我写的第一个LaTeX文档：Me Into LaTeX
可在 http://pickup.mofile.com/5383075077161531获取源代码的彩色语法高亮版本（pdf文件）。
可在 http://pickup.mofile.com/6326815828044539 获取其编译完成版本（pdf文件）。 /documentclass[a4paper]{report}
/usepackage{indentfirst}
/usepackage{CJK}
/usepackage{amsmath}
/usepackage{amssymb}
/usepackage{mathrsfs}
/usepackage{eufrak}
/begin{CJK}{GBK}{song}
/newtheorem{Theorem}{定理}[section]
/newtheorem{FirstTheorem}{定理}
/newtheorem{NextTheorem}[FirstTheorem]{定理}
/title{Me Into /LaTeX}
/author{Utensil/thanks{Thanks to the reader.}}
/date{/today}
/begin{document}
/maketitle
/chapter*{Preface}
This chapter will not be enumerated. //
终于将这个我的第一个/TeX{}文档写完了。这份文档简单地介绍了/TeX{}的基本知识、常用环境，以及数学环境。//
写这个文档的初衷其实是练习，这使得这个文档的源代码是和它讲述的/TeX{}知识共同成长的，我学到了什么程度，就用
什么程度的/TeX{}命令来进行排版。甚至在许多地方，文档和其源代码是密不可分的整体，共同完成对/TeX{}知识的介绍。
例如，在一开始的许多地方，我没有在文档中同时展示源代码和其效果，我只在文档中给出其效果，而让读者自行查找是
什么源代码实现了这个效果$/cdots/cdots$//
读者可能会对这份文档全部由英文写成表示愤慨，可是这里头很多陌生单词是和命令名一样的，其余则是生词不超过20个
的浅易英文，毕竟，我英文程度很一般。//
我估计其实没什么人会看这份文档的，所以说明就只作这么多了。//
大家有什么问题可以在我的博客http://blog.csdn.net/utensil/留言，或者发邮件到[email protected]。最后数学符
号列表那里不知为什么总是处理不好，希望哪位高手指点一下。//
P.S.这份文档是在C/TeX{}下完成和进行编译的，感谢为C/TeX{}付出的所有人！
/tableofcontents
/chapter{Basics}
/section{Spaces and Reserved Symbols}
It does not matter whether you enter one or several spaces after a
word.
An empty line starts a new paragraph.
These symbols have to be slashed: /# /$ /% /^{} /& /_ /{ /} /~{}
But if we slash $/backslash$ will get an // line break,it's the same
as the
/newline $/backslash$newline.
/LaTeX{} will ignore the spaces after an order.
/ldots
/section{Hyphenation}
We can tell /LaTeX/ how to hyphenate,for example,this long long word: su/-per/-cal/-%
i/-frag/-i/-lis/-tic/-ex/-pi/-%
al/-i/-do/-cious.
We can tell /LaTeX/ not to hyphenate,for example,this long long
word: /mbox{supercalifragilisticexpialidocious}.
This will cause an ``underfull hbox''.
If we lower the quality demand,/LaTeX/ will do it like this:/sloppy
/mbox{supercalifragilisticexpialidocious}.
That's horrible,isn't it?So we have to resume it./fussy
We can draw a quad around the
texts:/fbox{supercalifragilisticexpialidocious}
/section{Special Symbols}
``sth''
`another sth'
-
--
---
$-1$
sth/~ sth
sth/~{}sth
$/sim$
$-30/,^{/circ}/mathrm{C}$
ff
f/mbox{}f
H/^otel,
na/"/i ve
/'el/`eve
sm/o rrebr/o d
!`Se/~norita!
Sch/"onbrunner Schlo/ss{} Stra/ss e
/`o{} /'o{} /^o{} /~o{} /=o{} /.o{} /"o{}
/c c /u o /v o /H o /c o /d o /b o /t oo
/oe{} /OE{} /ae{} /AE{} /aa{} /AA{}
/o{} /O{} /l{} /L{} /i{} /j{}
!`{} ?`
Mr.~Smith was happy to see her.
I like BASIC/@. What about you?
/section{Structrue}
$/backslash$documentclass[options]/{class/}
/subsection{Classes}
article
report
book
slides
/subsection{Options}
10pt[ 11pt,12pt/ldots]
letterpaper [
a4paper,a5paper,b5paper,executivepaper,legalpaper/ldots]
fleqn: Left align the math formulas.
leqno: Put the serial number of math formulas on its left.
titlepage, notitlepage
onecolumn, twocolumn
twoside, oneside
openright, openany: Where the new chapter starts.
/subsection{Layers}
$/backslash$part/{/ldots/}
$/backslash$chapter/{/ldots/}
$/backslash$section/{/ldots/}
$/backslash$subsection/{/ldots/}
$/backslash$subsubsection/{/ldots/}
$/backslash$paragragh/{/ldots/}
$/backslash$subparagragh/{/ldots/}
/section{Cross Reference}
/label{Cross Reference} See section /ref{Cross Reference} on page
/pageref{Cross Reference}.
