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\section*{Excitement and Hard Maths}
Quotation marks are inserted into text using ` for open quotes, and '
for close quotes. If double quotes are needed you just type two
single quotes --- ``This is a quotation,'' he said. Notice that you
can produce different length dashes by typing one, two and three
hyphens. Between hyphenated words use just one inter-word hyphen.
Two hyphens are often used for number ranges (23--45). Three hyphens
are used a bit like semicolons --- you know the sort of thing.
\LaTeX\ always puts extra space after a full stop like this.
To prevent the extra gap occuring in the middle of a name you insert
a tie like this (Mr.~Jones).
This is a bit of prose which is gently building up to the excitement
of an equation.
\begin{eqnarray}
y&=&ax^{2}+bx+c \nonumber\\
E&=&mc^2 \nonumber\\
{\delta y \over \delta x} &=& {{a\over b}\over c}
\end{eqnarray}
\noindent
Don't worry too much if it looks
complicated, the main purpose was to give an \emph{idea\/} of the
quality of maths which \LaTeX\ can produce. Let's look at a rather
simpler formula. Subscripts are written \( x_{2y} \) and superscripts
are written \( x^{2y} \). These are both in-line formulae.
\section*{Conclusions}
This example illustrates a number of \LaTeX\ features. By comparing
the original and the processed text you should be able to see
\begin{enumerate}
\item How to open and close both single and double quotes.
\item How to produce dashes and what they look like.
\item How to typeset Ms.~Smith.
\item How to produce subscripts and superscripts.
\item How to emphasize a section of text \emph{like this}.
\item How to produce a numbered list of things.
\end{enumerate}
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