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author | Karl Berry <karl@freefriends.org> | 2006-01-09 00:44:40 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2006-01-09 00:44:40 +0000 |
commit | b4fc5f639874db951177ec539299d20908adb654 (patch) | |
tree | 52f08823ca58fffe3db6a9b075635038c567626c /Master/texmf-dist/doc/latex/dcpic/examples.tex | |
parent | dec3d98ebe442d7ea93efbaa8dd2e2be8149a467 (diff) |
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diff --git a/Master/texmf-dist/doc/latex/dcpic/examples.tex b/Master/texmf-dist/doc/latex/dcpic/examples.tex new file mode 100644 index 00000000000..2c1c94cc603 --- /dev/null +++ b/Master/texmf-dist/doc/latex/dcpic/examples.tex @@ -0,0 +1,634 @@ +\documentclass[a4paper]{article} +\usepackage{pictexwd,dcpic} + +\voffset=-2cm +\hoffset=-1cm +\addtolength{\textwidth}{2cm} +\addtolength{\textheight}{4cm} + +\newcommand{\barraA}{\vrule height2em width0em depth0em} +\newcommand{\barraB}{\vrule height1.6em width0em depth0em} + +\begin{document} +\begin{center} + DCpic - Examples +\end{center} + + +\paragraph{Commutative Diagrams --- Curved arrows.} A rectangular +curve with rounded corners is easy to specify and should cater for +most needs. With this in mind we give the following tip to the user: +to specify a rectangular, with rounded corners, curve we choose the +points which give us the {\em expanded chess-horse movement}, that is, +$(x,y)$, $(x\pm4,y\mp1)$, $(x\mp1,y\pm4)$, or $(x,y)$,$(x\pm1,y\mp4)$, +$(x\mp4,y\pm1)$, those sets of points will give us the four corners of +the rectangle; to form the whole line it is only necessary to add an +odd number of points joining the two (or more) corners. + +{\footnotesize +\begin{verbatim} +\begindc{\commdiag}[2] +\cmor((10,20)(6,21)(5,25)) \pup(5,15){$x$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[3] +\cmor((10,20)(6,21)(5,25)) \pup(5,15){$x$} +\enddc +$$ + +{\footnotesize +\begin{verbatim} +\begindc{\commdiag}[3] +\obj(10,15){$A$} +\obj(40,15)[Al]{$A$} +\obj(25,15){$B$} +\mor{$A$}{$B$}{$f$} +\mor{$B$}{Al}{$g$} +\cmor((10,11)(11,7)(15,6)(25,6)(35,6)(39,7)(40,11)) \pup(25,3){$id_A$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[3] +\obj(10,15){$A$} +\obj(40,15)[Al]{$A$} +\obj(25,15){$B$} +\mor{$A$}{$B$}{$f$} +\mor{$B$}{Al}{$g$} +\cmor((10,11)(11,7)(15,6)(25,6)(35,6)(39,7)(40,11)) \pup(25,3){$id_A$} +\enddc +$$ + +{\footnotesize +\begin{verbatim} +\begindc{\commdiag}[3] +\obj(14,11){$A$} +\obj(39,11){$B$} +\mor(14,12)(39,12){$f$} +\mor(39,10)(14,10){$g$} +\cmor((10,10)(6,11)(5,15)(6,19)(10,20)(14,19)(15,15)) \pdown(2,20){$id_A$} +\cmor((40,7)(41,3)(45,2)(49,3)(50,7)(49,11)(45,12)) \pleft(54,3){$id_B$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[3] +\obj(14,11){$A$} +\obj(39,11){$B$} +\mor(14,12)(39,12){$f$} +\mor(39,10)(14,10){$g$} +\cmor((10,10)(6,11)(5,15)(6,19)(10,20)(14,19)(15,15)) \pdown(2,20){$id_A$} +\cmor((40,7)(41,3)(45,2)(49,3)(50,7)(49,11)(45,12)) \pleft(54,3){$id_B$} +\enddc +$$ + + +{\footnotesize +\begin{verbatim} +\begindc{\commdiag}[3] +\obj(10,18){$A$} +\obj(40,18){$B$} +\cmor((10,20)(15,25)(20,20)(25,15)(30,20)(35,25)(40,20)) +\pdown(25,12){$f$}[2] +\cmor((10,15)(15,10)(20,15)(25,20)(30,15)(35,10)(40,15)) +\pup(25,22){$g$}[2] +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[3] +\obj(10,18){$A$} +\obj(40,18){$B$} +\cmor((10,20)(15,25)(20,20)(25,15)(30,20)(35,25)(40,20)) +\pdown(25,12){$f$}[2] +\cmor((10,15)(15,10)(20,15)(25,20)(30,15)(35,10)(40,15)) +\pup(25,22){$g$}[2] +\enddc +$$ + + +\vfill +\pagebreak + + +\paragraph{Commutative Diagrams --- Size Adjusting.} With the new +version (v4.1) two new features are introduced, relative specification +``mor{objSum}{objB}'' instead of ``mor(1,3)(4,5)'', and the arrows now +automatically adjust their size to the object's box size. + + + +{\scriptsize +\begin{verbatim} +\begindc{\commdiag} +\obj(1,3)[objSum]{$\displaystyle \sum_{k=2}^n \left\lfloor\frac{\phi(k)}{k-1}\right\rfloor}$} +\obj(4,5)[objB]{$B$} +\obj(4,3)[objA]{$A$} +\obj(4,1)[objBp]{$B$} +\mor{objSum}{objB}{$f$} +\mor{objB}{objA}{$g$} +\mor{objSum}{objA}{$f\circ g$}[\atright,\solidarrow] +\mor{objSum}{objBp}{$f$}[\atright,\solidarrow] +\mor{objA}{objBp}{$g$}[\atright,\solidarrow] +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag} +\obj(1,3)[objSum]{$\displaystyle \sum_{k=2}^n \left\lfloor\frac{\phi(k)}{k-1}\right\rfloor$} +\obj(4,5)[objB]{$B$} +\obj(4,3)[objA]{$A$} +\obj(4,1)[objBp]{$B$} +\mor{objSum}{objB}{$f$} +\mor{objB}{objA}{$g$} +\mor{objSum}{objA}{$f\circ g$}[\atright,\solidarrow] +\mor{objSum}{objBp}{$f$}[\atright,\solidarrow] +\mor{objA}{objBp}{$g$}[\atright,\solidarrow] +\enddc +$$ + + +{\scriptsize +\begin{verbatim} +\begindc{\commdiag} +\obj(10,10)[A]{$OOOOOO$}\obj(15,10)[Aa]{$XXXX$}\obj(14,11)[Ab]{$XXXX$} +\obj(13,12)[Ac]{$XXXX$}\obj(12,13)[Ad]{$XXXX$}\obj(11,14)[Ae]{$XXXX$} +\obj(10,15)[Af]{$XXXX$}\obj(9,14)[Ag]{$BBBB$}\obj(8,13)[Ah]{$XXXX$} +\obj(7,12)[Ai]{$XXXX$}\obj(6,11)[Aj]{$XXXX$}\obj(5,10)[Ak]{$XXXX$} +\obj(6,9)[Al]{$XXXX$}\obj(7,8)[Am]{$XXXX$}\obj(8,7)[An]{$BBBB$} +\obj(9,6)[Ao]{$CCCC$}\obj(10,5)[Ap]{$DDDD$}\obj(11,6)[Aq]{$EEEE$} +\obj(12,7)[Ar]{$EEEE$}\obj(13,8)[As]{$EEEE$}\obj(14,9)[At]{$EEEE$} +\mor{A}{Aa}{$a1$}\mor{A}{Ab}{$a2$}\mor{A}{Ac}{$a3$}\mor{A}{Ad}{$a4$} +\mor{A}{Ae}{$a5$}\mor{A}{Af}{$a6$}\mor{A}{Ag}{$a7$}\mor{A}{Ah}{$a8$} +\mor{A}{Ai}{$a9$}\mor{A}{Aj}{$a10$}\mor{A}{Ak}{$a11$}\mor{A}{Al}{$a12$} +\mor{A}{Am}{$a13$}\mor{A}{An}{$a14$}\mor{A}{Ao}{$a15$}\mor{A}{Ap}{$a16$} +\mor{A}{Aq}{$a17$}\mor{A}{Ar}{$a18$}\mor{A}{As}{$a19$}\mor{A}{At}{$a20$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[29] +\obj(10,10)[A]{$OOOOOO$}\obj(15,10)[Aa]{$XXXX$}\obj(14,11)[Ab]{$XXXX$} +\obj(13,12)[Ac]{$XXXX$}\obj(12,13)[Ad]{$XXXX$}\obj(11,14)[Ae]{$XXXX$} +\obj(10,15)[Af]{$XXXX$}\obj(9,14)[Ag]{$BBBB$}\obj(8,13)[Ah]{$XXXX$} +\obj(7,12)[Ai]{$XXXX$}\obj(6,11)[Aj]{$XXXX$}\obj(5,10)[Ak]{$XXXX$} +\obj(6,9)[Al]{$XXXX$}\obj(7,8)[Am]{$XXXX$}\obj(8,7)[An]{$BBBB$} +\obj(9,6)[Ao]{$CCCC$}\obj(10,5)[Ap]{$DDDD$}\obj(11,6)[Aq]{$EEEE$} +\obj(12,7)[Ar]{$EEEE$}\obj(13,8)[As]{$EEEE$}\obj(14,9)[At]{$EEEE$} +\mor{A}{Aa}{$a1$}\mor{A}{Ab}{$a2$}\mor{A}{Ac}{$a3$}\mor{A}{Ad}{$a4$} +\mor{A}{Ae}{$a5$}\mor{A}{Af}{$a6$}\mor{A}{Ag}{$a7$}\mor{A}{Ah}{$a8$} +\mor{A}{Ai}{$a9$}\mor{A}{Aj}{$a10$}\mor{A}{Ak}{$a11$}\mor{A}{Al}{$a12$} +\mor{A}{Am}{$a13$}\mor{A}{An}{$a14$}\mor{A}{Ao}{$a15$}\mor{A}{Ap}{$a16$} +\mor{A}{Aq}{$a17$}\mor{A}{Ar}{$a18$}\mor{A}{As}{$a19$}\mor{A}{At}{$a20$} +\enddc +$$ + +\vfill +\pagebreak + + +\paragraph{Commutative Diagrams --- A Complex Diagram} + +{\scriptsize +\begin{verbatim} +\begindc{\commdiag}[35] +\obj(1,1)[Gr]{$G$} +\obj(3,1)[Grstar]{$G_{r^*}$} +\obj(5,1)[H]{$H$} +\obj(2,2)[SigmaG]{$\Sigma^G$} +\obj(6,2)[SigmaH]{$\Sigma^H$} +\obj(1,3)[Lm]{$L_m$} +\obj(3,3)[Krm]{$K_{r,m}$} +\obj(5,3)[Rmstar]{$R_{m^*}$} +\obj(1,5)[L]{$L$} +\obj(3,5)[Lr]{$L_r$} +\obj(5,5)[R]{$R$} +\obj(2,6)[SigmaL]{$\Sigma^L$} +\obj(6,6)[SigmaR]{$\Sigma^R$} +\mor{Gr}{SigmaG}{$\lambda^G$} +\mor{Grstar}{Gr}{$i_5$}[\atleft,\aplicationarrow] +\mor{Grstar}{H}{$r^*$}[\atright,\solidarrow] +\mor{H}{SigmaH}{$\lambda^H$}[\atright,\dasharrow] +\mor{SigmaG}{SigmaH}{$\varphi^{r^*}$}[\atright,\solidarrow] +\mor{Lm}{Gr