/section{FootNote}
See the footnote/footnote{We don't need to say anything here.}.
/section{Emphasizing}
You can use /underline{$/backslash$underline},but
/emph{$/backslash$emph} is recommended.
/textit{You can also /emph{emphasize} text if it is set in italics,}
/textsf{in a /emph{sans-serif} font,} /texttt{or in
/emph{typewriter} style.}
/section{Text Fonts}
/textrm{Roman}
/textsf{Sans Serif}
/texttt{Typewriter}
/textmd{medium}
/textbf{Bold Face}
/textup{Upright}
/textit{italic}
/textsl{slanted}
/textsc{Small Caps}
/section{Text Size}
/tiny{Tiny}
/scriptsize{Scriptsize}
/footnotesize{Footnotesize}
/small{Small}
/normalsize{Normalsize}
/large{large}
/Large{Large}
/LARGE{LARGE}
/huge{huge}
/Huge{Huge}
/normalsize{} %To Recover.
/section{New Command}
It's not recommended to set a font or a size for some texts
directly,you should pack it in a style and apply the style to all
the texts for which you want to set the font and the size.
Use
$/backslash$newcommand/{/emph{name}/}[/emph{num}]/{/emph{definition}/}/
to pack styles or other commands.//
Use
$/backslash$renewcommand/{/emph{name}/}[/emph{num}]/{/emph{definition}/}/
to repack it.//
For example://
/newcommand{/Ltt}[1]{/Large{/texttt{#1}}}
/Ltt{Large Typewriter}
/renewcommand{/Ltt}[1]{/Huge{/textsf{#1}}}
/Ltt{Huge Sans Serif}
/normalsize{}
/chapter{Useful Environments}
/section{Lists}
/subsection{Itemize}
Default Style:
/begin{itemize}
/item Apple
/item Pear
/item Banana
/end{itemize}
Customized Style/footnote{But it looks stupid.}:
/begin{itemize}
/item[*] Eye
/item[*] Nose
/item[*] Ear
/end{itemize}
/subsection{Enumerate}
/begin{enumerate}
/item Point
/item Line
/item Polygon
/end{enumerate}
/subsection{Description}
I prefer calling it definitions.
/begin{description}
/item[erkl/" aren]German word,meaning ``explain''.
/item[kl/" aren]German word,meaning ``clear''.
/end{description}
/section{Aligning}
/subsection{Flushleft}
/begin{flushleft}
This text is// left-aligned. /LaTeX{} is not trying to// make each
line the same length.
/end{flushleft}
/subsection{Flushright}
/begin{flushright}
This text is// left-aligned. /LaTeX{} is not trying to// make each
line the same length.
/end{flushright}
/subsection{Center}
/begin{center}
In the tremendous sea of faces.//
We met,gathered then seperated.//
I hope our friendship will go beyond time and space.//
Wish you
happiness and merriment.
/end{center}
/section{Quoting}
/subsection{Quote}
In /emph{The Winter's Tale},Shakespear said:
/begin{quote}
I should leave grazing,were I of your flock,and only live by gazing.
/end{quote}
/subsection{Quotation}
Quoting paragraphs:
/begin{quotation}
This fertile and sheltered tract of country, in which the fields are
never brown and the springs never dry, is bounded on the south by
the bold chalk ridge/ldots
The district is of historic, no less than of topographical interest.
The Vale was known in former times as the Forest of White Hart, from
a curious legend of King Henry III's reign/ldots
The forests have departed, but some old customs of their shades
remain. Many, however, linger only in a metamorphosed or disguised
form. /ldots
/end{quotation}
/subsection{Verse}
It's used for quoting poems.
/begin{verse}
/begin{center}
I've Got A Pain In My Sawdust
w. Henry Edward Warner m. Herman Avery Wade
/end{center}
/ldots
I've got a pain in my sawdust, //
That's what's the matter with me;//
Something is wrong with my little inside,//
I'm just as sick as can be.
Don't let me faint, //
someone get me a fan,//
Someone else run for the medicine man,//
Ev'ryone hurry as fast as you can,//
I've got a pain in my sawdust.
/ldots
Oh, sad was the day for the little bisque doll,//
For they cut all her stitches away,//
And looked for the seat of the terrible ache;//
``T'was a delicate task", they all say,
For none of the surgeons had ever before//
Performed on a dolly's inside,//
They tried to restuff her but didn't know how,//
And this was her wail as she died;//
I've got a pain/ldots
/end{verse}
/section{Just Show It In The Way That It's Typed}
/begin{verbatim}
Use the pair of
/begin{verbatim}
And
/end{verbatim}
/verb| /end{verbatim}|
/begin{verbatim}
Or
/verb| Contents that you want them to be
shown in the way it's typed |
Actually,| pair can be replaced by any symbol pair
like + # @ &
expect * and space,
I guess it's prepared for CODES.
