Initial commit

author: Norbert Preining <norbert@preining.info> 2019-09-02 13:46:59 +0900
committer: Norbert Preining <norbert@preining.info> 2019-09-02 13:46:59 +0900
commit: e0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree: 60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/latex/contrib/thucoursework
10 files changed, 4094 insertions, 0 deletions
diff --git a/macros/latex/contrib/thucoursework/Makefile b/macros/latex/contrib/thucoursework/Makefile
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+# Makefile for thucoursework
+
+# Compiling method: xelatex/pdflatex
+PACKAGE = thucoursework
+INSTALL_PACKAGE = install-tl-unx.tar.gz
+INSTALL_DIR = ./install-texlive
+# automatic configuration of mirror
+REMOTE_INSTALLER_URL = http://mirror.ctan.org/systems/texlive/tlnet
+# Set opts for latexmk if you use it
+LATEXMKOPTS = -xelatex -halt-on-error -interaction=nonstopmode
+
+
+.PHONY: doc all archive pre_install_dep install_dep after_install_dep clean test
+
+all: after_install_dep iihw.pdf ithw.pdf
+
+pre_install_dep: $(INSTALL_PACKAGE)
+
+after_install_dep: install_dep
+	# tricky, to make variable assignment in recipe, and to execute shell command and assign the print result to a variable.
+	$(eval PLATFORM1=`$(INSTALL_DIR)/install-tl --print-platform`)
+	$(eval PLATFORM2=$(shell echo $(PLATFORM1)))
+	$(eval PLATFORM3=$(shell pwd))
+	$(eval export PATH :=$(PLATFORM3)/texlive/bin/$(PLATFORM2):$(PATH))
+	echo $$PATH	
+	# to make tlmgr work, we need perl
+	tlmgr install xkeyval matlab-prettifier caption doublestroke xcolor listings l3kernel l3packages ms ulem fontspec environ trimspaces booktabs moreenum mathtools oberdiek enumitem fmtcount etoolbox latex-bin
+install_dep: pre_install_dep
+	mkdir -p $(INSTALL_DIR)
+	tar -zxvf $(INSTALL_PACKAGE) -C $(INSTALL_DIR) --strip-components 1 
+	$(INSTALL_DIR)/install-tl -profile tl.profile
+
+$(INSTALL_PACKAGE): 
+	wget $(REMOTE_INSTALLER_URL)/$(INSTALL_PACKAGE)
+
+clean: 
+	rm -fr $(INSTALL_DIR)
+	rm -f *.idx *.ilg *.glo *.gls *.hd *.ind *.log *.out *.synctex.gz *.toc *.aux
+
+iihw.pdf: iihw.tex after_install_dep
+	pdflatex iihw.tex
+
+ithw.pdf: ithw.tex after_install_dep
+	xelatex ithw.tex
+
+archive:
+	# make tar.gz which is submitted to ctan.org
+	# first copy the necessary files to the dist dir
+	cp README.md iihw.pdf ithw.pdf iihw.tex ithw.tex matlabscript.m pdf_normal.eps thucoursework.dtx thucoursework.pdf Makefile thucoursework/ 
+	# then tar it
+	COPYFILE_DISABLE=1 tar -zcvf thucoursework.tar.gz thucoursework/
+doc : $(PACKAGE).pdf
+
+$(PACKAGE).pdf : $(PACKAGE).dtx
+	#latexmk $(LATEXXMKOPTS) $(PACKAGE).dtx
+	xelatex $(PACKAGE).dtx
+	makeindex -s gind.ist -o $(PACKAGE).ind $(PACKAGE).idx
+	makeindex -s gglo.ist -o $(PACKAGE).gls $(PACKAGE).glo
+	xelatex $(PACKAGE).dtx
+	xelatex -synctex=1 $(PACKAGE).dtx
+
+test:
+	# first clear out root texlive bin dir
+	$(eval export PATH := /bin:/usr/bin)
+	echo $$PATH
+	$(eval PLATFORM1=`$(INSTALL_DIR)/install-tl --print-platform`)
+	$(eval PLATFORM2=$(shell echo $(PLATFORM1)))
+	$(eval PLATFORM3=$(shell pwd))
+	$(eval export PATH := $(PLATFORM3)/texlive/bin/$(PLATFORM2):$(PATH))
+	echo $$PATH
+	tlmgr --version
diff --git a/macros/latex/contrib/thucoursework/README.md b/macros/latex/contrib/thucoursework/README.md
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--- /dev/null
+++ b/macros/latex/contrib/thucoursework/README.md
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+# THU coursework Template
+[![Build Status](https://www.travis-ci.org/zhaofeng-shu33/THU-coursework-template.svg?branch=master)](https://www.travis-ci.org/zhaofeng-shu33/THU-coursework-template)
+LaTeX package for students in Tsinghua University to write coursework more efficiently, also can be used by students from other university.
+
+Notice that the package itself does not import ctex package, to use it with Chinese writing, see example file `ithw.tex` for detail.
+
+## Features
+
+ * support custom courseheader
+ * automatic header setting
+ * support coursework counter
+ * definition of common math symbols
+
+## ToDo
+
+ * automatic enumerate environment labeling and reference
+
+## Compile from source
+
+Use `make doc` or run the following commands one by one:
+
+    xelatex thucoursework.dtx
+    makeindex -s gind.ist -o thucoursework.ind thucoursework.idx
+    makeindex -s gglo.ist -o thucoursework.gls thucoursework.glo
+    xelatex thucoursework.dtx
+    xelatex thucoursework.dtx
+
+## Usage
+
+`\usepackage{iidef}` and you are ready to go!
+
+## Help
+  see manual `thucoursework.pdf`
+
+## Sample File
+
+ * `iihw.tex` is the homework of **Information Inference**
+ * `ithw.tex` is the homework of **Information Theory**, chinese version (to make it work, use `ctex` package in user file.)
+
+## Contributors
+
+ TA xiangxiangxu revised this template, zhaofeng-shu33 made it a latex package.
+
+## License
+ see [LICENSE.md](LICENSE.md) for detail.
+
+
diff --git a/macros/latex/contrib/thucoursework/iihw.pdf b/macros/latex/contrib/thucoursework/iihw.pdf
new file mode 100644
index 0000000000..a9582fec98
--- /dev/null
+++ b/macros/latex/contrib/thucoursework/iihw.pdf
diff --git a/macros/latex/contrib/thucoursework/iihw.tex b/macros/latex/contrib/thucoursework/iihw.tex
new file mode 100644
index 0000000000..b444b3d01b
--- /dev/null
+++ b/macros/latex/contrib/thucoursework/iihw.tex
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+% Sample tex file for usage of iidef.sty
+% Homework template for Inference and Information
+% UPDATE: October 12, 2017 by Xiangxiang
+% UPDATE: 22/03/2018 by zhaofeng-shu33
+\documentclass[a4paper]{article}
+\usepackage[T1]{fontenc}
+\usepackage{amsmath, amssymb, amsthm}
+% amsmath: equation*, amssymb: mathbb, amsthm: proof
+\usepackage{moreenum}
+\usepackage{mathtools}
+\usepackage{url}
+\usepackage[outdir=./]{epstopdf}
+\usepackage{graphicx}
+\usepackage{subcaption}
+\usepackage{booktabs} % toprule
+\usepackage[mathcal]{eucal}
+\usepackage{dsfont}
+
+\usepackage[numbered,framed]{matlab-prettifier}
+\lstset{
+  style              = Matlab-editor,
+  captionpos         =b,
+  basicstyle         = \mlttfamily,
+  escapechar         = ",
+  mlshowsectionrules = true,
+}
+
+\usepackage[thehwcnt = 6]{iidef}
+\thecourseinstitute{Tsinghua-Berkeley Shenzhen Institute}
+\thecoursename{Information Inference}
+\theterm{Fall 2017}
+\hwname{Coursework}
+\begin{document}
+\courseheader
+\name{YOUR NAME}
+\rule{\textwidth}{1pt}
+\begin{itemize}
+\item {\bf Acknowledgments: \/} 
+  This template takes some materials from course CSE 547/Stat 548 of Washington University: \small{\url{https://courses.cs.washington.edu/courses/cse547/17sp/index.html}}.
