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authorKarl Berry <karl@freefriends.org>2022-11-09 21:08:02 +0000
committerKarl Berry <karl@freefriends.org>2022-11-09 21:08:02 +0000
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mhequ (9nov22)
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-\documentclass{article}
-\usepackage{amsmath}
-\usepackage{mhequ}
-
-\def\eref#1{(\ref{#1})}
-
-\textwidth 13cm
-\textheight 22cm
-\oddsidemargin 0.2cm
-\topmargin 0.3cm
-\pagestyle{empty}
-
-\begin{document}
-
-\title{Using the \texttt{mhequ} package}
-\author{Martin Hairer}
-\date{Version 1.71, \today}
-\maketitle
-\thispagestyle{empty}
-
-
-This package provides two environments: \texttt{equ} for single-line equations
-and \texttt{equs} for multi-line equations. They behave similarly to the built-in
-\texttt{equation} and \texttt{amsmath}'s \texttt{align} environments and can essentially
-be used as drop-in replacements. The main difference is that equation numbers are
-handled differently: equations are numbered if and only if they have a \verb|\label|,
-so there is no need for starred versions. This also applies to individual lines in
-a multiline equation. Also, the \texttt{equs} environment supports blocks of equation
-with more
-
-Since \texttt{mhequ} redefines the \verb|\tag| and \verb|\intertext| commands, it should
-always be loaded \textit{after} the \texttt{amsmath} package. However, these
-two commands should still behave correctly inside the \texttt{amsmath} environments.
-The rest of this document demonstrates the usage of the \texttt{mhequ} package,
-it is easiest to just read the source code of this document to see how it works.
-See also the description given at the start of the file \texttt{mhequ.sty}.
-
-Here is a simple labelled equation:
-\begin{equ}[onelab]
- e^{i\pi} + 1 = 0 \;.
-\end{equ}
-Removing or adding the label does not require a change of environment:
-\begin{equ}
- e^{i\pi} + 1 = 0 \;.
-\end{equ}
-However, if the option \texttt{numberall} is set, then every single
-equation is numbered.
-A simple list of equations can be displayed either with one number
-per equation
-\begin{align}
- f(x) &= \sin(x) + 1\;, \label{e:equ1}\\
- h(x) &= f(x) + g(x) -3\;, \label{e:equ3}
-\end{align}
-\begin{equs}
- f(x) &= \sin(x) + 1\;, \label{e:equ1}\\
- h(x) &= f(x) + g(x) -3\;, \label{e:equ3}
-\end{equs}
-or with one number for the whole list
-\begin{equs}[e:block]
- f(x) &= \sin(x) + 1\;, \\
- h(x) &= f(x) + g(x) -3\;.
-\end{equs}
-Of course, it can also have no number at all:
-\begin{equs}
- f(x) &= \sin(x) + 1\;, \\
- h(x) &= f(x) + g(x) -3\;.
-\end{equs}
-The command \verb|\minilab{label_name}| allows us to create a counter for the lines
-in a block of equations.
-\minilab{otherlabel}
-\begin{equs}
- f(x) &= \sin(x) + 1\;, \label{e:f}\\
- g(x) &= \cos(x) - x^2 + 4\;,\label{e:g}\\[3mm]
- h(x) &= f(x) + g(x) -3\;. \label{e:h}
-\end{equs}
-One can refer to the whole block \eref{otherlabel} or to one
-line, like \eref{e:f} for example.
-It is possible to use any tag one likes with the \verb|\tag{displayed_tag}|
-command
-\begin{equ}[mylabel]
- x = y\;, \tag{$\star$}
-\end{equ}
-which in this case was used as \verb|\tag{$\star$}|.
-Such an equation can be referred to as usual: \eref{mylabel}.
-Of course, \texttt{mhequ} can be used in conjunction with the usual \texttt{equation} environment,
-but \texttt{mhequ} is great, so why would you want to do this?
-\begin{equation}
- x=y+z
-\end{equation}
-Typesetting several columns of equations is quite easy and doesn't require 10 different environments
-with awkward names:
-\begin{equs}
- x&=y+z &\qquad a&= b+c &\qquad x&= v \label{laba}\\
- x&=y+z &\qquad a&= b+c &\qquad x&= u+1\tag{\ref{laba}'}\label{labtag}\\
- \multicol{4}{\text{(multicol)}} &\qquad x&=y \\
- a&= b &\multicol{4}{\qquad\text{(multicol)}} \\
- x&=y+z &\qquad a^2&= (b-c)^3 +y \\
-\intertext{and also (this is some \texttt{\string\intertext})}
- x&=y+z &\qquad a&= (b+c)^2 - 5 &\qquad \ell&= m\label{labb}
-\end{equs}
-We can even extend the block \eref{otherlabel} much later
-using the \verb|\minilab{label_name}| command:
-\minilab{otherlabel}
-\begin{equs}
- x&=y+z &\quad x&=y+z &\quad f(x)&= b\label{e:x1}\\
- x&=y+z & x&=y+z &\quad g(x)&= b\label{e:x2} \\
- \multicol{6}{\sin^2 x + \cos^2 x = 1} \label{e:x3}
-\end{equs}
-It is possible to change the type of subnumbering and to use the
-\texttt{\string\text} command without having to load \texttt{amstext}:
-\setlabtype{Alph}
-\minilab{alab}
-\begin{equs}
- I_1 &= \int_a^b g(x)\,dx\;,&\quad&\text{(First equation)} \label{e:1}\\
- I_2 &= \int_a^b g(x^2-1)\,dx\;.&\quad&\text{(Second equation)} \label{e:2}
-\end{equs}
-
-\end{document} \ No newline at end of file