[Beamer] 有用的小技巧

快要 defense，presentation 決定採用 beamer 形式裝作 power point (原因嘛，簡單方便快捷！)。

技巧 1. 一般人對 beamer 感到最厭煩的就是每一個 \frame{} 裏都要加上 \frametitle{}，其作用有點類似文章的 section。漏掉的話會整欄空掉，蠻奇怪的。以下一段 code 能夠在接着的 frame 中不斷承繼上一個 frame 的 title (直至令立 title 為止)：

 \makeatletter  
 \def\beamer@checkframetitle{%  
 \begingroup  
  \edef\temp{%  
   \endgroup  
   \noexpand\frametitle  
   [\unexpanded\expandafter{\beamer@savedshortframetitle}]%  
   {\unexpanded\expandafter{\beamer@savedframetitle}}%  
  }  
 \temp  
 \@ifnextchar\bgroup\beamer@inlineframetitle{}}  
 \long\def\beamer@@frametitle[#1]#2{%  
  \beamer@ifempty{#2}{}{%  
   \gdef\insertframetitle{{#2\ifnum\beamer@autobreakcount>0\relax{}\space\usebeamertemplate*{frametitle  
 continuation}\fi}}%  
  \gdef\beamer@frametitle{#2}%  
  \gdef\beamer@shortframetitle{#1}%  
  \global\let\beamer@savedshortframetitle\beamer@shortframetitle  
   \global\let\beamer@savedframetitle\beamer@frametitle  
 }%  
 }  
  \global\let\beamer@savedshortframetitle\@empty  
   \global\let\beamer@savedframetitle\@empty  
 \makeatother  

技巧 2. 若數式以 align/align* environment 進行等號對齊，用家會發現在 "\\" 後加上 \pause 會出現錯誤。beamer 這先天的缺點有以下的 solution：

 \makeatletter  
 \def\pdftex@driver{pdftex.def}  
 \ifx\Gin@driver\pdftex@driver  
  \def\pgfsys@color@unstacked#1{%  
   \pdfliteral{\csname\string\color@#1\endcsname}%  
  }  
 \fi  
 \makeatother  

[Tikz] Draw contours with midway arrow

The code is as follows: In the preamble, paste (with the package "tikz" loaded of course!):

 \usetikzlibrary{decorations.pathreplacing,decorations.markings}  
 \tikzset{  
  % style to apply some styles to each segment of a path  
  on each segment/.style={  
   decorate,  
   decoration={  
    show path construction,  
    moveto code={},  
    lineto code={  
     \path [#1]  
     (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);  
    },  
    curveto code={  
     \path [#1] (\tikzinputsegmentfirst)  
     .. controls  
     (\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb)  
     ..  
     (\tikzinputsegmentlast);  
    },  
    closepath code={  
     \path [#1]  
     (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);  
    },  
   },  
  },  
  % style to add an arrow in the middle of a path  
  mid arrow/.style={postaction={decorate,decoration={  
     markings,  
     mark=at position .5 with {\arrow[#1]{stealth}}  
    }}},  
 }  

As an exmaple, see:

 \begin{tikzpicture}[scale=2]  
 \clip (0.6,3.75) rectangle (3.85,0.85);  
 \draw[thick] (0,0) ellipse (3 and 3);  
 \draw[postaction={on each segment={mid arrow}}] (60:2) arc (60:30:2) -- (30:2.8) arc(30:60:2.8)--cycle;  
 \draw[postaction={on each segment={mid arrow}}] (30:4.2)arc (30:60:4.2) --(60:3.2)arc (60:30:3.2)--cycle;  
 \node at (1.745,1.795) {$L_1(r)$};  
 \node at (0.9,2.15) {$L_2(r)$};  
 \node at (1.225,1.2) {$L_3(r)$};  
 \node at (2.275,1) {$L_4(r)$};  
 \node at (2.5,2.425) {$T_1(r)$};  
 \node at (3.45,1.65) {$T_2(r)$};  
 \node at (3.225,3.125) {$T_3(r)$};  
 \node at (1.575,3.325) {$T_4(r)$};  
 \end{tikzpicture}  

Calibri Font + Cambria Math font

\usepackage{unicode-math}

\usepackage{fontspec}
\setmainfont[Mapping=tex-text]{Calibri}
\setsansfont[Mapping=tex-text]{Calibri}

\setmathfont{Cambria Math}
\setmathfont[version=bold,FakeBold=3.5]{Cambria Math}
\newcommand{\bm}{\boldsymbol}

Record a useful code:

