TeX Implementation

All decisions on how to implement the PSTricks commands came from Timothy Van Zandt's PSTricks User Guide which can be found \href{http://ctan.tug.org/tex-archive/graphics/pstricks/base/doc/}{here}

pstrick docs

The very first step in creating a graphic to use the {\tt pspicture} command:

\begin{verbatim}
\begin{pspicture}(x0,y0)(x1,y1)
 % pstricks goes here
\end{pspicture}
\end{verbatim}
This will create a picture object where the lower left-hand corner is at {\tt (x0,y0)} and upper right-hand corner is at {\tt (x1,y1)} \cite[40]{pstricks}.


pspicture

{\tt psframe} will simply create a box. 

\begin{verbatim}
\begin{pspicture}(-1,-1)(2,2)
\psframe(0,0)(1,1)
\end{pspicture}
\end{verbatim}

This will create a box where the lower left-hand corner is at {\tt (x0,y0)} and upper right-hand corner is at {\tt (x1,y1)}:

\begin{center}
\begin{pspicture}(-1,-1)(2,2)
\psframe(0,0)(1,1)
\end{pspicture}
\end{center}

psframe

The {\tt psplot} command is powerful. This allows you to create graphs.


{\bf An important note: } if you want your work to work on {\it both} Web and paper, you must specify {\tt algebraic} in the parameters. This platform actually uses JavaScript syntax for evaluating the formulae, which is almost identical to the syntax used normally.


\psset{unit=0.5}
\begin{center}
\begin{pspicture}(-13,-1.25)(13,3)

\psplot[algebraic,linewidth=1.5pt,plotpoints=1000]{-12.56}{12.56}{2*sin(x)/x}
\psaxes[showorigin=false,labels=none, Dx=3.14](0,0)(-12.6,0)(12.6,0)
\rput(5.7, 1){$a/b$}
\psline[linestyle=dashed](0,2)(5,2)
\psline{<->}(5,0)(5,2)
\rput(3.14, -0.5){$\frac{\pi}{a}$}
\rput(6.28, -0.5){$\frac{2\pi}{a}$}
\rput(9.42, -0.5){$\frac{3\pi}{a}$}
\rput(12.56, -0.5){$\frac{4\pi}{a}$}
\rput(-3.14, -0.5){$\frac{-\pi}{a}$}
\rput(-6.28, -0.5){$\frac{-2\pi}{a}$}
\rput(-9.42, -0.5){$\frac{-3\pi}{a}$}
\rput(-12.56, -0.5){$\frac{-4\pi}{a}$}
\rput(0, -0.5){$0$}

% begin x-axis labels:
\psline(-6.2831853, -0.1)(-6.2831853, 0.1)
\psline(-4.712388975, -0.1)(-4.712388975, 0.1)
\psline(-3.14159265, -0.1)(-3.14159265, 0.1)
\psline(-1.570796325, -0.1)(-1.570796325, 0.1)
\psline(0, -0.1)(0, 0.1)
\psline(1.570796325, -0.1)(1.570796325, 0.1)
\psline(3.14159265, -0.1)(3.14159265, 0.1)
\psline(4.712388975, -0.1)(4.712388975, 0.1)
\psline(6.2831853, -0.1)(6.2831853, 0.1)
% end x-axis labels:


