平均能量损失

Question

平均能量损失

在 3 个不同的位置绘制全角文字框数学样式使比较更容易：

\documentclass{article}
\usepackage[scaled=1.1]{newtxtext}
\usepackage[scaled=1.1]{newtxmath}
% newtxmath loads amsmath internally, so \text can be used
% It also does \DeclareMathSizes{10}{10}{7.3}{5.5}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\usepackage{graphicx}

\newcommand{\opticalsizes}[1]{%
  \begin{center}
  $\null$%
  \scalebox{4.015}{%
    \rlap{%
      \color{red}%
      \setlength{\fboxrule}{0.0996264pt}%
      \setlength{\fboxsep}{-\fboxrule}%
      \fbox{\rule[\dimexpr\the\fontdimen22\textfont2-.5\fontdimen6\textfont2\relax]{0pt}{\the\fontdimen6\textfont2\relax}%
            \rule{\the\fontdimen6\textfont2\relax}{0pt}}}%
    \rlap{$\textstyle#1$}}%
  \hspace{6.0225em}%
  \scalebox{5.5}{%
    \rlap{%
      \color{red}%
      \setlength{\fboxrule}{0.0727273pt}%
      \setlength{\fboxsep}{-\fboxrule}%
      \fbox{\rule[\dimexpr\the\fontdimen22\scriptfont2-.5\fontdimen6\scriptfont2\relax]{0pt}{\the\fontdimen6\scriptfont2\relax}%
            \rule{\the\fontdimen6\scriptfont2\relax}{0pt}}}%
    \rlap{$\scriptstyle#1$}}%
  \hspace{6.0225em}%
  \scalebox{7.3}{%
    \rlap{%
      \color{red}%
      \setlength{\fboxrule}{0.0547945pt}%
      \setlength{\fboxsep}{-\fboxrule}%
      \fbox{\rule[\dimexpr\the\fontdimen22\scriptscriptfont2-.5\fontdimen6\scriptscriptfont2\relax]{0pt}{\the\fontdimen6\scriptscriptfont2\relax}%
            \rule{\the\fontdimen6\scriptscriptfont2\relax}{0pt}}}%
    \rlap{$\scriptscriptstyle#1$}}%
  \hspace{4.015em}\strut%
  \end{center}
}

\begin{document}

\section{There are optical sizes for \texttt{\$M\$}}

\opticalsizes{\textit{M}}

\opticalsizes{M}

\section{But none for digits like \texttt{\$1\$}}

\opticalsizes{\text{1}}

\opticalsizes{1}

\end{document}

输出

我的观察

看起来newtxmath尝试使用newtx­text字体声明数学数字：

%      \iftx@minion
%      \else % newtxtext
%%      \DeclareMathSymbol{0}{\mathalpha}{letters}{48}
%%      \DeclareMathSymbol{1}{\mathalpha}{letters}{49}
%%      \DeclareMathSymbol{2}{\mathalpha}{letters}{50}
%%      \DeclareMathSymbol{3}{\mathalpha}{letters}{51}
%%      \DeclareMathSymbol{4}{\mathalpha}{letters}{52}
%%      \DeclareMathSymbol{5}{\mathalpha}{letters}{53}
%%      \DeclareMathSymbol{6}{\mathalpha}{letters}{54}
%%      \DeclareMathSymbol{7}{\mathalpha}{letters}{55}
%%      \DeclareMathSymbol{8}{\mathalpha}{letters}{56}
%%      \DeclareMathSymbol{9}{\mathalpha}{letters}{57}
%      \fi

我的问题

我还能使用数学数字的光学尺寸吗，或者它们只是缺失了newtx­math？

Answer 1

是的，OML 字体newtxmath有光学尺寸（5、7 和 10）。传统上不从此字体中取出数字，因为原始 OML 编码在相关位置有“小写数字”（旧式）。

您可以使用注释声明来获取数字的光学尺寸：

\DeclareMathSymbol{0}{\mathalpha}{letters}{48}
\DeclareMathSymbol{1}{\mathalpha}{letters}{49}
\DeclareMathSymbol{2}{\mathalpha}{letters}{50}
\DeclareMathSymbol{3}{\mathalpha}{letters}{51}
\DeclareMathSymbol{4}{\mathalpha}{letters}{52}
\DeclareMathSymbol{5}{\mathalpha}{letters}{53}
\DeclareMathSymbol{6}{\mathalpha}{letters}{54}
\DeclareMathSymbol{7}{\mathalpha}{letters}{55}
\DeclareMathSymbol{8}{\mathalpha}{letters}{56}
\DeclareMathSymbol{9}{\mathalpha}{letters}{57}

因为newtxmath字体在那些位置上确实有正常的直立数字。这是输出，我使用了 2 来更好地查看差异（我没有更改文本，在这种情况下听起来不对）。