\newtheorem{ex}[thm]{Example}

\usepackage{xparse}

\ExplSyntaxOn

    \NewDocumentEnvironment{exam} { o }

     {\IfNoValueTF{#1}

     {\begin{ex}\begin{oframed}}{\begin{ex}[#1]\begin{oframed}}

     \ignorespaces

     }

     {\end{oframed}\end{ex}}

\ExplSyntaxOff

教授安裝 mathtime pro 2 字型

tex stackexchange 那有教授超簡單的使用方法：
http://tex.stackexchange.com/questions/110894/how-do-i-install-mtpro2

\pdfmapfile{=mtpro2.map}

在 office 也能夠輕鬆使用，不用安裝！(以前為安裝這字體弄得死去活來，耗費不少青春！)

Code

在 inline mdoe 時 matrix 縮細，display mode 時 matrix 為原本大小的方法：

Code

The complete Times-change using mathptmx

Some Example from the net

Drawing midway arrow:

\usepackage{tikz}
\usetikzlibrary{decorations.markings}

fix the comma in mathptmx

\usepackage{mathptmx}

\mathcode`,"8000

\begingroup

\lccode`\~`\,\lowercase{\endgroup

\def~{\mathpunct{\textrm{,}}}}

\usepackage{eucal}

\begin{document}

\showoutput

,$,$

\end{document}

Tikz 的軟件

無意中發現一套名為 tikzedt 的軟件。

http://www.tikzedt.org/quicktour.html

很方便，不用自己預先設計座標，也把一些搜尋需時的指令放在一個清單上。

為了熟習一下，自製的 vector 版小丑神頭像誔生！

http://ihome.ust.hk/~cclee/document/siuchausang.pdf

Record some code

Equations share the same numbering with theorems with ntheorem package

\newtheorem{thm}{Theorem}[section]
\numberwithin{equation}{section}
\makeatletter
\let\c@equation\c@thm
\makeatother

**********

change the font of sections, subsections, chapter to \sf
\usepackage{sectsty}
\allsectionsfont{\sffamily}

Record some code

Use xeCJK and mtpro2 at the same time:

\documentclass[cm-default,no-math]{article}
\usepackage[BoldFont,SlantFont]{xeCJK}
\setCJKmainfont[Mapping=tex-text]{PMingLiU}
\setmainfont[Mapping=tex-text]{Times New Roman}
\usepackage[scaled=0.92]{helvet}
\usepackage[lite,subscriptcorrection,nofontinfo,zswash]{mtpro2}
\straightbraces

LANG Microteaching

最近整左個 file 作為 micro taching 嘅 ``material" (其實都係做樣，有人睇先算)。

http://ihome.ust.hk/~cclee/document/microteaching.pdf

咁 present 時當然唔可以用 d 咁 dense 嘅野...，我求求其其將佢 extract 左做 slide

http://ihome.ust.hk/~cclee/document/testbeamer.pdf

當中所有圖都係 tikz 畫，真係好 Q 麻煩，不過幾煩都好，都係熟能生巧...。其中我 define 左兩個 command 幾好用，留喺呢個 blog 等自己想搵返先都方便 d。

畫兩條線之間嘅 arc about 某一點：
#1 = pt, #2 = from which angle, #3 = to which angle, #4 = radius
\newcommand{\arc}[4]{#1 + (#2:#4) arc (#2:#3:#4)}

至於畫直角：
#1 about which point:
#2: angle of diagonal point
#3 length of diagonal line
\newcommand{\rightangle}[3]{
\begin{scope}[shift={#1}]
\coordinate (the point u draw angle) at (0,0);
\coordinate (diagonal point) at (#2:#3);
\coordinate (one side) at ($(the point u draw angle)!0.707106781186!45:(diagonal point)$);
\coordinate (another side) at ($(the point u draw angle)!0.707106781186!-45:(diagonal point)$);
\draw(one side) -- (diagonal point)--(another side);
\end{scope}
}

實際上冇可能下下都好準確咁計哂 d angle 出黎 (太花時間)，所以好多時都係靠估，然後睇下 match 唔 match。

Confirmed enrollment

	Mon	Tue	Wed	Thu	Fri
09:00 - 09:20		MATH321 L1 (1504)		MATH321 L1 (1504)	MATH311 T1C (2463)
09:30 - 09:50
10:00 - 10:20
10:30 - 10:50	PHYS121 LA2 (6137)	MATH305 L1 (1504)		MATH305 L1 (1504)
11:00 - 11:20
11:30 - 11:50
12:00 - 12:20					MATH315 L1 (4504)
12:30 - 12:50
13:00 - 13:20		LANG208 T12 (5561)		LANG208 T12 (5561)
13:30 - 13:50			PHYS121 L1 (4504)		PHYS121 L1 (4504)
14:00 - 14:20		PHYS121 T1 (2306)
14:30 - 14:50
15:00 - 15:20	MATH315 T1B (3584)	MATH311 L1 (2465)		MATH311 L1 (2465)
15:30 - 15:50
16:00 - 16:20
16:30 - 16:50	MATH315 L1 (4504)
17:00 - 17:20
17:30 - 17:50
18:00 - 18:20	MATH321 T1A 4620			MATH305 T1A (4503)
18:30 - 18:50