\end{pspicture}
\end{center}


\begin{verbatim}
\begin{pspicture}(-13,-1.25)(13,3)
\psplot[algebraic,linewidth=1.5pt,plotpoints=1000]{-12.56}{12.56}{2*sin(x)/x}
\psaxes[showorigin=false,labels=none, Dx=3.14](0,0)(-12.6,0)(12.6,0)
\rput(5.7, 1){$a/b$}
\psline[linestyle=dashed](0,2)(5,2)
\psline{<->}(5,0)(5,2)
\rput(3.14, -0.5){$\frac{\pi}{a}$}
\rput(6.28, -0.5){$\frac{2\pi}{a}$}
\rput(9.42, -0.5){$\frac{3\pi}{a}$}
\rput(12.56, -0.5){$\frac{4\pi}{a}$}
\rput(-3.14, -0.5){$\frac{-\pi}{a}$}
\rput(-6.28, -0.5){$\frac{-2\pi}{a}$}
\rput(-9.42, -0.5){$\frac{-3\pi}{a}$}
\rput(-12.56, -0.5){$\frac{-4\pi}{a}$}
\rput(0, -0.5){$0$}
\psline(-6.2831853, -0.1)(-6.2831853, 0.1)
\psline(-4.712388975, -0.1)(-4.712388975, 0.1)
\psline(-3.14159265, -0.1)(-3.14159265, 0.1)
\psline(-1.570796325, -0.1)(-1.570796325, 0.1)
\psline(0, -0.1)(0, 0.1)
\psline(1.570796325, -0.1)(1.570796325, 0.1)
\psline(3.14159265, -0.1)(3.14159265, 0.1)
\psline(4.712388975, -0.1)(4.712388975, 0.1)
\psline(6.2831853, -0.1)(6.2831853, 0.1)
\end{pspicture}
\end{verbatim}



\begin{center}
\psset{xunit=1,yunit=2}
\begin{pspicture}(-8,-2)(8,2)
    

\psplot[algebraic,linewidth=2pt,fillstyle=solid, fillcolor=lightblue]{-3.14}{3.14}{sin(x)}
\psplot[algebraic,linewidth=2pt]{-6.2831}{6.2831}{sin(x)}

% function name
\rput(6.2831853,1.3){$\left|H(\omega)\right|$}

% x-axis
\psline(-6.6831853, 0)(6.6831853, 0)
\rput(6.6831853,-0.3){$\omega$}

% begin x-axis labels:
\psline(-6.2831853, -0.1)(-6.2831853, 0.1)
\rput(-6.2831853, -0.3){$-2\pi$}
\psline(-4.712388975, -0.1)(-4.712388975, 0.1)
\rput(-4.712388975, -0.3){$-\frac{3\pi}{2}$}
\psline(-3.14159265, -0.1)(-3.14159265, 0.1)
\rput(-3.14159265, -0.3){$-\pi$}
\psline(-1.570796325, -0.1)(-1.570796325, 0.1)
\rput(-1.570796325, -0.3){$-\frac{\pi}{2}$}
\psline(0, -0.1)(0, 0.1)
\rput(0, -0.3){$0$}
\psline(1.570796325, -0.1)(1.570796325, 0.1)
\rput(1.570796325, -0.3){$\frac{\pi}{2}$}
\psline(3.14159265, -0.1)(3.14159265, 0.1)
\rput(3.14159265, -0.3){$\pi$}
\psline(4.712388975, -0.1)(4.712388975, 0.1)
\rput(4.712388975, -0.3){$\frac{3\pi}{2}$}
\psline(6.2831853, -0.1)(6.2831853, 0.1)
\rput(6.2831853, -0.3){$2\pi$}
% end x-axis labels:
\end{pspicture}
\end{center}

\begin{verbatim}
\begin{pspicture}(-8,-2)(8,2)
\psplot[algebraic,linewidth=2pt,fillstyle=solid, fillcolor=lightblue]{-3.14}{3.14}{sin(x)}
\psplot[algebraic,linewidth=2pt]{-6.2831}{6.2831}{sin(x)}
\rput(6.2831853,1.3){$\left|H(\omega)\right|$}
\psline(-6.6831853, 0)(6.6831853, 0)
\rput(6.6831853,-0.3){$\omega$}
\psline(-6.2831853, -0.1)(-6.2831853, 0.1)
\rput(-6.2831853, -0.3){$-2\pi$}
\psline(-4.712388975, -0.1)(-4.712388975, 0.1)
\rput(-4.712388975, -0.3){$-\frac{3\pi}{2}$}
\psline(-3.14159265, -0.1)(-3.14159265, 0.1)
\rput(-3.14159265, -0.3){$-\pi$}
\psline(-1.570796325, -0.1)(-1.570796325, 0.1)
\rput(-1.570796325, -0.3){$-\frac{\pi}{2}$}
\psline(0, -0.1)(0, 0.1)
\rput(0, -0.3){$0$}
\psline(1.570796325, -0.1)(1.570796325, 0.1)
\rput(1.570796325, -0.3){$\frac{\pi}{2}$}
\psline(3.14159265, -0.1)(3.14159265, 0.1)
\rput(3.14159265, -0.3){$\pi$}
\psline(4.712388975, -0.1)(4.712388975, 0.1)
\rput(4.712388975, -0.3){$\frac{3\pi}{2}$}
\psline(6.2831853, -0.1)(6.2831853, 0.1)
\rput(6.2831853, -0.3){$2\pi$}
\end{pspicture}
\end{verbatim}

