 y
+  } 5/Place PSfrag
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+ /PSfrag where{pop(touei)[[0(Bl)1 0]](vscreen)[[1(Bl)1 0]](d)[[2(Bl)1
+0]](thetax)[[3(Bl)1 0]](c)[[4(Bl)1 0]](s1)[[5(Bl)1 0]](s2)[[6(Bl)1
+0]](screen)[[7(Bl)1 0]](zensyu)[[8(Bl)1 0]]9 0 -1/Begin PSfrag}{userdict
+/PSfrag{pop}put}ifelse
+ 501 5374 a 501 5374 a @beginspecial
+24 @llx 598 @lly 355 @urx 827 @ury 3310 @rwi @setspecial
+%%BeginDocument: image/fig3.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 24 598 355 827
+%%Title: fig3
+%%CreationDate: Sun Jun 27 09:58:26 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
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+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
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+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
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+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 24 598 355 827
+tgifdict begin
+/tgifsavedpage save def
+
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+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
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+   TGSM
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+      620 250 8.000 3.000 575 0 TGAT
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+   CP F
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+
+% POLY/OPEN-SPLINE
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+      555 60 M
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+   TGSM
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+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
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+   TGSM
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+
+% POLY/OPEN-SPLINE
+0 SG
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+      140 245 L
+   TGSM
+   1 W
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+GR
+
+% POLY/OPEN-SPLINE
+0 SG
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+
+% POLY/OPEN-SPLINE
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+   S
+GR
+
+% POLY/OPEN-SPLINE
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+      405 340 L
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+% POLY/OPEN-SPLINE
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+   TGSM
+   1 W
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+GR
+
+% POLY/OPEN-SPLINE
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+GS
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+   NP
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+      405 160 L
+   TGSM
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+   [] 0 SD
+GR
+
+% OVAL
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+NP 405 160 5 5 TGEL F
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+   GR
+GR
+
+% OVAL
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+GS
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+      NP 405 335 5 5 TGEL
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+
+% OVAL
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+GS
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+      S
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+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
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+      -10 -10 atan DU cos 8.000 MU 210 exch SU
+      exch sin 8.000 MU 220 exch SU CT
+   TGSM
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+GR
+GS
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+   0 SG
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+      210 220 8.000 3.000 -10 -10 TGAT
+   CP F
+GR
+
+% TEXT
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+0 SG
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+            /Courier FF [14 0 0 -14 0 0] MS
+            (thetax) SH
+      GR
+   GR
+
+% TEXT
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+            (d) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
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+GR
+
+% OVAL
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+      S
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+
+% TEXT
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+      95 218 TR
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+            /Courier FF [14 0 0 -14 0 0] MS
+            (c) SH
+      GR
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+
+% TEXT