Texmaker 還是 LyX？

最近在想那，有某個好數學的 (我猜) 預科生好像不太喜歡用 word 的 equation editor 和我交流。取而代之他鍾情於使用那種只要輸入 $  \ $ 指令便會自動 gen 出相應的 gif 的網頁。有些更是 GUI 的...。

有天他問我是否使用 texmaker (我想他是看到我某一頁日記了)，我立時興奮起來，有人又受我感染了？！可惜好像經過若干嘗試便放棄了的樣子。這情形亦曾經出現在我的某位同學身上 (它說想在上個 winter break 學的...)。

不得不承認 $\LaTeX$ 容易令初學者望而卻步，但相比起 C++，它絕對是容易上手的，因這套程式的使用本身不涉及任何 logic。說實話我不明白有甚麼原因會令人輕言放棄。

但事實所見「選擇性學習障礙」(很懶-.-) 的人確實存在，最近 (其實數月前在科大 math lab) 發現一款 WYSIWYG 的數學排版軟件，名叫 LyX。它能夠讓初學者``更"簡單地製造出優質的文件檔，不喜歡直接輸入指令的同學可以轉而嘗試這套軟件。

正體的積分號

在網上找到一個 package，它能夠把原本的 integral 換成直立的────國內出版的數學書籍常用的一種。

詳細安裝可在網上找到，package 為 mathabx。

它所修改的符號不是十全十美的，我們需要自己另外再作定義，我的是如此：

\usepackage{mathabx}
\DeclareMathSymbol{\sum}{\mathop}{largesymbols}{"50}
\DeclareMathSymbol{\supseteq}{\mathrel}{symbols}{"13}
\DeclareMathSymbol{\subseteq}{\mathrel}{symbols}{"12}
\DeclareMathSymbol{\subset}{\mathrel}{symbols}{"1A}
\DeclareMathSymbol{\supset}{\mathrel}{symbols}{"1B}
\DeclareMathSymbol{\cap}{\mathbin}{symbols}{"5C}
\DeclareMathSymbol{\cup}{\mathbin}{symbols}{"5B}
\DeclareMathSymbol{\complement} {\mathord}{AMSa}{"7B}
\DeclareMathDelimiter{\langle}{\mathopen}{symbols}{"68}{largesymbols}{"0A}
\DeclareMathDelimiter{\rangle}{\mathclose}{symbols}{"69}{largesymbols}{"0B}
\DeclareMathSymbol{\infty}{\mathord}{symbols}{"31}

\makeatletter
\DeclareRobustCommand\sqrt{\@ifnextchar[\@sqrt\sqrtsign}
\def\@sqrt[#1]{\root #1\of}
\makeatother

 

另一種方法，直接在 preamble 內加上

% upright integrals

%% \int will be upright (display mode)
%% \smallint will be upright (text mode)

%% \oldint will be slanted (display/text mode)
%% (\oldsmallint available, but not necessary)

\let\oldintop\intop
\def\oldint{\oldintop\nolimits}

\let\oldsmallint\smallint

\DeclareSymbolFont{EUEX}{U}{euex}{m}{n}

\DeclareSymbolFont{euexlargesymbols}{U}{euex}{m}{n}
\DeclareMathSymbol{\intop}{\mathop}{euexlargesymbols}{"52}
\def\int{\intop\nolimits}

\DeclareSymbolFont{euexsymbols} {U}{euex}{m}{n}
\DeclareMathSymbol{\smallint}{\mathop}{euexsymbols}{"52}

即能得到垂直的積分號。

---

好一段時間沒有用 $latex \LaTeX$ 打 project (語文功課)，原來我總是忘記在 \setmainfont 後加上 [Mapping=tex-text]，在 xeCJK package 下 \setCJKmainfont 同樣可使用這個 option。

Record some useful command for the environment tikzpicture.

