LaTeX Form 9.0.tex

%LaTeX Form 9.0

%Documentclass

\documentclass[a4paper,10pt,openany]{book}

%Packages

\usepackage{latexsym,amssymb}
\usepackage[leqno]{amsmath}
%\usepackage{amsthm}
\usepackage{kotex}
\usepackage{fullpage}
\usepackage{graphicx}



%Title

\title{\Huge{\LaTeX$\:$Form}\\
	\LARGE{xth Edition $\cdot$ Version 9.0}}
\author{\LARGE{\textsf{Author : Someone}}\\
	\LARGE{\textsf{Form made by Dyne Simian}}}
\date{\textrm{Nov 16, 2022}}



%Index
\usepackage{imakeidx}
\makeindex[name=symb,title={List of Special Symbols and\\Abbreviations (특수 기호 및 약어 목록)%
	\addcontentsline{toc}{chapter}{List of Special Symbols (특수 기호 목록)}%
	\daggerfootnote{Sec. 1.1에서 설명된 표준적인 집합론적 기호들은 이곳에 나열되지 않았다.}},
columns=3,options= -s liststyle.ist]
\makeindex[intoc,title={Index (색인)}]
\makeindex[intoc,name=eng,title={English Index (영어 색인)}]
\newcommand{\dind}[2]{\index{#1 (#2)}\index[eng]{#2}}	%Double Index
\newcommand{\eind}[1]{\index{#1}\index[eng]{#1}}		%English Double Index
\newcommand{\iind}[4]{\index{#1 (#3)!#2 (#4)}\index[eng]{#3!#4}}



%Theorems

\newtheorem{theorem}{Theorem}[chapter]				%theorem
\newtheorem{axiom}[theorem]{Axiom}					%axiom
\newtheorem{definition}[theorem]{Definition}		%definition
\newtheorem{example}[theorem]{Example}				%example
\newtheorem{lemma}[theorem]{Lemma}					%lemma
\newtheorem{notation}[theorem]{Notation}			%notation
\newtheorem{Problem}[theorem]{Problem}				%problem
\newtheorem{proposition}[theorem]{Proposition}		%proposition
\newtheorem{remark}[theorem]{Remark}				%remark
\newtheorem{nex}[theorem]{}							%nothing
\newtheorem{problem}{}[chapter]						%exercise




%Formats

%%Watermark
\usepackage{draftwatermark}
\SetWatermarkText{Translated by Dyne}
\SetWatermarkScale{2}
\SetWatermarkLightness{.9}
\makeatletter
\def\watermarkoff{%
	\@sc@wm@stampfalse
}
\makeatother 
\makeatletter
\def\watermarkon{%
	\@sc@wm@stamptrue
}
\makeatother

%%Chapter Format
\usepackage[T1]{fontenc}
\usepackage{titlesec, blindtext, color}
\definecolor{gray75}{gray}{0.75}
\newcommand{\hsp}{\hspace{20pt}}
\titleformat{\chapter}[hang]{\LARGE\bfseries}%
{\thechapter\hsp\textcolor{gray75}{|}\hsp}{0pt}{\LARGE\bfseries}

%%Table of Contents
\usepackage{titletoc}%
\titlecontents{chapter}% <section-type>
[0pt]% <left>
{\bfseries}% <above-code>
{\\\thecontentslabel.\hspace{1em}}% <numbered-entry-format>
{}% <numberless-entry-format>
{\hfill\contentspage}% <filler-page-format>

%%Enumerate Format
\usepackage{enumitem}
\setlist[enumerate]{itemsep=-1mm,nosep,itemindent=-2.35mm}
\newcommand\setItemnumber[1]{\setcounter{enumi}{\numexpr#1-1\relax}}

%%Dual Letter
\makeatletter
\def\dual#1{\expandafter\dual@aux#1\@nil}
\def\dual@aux#1/#2\@nil{\begin{tabular}[b]{@{}c@{}}#1\\#2\end{tabular}}
\makeatother

%%Dagger Footnote
\newcounter{daggerfootnote}
\newcommand*{\daggerfootnote}[1]{%
	\setcounter{daggerfootnote}{\value{footnote}}%
	\renewcommand*{\thefootnote}{\fnsymbol{footnote}}%
	\footnote[2]{#1}%
	\setcounter{footnote}{\value{daggerfootnote}}%
	\renewcommand*{\thefootnote}{\arabic{footnote}}%
}