\psset{unit=1cm}
\begin{center}
\begin{pspicture}(-3.5,-3.25)(3.5,2)
\psplot[algebraic,linewidth=1.5pt]{-3.14}{3.14}{cos(x/2)}
\psaxes[showorigin=false,labels=none, Dx=3.14](0,0)(-3.25,0)(3.25,0)
\rput(3.14, -0.35){$\pi$}
\rput(-3.14, -0.35){$-\pi$}
\rput(0, -0.35){$0$}
\rput(1.25,1.25 ){$\left| H(\omega) \right| =\cos(\omega/2)$}
\end{pspicture}
\end{center}

\begin{verbatim}
\begin{pspicture}(-3.5,-3.25)(3.5,2)
\psplot[algebraic,linewidth=1.5pt]{-3.14}{3.14}{cos(x/2)}
\psaxes[showorigin=false,labels=none, Dx=3.14](0,0)(-3.25,0)(3.25,0)
\rput(3.14, -0.35){$\pi$}
\rput(-3.14, -0.35){$-\pi$}
\rput(0, -0.35){$0$}
\rput(1.25,1.25 ){$\left| H(\omega) \right| =\cos(\omega/2)$}
\end{pspicture}
\end{verbatim}

\begin{center}
\begin{pspicture}(-3.5,-1.25)(3.5,2)
\psplot[algebraic,linewidth=1.5pt]{-3.14}{3.14}{abs(sin(x/2))}
\psaxes[showorigin=false,labels=none, Dx=3.14](0,0)(-3.25,0)(3.25,0)
\rput(3.14, -0.35){$\pi$}
\rput(-3.14, -0.35){$-\pi$}
\rput(0, -0.35){$0$}
\rput(1,1.25 ){$\left| G(\omega) \right| =\left| \sin(\omega/2) \right|$}
\end{pspicture}
\end{center}

\begin{verbatim}
\begin{pspicture}(-3.5,-1.25)(3.5,2)
\psplot[algebraic,linewidth=1.5pt]{-3.14}{3.14}{abs(sin(x/2))}
\psaxes[showorigin=false,labels=none, Dx=3.14](0,0)(-3.25,0)(3.25,0)
\rput(3.14, -0.35){$\pi$}
\rput(-3.14, -0.35){$-\pi$}
\rput(0, -0.35){$0$}
\rput(1,1.25 ){$\left| G(\omega) \right| =\left| \sin(\omega/2) \right|$}
\end{pspicture}
\end{verbatim}

psplot

Circles are simple, just specify an origin and a radius:

\begin{center}
\begin{pspicture}(-2,-2)(2,2)
\pscircle(0,0){ 1 }
\end{pspicture}
\end{center}


\begin{verbatim}
\begin{pspicture}(-2,-2)(2,2)
\pscircle(0,0){ 1 }
\end{pspicture}
\end{verbatim}



pscircle

The {\tt psaxes} command is somewhat unfinished, but it does generate the x and y axes:

\psset{unit=1cm}

\begin{center}
\begin{pspicture}(-3.5,-1)(3.75,3.5)

\psplot[algebraic,linewidth=1.5pt,plotpoints=1000]{-3.14}{3.14}{cos(4*x/2)+1.3}
\psaxes[showorigin=false,labels=none, Dx=1.62](0,0)(-3.25,0)(3.25,2.5)

