在 TTF 字体（LuaLaTeX）中声明特定的数学符号

Question

数学字母和运算符形成一个集合，因此混合搭配通常需要不同类型的低级调整。

话虽如此，导入符号有多种方式和方法。

（1）

最简单的方法是将字形作为图像\PDF 包含进来，并在需要时调整大小等，就像 Griffiths 所做的那样：

代码：

\documentclass{report}

\usepackage{graphicx}

\def\rcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{ScriptR}}$}}}
\def\brcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{BoldR}}$}}}
\def\hrcurs{{\mbox{$\hat \brcurs$}}}


\begin{document}

Here's a sample:

$\resizebox{.16in}{.08in}{\includegraphics{BoldR}}$

Can I put it into a line of type?  $\resizebox{.21in}{.11in}{\includegraphics{BoldR}}$

How about using the macro: \brcurs.

How about using the macro: \rcurs?

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
{\bf E} = {1\over 4\pi\epsilon_0}\int {\rho\over \rcurs^2}{\hrcurs}\,d\tau.
\end{equation}

\end{document}

查看 Griffiths zip 文件http://academic.reed.edu/physics/faculty/griffiths/script_r.zip，通过Script-r 符号

（2）

其次最简单的方法是使用以下\math...函数之一（此处为\mathord）：使用 \Umathchardef 在 XeTeX 中定义可变大小的数学符号通过LuaTeX：在数学模式下使用其他字体的单个符号

以下是列表：

（texdoc 源2e）

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\newfontfamily{\miama}{Miama}[Colour=red,
Scale=1.3,
Path=C:/Users/.../tl/texlive/2020/texmf-dist/fonts/opentype/public/miama/,
Extension=.otf,
UprightFont=*,
]

\DeclareRobustCommand\mysym{%
  \mathord{\text{\normalfont\miama r}}%
}

%\def\rcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{ScriptR}}$}}}
%\def\brcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{BoldR}}$}}}
%\def\hrcurs{{\mbox{$\hat \brcurs$}}}
\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\begin{document}

\fbox{Asana-Math: $\mbfscrr, \mscrr $}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\renewcommand\mbfscrr{{\mysym}}
\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\bigskip
\fbox{Miama: $\mysym$}

Here's a sample:

$\mysym$

Can I put it into a line of type?  $\mysym$

How about using the macro: \hrcurs?

What if it's in an equation?


\begin{equation}

\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\end{document}

（2a）

要正确调整重音，需要进行字距调整等。这里，一种不同的非数学字体避免了这个问题：

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\newfontfamily{\gfs}{GFSBodoni}[Colour=red,
Scale=1.3,
Path=C:/Users/.../tl/texlive/2020/texmf-dist/fonts/opentype/public/gfsbodoni/,
Extension=.otf,
UprightFont=*,
ItalicFont=GFSBodoniIt,
BoldFont=GFSBodoniBold,
BoldItalicFont=GFSBodoniBoldIt,
]

\DeclareRobustCommand\mysymbi{%
  \mathord{\text{\normalfont\gfs\bfseries\itshape r}}%
}
\DeclareRobustCommand\mysym{%
  \mathord{\text{\normalfont\gfs\itshape r}}%
}

\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\begin{document}

\fbox{Asana-Math: $\mbfscrr, \mscrr $}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\renewcommand\mbfscrr{{\mysymbi}}
\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\bigskip
\fbox{GFS Bodoni: $\mysymbi, \mysym$}

Here's a sample:

$\mysym$

Can I put it into a line of type?  $\mysym$

How about using the macro: \hrcurs?

What if it's in an equation?