%%Bibliography Spacing
\let\oldbibliography\thebibliography
\renewcommand{\thebibliography}[1]{%
	\oldbibliography{#1}%
	\setlength{\itemsep}{0.6pt}}

%%Align Tag Mode
\makeatletter
\newcommand{\leqnomode}{\tagsleft@true\let\veqno\@@leqno}
\newcommand{\reqnomode}{\tagsleft@false\let\veqno\@@eqno}
\makeatother



%General

\newcommand{\st}{\;\mrm{s.t.}\;}					%such that
\newcommand{\for}{\;\mrm{for}\;}
\newcommand{\rel}{\mrm{rel}}						%relatively
\newcommand{\tf}{\therefore}
\newcommand{\floor}[1]{\lfloor #1\rfloor}


%Fonts

%%Math Fonts
\newcommand{\mb}[1]{\mathbb{#1}}					%blackboard font, math mode
\newcommand{\mbf}[1]{\mathbf{#1}}					%bold font, math mode
\newcommand{\mc}[1]{\mathcal{#1}}					%calligraphy font, math mode
\newcommand{\mf}[1]{\mathfrak{#1}}					%fraktur font, math mode
\newcommand{\mi}[1]{\mathit{#1}}					%italic font, math mode
\newcommand{\mrm}[1]{\mathrm{#1}}					%roman font, math mode
\usepackage{mathrsfs}								%provides mathscr
\newcommand{\ms}[1]{\mathscr{#1}}					%script font, math mode
\newcommand{\msf}[1]{\mathsf{#1}}					%sans-serif font, math mode	

%\DeclareFontFamily{OT1}{pzc}{}
%\DeclareFontShape{OT1}{pzc}{m}{it}{<-> s * [1.200] pzcmi7t}{}
%\DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it}	%mathpzc font
%\usepackage{bm}									%bm Package, defines \bm

\newcommand{\mtn}[1]{\text{\tn{#1}}}

%%Text Fonts
\newcommand{\tb}[1]{\textbf{#1}}					%bold font, text
\newcommand{\ti}[1]{\textit{#1}}					%italic font, text
\newcommand{\tn}[1]{\textnormal{#1}}				%normal font, text
\newcommand{\tsf}[1]{\textsf{#1}}					%sans-serif font, text

%%Letter Size
\newcommand{\ds}{\displaystyle}						%display style
\newcommand{\scs}{\scriptstyle}						%script style
\newcommand{\sss}{\scriptscriptstyle}				%script^2 style



%Math Symbol

%%Arrow

\newcommand{\ra}{\rightarrow}						%right arrow
\newcommand{\la}{\leftarrow}						%left arrow
\newcommand{\lra}{\leftrightarrow}					%leftright arrow
\newcommand{\Ra}{\Rightarrow}						%double right arrow
\newcommand{\La}{\Leftarrow}						%double left arrow
\newcommand{\Lra}{\Leftrightarrow}					%double leftright arrow
\newcommand{\longra}{\longrightarrow}				%long right arrow
\newcommand{\hra}{\hookrightarrow}					%hooked right arrow
\usepackage{mathtools}
\newcommand{\xhra}{\xhookrightarrow}

%%Fraction
\newcommand{\fra}[1]{\frac{1}{#1}}					%fraction whoes numerator is 1
\newcommand{\sfra}[1]{\scalebox{1}{$\fra{#1}$}}
\newcommand{\sfrac}[2]{\scalebox{1}{$\frac{#1}{#2}$}}
\newcommand{\fp}{\fra{2\pi}}						%1/2\pi
\newcommand{\fpn}{\left(\fp\right)^n}				%(1/2\pi)^n
\newcommand{\fpi}{\fra{2\pi i}}						%1/2\pi i
\newcommand{\fpin}{\left(\fpi\right)^n}				%(1/2\pi i)^n

%%Quad
\newcommand{\qrq}{\quad\ra\quad}
\newcommand{\qlq}{\quad\la\quad}
\newcommand{\qlrq}{\quad\lra\quad}
\newcommand{\qRq}{\quad\Ra\quad}
\newcommand{\qLq}{\quad\La\quad}
\newcommand{\qLrq}{\quad\Lra\quad}
\newcommand{\qcq}{\quad,\quad}
\newcommand{\qoq}{\quad\mrm{or}\quad}
\newcommand{\qnq}{\quad\mrm{and}\quad}
\newcommand{\qsq}{\quad\mrm{s.t.}\quad}
\newcommand{\qwq}{\quad\wedge\quad}
\newcommand{\qvq}{\quad\vee\quad}