+
+  If you refer to other materials in your homework, please list here.
+\item {\bf Collaborators: \/}
+  I finish this template by myself. If you finish your homework all by yourself, make a similar statement. If you get help from others in finishing your homework, state like this:
+  \begin{itemize}
+  \item 1.2 (b) was solved with the help from \underline{\hspace{3em}}.
+  \item Discussion with \underline{\hspace{3em}} helped me finishing 1.3.
+  \end{itemize}
+\end{itemize}
+\rule{\textwidth}{1pt}
+
+\vspace{2em}
+
+You may use \texttt{enumerate} to generate answers for each question:
+
+\begin{enumerate}
+  \setlength{\itemsep}{3\parskip}
+
+  \item Type of commonly used notations. Use another \texttt{enumerate} to start generate answers for sub-questions:
+    \begin{enumerate}
+    \item Use \verb|$ $| to get an inline equation: $\Prob(A) = \E[\1_A(\omega)]$.
+    \item Use \texttt{equation} to have equation in display math mode:
+      \begin{equation}
+        \frac{a + b}{2} \geq \sqrt{ab}
+        \label{eq:1}
+      \end{equation}
+      
+    \item Use \verb|\eqref| to get reference for equations: \eqref{eq:1} holds when $a\geq 0, b\geq 0$.
+      
+    \item Now we would introduce some commonly used notations:
+      \begin{enumerate}
+      \item Use \verb|\mathbb{P}, \mathbb{R}, \mathbb{E}| to type $\mathbb{P}, \mathbb{R}, \mathbb{E}$.
+      \item Use \verb|\mathcal{A}, \mathcal{X}, \mathcal{Y}, \mathcal{N}| to type $\mathcal{A}, \mathcal{X}, \mathcal{Y}, \mathcal{N}$.
+      \item Use \verb|\underline{x}, \underline{y}| to type vectors $\underline{x}, \underline{y}$.
+      \item Use \verb|\mathsf{x}, \mathsf{y}, \mathsf{z}| to type random variables $\rvx, \rvy, \rvz$. For simplicity, I have defined several macros so you could simply type \verb|\rvx, \rvy, \rvz|. Don't forget \verb|$ $|!
+      \item Thanks to these macros, we could have $\reals, \E[\rvx], \Var(\rvy), \Prob(A), \independent, \1$ by typing \verb|\reals, \E[\rvx], \Var(\rvy), \Prob(A),\independent,| \verb|\1|.
+      \item Now you can use \verb|\ux, \uy, \uz| to type vectors $\ux, \uy, \uz$, and use \verb|\urvx, \urvy, \urvz| to type random vectors $\urvx, \urvy, \urvz$.   
+      \item Remember that $P_{\rvx|\rvy}(x|y) \defas \Prob(\rvx = x|\rvy = y)$.
+        \begin{enumerate}
+        \item Writing $\Prob(x)$ is wrong. $\Prob$ should only operate on events.
+        \item $\rvx$ is a random variable, while $x$ is a real number.
+        \end{enumerate}
+        
+      \end{enumerate}
+    \item You may find \url{https://en.wikibooks.org/wiki/LaTeX} useful.
+    \item Writing \LaTeX\ online may be easier for beginners:
+        \begin{enumerate}
+        \item ShareLaTeX: \url{https://www.sharelatex.com/}.
+        \item Overleaf: \url{https://www.overleaf.com/}.
+        \end{enumerate}
+    \end{enumerate}
+  \item You may need aligned equations for your homework, here are several examples:
+    
+    Total propability rule:
+  \begin{equation*}
+    \begin{aligned}
+      \Prob(\rvx = x)
+      &= \sum_{y \in \mathcal{Y}} \Prob(\rvx = x, \rvy = y)\\
+      &= \sum_{y \in \mathcal{Y}} \Prob(\rvx = x| \rvy = y) \Prob(\rvy = y),\\
+    \end{aligned}
+  \end{equation*}
+  or
+  \begin{equation*}
+    \begin{aligned}
+      &\quad~  P_{\rvx}(x)\\
+      &= \sum_{y \in \mathcal{Y}} P_{\rvx\rvy}(x,y)\\
+      &= \sum_{y \in \mathcal{Y}} P_{\rvx|\rvy}(x|y)P_{\rvy}(y).\\
+    \end{aligned}
+  \end{equation*}
+  Indicator function:
+  \begin{equation*}
+    \1_A(\omega)=
+    \left\{
+    \begin{aligned}
+      1, &\quad\text{if}~ \omega \in A,\\
+      0, &\quad\text{if}~ \omega \notin A.
+    \end{aligned}
+    \right.
+  \end{equation*}
+
+  \item You may need to add figure and source codes in your homework. Figure \ref{fig:1} is an example that compares the empirical distribution (histogram) and probability density function of the Gaussian random variable.
+    \begin{figure}[htbp]
+      \centering
+      \includegraphics[width = 0.8\textwidth]{pdf_normal.eps}
+      \caption{Gaussian PDF and histogram of samples}
+      \label{fig:1}
+    \end{figure}
+
+  The source code to plot Figure \ref{fig:1} could be found in Appendix \ref{sec:a:code}. Here are the core codes:
+  \lstinputlisting[firstline=4,lastline=4, firstnumber=4]{matlabscript.m}
+  \lstinputlisting[firstline=6,lastline=7, firstnumber=6]{matlabscript.m}
+  To understand line 6, note that if we have $n$ samples of $\rvx$ denoted by $x^{(i)}, i = 1, 2, \cdots, n$, then the probability density function $p_{\rvx}$ could be estimated as
+  \begin{equation*}
+    \begin{aligned}
+      p_{\rvx}(x_0) &= \left.\frac{\mathrm{d}}{\mathrm{d}x} \Prob(\rvx \leq x) \right|_{x = x_0} \\
+      &\approx \frac{\Prob(x_0 - \Delta x < \rvx \leq x_0)}{\Delta x}\\
+      &\approx \frac{1}{n\Delta x} \sum_{i = 1}^n \1_{x^{(i)} \in (x_0 - \Delta x, x_0]}.
+    \end{aligned}    
+  \end{equation*}
+  
+\item An example of hypothesis testing:
+  \begin{equation*}
+   \log \frac{\Prob(\rvH = H_1|\rvy = y)}{\Prob(\rvH = H_0|\rvy = y)} 
+   \mathop{\gtreqless}_{\hat{\rvH} = H_0}^{\hat{\rvH} = H_1} \gamma
+  \end{equation*}
+  
+  \end{enumerate}
+
+  
+  \newpage
+  
+  \appendix
+  \section{Source code}
+  \label{sec:a:code}
+  % \lstlistoflistings
+  Source code for plotting Figure \ref{fig:1} is shown as follows.
