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C00002 00002	% Beginning TeX assignment 11. -jma August 22, 1984
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% Beginning TeX assignment 11. -jma August 22, 1984

%%%%% This is a TeX file of a journal article that has been formated %%%%%
%%%%% using a set of macros specially designed to make TeXing        %%%%%
%%%%% articles a snap. Along with this file we've given you the      %%%%%
%%%%% output. However we haven't given you the contents of the       %%%%%
%%%%% specially designed macros! Your assignment is to work back-    %%%%%
%%%%% wards from the output and fill in the macros that produced     %%%%%
%%%%% that output. Pay attention to the hints; -these macros are     %%%%%
%%%%% variations of ones that you've seen so far.


%%%%%%%%%%%%%%%%%%% Macro Definitions %%%%%%%%%%%%%%%%%%%%%%%%%

\magnification\magstephalf
\font\smallfont=amr7
\font\titlefont=amssbx10 scaled \magstep2

\hyphenation{mathema-ti-cian}

\def\title#1{\centerline{\titlefont#1}%
             \vfill}

\def\authorsection#1 #2{\centerline{\sl By #1\numberednote{\rm#2}}%
                        \vfill}

\long\def\abstract#1{$$\vbox{\hsize=3.5in
			 \hrule
			 \kern 5pt
			 \hbox{\vbox{\smallfont #1}}
			 \kern 5pt
			 \hrule}$$
	             \vfill}
		 % Hint: see page 54 of the course notes.

\def\section#1{\par
	 \penalty -100
	 \medskip
	 \noindent
	 {\bf
	 \advance\secno by1 \the\secno.\quad #1 \quad
	 }}
	 % int: see page 47 of the course notes.

\def\numberednote{\advance\footno by1\footnote{$↑{\the\footno}$}}

\def\Int#1#2{$\int↑{#1}←{#2}dx$}

\newcount\footno
\footno=0
 % reset the footnote numbers to zero.
\newcount\secno
\secno=0
 %reset the section numbers to zero.
\hsize=5truein\hoffset=0.75truein

%%%%%%%%%%%%%%%%%%%%%%%%% Text %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\tracingmacros=2
\title{Mathematics styles in Southern California}

\authorsection{Your Name Here} {Any-ford}

\advance \footno by1
\vfootnote{{\the\footno}}{Jonathan Roberts {\sl HOW TO CALIFORNIA} 
(New~York:~Dell 1984.)}

\abstract{

After sleeping, which takes up ${\scriptstyle1/\scriptstyle3}↑{rd}$ of our
time, and working which takes up a bit less, driving is the most
time-consuming activity in Southern California.
Before you buy a car in Southern California, you must ask yourself, ``What
kind of a car says {\sl me\/}?''
This is a serious question, since you will be judged by the car you
drive.$↑\the\footno$

\TeX\ users come under a similar regime.
The style you use for mathematical notation is as personal to you as your
name.
In this article we examine what a person's choice of notation tells about
them, especially and most importantly what it tells about their car.

}

\indent\llap{``}In small things style is important, in important things
style is everything.''
\numberednote{Attributed to an obscure British dilletante.}
Mathematicians are bound by this rule just like the rest of us. It is the
author's impression that by looking at a mathematician's use of notation
we can tell a lot about their lifestyle, especially about what kind of car
they drive.

\section{The cars that mathematicians drive.}
Take for example the fellow who sets his integration limits as wide as
possible.
He might write integrals like \Int{\infty}{-\infty}; most likely he drives
a four wheel drive jeep converted for off-the-road travel.
As you might expect, correspondingly, the fellow who prefers to write
\Int{\infty}{0} probably also prefers a front wheel drive car like an Audi
or a Rabbit.
If you see someone as frank as to indicate \Int{0}{0}---you have probably
caught on that this person doesn't even own a car.
As any Calculus student can tell you, the integral from zero to zero is
nothing at all.

On the other hand, seeing something like \Int{BMW}{VW} indicates a cagey
attitude, since these limits cover quite a range of German cars.
He may actually drive a vintage {\sl Porsche}. Likewise do not be fooled
by \Int{733i}{}. For mathematicians the $i$ does not stand for ``fuel
injection'' but rather for {\it imaginary\/}; no mathematician could
afford a $BMW\ sedan$.

\bye