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authorKarl Berry <karl@freefriends.org>2008-01-25 17:10:36 +0000
committerKarl Berry <karl@freefriends.org>2008-01-25 17:10:36 +0000
commit8f4865dea1ad1d10e6c968912402400f8ecb6a97 (patch)
tree91c7e22af1499253747c6fc881f2cb3084c5a70c /Master/texmf-dist/doc
parent777b9bd7401d42256c4e6d4dc193f52413f4dd69 (diff)
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-%%
-%% This is file `delex.tex',
-%% generated with the docstrip utility.
-%%
-%% The original source files were:
-%%
-%% deleq.dtx (with options: `exempelkod')
-%%
-%%
-%% Copyright (c) 1994-97 by Mats Dahlgren <matsd@homenet.se>.
-%% All rights reserved. See the file `deleq.ins' for information
-%% on how you may (re-)distribute the `deleq' package files.
-%%
-\documentclass[11pt]{article} %%% add `leqno' if you want left-aligned
-\usepackage{deleq} %%% equation numbers and `fleqn' to
-\oddsidemargin=0.5cm %%% flush the equations left.
-\evensidemargin=0.5cm
-\topmargin=-5mm
-\textheight=23.5cm
-\textwidth=15.5cm
-\begin{document}
- \begin{center}
- \Large Welcome to the \textsf{deleq} package!
- \end{center}
-
- This is a short document to demonstrate the use of the
- \textsf{deleq} package and its commands. It uses \deleqver .
- \textsf{deleq} was written by Mats Dahlgren
- (\texttt{matsd@physchem.kth.se}). Suggestions for
- improvements and bug reports are most welcome, see the
- documentation. \textsf{deleq} is fully compatible with the
- \texttt{leqno} option and most of the \texttt{fleqn} option.
-
- We start this demonstration by a simple and well-known
- equation to get the equation number counter going:
- \begin{equation}
- \sin^2\alpha + \cos^2\alpha = 1
- \end{equation}
- The first example will be to make use of the
- \texttt{deqn} environment to get a partially numbered
- equation:
- \begin{deqn}
- \sin (-\alpha) = - \sin \alpha
- \end{deqn}
- This equation has its cosine companion, here written in
- the \texttt{ddeqn} environment:
- \begin{ddeqn}
- \cos (-\alpha) = \cos \alpha
- \end{ddeqn}
- Not so exciting, so far. :--)
-
- In the next example we introduce the \texttt{deqarr}
- environment for writing equations:
- \begin{deqarr}
- \sin ( \alpha + \beta ) & =
- & \sin \alpha \cos \beta + \sin \beta \cos \alpha \\
- \sin ( \alpha - \beta ) & =
- & \sin \alpha \cos \beta - \sin \beta \cos \alpha
- \label{Demo1}
- \end{deqarr}
- where we also have put in the label \texttt{Demo1} in
- the second equation. Next, notice how the environment
- \texttt{ddeqar} uses the same main equation number as
- the previous equations:
- \begin{ddeqar}
- \cos ( \alpha + \beta ) & =
- & \cos \alpha \cos \beta - \sin \alpha \sin \beta
- \arrlabel{Demo2} \\
- \cos ( \alpha - \beta ) & =
- & \cos \alpha \cos \beta + \sin \alpha \sin \beta
- \end{ddeqar}
- In the first of these equations, an \verb+\arrlabel+ command
- with the label \texttt{Demo2} is included.
- Now, we will make another \texttt{eqnarray}-like
- structure, again in the \texttt{ddeqar} environment:
- \begin{ddeqar}
- \sin 2\alpha & =
- & 2 \sin \alpha \cos \alpha \heqno \label{Demo3} \\
- \cos 2\alpha & =
- & \cos ^2 \alpha - \sin ^2 \alpha \nydeqno \\
- \rem{or}
- & = & 2\cos ^2 \alpha - 1
- \end{ddeqar}
- This example shows the use of \verb$\heqno$ in the first
- equation, which produces an ordinary equation number.