+  \lstinputlisting[caption=FigurePlot]{matlabscript.m}
+  
+\end{document}
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End:
diff --git a/macros/latex/contrib/thucoursework/ithw.pdf b/macros/latex/contrib/thucoursework/ithw.pdf
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--- /dev/null
+++ b/macros/latex/contrib/thucoursework/ithw.pdf
diff --git a/macros/latex/contrib/thucoursework/ithw.tex b/macros/latex/contrib/thucoursework/ithw.tex
new file mode 100644
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--- /dev/null
+++ b/macros/latex/contrib/thucoursework/ithw.tex
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+% Homework template for Inference and Information
+% UPDATE: September 26, 2017 by Xiangxiang
+\documentclass[a4paper]{article}
+\usepackage{ctex}
+\ctexset{
+proofname = \heiti{证明}
+}
+\usepackage{amsmath, amssymb, amsthm}
+% amsmath: equation*, amssymb: mathbb, amsthm: proof
+\usepackage{moreenum}
+\usepackage{mathtools}
+\usepackage{url}
+\usepackage{bm}
+\usepackage{enumitem}
+\usepackage{graphicx}
+\usepackage{subcaption}
+\usepackage{booktabs} % toprule
+\usepackage[mathcal]{eucal}
+\usepackage[thehwcnt = 1]{iidef}
+
+\thecourseinstitute{清华大学深圳研究生院}
+\thecoursename{应用信息论}
+\theterm{2018年春季学期}
+\hwname{作业}
+\slname{\heiti{解}}
+\begin{document}
+\courseheader
+\name{YOUR NAME}
+
+\begin{enumerate}
+  \setlength{\itemsep}{3\parskip}
+
+  \item 设$X$和$Y$是各有均值$m_x,m_y$,方差为$\sigma_x^2,\sigma_y^2$，且相互独立的高斯随机变量，已知$U=X+Y,V=X-Y$。试求$I(U;V)$。
+\begin{solution}
+$U,V$的联合分布是均值为$[\mu_x+\mu_y,\mu_x-\mu_y]$，协方差矩阵为
+$$\Lambda_{U,V}=\begin{bmatrix}
+1 & 1\\
+1 & -1\\
+\end{bmatrix}
+\begin{bmatrix}
+\sigma_x^2 & 0\\
+0 & \sigma_x^2\\
+\end{bmatrix}
+\begin{bmatrix}
+1 & 1\\
+1 & -1\\
+\end{bmatrix}^T
+=\begin{bmatrix}
+\sigma_x^2+\sigma_y^2 & \sigma_x^2-\sigma_y^2\\
+\sigma_x^2-\sigma_y^2 & \sigma_x^2+\sigma_y^2\\
+\end{bmatrix}
+$$
+由多元高斯分布微分熵的公式
+$$
+h(U)=\frac{1}{2}\log ((2\pi e)^2 |\Lambda_{U,V}|)=\frac{1}{2}\log(16\pi^2 e^2 \sigma^2_x\sigma^2_y)
+$$
+$U|V=v$也是高斯分布,方差为$\frac{4\sigma_x^2\sigma_y^2}{\sigma_x^2+\sigma_y^2}$，与$v$无关，因此
+$$
+h(U|V)=\E_{V}[h(U|V=v)]=\frac{1}{2}\log(2\pi e \frac{4\sigma_x^2\sigma_y^2}{\sigma_x^2+\sigma_y^2})\Rightarrow
+$$
+\begin{align*}
+I(U;V)=& h(U)-h(U|V)\\
+=&\frac{1}{2}\log(16\pi^2 e^2 \sigma^2_x\sigma^
+2_y)-\frac{1}{2}\log(2\pi e \frac{4\sigma_x^2\sigma_y^2}{\sigma_x^2+\sigma_y^2})\\
+=&\frac{1}{2}\log(2\pi e (\sigma_x^2+\sigma_y^2))
+\end{align*}
+
+%$$
+%p(u,v)=\frac{1}{4\pi \sigma_x\sigma_y}\exp(-\frac{(\frac{u+v}{2}-\mu_x)^2+(\frac{u+v}{2}-\mu_y)^2}{2})
+%$$
+
+\end{solution}
+\item 设有随机变量$X,Y,Z$均取值于$\{0,1\}$,已知$I(X;Y)=0,I(X;Y|Z)=1$。求证$H(Z)=1,H(X,Y,Z)=2$
+\begin{proof}
+$I(X;Y|Z)=H(X|Z)-H(X|Y,Z)\leq H(X|Z)\leq H(X)\leq \log(2)=1$
+所以等号全都成立$\Rightarrow X\sim B(\frac{1}{2})$。
+同理可知$Y\sim B(\frac{1}{2})$。
+另外$H(Y|Z)=H(Y)\Rightarrow I(Y;Z)=0\Rightarrow H(Z|Y)=H(Z)$
+\begin{align*}
+&H(X|Y,Z)=0 \\
+\iff &H(X,Y,Z)=H(Y,Z)\\
+\iff &H(X,Y)+H(Z|X,Y)=H(Y)+H(Z|Y)\\
+\iff &2+H(Z|X,Y)=1+H(Z)\\
+\iff &H(Z)=1+H(Z|X,Y)
+\end{align*}
+由上式推出$H(Z)\geq 1$,又$H(Z)\leq 1\Rightarrow H(Z)=1\Rightarrow H(X,Y,Z)=2$
+\end{proof}
+\item
+设有信号$X$经过处理器$A$后获输出$Y$,$Y$再经处理器$B$后获输出$Z$。已知处理器$A$和$B$
+分别独立处理$X$和$Y$。试证：$I(X;Z)\leq I(X;Y)$
+\begin{proof}
+$I(X;Z)=H(Z)-H(Z|X)=H(Z);I(Y;Z)=H(Y)$因为$Z$是$Y$的函数$\Rightarrow H(Z)\leq H(Y) \Rightarrow I(X;Z)\leq I(X;Y)$
+\end{proof}
+\item 已知随机变量$X$和$Y$的联合概率密度$p(a_k,b_j)$满足
+$$
+p(a_1)=\frac{1}{2},p(a_2)=p(a_3)=\frac{1}{4},p(b_1)=\frac{2}{3},p(b_2)=p(b_3)=\frac{1}{6}
+$$
+试求能使$H(X,Y)$取得最大值的联合概率密度分布。
+\begin{solution}
+$H(X,Y)=H(X)+H(Y)-I(X;Y)\leq H(X)+H(Y)=\frac{7}{6}+\log 3$
+等号成立当且仅当$X,Y$相互独立$\Rightarrow p(x,y)=p(x)p(y)$
+\end{solution}
+\item 设随机变量$X,Y,Z$满足$p(x,y,z)=p(x)p(y|x)p(z|y)$。求证$I(X;Y)\geq I(X;Y|Z)$
+\begin{proof}
+因为$p(x,y,z)=p(x)p(y|x)p(z|y,x)\Rightarrow p(z|y,x)=p(z|x)\Rightarrow x$ 与$z$关于$y$条件独立$\Rightarrow I(X;Y|Z)=H(X|Z)-H(X|Y,Z)= H(X|Z)-H(X|Y)\leq H(X)-H(X|Y) =I(X;Y)$
+\end{proof}
+\item 求证$I(X;Y;Z)=H(X,Y,Z)-H(X)-H(Y)-H(Z)+I(X;Y)+I(Y;Z)+I(Z;X)$,其中
+$I(X;Y;Z)\triangleq I(X;Y)-I(X;Y|Z)$
+\begin{proof}
+\begin{align*}
+I(X;Y;Z) =& I(X;Y)-I(X;Y|Z) \\
+=& H(X)+H(Y)-H(X,Y)-(H(X|Z)-H(X|Y,Z))\\
+=& H(X)+H(Y)-H(X,Y)-(H(X,Z)-H(Z))+H(X,Y,Z)-H(Y,Z)\\
+=& H(X,Y,Z)-H(X)-H(Y)-H(Z)+(H(X)+H(Y)-H(X,Y))\\
++&(H(Y)+H(Z)-H(Y,Z))+(H(Z)+H(X)-H(X,Z))\\
+=& H(X,Y,Z)-H(X)-H(Y)-H(Z)+I(X;Y)+I(Y;Z)+I(Z;X)
+\end{align*}