• \begin{tikzpicture}[>=stealth,

  execute at end picture=%

  {

  \begin{pgfonlayer}{background}

  \path[fill=yellow,rounded corners]

  (current bounding box.south west) rectangle

  (current bounding box.north east);

  \end{pgfonlayer}

  }]

  %drawing command here

  \end{tikzpicture}

• \begin{tikzpicture}[remember picture,overlay]

  \node [scale=10,text opacity=0.2]

  at (current page.center) {Sample};

  \end{tikzpicture}

• \begin{tikzpicture}[remember picture,overlay]

  \node [xshift=1cm,yshift=1cm] at (current page.south west)

  [text width=7cm,fill=red!20,rounded corners,above right]

  {

  text

  };

  \end{tikzpicture}

• \usepackage{tikz}

  \usetikzlibrary{calc,through,backgrounds}

  \usetikzlibrary{decorations.pathmorphing}

  \usetikzlibrary{decorations.text}

  \usetikzlibrary{decorations.shapes}

• Introduction to 3D-plotting.
  http://www.fauskes.net/nb/introduction-to-sketch/

\usepackage{tikz}

\usetikzlibrary{calc,through,backgrounds}

\usetikzlibrary{decorations.pathmorphing}

\usetikzlibrary{decorations.text}

\usetikzlibrary{decorations.shapes}

關於 LaTeX

有同學表示想學 $\LaTeX$。
要寫 C++ 同 complie 返個 program 出黎，我地要有 visualstudio。
要寫 $\LaTeX$ 同 compile 返個 pdf 出黎，我地要好多種 compiler 中其中一種。

我以前係用 CTeX (內置 WinEdt)，可惜呢個軟件對繁體中文支持十分之弱。
取而代之我係用 TexMaker，詳細安裝可參見下面連結：
http://gtchen.pixnet.net/blog/post/4072739

跟足哂步驟，係時候學點樣打。網上面有好多好多 latex 教材，其中非常適合入門 ge 算係呢個：
http://yenlung.math.nccu.edu.tw/~site/drupal-5.1/idisk/quicklatex.pdf

理論上睇完上面呢個 pdf 已經可以得到好靚 ge 排版效果，有唔明可以再問。
而下都係一個幾有用 ge 網，有問題時亦可以呢到搵搵先。
http://edt1023.sayya.org/tex/latex123/node1.html

最後，關於 latex 的中文討論網站：
http://bbs.ctex.org/index.php

我某 d 文章可以作為參考：
http://ihome.ust.hk/~cclee/document/190present111.tex

方便自己的一堆 code

1. 很恐怖的 code1 = \sum_{r = 0}^k a_r \prod_{\scriptstyle j = 0
   \atop \scriptstyle j \ne r}^k (n + j)
   及
   \usepackage{txfonts}
   
   \DeclareSymbolFont{symbols}{OMS}{cmsy}{m}{n}



2. 下載 mtpro 2 後需要做以下的手腳。

   按結構把檔案拷貝到 CTex 內，再修改以下檔案

   $localtexmf\web2c\updmap.cfg中加入

   #mtpro2

   map mtpro2.map

   (相應地，若整套 CTeX 安裝，updmap.cfg 會在 C:\CTeX\texmf\miktex\config 內)$localtexmf\dvips\config\config.ps中加入

   p +mtpro2.map$localtexmf\pdftex\config\pdftex.cfg中加入

   map +mtpro2.map

   
   刷新檔案名資料庫後，運行updmap.exe一次，然後用巨集包的方式載入上述字體
   \usepackage[lite,subscriptcorrection,slantedGreek,nofontinfo]{mtpro2}
   刷新檔案 即在 prompt 下輸入 texhash。
   


3. 在 txfonts 這個 package 裏Change\DeclareSymbolFont{largesymbols}{OMX}{psycm}{m}{n}...to...\DeclareOption{bigsym}{\DeclareSymbolFont{largesymbols}{OMX}{psycm}{m}{n}}
   \ProcessOptions這樣便能夠把 txfonts 的 integral、summation 變成 latex 預設！效果不放上連結了，這份感動自己造出來吧！問題總是會存在的
   1. qed symbol 會比平常細一點：
   這個可以以
   \renewcommand{\qedsymbol}{\Large $\square$}
   解決
   2. \implies 和 \iff 的符號有明顯的醜化：
   在 preamble 引入
   \renewcommand{\iff}{\Leftrightarrow}
   \renewcommand{\implies}{\Rightarrow}
   勉強來說是可以的。
   3. \iint, \iiint 變回 txfonts 那樣的 integral：
   自家製符號：
   \renewcommand{\iiint}{\int\!\!\!\!\!\!\;\!\,\!\!\;\!\;\thinspace \int\!\!\!\!\!\!\;\!\,\!\!\;\!\;\thinspace \int}
   \renewcommand{\iint}{\int\!\!\!\!\!\!\;\!\,\!\!\;\!\;\thinspace \int }