/end{verbatim}
/section{Tabular}
Now it's time to create tables.
/verb|/begin{Tabular}{|/emph{Table Style}/verb|}|
/emph{Table Contents}
/verb|/end{Tabular}|
/subsection{Table Style}
/emph{Table Style}/ is not responsible for the creation of horizonal
lines in the table,that's the responsibility of /emph{Table
Contents}'s.
/begin{description}
/item[l,r,c] creates a row that is left-aligned,right-aligned or
centered.
/item[p/{/emph{width}/}] creates a row by the given width.
/item[$|$] creates a vertical line to separate rows.
/item[@/{/emph{symbol}/}]separate rows with the symbol
/emph{symbol}.
/end{description}
/subsection{Table Contents}
/begin{description}
/item[/&] jump to the next row.
/item[$/backslash/backslash$] jump to the next line.
/item[$/backslash$hline] creates a horizonal line through all rows.
/item[$/backslash$cline/{/emph{i}-/emph{j}/}] creates a horizonal line from row /emph{i} to row /emph{j}.
/end{description}
/subsection{Examples}
An ordinary table://
/begin{tabular}{|r|l|}
/hline
7C0 & hexadecimal //
3700 & octal // /cline{2-2}
11111000000 & binary //
/hline /hline
1984 & decimal //
/hline
/end{tabular}
////
Using /verb|@{}|/ to coordinate the radix point://
/begin{tabular}{c r @{.} l}
Pi expression &
/multicolumn{2}{c}{Value} //
/hline
$/pi$ & 3&1416 //
$/pi^{/pi}$ & 36&46 //
$(/pi^{/pi})^{/pi}$ & 80662&7 //
/end{tabular}
/section{Where To Put It?Float It!}
/verb|begin{figure}[|/emph{placement specifier}]
or
/verb|begin{table}[|/emph{placement specifier}]
//////
/begin{tabular}{c @{} c}
placement specifier & where to put it//
/hline
h & put it on the current page. //
t & put it on the top of a page.//
b & put it on the bottom of a page.//
p & put it on an individual page.//
! & place it rigidly as placement specifier requested.//
/hline
/end{tabular}
////
Figure~/ref{Empty} is an example of Pop-Art.
/begin{figure}[!hbp]
/makebox[/textwidth]{/framebox[5cm]{/rule{0pt}{5cm}}} /caption{Five
by Five in Centimetres.} /label{Empty}
/end{figure}
/section{Protect Fragile Commands/protect/footnote{For example,protecting my footnote.}}
Without /verb|/protect|,I can't even put a footnote for the title of
a section.
/chapter{Math Formulas}
Yeah!Eventually we've reached the most powerful function and also
the most exciting part of /LaTeX---Math formulas!We might use the
AMS-/LaTeX/ or other macros.
/section{Math Modes}
/subsection{Math Formulas In Paragraphs}
There are three choice:
/verb|/begin{math}|/emph{Formula}/verb|/end{math}|
/verb|$|/emph{Formula}/verb|$|
/verb|/(| /emph{Formula} /verb|/)|
/subsection{Math Formulas In Display Mode}
The formula will stand alone,and will not be enumerated.
/verb|/begin{displaymath}|/emph{Formula}/verb|/end{displaymath}|
/verb|/[| /emph{Formula} /verb|/]|
/subsection{Math Formulas In Equation Mode}
The formula will stand alone,and will be enumerated.If we use
/verb|/begin{equation*}|,the equations will not be enumerated.
/verb|/begin{equation}|/emph{Formula}/verb|/end{equation}|
/subsection{Examples}
Formulas in paragraph,$/lim_{n /to /infty} /sum_{k=1}^n
/frac{1}{k^2} = /frac{/pi^2}{6}$.
Formulas in display mode:
/begin{displaymath}
/lim_{n /to /infty} /sum_{k=1}^n /frac{1}{k^2} = /frac{/pi^2}{6}
/end{displaymath}
Formulas in equation mode/footnote{With Package /emph{amsfonts}/ or
/emph{amssymb},we can have the blackboard bold font for sets.}:
/begin{equation}
/forall x /in /mathbb{R}: /qquad x^{2} /geq 0
/end{equation}
Every letter in math mode will be treated as a variable,except when
it's in /verb|/textrm{}|/ or /verb|/mathrm{}|:
/begin{equation}
x^{2} /geq 0/qquad /textrm{for all }x/in/mathbb{R}
/end{equation}
The difference between /verb|/mathrm{}|/ and /verb|/textrm{}|/ as
follows/footnote{If Package /emph{amsmath} is used,there will be no
difference.}:
/begin{equation}
2^{/textrm{nd}} /quad 2^{/mathrm{nd}}
/end{equation}
See Section /ref{Align}/ on Page /pageref{Align} to learn to deal
with equations.