}{$m$}[\atright,\solidarrow] +\mor{Lm}{L}{$i_2$}[\atleft,\aplicationarrow] +\mor{Krm}{Lm}{$i_3\quad$}[\atright,\aplicationarrow] +\mor{Krm}{Rmstar}{$r$} +\mor{Krm}{Lr}{$i_4$}[\atright,\aplicationarrow] +\mor{Krm}{Grstar}{$m$} +\mor{Rmstar}{R}{$i_6$}[\atright,\aplicationarrow] +\mor{Rmstar}{H}{$m^*$} +\mor{L}{SigmaL}{$\lambda^L$} +\mor{Lr}{L}{$i_1\quad$}[\atright,\aplicationarrow] +\mor{Lr}{R}{$r$} +\mor{R}{SigmaR}{$\lambda^R$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaG}{$\varphi^m$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaR}{$\varphi^r$} +\mor{SigmaR}{SigmaH}{$\varphi^{m^*}$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[35] +\obj(1,1)[Gr]{$G$} +\obj(3,1)[Grstar]{$G_{r^*}$} +\obj(5,1)[H]{$H$} +\obj(2,2)[SigmaG]{$\Sigma^G$} +\obj(6,2)[SigmaH]{$\Sigma^H$} +\obj(1,3)[Lm]{$L_m$} +\obj(3,3)[Krm]{$K_{r,m}$} +\obj(5,3)[Rmstar]{$R_{m^*}$} +\obj(1,5)[L]{$L$} +\obj(3,5)[Lr]{$L_r$} +\obj(5,5)[R]{$R$} +\obj(2,6)[SigmaL]{$\Sigma^L$} +\obj(6,6)[SigmaR]{$\Sigma^R$} +\mor{Gr}{SigmaG}{$\lambda^G$} +\mor{Grstar}{Gr}{$i_5$}[\atleft,\aplicationarrow] +\mor{Grstar}{H}{$r^*$}[\atright,\solidarrow] +\mor{H}{SigmaH}{$\lambda^H$}[\atright,\dasharrow] +\mor{SigmaG}{SigmaH}{$\varphi^{r^*}$}[\atright,\solidarrow] +\mor{Lm}{Gr}{$m$}[\atright,\solidarrow] +\mor{Lm}{L}{$i_2$}[\atleft,\aplicationarrow] +\mor{Krm}{Lm}{$i_3\quad$}[\atright,\aplicationarrow] +\mor{Krm}{Rmstar}{$r$} +\mor{Krm}{Lr}{$i_4$}[\atright,\aplicationarrow] +\mor{Krm}{Grstar}{$m$} +\mor{Rmstar}{R}{$i_6$}[\atright,\aplicationarrow] +\mor{Rmstar}{H}{$m^*$} +\mor{L}{SigmaL}{$\lambda^L$} +\mor{Lr}{L}{$i_1\quad$}[\atright,\aplicationarrow] +\mor{Lr}{R}{$r$} +\mor{R}{SigmaR}{$\lambda^R$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaG}{$\varphi^m$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaR}{$\varphi^r$} +\mor{SigmaR}{SigmaH}{$\varphi^{m^*}$} +\enddc +$$ + +\vfill +\pagebreak + + +\vfill +\pagebreak + +{\scriptsize +\begin{verbatim} +\begindc{\commdiag}[4] +\obj(10,10){$G$}[Gr] +\obj(30,10){$G_{r^*}$}[Grstar] +\obj(50,10){$H$}[H] +\obj(20,20){$\Sigma^G$}[SigmaG] +\obj(60,20){$\Sigma^H$}[SigmaH] +\obj(10,30){$L_m$}[Lm] +\obj(30,30){$K_{r,m}$}[Krm] +\obj(50,30){$R_{m^*}$}[Rmstar] +\obj(10,50){$L$}[L] +\obj(30,50){$L_r$}[Lr] +\obj(50,50){$R$}[R] +\obj(20,60){$\Sigma^L$}[SigmaL] +\obj(60,60){$\Sigma^R$}[SigmaR] +\mor{Gr}{SigmaG}{$\lambda^G$} +\mor{Grstar}{Gr}{$i_5$}[\atleft