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+% TEXT
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+% TEXT
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+            (vscreen) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
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+      exch sin 8.000 MU 105 exch SU CT
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+GS
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+   NP
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+   NP
+      255 105 8.000 3.000 30 -20 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
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+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (screen) SH
+      GR
+   GR
+
+% TEXT
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+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
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+      exch sin 8.000 MU 230 exch SU CT
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+
+% POLY/OPEN-SPLINE
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+GS
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+
+% POLY/OPEN-SPLINE
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+GS
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+   1 W
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+GR
+
+% POLY/OPEN-SPLINE
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+GS
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+      -70 0 atan DU cos 8.000 MU 310 exch SU
+      exch sin 8.000 MU 200 exch SU CT
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+
+% TEXT
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+            /Courier FF [14 0 0 -14 0 0] MS
+            (touei) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sun Jun 27 09:58:26 2010
+%%DocumentFonts: Courier
+%%EOF
+
+%%EndDocument
+ @endspecial 501 5374 a
+ /End PSfrag
+ 501 5374 a 501 4163 a
+ /Hide PSfrag
+ 501 4163
+a Fm -239 4220 a(PSfrag) 26 b(replacemen)n(ts)p -239
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+ /Unhide PSfrag
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+  {
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+464 4377 a(1) -3 4365 y
+  } 0/Place PSfrag
+ -3 4365 a -58 4490 a
+  {
+ -58 4490
+a Fn -58 4490 a<252b>p 22 4490 a<2561>p 102 4490 a<2569>p 182
+4490 a<244e>p 262 4490 a<456a>p 342 4490 a<3146>p 422
+4490 a<4c4c>p -58 4490 a
+  } 1/Place PSfrag
+ -58 4490 a 428 4610 a
+  {
+ 428 4610
+a Fk 428 4610 a(f)p Fl 478 4580 a(0) 428 4610 y
+  } 2/Place PSfrag
+ 428 4610
+a 420 4739 a
+  {
+ 420 4739 a Fk(\022)p Fj 459 4751 a(x) 420
+4739 y
+  } 3/Place PSfrag
+ 420 4739 a 148 4852 a
+  {
+ 148 4852 a Fm(\(0)p Fk(;) 14
+b(c)p Fj 295 4864 a(y)p Fk 334 4852 a(;)p Fm 14 w(0\))p
+Fl 445 4822 a(>) 148 4852 y
+  } 4/Place PSfrag
+ 148 4852 a 417 4988 a
+  {
+ 417
+4988 a Fc(s)p Fd 464 5000 a(1) 417 4988 y
+  } 5/Place PSfrag
+ 417 4988 a
+417 5113 a
+  {
+ 417 5113 a Fc(s)p Fd 464 5125 a(2) 417 5113
+y
+  } 6/Place PSfrag
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+  {
+ 102 5237 a Fn 102 5237 a<2539>p 182
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+5237 a<2573>p 102 5237 a
+  } 7/Place PSfrag
+ 102 5237 a 182 5362 a
+  {
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+a Fn 182 5362 a<4134>p 262 5362 a<3c7e>p 342 5362 a<3268>p 422
+5362 a<417c>p 182 5362 a
+  } 8/Place PSfrag
+ 182 5362 a Fn 1344 5664 a<3f5e>p Fm
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+eop end
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+Fl 2277 1554 a(>)p Fn 2351 1584 a<2448>p 2430 1584 a<2439>p 2509
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+a(0) 209 b(0) 105 b(1)p Fb 1805 1712 a(1) 1805 1858 y(C) 1805
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+ /PSfrag where{pop(theta)[[0(Bl)1 0]](d0)[[1(Bl)1 0]](xy)[[2(Bl)1 0]](offset)[[3(Bl)1
+0]]4 0 -1/Begin PSfrag}{userdict /PSfrag{pop}put}ifelse
+ 826 5381 a 826 5381 a @beginspecial
+150 @llx 558 @lly 403 @urx 821 @ury 2530 @rwi @setspecial
+%%BeginDocument: image/fig2.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 150 558 403 821
+%%Title: fig2
+%%CreationDate: Sun Jun 27 10:08:25 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 150 558 403 821
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% OVAL
+0 SG
+GS
+   GS
+      NP 475 285 205 205 TGEL
+      S
+   GR
+GR
+
+% BOX
+0 SG
+GS
+   10 SM
+   GS
+      NP 450 290 M 490 290 L 490 350 L 450 350 L CP