\psline[linestyle=dashed](-3.14,0.3)(3.14,0.3)
\psline[linestyle=dashed](-3.14,2.3)(3.14,2.3)
\rput(3.6,2.3){$\frac{1}{1-\alpha}$}
\rput(3.6,0.3){$\frac{1}{1+\alpha}$}


\rput(3.14, -0.35){$\pi$}
\rput(1.62, -0.35){$\pi/2$}
\rput(-1.62, -0.35){$-\pi/2$}
\rput(-3.14, -0.35){$-\pi$}
\rput(0, -0.35){$0$}

\end{pspicture}
\end{center}


\begin{verbatim}
\begin{pspicture}(-3.5,-1)(3.75,3.5)
\psplot[algebraic,linewidth=1.5pt,plotpoints=1000]{-3.14}{3.14}{cos(4*x/2)+1.3}
\psaxes[showorigin=false,labels=none, Dx=1.62](0,0)(-3.25,0)(3.25,2.5)
\psline[linestyle=dashed](-3.14,0.3)(3.14,0.3)
\psline[linestyle=dashed](-3.14,2.3)(3.14,2.3)
\rput(3.6,2.3){$\frac{1}{1-\alpha}$}
\rput(3.6,0.3){$\frac{1}{1+\alpha}$}
\rput(3.14, -0.35){$\pi$}
\rput(1.62, -0.35){$\pi/2$}
\rput(-1.62, -0.35){$-\pi/2$}
\rput(-3.14, -0.35){$-\pi$}
\rput(0, -0.35){$0$}
\end{pspicture}
\end{verbatim}

psaxes

The {\tt psline} command can be used in a multitude of ways.


There is a special option on {\tt psline} that allows you to specify dots and arrows. 


\psset{unit=1cm}
\begin{center}
\begin{pspicture}(-2.5,-1)(7.6,4)
\psline(-2,0)(-2,2)
\psline{-*}(-1,0)(-1,2)
\psline{*-}(0,0)(0,2)
\psline{*-*}(1,0)(1,2)
\psline{<-*}(2,0)(2,2)
\psline{*->}(3,0)(3,2)
\psline{<->}(4,0)(4,2)
\psline{<-}(5,0)(5,2)
\psline{->}(6,0)(6,2)
\psline(7,0)(7,2)
\end{pspicture}
\end{center}

Which can be produced with the following source:

\begin{verbatim}
\begin{pspicture}(-2.5,-1)(7.6,4)
\psline(-2,0)(-2,2)
\psline{-*}(-1,0)(-1,2)
\psline{*-}(0,0)(0,2)
\psline{*-*}(1,0)(1,2)
\psline{<-*}(2,0)(2,2)
\psline{*->}(3,0)(3,2)
\psline{<->}(4,0)(4,2)
\psline{<-}(5,0)(5,2)
\psline{->}(6,0)(6,2)
\psline(7,0)(7,2)
\end{pspicture}
\end{verbatim}



They can be useful for creating kronecker delta plots:


\psset{unit=1cm}
\begin{center}
\begin{pspicture}(-3,-1)(4,4)
    