\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mysym^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\end{document}

（3）

接下来，使用unicode-math包的range=字体选项进行映射。

从 Unicode 数学字体映射：

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\begin{document}

\fbox{Asana-Math: $\mbfscrr,\mscrr$}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\setmathfont{TexGyreSchola-Math}[range={\mbfscrr,\mscrr},Colour=red]

\bigskip
\fbox{TexGyreSchola-Math: $\mbfscrr,\mscrr$}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\end{document}

（4）

\DeclareMathSymbol使用传统字体技术。可以通过包（因此 xelatex 或 lualatex 作为编译器）为 ttf\otf 字体分配一个 NFSS 别名fontspec，然后根据链接的问题执行多个步骤来使用。

该选项是NFSSFamily=。

示例使用QTFloraline字体（在 tex 分布中）L，它有常规字体和粗体字体。请用您的 kaufmann 文件替换。

平均能量损失

\documentclass{article}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\newfontface\ffontc{QTFloraline}[
Extension=.otf,
UprightFont=*,
BoldFont=*-Bold,
NFSSFamily=floraline,
]


\usepackage{bm}
\DeclareFontFamily{U}{floraline}{}
\DeclareFontShape{U}{floraline}{m}{n}{<-> QTFloraline}{}
\DeclareFontShape{U}{floraline}{b}{n}{<-> QTFloraline-Bold}{}
\DeclareSymbolFont{myfloraline}{U}{floraline}{m}{n}
\SetSymbolFont{myfloraline}{bold}{U}{floraline}{b}{n}
\DeclareMathSymbol{\rcurs}{\mathalpha}{myfloraline}{`\r}
\DeclareBoldMathCommand{\brcurs}{\rcurs}
\newcommand*\hrcurs{\hat{\brcurs}}

\begin{document}

\[
  \mathbf{E}(\mathbf{r}) = \frac{1}{4 \pi \epsilon_0} \int\limits_{\mathcal{V}} \frac{\rho(\mathbf{r}')}{\rcurs^2} \hrcurs d \tau'
\]


Using \texttt{unicode-math} macros:

\[
  \symbfup{E}(\symbfup{r}) = \frac{1}{4 \mitpi \mitepsilon_0} \int\limits_{\symcal{V}} \frac{\mitrho(\symbfup{r}')}{\rcurs^2} \hrcurs d \mittau'
\]


\end{document}

（5）

对于一两个符号来说，该\mathord{}方法更简单，并且也不会用尽整个数学字母表。

事实证明，unicode-math定义了两个宏，\mbfscrr和\mscrr。这些可以renewcommand通过重新定义（）\mathord，就是这样。

代码逐步完成需要更改的各个阶段，说明每个结果，并使用QTChanceryType字体达到最后一步：

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}
\newfontface\bodb{BOD_BLAR.TTF}[Colour=red]

\newfontface\ffontbreg{QTChanceryType.otf}
\newfontface\ffontbbold{QTChanceryType-Bold.otf}

\DeclareRobustCommand\xmbfscrr{%
\mathord{\text{\normalfont\bodb A}}%
}
\DeclareRobustCommand\myscrr{%
\mathord{\text{\normalfont\ffontbreg r}}%
}
\DeclareRobustCommand\mybfscrr{%
\mathord{\text{\normalfont\ffontbbold r}}%
}


\begin{document}

%======================: 0: base
\fbox{Asana-Math: $\mbfscrr,\mscrr$}
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}


%======================: 1: A
\renewcommand{\mbfscrr}{A}

\bigskip
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}


%======================: 2: A from another font
\renewcommand{\mbfscrr}{{\xmbfscrr}}

\bigskip
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}


%======================:  3: r and bold r, from another font
\renewcommand{\mbfscrr}{{\mybfscrr}}
\renewcommand{\mscrr}{{\myscrr}}

\bigskip
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}



\end{document}

附录

为了避免歧义，就字体而言，文本模式和数学模式是完全不同的世界。

斜体 x (

Answer 1

数学字母和运算符形成一个集合，因此混合搭配通常需要不同类型的低级调整。

话虽如此，导入符号有多种方式和方法。

（1）

最简单的方法是将字形作为图像\PDF 包含进来，并在需要时调整大小等，就像 Griffiths 所做的那样：

代码：

\documentclass{report}

\usepackage{graphicx}

\def\rcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{ScriptR}}$}}}
\def\brcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{BoldR}}$}}}
\def\hrcurs{{\mbox{$\hat \brcurs$}}}


\begin{document}

Here's a sample:

$\resizebox{.16in}{.08in}{\includegraphics{BoldR}}$

Can I put it into a line of type?  $\resizebox{.21in}{.11in}{\includegraphics{BoldR}}$

How about using the macro: \brcurs.