4. You can add background in latex document
   http://latex-my.blogspot.com/2009/10/background-images.html


5. 使用 pifont 這個 package 後在 latex 裏你將能使用更多有趣的圖案。但我的 CTeX 和網上的 pdf 裏看到的圖案頗為不同，你也可以看看自己的 compiler 會出怎樣的圖案。
   

   1: \ding{1},\quad       2: \ding{2},\quad       3: \ding{3},\quad       \\4: \ding{4},\quad       5: \ding{5},\quad       6: \ding{6},\quad       \\7: \ding{7},\quad       8: \ding{8},\quad       9: \ding{9},\quad       \\10: \ding{10},\quad     11: \ding{11},\quad     12: \ding{12},\quad     \\13: \ding{13},\quad     14: \ding{14},\quad     15: \ding{15},\quad     \\16: \ding{16},\quad     17: \ding{17},\quad     18: \ding{18},\quad     \\19: \ding{19},\quad     20: \ding{20},\quad     21: \ding{21},\quad     \\22: \ding{22},\quad     23: \ding{23},\quad     24: \ding{24},\quad     \\25: \ding{25},\quad     26: \ding{26},\quad     27: \ding{27},\quad     \\28: \ding{28},\quad     29: \ding{29},\quad     30: \ding{30},\quad     \\31: \ding{31},\quad     32: \ding{32},\quad     33: \ding{33},\quad     \\34: \ding{34},\quad     35: \ding{35},\quad     36: \ding{36},\quad     \\37: \ding{37},\quad     38: \ding{38},\quad     39: \ding{39},\quad     \\40: \ding{40},\quad     41: \ding{41},\quad     42: \ding{42},\quad     \\43: \ding{43},\quad     44: \ding{44},\quad     45: \ding{45},\quad     \\46: \ding{46},\quad     47: \ding{47},\quad     48: \ding{48},\quad     \\49: \ding{49},\quad     50: \ding{50},\quad     51: \ding{51},\quad     \\52: \ding{52},\quad     53: \ding{53},\quad     54: \ding{54},\quad     \\55: \ding{55},\quad     56: \ding{56},\quad     57: \ding{57},\quad     \\58: \ding{58},\quad     59: \ding{59},\quad     60: \ding{60},\quad     \\61: \ding{61},\quad     62: \ding{62},\quad     63: \ding{63},\quad     \\64: \ding{64},\quad     65: \ding{65},\quad     66: \ding{66},\quad     \\67: \ding{67},\quad     68: \ding{68},\quad     69: \ding{69},\quad     \\70: \ding{70},\quad     71: \ding{71},\quad     72: \ding{72},\quad     \\73: \ding{73},\quad     74: \ding{74},\quad     75: \ding{75},\quad     \\76: \ding{76},\quad     77: \ding{77},\quad     78: \ding{78},\quad     \\79: \ding{79},\quad     80: \ding{80},\quad     81: \ding{81},\quad     \\82: \ding{82},\quad     83: \ding{83},\quad     84: \ding{84},\quad     \\85: \ding{85},\quad     86: \ding{86},\quad     87: \ding{87},\quad     \\88: \ding{88},\quad     89: \ding{89},\quad     90: \ding{90},\quad     \\91: \ding{91},\quad     92: \ding{92},\quad     93: \ding{93},\quad     \\94: \ding{94},\quad     95: \ding{95},\quad     96: \ding{96},\quad     \\97: \ding{97},\quad     98: \ding{98},\quad     99: \ding{99},\quad     \\100: \ding{100},\quad   101: \ding{101},\quad   102: \ding{102},\quad   \\103: \ding{103},\quad   104: \ding{104},\quad   105: \ding{105},\quad   \\106: \ding{106},\quad   107: \ding{107},\quad   108: \ding{108},\quad   \\109: \ding{109},\quad   110: \ding{110},\quad   111: \ding{111},\quad   \\112: \ding{112},\quad   113: \ding{113},\quad   114: \ding{114},\quad   \\115: \ding{115},\quad   116: \ding{116},\quad   117: \ding{117},\quad   \\118: \ding{118},\quad   119: \ding{119},\quad   120: \ding{120},\quad   \\121: \ding{121},\quad   122: \ding{122},\quad   123: \ding{123},\quad   \\124: \ding{124},\quad   125: \ding{125},\quad   126: \ding{126},\quad   \\127: \ding{127},\quad   128: \ding{128},\quad   129: \ding{129},\quad   \\130: \ding{130},\quad   131: \ding{131},\quad   132: \ding{132},\quad   \\133: \ding{133},\quad   134: \ding{134},\quad   135: \ding{135},\quad   \\136: \ding{136},\quad   137: \ding{137},\quad   138: \ding{138},\quad   \\139: \ding{139},\quad   140: \ding{140},\quad   141: \ding{141},\quad   \\142: \ding{142},\quad   143: \ding{143},\quad   144: \ding{144},\quad   \\145: \ding{145},\quad   146: \ding{146},\quad   147: \ding{147},\quad   \\148: \ding{148},\quad   149: \ding{149},\quad   150: \ding{150},\quad   \\151: \ding{151},\quad   152: \ding{152},\quad   153: \ding{153},\quad   \\154: \ding{154},\quad   155: \ding{155},\quad   156: \ding{156},\quad   \\157: \ding{157},\quad   158: \ding{158},\quad   159: \ding{159},\quad   \\160: \ding{160},\quad   161: \ding{161},\quad   162: \ding{162},\quad   \\163: \ding{163},\quad   164: \ding{164},\quad   165: \ding{165},\quad   \\166: \ding{166},\quad   167: \ding{167},\quad   168: \ding{168},\quad   \\169: \ding{169},\quad   170: \ding{170},\quad   171: \ding{171},\quad   \\172: \ding{172},\quad   173: \ding{173},\quad   174: \ding{174},\quad   \\175: \ding{175},\quad   176: \ding{176},\quad   177: \ding{177},\quad   \\178: \ding{178},\quad   179: \ding{179},\quad   180: \ding{180},\quad   \\181: \ding{181},\quad   182: \ding{182},\quad   183: \ding{183},\quad   \\184: \ding{184},\quad   185: \ding{185},\quad   186: \ding{186},\quad   \\187: \ding{187},\quad   188: \ding{188},\quad   189: \ding{189},\quad   \\190: \ding{190},\quad   191: \ding{191},\quad   192: \ding{192},\quad   \\193: \ding{193},\quad   194: \ding{194},\quad   195: \ding{195},\quad   \\196: \ding{196},\quad   197: \ding{197},\quad   198: \ding{198},\quad   \\199: \ding{199},\quad   200: \ding{200},\quad   201: \ding{201},\quad   \\202: \ding{202},\quad   203: \ding{203},\quad   204: \ding{204},\quad   \\205: \ding{205},\quad   206: \ding{206},\quad   207: \ding{207},\quad   \\208: \ding{208},\quad   209: \ding{209},\quad   210: \ding{210},\quad   \\211: \ding{211},\quad   212: \ding{212},\quad   213: \ding{213},\quad   \\214: \ding{214},\quad   215: \ding{215},\quad   216: \ding{216},\quad   \\217: \ding{217},\quad   218: \ding{218},\quad   219: \ding{219},\quad   \\220: \ding{220},\quad   221: \ding{221},\quad   222: \ding{222},\quad   \\223: \ding{223},\quad   224: \ding{224},\quad   225: \ding{225},\quad   \\226: \ding{226},\quad   227: \ding{227},\quad   228: \ding{228},\quad   \\229: \ding{229},\quad   230: \ding{230},\quad   231: \ding{231},\quad   \\232: \ding{232},\quad   233: \ding{233},\quad   234: \ding{234},\quad   \\235: \ding{235},\quad   236: \ding{236},\quad   237: \ding{237},\quad   \\238: \ding{238},\quad   239: \ding{239},\quad   240: \ding{240},\quad   \\241: \ding{241},\quad   242: \ding{242},\quad   243: \ding{243},\quad   \\244: \ding{244},\quad   245: \ding{245},\quad   246: \ding{246},\quad   \\247: \ding{247},\quad   248: \ding{248},\quad   249: \ding{249},\quad   \\250: \ding{250},\quad   251: \ding{251},\quad   252: \ding{252},\quad   \\253: \ding{253},\quad   254: \ding{254},\quad   255: \ding{255},\quad   \\