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 290 M
+      450 270 L
+      490 270 L
+      470 290 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      380 210 M
+      570 210 L
+   TGSM
+   2 W
+   S
+   1 W
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 270 M
+      340 130 L
+   TGSM
+   1 W
+   S
+GR
+
+% OVAL
+0 SG
+NP 340 130 5 5 TGEL F
+GS
+   GS
+      NP 340 130 5 5 TGEL
+      S
+   GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 270 M
+      470 210 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 270 M
+      473.33 263.33 476.67 256.67
+      480 250 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 210 M
+      476.67 220.00 480.00 228.33
+      480 235 CT
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      500 240 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (d0) SH
+      GR
+   GR
+
+% OVAL
+0 SG
+NP 415 210 5 5 TGEL F
+GS
+   GS
+      NP 415 210 5 5 TGEL
+      S
+   GR
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      415 180 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (xy) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      470 270 M
+      470 60 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      505 40 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (offset) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   [4 12] 0 SD
+   NP
+      470 270 M
+      715 270 L
+   TGSM
+   1 W
+   S
+   [] 0 SD
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      695 270 M
+      695.00 223.33 681.67 183.33 655.00 150.00 CT
+      628.33 116.67 600.83 94.17 572.50 82.50 CT
+      544.17 70.83 510.00 65.00
+      0 -60 atan DU cos 8.000 MU 470 exch SU
+      exch sin 8.000 MU 65 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      470 65 8.000 3.000 -60 0 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      470 65 8.000 3.000 -60 0 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      410 210 M
+      416.67 200.00 423.33 195.00
+      430 195 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 210 M
+      466.67 203.33 460.00 198.33
+      450 195 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      470 240 M
+      463.33 240.00 456.67 243.33
+      10 -10 atan DU cos 8.000 MU 450 exch SU
+      exch sin 8.000 MU 250 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      450 250 8.000 3.000 -10 10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      450 250 8.000 3.000 -10 10 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      400 255 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (theta) SH
+      GR
+   GR
+
+GR
+tgifsavedpage restore
+end
+showpage
+
+%%Trailer
+%MatchingCreationDate: Sun Jun 27 10:08:25 2010
+%%DocumentFonts: Courier
+%%EOF
+
+%%EndDocument
+ @endspecial 826 5381 a
+ /End PSfrag
+ 826 5381 a 826 4793 a
+ /Hide PSfrag
+ 826 4793
+a Fm 86 4850 a(PSfrag) 26 b(replacemen)n(ts)p 86 4880
+741 4 v 826 4883 a
+ /Unhide PSfrag
+ 826 4883 a 785 5008 a
+  {
+ 785 5008 a Fk(\022) 785
+5008 y
+  } 0/Place PSfrag
+ 785 5008 a 753 5116 a
+  {
+ 753 5116 a Fk(f)p Fl 803
+5086 a(0) 753 5116 y
+  } 1/Place PSfrag
+ 753 5116 a 616 5257 a
+  {
+ 616 5257 a
+Fc(P)p Fl 690 5220 a(\000)p Fd(1)p Fk 779 5257 a(x) 616
+5257 y
+  } 2/Place PSfrag
+ 616 5257 a 629 5369 a
+  {
+ 629 5369 a Fk(\022)p Fd
+668 5381 a(o\013set) 629 5369 y
+  } 3/Place PSfrag
+ 629 5369 a Fn 1593 5672
+a<3f5e>p Fm 1701 5672 a(1.5:)p Fk 36 w(\022)p Fn 1928
+5672 a<244e>p 2008 5672 a<3757>p 2088 5672 a<3b3b>p Fm
+1860 6085 a(3)p dyy eop end
+%%Page: 4 4
+TeXDict begin 4 3 bop Fn -24 -63 a<3f5e>p Fm 76 -63 a(1.5)p
+Fn 202 -63 a<2468>p 282 -63 a<246a>p 358 -63 a<2124>p Fk
+438 -63 a(x)p Fl 485 -93 a(0)p Fn 528 -63 a<244b>p 608
+-63 a<4250>p 688 -63 a<317e>p 768 -63 a<2439>p 848 -63
+a<246b>p Fk 948 -63 a(\022)p Fn 1009 -63 a<244f>p 1089
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+-63 a<246c>p 1649 -63 a<246b>p 1729 -63 a<2125>p Fk 1259
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+283 a(tan)p Fl 1619 249 a(\000)p Fd(1)p Fc 1719 227 a(P)p
+Fl 1792 190 a(\000)p Fd(1)p Fk 1881 227 a(x)p Fl 1928
+197 a(0)p 1719 264 234 4 v Fk 1799 340 a(f)p Fl 1849
+316 a(0)p Fm 1980 283 a(+)p Fk 18 w(\022)p Fd 2102 295
+a(o\013set)p Fb 2261 166 a(\023)p Fm 3694 283 a(\(1.4\)) 3694
+457 y(\(1.5\))p Fn -24 665 a<2433>p 55 665 a<2433>p 134
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+329 677 a(of) 7 b(f)g(set)p Fn 550 665 a<244f>p Fk 648