How about using the macro: \rcurs?

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
{\bf E} = {1\over 4\pi\epsilon_0}\int {\rho\over \rcurs^2}{\hrcurs}\,d\tau.
\end{equation}

\end{document}

查看 Griffiths zip 文件http://academic.reed.edu/physics/faculty/griffiths/script_r.zip，通过Script-r 符号

（2）

其次最简单的方法是使用以下\math...函数之一（此处为\mathord）：使用 \Umathchardef 在 XeTeX 中定义可变大小的数学符号通过LuaTeX：在数学模式下使用其他字体的单个符号

以下是列表：

（texdoc 源2e）

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\newfontfamily{\miama}{Miama}[Colour=red,
Scale=1.3,
Path=C:/Users/.../tl/texlive/2020/texmf-dist/fonts/opentype/public/miama/,
Extension=.otf,
UprightFont=*,
]

\DeclareRobustCommand\mysym{%
  \mathord{\text{\normalfont\miama r}}%
}

%\def\rcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{ScriptR}}$}}}
%\def\brcurs{{\mbox{$\resizebox{.16in}{.08in}{\includegraphics{BoldR}}$}}}
%\def\hrcurs{{\mbox{$\hat \brcurs$}}}
\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\begin{document}

\fbox{Asana-Math: $\mbfscrr, \mscrr $}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\renewcommand\mbfscrr{{\mysym}}
\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\bigskip
\fbox{Miama: $\mysym$}

Here's a sample:

$\mysym$

Can I put it into a line of type?  $\mysym$

How about using the macro: \hrcurs?

What if it's in an equation?


\begin{equation}

\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\end{document}

（2a）

要正确调整重音，需要进行字距调整等。这里，一种不同的非数学字体避免了这个问题：

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\newfontfamily{\gfs}{GFSBodoni}[Colour=red,
Scale=1.3,
Path=C:/Users/.../tl/texlive/2020/texmf-dist/fonts/opentype/public/gfsbodoni/,
Extension=.otf,
UprightFont=*,
ItalicFont=GFSBodoniIt,
BoldFont=GFSBodoniBold,
BoldItalicFont=GFSBodoniBoldIt,
]

\DeclareRobustCommand\mysymbi{%
  \mathord{\text{\normalfont\gfs\bfseries\itshape r}}%
}
\DeclareRobustCommand\mysym{%
  \mathord{\text{\normalfont\gfs\itshape r}}%
}

\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\begin{document}

\fbox{Asana-Math: $\mbfscrr, \mscrr $}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\renewcommand\mbfscrr{{\mysymbi}}
\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\bigskip
\fbox{GFS Bodoni: $\mysymbi, \mysym$}

Here's a sample:

$\mysym$

Can I put it into a line of type?  $\mysym$

How about using the macro: \hrcurs?

What if it's in an equation?


\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mysym^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\end{document}

（3）

接下来，使用unicode-math包的range=字体选项进行映射。

从 Unicode 数学字体映射：

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\def\hrcurs{{\mbox{$\hat\mbfscrr$}}}

\begin{document}

\fbox{Asana-Math: $\mbfscrr,\mscrr$}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\setmathfont{TexGyreSchola-Math}[range={\mbfscrr,\mscrr},Colour=red]

\bigskip
\fbox{TexGyreSchola-Math: $\mbfscrr,\mscrr$}

Here's a sample:

$\mbfscrr$

Can I put it into a line of type?  $\mbfscrr$

How about using the macro: \hrcurs?