,\aplicationarrow] +\mor{Grstar}{H}{$r^*$}[\atright,\solidarrow] +\mor{H}{SigmaH}{$\lambda^H$}[\atright,\dasharrow] +\mor{SigmaG}{SigmaH}{$\varphi^{r^*}$}[\atright,\solidarrow] +\mor{Lm}{Gr}{$m$}[\atright,\solidarrow] +\mor{Lm}{L}{$i_2$}[\atleft,\aplicationarrow] +\mor{Krm}{Lm}{$i_3\quad$}[\atright,\aplicationarrow] +\mor{Krm}{Rmstar}{$r$} +\mor{Krm}{Lr}{$i_4$}[\atright,\aplicationarrow] +\mor{Krm}{Grstar}{$m$} +\mor{Rmstar}{R}{$i_6$}[\atright,\aplicationarrow] +\mor{Rmstar}{H}{$m^*$} +\mor{L}{SigmaL}{$\lambda^L$} +\mor{Lr}{L}{$i_1\quad$}[\atright,\aplicationarrow] +\mor{Lr}{R}{$r$} +\mor{R}{SigmaR}{$\lambda^R$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaG}{$\varphi^m$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaR}{$\varphi^r$} +\mor{SigmaR}{SigmaH}{$\varphi^{m^*}$} +\cmor((10,7)(11,3)(15,2)(40,2)(65,2)(69,3)(70,7)(70,10)(70,14)(69,18)(65,19)) +\pleft(75,10){$\varphi^{r^*}\lambda^G$} +\cmor((10,53)(10,58)(10,63)(11,67)(15,68)(45,68)(65,68)(69,67)(70,63)(70,44)(70,25)(69,21)(65,20)) +\pleft(76,40){$\varphi^{m^*}\varphi^r\lambda^L$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[4] +\obj(10,10)[Gr]{$G$} +\obj(30,10)[Grstar]{$G_{r^*}$} +\obj(50,10)[H]{$H$} +\obj(20,20)[SigmaG]{$\Sigma^G$} +\obj(60,20)[SigmaH]{$\Sigma^H$} +\obj(10,30)[Lm]{$L_m$} +\obj(30,30)[Krm]{$K_{r,m}$} +\obj(50,30)[Rmstar]{$R_{m^*}$} +\obj(10,50)[L]{$L$} +\obj(30,50)[Lr]{$L_r$} +\obj(50,50)[R]{$R$} +\obj(20,60)[SigmaL]{$\Sigma^L$} +\obj(60,60)[SigmaR]{$\Sigma^R$} +\mor{Gr}{SigmaG}{$\lambda^G$} +\mor{Grstar}{Gr}{$i_5$}[\atleft,\aplicationarrow] +\mor{Grstar}{H}{$r^*$}[\atright,\solidarrow] +\mor{H}{SigmaH}{$\lambda^H$}[\atright,\dasharrow] +\mor{SigmaG}{SigmaH}{$\varphi^{r^*}$}[\atright,\solidarrow] +\mor{Lm}{Gr}{$m$}[\atright,\solidarrow] +\mor{Lm}{L}{$i_2$}[\atleft,\aplicationarrow] +\mor{Krm}{Lm}{$i_3\quad$}[\atright,\aplicationarrow] +\mor{Krm}{Rmstar}{$r$} +\mor{Krm}{Lr}{$i_4$}[\atright,\aplicationarrow] +\mor{Krm}{Grstar}{$m$} +\mor{Rmstar}{R}{$i_6$}[\atright,\aplicationarrow] +\mor{Rmstar}{H}{$m^*$} +\mor{L}{SigmaL}{$\lambda^L$} +\mor{Lr}{L}{$i_1\quad$}[\atright,\aplicationarrow] +\mor{Lr}{R}{$r$} +\mor{R}{SigmaR}{$\lambda^R$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaG}{$\varphi^m$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaR}{$\varphi^r$} +\mor{SigmaR}{SigmaH}{$\varphi^{m^*}$} +\cmor((10,7)(11,3)(15,2)(40,2)(65,2)(69,3)(70,7)(70,10)(70,14)(69,18)(65,19)) +\pleft(75,10){$\varphi^{r^*}\lambda^G$} +\cmor((10,53)(10,58)(10,63)(11,67)(15,68)(45,68)(65,68)(69,67)(70,63)(70,44)(70,25)(69,21)(65,20)) \pleft(76,40){$\varphi^{m^*}\varphi^r\lambda^L$} +\enddc +$$ + +\vfill +\pagebreak + +{\scriptsize +\begin{verbatim} +\begindc{\commdiag}[4] +\obj(10,10)[Gr]{$G$} +\obj(30,10)[Grstar]{$G_{r^*}$} +\obj(50,10)[H]{$H$} +\obj(20,20)[SigmaG]{$\Sigma^G$} +\obj(60,20)[SigmaH]{$\Sigma^H$} +\obj(10,30)[Lm]{$L_m$} +\obj(30,30)[Krm]{$K_{r,m}$} +\obj(50,30)[Rmstar]{$R_{m^*}$} +\obj(10,50)[L]{$L$} +\obj(30,50)[Lr]{$L_r$} +\obj(50,50)[R]{$R$} +\obj(20,60)[SigmaL]{$\Sigma^L$} +\obj(60,60)[SigmaR]{$\Sigma^R$} +\mor{Gr}{SigmaG}{$\lambda^G$} +\mor{Grstar}{Gr}{$i_5$}[\atleft,\aplicationarrow] +\mor{Grstar}{H}{$r^*$}[\atright,\solidarrow] +\mor{H}{SigmaH}{$\lambda^H$}[\atright,\dasharrow] +\mor{SigmaG}{SigmaH}{$\varphi^{r^*}$}[\atright,\solidarrow] +\mor{Lm}{Gr}{$m$}[\atright,\solidarrow] +\mor{Lm}{L}{$i_2$}[\atleft,\aplicationarrow] +\mor{Krm}{Lm}{$i_3\quad$}[\atright,\aplicationarrow] +\mor{Krm}{Rmstar}{$r$} +\mor{Krm}{Lr}{$i_4$}[\atright,\aplicationarrow] +\mor{Krm}{Grstar}{$m$} +\mor{Rmstar}{R}{$i_6$}[\atright,\aplicationarrow] +\mor{Rmstar}{H}{$m^*$} +\mor{L}{SigmaL}{$\lambda^L$} +\mor{Lr}{L}{$i_1\quad$}[\atright,\aplicationarrow] +\mor{Lr}{R}{$r$} +\mor{R}{SigmaR}{$\lambda^R$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaG}{$\varphi^m$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaR}{$\varphi^r$} +\mor{SigmaR}{SigmaH}{$\varphi^{m^*}$} +\cmor((10,7)(11,3)(15,2)(33,2)(53,2)(56,3)(61,8)(66,13)(69,16)(69,18)(65,19)) +\pleft(75,10){$\varphi^{r^*}\lambda^G$} +\cmor((10,53)(10,54)(10,55)(11,59)(15,64)(19,67)(23,68)(44,68)(65,68)(69,67)(70,63)(70,44)(70,25)(69,21)(65,20)) +\pleft(76,40){$\varphi^{m^*}\varphi^r\lambda^L$} +\enddc +\end{verbatim} +} + +$$ +\begindc{\commdiag}[4] +\obj(10,10)[Gr]{$G$} +\obj(30,10)[Grstar]{$G_{r^*}$} +\obj(50,10)[H]{$H$} +\obj(20,20)[SigmaG]{$\Sigma^G$} +\obj(60,20)[SigmaH]{$\Sigma^H$} +\obj(10,30)[Lm]{$L_m$} +\obj(30,30)[Krm]{$K_{r,m}$} +\obj(50,30)[Rmstar]{$R_{m^*}$} +\obj(10,50)[L]{$L$} +\obj(30,50)[Lr]{$L_r$} +\obj(50,50)[R]{$R$} +\obj(20,60)[SigmaL]{$\Sigma^L$} +\obj(60,60)[SigmaR]{$\Sigma^R$} +\mor{Gr}{SigmaG}{$\lambda^G$} +\mor{Grstar}{Gr}{$i_5$}[\atleft,\aplicationarrow] +\mor{Grstar}{H}{$r^*$}[\atright,\solidarrow] +\mor{H}{SigmaH}{$\lambda^H$}[\atright,