%%Fundamental Sets
\newcommand{\es}{\emptyset}							%empty set
\newcommand{\N}{\mathbb N}							%natural number set
\newcommand{\Z}{\mathbb Z}							%integer set
\newcommand{\Zn}{\mathbb Z^n}						%product of integer sets
\newcommand{\Q}{\mathbb Q}							%rational number set
\newcommand{\Qn}{\mathbb Q^n}						%product of rational number sets
\newcommand{\R}{\mathbb R}							%real number set
\newcommand{\Rn}{\mathbb R^n}						%product of real number sets
\newcommand{\C}{\mathbb C}							%complex number set
\newcommand{\Cn}{\mathbb C^n}						%product of complex number sets
\newcommand{\Cno}{\mathring{\mathbb C}^n}			%C^n\circ
\newcommand{\K}{\mathbb K}							%typical field



%Set Theory

\newcommand{\card}[1]{\mrm{card}\left(#1\right)}	%cardinality
\newcommand{\bs}{\subset}							%subset
\newcommand{\ps}{\supset}							%superset
\newcommand{\bseq}{\subseteq}
\newcommand{\bsneq}{\subsetneq}
\newcommand{\pseq}{\supseteq}
\newcommand{\psneq}{\supsetneq}
\newcommand{\we}{\wedge}							%wedge
\newcommand{\mt}{\mapsto}							%mapsto
\newcommand{\ol}{\overline}							%overline
\newcommand{\m}{\setminus}							%setminus
\newcommand{\rest}{\!\upharpoonright\!}				%restriction
\newcommand{\op}{^{\mrm{op}}}						%opposite
\newcommand{\id}{\mrm{id}}							%identity function (lowercase)
\newcommand{\Id}{\mrm{Id}}							%identity function (uppercase)
\newcommand{\pr}{\mrm{pr}}							%Projection



%Category Theory

\newcommand{\Ob}{\mrm{Ob}}
\newcommand{\cC}{\msf{CAT}}							%category of categories
\newcommand{\cS}{\msf{Set}}							%category of sets
\newcommand{\cT}{\msf{Top}}							%category of topological spaces
\newcommand{\cM}{\msf{Mon}}							%category of monoids
\newcommand{\cG}{\msf{Grp}}							%category of groups
\newcommand{\cR}{\msf{Ring}}						%category of rings
\newcommand{\Sch}[1]{\mf{Sch}(#1)}					%Category of Schemes
\newcommand{\limra}{\varinjlim}						%Direct limit
\newcommand{\limla}{\varprojlim}					%Inverse limit


%Topology

\newcommand{\inte}[1]{\mrm{int}\left(#1\right)}		%interior
\newcommand{\cl}[1]{\mrm{cl}\left(#1\right)}		%closure
\newcommand{\ext}[1]{\mrm{ext}\left(#1\right)}		%exterior
\newcommand{\bdy}[1]{\mrm{bdy}\left(#1\right)}		%boundary
\newcommand{\der}[1]{\mrm{der}\left(#1\right)}		%derived set



%Geometry

\newcommand{\Sn}{\mb S^n}							%n-Sphere
\renewcommand{\P}{\mb P}							%Projective space
\newcommand{\Pn}{\mb P^n}							%n-Projective space
\newcommand{\T}{\mb T}
\newcommand{\Tn}{\mb T^n}							%n-Torus
\newcommand{\B}{\mb B}								%Ball
\newcommand{\Bn}{\mb B^n}							%n-Ball
\newcommand{\bB}{\bar{\mb B}}
\newcommand{\bBn}{\bar{\mb B}^n}
\newcommand{\Hn}{\mb H^n}
\newcommand{\An}{\mb A^n}							%Affine n-space