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+665 a<245e>p 3783 665 a<245e>p -104 789 a<244b>p -24
+789 a<2124>p 56 789 a<2539>p 136 789 a<252f>p 216 789
+a<256a>p 296 789 a<213c>p 376 789 a<2573>p 456 789 a<244e>p 536
+789 a<423e>p 616 789 a<244e>p 696 789 a<4a3f>p 776 789
+a<4c4c>p 856 789 a<244b>p 936 789 a<4250>p 1016 789 a<2439>p 1096
+789 a<246b>p 1176 789 a<2533>p 1256 789 a<2573>p 1336
+789 a<2546>p 1416 789 a<2573>p 1496 789 a<2544>p 1576
+789 a<3268>p 1656 789 a<417c>p 1736 789 a<2472>p 1816
+789 a<4640>p 1896 789 a<246b>p 1976 789 a<2433>p 2056
+789 a<2448>p 2136 789 a<242c>p 2216 789 a<2447>p 2296
+789 a<242d>p 2376 789 a<246b>p 2456 789 a<2125>p Fk -104
+1101 a(y)p Fg -40 1101 a<244e>p 40 1101 a<3757>p 120
+1101 a<3b3b>p Fn -24 1287 a<3f5e>p Fm 76 1287 a(1.6)p
+Fn 202 1287 a<2468>p 282 1287 a<246a>p 358 1287 a<2124>p Fk
+438 1287 a(y)p Fl 482 1257 a(0)p Fn 524 1287 a<244b>p 604
+1287 a<4250>p 684 1287 a<317e>p 764 1287 a<2439>p 844
+1287 a<246b>p Fk 944 1287 a(y)p Fn 1008 1287 a<244f>p 1088
+1287 a<3c21>p 1168 1287 a<3c30>p 1248 1287 a<2447>p 1328
+1287 a<3561>p 1408 1287 a<2461>p 1488 1287 a<2469>p 1568
+1287 a<246c>p 1648 1287 a<246b>p 1728 1287 a<2125>p 1806
+1287 a<243f>p 1886 1287 a<2440>p 1966 1287 a<2437>p 2046
+1287 a<2124>p 2126 1287 a<4134>p 2206 1287 a<3c7e>p 2286
+1287 a<3268>p 2366 1287 a<417c>p 2446 1287 a<244e>p 2526
+1287 a<483e>p 2606 1287 a<3742>p 2686 1287 a<2472>p Fk
+2785 1287 a(r)p Fn 2845 1287 a<2448>p 2925 1287 a<2439>p 3005
+1287 a<246b>p 3085 1287 a<2125>p 501 3453 a
+ /PSfrag where{pop(vscreen)[[0(Bl)1 0]](thetax)[[1(Bl)1 0]](thetap)[[2(Bl)1
+0]](c)[[3(Bl)1 0]](r)[[4(Bl)1 0]](rp)[[5(Bl)1 0]](f)[[6(Bl)1 0]](dist)[[7(Bl)1
+0]](zensyu)[[8(Bl)1 0]]9 0 -1/Begin PSfrag}{userdict /PSfrag{pop}put}ifelse
+ 501 3453
+a 501 3453 a @beginspecial 24 @llx 556 @lly 355 @urx
+802 @ury 3310 @rwi @setspecial
+%%BeginDocument: image/fig4.eps
+%!PS-Adobe-3.0 EPSF-3.0
+%%BoundingBox: 24 556 355 802
+%%Title: fig4
+%%CreationDate: Sun Jun 27 10:48:45 2010
+%%Creator: Tgif-4.1.45-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org)
+%%ProducedBy: (unknown)
+%%Pages: 1
+%%DocumentFonts: (atend)
+%%EndComments
+%%BeginProlog
+
+/tgifdict 55 dict def
+tgifdict begin
+
+/tgifellipsedict 6 dict def
+tgifellipsedict /mtrx matrix put
+
+/TGEL % tgifellipse
+ { tgifellipsedict begin
+      /yrad exch def
+      /xrad exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      xrad yrad scale
+      0 0 1 0 360 arc
+      savematrix setmatrix
+   end
+ } def
+
+/tgifarrowtipdict 8 dict def
+tgifarrowtipdict /mtrx matrix put
+
+/TGAT % tgifarrowtip
+ { tgifarrowtipdict begin
+      /dy exch def
+      /dx exch def
+      /h exch def
+      /w exch def
+      /y exch def
+      /x exch def
+      /savematrix mtrx currentmatrix def
+      x y translate
+      dy dx atan rotate
+      0 0 moveto
+      w neg h lineto
+      w neg h neg lineto
+      savematrix setmatrix
+   end
+ } def
+
+/TGMAX
+ { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse
+ } def
+/TGMIN
+ { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse
+ } def
+/TGSW { stringwidth pop } def
+
+/bd { bind def } bind def
+
+/GS { gsave } bd
+/GR { grestore } bd
+/NP { newpath } bd
+/CP { closepath } bd
+/CHP { charpath } bd
+/CT { curveto } bd
+/L { lineto } bd
+/RL { rlineto } bd
+/M { moveto } bd
+/RM { rmoveto } bd
+/S { stroke } bd
+/F { fill } bd
+/TR { translate } bd
+/RO { rotate } bd
+/SC { scale } bd
+/MU { mul } bd
+/DI { div } bd
+/DU { dup } bd
+/NE { neg } bd
+/AD { add } bd
+/SU { sub } bd
+/PO { pop } bd
+/EX { exch } bd
+/CO { concat } bd
+/CL { clip } bd
+/EC { eoclip } bd
+/EF { eofill } bd
+/IM { image } bd
+/IMM { imagemask } bd
+/ARY { array } bd
+/SG { setgray } bd
+/RG { setrgbcolor } bd
+/SD { setdash } bd
+/W { setlinewidth } bd
+/SM { setmiterlimit } bd
+/SLC { setlinecap } bd
+/SLJ { setlinejoin } bd
+/SH { show } bd
+/FF { findfont } bd
+/MS { makefont setfont } bd
+/AR { arcto 4 {pop} repeat } bd
+/CURP { currentpoint } bd
+/FLAT { flattenpath strokepath clip newpath } bd
+/TGSM { tgiforigctm setmatrix } def
+/TGRM { savematrix setmatrix } def
+
+end
+
+%%EndProlog
+%%Page: 1 1
+
+%%PageBoundingBox: 24 556 355 802
+tgifdict begin
+/tgifsavedpage save def
+
+1 SM
+1 W
+
+0 SG
+
+72 0 MU 72 11.602 MU TR
+72 128 DI 100.000 MU 100 DI DU NE SC
+
+GS
+
+/tgiforigctm matrix currentmatrix def
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      45 250 M