6. 最近造了一個 heading 的樣式 (字體大小必須為 12 pt，否則自行調校)\documentclass[a4 paper, 12 pt]{article}
   

   \usepackage[table]{xcolor}

   \begin{document}

   \noindent\begin{tabular}{l}

   \rowcolor{black!60}

   \textcolor[rgb]{0.50,1.00,1.00}{HEADING}\\

   \end{tabular}

   \\[-24.7pt]

   \rule{\textwidth}{.5pt}

   \\[3pt]

   \rule{.35\textwidth}{.5pt}

   Content

   \end{document}



7. \begin{tabular}{ |p{4cm} | p{10cm}|}
   % Content\end{tabular}左右 column 的闊度能夠被調整。


8. 在 latex 使用 heading：
   

   \usepackage{fancyhdr}

   \pdfpagewidth 8.5in

   \pdfpageheight 11in

   \pagestyle{fancy}

   \headheight 35pt

   \renewcommand{\headrulewidth}{0pt}

   \fancyhead{} % 清除所有頁首設定

   \fancyfoot{} % 清除所有頁尾設定

   \fancyhead[LE,RO]{\bfseries\slshape \rightmark}

   \fancyhead[LO,RE]{\bfseries \slshape \leftmark}

   \fancyfoot[C]{~\thepage~}

9. \DeclareSymbolFont{largesymbols}{OMX}{psycm}{m}{n}

   ...to...