- The first equation is also labelled, with the label
- \texttt{Demo3}. The next equation's number was produced
- by the command \verb$\nydeqno$. Also, notice the use of
- \verb+\rem{or}+, which results in the text ``or'' without
- changing the alignment. To illustrate the use of
- \verb+\arrlabel{Demo2}+ above, we here make a reference to it:
- \ldots{} in equations \ref{Demo2} \ldots which was
- created by typing
- `\verb+\ldots{} in equations \ref{Demo2} \ldots+'.
-
- To step the equation number counter, we want the
- following equations typeset in ordinary
- \texttt{eqnarray} environment:
- \begin{eqnarray}
- \tan ^2 \alpha & =
- & \frac{\sin ^2 \alpha}{\cos ^2 \alpha} \label{Demo4} \\
- \tan \alpha & =
- & \frac{\sin \alpha}{\cos \alpha}
- \end{eqnarray}
- The upper equation was given the label \texttt{Demo4}.
-
- Now one of the ``recycling'' commands is to be
- demonstrated. First of all, let's make an ordinary
- reference to equation~\ref{Demo3}, and then ``recycle'' it:
- $$ \sin 2\alpha = 2 \sin \alpha \cos \alpha \reqno{Demo3} $$
- This was obtained with \verb#$$ ... $$# with the command
- \verb#\reqno{Demo3}# at the end. Also partially
- numbered equations can be recycled with the
- \verb#\reqno{FOO}# command, as with
- equation~\ref{Demo1}:
- $$ \sin ( \alpha - \beta ) = \sin \alpha \cos \beta -
- \sin \beta \cos \alpha \reqno{Demo1} $$
- (However, the use of \verb#\rndeqno{FOO}# and
- \verb#\rdeqno{FOO}# will produce strange results with
- two (different) partial equation numbers if \texttt{FOO}
- refers to a partially numbered equation.)
-
- The next equation was written with \verb#$$ ... $$# and
- a \verb#\deleqno# command at the end:
- $$ \tan 2\alpha = \frac{2\tan \alpha}{1 - \tan ^2 \alpha} \deleqno $$
- Notice how the main equation number counter is still the
- same, despite that we now are outside of the
- \texttt{ddeqar} environment. Also, notice how the use of
- \verb#\reqno# above did not affect the equation number
- counter. The following equation is also set within
- \verb#$$ ... $$#, but it uses the command
- \verb#\nydeleqno# to produce an equation number with a
- new main number:
- $$ \sin ^2 \alpha = 1 - \cos ^2 \alpha \nydeleqno $$
-
- Now we will elaborate a little on \verb#\rndeqno{FOO}#
- and \verb#\rdeqno{FOO}#. Let us use
- equation~\ref{Demo4}, and see what happens if we use the
- \verb#\rndeqno{FOO}# command:
- $$ \tan ^2 \alpha = \frac{\sin ^2 \alpha}
- {\cos ^2 \alpha} \rndeqno{Demo4} $$
- which we rewrite:
- $$ \tan ^2 \alpha = \frac{\sin ^2 \alpha}
- {1 - \sin ^2 \alpha} \rdeqno{Demo4} \label{Demo5} $$
- with \verb#\rdeqno{Demo4}# at the end. This is great
- fun, so why not one more:
- \begin{deqrarr}
- \tan ^2 \alpha = \frac{1 - \cos ^2 \alpha}
- {\cos ^2 \alpha} \ddeqreqno[-\jotbaseline]{Demo4}
- \nonumber
- \end{deqrarr}
- Also, the middle form of equation~\ref{Demo4} got a
- label, \texttt{Demo5}. In the last example, the construct\\
- \verb+ \ddeqreqno[-\jotbaseline]{Demo4} \nonumber+\\ in a
- \texttt{deqrarr} environment is used, to obtain
- \texttt{fleqn} compatibility.
-
- There is still one equation to write. This time we
- again use the \texttt{deqarr} environment:
- \begin{deqarr}
- \cot \alpha & = & \frac{\cos \alpha}{\sin \alpha} \\
- \where
- & = & \frac{1}{\tan \alpha}
- \end{deqarr}
- This example also shows the use of the \verb+\where+
- command, which is a special case of the \verb+\rem+ command.
