\documentclass[reqno]{amsart}
\usepackage{hyperref}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{enumitem}
\usepackage{mathtools}
\usepackage{amsmath}
\usepackage{etoolbox}
$\begin{matrix}
T(X_1,X_2)(t)& \subset& \left\{\int_{0}^{t} K(t, s) f(s, x(s),y(s)) d s: \; x\in X_1,\,y\in X_2\right\} \\
\\
&\subset& t.\,\overline{conv}\Big(\left\{ f(s, x(s),y(s)) d s: \; x\in X_1,\,y\in X_2,\: s \in[0, t]\right\}\Big) \\
\\
&\subset& t.\,\overline{conv}\Big(f(I\times X_1\times X_2)\Big) .
\end{matrix}$
By \ref{CApp}, we conclude \[\begin{matrix}
\beta \Big(T(X_1,X_2)(t)\Big) &\leq& t. \beta\big(f(I \times X_1\times X_2)\big)\\
&\leq& \max \{\beta(X_1),\beta(X_2)\}-\delta \Big(\max \{\beta(X_1),\beta(X_2)\}\Big)\,.
\end{matrix}\]
\end{document}
答案1
我猜你正在关注以下事情:
\documentclass[reqno]{amsart}
\usepackage{amsmath}
\begin{document}
\begin{align*}
T(X_1,X_2)(t)
& \subset \left\{\int_{0}^{t} K(t,s) f(s,x(s),y(s)) d s:\;
x\in X_1,\,y\in X_2\right\} \\
&\subset t.\,\overline{conv}\bigl(\left\{ f(s,x(s),y(s)) d s: \;
x\in X_1,\,y\in X_2,\: s \in[0, t]\right\}\bigr) \\
&\subset t.\,\overline{conv}\bigl(f(I\times X_1\times X_2)\bigr) . \\
\intertext{By \ref{CApp}, we conclude}
\beta \big(T(X_1,X_2)(t)\big)
&\leq t. \beta\big(f(I \times X_1\times X_2)\big) \\
&\leq \max \bigl\{\beta(X_1),\beta(X_2)\bigr\}-\delta \bigl(\max \{\beta(X_1),\beta(X_2)\}\bigr)\,.
\end{align*}
\end{document}
如您所见,上面的 MWE(最小工作示例)使用了 align*
数学环境,其设计目的类似。