   \DeclareOption{bigsym}{\DeclareSymbolFont{largesymbols}{OMX}{psycm}{m}{n}}



10. We can use
    \renewcommand{\labelenumiv}{\Roman{enumiv}}
    to change the list of enumerate environment.
    Similar argument can be made to theenumii, theenumiii, theenumiv, ... .Instead of \Roman,
11. 
    

    Command	Example
    \arabic	1, 2, 3 ...
    \alph	a, b, c ...
    \Alph	A, B, C ...
    \roman	i, ii, iii ...
    \Roman	I, II, III ...
    \fnsymbol	Aimed at footnotes (see below), but prints a sequence of symbols.

使用 pifont 這個 package 後在 latex 裏你將能使用更多有趣的圖案。但我的 CTeX 和網上的 pdf 裏看到的圖案頗為不同，你也可以看看自己的 compiler 會出怎樣的圖案。

1: \ding{1},\quad       2: \ding{2},\quad       3: \ding{3},\quad       \\4: \ding{4},\quad       5: \ding{5},\quad       6: \ding{6},\quad       \\7: \ding{7},\quad       8: \ding{8},\quad       9: \ding{9},\quad       \\10: \ding{10},\quad     11: \ding{11},\quad     12: \ding{12},\quad     \\13: \ding{13},\quad     14: \ding{14},\quad     15: \ding{15},\quad     \\16: \ding{16},\quad     17: \ding{17},\quad     18: \ding{18},\quad     \\19: \ding{19},\quad     20: \ding{20},\quad     21: \ding{21},\quad     \\22: \ding{22},\quad     23: \ding{23},\quad     24: \ding{24},\quad     \\25: \ding{25},\quad     26: \ding{26},\quad     27: \ding{27},\quad     \\28: \ding{28},\quad     29: \ding{29},\quad     30: \ding{30},\quad     \\31: \ding{31},\quad     32: \ding{32},\quad     33: \ding{33},\quad     \\34: \ding{34},\quad     35: \ding{35},\quad     36: \ding{36},\quad     \\37: \ding{37},\quad     38: \ding{38},\quad     39: \ding{39},\quad     \\40: \ding{40},\quad     41: \ding{41},\quad     42: \ding{42},\quad     \\43: \ding{43},\quad     44: \ding{44},\quad     45: \ding{45},\quad     \\46: \ding{46},\quad     47: \ding{47},\quad     48: \ding{48},\quad     \\49: \ding{49},\quad     50: \ding{50},\quad     51: \ding{51},\quad     \\52: \ding{52},\quad     53: \ding{53},\quad     54: \ding{54},\quad     \\55: \ding{55},\quad     56: \ding{56},\quad     57: \ding{57},\quad     \\58: \ding{58},\quad     59: \ding{59},\quad     60: \ding{60},\quad     \\61: \ding{61},\quad     62: \ding{62},\quad     63: \ding{63},\quad     \\64: \ding{64},\quad     65: \ding{65},\quad     66: \ding{66},\quad     \\67: \ding{67},\quad     68: \ding{68},\quad     69: \ding{69},\quad     \\70: \ding{70},\quad     71: \ding{71},\quad     72: \ding{72},\quad     \\73: \ding{73},\quad     74: \ding{74},\quad     75: \ding{75},\quad     \\76: \ding{76},\quad     77: \ding{77},\quad     78: \ding{78},\quad     \\79: \ding{79},\quad     80: \ding{80},\quad     81: \ding{81},\quad     \\82: \ding{82},\quad     83: \ding{83},\quad     84: \ding{84},\quad     \\85: \ding{85},\quad     86: \ding{86},\quad     87: \ding{87},\quad     \\88: \ding{88},\quad     89: \ding{89},\quad     90: \ding{90},\quad     \\91: \ding{91},\quad     92: \ding{92},\quad     93: \ding{93},\quad     \\94: \ding{94},\quad     95: \ding{95},\quad     96: \ding{96},\quad     \\97: \ding{97},\quad     98: \ding{98},\quad     99: \ding{99},\quad     \\100: \ding{100},\quad   101: \ding{101},\quad   102: \ding{102},\quad   \\103: \ding{103},\quad   104: \ding{104},\quad   105: \ding{105},\quad   \\106: \ding{106},\quad   107: \ding{107},\quad   108: \ding{108},\quad   \\109: \ding{109},\quad   110: \ding{110},\quad   111: \ding{111},\quad   \\112: \ding{112},\quad   113: \ding{113},\quad   114: \ding{114},\quad   \\115: \ding{115},\quad   