What if it's in an equation?

\begin{equation}
\symbf{E} = {1\over 4\mitpi\mitepsilon_0}\int {\mitrho\over \mscrr^2}{\hat\mbfscrr}\,d\mittau.
\end{equation}


\end{document}

（4）

\DeclareMathSymbol使用传统字体技术。可以通过包（因此 xelatex 或 lualatex 作为编译器）为 ttf\otf 字体分配一个 NFSS 别名fontspec，然后根据链接的问题执行多个步骤来使用。

该选项是NFSSFamily=。

示例使用QTFloraline字体（在 tex 分布中）L，它有常规字体和粗体字体。请用您的 kaufmann 文件替换。

平均能量损失

\documentclass{article}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}

\newfontface\ffontc{QTFloraline}[
Extension=.otf,
UprightFont=*,
BoldFont=*-Bold,
NFSSFamily=floraline,
]


\usepackage{bm}
\DeclareFontFamily{U}{floraline}{}
\DeclareFontShape{U}{floraline}{m}{n}{<-> QTFloraline}{}
\DeclareFontShape{U}{floraline}{b}{n}{<-> QTFloraline-Bold}{}
\DeclareSymbolFont{myfloraline}{U}{floraline}{m}{n}
\SetSymbolFont{myfloraline}{bold}{U}{floraline}{b}{n}
\DeclareMathSymbol{\rcurs}{\mathalpha}{myfloraline}{`\r}
\DeclareBoldMathCommand{\brcurs}{\rcurs}
\newcommand*\hrcurs{\hat{\brcurs}}

\begin{document}

\[
  \mathbf{E}(\mathbf{r}) = \frac{1}{4 \pi \epsilon_0} \int\limits_{\mathcal{V}} \frac{\rho(\mathbf{r}')}{\rcurs^2} \hrcurs d \tau'
\]


Using \texttt{unicode-math} macros:

\[
  \symbfup{E}(\symbfup{r}) = \frac{1}{4 \mitpi \mitepsilon_0} \int\limits_{\symcal{V}} \frac{\mitrho(\symbfup{r}')}{\rcurs^2} \hrcurs d \mittau'
\]


\end{document}

（5）

对于一两个符号来说，该\mathord{}方法更简单，并且也不会用尽整个数学字母表。

事实证明，unicode-math定义了两个宏，\mbfscrr和\mscrr。这些可以renewcommand通过重新定义（）\mathord，就是这样。

代码逐步完成需要更改的各个阶段，说明每个结果，并使用QTChanceryType字体达到最后一步：

平均能量损失

\documentclass{report}
\usepackage{xcolor}
\usepackage{unicode-math}
\setmathfont{Asana-Math}
\newfontface\bodb{BOD_BLAR.TTF}[Colour=red]

\newfontface\ffontbreg{QTChanceryType.otf}
\newfontface\ffontbbold{QTChanceryType-Bold.otf}

\DeclareRobustCommand\xmbfscrr{%
\mathord{\text{\normalfont\bodb A}}%
}
\DeclareRobustCommand\myscrr{%
\mathord{\text{\normalfont\ffontbreg r}}%
}
\DeclareRobustCommand\mybfscrr{%
\mathord{\text{\normalfont\ffontbbold r}}%
}


\begin{document}

%======================: 0: base
\fbox{Asana-Math: $\mbfscrr,\mscrr$}
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}


%======================: 1: A
\renewcommand{\mbfscrr}{A}

\bigskip
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}


%======================: 2: A from another font
\renewcommand{\mbfscrr}{{\xmbfscrr}}

\bigskip
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}


%======================:  3: r and bold r, from another font
\renewcommand{\mbfscrr}{{\mybfscrr}}
\renewcommand{\mscrr}{{\myscrr}}

\bigskip
\begin{equation}
\symbfup{E} = {\frac{1}{4\mitpi\mitepsilon_0}}\int {\frac{\mitrho}{\mscrr^2}}{\hat\mbfscrr}\,d\mittau.
\end{equation}



\end{document}

附录

为了避免歧义，就字体而言，文本模式和数学模式是完全不同的世界。

斜体 x (

在 TTF 字体（LuaLaTeX）中声明特定的数学符号

答案1

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