\rput(-2.5,1.5){$\cdots$}
\rput(3.5,1.5){$\cdots$}

\psline{-*}(-2,0)(-2,2)
\rput(-1.7,2){(2)}
\rput(-2,-0.3){-2}

\psline{-*}(-1,0)(-1,3)
\rput(-0.7,3){(3)}
\rput(-1,-0.3){-1}


\psline{-*}(0,0)(0,2)
\rput(0.3,2){(2)}
\rput(0,-0.3){0}


\psline{-*}(1,0)(1,3)
\rput(1.3,3){(3)}
\rput(1,-0.3){1}


\psline{-*}(2,0)(2,2)
\rput(2.3,2){(2)}
\rput(2,-0.3){2}


\psline{-*}(3,0)(3,3)
\rput(3.3,3){(3)}
\rput(3,-0.3){3}

\psline{->}(-3,0)(4,0)
\rput(4,-0.3){ $n$ }
\rput(4,3){ $x(n)$ }

\end{pspicture}
\end{center}


\psset{unit=1cm}
\begin{verbatim}
\begin{pspicture}(-3,-1)(4,4) 
\rput(-2.5,1.5){$\cdots$}
\rput(3.5,1.5){$\cdots$}
\psline{-*}(-2,0)(-2,2)
\rput(-1.7,2){(2)}
\rput(-2,-0.3){-2}
\psline{-*}(-1,0)(-1,3)
\rput(-0.7,3){(3)}
\rput(-1,-0.3){-1}
\psline{-*}(0,0)(0,2)
\rput(0.3,2){(2)}
\rput(0,-0.3){0}
\psline{-*}(1,0)(1,3)
\rput(1.3,3){(3)}
\rput(1,-0.3){1}
\psline{-*}(2,0)(2,2)
\rput(2.3,2){(2)}
\rput(2,-0.3){2}
\psline{-*}(3,0)(3,3)
\rput(3.3,3){(3)}
\rput(3,-0.3){3}
\psline{->}(-3,0)(4,0)
\rput(4,-0.3){ $n$ }
\rput(4,3){ $x(n)$ }
\end{pspicture}
\end{verbatim}


Other uses include creating representations of vectors:


\psset{unit=1cm}
\begin{center}
\begin{pspicture}(-3,-6)(3,6)
    

\psline{->}(0,-6)(0,-1)
\psline{->}(-2.5,-3.5)(2.5,-3.5)


\rput(0.8,-4.8){$\Psi_1 = \left[ \begin{array}{r} 1 \\ -1 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,-3.5)(1,-4.5)

\rput(2.22487174976714,-2){$\vec{x}$}
\psline[linewidth=1.5 pt]{->}(0,-3.5)(2.42487174976714,-2.10000107243568)

\rput(0.8,-2.5){$\Psi_0 = \left[ \begin{array}{r} 1 \\ 1 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,-3.5)(1,-2.5)

\psline{->}(0,0)(0,5)


\psline{->}(-2.5,2.5)(2.5,2.5)

\rput(2.22487174976714,3.95){$\vec{x}$}
\psline[linewidth=1.5 pt]{->}(0,2.5)(2.42487174976714,3.89999892756432)


\rput(1,2){$\Psi_0 = \left[ \begin{array}{r} 1 \\ 0 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,2.5)(0,3.5)


\rput(0,3.5){$\Psi_1 = \left[ \begin{array}{r} 0 \\ 1 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,2.5)(1,2.5)

\end{pspicture}
\end{center}

Which can be created with the following source:

\psset{unit=1cm}
\begin{verbatim}
\begin{pspicture}(-3,-6)(3,6)
\psline{->}(0,-6)(0,-1)
\psline{->}(-2.5,-3.5)(2.5,-3.5)
\rput(0.8,-4.8){$\Psi_1 = \left[ \begin{array}{r} 1 \\ -1 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,-3.5)(1,-4.5)
\rput(2.22487174976714,-2){$\vec{x}$}
\psline[linewidth=1.5 pt]{->}(0,-3.5)(2.42487174976714,-2.10000107243568)
\rput(0.8,-2.5){$\Psi_0 = \left[ \begin{array}{r} 1 \\ 1 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,-3.5)(1,-2.5)
\psline{->}(0,0)(0,5)
\psline{->}(-2.5,2.5)(2.5,2.5)
\rput(2.22487174976714,3.95){$\vec{x}$}
\psline[linewidth=1.5 pt]{->}(0,2.5)(2.42487174976714,3.89999892756432)
\rput(1,2){$\Psi_0 = \left[ \begin{array}{r} 1 \\ 0 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,2.5)(0,3.5)
\rput(0,3.5){$\Psi_1 = \left[ \begin{array}{r} 0 \\ 1 \\ \end{array} \right]$}
\psline[linewidth=1.5 pt]{->}(0,2.5)(1,2.5)
\end{pspicture}
\end{verbatim}

You can also use {\tt linestyle=dashed} in the options. 