+\end{proof}
+\item 令$p=(p_1,p_2,\dots,p_a)$是一个概率分布，满足$p_1\geq p_2\geq \dots p_a$,假设$\epsilon >0 $使得$p_1-\epsilon \geq p_2+\epsilon$成立，证明：$H(p_1,p_2,\dots,p_a)
+\leq H(p_1-\epsilon,p_2+\epsilon,p_3,\dots,p_a)$
+\begin{proof}
+设$f(\epsilon)=(p_1-\epsilon)\log(p_1-\epsilon)+(p_2+\epsilon)\log(p_2+\epsilon)$
+由已知$0\leq \epsilon \frac{p_2-p_1}{2}$
+$f'(\epsilon)=\log\frac{p_2+\epsilon}{p_1-\epsilon}\leq 0$
+$\Rightarrow f(\epsilon)\leq f(0)\Rightarrow H(p_1,p_2,\dots,p_a)\leq H(p_1-\epsilon,p_2+\epsilon,p_3,\dots,p_a)$
+\end{proof}
+\item 设$p_i(x)\sim N(\mu_i,\sigma_i^2)$,试求相对熵$D(p_2||p_1)$
+\begin{solution}
+\begin{align*}
+D(p_2||p_1)=& \int_{\mathbb{R}} p_2(x) \log \frac{p_2(x)}{p_1(x)}dx\\
+=& \int_{\mathbb{R}} p_2(x) \left(\log \frac{\sigma_1^2}{\sigma_2^2}+\frac{1}{2}((x-\mu_1)^2-(x-\mu_2)^2)\log e\right)dx\\
+=& 2\log \frac{\sigma_1}{\sigma_2}+\frac{1}{2}(\mu_1^2-\mu_2^2)\log e+(\mu_2-\mu_1)\mu_2\log e\\
+=& 2\log \frac{\sigma_1}{\sigma_2}+\frac{1}{2}(\mu_1-\mu_2)^2\log e
+\end{align*}
+\end{solution}
+\item 若$f(x)$分别是区间$(0,0.01),(0,0.5),(0,1),(0,2),(0,5)$上均匀分布的分布函数，计算$f(x)$的微分熵。
+\begin{solution}
+设$U_t$是$(0,t)$上的均匀分布，则$h(U_t)=\log t$
+\begin{itemize}
+\item $h(U_{0.01})=\log 0.01$
+\item $h(U_{0.5})=-1$
+\item $h(U_{1})=0$
+\item $h(U_{2})=1$
+\item $h(U_{5})=\log 5$
+\end{itemize}
+\end{solution}
+\item 设
+\begin{align*}
+p_1(x,y)=& \frac{1}{2\pi \sigma_x\sigma_y}\exp[-\frac{1}{2}(\frac{x^2}{\sigma_x^2}+\frac{y^2}{\sigma_y^2})]\\
+p_2(x,y)=& \frac{1}{2\pi \sigma_x\sigma_y\sqrt{1-\rho^2}}\exp[-\frac{1}{2(1-\rho^2)}(\frac{x^2}{\sigma_x^2}-2\rho\frac{xy}{\sigma_x\sigma_y}+\frac{y^2}{\sigma_y^2})]
+\end{align*}
+试求$D(p_2||p_1)$和$I(X;Y)$，其中$X,Y\sim p_2$
+\begin{solution}
+\begin{align*}
+D(p_2||p_1) = & \iint_{\mathbb{R}^2} p_2(x,y)\log \frac{p_2(x,y)}{p_1(x,y)}dxdy \\
+ -&\frac{1}{2}\log(1-\rho^2)\\
+-&\frac{1}{2}(\log e)\iint_{\mathbb{R}^2} p_2(x,y)\left[\frac{\rho^2 x^2}{\sigma_x^2(1-\rho^2)}+\frac{\rho^2 y^2}{\sigma_y^2(1-\rho^2)}-\frac{2\rho xy}{(1-\rho^2)\sigma_x\sigma_y}\right]dxdy\\
+=&-\frac{1}{2}\log(1-\rho^2)
+\end{align*}
+$X|Y=y$服从高斯分布，方差为$(1-\rho^2)\sigma_x^2$
+\begin{align*}
+I(X;Y) = & h(X)-h(X|Y)\\
+= & \frac{1}{2}\log(2\pi e \sigma_x^2) - \frac{1}{2}\log(2\pi e \sigma_x^2(1-\rho^2))\\
+= & \frac{1}{2}\log(\frac{2\pi e}{1-\rho^2})
+\end{align*}
+
+\end{solution}
+
+\end{enumerate}
+\end{document}
+\begin{equation}
+\end{equation}
+
+%%% Local Variables:
+%%% mode: late\rvx
+%%% TeX-master: t
+%%% End:
diff --git a/macros/latex/contrib/thucoursework/matlabscript.m b/macros/latex/contrib/thucoursework/matlabscript.m
new file mode 100644
index 0000000000..a3b0693291
--- /dev/null
+++ b/macros/latex/contrib/thucoursework/matlabscript.m
@@ -0,0 +1,14 @@
+n = 1e6;  % n samples
+data = randn(1e6, 1); % Generate n Random Gaussian samples. 
+nbins = 50; % bins in your histogram
+[cnt, x_hist] = hist(data, nbins); % not to plot, only to get emperical distribution.
+figure;
+cnt = cnt / n / (x_hist(2) - x_hist(1)); % normalization, be careful :)
+bar(x_hist, cnt); % plot the hist using bar()
+hold on;
+x = -5 : 0.1 : 5;
+plot(x, normpdf(x), 'r', 'linewidth', 2);
+legend({'$\hat{p}_{\sf{x}}(x)$', '$p_{\sf{x}}(x)$'}, 'Interpreter', 'LaTeX', 'fontsize', 15);
+xlabel('$x$', 'Interpreter', 'LaTeX', 'fontsize', 15); % You may change the size accordingly
+ylabel('$p_{\sf{x}}(x)$', 'Interpreter', 'LaTeX', 'fontsize', 15);
+title("\mlplaceholder{your-title-here}")
+\ No newline at end of file
diff --git a/macros/latex/contrib/thucoursework/pdf_normal.eps b/macros/latex/contrib/thucoursework/pdf_normal.eps
new file mode 100644
index 0000000000..de30047208
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diff --git a/macros/latex/contrib/thucoursework/thucoursework.dtx b/macros/latex/contrib/thucoursework/thucoursework.dtx
new file mode 100644
index 0000000000..d7b7dd509f
--- /dev/null
+++ b/macros/latex/contrib/thucoursework/thucoursework.dtx
@@ -0,0 +1,679 @@
+% \iffalse meta-comment
+%
+% Copyright (C) 2018 by zhaofeng-shu33 <616545598@qq.com>
+%
+% This work may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.3
+% of this license or (at your option) any later version.
+% The latest version of this license is in
+%   http://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of LaTeX
+% version 2005/12/01 or later.
+%
+% This work has the LPPL maintenance status `maintained'.