/section{Math Spacing}
/subsection{Units}
/begin{tabular}{c @{/quad} l}
pt & point,$/frac{1}{72.27}$/ inch.////
bp & Adobe big point,$/frac{1}{72}$/ inch.////
pc & pica,12pt////
mm & millimeter////
cm & centimeter////
in & inch,25.4mm////
em & similar to the width of M.////
ex & similar to the height of x.
/end{tabular}
/subsection{Spaces}
/begin{tabular}{c @{/quad} l}
/verb|/,| & $/frac{3}{18}$/ quads.////
/verb|/:| & $/frac{4}{18}$/ quads.////
/verb|/;| & $/frac{5}{18}$/ quads.////
/verb|/!| & $-/frac{3}{18}$/ quads.////
/verb|/quad|/ & 1 quad,similar to the width of M.////
/verb|/qquad|/ & 2 quads.
/end{tabular}
/subsection{Phantom}
/verb|/phantom|/ reserves room for something that exists but not to
be displayed.
See examples://
/begin{tabular}{c @{/quad} l}
${}^{12}_{6}/textrm{C}$ & /verb|{}^{12}_{6}/textrm{C}|////
${}^{12}_{/phantom{0}6}/textrm{C}$ & /verb|{}^{12}_{/phantom{0}6}/textrm{C}|////
$/Gamma_{ij}^{k}$ & /verb|/Gamma_{ij}^{k}|////
$/Gamma_{ij}^{/phantom{ij}k}$ & /verb|/Gamma_{ij}^{/phantom{ij}k}|
/end{tabular}////
See Section /ref{Sup and Sub} on Page /pageref{Sup and Sub} to learn
/emph{Superscript and Subscript}.
/section{Math Sizing}
/subsection{Setting Size}
/[/displaystyle{/backslash/mathrm{displaystyle/{/}}}/]
/[/textstyle{/backslash/mathrm{textstyle/{/}}}/]
/[/scriptstyle{/backslash/mathrm{scriptstyle/{/}}}/]
/[/scriptscriptstyle{/backslash/mathrm{scriptscriptstyle/{/}}}/]
/subsection{Pairing size}
/begin{tabular}{|l|}
/hline /verb|/Bigg(/bigg(/Big(/big(/big)/Big)/bigg)/Bigg)|//
/hline
/end{tabular}
/[/Bigg(/bigg(/Big(/big(/big)/Big)/bigg)/Bigg)/]
/begin{tabular}{|l|}
/hline/verb@/Bigg/{/bigg/{/Big/{/big/{/big/}/Big/}/bigg/}/Bigg/}@//
/hline
/end{tabular}
/[/Bigg/{/bigg/{/Big/{/big/{/big/}/Big/}/bigg/}/Bigg/}/]
/begin{tabular}{|l|}
/hline/verb@/Bigg/|/bigg/|/Big/|/big/|/big/|/Big/|/bigg/|/Bigg/|@//
/hline
/end{tabular}
/[/Bigg/|/bigg/|/Big/|/big/|/big/|/Big/|/bigg/|/Bigg/|/]
/begin{tabular}{|l|}
/hline/verb|1 + ( /frac{1}{ 1-x^{2} } ) ^3|//
/hline
/end{tabular}
/[1 + ( /frac{1}{ 1-x^{2} } ) ^3/]
Use the /verb|/left| and /verb|/right| pairs to determine the
correct sizes of symbols.
//
/begin{tabular}{|l|}
/hline/verb|1 + /left( /frac{1}{ 1-x^{2} } /right) ^3|//
/hline
/end{tabular}
/[1 + /left( /frac{1}{ 1-x^{2} } /right) ^3/]
If there is nothing on the right side,use ``/verb|/right.|''.
//
/begin{tabular}{|l|}
/hline
/verb|y = /left/{| //
/verb| /begin{array}{ l l }|//
/verb| a & x /leq -5////|//
/verb| b+x & -5 < x < 7////|//
/verb| l & x /geq 7|//
/verb| /end{array}|//
/verb| /right.|//
/hline
/end{tabular}//
/[y = /left/{ /begin{array}{ll}
a & x /leq -5////
b+x & -5 < x < 7/////
l & x /geq 7
/end{array} /right./]//
See Section /ref{Array} on Page /pageref{Array} to learn Environment
/emph{Array}.
/subsection{Bold Fonts}
/begin{tabular}{c @{/quad} c}
/verb|$/mu, M$| & $/mu, M$////
/verb|$/mathbf{/mu},/mathbf{M}$| & $/mathbf{/mu},/mathbf{M}$////
/verb|/mbox{/boldmath $/mu, M$}| & /mbox{/boldmath $/mu, M$}
/end{tabular}////
/verb|/boldmath| must be used outside the math mode,or in the
/verb|/mbox{}| in the math mode.
