如何排列这些方程组?

如何排列这些方程组?

考虑以下:

\documentclass[12pt, a4paper]{report}
\usepackage{amsfonts, graphicx, verbatim, mathtools,amssymb, amsthm, mathrsfs,amsmath}
\begin{document}
\begin{align*}
h_1(t)&=b_{11}(t)+\sum_{j\neq 1}\lvert b_{1 j}(t)\rvert\\[1ex]
&=-(\beta_A A+\beta_I I+\rho)+\beta_A S- (\gamma_A+\sigma+\gamma_I+\eta+\alpha+2\mu)+\frac{R'}{R}+ \xi\frac{R}{S}\\[1ex]
&=\beta S - (\gamma_A+\sigma+\gamma_I+\eta+\alpha+\mu)-\frac{b(1-\nu)}{S}+\frac{S'}{S}+\frac{R'}{R}\\[1ex]
&\leq \beta_A-\gamma_A-\sigma-\gamma_I-\eta-\alpha-\mu+\frac{S'}{S}+\frac{R'}{R}
\end{align*}
\begin{align*}
h_2(t)&= b_{22}(t)+\sum_{j\neq 2}\lvert b_{2 j}(t)\rvert\\[1ex]
&= -(\beta_A A+\beta_I I+\rho)+\beta_A S- (\gamma_A+\sigma+\xi+2\mu)+\frac{I'}{I}+  c (\gamma_I+\eta) \frac{I}{R}+c\beta_I \frac{S I}{A}\\
&+c\beta_I I\\[1ex]
&\leq  -\epsilon \beta_A - \rho-\xi-\mu+c(\xi+\mu)+\frac{I'}{I}+c\frac{A'}{A}+c\frac{R'}{R}
\end{align*}
\begin{align*}
h_3(t)&= b_{33}(t)+\sum_{j\neq 3}\lvert b_{3 j}(t)\rvert\\[1ex]
&= -(\beta_A A+\beta_I I+\rho)-(\gamma_I+\eta+\alpha+\xi+2\mu)+\frac{A'}{A}+\gamma_A\frac{A}{R}+ \sigma\frac{A}{c I}  +\beta_A A\\[1ex]
&\leq  -\epsilon \beta_I - \rho-\gamma_I-\eta-\alpha-\mu+\frac{\gamma_I+\eta+\alpha+\mu}{c}+\frac{A'}{A}+c\frac{I'}{c I}+c\frac{R'}{R}
\end{align*}
\begin{align*}
h_4(t)&= b_{44}(t)+\sum_{j\neq 4}\lvert b_{4 j}(t)\rvert\\[1ex]
&=  \beta_A S -(\gamma_A + \sigma+\gamma_I+\eta+\alpha+\xi+2\mu)+\frac{S'}{S} +\rho\frac{S}{R}+ \beta_I \frac{S I}{A}\\[1ex]
&\leq  \beta_A-\gamma_I-\eta-\alpha+\frac{S'}{S}+\frac{A'}{A}+\frac{R'}{R}
\end{align*}
\end{document}

h_4 与其余部分不对齐,我该怎么办?

如果我将它们全部对齐在一起,它将解决我的上述问题,但会在我的文档中留下一个“空间”,因为它们会进入一个新的页面,所以我该如何对齐它们而不留下剩余的空间?

答案1

您当前正在使用四个 [4!] 连续的独立align*环境。前三个环境看起来恰好是对齐的,这纯属巧合。

我建议你使用单身的 align*环境。如果您需要允许分页符,我建议您\displaybreak[0]在适当的位置插入指令。或者,如果您希望允许分页符任何地方在材料中,只需发出序言中的align*指令即可。\allowdisplaybreaks

在此处输入图片描述

\documentclass[12pt]{report}
\usepackage[a4paper,margin=2.5cm]{geometry} % set page parameters as needed
\usepackage{graphicx, verbatim, mathtools,amssymb, amsthm, mathrsfs}
\addtolength\jot{2pt} % extra spacing between rows of display math
\DeclarePairedDelimiter\abs\lvert\rvert % absolute-value macro

\begin{document}

\begin{align*}
h_1(t)&=b_{11}(t)+\sum\nolimits_{j\neq 1} \abs{b_{1 j}(t)} \\
&=-(\beta_A A+\beta_I I+\rho)+\beta_A S- (\gamma_A+\sigma+\gamma_I+\eta+\alpha+2\mu)+\frac{R'}{R}+ \xi\frac{R}{S}\\
&=\beta S - (\gamma_A+\sigma+\gamma_I+\eta+\alpha+\mu)-\frac{b(1-\nu)}{S}+\frac{S'}{S}+\frac{R'}{R}\\
&\leq \beta_A-\gamma_A-\sigma-\gamma_I-\eta-\alpha-\mu+\frac{S'}{S}+\frac{R'}{R} \displaybreak[0] \\[2ex]
%\end{align*}
%\begin{align*}
h_2(t)&= b_{22}(t)+\sum\nolimits_{j\neq 2} \abs{b_{2 j}(t)} \\
&= -(\beta_A A+\beta_I I+\rho)+\beta_A S- (\gamma_A+\sigma+\xi+2\mu)+\frac{I'}{I}+  c (\gamma_I+\eta) \frac{I}{R}\\
&\qquad+c\beta_I \frac{S I}{A}+c\beta_I I\\
&\leq  -\epsilon \beta_A - \rho-\xi-\mu+c(\xi+\mu)+\frac{I'}{I}+c\frac{A'}{A}+c\frac{R'}{R} \displaybreak[0]\\[2ex]
%\end{align*}
%\begin{align*}
h_3(t)&= b_{33}(t)+\sum\nolimits_{j\neq 3} \abs{b_{3 j}(t)} \\
&= -(\beta_A A+\beta_I I+\rho)-(\gamma_I+\eta+\alpha+\xi+2\mu)+\frac{A'}{A}+\gamma_A\frac{A}{R}+ \sigma\frac{A}{c I}  +\beta_A A\\
&\leq  -\epsilon \beta_I - \rho-\gamma_I-\eta-\alpha-\mu+\frac{\gamma_I+\eta+\alpha+\mu}{c}+\frac{A'}{A}+c\frac{I'}{c I}+c\frac{R'}{R} \displaybreak[0] \\[2ex]
%\end{align*}
%\begin{align*}
h_4(t)&= b_{44}(t)+\sum\nolimits_{j\neq 4} \abs{b_{4 j}(t)} \\
&=  \beta_A S -(\gamma_A + \sigma+\gamma_I+\eta+\alpha+\xi+2\mu)+\frac{S'}{S} +\rho\frac{S}{R}+ \beta_I \frac{S I}{A}\\[1ex]
&\leq  \beta_A-\gamma_I-\eta-\alpha+\frac{S'}{S}+\frac{A'}{A}+\frac{R'}{R}
\end{align*}

\end{document}

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