%Algebra

\newcommand{\mul}{\:|\:}							%divide
\newcommand{\tril}{\triangleleft}					%normal subgroup
\newcommand{\trilneq}{\mathrel{\ooalign{$\lneq$\cr\raise.22ex\hbox{$\lhd$}\cr}}}	%proper normal subgroup
\renewcommand{\mod}{\mrm{mod}\:}					%mod
\newcommand{\sgn}{\mrm{sgn}\:}						%sign
\newcommand{\rank}{\mrm{rank}\:}					%rank of free modules
\newcommand{\Mat}{\mrm{Mat}}						%matrices
\newcommand{\Char}{\mrm{char}\:}					%character
\newcommand{\norm}[2]{N_{#1}{}^{#2}}				%norm
\newcommand{\tr}[2]{T_{#1}{}^{#2}}					%trace
\newcommand{\trd}{\mrm{tr.d.}}						%transcendental dimension
\newcommand{\trdeg}[2]{\mrm{tr.deg}_{\msf{#1}}{\msf{#2}}}
\newcommand{\supp}{\mrm{supp}\:}					%support (lowercase)
\newcommand{\Supp}{\mrm{Supp}\:}					%support (uppercase)
\newcommand{\Tran}{\mrm{Tran}}
\newcommand{\Ad}{\mrm{Ad}\:}
\newcommand{\ad}{\mrm{ad}\:}
\newcommand{\Tan}[1]{\mrm{Tan}(#1)}					%Tangent Space
\renewcommand{\dim}[1][]{\mrm{dim}_{#1}\:}			%dimension
\newcommand{\codim}[1][]{\mrm{codim}_{#1}\:}		%codimension
\newcommand{\nil}{\mrm{nil}\:}						%nilradical

%%Morphisms
\newcommand{\Dom}{\mrm{Dom}\:}						%domain
\newcommand{\Ker}{\mrm{Ker}\:}						%kernel (Uppercase)
\newcommand{\Coker}{\mrm{Coker}\:}					%cokernel
\newcommand{\coker}{\mrm{coker}\:}
\newcommand{\im}{\mrm{im}}							%image(lowercase)
\newcommand{\Coim}{\mrm{Coim}\:}					%coimage
\newcommand{\Hom}{\mrm{Hom}}						%homomorphisms
\newcommand{\End}{\mrm{End}\:}						%endomorphisms
\newcommand{\Aut}{\mrm{Aut}\:}						%automorphisms
\newcommand{\Autx}[1]{\mrm{Aut}_{#1}}				%automorphism Group
\newcommand{\Int}{\mrm{Int}\:}						%Inner automorphism
\newcommand{\Der}[3]{\mrm{Der}_{\msf{#1}}(\msf{#2},\msf{#3})}	%Derivations

%%Diagram
\usepackage{stackrel}								%enhance stackrel command
\newcommand{\sr}[2]{\stackrel{#1}{#2}}				%stackrel
\usepackage{tikz-cd}								%commutative diagram
\newcommand{\arrow}{\arrow}							%arrow of tikzcd
\tikzset{
	symbol/.style={
		draw=none,
		every to/.append style={
			edge node={node [sloped, allow upside down, auto=false]{$#1$}}}
	}
}

%%Algebraic Geometry
\newcommand{\etale}{\text{Sp\'e}}
\newcommand{\Sing}{\mrm{Sing}\:}					%Set of Singular Points
\newcommand{\hO}[1]{\hat{\mc O}_{#1}}
\newcommand{\Ann}{\mrm{Ann}\:}
\newcommand{\Spec}{\mrm{Spec}\:}
\newcommand{\Proj}{\mrm{Proj}\:}

%%Lie/Algebraic Groups
\newcommand{\GL}{\mrm{GL}}
\newcommand{\gl}{\mf{gl}}
\newcommand{\SL}{\mrm{SL}}


%Analysis

\newcommand{\z}{\mf z}
\newcommand{\zo}{\mf z_0}
\newcommand{\rr}{\mrm r}
\newcommand{\sps}[2]{#1^{(#2)}}						%superscript with parenthesis
\newcommand{\ch}{\mrm{ch}}							%Cauchy integral
\renewcommand{\Re}{\mrm{Re}\:}						%real part
\renewcommand{\Im}{\mrm{Im}\:}						%imaginary part/image(uppercase)
\newcommand{\ind}{\mrm{Ind}}						%index of curve
\newcommand{\res}[2]{\mrm{Res}\:(#1;\:#2)}			%residue
\newcommand{\diam}[1]{\mrm{diam}\left(#1\right)}	%diameter
\newcommand{\vol}[1]{\mrm{vol}\:\left(#1\right)}	%volume
\newcommand{\Vol}{\mrm{Vol}}
\newcommand{\co}{\overline{co}}						%closed convex hull
\newcommand{\Lip}{\mrm{Lip}\:}						%Lipschitz
\newcommand{\rad}{\mrm{rad}\:}						%radical
\newcommand{\grad}{\mrm{grad}\:}					%gradient
\newcommand{\dist}{\mrm{dist}}						%distance
\newcommand{\orth}{\:\bot\:}