- Now, the interesting thing of referring to the recycled
- equations is ahead. If one writes \verb#\ref{Demo5}#,
- this is what \LaTeX\ will return:~\ref{Demo5}. That is
- not too instructive, since the partial equation numbers
- are quite common in this document. To make the complete
- reference, use \verb#\ref{Demo4}\ref{Demo5}#. The
- reference~\ref{Demo4}\ref{Demo5} is much more
- comprehensible, right? (If you get bad line-breaks at
- such references, put them in an \verb#\mbox{...}#.)
-
- Now we will show the use of the commands to recycle equation
- numbers in \verb+eqnarray+-like structures. These commands
- are \verb+\eqreqno{FOO}+, \verb+\deqreqno{FOO}+, and
- \verb+\ddeqreqno{FOO}+. We start by repeating equation
- \ref{Demo1} in an \verb+deqrarr+ environment:
- \begin{deqrarr}
- \sin ( \alpha - \beta ) & =
- & \sin \alpha \cos \beta - \sin \beta \cos \alpha
- \eqreqno{Demo1}
- \sin 2\alpha & = & 2 \sin\alpha \cos\alpha
- \end{deqrarr}
- The second equation here shows how the alignment of the
- equations is preserved. Next, we can use the equation
- \ref{Demo3} for some variations:
- \begin{deqrarr}
- \sin 2\alpha & = & 2 \sin\alpha \cos\alpha
- \deqreqno{Demo3}
- \sin 4\alpha & = & 2 \sin 2\alpha \cos 2\alpha \\
- & = & 2\left( 2\sin\alpha \cos\alpha
- \left( \cos^2 \alpha - \sin^2 \alpha\right)\right)
- \ddeqreqno{Demo3}
- & = & 4\left(\sin\alpha \cos\alpha
- \left( \cos^2 \alpha - \sin^2 \alpha\right)\right)
- \ddeqreqno[-\jotbaseline]{Demo3}
- \end{deqrarr}
- The features used here are \verb+\deqreqno{Demo3}+
- on the first line, \verb+\ddeqreqno{Demo3}+ on the
- second line, and \verb+\deqreqno[-\jotbaseline]{Demo3}+
- on the third. Note how the inclusion of
- \verb+[-\jotbaseline]+ on the third line prevents
- \LaTeX{} from inserting an extra blank line. The
- second line ends with `\verb+\\+', and has thus no
- equation number at all.
-
- The last part shows how you may use \verb+\eqreqno+ and its
- relatives in \verb+deqarr+ environment:
- \begin{deqarr}
- \sin\alpha & = & \sin\alpha \cos 0 + \sin 0 \cos\alpha \\
- \sin 2\alpha & = & 2 \sin\alpha \cos\alpha \eqreqno{Demo3}
- \sin 3\alpha & = & \sin 2\alpha \cos\alpha +
- \sin\alpha \cos 2\alpha \\
- \sin 4\alpha & = & 2 \sin 2\alpha \cos 2\alpha \\
- \sin 5\alpha & = & \sin 3\alpha \cos 2\alpha +
- \sin 2\alpha \cos 3\alpha \ddeqreqno{Demo3}
- \sin 6\alpha & = & 2 \sin 3\alpha \cos 3\alpha
- \end{deqarr}
- The interesting part here is an `\verb+\eqreqno{Demo3}+' at
- the end of the second line and a `\verb+\ddeqreqno{Demo3}+' at
- the end of the fifth line. Notice how the partial
- equation number counter in unaffected by the enetering of
- the \verb+deqarr+ environment.
-
- Finally, the $\mathcal{END}$! If you want your
- equation numbers left-aligned, just specify the \texttt{leqno}
- option for the \texttt{documentclass} you are using. It
- should work! If you have any suggestions, corrections
- or contributions, please contact me. Enjoy \LaTeX !
-
- {\itshape mats d.}
-\end{document}
-\endinput
-%%
-%% End of file `delex.tex'.