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-rw-r--r--macros/latex/contrib/shtthesis/shtthesis-user-guide.tex71
1 files changed, 45 insertions, 26 deletions
diff --git a/macros/latex/contrib/shtthesis/shtthesis-user-guide.tex b/macros/latex/contrib/shtthesis/shtthesis-user-guide.tex
index bacc45a16f..16e951a3ff 100644
--- a/macros/latex/contrib/shtthesis/shtthesis-user-guide.tex
+++ b/macros/latex/contrib/shtthesis/shtthesis-user-guide.tex
@@ -206,6 +206,13 @@
url = {http://oaa.shanghaitech.edu.cn/2019/0321/c4666a41070/page.htm},
urldate = {2020-06-17}
}
+@online{clerkma2013unicode,
+ author = {Clerk Ma},
+ title = {如何在{XeTeX}中单独设置数学字体,为什么{STIX}的数学字体很牛?},
+ year = 2013,
+ url = {https://www.zhihu.com/question/20592491/answer/15577847},
+ urldate = {2020-06-30}
+}
\end{filecontents}
\begin{document}
@@ -230,14 +237,14 @@
\ifgraduate
\begin{nomenclatures}
\header[单位]{符号}{说明}
- \item[${m^{2} \cdot s^{-2} \cdot K^{-1}}$]{$R$}{the gas constant}
- \item[${m^{2} \cdot s^{-2} \cdot K^{-1}}$]{$C_v$}{specific heat capacity at constant volume}
- \item[${m^{2} \cdot s^{-2} \cdot K^{-1}}$]{$C_p$}{specific heat capacity at constant pressure}
- \item[${m^{2} \cdot s^{-2}}$]{$E$}{specific total energy}
- \item[${kg \cdot m \cdot s^{-3} \cdot K^{-1}}$]{$k$}{thermal conductivity}
- \item[${kg \cdot m^{-1} \cdot s^{-2}}$]{$S_{ij}$}{deviatoric stress tensor}
- \item[${kg \cdot m^{-1} \cdot s^{-2}}$]{$\tau_{ij}$}{viscous stress tensor}
- \item[${1}$]{$\delta_{ij}$}{Kronecker tensor}
+ \item[$\symup{{m^{2} \cdot s^{-2} \cdot K^{-1}}}$]{$R$}{the gas constant}
+ \item[$\symup{{m^{2} \cdot s^{-2} \cdot K^{-1}}}$]{$C_v$}{specific heat capacity at constant volume}
+ \item[$\symup{{m^{2} \cdot s^{-2} \cdot K^{-1}}}$]{$C_p$}{specific heat capacity at constant pressure}
+ \item[$\symup{{m^{2} \cdot s^{-2}}}$]{$E$}{specific total energy}
+ \item[$\symup{{kg \cdot m \cdot s^{-3} \cdot K^{-1}}}$]{$k$}{thermal conductivity}
+ \item[$\symup{{kg \cdot m^{-1} \cdot s^{-2}}}$]{$S_{ij}$}{deviatoric stress tensor}
+ \item[$\symup{{kg \cdot m^{-1} \cdot s^{-2}}}$]{$\tau_{ij}$}{viscous stress tensor}
+ \item[$\symup{{1}}$]{$\delta_{ij}$}{Kronecker tensor}
\end{nomenclatures}
\begin{nomenclatures}[缩写]
@@ -597,6 +604,16 @@ P(A|B) &= \frac{P(A)P(B|A)}{P(B)} \label{eq::bayesian}
\end{align}
同时重载了 \verb|\eqref|,使得公式编号格式修改后,其引用格式仍与 \textsf{amsmath} 无异:贝叶斯定理~\eqref{eq::bayesian}。排版本科生论文时不修改公式编号格式。
+\shtthesis{} 使用 \textsf{unicode-math} 宏包进行公式排版,因此在数学环境内既可以用标准 \LaTeX{} 宏,也可以直接输入 Unicode 符号。例如 $\oiint$ 符号可以通过 \verb|\oiint| 宏录入,也可以通过 Unicode 符号 $∯$ (对应 \verb|U+0222F| 码点) 录入。以下测试公式来自 \citet{clerkma2013unicode},其中所有字符均直接使用对应 Unicode 符号录入。
+\begin{align}
+& ⊢ ∀x[(Fx ∨ Gx) → \mathord{∼}Hx] \\
+& ⊨ ¬∃y∀x[x∈y ↔ x∉x] \\
+& ⊭ x ∩ (y ∪ z) ≠ (x ∩ y) ∪ (x ∩ z) \\
+& ⊢ ⟦α⟧ = ℵ₀ → α ≇ ℘(α) \\
+& ⌜ψ[(℩x)φx]⌝ ≝ ⌜(∃x)[φx ∧ (∀z)(φz ⊃ x=z) ∧ ψx]⌝ \\
+& ⊢ (P ⥽ Q) ⥽ (□P ⥽ ◇Q)
+\end{align}
+
\subsection{数学环境}
\shtthesis 通过 \textsf{amsthm} 宏包定义了常用的数学环境和证明环境,如表~\ref{tab::math_envs} 所列。其中,英文表示 tex 文档内调用的环境名称,中文表示排版后论文中显示的环境名称。