\psset{unit=1cm}
\begin{center}
\begin{pspicture}(-2.5,-1)(7.6,4)
\psline[linestyle=dashed](-2,0)(-2,2)
\psline[linestyle=dashed]{-*}(-1,0)(-1,2)
\psline[linestyle=dashed]{*-}(0,0)(0,2)
\psline[linestyle=dashed]{*-*}(1,0)(1,2)
\psline[linestyle=dashed]{<-*}(2,0)(2,2)
\psline[linestyle=dashed]{*->}(3,0)(3,2)
\psline[linestyle=dashed]{<->}(4,0)(4,2)
\psline[linestyle=dashed]{<-}(5,0)(5,2)
\psline[linestyle=dashed]{->}(6,0)(6,2)
\psline[linestyle=dashed](7,0)(7,2)
\end{pspicture}
\end{center}

Which can be produced with the following source:

\begin{verbatim}
\begin{pspicture}(-2.5,-1)(7.6,4)
\psline[linestyle=dashed](-2,0)(-2,2)
\psline[linestyle=dashed]{-*}(-1,0)(-1,2)
\psline[linestyle=dashed]{*-}(0,0)(0,2)
\psline[linestyle=dashed]{*-*}(1,0)(1,2)
\psline[linestyle=dashed]{<-*}(2,0)(2,2)
\psline[linestyle=dashed]{*->}(3,0)(3,2)
\psline[linestyle=dashed]{<->}(4,0)(4,2)
\psline[linestyle=dashed]{<-}(5,0)(5,2)
\psline[linestyle=dashed]{->}(6,0)(6,2)
\psline[linestyle=dashed](7,0)(7,2)
\end{pspicture}
\end{verbatim}


psline

Probably the best part of using PSTricks is that you can mix both graphics and mathematics:

\begin{center}
\begin{pspicture}(0,-3)(8,3)

\rput(0,0){$x(t)$}
\rput(4,1.5){$f(t)$}
\rput(4,-1.5){$g(t)$}
\rput(8.2,0){$y(t)$}
\rput(1.5,-2){$h(t)$}

\psframe(1,-2.5)(7,2.5)
\psframe(3,1)(5,2)
\psframe(3,-1)(5,-2)

\rput(4,0){$X_k = \frac{1}{p} \sum \limits_{n=\langle p\rangle}x(n)e^{-ik\omega_0n}$}

\psline[linewidth=1.25 pt]{->}(0.5,0)(1.5,0)
\psline[linewidth=1.25 pt]{->}(1.5,1.5)(3,1.5)
\psline[linewidth=1.25 pt]{->}(1.5,-1.5)(3,-1.5)

\psline[linewidth=1.25 pt]{->}(6.5,1.5)(6.5,0.25)
\psline[linewidth=1.25 pt]{->}(6.5,-1.5)(6.5,-0.25)
\psline[linewidth=1.25 pt]{->}(6.75,0)(7.75,0)
\psline[linewidth=1.25 pt](1.5,-1.5)(1.5,1.5)
\psline[linewidth=1.25 pt](5,1.5)(6.5,1.5)
\psline[linewidth=1.25 pt](5,-1.5)(6.5,-1.5)
\psline[linewidth=1.25 pt](6,-1.5)(6.5,-1.5)

\pscircle(6.5,0){0.25}
\psline(6.25,0)(6.75,0)
\psline(6.5,0.5)(6.5,-0.5)

\end{pspicture}
\end{center}

which can be produced with the following code: 

