我试图清楚地解释这个公式中等式右边的一些段落,但总是出错(我的意思是我不喜欢这个结果的美感)。你能帮助我吗?
这是我最近的尝试:
\documentclass{article}
\usepackage{amsmath}
\usepackage[margin=1.5in]{geometry}
\begin{document}
\begin{equation}
\begin{aligned}
\eta &=\frac{W}{F(\rho_M)-F(\rho_M')}=\frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')}= &\textrm{\parbox{8em}{from point 4. of the list above,}} \\
&=\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')}= &\textrm{\parbox{8em}{from the equality between point 3. and 4.,}}\\
&=\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')}= & \textrm{\parbox{8em}{from point 1. $F(\rho_M)=F(\rho_W)=0$,}}\\
&=\frac{1}{1-\frac{F(\gamma_{SW},H')}{F(\rho_W')}} & \textrm{\parbox{8em} {obtained by dividing numerator and denominator by $F(\rho_W')$.}}
\end{aligned}
\end{equation}
\end{document}
答案1
我会使用顶部对齐\parbox
并将其放入宏中,这样如果您决定更改外观,就可以一次性更改所有内容。此外,还\raggedright
有助于避免在窄列中出现较宽的单词间空间。\textrm
不需要换行\parbox
。我还会放弃=
每行数学末尾的尾随。
\documentclass{article}
\usepackage{amsmath}
\usepackage[margin=1.5in]{geometry}
\newcommand\mynote[1]{\parbox[t]{8em}{\raggedright#1}}
\begin{document}
\begin{equation}
\begin{aligned}
\eta &=\frac{W}{F(\rho_M)-F(\rho_M')}=\frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')} &\mynote{from point 4. of the list above,} \\
&=\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')} &\mynote{from the equality between point 3. and 4.,}\\
&=\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')} & \mynote{from point 1. $F(\rho_M)=F(\rho_W)=0$,}\\
&=\frac{1}{1-\dfrac{F(\gamma_{SW},H')}{F(\rho_W')}} & \mynote{obtained by dividing numerator and denominator by $F(\rho_W')$.}
\end{aligned}
\end{equation}
\end{document}
例如,添加\footnotesize
到\mynote
宏会产生以下结果:
答案2
这里有三种可能性。我定义了一个\eqnote
命令,它显示其文本footnotesize
并具有可选宽度(默认 0.32\linewidth):
\documentclass{report}
\usepackage[showframe]{geometry}
\usepackage{mathtools}
\usepackage{ragged2e}
\newcommand{\eqnote}[2][0.32\linewidth]{\parbox{#1}{\footnotesize\upshape\RaggedRight#2}}
\begin{document}
\begin{equation}
\begin{aligned}
η& =\frac{W}{F(\rho_M)-F(\rho_M')} = \frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')} & \eqnote{from point 4. of the list above,} \\
& =\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')} & \eqnote{from the equality between points 3. and 4.,} \\
& =\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')} & \eqnote{from point 1. $F(\rho_M)=F(\rho_W)=0$,} \\
& =\frac{1}{1-\frac{F(\gamma_{SW},H')}{F(\rho_W')}} & \eqnote{obtained by dividing numerator and denominator by $F(\rho_W')$.}
\end{aligned}
\end{equation}
\begin{equation}
\begin{alignedat}{3}
& \qquad & η&=\frac{W}{F(\rho_M)-F(\rho_M')} = \frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')} &\quad & \eqnote{from point 4. of the list above,} \\
& & &=\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')} & & \eqnote{from the equality between points 3. and 4.,}\\
& & &=\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')} & & \eqnote{from point 1. $F(\rho_M)=F(\rho_W)=0$,}\\
& & &=\frac{1}{1-\frac{F(\gamma_{SW},H')}{F(\rho_W')}} & & \eqnote{obtained by dividing numerator and denominator by $F(\rho_W')$.}
\end{alignedat}
\end{equation}
\begin{flalign}
&& η&=\frac{W}{F(\rho_M)-F(\rho_M')} = \frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')} & & \eqnote{from point 4. of the list above,} \notag\\
& & &=\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')} & & \eqnote{from the equality between points 3. and 4.,}\notag\\[-2ex]
\\[-1ex]
& & &=\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')} & & \eqnote{from point 1. $F(\rho_M)=F(\rho_W)=0$,}\notag\\
& & & =\frac{1}{1-\frac{F(\gamma_{SW},H')}{F(\rho_W')}} & & \eqnote{obtained by dividing numerator and denominator by $F(\rho_W')$.}\notag
\end{flalign}
\end{document}
答案3
尝试使用varwidth
,这样就会使用真正需要的最大宽度。
该命令\eqnote
有一个可选参数,用于指定最大分配宽度,请查看两种情况的区别(第一种情况使用默认的 8em)。行间似乎需要更多的垂直空间。
我会删除尾随的等号,因为它们会分散注意力(并且通常不使用)。
\documentclass{article}
\usepackage[margin=1.5in]{geometry}
\usepackage{amsmath}
\usepackage{varwidth}
\newcommand{\eqnote}[2][8em]{%
\begin{varwidth}{#1}
\raggedright\footnotesize
#2
\end{varwidth}%
}
\begin{document}
\begin{equation}
\begin{aligned}
\eta &=\frac{W}{F(\rho_M)-F(\rho_M')}=\frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')}
&&\eqnote{from point 4. of the list above,}\\[1ex]
&=\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')}
&&\eqnote{from the equality between point 3. and 4.,}\\[1ex]
&=\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')}
&&\eqnote{from point 1. $F(\rho_M)=F(\rho_W)=0$,}\\[1ex]
&=\frac{1}{1-\frac{F(\gamma_{SW},H')}{F(\rho_W')}}
&&\eqnote{obtained by dividing numerator and denominator by $F(\rho_W')$.}
\end{aligned}
\end{equation}
\begin{equation}
\begin{aligned}
\eta &=\frac{W}{F(\rho_M)-F(\rho_M')}=\frac{W}{F(\rho_M)-F(\rho_S')-F(\rho_A')}
&&\eqnote[10em]{from point 4. of the list above,}\\[1ex]
&=\frac{F(\rho_W')-F(\rho_W)}{F(\rho_M)+F(\rho_S')+F(\rho_W')-F(\gamma_{SW},H')-F(\rho_S')}
&&\eqnote[10em]{from the equality between point 3. and 4.,}\\[1ex]
&=\frac{F(\rho_W')}{F(\rho_W')-F(\gamma_{SW},H')}
&&\eqnote[10em]{from point 1. $F(\rho_M)=F(\rho_W)=0$,}\\[1ex]
&=\frac{1}{1-\frac{F(\gamma_{SW},H')}{F(\rho_W')}}
&&\eqnote[10em]{obtained by dividing numerator and denominator by $F(\rho_W')$.}
\end{aligned}
\end{equation}
\end{document}