@@ -779,8 +796,8 @@ P(A|B) &= \frac{P(A)P(B|A)}{P(B)} \label{eq::bayesian}
本章中的测试材料,数学公式部分来自 \textsf{ucasthesis} 附录 B\footnote{\url{https://github.com/mohuangrui/ucasthesis/blob/master/Tex/Appendix.tex}},生僻字部分来自《生僻字大全(按部首分类)》\footnote{\url{http://xh.5156edu.com/page/z4745m2559j18770.html}}。
\section{排版数学公式}
-\providecommand{\Vector}[1]{\ensuremath{\mathbf{ #1 }}}
-\providecommand{\Tensor}[1]{\ensuremath{\mathbf{\mathsf{ #1 }}}}
+\providecommand{\Vector}[1]{\ensuremath{\symbf{ #1 }}}
+\providecommand{\Tensor}[1]{\ensuremath{\symbfsf{ #1 }}}
\begin{equation}
\begin{cases}
\frac{\partial \rho}{\partial t} + \nabla\cdot(\rho\Vector{V}) = 0 \\
@@ -789,26 +806,28 @@ P(A|B) &= \frac{P(A)P(B|A)}{P(B)} \label{eq::bayesian}
\end{cases}
\end{equation}
\begin{equation}
- \frac{\partial }{\partial t}\int\limits_{\Omega} u \, \mathrm{d}\Omega + \int\limits_{S} \Vector{n}\cdot(u\Vector{V}) \, \mathrm{d}S = \dot{\phi}
+ \frac{\partial }{\partial t}\int\limits_{\Omega} u \, \symup{d}\Omega + \int\limits_{S} \Vector{n}\cdot(u\Vector{V}) \, \symup{d}S = \dot{\phi}
\end{equation}
-\[
+\begin{equation*}
\begin{split}
- \mathcal{L} \{f\}(s) &= \int _{0^{-}}^{\infty} f(t) e^{-st} \, \mathrm{d}t, \
- \mathscr{L} \{f\}(s) = \int _{0^{-}}^{\infty} f(t) e^{-st} \, \mathrm{d}t\\
- \mathcal{F} {\bigl (} f(x+x_{0}) {\bigr )} &= \mathcal{F} {\bigl (} f(x) {\bigr )} e^{2\pi i\xi x_{0}}, \
- \mathscr{F} {\bigl (} f(x+x_{0}) {\bigr )} = \mathscr{F} {\bigl (} f(x) {\bigr )} e^{2\pi i\xi x_{0}}
+ \symcal{L} \{f\}(s) &= \int _{0^{-}}^{\infty} f(t) e^{-st} \, \symup{d}t, \
+ \symscr{L} \{f\}(s) = \int _{0^{-}}^{\infty} f(t) e^{-st} \, \symup{d}t\\
+ \symcal{F} {\bigl (} f(x+x_{0}) {\bigr )} &= \symcal{F} {\bigl (} f(x) {\bigr )} e^{2\pi i\xi x_{0}}, \
+ \symscr{F} {\bigl (} f(x+x_{0}) {\bigr )} = \symscr{F} {\bigl (} f(x) {\bigr )} e^{2\pi i\xi x_{0}}
\end{split}
-\]
-
-Ordinary math: $A,F,L,2,3,5,\sigma$. \verb|\mathrm|: $\mathrm{A,F,L,2,3,5,\sigma}$.
-
-\verb|\mathbf|: $\mathbf{A,F,L,2,3,5,\sigma}$. \verb|\mathit|: $\mathit{A,F,L,2,3,5,\sigma}$.
-
-\verb|\mathsf|: $\mathsf{A,F,L,2,3,5,\sigma}$. \verb|\mathtt|: $\mathtt{A,F,L,2,3,5,\sigma}$.
+\end{equation*}
-\verb|\mathfrak|: $\mathfrak{A,F,L,2,3,5,\sigma}$. \verb|\mathbb|: $\mathbb{A,F,L,2,3,5,\sigma}$.
-
-\verb|\mathcal|: $\mathcal{A,F,L,2,3,5,\sigma}$. \verb|\mathscr|: $\mathscr{A,F,L,2,3,5,\sigma}$.
+\begin{center}
+\begin{tabular}{*{4}{l}}
+ \toprule
+ Ordinary math& $A,F,L,2,3,5,\sigma$& \verb|\symup|& $\symup{A,F,L,2,3,5,\sigma}$ \\
+ \verb|\symbf|& $\symbf{A,F,L,2,3,5,\sigma}$& \verb|\symit|& $\symit{A,F,L,2,3,5,\sigma}$ \\
+ \verb|\symsf|& $\symsf{A,F,L,2,3,5,\sigma}$& \verb|\symtt|& $\symtt{A,F,L,2,3,5,\sigma}$ \\
+ \verb|\symfrak|& $\symfrak{A,F,L,2,3,5,\sigma}$& \verb|\symbb|& $\symbb{A,F,L,2,3,5,\sigma}$ \\
+ \verb|\symcal|& $\symcal{A,F,L,2,3,5,\sigma}$& \verb|\symscr|& $\symscr{A,F,L,2,3,5,\sigma}$ \\
+ \bottomrule
+\end{tabular}
+\end{center}
\section{排版生僻字} \label{sec::chs_rare}
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