\documentclass[a4paper,titlepage]{article}
\usepackage{amsmath,amssymb}
\newcommand*{\PartialConj}{\ensuremath{\bar{\partial}}}
\newcommand*{\Abs}[1]{\ensuremath{\left\lvert #1\right\rvert}}
\begin{document}
\begin{align*}
\Abs{\PartialConj F(z)}
& \leqslant \Abs{\chi'\left(\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}\right)}\cdot\frac{\Abs{P_{i}(z)}}{\delta_{i}} + \Abs{\chi'\left(\frac{\Abs{z-\alpha_{k}}^{2}}{\delta_{k}^{2}}\right)}\cdot\frac{\Abs{P_{k}(z)}}{\delta_{k}} \\
&{}+ \Abs{\chi'\left(\frac{\Abs{z-\alpha_{n}}^{2}}{\delta_{n}^{2}}\right)}\cdot\frac{\Abs{P_{n}(z)}}{\delta_{n}} \\
& \lesssim \sup_{z\in A_{i}}\left\{\frac{\Abs{P_{i}(z)}}{\delta_{i}}\right\} + \sup_{z\in A_{k}}\left\{\frac{\Abs{P_{k}(z)}}{\delta_{k}}\right\} + \sup_{z\in A_{n}}\left\{\frac{\Abs{P_{n}(z)}}{\delta_{n}}\right\}
\end{align*}
\end{document}
答案1
另一种选择是使用aligned
块:
\documentclass[a4paper,titlepage]{article}
\usepackage{amsmath,amssymb}
\newcommand*{\PartialConj}{\ensuremath{\bar{\partial}}}
\newcommand*{\Abs}[1]{\ensuremath{\left\lvert #1\right\rvert}}
\begin{document}
\begin{align*}
\Abs{\PartialConj F(z)}
& \leqslant \Abs{\chi'\left(\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}\right)}\cdot\frac{\Abs{P_{i}(z)}}{\delta_{i}}
\begin{aligned}[t]
&{}+ \Abs{\chi'\left(\frac{\Abs{z-\alpha_{k}}^{2}}{\delta_{k}^{2}}\right)}\cdot\frac{\Abs{P_{k}(z)}}{\delta_{k}} \\
&{}+ \Abs{\chi'\left(\frac{\Abs{z-\alpha_{n}}^{2}}{\delta_{n}^{2}}\right)}\cdot\frac{\Abs{P_{n}(z)}}{\delta_{n}}
\end{aligned}\\
& \lesssim \sup_{z\in A_{i}}\left\{\frac{\Abs{P_{i}(z)}}{\delta_{i}}\right\} + \sup_{z\in A_{k}}\left\{\frac{\Abs{P_{k}(z)}}{\delta_{k}}\right\} + \sup_{z\in A_{n}}\left\{\frac{\Abs{P_{n}(z)}}{\delta_{n}}\right\}
\end{align*}
\end{document}
答案2
一个快速而简单的解决方案是用于\phantom{}
第二行:
\documentclass{article}
\usepackage{mathtools}
\usepackage{amssymb}
\newcommand*{\PartialConj}{\ensuremath{\bar{\partial}}}
\newcommand*{\Abs}[1]{\ensuremath{\left\lvert #1\right\rvert}}
\begin{document}
\begin{align*}
\Abs{\PartialConj F(z)}
&\leqslant \Abs{\chi'\left(\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}\right)}\cdot\frac{\Abs{P_{i}(z)}}{\delta_{i}} + \Abs{\chi'\left(\frac{\Abs{z-\alpha_{k}}^{2}}{\delta_{k}^{2}}\right)}\cdot\frac{\Abs{P_{k}(z)}}{\delta_{k}} \\
& \,\phantom{\leqslant \Abs{\chi'\left(\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}\right)}\cdot\frac{\Abs{P_{i}(z)}}{\delta_{i}}}\,
+ \Abs{\chi'\left(\frac{\Abs{z-\alpha_{n}}^{2}}{\delta_{n}^{2}}\right)}\cdot\frac{\Abs{P_{n}(z)}}{\delta_{n}}\\
&\lesssim \sup_{z\in A_{i}}\left\{\frac{\Abs{P_{i}(z)}}{\delta_{i}}\right\} + \sup_{z\in A_{k}}\left\{\frac{\Abs{P_{k}(z)}}{\delta_{k}}\right\} + \sup_{z\in A_{n}}\left\{\frac{\Abs{P_{n}(z)}}{\delta_{n}}\right\}
\end{align*}
\end{document}
答案3
虽然不太容易,但在我的宏变体的帮助下是可以做到的\Cen
下https://tex.stackexchange.com/a/209732/4427
有一个小问题:下标的宽度钾不同于n,所以我们需要一个技巧。
我还使用来自的命令改进了这些表达式的外观和输入mathtools
;不要滥用\left
和\right
:正如您所见,这里的分隔符的大小更好。
\documentclass[a4paper,titlepage]{article}
\usepackage{amsmath,amssymb,mathtools,calc}
\newcommand*{\PartialConj}{\bar{\partial}}
\DeclarePairedDelimiter{\Abs}{\lvert}{\rvert}
\DeclarePairedDelimiter{\Paren}{(}{)}