+%
+% \fi
+%
+%\iffalse
+%<*internal>
+\begingroup
+\input docstrip.tex
+\askforoverwritefalse
+\showprogress
+\keepsilent
+\preamble
+
+This is a generated file.
+
+Copyright (C) \the\year by zhaofeng-shu33 <616545598@qq.com>
+
+This work may be distributed and/or modified under the
+conditions of the LaTeX Project Public License, either version 1.3
+of this license or (at your option) any later version.
+The latest version of this license is in
+  http://www.latex-project.org/lppl.txt
+and version 1.3 or later is part of all distributions of LaTeX
+version 2005/12/01 or later.
+
+To produce the documentation run the original source files ending with `.dtx'
+through LaTeX.
+
+\endpreamble
+\nopostamble
+\generate{
+\file{dtx-style.sty}{\from{\jobname.dtx}{dtx-style}}  
+\file{iidef.sty}{\from{\jobname.dtx}{sty}}
+}
+
+\ifToplevel{%
+  \Msg{***********************************************************}
+  \Msg{*}
+  \Msg{* To produce the documentation run the files ending with}
+  \Msg{* `.dtx' through XeLaTeX.}
+  \Msg{*}
+  \Msg{* Happy TeXing!}
+  \Msg{***********************************************************}}
+\endgroup
+%</internal>
+%<*driver>
+\ProvidesFile{thucoursework.dtx}[2018/05/20 2.5 Tsinghua University Coursework Template]
+\documentclass{ltxdoc}
+\usepackage{dtx-style}
+
+\EnableCrossrefs
+\CodelineIndex
+\RecordChanges
+
+\begin{document}
+  \DocInput{\jobname.dtx}
+\end{document}
+%</driver>
+% \fi
+% \DoNotIndex{\NeedsTeXFormat,\ProvidesClass,\RequirePackage}
+% \DoNotIndex{\renewcommand,\underline,\newcommand,\def}
+% \DoNotIndex{\setlist,\hfill,\hrule,\vspace}
+% \DoNotIndex{\begin,\end,\DeclareStringOption}
+% \DoNotIndex{\fancypagestyle,\fancyhead,\pagestyle,\thispagestyle}
+% \DoNotIndex{\protect,\mathpalette,\rlap,\mathrel,\mkern}
+% \GetFileInfo{\jobname.dtx}
+%^^A theses changes are moved from update.md
+%^^A \changes{hversioni}{hdatei}{htexti}
+% \def\xiangxiang{\textit{Xiangxiang}}
+% \def\zhaofeng{\textit{zhaofeng-shu33}}
+% \changes{v1.1}{2017/09/26}{[\xiangxiang] Add mathcal and eucal package.}
+% \changes{v1.1}{2017/09/26}{[\xiangxiang] Add aligned equations in \texttt{iihw.tex}.}
+% \changes{v1.2}{2017/10/09}{[\xiangxiang] Add example for figures in \texttt{iihw.tex}}
+% \changes{v1.2}{2017/10/09}{[\xiangxiang] Add example fro input matlab codes in \texttt{iihw.tex}}
+% \changes{v1.2}{2017/10/09}{[\xiangxiang] No need to set counter style manually}
+% \changes{v1.3}{2017/10/12}{[\xiangxiang] Add example for vector and random vectors(underline) in \texttt{iihw.tex}}
+% \changes{v1.4}{2017/10/30}{[\xiangxiang] Add an example of hypothesis testing in \texttt{iihw.tex}}
+% \def\indexname{索引}
+% \def\glossaryname{修改记录}
+% \IndexPrologue{\section{\indexname}}
+% \GlossaryPrologue{\section{\glossaryname}}
+% \title{\bfseries\color{violet}\thucoursework：清华大学课程作业模板\thanks{本文档在 \textit{xueruini} 的 \href{https://github.com/xueruini/thuthesis}{\enspace \textsc{Thu}\-\textsc{Thesis}} 手册基础上进行改动}}
+% \author{{\fangsong 赵丰\thanks{师兄徐祥祥维护到v1.4}}\\[5pt]\texttt{616545598@qq.com}}
+% \date{v\fileversion\ (\filedate)}
+% \maketitle\thispagestyle{empty}
+%
+%
+% \begin{abstract}\noindent
+%   此宏包旨在建立一个简单易用的清华大学课程作业模板，作业主要针对理论物理、数学、信息科学、通信、理论力学等方面。
+% \end{abstract}
+%
+% \vskip2cm
+% \def\abstractname{免责声明}
+% \begin{abstract}
+% \noindent
+% \begin{enumerate}
+% \item 本模板的发布遵守 \LaTeX\ Project Public License，使用前请认真阅读协议内
+%   容。
+% \item 任何个人或组织以本模板为基础进行修改、扩展而生成的新的专用模板，请严格遵
+%   守 \LaTeX\ Project Public License 协议。由于违犯协议而引起的任何纠纷争端均与
+%   本模板作者无关。
+% \end{enumerate}
+% \end{abstract}
+%
+%
+% \clearpage
+% \pagestyle{fancy}
+% \begin{multicols}{2}[
+%   \setlength{\columnseprule}{.4pt}
+%   \setlength{\columnsep}{18pt}]
+%   \tableofcontents
+% \end{multicols}
+% \clearpage
+%
+% \section{模板介绍}
+% \thucoursework\ (\textbf{T}sing\textbf{h}ua \textbf{U}niversity \LaTeX\
+% \textbf{Coursework} Template) 是为了帮助清华大学学生撰写课程作业而编写
+% 的 \LaTeX\ 模板。最初由徐祥祥师兄担任\textit{Information Inference} 这门课助教期间设计出来，当时命名为\texttt{idef.sty}。后来由赵丰接手进行拓展和完善。
+% 本文档将尽量完整的介绍模板的使用方法，如有不清楚之处可以参考示例文档或者根据
+% 第~\ref{sec:howtoask} 节说明提问，有兴趣者都可以参与完善此手册，也非常欢迎对代
+% 码的贡献。
+
+% \section{安装}
+% \label{sec:installation}
+%
+%^^A 发行版 updated , 2018/5/17 https://mirror.ctan.org/systems/texlive/tlnet/tlpkg
+% 阅读文档可以使用以下命令：
+% \begin{shell}
+% $ texdoc thucoursework
+% \end{shell}
+%
+% 如果要使用开发版，需自己下载，\thucoursework\ 相关链接：
+% \begin{itemize}
+% \item 主页：\href{https://github.com/zhaofeng-shu33/THU-coursework-template}{GitHub}
+% \item 下载：\href{https://www.ctan.org/pkg/thucoursework}{CTAN}
+% \end{itemize}
+%
+% \subsection{模板的组成}
+% 下表列出了 \thucoursework\ 的主要文件及其功能介绍：
+%
+% \begin{longtable}{l|p{8cm}}
+% \toprule
+% {\heiti 文件（夹）} & {\heiti 功能描述}\\\midrule
+% \endfirsthead
+% \midrule
+% {\heiti 文件（夹）} & {\heiti 功能描述}\\\midrule
+% \endhead
+% \endfoot
+% \endlastfoot
+% thucoursework.dtx & \textsc{DocStrip} 源文件（开发用）\\\midrule
+% iihw.tex & \xiangxiang 编写的使用模板的英文作业例子\\
+% ithw.tex & \zhaofeng 编写的使用模板的中文作业例子\\ \midrule
+% Makefile & Makefile\\
+%   & latexmk 配置文件 \\
+% README.md & Readme\\
+% \textbf{thucoursework.pdf} & 用户手册（本文档）\\\bottomrule