/section{Math Fonts}
/begin{tabular}{l @{/quad} c }
/verb|/mathrm{ABCdef}| & $/mathrm{ABCdef}$////
/verb|/mathit{ABCdef}| & $/mathit{ABCdef}$////
/verb|/mathnormal{ABCdef}| & $/mathnormal{ABCdef}$////
/verb|/mathcal{ABC}| & $/mathcal{ABC}$////
/verb|/mathfrak{ABCdef}| & $/mathfrak{ABCdef}$////
/verb|/mathbb{ABC}| & $/mathbb{ABC}$////
/verb|/mathtt{ABCdef}| & $/mathtt{ABCdef}$////
/verb|/mathsf{ABCdef}| & $/mathsf{ABCdef}$////
/verb|/mathbf{ABCdef}| & $/mathbf{ABCdef}$
/end{tabular}
////
The command /verb|/mathfrak{ABCdef}|/ requires Package
/emph{eufrak}.
/section{Frequently Used Symbols}
/subsection{Dots}
Observe carefully,then you will see that /verb|/ldots| generates lower dots than /verb|/cdots|.//
/begin{tabular}{l @{/quad} c}
/verb|/ldots| & $/ldots$////
/verb|/cdot| & $/cdot$////
/verb|/cdots| & $/cdots$////
/verb|/vdots| & $/vdots$////
/verb|/ddots| & $/ddots$
/end{tabular}////
See a practical example in Section /ref{Array} on Page
/pageref{Array}.
/subsection{Superscript and Subscript}/label{Sup and Sub}
/begin{tabular}{l @{/quad} c}
/verb|a_1| & $a_1$////
/verb|x^2| & $x^2$////
/verb|a_{ij}| & $a_{ij}$////
/verb|x^{y^z}| & $x^{y^z}$////
/verb|e^{x^2} /neq {e^x}^2| & $e^{x^2} /neq {e^x}^2$////
/verb|{}^{12}_{/phantom{0}6}/mathrm{C}| &
${}^{12}_{/phantom{0}6}/mathrm{C}$
/end{tabular}
//
/^/ or /_/ might tinily changes its position and meaning,for
example,see Section /ref{+*} on Page /pageref{+*},they turn out to
be upper and lower limits.
/subsection{Square Root}
/begin{tabular}{l @{/quad} c}
/verb|/sqrt{a}| & $/sqrt{a}$////
/verb|/sqrt[n]{a}| & $/sqrt[n]{a}$////
/verb|/surd| & $/surd$////
/verb|/sqrt{ x^{2}+/sqrt{y} }| & $/sqrt{ x^{2}+/sqrt{y} }$
/end{tabular}
/subsection{Line and Brace}
/begin{tabular}{l @{/quad} c}
/verb|/overline{m+n}| & $/overline{m+n}$////
/verb|/underline{m+n}| & $/underline{m+n}$////
/verb|/underbrace{ a+b+/cdots+z }_{26}| & $/underbrace{ a+b+/cdots+z
}_{26}$////
/verb|/overbrace{ a+b+/cdots+z }^{26}| & $/overbrace{ a+b+/cdots+z }^{26}$////
/end{tabular}
/subsection{Vector}
/begin{tabular}{l @{/quad} c}
/verb|/vec a| & $/vec a$////
/verb|/overrightarrow{AB}| & $/overrightarrow{AB}$////
/verb|/overleftarrow{AB}| & $/overleftarrow{AB}$
/end{tabular}
/subsection{Fraction}
/begin{displaymath}
/begin{array}{l c}
/verb|1/2| & 1/2////
/verb|3/frac{1}{2}| & 3/frac{1}{2}////
/end{array}
/end{displaymath}//
/begin{tabular}{|l|}
/hline
/verb|y^{}_{/mathrm{A}}= /displaystyle/frac| //
/verb|{|//
/verb| p^*_{/mathrm{A}} x^{}_{/mathrm{A}}| //
/verb|}| //
/verb|{| //
/verb| p^*_{/mathrm{A}} x^{}_{/mathrm{A}}| //
/verb|+| //
/verb| p^*_{/mathrm{B}}(1-x^{}_{/mathrm{A}})| //
/verb|}| //
/hline
/end{tabular}//
/begin{displaymath}
y^{}_{/mathrm{A}}= /displaystyle/frac
{
p^*_{/mathrm{A}} x^{}_{/mathrm{A}}
}
{
p^*_{/mathrm{A}} x^{}_{/mathrm{A}}
+
p^*_{/mathrm{B}}(1-x^{}_{/mathrm{A}})
}
/end{displaymath}//
/begin{tabular}{|l| }
/cline{1-1}
/verb|N_{/mathrm{OG}}= /frac| //
/verb|{| //
/verb| y^{}_1 - y^{}_2| //
/verb|}| //
/verb|{| //
/verb| /displaystyle/frac| //
/verb| {| //
/verb| (y^{}_1 - y^*_1) - (y^{}_2 - y^*_2)| //
/verb| }| //
/verb| {| //
/verb| /ln/frac{y^{}_1 - y^*_1}{y^{}_2 - y^*_2}| //
/verb| }| //
/verb|}| //
/cline{1-1}
/end{tabular}
//
/begin{displaymath}
N_{/mathrm{OG}}= /frac
{
y^{}_1 - y^{}_2
}
{
/displaystyle/frac
{
(y^{}_1 - y^*_1) - (y^{}_2 - y^*_2)
}
{
/ln/frac{y^{}_1 - y^*_1}{y^{}_2 - y^*_2}
}
}
/end{displaymath}
/subsection{Binomial Coefficients And Customized Fraction}