%%Absolutely Continuous
\usepackage{pifont}
\DeclareFontFamily{U}{matha}{\hyphenchar\font45}
\DeclareFontShape{U}{matha}{m}{n}{
	<-6> matha5 <6-7> matha6 <7-8> matha7
	<8-9> matha8 <9-10> matha9
	<10-12> matha10 <12-> matha12
}{}
\makeatletter
\newcommand\Pimathsymbol[3][\mathord]{%
	#1{\@Pimathsymbol{#2}{#3}}}
\def\@Pimathsymbol#1#2{\mathchoice
	{\@Pim@thsymbol{#1}{#2}\tf@size}
	{\@Pim@thsymbol{#1}{#2}\tf@size}
	{\@Pim@thsymbol{#1}{#2}\sf@size}
	{\@Pim@thsymbol{#1}{#2}\ssf@size}}
\def\@Pim@thsymbol#1#2#3{%
	\mbox{\fontsize{#3}{#3}\Pisymbol{#1}{#2}}}
\makeatother
\newcommand{\newll}{\Pimathsymbol[\mathrel]{matha}{"CE}}

%%Disc & Annulus
\newcommand{\D}[2]{D\left(#1;\:#2\right)}			%open disc
\newcommand{\Dp}[2]{D'\left(#1;\:#2\right)}			%punctured disc
\newcommand{\bD}[2]{\bar D\left(#1;\:#2\right)}		%closed disc
\newcommand{\bU}{\bar U}							%closed unit disc
\newcommand{\A}[2]{A\left(#1,#2\right)}				%annulus

%%Exponential
\newcommand{\eita}{e^{i\theta}}						%exponential i theta
\newcommand{\eiita}{e^{-i\theta}}					%exponential -i theta
\newcommand{\einta}{e^{in\theta}}					%exponential in theta
\newcommand{\eiinta}{e^{-in\theta}}					%exponential -in theta
\newcommand{\eitx}{e^{itx}}							%exponential itx
\newcommand{\eiitx}{e^{-itx}}						%exponential -itx
\newcommand{\eitz}{e^{itz}}							%exponential itz
\newcommand{\eiitz}{e^{-itz}}						%exponential -itz
\newcommand{\epi}[2]{e^{2\pi i #1\cdot #2}}
\newcommand{\empi}[2]{e^{-2\pi i #1\cdot #2}}

%%Braket
\usepackage{braket}									%braket package
\newcommand{\bk}[1]{\Braket{#1}}					%braket

%%Derivative
\newcommand{\dif}[2]{\frac{d#1}{d#2}}				%derivative
\newcommand{\dl}[3]{\left.\dif{#1}{#2}\right|_{#3}}
\newcommand{\pa}{\partial}							%Cauchy-Riemann derivative symbol
\newcommand{\bpa}{\bar\partial}						%complex conjugate derivative symbol
\newcommand{\pdif}[2]{\frac{\pa#1}{\pa#2}}			%partial derivative
\newcommand{\pdx}[2]{\pdif{#1}{x^{#2}}}
\newcommand{\pdl}[3]{\left.\pdif{#1}{#2}\right|_{#3}}
\newcommand{\pdxl}[3]{\left.\pdx{#1}{#2}\right|_{#3}}
\newcommand{\tri}{\triangle}						%Laplacian

%%Integral
\newcommand{\intm}[2]{\int_{#1}#2\:d\mu}			%Lebesgue integral respect to measure \mu
\newcommand{\intx}[4]{\int_{#1}^{#2}#3\:d#4}		%integral
\newcommand{\intr}{\int_{-\infty}^{\infty}}			%integration over (-\infty,\infty)=\R
\newcommand{\intrp}{\int_0^{\infty}}				%integration over (0,\infty)=\R^+
\newcommand{\intt}{\int_{-\pi}^{\pi}}				%integration over (-\pi,\pi)=T
\newcommand{\inttt}{\int_0^{2\pi}}					%integration over (0,2\pi)