+      620 250 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 60 M
+      555 420 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   80 225 TR
+   [0.954 0.299 -0.299 0.954 13 -10] CO
+   80 NE 225 NE TR
+GS
+   NP
+      135 225 M
+      80 265 L
+      105 300 L
+      160 260 L
+      135 225 L
+   TGSM
+   1 W
+   S
+GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   155 225 TR
+   [0.975 0.223 -0.223 0.975 5 -3] CO
+   155 NE 225 NE TR
+GS
+   NP
+      155 260 M
+      160 225 L
+      185 265 L
+      155 260 L
+   TGSM
+   1 W
+   S
+GR
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 250 M
+      610 135 L
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      280 70 M
+      370 335 L
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      245 270 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (thetax) SH
+      GR
+   GR
+
+% OVAL
+0 SG
+NP 170 250 5 5 TGEL F
+GS
+   GS
+      NP 170 250 5 5 TGEL
+      S
+   GR
+GR
+
+% TEXT
+NP
+0 SG
+GS
+   115 208 TR
+   [1.556 0.000 0.000 1.000 0 0] CO
+   115 NE 208 NE TR
+GR
+   GS
+      1 W
+      115 208 TR
+      [1.556 0.000 0.000 1.000 0 0] CO
+      0 12 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (c) SH
+      GR
+   GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      140 115 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (vscreen) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      215 130 M
+      248.33 133.33 275.00 128.33
+      -20 30 atan DU cos 8.000 MU 295 exch SU
+      exch sin 8.000 MU 115 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      295 115 8.000 3.000 30 -20 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      295 115 8.000 3.000 30 -20 TGAT
+   CP F
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      575 165 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (zensyu) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      600 185 M
+      596.67 201.67 581.67 213.33
+      10 -40 atan DU cos 8.000 MU 555 exch SU
+      exch sin 8.000 MU 220 exch SU CT
+   TGSM
+   1 W
+   S
+GR
+GS
+   TGSM
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   1 SG CP F
+   0 SG
+   NP
+      555 220 8.000 3.000 -40 10 TGAT
+   CP F
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      170 250 M
+      176.67 233.33 186.67 221.67
+      200 215 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      550 85 M
+      530.00 78.33 511.67 78.33
+      495 85 CT
+   TGSM
+   1 W
+   S
+GR
+
+% TEXT
+NP
+0 SG
+   GS
+      1 W
+      325 140 M
+      GS
+            0 SG
+            /Courier FF [14 0 0 -14 0 0] MS
+            (rp) SH
+      GR
+   GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      175 255 M
+      185.00 261.67 196.67 266.67
+      210 270 CT
+   TGSM
+   1 W
+   S
+GR
+
+% POLY/OPEN-SPLINE
+0 SG
+GS
+   NP
+      555 250 M
+      541.67 260.00 525.00 266.67
+      505 270 CT
+   TGSM
+   1 W
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+tgifsavedpage restore
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+%%Trailer
+%MatchingCreationDate: Sun Jun 27 10:48:45 2010
+%%DocumentFonts: Courier
+%%EOF
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+%%EndDocument
+ @endspecial 501 3453 a
+ /End PSfrag
+ 501 3453 a 501 2242 a
+ /Hide PSfrag
+ 501 2242
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+ /Unhide PSfrag
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+2445 a<4c4c>p -58 2445 a
+  } 0/Place PSfrag
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+  {
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+  } 1/Place PSfrag
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+  {
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+2694 y
+  } 2/Place PSfrag
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+  } 3/Place PSfrag
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+  } 4/Place PSfrag
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+  {
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+a Fk(r)p Fl 477 3050 a(0) 438 3080 y
+  } 5/Place PSfrag
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+a
+  {
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+  } 6/Place PSfrag
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+a(y) 117 3305 y
+  } 7/Place PSfrag
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+  } 8/Place PSfrag
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+Fn -24 1180 a<2472>p 56 1180 a<3272>p 136 1180 a<242f>p 216