Without Package /emph{amsmath},we can only use
/verb|{n /choose m}|/ or/ /verb|{x /atop y+2}| to generate the
binomial coefficients or similar structures:
/begin{displaymath}
{n /choose m} /qquad {x /atop y+2}
/end{displaymath}
With Package /emph{amsmath},we can use /verb|/binom{n}{m}|/ to
generate binomial coefficients:
/begin{displaymath}
/binom{n}{m}
/end{displaymath}
But the most powerful part is the command
/verb|/genfrac{}{}{}{}{}{}|,it has six
arguments://
Argument 5 and 6 are the numerator and the denominator.
Argument 1 and 2 are the left delimiter and the right delimiter.`.'/
means there are no delimiter.
Argument 3 is the thickness of the line between the numerator and
the denominator,set it to 0pt to make it invisible.
Argument 4 is the size of the numerator and the
denominator.displaystyle = 0, textstyle = 1, scriptstyle = 2,
scriptscriptstyle = 3.//
The Command /verb|/genfrac{(}{)}{0pt}{}{n}{m}|/ works exactly the
same as /verb|/binom{n}{m}|.
/begin{displaymath}
/genfrac{(}{)}{0pt}{}{n}{m}
/end{displaymath}
/subsection{Sum,Product And Calculus}/label{+*}
/verb|/sum_{i=1}^{n}|:
/[/sum_{i=1}^{n}/]
/verb|/int_{0}^{/frac{/pi}{2}}|:
/[/int_{0}^{/frac{/pi}{2}}/]
/verb|/prod_/epsilon|:
/[/prod_/epsilon/]
/verb|/iint_D|:
/[/iint_D/]
/verb|/iiint_V|:
/[/iiint_V/]
/verb|/idotsint_{/mathbb{R^{/mathrm n}}}|:
/[/idotsint_{/mathbb{R^{/mathrm n}}}/]
/section{Math Array}
/subsection{Array}/label{Array}
/begin{tabular}{|l|}
/hline
/verb|/mathbf{X} = /left( /begin{array}{ccc}|//
/verb|x_{11} & x_{12} & /ldots //|//
/verb|x_{21} & x_{22} & /ldots //|//
/verb|/vdots & /vdots & /ddots|//
/hline
/end{tabular}////
/begin{displaymath}
/mathbf{X} = /left( /begin{array}{ccc}
x_{11} & x_{12} & /ldots //
x_{21} & x_{22} & /ldots //
/vdots & /vdots & /ddots
/end{array} /right)
/end{displaymath}//
/begin{tabular}{|l|}
/hline
/verb@/left(/begin{array}{c|c}@//
/verb|1 & 2 //|//
/verb|/hline|//
/verb|3 & 4|//
/verb|/end{array}/right)|//
/hline
/end{tabular}//
/begin{displaymath}
/left(/begin{array}{c|c}
1 & 2 //
/hline 3 & 4
/end{array}/right)
/end{displaymath}
/subsection{Eqnarray}
Environment /emph{Eqnarray} must be used outside the math
mode,because it's an environment similar to Environment
/emph{Equation}.//
/begin{tabular}{|l|}
/hline
/verb|/begin{eqnarray}|//
/verb|f(x) & = & /cos x //|//
/verb|f'(x) & = & -/sin x //|//
/verb|/int_{0}^{x} f(y)/mathrm dy & = & /sin x|//
/verb|/end{eqnarray}|//
/hline
/end{tabular}//
/begin{eqnarray}
f(x) & = & /cos x //
f'(x) & = & -/sin x //
/int_{0}^{x} f(y)/mathrm dy & = & /sin x
/end{eqnarray}
Put the whole environment in /verb|{/setlength/arraycolsep{2pt} }|,
then the space around ``='' will be smaller://
{/setlength/arraycolsep{2pt}
/begin{eqnarray}
f(x) & = & /cos x //
f'(x) & = & -/sin x //
/int_{0}^{x} f(y)/mathrm dy & = & /sin x
/end{eqnarray}
}
Use Environment /emph{Eqnarray} to split a long equation://
/begin{tabular}{|l|}
/hline
/verb|/begin{eqnarray}|//
/verb|/lefteqn{ /cos x = 1 -/frac{x^{2}}{2!} +{} }|//
/verb|/nonumber//|//
/verb|& & {}+/frac{x^{4}}{4!} -/frac{x^{6}}{6!}+{}/cdots|//
/verb|/end{eqnarray}|//
/hline
/end{tabular}//
/begin{eqnarray}
/lefteqn{ /cos x = 1 -/frac{x^{2}}{2!} +{} }
/nonumber//
& & {}+/frac{x^{4}}{4!} -/frac{x^{6}}{6!}+{}/cdots
/end{eqnarray}
/subsection{Align}/label{Align}
With Package /emph{amsmath},we can use Environment /emph{Align}/ to
deal with equations.Use /& to tell /LaTeX/ how to align.Observe the
usage of Environment /emph{Subequations}.