\DeclarePairedDelimiter{\Brace}{\{}{\}}
\makeatletter
\newcommand{\Shove}[3][c]{%
\ifmeasuring@
#3%
\else
\makebox[\ifcase\expandafter #2\maxcolumn@widths\fi][#1]{$\displaystyle{#3}$}%
\fi
}
\makeatother
% a subscript k as wide as n
\newcommand{\kn}{{\mathmakebox[\widthof{$\scriptstyle n$}]{k}}}
\begin{document}
\begin{align*}
\Abs{\PartialConj F(z)}
& \leqslant \Abs[\bigg]{\chi'\Paren[\bigg]{\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}}}
\cdot
\frac{\Abs{P_{i}(z)}}{\delta_{i}}
+ \Abs[\bigg]{\chi'\Paren[\bigg]{\frac{\Abs{z-\alpha_{\kn}}^{2}}{\delta_{k}^{2}}}}
\cdot
\frac{\Abs{P_{\kn}(z)}}{\delta_{k}} \\
&\Shove[r]{2}{
{}+ \Abs[\bigg]{\chi'\Paren[\bigg]{\frac{\Abs{z-\alpha_{n}}^{2}}{\delta_{n}^{2}}}}
\cdot
\frac{\Abs{P_{n}(z)}}{\delta_{n}}
}\\
& \lesssim \sup_{z\in A_{i}}\Brace[\bigg]{\frac{\Abs{P_{i}(z)}}{\delta_{i}}}
+ \sup_{z\in A_{k}}\Brace[\bigg]{\frac{\Abs{P_{k}(z)}}{\delta_{k}}}
+ \sup_{z\in A_{n}}\Brace[\bigg]{\frac{\Abs{P_{n}(z)}}{\delta_{n}}}
\end{align*}
\end{document}
与更标准的方式进行比较
\documentclass[a4paper,titlepage]{article}
\usepackage{amsmath,amssymb,mathtools,calc}
\newcommand*{\PartialConj}{\bar{\partial}}
\DeclarePairedDelimiter{\Abs}{\lvert}{\rvert}
\DeclarePairedDelimiter{\Paren}{(}{)}
\DeclarePairedDelimiter{\Brace}{\{}{\}}
\makeatletter
\newcommand{\Shove}[3][c]{%
\ifmeasuring@
#3%
\else
\makebox[\ifcase\expandafter #2\maxcolumn@widths\fi][#1]{$\displaystyle{#3}$}%
\fi
}
\makeatother
\newcommand{\kn}{{\mathmakebox[\widthof{$\scriptstyle n$}]{k}}}
\begin{document}
\begin{align*}
\Abs{\PartialConj F(z)}
& \leqslant \Abs[\bigg]{\chi'\Paren[\bigg]{\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}}}
\cdot
\frac{\Abs{P_{i}(z)}}{\delta_{i}}
+ \Abs[\bigg]{\chi'\Paren[\bigg]{\frac{\Abs{z-\alpha_{\kn}}^{2}}{\delta_{k}^{2}}}}
\cdot
\frac{\Abs{P_{\kn}(z)}}{\delta_{k}} \\
& \qquad{}+ \Abs[\bigg]{\chi'\Paren[\bigg]{\frac{\Abs{z-\alpha_{n}}^{2}}{\delta_{n}^{2}}}}
\cdot
\frac{\Abs{P_{n}(z)}}{\delta_{n}}\\[1ex]
& \lesssim \sup_{z\in A_{i}}\Brace[\bigg]{\frac{\Abs{P_{i}(z)}}{\delta_{i}}}
+ \sup_{z\in A_{k}}\Brace[\bigg]{\frac{\Abs{P_{k}(z)}}{\delta_{k}}}
+ \sup_{z\in A_{n}}\Brace[\bigg]{\frac{\Abs{P_{n}(z)}}{\delta_{n}}}
\end{align*}
\end{document}
答案4
还有一个解决方案,使用array
,但与Denis的做法略有不同:
\documentclass{article}
\usepackage{amssymb,mathtools}
\newcommand*{\PartialConj}{\ensuremath{\bar{\partial}}}
\newcommand*{\Abs}[1]{\ensuremath{\left\lvert #1\right\rvert}}
\begin{document}
\begin{align*}
\Abs{\PartialConj F(z)}
& \setlength{\arraycolsep}{1pt}
\begin{array}[t]{ll}
\leqslant \Abs{\chi'\left(\frac{\Abs{z-\alpha_{i}}^{2}}{\delta_{i}^{2}}\right)}
\cdot\frac{\Abs{P_{i}(z)}}{\delta_{i}}
& + \Abs{\chi'\left(\frac{\Abs{z-\alpha_{k}}^{2}}{\delta_{k}^{2}}\right)}
\cdot\frac{\Abs{P_{k}(z)}}{\delta_{k}} \\[1.5ex]
& + \Abs{\chi'\left(\frac{\Abs{z-\alpha_{n}}^{2}}{\delta_{n}^{2}}\right)}
\cdot\frac{\Abs{P_{n}(z)}}{\delta_{n}}
\end{array}\\
& \lesssim \sup_{z\in A_{i}}\left\{\frac{\Abs{P_{i}(z)}}{\delta_{i}}\right\}
+ \sup_{z\in A_{k}}\left\{\frac{\Abs{P_{k}(z)}}{\delta_{k}}\right\}
+ \sup_{z\in A_{n}}\left\{\frac{\Abs{P_{n}(z)}}{\delta_{n}}\right\}
\end{align*}
\end{document}
编辑:通过\setlength{\arraycolsep}{1pt}
之前添加的\begin{array}
微调数组各部分之间的间距。