+% \end{longtable}
+%
+%
+% \subsection{生成模板sty文件和用户手册}
+% \label{sec:generate-cls}
+% \note[提示：]{若使用 linux 操作系统，可在含有\file{Makefile}的目录下直接运行 \texttt{make doc} 命令
+% 生成模板sty文件和用户手册}
+%
+% 在使用之前可以用下面的代码生成模板sty文件和用户手册：
+%
+% \begin{shell}
+% $ xelatex thucoursework.dtx
+% $ makeindex -s gind.ist -o thucoursework.ind thucoursework.idx
+% $ makeindex -s gglo.ist -o thucoursework.gls thucoursework.glo
+% $ xelatex thucoursework.dtx
+% $ xelatex thucoursework.dtx  % 生成说明文档 thucoursework.pdf
+% \end{shell}
+% 
+%
+%
+% \subsection{生成作业}
+% \label{sec:generate-coursework}
+% 本节介绍几种常见的生成作业的方法。用户可根据自己的情况选择，使用前请仿照例子里的tex文件，使用 
+% \begin{latex}
+% \usepackage{iidef}
+% \end{latex}
+% 引用宏包。
+% \subsubsection{\XeLaTeX}
+% \label{sec:xelatex}
+% 很多用户对 \LaTeX\ 命令执行的次数不太清楚。一个基本的原则是多次运行 \LaTeX\ 命
+% 令直至不再出现警告。下面给出生成示例文档的详细过程（\texttt{\#} 开头的行为注
+% 释），首先来看推荐的 \texttt{xelatex} 方式：
+% \begin{shell}
+% # 1. 发现里面的引用关系，文件后缀 .tex 可以省略
+% $ xelatex main
+%
+% # 2. 编译参考文件源文件，生成 bbl 文件
+% $ bibtex main
+%
+% # 3. 下面解决引用
+% $ xelatex main
+% $ xelatex main   # 此时生成完整的 pdf 文件
+% \end{shell}
+%
+% \subsubsection{PDF\LaTeX}
+% \label{sec:pdflatex}
+% 当仅使用英文完成课程作业时，可以使用 PDF\LaTeX，编译速度会快很多。按照第~\ref{sec:xelatex} 节的顺序执行即可，只是将命令中
+% \texttt{xelatex} 替换为 \texttt{pdflatex}。
+%
+% 需要注意的是 PDF\LaTeX\ 不能处理常见的 EPS 图形，需要先用 \texttt{epstopdf} 将其转化
+% 成 PDF。不过 PDF\LaTeX\ 增加了对 png，jpg 等格式的支持，比较方便。\TeX Live
+% 自从 2010 版本起自动调用 \texttt{epstopdf} 将 EPS 图形转化为 PDF。
+%
+% \subsubsection{latexmk}
+% \label{sec:latexmk}
+% \texttt{latexmk} 命令支持全自动生成 \LaTeX\ 编写的文档，并且支持使用不同的工具
+% 链来进行生成，它会自动运行多次工具直到交叉引用都被解决。下面给出了一个用
+% \texttt{latexmk} 调用 \texttt{xelatex} 生成最终文档的示例：
+% \begin{shell}
+% # 一句话就够了！
+% $ latexmk -xelatex Assignment
+% \end{shell}
+%
+% \subsubsection{make}
+% \label{sec:make}
+% \note[提示：]{使用 \texttt{make} 编译，需要配合linux 操作系统。}
+%
+%
+% \subsection{升级}
+% \label{sec:updgrade}
+%
+% \section{使用说明}
+% \label{sec:usage}
+% 本手册假定用户已经能处理一般的 \LaTeX\ 文档。如果
+% 从来没有接触过 \TeX\ 和 \LaTeX，建议先学习相关的基础知识。
+%
+% \subsection{关于提问}
+% \label{sec:howtoask}
+% 按照优先级推荐提问的位置如下：
+%
+% \begin{itemize}
+% \item \href{http://github.com/zhaofeng-shu33/thucoursework/issues}{Github Issues}
+% \item \href{http://bbs.ctex.org/nForum/#!board/TeX}{ctex 论坛}
+% \end{itemize}
+%
+% \subsection{示例文件}
+% \label{sec:userguide}
+%
+% 推荐新用户从模板自带的示例文档入手，里面包括了写作业用到的所有命令及其使用方法，
+% 只需要用自己的内容进行相应替换就可以。对于不清楚的命令可以查阅本手册。下面的例
+% 子描述了模板中作业的组织形式，来自于示例文档，具体内容可以参考模板附带
+% \changes{v2.3}{2018/03/30}{[\zhaofeng] Add sample file \file{ithw.tex}}
+% 的 \file{iihw.tex} 和 \file{ithw.tex}。
+%
+% \lstinputlisting[style=lstStyleLaTeX]{iihw.tex}
+%
+%
+% \subsection{作业选项}
+% \label{sec:option}
+%
+% \DescribeOption{thehwcnt}
+%   指定作业序号，
+%   为可选项。
+% \begin{latex}
+% % 使用默认序号1
+% \usepackage{iidef}
+%
+% % 指定序号为6
+% \usepackage[thehwcnt=6]{iidef}
+% \end{latex}
+%
+% \subsection{基本信息}\label{sec:basic_info}
+% \DescribeMacro{\thecourseinstitute}
+% 指定学校或学院，如果使用中文，请引用\pkg{ctex} 宏包。
+% \begin{latex}
+% % 指定学院是TBSI
+% \thecourseinstitute{Tsinghua-Berkeley Shenzhen Institute}
+%
+% % 指定中文名
+% \thecourseinstitute{清华大学电子工程系}
+% \end{latex}
+% 
+% \DescribeMacro{\thecoursename}
+% 指定课程名
+% \begin{latex}
+% % 指定课程名是 Information Inference
+% \thecoursename{Information Inference}
+% % 指定课程名是 "应用信息论"
+% \thecoursename{应用信息论}
+% \end{latex}
+%
+% \DescribeMacro{\theterm}
+% 指定学期
+% \begin{latex}
+% % English example
+% \theterm{Fall 2017}
+% % 中文示例
+% \theterm{2018年春季学期}
+% \end{latex}
+%
+% \DescribeMacro{\hwname}
+% 指定作业名，默认是 Homework
+% \begin{latex}
+% % English example
+% \hwname{Coursework}
+% % 中文示例
+% \hwname{作业}
+% \end{latex}
+% 
+% \subsection{标题}
+% \DescribeMacro{\courseheader}
+% 将其放在正文前面生成作业标题
+%
+% \note[提示：]{使用 \cs{courseheader} 前需使用~\ref{sec:basic_info}节描述的宏指定相关基本信息。并且使用了\cs{courseheader}无需再用 \LaTeX\ 里的\cs{maketitle}}
+% \begin{latex}
+% \begin{document}
+% \courseheader
+% \name{YOUR NAME}
+% \end{latex}    
+% \DescribeMacro{\name}
+%^^A manually indentation 
+% \indent 生成姓名、作业名、日期
+%
+% \note[提示：]{使用 \cs{name} 会直接在文档中输出姓名、作业名、日期，因此如果需要自定义作业名，需要在使用\cs{name} 前用 \cs{hwname} 指定作业名称}
+% \subsection{题目自动编号}
+% 建议使用嵌套的\texttt{enumerate} 环境对题目自动编号，可比较好的解决自动缩进的问题。
+% 本模板设置了一级列表为作业序号加题目序号，比如第6次作业第3题会排版成 \enspace 6.3.\enspace ，对于某一道题目的不同小问，默认是用(a),(b),(c) 进行
+% 顺序编排。
+% \begin{latex}
+%   \begin{enumerate}
+%    \item First Problem
+%    \item Second Problem
+%       \begin{enumerate}
+%          \item first question of the second problem
+%          \item second question of the second problem
+%       \end{enumerate}
+%   \end{enumerate}
+% \end{latex}
+% 
+% 如果需要改变默认的设置，比如不同小问使用罗马数字，则可以在正文开始之前使用
+% \begin{latex}
+% \setlist[enumerate,2]{label=\roman*.}
+% \end{latex}
+% 进行设置。
+%
+% \subsection{证明和解的环境}
+% \myentry{证明}
+% \DescribeEnv{proof}
+% \texttt{proof} 环境是 \pkg{amsthm} 宏包提供的，引用本模板后可以直接使用。
+% \begin{latex}
+%    \begin{proof}
+%      proof contents go here
+%    \end{proof}
+% \end{latex}
+%  在中文作业中，引用\pkg{ctex} 宏包
+%  后 “证明” 的环境会变成 中文，如果需要改变默认文字，可以在序言中使用 \cs{ctexset} 配置
+% \begin{latex}
+%   \ctexset{
+%       proofname = \heiti{证明} 
+%   }  
+%   \begin{document}
