<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:14pt"><div class="" style="">Dear folks,</div><div class="" style=""><br></div><div class="" style="color: rgb(0, 0, 0); font-size: 19px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;">I want to have two additional ways to represent point.</div><div class="" style="color: rgb(0, 0, 0); font-size: 19px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;">For the details, please kindly compile the following input file to understand my idea.</div><div class="" style="color: rgb(0, 0, 0); font-size: 19px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal;
background-color: transparent;">If you have no time to compile, please kindly read the attached PDF.</div><div class="" style="color: rgb(0, 0, 0); font-size: 19px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;">Thank you in advance.</div><div class="" style="color: rgb(0, 0, 0); font-size: 19px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;"><br></div><div class="" style=""><br class="" style=""></div><div style="background-color: transparent;" class="">\documentclass[12pt,dvipsnames]{article}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\usepackage{filecontents}</div><div style="background-color: transparent;" class="">\begin{filecontents*}{myheader.pro}</div><div
style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>/I2P {exec AlgParser cvx exec} def</div><div style="background-color: transparent;" class="">\end{filecontents*}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\usepackage[a4paper,vmargin=25mm,hmargin=10mm]{geometry}</div><div style="background-color: transparent;" class="">\usepackage{pst-plot}</div><div style="background-color: transparent;" class="">\pstheader{myheader.pro}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\usepackage{showexpl}</div><div style="background-color: transparent;" class="">\lstset</div><div style="background-color: transparent;" class="">{</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre">
</span>language={PSTricks},</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>basicstyle=\scriptsize\tt,</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>backgroundcolor=\color{yellow},</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>numbers=none,</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>breaklines=true,</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>tabsize=2,</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>explpreset={},</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>rframe={},</div><div style="background-color: transparent;" class=""><span class=""
style="white-space:pre"> </span>pos=r,</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>varwidth,</div><div style="background-color: transparent;" class="">}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\psset{algebraic}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\begin{document}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\noindent \textcolor{red}{\bf NOTE:} The term ``independent expressions'' used below represents that they must expand to a constant value.</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\section*{Independent
Infix and Dependent Infix}</div><div style="background-color: transparent;" class="">\LTXexample</div><div style="background-color: transparent;" class="">\begin{pspicture}(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psaxes(0,0)(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psparametricplot{-4}{4}{t/2|t^2/4}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\pscircle*[linecolor=Red](+3/2,x^2){3pt}</div><div style="background-color: transparent;" class="">\end{pspicture}</div><div style="background-color: transparent;" class="">\endLTXexample</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\section*{Dependent Infix and Independent Infix}</div><div
style="background-color: transparent;" class="">{</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\color{red}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>It has not been implemented yet.\\</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>The proposed syntax is \lstinline|(++{sqrt(y)},9/4)|.</div><div style="background-color: transparent;" class="">}</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\LTXexample</div><div style="background-color: transparent;" class="">\begin{pspicture}(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psaxes(0,0)(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class=""
style="white-space:pre"> </span>\psparametricplot{-4}{4}{t/2|t^2/4}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>%\pscircle*[linecolor=Red](++{sqrt(y)},9/4){3pt}</div><div style="background-color: transparent;" class="">\end{pspicture}</div><div style="background-color: transparent;" class="">\endLTXexample</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\pagebreak</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\section*{Independent Postfix and Dependent Infix}</div><div style="background-color: transparent;" class="">\LTXexample</div><div style="background-color: transparent;" class="">\begin{pspicture}(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre">
</span>\psaxes(0,0)(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psparametricplot{-4}{4}{t/2|t^2/4}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\pscircle*[linecolor=Green](*{3 2 div} x^2){3pt}</div><div style="background-color: transparent;" class="">\end{pspicture}</div><div style="background-color: transparent;" class="">\endLTXexample</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\section*{Dependent Infix and Independent Postfix}</div><div style="background-color: transparent;" class="">\LTXexample</div><div style="background-color: transparent;" class="">\begin{pspicture}(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psaxes(0,0)(-3,-1)(3,5)</div><div
style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psparametricplot{-4}{4}{t/2|t^2/4}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\pscircle*[linecolor=Blue](**{sqrt(y)} {9 4 div}){3pt}</div><div style="background-color: transparent;" class="">\end{pspicture}</div><div style="background-color: transparent;" class="">\endLTXexample</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\pagebreak</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\section*{Independent Postfix and Independent Postfix}</div><div style="background-color: transparent;" class="">\LTXexample</div><div style="background-color:
transparent;" class="">\begin{pspicture}(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psaxes(0,0)(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psparametricplot{-4}{4}{t/2|t^2/4}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\pscircle*[linecolor=Magenta](!3 2 div 9 4 div){3pt}</div><div style="background-color: transparent;" class="">\end{pspicture}</div><div style="background-color: transparent;" class="">\endLTXexample</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\section*{Independent Infix and Independent Infix}</div><div style="background-color: transparent;" class="">{</div><div style="background-color: transparent;" class=""><span class=""
style="white-space:pre"> </span>\color{red}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>It has not been implemented yet.\\</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>The proposed syntax is \lstinline|(!3/2,9/4)|.</div><div style="background-color: transparent;" class="">}</div><div style="background-color: transparent;" class="">\LTXexample</div><div style="background-color: transparent;" class="">\begin{pspicture}(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psaxes(0,0)(-3,-1)(3,5)</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\psparametricplot{-4}{4}{t/2|t^2/4}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>\pscircle*[linecolor=Cyan](!{(3/2)}
I2P {(9/4)} I2P){3pt}</div><div style="background-color: transparent;" class=""><span class="" style="white-space:pre"> </span>%\pscircle*[linecolor=Cyan](!3/2,9/4){3pt}</div><div style="background-color: transparent;" class="">\end{pspicture}</div><div style="background-color: transparent;" class="">\endLTXexample</div><div style="background-color: transparent;" class=""><br class="" style=""></div><div style="background-color: transparent;" class="">\end{document}</div><div style="color: rgb(0, 0, 0); font-size: 19px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;" class=""><br class="" style=""></div></div></body></html>