\begin{verbatim}
\rput(0,0){$x(t)$}
\rput(4,1.5){$f(t)$}
\rput(4,-1.5){$g(t)$}
\rput(8.2,0){$y(t)$}
\rput(1.5,-2){$h(t)$}
\psframe(1,-2.5)(7,2.5)
\psframe(3,1)(5,2)
\psframe(3,-1)(5,-2)
\rput(4,0){$X_k = \frac{1}{p} \sum \limits_{n=\langle p\rangle}x(n)e^{-ik\omega_0n}$}
\psline[linewidth=1.25 pt]{->}(0.5,0)(1.5,0)
\psline[linewidth=1.25 pt]{->}(1.5,1.5)(3,1.5)
\psline[linewidth=1.25 pt]{->}(1.5,-1.5)(3,-1.5)
\psline[linewidth=1.25 pt]{->}(6.5,1.5)(6.5,0.25)
\psline[linewidth=1.25 pt]{->}(6.5,-1.5)(6.5,-0.25)
\psline[linewidth=1.25 pt]{->}(6.75,0)(7.75,0)
\psline[linewidth=1.25 pt](1.5,-1.5)(1.5,1.5)
\psline[linewidth=1.25 pt](5,1.5)(6.5,1.5)
\psline[linewidth=1.25 pt](5,-1.5)(6.5,-1.5)
\psline[linewidth=1.25 pt](6,-1.5)(6.5,-1.5)
\pscircle(6.5,0){0.25}
\psline(6.25,0)(6.75,0)
\psline(6.5,0.5)(6.5,-0.5)
\end{verbatim}

rput - place math anywhere

The {\tt pspolygon} is a great way to create arbitrary shapes!

\begin{verbatim}
\pspolygon(x0,y0)(x1,y1)(x2,y2) ... (xn,yn)
\end{verbatim}
You can provide an array of coordinates that will render a polygon \cite[10]{pstricks}


You can add an aribitray number of coordinates onto the end of the command, and produce any shape you'd like!

\begin{center}
\begin{pspicture}(-3,-3)(3,3)
\pspolygon(-1,-1)(-1,2)(1,0)(-2,0)(1,1)
\end{pspicture}
\end{center}

which can be produced with the following code:

\begin{verbatim}
\begin{pspicture}(-3,-3)(3,3)
\pspolygon(-1,-1)(-1,2)(1,0)(-2,0)(1,1)
\end{pspicture}
\end{verbatim}


\begin{center}
\begin{pspicture}(0,-3.5)(8,2)


\rput(0,0){$x$}
\rput(7.2,0){$y$}
\rput(5.5,-1.25){$z^{-1}$}


\rput(3.65,-2){$\alpha$}
\rput(1.5,-2.5){$H$}

% plus or minus for adder
\rput(2.1,-0.5){$-$}
\rput(1.45,0.35){$+$}

\psframe(1,-3)(6.5,1)

\pspolygon(4,-1.5)(4,-2.5)(2.5,-2)

\psline{->}(0.25,0)(1.5,0)
\psline{->}(1.75,-2)(1.75,-0.25)
\psline{->}(5.5,-2)(4,-2)
\psline(2.5,-2)(1.75,-2)
\psline{->}(2,0)(7,0)
\psline(5.5,-1.7)(5.5,-2)
\psline{->}(5.5,0)(5.5,-0.75)

\psframe(5, -1.7)(6,-0.75)

\pscircle(1.75,0){0.25}
\psline(1.5,0)(2,0)
\psline(1.75,0.25)(1.75,-0.25)


\end{pspicture}
\end{center}

Which can be produced with the following \TeX:

\begin{verbatim}
\begin{pspicture}(0,-3.5)(8,2)
\rput(0,0){$x$}
\rput(7.2,0){$y$}
\rput(5.5,-1.25){$z^{-1}$}
\rput(3.65,-2){$\alpha$}
\rput(1.5,-2.5){$H$}
\rput(2.1,-0.5){$-$}
\rput(1.45,0.35){$+$}
\psframe(1,-3)(6.5,1)
\pspolygon(4,-1.5)(4,-2.5)(2.5,-2)
\psline{->}(0.25,0)(1.5,0)
\psline{->}(1.75,-2)(1.75,-0.25)
\psline{->}(5.5,-2)(4,-2)
\psline(2.5,-2)(1.75,-2)
\psline{->}(2,0)(7,0)
\psline(5.5,-1.7)(5.5,-2)
\psline{->}(5.5,0)(5.5,-0.75)
\psframe(5, -1.7)(6,-0.75)
\pscircle(1.75,0){0.25}
\psline(1.5,0)(2,0)
\psline(1.75,0.25)(1.75,-0.25)
\end{pspicture}
\end{verbatim}

9.6 PSTricks elements