+% \end{latex}
+% \myentry{解}
+% \DescribeEnv{solution}
+% \texttt{solution} 环境是本模板提供的，用于回答“求解XXX”之类的问题。
+% \begin{latex}
+%    \begin{solution}
+%      solution contents go here
+%    \end{solution}
+% \end{latex}
+% \DescribeMacro{slname}
+% 在中文作业中，可能需要将 \texttt{solution} 环境默认的 \textit{solution.} 变成中文，为此可以将
+% \begin{latex}
+%    \slname{\heiti{解}}
+% \end{latex}          
+% 放在使用 \texttt{solution} 环境之前。
+% \subsection{常用数学符号}
+% 本文档预先定义了常用的数学符号，在\file{iihw.tex} 示例文件中对这些符号的使用有详细说明。
+% \section{致谢}
+% \label{sec:thanks}
+% 感谢师兄徐祥祥的最初的作业模板设计， \textsc{Thu}\-\textsc{Thesis} 宏包的文档源码。
+% \changes{v2.4}{2018/04/09}{[\zhaofeng] finish the chinese pdf manual}
+% \changes{v2.5}{2018/05/20}{[\zhaofeng] make documentation more compact by including \texttt{dtx-style.sty} in the \texttt{dtx} file itself.}
+% \StopEventually{\PrintChanges\PrintIndex}
+% \clearpage
+%
+% \section{实现细节}
+%
+% \subsection{基本信息}
+%    \begin{macrocode}
+% \changes{v2.0}{2018/03/22}{[\zhaofeng] Make it a latex package(.sty)}
+%<*sty>
+\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+\ProvidesClass{iidef}
+[2018/04/09 2.4 Tsinghua University Coursework Template]
+%    \end{macrocode}
+% \subsection{装载宏包}
+% \label{sec:loadpackage}
+%
+% 引用的宏包和相应的定义。
+%    \begin{macrocode}
+%% configuration of nested enumerate env
+\RequirePackage{enumitem}
+%% set hwcount key-value option
+\RequirePackage{kvoptions}
+%% required by macro DeclareMathOperator
+\RequirePackage{amsmath}
+%% Set up page headers using with fancyhdr
+\RequirePackage{fancyhdr}
+%define the solution env with amsthm proof
+\RequirePackage{amsthm}
+%    \end{macrocode}
+%
+% 定义学期、学院、课程名，作业名
+% \changes{v2.3}{2018/03/30}{[\zhaofeng] User configuration of \cs{hwname}}
+%    \begin{macrocode}
+%% semester
+\def\@term{term}
+\newcommand{\theterm}[1]{\renewcommand\@term{#1}}
+%% institute
+\newcommand{\@courseinstitute}[1]{institute}
+\newcommand{\thecourseinstitute}[1]{\renewcommand\@courseinstitute{#1}}
+%% coursename
+\newcommand{\@coursename}[1]{coursename}
+\newcommand{\thecoursename}[1]{\renewcommand\@coursename{\textsc{#1}}}
+%% user can rewrite homework name
+\def\@hwname{Homework}
+\def\hwname#1{\renewcommand\@hwname{#1}}
+%    \end{macrocode}
+% \subsection{作业选项}
+% \changes{v2.1}{2018/03/22}{[\zhaofeng] Use kvoptions to set the coursework counter.}
+%    \begin{macrocode}
+%% \iidef@thehwcnt = 1
+\DeclareStringOption[1]{thehwcnt}
+\ProcessKeyvalOptions*
+\def\thehwcnt{\iidef@thehwcnt}
+%    \end{macrocode}
+% \subsection{标题}
+% 定义 \cs{courseheader}
+% \changes{v2.2}{2018/03/27}{[\zhaofeng] Use fancyhdr to set the coursework user file header.}
+%    \begin{macrocode}
+%% page header setup, distinguish between first page(plain style) 
+%% and second page on (runningpage style)
+%%***************************************************************************
+\newcommand{\courseheader}{
+\thispagestyle{plain}%first page use native plain style to suppress header
+\vspace*{-1in}
+\begin{center}
+\@courseinstitute\\
+\@coursename\\
+\@term
+\vspace*{0.1in}
+\hrule
+\end{center}
+\begin{center}
+  \underline{\bf \@hwname\;\thehwcnt} \\
+\end{center}
+}
+\fancypagestyle{runningpage}
+{
+  \fancyhead[L]{\small\@coursename}
+  \fancyhead[R]{\small\@courseinstitute}
+}
+%% use runningpage style from second page on 
+\pagestyle{runningpage}
+%% *********************************************************************************************
+%    \end{macrocode}
+%
+% 定义 \cs{name}
+%    \begin{macrocode}
+%%name command macro
+%%*************************
+\newcommand{\name}[1]{
+\begin{flushleft}
+  #1\hfill
+  \today
+\end{flushleft}
+\hrule
+
+\vspace{2em}
+
+\flushleft
+}
+%%*************************
+%    \end{macrocode}
+% \subsection{题目自动编号}
+%    \begin{macrocode}
+%% enumitem related configuration
+\setlist[enumerate,1]{label=\thehwcnt.\arabic*.}
+\setlist[enumerate,2]{label=(\alph*)}
+\setlist[enumerate,3]{label=\roman*.}
+\setlist[enumerate,4]{label=\greek*}
+%    \end{macrocode}
+% \subsection{解的环境}
+% \changes{v2.3}{2018/03/30}{[\zhaofeng] Add \texttt{solution} environment}
+% \changes{v2.3}{2018/03/30}{[\zhaofeng] user configuration of \texttt{solution} environment name}
+% 包装 \pkg{amsthm} 的 \cs{proof}，可以通过 \cs{slname} 对默认”解“的文字进行修改。 
+%    \begin{macrocode}
+%%******************************
+\def\@slname{Solution}
+\def\slname#1{\renewcommand\@slname{#1}}
+
+\newenvironment{solution}
+{
+\proof[\@slname]
+}
+{
+%% no qed symbol in solution env
+\renewcommand{\qedsymbol}{}
+\endproof
+}
+%%******************************
+%    \end{macrocode}
+% \subsection{常用数学符号}
+%    \begin{macrocode}
+%%common math symbols go here
+%%*************************************************
+\def\v#1{\underline{#1}}
+\newcommand{\uc}{\underline{c}}    % c, vec
+\newcommand{\uv}{\underline{v}}    % x, vec
+\newcommand{\uw}{\underline{w}}    % w, vec
+\newcommand{\ux}{\underline{x}}    % x, vec
+\newcommand{\uy}{\underline{y}}    % y, vec
+\newcommand{\uz}{\underline{z}}    % z, vec
+\newcommand{\um}{\underline{m}}    % m, vec
+\newcommand{\rvx}{\mathsf{x}}    % x, r.v.