+1180 a<2433>p 296 1180 a<2448>p 376 1180 a<2447>p 456
+1180 a<3561>p 536 1180 a<2461>p 616 1180 a<246b>p 696
+1180 a<2433>p 776 1180 a<2448>p 856 1180 a<242c>p 936
+1180 a<2447>p 1016 1180 a<242d>p 1096 1180 a<246b>p 1174
+1180 a<214a>p Fk 1254 1180 a(H)p Fd 1323 1192 a(33)p
+Fn 1413 1180 a<2472>p Fm 1513 1180 a(1)p Fn 1575 1180
+a<2448>p 1655 1180 a<4356>p 1735 1180 a<2424>p 1815 1180
+a<243f>p 1895 1180 a<3e6c>p 1975 1180 a<3967>p 2055 1180
+a<214b>p 2115 1180 a<2125>p Fm 1860 6085 a(5)p dyy eop
+end
+%%Trailer
+
+userdict /end-hook known{end-hook}if
+%%EOF
diff --git a/latex/M2/siryou/3/main.tex b/latex/M2/siryou/3/main.tex
new file mode 100644 (file)
index 0000000..77ec397
--- /dev/null
@@ -0,0 +1,302 @@
+\documentclass[a4paper,10.5pt]{jreport}
+\include{settings}
+\usepackage{ascmac}
+\usepackage{multicol}
+%\NumDateName{20}{Ê¿À®22ǯ5·î31Æü}{°ÂÅÄÊþ¹­}
+\cfoot{\thepage}   
+
+\newcommand{\vtheta}{\myvector{\theta}}
+
+\begin{document}
+%\tableofcontents
+\pagenumbering{arabic}
+
+%\chapter{ºÂɸ·Ï}
+%\subsubsection{À¤³¦ºÂɸ·Ï}
+%\subsubsection{¥«¥á¥éºÂɸ·Ï}
+%\subsubsection{²èÁüºÂɸ·Ï}
+
+
+\chapter{¼êË¡}
+
+\section{Á´¼þ²èÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹}
+ËÜÀá¤Ç¤Ï¡¤Á´¼þ²èÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡¥
+
+Á´¼þ²èÁü¤ÏÁ´¼þ¥«¥á¥éÅù¤Ç»£±Æ¤µ¤ì¤¿¡¤¥«¥á¥é¤Î¼þ°Ï$360^\circ$¤¬Åê±Æ¤µ¤ì¤¿²èÁü¤Ç¤¢¤ë¡¥
+¤Þ¤¿¡¤¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ï¥×¥í¥¸¥§¥¯¥¿·²¤«¤é¤ÎÅê±Æ¤ËÍøÍѤµ¤ì¤ë¤â¤Î¤Ç¡¤
+¥¹¥¯¥ê¡¼¥ó¤ò¹½À®¤¹¤ëÊ¿ÌÌËè¤ËºîÀ®¤µ¤ì¤ë¡¥
+
+ËÜÀá¤Ç¤Ï¡¤¿Þ\ref{fig_env1}¤Î¤è¤¦¤Ë¡¤¸¶ÅÀ¤òÃæ¿´¤Ë¥¹¥¯¥ê¡¼¥ó¤ò°Ï¤à±ßÅû¤òÇÛÃÖ¤·¡¤¤½¤ÎÌ̾å¤ËÁ´¼þ²èÁü¤¬³ä¤êÅö¤Æ¤é¤ì¤Æ¤¤¤ë¤â¤Î¤È¤¹¤ë¡¥
+¤Þ¤¿¡¤´ÑµÒ¤Î»ëÅÀ¤òɽ¤¹¥«¥á¥é¤ò¸¶ÅÀ¤ËÇÛÃÖ¤¹¤ë¡¥
+¤Þ¤¿¡¤¹â¤µÊý¸þ¤ÎÊ¿ʰÜÆ°$c_x$¤È¥Á¥ë¥È²óž³Ñ$\theta_y$¤Î¼«Í³ÅÙ¤ò»ý¤Ä¡Ê¿Þ\ref{fig_env2}¡Ë¡¥
+¥¹¥¯¥ê¡¼¥ó¤Ë¤Ä¤¤¤Æ¡¤¿Þ¤Ç¤Ï4Ëç¤ÎÊ¿Ì̤Ǥ³¤ì¤òɽ¤·¤Æ¤¤¤ë¤¬¡¤Æ±¤¸¹â¤µ¤ÎÊ¿ÌÌ·²¤Ç¹½À®¤µ¤ì¤Æ¤¤¤ì¤Ð¡¤ËÜÀá¤Ç½Ò¤Ù¤ëÊÑ´¹¼°¤òŬÍѤǤ­¤ë¡¥
+
+
+\begin{figure}[htbp]
+  \begin{multicols}{2}
+       \begin{center}
+               \psfrag{screen}{¥¹¥¯¥ê¡¼¥ó}
+               \psfrag{camera}{¥«¥á¥é}
+               \psfrag{zensyu}{Á´¼þ²èÁü}
+               \psfrag{y}{$x$}
+               \psfrag{z}{$z$}
+               \includegraphics[scale=0.8]{image/fig1.eps}
+       \end{center}
+               \caption{Á´¼þ²èÁü¤ÎÇÛÃÖ1}
+               \label{fig_env1}
+       \begin{center}
+               \psfrag{screen}{¥¹¥¯¥ê¡¼¥ó}
+               \psfrag{c}{¥«¥á¥é}
+               \psfrag{zensyu}{Á´¼þ²èÁü}
+               \psfrag{theta}{$\theta_y$}
+               \psfrag{height}{$c_x$}
+               \psfrag{O}{$O$}
+               \includegraphics[scale=0.7]{image/fig6.eps}
+       \end{center}
+               \caption{Á´¼þ²èÁü¤ÎÇÛÃÖ2}
+               \label{fig_env2}
+  \end{multicols}
+\end{figure}
+
+%Á´¼þ²èÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹¤Î²áÄø¤Ï¡¤Á´¼þ²èÁü¤«¤é¥«¥á¥é¤ÎÅê±ÆÁü¤Ø¤ÎÊÑ´¹¤È¡¤
+%Åê±ÆÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹¤Î2¤Ä¤ÎÃʳ¬¤ËÂçÊ̤µ¤ì¤ë¡¥
+
+TODO
+
+%¤³¤ì¤é¤ÎÊÑ´¹¤Ï¡¤²èÁü´Ö¤ÎºÂɸ·Ï¤ÎÂбþ¤Ë¤è¤Ã¤ÆÄêµÁ¤Ç¤­¤ë¡¥ËÜÀá¤Ç¤Ï¡¤
+%Á´¼þ²èÁü¤ÎºÂɸ¤ò$\vx = (\theta, y)^\top$¡¤¥«¥á¥é¤ÎÅê±ÆÁü¤ÎºÂɸ¤ò$\vxp = (x', y')^\top$¡¤
+%¥³¥ó¥Æ¥ó¥Ä²èÁü¤ÎºÂɸ¤ò$\vx'' = (x'', y'')^\top$¤Ç¤½¤ì¤¾¤ìɽ¤¹¡¥
+
+TODO
+
+
+
+%\subsection{Á´¼þ²èÁüºÂɸ·Ï´Ö¤Î¼Í±ÆÊÑ´¹}
+\subsubsection{¥³¥ó¥Æ¥ó¥Ä²½ÈÏ°Ï}
+¿Þ\ref{fig_content}¤ÏÁ´¼þ²èÁü¤Î¤¦¤Á¡¤¥³¥ó¥Æ¥ó¥Ä²èÁü¤ËÊÑ´¹¤µ¤ì¤ëÈϰϤòɽ¤·¤Æ¤¤¤ë¡¥
+ËÜÀá¤Ç¤Ï¡¤¤³¤ÎÈϰϤΤ³¤È¤ò¥³¥ó¥Æ¥ó¥Ä²½ÈϰϤȸƤ֡¥¿ÞÃæ¤Î$\theta$¤Ï¡¤¥«¥á¥é¤Î¸÷¼´¤òɽ¤¹Ä¾Àþ¤È¡¤
+»ëÅÀ¤È¥¹¥¯¥ê¡¼¥óÊ¿Ì̤ÎĺÅÀ¤ò·ë¤ó¤ÀľÀþ¤òYZÊ¿Ì̾å¤Ë¼Í±Æ¤·¤¿»þ¤Î¡¤¤½¤ì¤é¤Î´Ö¤Î³ÑÅÙ¤òɽ¤¹¡¥¤Þ¤¿¡¤
+$\theta_{offset}$¤Ï¡¤Y¼´¤È¥«¥á¥é¤Î¸÷¼´¤òɽ¤¹Ä¾Àþ¤òYZÊ¿Ì̾å¤Ë¼Í±Æ¤·¤¿»þ¤Î¡¤¤½¤ì¤é¤Î´Ö¤Î³ÑÅÙ¤òɽ¤¹¡¥
+¤³¤Î¤È¤­¡¤¥³¥ó¥Æ¥ó¥Ä²½ÈϰϤÏÁ´¼þ²èÁüÃæ¤Î¹â¤µ$h$¡¤Éý$\frac{\theta}{\pi}w$¤Î¶ë·Á¤È¤¹¤ë
+(¤¿¤À¤·¡¤Á´¼þ²èÁü¤Î¹â¤µ¤ÈÉý¤ò¡¤¤½¤ì¤¾¤ì$h,w$¤È¤¹¤ë)¡¥
+
+¾°¡¤$\theta_{offset}$¤òŬÀÚ¤ËÁª¤Ö¤³¤È¤Ç¡¤¥«¥á¥é¤Î»ÑÀª¤òÊѲ½¤µ¤»¤º¤Ë¡¤¤½¤ì¤¾¤ì¤Î¥¹¥¯¥ê¡¼¥óÊ¿Ì̤ËÂФ¹¤ë
+¥³¥ó¥Æ¥ó¥Ä²èÁü¤òÆÀ¤ë¤³¤È¤¬¤Ç¤­¤ë¡¥¼«Á³¤ÊÅê±Æ¤ò¹Ô¤¦¤Ë¤Ï¡¤¼¡¤Î¾ò·ï¤òËþ¤¿¤¹¤è¤¦¤Ë$\theta_{offset}$¤ò·è¤á¤ì¤Ð¤è¤¤¡¥
+
+\begin{itemize}
+       \item ³Æ¥¹¥¯¥ê¡¼¥óÊ¿Ì̤ËÂбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²½²èÁü¤¬¡¤¤Á¤ç¤¦¤ÉÁ´¼þ²èÁüÁ´ÂΤòËä¤á¤ë
+       \item ¥¹¥¯¥ê¡¼¥óÊ¿Ì̤¬ÎÙ¤ê¹ç¤Ã¤Æ¤¤¤ì¤Ð¡¤Âбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²½²èÁü¤âÎÙ¤ê¹ç¤¦
+\end{itemize}
+
+\begin{figure}[htpb]
+       \begin{center}
+               \psfrag{theta}{$\theta$}
+               \psfrag{offset}{$\theta_{offset}$}
+               \psfrag{w}{$w$}