\dasharrow] +\mor{SigmaG}{SigmaH}{$\varphi^{r^*}$}[\atright,\solidarrow] +\mor{Lm}{Gr}{$m$}[\atright,\solidarrow] +\mor{Lm}{L}{$i_2$}[\atleft,\aplicationarrow] +\mor{Krm}{Lm}{$i_3\quad$}[\atright,\aplicationarrow] +\mor{Krm}{Rmstar}{$r$} +\mor{Krm}{Lr}{$i_4$}[\atright,\aplicationarrow] +\mor{Krm}{Grstar}{$m$} +\mor{Rmstar}{R}{$i_6$}[\atright,\aplicationarrow] +\mor{Rmstar}{H}{$m^*$} +\mor{L}{SigmaL}{$\lambda^L$} +\mor{Lr}{L}{$i_1\quad$}[\atright,\aplicationarrow] +\mor{Lr}{R}{$r$} +\mor{R}{SigmaR}{$\lambda^R$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaG}{$\varphi^m$}[\atright,\solidarrow] +\mor{SigmaL}{SigmaR}{$\varphi^r$} +\mor{SigmaR}{SigmaH}{$\varphi^{m^*}$} +\cmor((10,7)(11,3)(15,2)(33,2)(53,2)(56,3)(61,8)(66,13)(69,16)(69,18)(65,19)) +\pleft(75,10){$\varphi^{r^*}\lambda^G$} +\cmor((10,53)(10,54)(10,55)(11,59)(15,64)(19,67)(23,68)(44,68)(65,68)(69,67)(70,63)(70,44)(70,25)(69,21)(65,20)) +\pleft(76,40){$\varphi^{m^*}\varphi^r\lambda^L$} +\enddc +$$ + +\vfill +\pagebreak + +\paragraph{Undirected Graphs --- Magnification factor,} the +magnification factor gives us the capability of adapting the size of +the graph to the available space, without having to redesign the +graph, for example the specification of the next two graphs differs +only in the magnification factor: 20 for the first; and 16 for the +second. + +\begin{center} + \begin{tabular}{cc} + \begindc{\undigraph}[20] + \obj(1,1)[1]{} + \obj(3,2)[2]{} + \obj(5,1)[3]{} + \obj(3,4)[4]{} + \mor{1}{2}{} + \mor{1}{3}{} + \mor{2}{3}{} + \mor{4}{1}{} + \mor{4}{3}{} + \mor{2}{4}{} + \enddc &\qquad + \begindc{\undigraph}[16] + \obj(1,1)[1]{} + \obj(3,2)[2]{} + \obj(5,1)[3]{} + \obj(3,4)[4]{} + \mor{1}{2}{} + \mor{1}{3}{} + \mor{2}{3}{} + \mor{4}{1}{} + \mor{4}{3}{} + \mor{2}{4}{} + \enddc + \end{tabular} +\end{center} + +{\scriptsize +\begin{verbatim} + \begindc{\undigraph}[20] \begindc{\undigraph}[16] + \obj(1,1)[1]{} \obj(1,1)[1]{} + \obj(3,2)[2]{} \obj(3,2)[2]{} + \obj(5,1)[3]{} \obj(5,1)[3]{} + \obj(3,4)[4]{} \obj(3,4)[4]{} + \mor{1}{2}{} \mor{1}{2}{} + \mor{1}{3}{} \mor{1}{3}{} + \mor{2}{3}{} \mor{2}{3}{} + \mor{4}{1}{} \mor{4}{1}{} + \mor{4}{3}{} \mor{4}{3}{} + \mor{2}{4}{} \mor{2}{4}{} + \enddc \enddc +\end{verbatim}} + +\paragraph{Undirected Graphs --- ``Around the World''} + +$$ +\begindc{\undigraph}[7] +\obj(6,4){18}[\south] +\obj(18,4){17}[\south] +\obj(8,7){11}[\west] +\obj(12,8){12}[\south] +\obj(16,7){13}[\east] +\obj(8,11){10}[\west] +\obj(10,12){6}[\northwest] +\obj(12,10){5} +\obj(14,12){4}[\northeast] +\obj(16,11){14}[\east] +\obj(2,16){19} +\obj(6,15){9} +\obj(9,16){8} +\obj(11,14){7} +\obj(13,14){3} +\obj(15,16){2} +\obj(18,15){15} +\obj(22,16){16} +\obj(12,19){1}[\northeast] +\obj(12,22){20} +\mor{18}{17}{}\mor{18}{11}{}\mor{18}{19}{} +\mor{11}{12}{}\mor{11}{10}{}\mor{12}{13}{} +\mor{12}{5}{}\mor{10}{6}{}\mor{10}{9}{} +\mor{5}{6}{}\mor{5}{4}{}\mor{13}{17}{} +\mor{13}{14}{}\mor{9}{19}{}\mor{9}{8}{} +\mor{6}{7}{}\mor{4}{3}{}\mor{4}{14}{} +\mor{19}{20}{}\mor{8}{1}{}\mor{8}{7}{} +\mor{7}{3}{}\mor{3}{2}{}\mor{2}{1}{} +\mor{2}{15}{}\mor{14}{15}{}\mor{17}{16}{} +\mor{16}{20}{}\mor{1}{20}{}\mor{15}{16}{} +\enddc +$$ +{\scriptsize +\begin{verbatim} +\begindc{\undigraph}[7] +\obj(6,4){18}[\south] +\obj(18,4){17}[\south] +\obj(8,7){11}[\west] +\obj(12,8){12}[\south] +\obj(16,7){13}[\east] +\obj(8,11){10}[\west] +\obj(10,12){6}[\northwest] +\obj(12,10){5} +\obj(14,12){4}[\northeast] +\obj(16,11){14}[\east] +\obj(2,16){19} +\obj(6,15){9} +\obj(9,16){8} +\obj(11,14){7} +\obj(13,14){3} +\obj(15,16){2} +\obj(18,15){15} +\obj(22,16){16} +\obj(12,19){1}[\northeast] +\obj(12,22){20} +\mor{18}{17}{}\mor{18}{11}{}\mor{18}{19}{} +\mor{11}{12}{}\mor{11}{10}{}\mor{12}{13}{} +\mor{12}{5}{}\mor{10}{6}{}\mor{10}{9}{} +\mor{5}{6}{}\mor{5}{4}{}\mor{13}{17}{} +\mor{13}{14}{}\mor{9}{19}{}\mor{9}{8}{} +\mor{6}{7}{}\mor{4}{3}{}\mor{4}{14}{} +\mor{19}{20}{}\mor{8}{1}{}\mor{8}{7}{} +\mor{7}{3}{}\mor{3}{2}{}\mor{2}{1}{} +\mor{2}{15}{}\mor{14}{15}{}\mor{17}{16}{} +\mor{16}{20}{}\mor{1}{20}{}\mor{15}{16}{} +\enddc +\end{verbatim}} + +\vfill +\pagebreak + + +\paragraph{Directed Graphs} + +$$ +\begindc{\digraph}[25] +\obj(1,5){A}[\west] +\obj(1,3){B}[\west] +\obj(1,1){C}[\west] +\obj(5,5){E}[\east] +\obj(5,3){F}[\east] +\obj(5,1){G}[\east] +\mor{A}{E}{5} +\mor{A}{F}{3} +\mor{B}{F}{6}[\atright,\solidarrow] +\mor{C}{E}{1} +\mor{C}{F}{5} +\mor{C}{G}{7} +\enddc +$$ + + +{\scriptsize +} +\begin{verbatim} +\begindc{\digraph}[25] +\obj(1,5){A}[\west] +\obj(1,3){B}[\west] +\obj(1,1){C}[\west] +\obj(5,5){E}[\east] +\obj(5,3){F}[\east] +\obj(5,1){G}[\east] +\mor{A}{E}{5} +\mor{A}{F}{3} +\mor{B}{F}{6}[\atright,\solidarrow] +\mor{C}{E}{1} +\mor{C}{F}{5} +\mor{C}{G}{7} +\enddc +\end{verbatim} +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: t +%%% End: |