116: \ding{116},\quad   117: \ding{117},\quad   \\118: \ding{118},\quad   119: \ding{119},\quad   120: \ding{120},\quad   \\121: \ding{121},\quad   122: \ding{122},\quad   123: \ding{123},\quad   \\124: \ding{124},\quad   125: \ding{125},\quad   126: \ding{126},\quad   \\127: \ding{127},\quad   128: \ding{128},\quad   129: \ding{129},\quad   \\130: \ding{130},\quad   131: \ding{131},\quad   132: \ding{132},\quad   \\133: \ding{133},\quad   134: \ding{134},\quad   135: \ding{135},\quad   \\136: \ding{136},\quad   137: \ding{137},\quad   138: \ding{138},\quad   \\139: \ding{139},\quad   140: \ding{140},\quad   141: \ding{141},\quad   \\142: \ding{142},\quad   143: \ding{143},\quad   144: \ding{144},\quad   \\145: \ding{145},\quad   146: \ding{146},\quad   147: \ding{147},\quad   \\148: \ding{148},\quad   149: \ding{149},\quad   150: \ding{150},\quad   \\151: \ding{151},\quad   152: \ding{152},\quad   153: \ding{153},\quad   \\154: \ding{154},\quad   155: \ding{155},\quad   156: \ding{156},\quad   \\157: \ding{157},\quad   158: \ding{158},\quad   159: \ding{159},\quad   \\160: \ding{160},\quad   161: \ding{161},\quad   162: \ding{162},\quad   \\163: \ding{163},\quad   164: \ding{164},\quad   165: \ding{165},\quad   \\166: \ding{166},\quad   167: \ding{167},\quad   168: \ding{168},\quad   \\169: \ding{169},\quad   170: \ding{170},\quad   171: \ding{171},\quad   \\172: \ding{172},\quad   173: \ding{173},\quad   174: \ding{174},\quad   \\175: \ding{175},\quad   176: \ding{176},\quad   177: \ding{177},\quad   \\178: \ding{178},\quad   179: \ding{179},\quad   180: \ding{180},\quad   \\181: \ding{181},\quad   182: \ding{182},\quad   183: \ding{183},\quad   \\184: \ding{184},\quad   185: \ding{185},\quad   186: \ding{186},\quad   \\187: \ding{187},\quad   188: \ding{188},\quad   189: \ding{189},\quad   \\190: \ding{190},\quad   191: \ding{191},\quad   192: \ding{192},\quad   \\193: \ding{193},\quad   194: \ding{194},\quad   195: \ding{195},\quad   \\196: \ding{196},\quad   197: \ding{197},\quad   198: \ding{198},\quad   \\199: \ding{199},\quad   200: \ding{200},\quad   201: \ding{201},\quad   \\202: \ding{202},\quad   203: \ding{203},\quad   204: \ding{204},\quad   \\205: \ding{205},\quad   206: \ding{206},\quad   207: \ding{207},\quad   \\208: \ding{208},\quad   209: \ding{209},\quad   210: \ding{210},\quad   \\211: \ding{211},\quad   212: \ding{212},\quad   213: \ding{213},\quad   \\214: \ding{214},\quad   215: \ding{215},\quad   216: \ding{216},\quad   \\217: \ding{217},\quad   218: \ding{218},\quad   219: \ding{219},\quad   \\220: \ding{220},\quad   221: \ding{221},\quad   222: \ding{222},\quad   \\223: \ding{223},\quad   224: \ding{224},\quad   225: \ding{225},\quad   \\226: \ding{226},\quad   227: \ding{227},\quad   228: \ding{228},\quad   \\229: \ding{229},\quad   230: \ding{230},\quad   231: \ding{231},\quad   \\232: \ding{232},\quad   233: \ding{233},\quad   234: \ding{234},\quad   \\235: \ding{235},\quad   236: \ding{236},\quad   237: \ding{237},\quad   \\238: \ding{238},\quad   239: \ding{239},\quad   240: \ding{240},\quad   \\241: \ding{241},\quad   242: \ding{242},\quad   243: \ding{243},\quad   \\244: \ding{244},\quad   245: \ding{245},\quad   246: \ding{246},\quad   \\247: \ding{247},\quad   248: \ding{248},\quad   249: \ding{249},\quad   \\250: \ding{250},\quad   251: \ding{251},\quad   252: \ding{252},\quad   \\253: \ding{253},\quad   254: \ding{254},\quad   255: \ding{255},\quad   \\