+               \psfrag{h}{$h$}
+               \psfrag{zensyu}{Á´¼þ²èÁü}
+               \psfrag{contents}{¥³¥ó¥Æ¥ó¥Ä²½ÈÏ°Ï}
+               \psfrag{wtheta}{$\frac{\theta}{\pi}w $}
+               \psfrag{woffset}{$\frac{\theta_{offset}}{2\pi}w $}
+               \includegraphics[scale=0.8]{image/fig7.eps}
+       \end{center}
+       \caption{Á´¼þ²èÁü¤ÎÅê±ÆÎΰè}
+       \label{fig_content}
+\end{figure}
+
+\subsubsection{¥³¥ó¥Æ¥ó¥Ä²½ÈÏ°Ï}
+
+
+\subsection{¥«¥á¥éÅê±ÆÌ̤ηèÄê}
+Á´¼þ²èÁü¤«¤é¥«¥á¥é¤ÎÅê±ÆÁü¤Ø¤ÎºÂɸÊÑ´¹¤ò½Ò¤Ù¤ëÁ°¤Ë¡¤¥«¥á¥é¤ÎÅê±ÆÌ̤ηè¤áÊý¤Ë¤Ä¤¤¤Æ
+½Ò¤Ù¤Æ¤ª¤¯É¬Íפ¬¤¢¤ë¡¥
+
+Åê±ÆÌ̤ϾÇÅÀµ÷Î¥$f'$¤ÈÉý$w'$¤È¹â¤µ$h'$¤Ë¤è¤Ã¤ÆÄê¤Þ¤ë¡¥
+¤Þ¤º¡¤¾ÇÅÀµ÷Î¥¤Î·è¤áÊý¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡¥
+\begin{figure}[htpb]
+       \begin{center}
+               \psfrag{touei}{Åê±Æ¤µ¤ì¤¿$\vs_1$}
+               \psfrag{vscreen}{¥«¥á¥é¤ÎÅê±ÆÌÌ}
+               \psfrag{d}{$f'$}
+               \psfrag{thetax}{$\theta_x$}
+               \psfrag{c}{$(0, c_y, 0)^\top$}
+               \psfrag{s1}{$\vs_1$}
+               \psfrag{s2}{$\vs_2$}
+               \psfrag{screen}{¥¹¥¯¥ê¡¼¥ó}
+               \psfrag{zensyu}{Á´¼þ²èÁü}
+               \includegraphics[scale=1]{image/fig3.eps}
+       \end{center}
+       \caption{¥¹¥¯¥ê¡¼¥óÁü¤ÈÅê±ÆÌÌ}
+       \label{fig_vscreen}
+\end{figure}
+
+\subsubsection{¾ÇÅÀµ÷Î¥}
+¥«¥á¥é¤Î¾ÇÅÀµ÷Î¥¤ò$f$¡¤$\theta_x$¤Î¥Á¥ë¥È²óž¤òɽ¤¹3¼¡¸µÆ±¼¡ºÂɸ¹ÔÎó¤ò$\mR_{\theta_x}$¡¤
+$\vt = (0, c_y, 0, 1)^\top$¤È¤¹¤ë¤È¡¤
+Åê±ÆÌ̤ÎÃæ¿´ºÂɸ$\vp$¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+
+\begin{equation}
+       \vp = \mR_{\theta_x} (0, 0, f, 1)^\top + \vt
+\end{equation}
+
+¥¹¥¯¥ê¡¼¥ó¤ÎĺÅÀ$\vs_i$¤¬Åê±ÆÌ̾å¤Ë¤¢¤ì¤Ð¡¤$(\vp, \vp - \vx) = 0$¤òËþ¤¿¤¹¡¥
+ËÜ»ñÎÁ¤Ç¤Ï¡¤¾ÇÅÀµ÷Î¥$f'$¤ò¡¤¤¤¤º¤ì¤ÎĺÅÀ¤ËÂФ·¤Æ¤âÅê±ÆÌ̤¬¼êÁ°¤Ë¤¯¤ë¤è¤¦¤Ë¤È¤ë¡¥
+·Á¼°Åª¤Ë¤Ï¡¤¤³¤ì¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+
+\begin{equation}
+       f' = {\rm min}\{ f | \forall \vs_i, (\vp, \vp - \vs_i) = 0 \}
+\end{equation}
+
+\subsubsection{Éý¤È¹â¤µ}
+¥¹¥¯¥ê¡¼¥ó¤ÎĺÅÀ$\vs_i$¤òÅê±ÆÌ̾å¤ËÅê±Æ¤·¤¿¤â¤Î¤ò$\vsp_i = (x'_i, y'_i, 1)^\top$¤È¤¹¤ë¡¥
+¤Þ¤¿¡¤$\mP = \mA  \mP_f
+\begin{pmatrix}
+\mRi_{\theta_x} & -\vt \\
+ \vZERO       & 1
+\end{pmatrix}
+$¤Ç¤¢¤ê¡¤$
+\mP_f =
+\begin{pmatrix}
+1 & 0 & 0 & 0\\
+0 & 1 & 0 & 0\\
+0 & 0 & 1 & 0\\
+\end{pmatrix},
+\mA =
+\begin{pmatrix}
+f w''/{h''} & 0 & p_1 \\
+0 & f  & p_2\\
+0 & 0 & 1 \\
+\end{pmatrix}
+$¤È¤¹¤ë¤È¡¤$\vsp_i$¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+
+\begin{equation}
+       \vsp_i = \mP \vs_i \
+\end{equation}
+
+Åê±ÆÌ̤ÎÂ礭¤µ¤Ï¡¤¤³¤ì¤é¤ÎºÂɸ¤¬Åê±ÆÌ̾å¤ËÃúÅÙ¼ý¤Þ¤ë¤è¤¦¤Ë·èÄꤵ¤ì¤ë¡¥
+¤¿¤À¤·¡¤$w'$¤È$h'$¤ÎÈæ¤Ï¡¤¥³¥ó¥Æ¥ó¥Ä²èÁü¤Î¥¢¥¹¥Ú¥¯¥ÈÈæ¤È°ìÃפ¹¤ë¤è¤¦¤Ë¤È¤ë¡¥
+
+
+\subsection{Á´¼þ²èÁü¤«¤é¥«¥á¥é¤ÎÅê±ÆÁü¤Ø¤ÎÊÑ´¹}
+
+\subsubsection{$\theta$¤Î·×»»}
+
+\begin{figure}[htpb]
+       \begin{center}
+               \psfrag{theta}{$\theta$}
+               \psfrag{d0}{$f'$}
+               \psfrag{xy}{$\mPi x$}
+               \psfrag{offset}{$\theta_{\rm offset}$}
+               \includegraphics[scale=1]{image/fig2.eps}
+       \end{center}
+       \caption{$\theta$¤Î·×»»}
+       \label{fig_theta}
+\end{figure}
+
+
+¿Þ\ref{fig_theta}¤è¤ê¡¤$x'$¤ËÂбþ¤¹¤ë$\theta$¤Ï¼¡¼°¤Çµá¤á¤é¤ì¤ë¡¥
+
+\begin{eqnarray}
+\theta = \ \left( {\rm tan}^{-1} \frac{\mPi x'}{f'} + \theta_{ {\rm offset}} \right) \\
+\end{eqnarray}
+
+¤³¤³¤Ç¡¤$\theta_{offset}$¤Ï$\theta$¤Î¥ª¥Õ¥»¥Ã¥ÈÃͤǤ¢¤ë¡¥¤Þ¤¿¡¤¤³¤ÎÃͤòŬÀÚ¤ËÀßÄꤹ¤ë¤³¤È¤Ç¡¤
+¥«¥á¥é¤Î¸þ¤­¤Ï¤½¤Î¤Þ¤Þ¤Ë¡¤¥¹¥¯¥ê¡¼¥ó¤Î¾¤ÎÊ¿Ì̤ËÂФ¹¤ë¥³¥ó¥Æ¥ó¥Ä²èÁü¤òÆÀ¤ë¤³¤È¤¬¤Ç¤­¤ë¡¥
+
+\subsubsection{$y$¤Î·×»»}
+
+¿Þ\ref{fig_y}¤è¤ê¡¤$y'$¤ËÂбþ¤¹¤ë$y$¤Ï¼¡¼°¤Çµá¤á¤é¤ì¤ë¡¥
+¤¿¤À¤·¡¤Á´¼þ²èÁü¤ÎȾ·Â¤ò$r$¤È¤¹¤ë¡¥
+
+\begin{figure}[htpb]
+       \begin{center}
+               \psfrag{vscreen}{¥«¥á¥é¤ÎÅê±ÆÌÌ}
+               \psfrag{thetax}{$\theta_x$}
+               \psfrag{thetap}{$\theta_\Delta$}
+               \psfrag{c}{$(0, c_y, 0)^\top$}
+               \psfrag{r}{$r$}
+               \psfrag{rp}{$r'$}
+               \psfrag{f}{$f'$}
+               \psfrag{dist}{$\mPi y - c_y$}
+               \psfrag{zensyu}{Á´¼þ²èÁü}
+               \includegraphics[scale=1]{image/fig4.eps}
+       \end{center}
+       \caption{$y$¤Î·×»»}
+       \label{fig_y}
+\end{figure}
+
+\begin{eqnarray}
+       y &=& \mP r' \sin(\theta_\Delta + \theta_x) + c_y \\
+       r' &=& \frac{r}{\cos(\theta_\Delta + \theta_x)} \\
+       \theta_\Delta &=& \tan^{-1} \frac{\mPi y^\prime - c_y}{f' } 
+\end{eqnarray}
+
+
+
+\subsection{¥«¥á¥é¤ÎÅê±ÆÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹}