/begin{tabular}{|l|}
/hline
/verb|/begin{subequations}|//
/verb|/begin{align}|//
/verb|x & /equiv 2 /pmod 3 //|//
/verb|x & /equiv 3 /pmod 5 //|//
/verb|/end{align}|//
/verb|/end{subequations}|//
/hline
/end{tabular}//
/begin{subequations}
/begin{align}
x & /equiv 2 /pmod 3 //
x & /equiv 3 /pmod 5 //
x & /equiv 2 /pmod 7
/end{align}
/end{subequations}
/section{Math Theorem}
To initialize a Theorem System,we should put the following
declaration in the preamble area(The area between
/verb|/documentclass| and /verb|/begin{document}| is called the
/emph{preamble}).//
/begin{tabular}{|l|}
/hline
/verb|/newtheorem{|/emph{name}/verb|}[|/emph{counter}/verb|]{|/emph{text}/verb|}[|/emph{section}/verb|]|//
/hline
/end{tabular}//
/emph{name}/ is the identifier of the theorem for /LaTeX,and
/emph{text}/ will be displayed as the name of the theorem.
/emph{counter}/ and /emph{section}/ shall not be given at the same
time./emph{counter}/ is the identifier of the counter for /LaTeX,it
shall be the name of another theorem.If we replace /emph{section}/
by ``section'',``chapter'' or ``subsection'',the theorem will be
enumerated by section,chapter or subsection.//
For example,declare like this in the preamble,//
/begin{tabular}{|l|}
/hline /verb|/newtheorem{Theorem}{定理}[section]|//
/hline
/end{tabular}//
and then,//
/begin{tabular}{|l|}
/hline
/verb|/begin{Theorem}|//
/verb|sth.|//
/verb|/end{Theorem}|//
/hline
/end{tabular}//
will generate://
/begin{Theorem}
sth.
/end{Theorem}
And declare like this in the preamble,//
/begin{tabular}{|l|}
/hline /verb|/newtheorem{FirstTheorem}{定理}|//
/hline /verb|/newtheorem{NextTheorem}[Theorem]{定理}|//
/hline
/end{tabular}//
and then,//
/begin{tabular}{|l|}
/hline
/verb|/begin{FirstTheorem}|//
/verb|Something.|//
/verb|/end{FirstTheorem}|//
/verb|/begin{NextTheorem}|//
/verb|Some other thing.|//
/verb|/end{NextTheorem}|//
/hline
/end{tabular}//
/begin{FirstTheorem}
Something.
/end{FirstTheorem}
/begin{NextTheorem}
Some other thing.
/end{NextTheorem}
/section{Symbol Lists}
/newcommand{/qqq}{/qquad&}
See its source to know how to type it.If a symbol is with a
superscript ``A'' on its left side,then it's only provided by
/emph{amsmath}.