%%Limit
\newcommand{\limn}{\lim_{n\ra\infty}}				%limit n goes to infinity
\newcommand{\limN}{\lim_{N\ra\infty}}				%limit N goes to infinity
\newcommand{\limm}{\lim_{m\ra\infty}}				%limit m goes to infinity
\newcommand{\limi}{\lim_{i\ra\infty}}				%limit i goes to infinity
\newcommand{\limj}{\lim_{j\ra\infty}}				%limit j goes to infinity
\newcommand{\limsupn}{\limsup_{n\ra\infty}}			%limit supremum n goes to infinity
\newcommand{\liminfn}{\liminf_{n\ra\infty}}			%limit infimum n goes to infinity
\newcommand{\limr}{\lim_{r\ra 1}}					%limit r goes to 1


%Matrix

\newcommand{\arrtwo}[4]{\left(\begin{array}{cc}#1 & #2\\#3 & #4\end{array}\right)}
\newcommand{\sqarrtwo}[4]{\left[\begin{array}{cc}#1 & #2\\#3 & #4\end{array}\right]}
\newcommand{\sqbinom}[2]{\left[\begin{array}{c}#1\\#2\end{array}\right]}



%Large Symbol

%%Sum
\newcommand{\sumn}{\sum_{n=1}^\infty}				%sum about n from 1 to infinity
\newcommand{\sumN}{\sum_{n=0}^\infty}				%sum about n from 0 to infinity
\newcommand{\sumi}{\sum_{i=1}^n}					%sum about i from 1 to n
\newcommand{\sumii}{\sum_{i=1}^\infty}				%sum about i from 1 to infinity
\newcommand{\sumx}[2]{\sum_{#1}^{#2}}				%sum about,from (#1) to (#2)
\newcommand{\sumxi}[1]{\sum_{#1}^\infty}			%sum about,from (#1) to infinity
\newcommand{\sumz}{\sum_{-\infty}^\infty}			%sum from -infinity to infinity
\newcommand{\sumnu}{\ds{\sum_{\nu=0}^{\infty}}}		%sum about multis-index nu from 0 to infinity
\newcommand{\sumiI}{\ds\sum_{i\in I}}

%%Pi Product
\newcommand{\prodn}{\prod_{n=1}^\infty}				%Pi product about n from 1 to infinity
\newcommand{\prodi}{\prod_{i=1}^n}					%Pi product about i from 1 to n
\newcommand{\prodii}{\prod_{i=1}^\infty}			%Pi product about i from 1 to infinity
\newcommand{\prodx}[2]{\prod_{#1}^{#2}}				%Pi product about,from (#1) to (#2)
\newcommand{\prodxi}[1]{\prod_{#1}^\infty}			%Pi product about,from (#1) to infinity
\newcommand{\prodiI}{\ds\prod_{i\in I}}

%%X Product
\DeclareFontFamily{U}{mathx}{\hyphenchar\font45}
\DeclareFontShape{U}{mathx}{m}{n}{
	<5> <6> <7> <8> <9> <10>
	<10.95> <12> <14.4> <17.28> <20.74> <24.88>
	mathx10
}{}
\DeclareSymbolFont{mathx}{U}{mathx}{m}{n}
\DeclareMathSymbol{\bigtimes}{1}{mathx}{"91}		%definition of big times symbol
\newcommand{\X}{\bigtimes}							%big times symbol
\newcommand{\Xn}{\bigtimes_{n=1}^\infty}			%X product about n from 1 to infinity
\newcommand{\Xpi}{\bigtimes_{i=1}^n}				%X product about i from 1 to n
\newcommand{\Xii}{\bigtimes_{i=1}^\infty}			%X product about i from 1 to infinity
\newcommand{\Xx}[2]{\bigtimes_{#1}^{#2}}			%X product about,from (#1) to (#2)
\newcommand{\Xxi}[1]{\bigtimes_{#1}^\infty}			%X product about,from (#1) to infinity

%%Union
\newcommand{\cupn}{\bigcup_{n=1}^\infty}			%union about n from 1 to infinity
\newcommand{\cupi}{\bigcup_{i=1}^n}					%union about i from 1 to n
\newcommand{\cupii}{\bigcup_{i=1}^\infty}			%union about i from 1 to infinity
\newcommand{\cupx}[2]{\bigcup_{#1}^{#2}}			%union about,from (#1) to (#2)
\newcommand{\cupxi}[1]{\bigcup_{#1}^\infty}			%union about,from (#1) to infinity