+\newcommand{\rvy}{\mathsf{y}}    % y, r.v.
+\newcommand{\rvz}{\mathsf{z}}    % z, r.v.
+\newcommand{\rvw}{\mathsf{w}}    % w, r.v.
+\newcommand{\rvH}{\mathsf{H}}    % H, r.v.
+\newcommand{\urvx}{\underline{\mathsf{x}}}    % x, r.v. vec
+\newcommand{\urvy}{\underline{\mathsf{y}}}    % y, r.v. vec
+\newcommand{\urvz}{\underline{\mathsf{z}}}    % z, r.v. vec
+\newcommand{\urvw}{\underline{\mathsf{w}}}    % w, r.v. vec
+
+\newcommand{\defas}{\triangleq} %\coloneqq
+\newcommand{\reals}{\mathbb{R}}
+\newcommand{\TT}{\mathrm{T}}    % transpose
+\DeclareMathOperator*{\argmax}{arg\,max}
+\DeclareMathOperator*{\argmin}{arg\,min}
+\DeclareMathOperator*{\argsup}{arg\,sup}
+\DeclareMathOperator*{\arginf}{arg\,inf}
+\DeclareMathOperator{\diag}{diag}
+\DeclareMathOperator{\Var}{Var}
+\DeclareMathOperator{\Cov}{Cov}
+\DeclareMathOperator{\MSE}{MSE}
+\DeclareMathOperator{\1}{\mathds{1}}
+\DeclareMathOperator{\In}{\mathbb{I}}
+\DeclareMathOperator{\E}{\mathbb{E}}
+\DeclareMathOperator{\Prob}{\mathbb{P}}
+\newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}}
+\def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}}
+%%************************************************************************************
+%</sty>
+%    \end{macrocode}
+%    \begin{macrocode}
+%<*dtx-style>
+\ProvidesPackage{dtx-style}
+\RequirePackage{hypdoc}
+\RequirePackage[UTF8,scheme=chinese]{ctex}
+\RequirePackage{newpxtext}
+\RequirePackage{newpxmath}
+\RequirePackage[
+  top=2.5cm, bottom=2.5cm,
+  left=4cm, right=2cm,
+  headsep=3mm]{geometry}
+\RequirePackage{array,longtable,booktabs}
+\RequirePackage{listings}
+\RequirePackage{fancyhdr}
+\RequirePackage{xcolor}
+\RequirePackage{enumitem}
+\RequirePackage{etoolbox}
+\RequirePackage{metalogo}
+
+\colorlet{thu@macro}{blue!60!black}
+\colorlet{thu@env}{blue!70!black}
+\colorlet{thu@option}{purple}
+\patchcmd{\PrintMacroName}{\MacroFont}{\MacroFont\bfseries\color{thu@macro}}{}{}
+\patchcmd{\PrintDescribeMacro}{\MacroFont}{\MacroFont\bfseries\color{thu@macro}}{}{}
+\patchcmd{\PrintDescribeEnv}{\MacroFont}{\MacroFont\bfseries\color{thu@env}}{}{}
+\patchcmd{\PrintEnvName}{\MacroFont}{\MacroFont\bfseries\color{thu@env}}{}{}
+
+\def\DescribeOption{%
+  \leavevmode\@bsphack\begingroup\MakePrivateLetters%
+  \Describe@Option}
+\def\Describe@Option#1{\endgroup
+  \marginpar{\raggedleft\PrintDescribeOption{#1}}%
+  \thu@special@index{option}{#1}\@esphack\ignorespaces}
+\def\PrintDescribeOption#1{\strut \MacroFont\bfseries\sffamily\color{thu@option} #1\ }
+\def\thu@special@index#1#2{\@bsphack
+  \begingroup
+    \HD@target
+    \let\HDorg@encapchar\encapchar
+    \edef\encapchar usage{%
+      \HDorg@encapchar hdclindex{\the\c@HD@hypercount}{usage}%
+    }%
+    \index{#2\actualchar{\string\ttfamily\space#2}
+           (#1)\encapchar usage}%
+    \index{#1:\levelchar#2\actualchar
+           {\string\ttfamily\space#2}\encapchar usage}%
+  \endgroup
+  \@esphack}
+
+\lstdefinestyle{lstStyleBase}{%
+   basicstyle=\small\ttfamily,
+   aboveskip=\medskipamount,
+   belowskip=\medskipamount,
+   lineskip=0pt,
+   boxpos=c,
+   showlines=false,
+   extendedchars=true,
+   upquote=true,
+   tabsize=2,
+   showtabs=false,
+   showspaces=false,
+   showstringspaces=false,
+   numbers=none,
+   linewidth=\linewidth,
+   xleftmargin=4pt,
+   xrightmargin=0pt,
+   resetmargins=false,
+   breaklines=true,
+   breakatwhitespace=false,
+   breakindent=0pt,
+   breakautoindent=true,
+   columns=flexible,
+   keepspaces=true,
+   gobble=2,
+   framesep=3pt,
+   rulesep=1pt,
+   framerule=1pt,
+   backgroundcolor=\color{gray!5},
+   stringstyle=\color{green!40!black!100},
+   keywordstyle=\bfseries\color{blue!50!black},
+   commentstyle=\slshape\color{black!60}}
+
+\lstdefinestyle{lstStyleShell}{%
+   style=lstStyleBase,
+   frame=l,
+   rulecolor=\color{purple},
+   language=bash}
+
+\lstdefinestyle{lstStyleLaTeX}{%
+   style=lstStyleBase,
+   frame=l,
+   rulecolor=\color{violet},
+   language=[LaTeX]TeX}
+
+\lstnewenvironment{latex}{\lstset{style=lstStyleLaTeX}}{}
+\lstnewenvironment{shell}{\lstset{style=lstStyleShell}}{}
+
+\setlist{nosep}
+
+\DeclareDocumentCommand{\option}{m}{\textsf{#1}}
+\DeclareDocumentCommand{\env}{m}{\texttt{#1}}
+\DeclareDocumentCommand{\pkg}{s m}{%
+  \texttt{#2}\IfBooleanF#1{\thu@special@index{package}{#2}}}
+\DeclareDocumentCommand{\file}{s m}{%
+  \texttt{#2}\IfBooleanF#1{\thu@special@index{file}{#2}}}
+\newcommand{\myentry}[1]{%
+  \marginpar{\raggedleft\color{purple}\bfseries\strut #1}}
+\newcommand{\note}[2][Note]{{%
+  \color{magenta}{\bfseries #1}\emph{#2}}}
+
+\def\thucoursework{\textsc{Thu}\-\textsc{Coursework}}
+\endinput
+%</dtx-style>
+%    \end{macrocode}
+% \Finale
+%
+\endinput
diff --git a/macros/latex/contrib/thucoursework/thucoursework.pdf b/macros/latex/contrib/thucoursework/thucoursework.pdf
new file mode 100644
index 0000000000..a22254b625
--- /dev/null
+++ b/macros/latex/contrib/thucoursework/thucoursework.pdf
author	Norbert Preining <norbert@preining.info>	2019-09-02 13:46:59 +0900
committer	Norbert Preining <norbert@preining.info>	2019-09-02 13:46:59 +0900
commit	e0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree	60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/latex/contrib/thucoursework