这是我上次复制的代码问题由 M. Logic 给出。
\documentclass[leqno]{book}
%%%fonts setting%%%%%%%%%%%%%%%%%%%%%%
%text fonts setting-----------------------------------
\usepackage[full]{textcomp}
\usepackage{newtxtext}%
%math fonts setting-------------------------------
\usepackage{amsmath}%use some basic math environments
\usepackage{amsfonts,mathrsfs}%use \mathcal, \mathfrak, \mathbb, \mathscr
\usepackage[lite]{mtpro2}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{hyperref}%use \eqref
\begin{document}
The following example comes from page 371 in the book you provided.
\begin{enumerate}
\item[3.] Note that
\[
\langle f,y\rangle\leq\lVert f\rVert\leq\lVert y\rVert\leq \frac{1}{2}\leq\lVert f\rVert^2+\frac{1}{2}\leq\lVert y\rVert^2.
\]
Conversely, assume that $f $satisfies
\begin{equation}
\frac{1}{2}\lVert y\rVert^2-\frac{1}{2}\lVert x\rVert^2\geq \langle f,y-x\rangle \forall y\in E.\tag{S1}\label{eq01}
\end{equation}
First choose $y = \lambda x$ with $\lambda\in\mathbb{R}$ in \eqref{eq01}; by varying $\lambda$ one sees that $\langle f,x\rangle=\lVert x\rVert^2$. Next choose $y$ in \eqref{eq01} such that $\lVert y\rVert=\delta\geq 0$; it follows that
\[
\langle f,y\rangle\leq \frac{1}{2}\delta^2+\frac{1}{2}\lVert x\rVert^2.
\]
\end{enumerate}
\end{document}
我使用的是mac操作系统，安装了texlive 2022，通过 编译代码之后xelatex，.log文件如下：
This is XeTeX, Version 3.141592653-2.6-0.999994 (TeX Live 2022) (preloaded format=xelatex 2022.5.31) 31 MAY 2022 17:45
entering extended mode
restricted \write18 enabled.
%&-line parsing enabled.
**test1
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VScode 终端显示
This is XeTeX, Version 3.141592653-2.6-0.999994 (TeX Live 2022) (preloaded format=xelatex)
restricted \write18 enabled.
entering extended mode
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L3 programming layer <2022-05-30>
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`newtxtext' v1.71, 2022/02/28 Text macros taking advantage of TeXGyre Termes an
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grep: mt2exa.log: No such file or directory
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?