%%Intersection
\newcommand{\capn}{\bigcap_{n=1}^\infty}			%intersection about n from 1 to infinity
\newcommand{\capi}{\bigcap_{i=1}^n}					%intersection about i from 1 to n
\newcommand{\capii}{\bigcap_{i=1}^\infty}			%intersection about i from 1 to infinity
\newcommand{\capx}[2]{\bigcap_{#1}^{#2}}			%intersection about,from (#1) to (#2)
\newcommand{\capxi}[1]{\bigcap_{#1}^\infty}			%intersection about,from (#1) to infinity

\newcommand{\We}{\bigwedge}							%big wedge product
\newcommand{\Oplus}{\bigoplus}						%big direct sum
\newcommand{\Otimes}{\bigotimes}					%big tensor product



%Greek Letter

%%Uppercase
\newcommand{\Ga}{\Gamma}
\newcommand{\De}{\Delta}
\newcommand{\Ta}{\Theta}
\newcommand{\Lm}{\Lambda}
\newcommand{\Si}{\Sigma}
\newcommand{\Ph}{\Phi}
\newcommand{\Om}{\Omega}

%%Lowercase
\newcommand{\al}{\alpha}
\newcommand{\be}{\beta}
\newcommand{\ga}{\gamma}
\newcommand{\de}{\delta}
\newcommand{\ep}{\varepsilon}
\newcommand{\ze}{\zeta}
\newcommand{\ta}{\theta}
\newcommand{\vta}{\vartheta}
\newcommand{\io}{\iota}
\newcommand{\ka}{\kappa}
\newcommand{\lm}{\lambda}
\newcommand{\rh}{\varrho}
\newcommand{\si}{\sigma}
\newcommand{\ph}{\varphi}
\newcommand{\om}{\omega}



%Characteristic
\newcommand{\pf}{Pf) }
\newcommand{\sol}{Sol) }
\newcommand{\sx}[2]{\{#1:#2\}}							%set
\newcommand{\Sx}[2]{\left\{#1:#2\right\}}				%large set
%\renewcommand{\qed}{$$\therefore\mrm{Q. E. D}$$}		%quod erat demonstrandum.
\renewcommand{\rest}{|}



\begin{document}
	
	
	\watermarkoff\maketitle
	\thispagestyle{empty}
	
	\tableofcontents
	\newpage\watermarkon
	
	
	%Preface
	\chapter*{Preface}
	\addcontentsline{toc}{chapter}{Preface}
	
	
	
	%Chapter 1
	\chapter{LaTeX Form}
	
	
	
	%Section 1.1
	\section{LaTeX Form by Dyne Simian}
	
	
	
	%1.1
	\begin{nex}[New Texts]
		%
		\tn{\\(Text)}
		%
	\end{nex}
	
	
	%Theorem 1.2
	\begin{theorem}[New Theorem]
		%
		\tn{\\(Theorem)\\
			%
			\begin{enumerate}[label=(\alph*)]
				\item Item
				\setItemnumber{3}
				\item New Item
		\end{enumerate}}
		%
	\end{theorem}
	
	
	%Exercise 1
	\section*{Exercises}
	\addcontentsline{toc}{section}{Exercises}
	
	
	
	%Part Appendix
	\titleformat{\part}[display]
	{\Huge\bfseries\centering}
	{\thepart}{20pt}
	{\thispagestyle{empty}}
	
	\renewcommand{\thepart}{}
	\part{Appendix}
	
	
	
	
	\titleformat{\chapter}[hang]{\Huge\bfseries}{\dual{\Large{APPENDIX}/\thechapter}
		\hsp\textcolor{gray75}{|}\hsp}{0pt}{\Huge\bfseries}
	
	
	%Chapter Appendix A
	\renewcommand{\thechapter}{A}
	
	\chapter{New Appendix}
	
	
	
	%Bibliography
	\renewcommand\bibname{Bibliography (참고문헌)}
	\begin{thebibliography}{12}
		%
		\addcontentsline{toc}{chapter}{Bibliography (참고문헌)}
		%
		\bibitem{1} L. V. Ahlfors: ``Complex Analysis,'' 3d ed., McGraw-Hill Book Company, New York, 1978.
		%
	\end{thebibliography}
	
	
	
	%Symbol Index
	\printindex[symb]
	
	
	
	%Index
	\printindex
	
	
	
	%English Index
	\printindex[eng]
	
	
	
\end{document}