/begin{displaymath}
/begin{aligned}
& 0 /qqq 1 /qqq 2 /qqq 3 /qqq 4 /qqq 5 /qqq 6 /qqq 7 /qqq 8//
& 1 /qqq /bar{a} /qqq /acute{a} /qqq /check{a} /qqq /grave{a} /qqq
/dot{a} /qqq /ddot{a} /qqq /hat{a} /qqq /widehat{A}//
& 2 /qqq /vec{a} /qqq /breve{a} /qqq /tilde{a} /qqq /widetilde{A}
/qqq //
& 3 /qqq /alpha /qqq /beta /qqq /gamma /qqq /delta /qqq
/epsilon /qqq /varepsilon /qqq /zeta /qqq /eta//
& 4 /qqq /theta /qqq /vartheta /qqq /iota /qqq /kappa /qqq
/lambda /qqq /mu /qqq /nu /qqq /xi //
& 5 /qqq o /qqq /pi /qqq /varpi /qqq /rho /qqq /varrho /qqq /sigma
/qqq /varsigma /qqq /tau//
& 6 /qqq /upsilon /qqq /phi /qqq /varphi /qqq /chi /qqq /psi /qqq
/omega //
& 7 /qqq /Gamma /qqq /Delta /qqq /Theta /qqq /Lambda /qqq /Xi /qqq
/Pi /qqq /Sigma /qqq /Upsilon //
& 8 /qqq /Phi /qqq /Psi
/end{aligned}
/end{displaymath}
/begin{displaymath}
/begin{aligned}
& 0 /qqq 1 /qqq 2 /qqq 3 /qqq 4 /qqq 5 /qqq 6 /qqq 7 /qqq 8//
& 1 /qqq < /qqq /le /qqq > /qqq /ge /qqq = /qqq /equiv /qqq /ll
/qqq /gg//
& 2 /qqq /prec /qqq /preceq /qqq /succ /qqq /succeq /qqq /sim /qqq
/simeq /qqq /approx /qqq /cong//
& 3 /qqq /subset /qqq /subseteq /qqq /supset /qqq /supseteq /qqq
{}^A/sqsubset /qqq /sqsubseteq /qqq {}^A/sqsupset /qqq /sqsupseteq//
& 4 /qqq /doteq /qqq /propto /qqq {}^A/Join /qqq /bowtie /qqq /vdash
/qqq /dashv /qqq /perp /qqq /models//
& 5 /qqq /mid /qqq /parallel /qqq /smile /qqq /frown /qqq /asymp
/qqq : /qqq /notin /qqq /neq//
& 6 /qqq + /qqq - /qqq /pm /qqq /mp /qqq /cdot /qqq /times /qqq /
/qqq /div /qqq //
& 7 /qqq /oplus /qqq /ominus /qqq /odot /qqq /otimes /qqq /oslash
/qqq /setminus /qqq /lor /qqq /land//
& 8 /qqq /cup /qqq /cap /qqq /sqcup /qqq /sqcap /qqq /bigtriangleup
/qqq /bigtriangledown /qqq /triangleleft /qqq /triangleright
/end{aligned}
/end{displaymath}
/begin{displaymath}
/begin{aligned}
& 0 /qqq 1 /qqq 2 /qqq 3 /qqq 4 /qqq 5 /qqq 6 /qqq 7 /qqq 8//
& 1 /qqq {}^A/lhd /qqq {}^A/rhd /qqq {}^A/unlhd /qqq {}^A/unrhd /qqq
/star /qqq /ast /qqq /circ /qqq /bigcirc//
& 2 /qqq /bullet /qqq /diamond /qqq /uplus /qqq /amalg /qqq /dagger
/qqq /ddagger /qqq /wr /qqq {}//
& 3 /qqq /sum /qqq /prod /qqq /coprod /qqq /bigsqcup /qqq /bigcup
/qqq /bigcap /qqq /int /qqq /oint//
& 4 /qqq /bigvee /qqq /bigwedge /qqq /bigoplus /qqq /bigotimes /qqq
/bigodot /qqq /biguplus//
& 5 /qqq /gets /qqq /to /qqq /longleftarrow /qqq /longrightarrow
/qqq /Leftarrow /qqq /Rightarrow /qqq /Longleftarrow /qqq
/Longrightarrow//
& 6 /qqq /uparrow /qqq /downarrow /qqq /Uparrow /qqq /Downarrow /qqq
/leftrightarrow /qqq /Leftrightarrow /qqq /longleftrightarrow /qqq
/Longleftrightarrow//
& 7 /qqq /updownarrow /qqq /Updownarrow /qqq /nearrow /qqq /searrow
/qqq /swarrow /qqq /nwarrow /qqq /leadsto /qqq /iff//
& 8 /qqq /mapsto /qqq /longmapsto /qqq /hookleftarrow /qqq
/hookrightarrow /qqq /leftharpoonup /qqq /rightharpoonup /qqq
/leftharpoondown /qqq /rightharpoondown//
& 9 /qqq /rightleftharpoons
/end{aligned}
/end{displaymath}
/begin{displaymath}
/begin{aligned}
& 0 /qqq 1 /qqq 2 /qqq 3 /qqq 4 /qqq 5 /qqq 6 /qqq 7 /qqq 8//
& 1 /qqq ( /qqq ) /qqq /lbrack /qqq /rbrack /qqq /lbrace /qqq
/rbrace /qqq /langle /qqq /rangle//
& 2 /qqq /lfloor /qqq /rfloor /qqq /lceil /qqq /rceil /qqq /vert
/qqq | /qqq /Vert /qqq /|//
& 3 /qqq /lgroup /qqq /rgroup /qqq /lmoustache /qqq /rmoustache /qqq
/arrowvert /qqq /Arrowvert /qqq /bracevert
/end{aligned}
/end{displaymath}
As you can see,I have some problems here that I can't deal with.So I
have decided to skip the rest of symbols.
/end{CJK}
/end{document}