+$\vsp_i$¤«¤éÂбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²èÁü¤ÎĺÅÀºÂɸ¡Ê$(0, 0, 1)^\top, (w'', 0, 1)^\top, (0, h'', 1)^\top, (w'', h'', 1)^\top$¡Ë
+¤Ø¤Î¼Í±ÆÊÑ´¹¹ÔÎó¤ò$\mH$¤È¤¹¤ì¤Ð¡¤¥«¥á¥é¤ÎÅê±ÆÌ̾å¤ÎºÂɸ$\vx''$¤ËÂбþ¤¹¤ë¥³¥ó¥Æ¥ó¥Ä²èÁü¾å¤ÎºÂɸ$\vx'$¤Ï¼¡¼°¤Çɽ¤µ¤ì¤ë¡¥
+
+\begin{eqnarray}
+       \vx' = \mHi \vx''
+\end{eqnarray}
+
+¤Þ¤¿¡¤$\mH$¤Ï¸¶ÍýŪ¤Ë¤Ï¡¤
+
+\begin{eqnarray}
+       \begin{pmatrix}
+               \vZERO & -\vspt_1 & {y''}_1 \vspt_1  \\
+               \vspt_1 & \vZERO & - {x''}_1 \vspt_1 \\
+               \vZERO & -\vspt_2 & {y''}_2 \vspt_2  \\
+               \vspt_2 & \vZERO & - {x''}_2 \vspt_2 \\
+               \vZERO & -\vspt_3 & {y''}_3 \vspt_3  \\
+               \vspt_3 & \vZERO & - {x''}_3 \vspt_3 \\
+               \vZERO & -\vspt_4 & {y''}_4 \vspt_4  \\
+               \vspt_4 & \vZERO & - {x''}_4 \vspt_4 \\
+       \end{pmatrix}
+       \begin{pmatrix}
+               H_{11} \\       
+               H_{12} \\       
+               H_{13} \\       
+               H_{21} \\       
+               H_{22} \\       
+               H_{23} \\       
+               H_{31} \\       
+               H_{32} \\       
+       \end{pmatrix}
+       = \vZERO
+\end{eqnarray}
+
+
+¤ò²ò¤¯¤³¤È¤Çµá¤á¤ë¤³¤È¤¬¤Ç¤­¤ë¡Ê$H_{33}$¤ò1¤ÈÃÖ¤¤¤¿¾ì¹ç¡Ë¡¥
+
+\if 0
+\begin{equation}
+\begin{pmatrix}
+\theta \\
+y \\
+\end{pmatrix}
+=
+\begin{pmatrix}
+\frac{2\pi}{w} & 0 \\
+0 & 1 \\
+\end{pmatrix}
+\begin{pmatrix}
+x \\
+y \\
+\end{pmatrix}
+\end{equation}
+
+\begin{equation}
+\theta = {\rm tan}^{-1} \frac{x^\prime}{d_0} + \theta_{ {\rm offset}}
+r^\prime = \frac{r}{ \cos(\theta_\Delta + \theta_x) }
+y = \frac{r}{\sqrt{ {d_0}^2 + x^2 } } y^\prime
+x = \ \frac{w}{2\pi} \left( {\rm tan}^{-1} \frac{x^\prime}{d_0} + \theta_{ {\rm offset}} \right)
+y = \frac{r}{\sqrt{ {d_0}^2 + x^2 } } y^\prime
+y = \frac{r}{d}y^\prime
+\end{equation}
+\fi
+
+
+
+\end{document}
diff --git a/latex/M2/siryou/3/main.toc b/latex/M2/siryou/3/main.toc
new file mode 100644 (file)
index 0000000..beed2fb
--- /dev/null
@@ -0,0 +1,13 @@
+\contentsline {chapter}{\numberline {Âè1¾Ï}Åê±Æ¤Î¥â¥Ç¥ë}{2}
+\contentsline {section}{\numberline {1.1}¥Ô¥ó¥Û¡¼¥ë¥«¥á¥é¥â¥Ç¥ë}{2}
+\contentsline {subsection}{\numberline {1.1.1}¥«¥á¥é¤ÎÆâÉô¥Ñ¥é¥á¡¼¥¿}{2}
+\contentsline {section}{\numberline {1.2}Ãæ¿´Åê±Æ}{3}
+\contentsline {chapter}{\numberline {Âè2¾Ï}¼êË¡}{4}
+\contentsline {section}{\numberline {2.1}Á´¼þ²èÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹}{4}
+\contentsline {subsection}{\numberline {2.1.1}¥«¥á¥éÅê±ÆÌ̤ηèÄê}{4}
+\contentsline {subsubsection}{¾ÇÅÀµ÷Î¥}{4}
+\contentsline {subsubsection}{Éý¤È¹â¤µ}{5}
+\contentsline {subsection}{\numberline {2.1.2}Á´¼þ²èÁü¤«¤é¥«¥á¥é¤ÎÅê±ÆÁü¤Ø¤ÎÊÑ´¹}{5}
+\contentsline {subsubsection}{$\theta $¤Î·×»»}{5}
+\contentsline {subsubsection}{$y$¤Î·×»»}{7}
+\contentsline {subsection}{\numberline {2.1.3}¥«¥á¥é¤ÎÅê±ÆÁü¤«¤é¥³¥ó¥Æ¥ó¥Ä²èÁü¤Ø¤ÎÊÑ´¹}{7}
diff --git a/latex/M2/siryou/3/settings.aux b/latex/M2/siryou/3/settings.aux
new file mode 100644 (file)
index 0000000..d5a4d30
--- /dev/null
@@ -0,0 +1,23 @@
+\relax 
+\@setckpt{settings}{
+\setcounter{page}{1}
+\setcounter{equation}{0}
+\setcounter{enumi}{0}
+\setcounter{enumii}{0}
+\setcounter{enumiii}{0}
+\setcounter{enumiv}{0}
+\setcounter{footnote}{0}
+\setcounter{mpfootnote}{0}
+\setcounter{@paper}{1}
+\setcounter{part}{0}
+\setcounter{chapter}{0}
+\setcounter{section}{0}
+\setcounter{subsection}{0}
+\setcounter{subsubsection}{0}
+\setcounter{paragraph}{0}
+\setcounter{subparagraph}{0}
+\setcounter{figure}{0}
+\setcounter{table}{0}
+\setcounter{parentequation}{0}
+\setcounter{lstnumber}{1}
+}
diff --git a/latex/M2/siryou/3/settings.tex b/latex/M2/siryou/3/settings.tex
new file mode 100644 (file)
index 0000000..8b2271a
--- /dev/null
@@ -0,0 +1,29 @@
+\usepackage[dvips]{graphicx,psfrag}
+\usepackage{url}
+\usepackage{amsmath}
+\usepackage{psfrag}
+\usepackage{fancyhdr}
+\usepackage{bm}
+\usepackage[mathscr]{eucal}
+\usepackage{mathvec}
+\usepackage{multirow}
+\usepackage{multicol}
+\usepackage{listings,jlisting}
+\usepackage[hscale=0.8,vscale=0.85,top=2cm]{geometry}
+\renewcommand{\lstlistingname}{¥ê¥¹¥È}
+\lstset{language=c++,
+  basicstyle=\ttfamily\scriptsize,
+  commentstyle=\textit,
+  classoffset=1,
+  keywordstyle=\bfseries,
+  frame=tRBl,
+  framesep=5pt,
+  showstringspaces=false,
+  numbers=left,
+  stepnumber=1,
+  numberstyle=\tiny,
+  tabsize=2
+}
+
+\bibliographystyle{ieice}
+