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authorKarl Berry <karl@freefriends.org>2005-12-29 00:17:27 +0000
committerKarl Berry <karl@freefriends.org>2005-12-29 00:17:27 +0000
commit85100c13626ce54733a6c6990df75e4ce03de4e8 (patch)
treed34838d81633155a16c7da3deb17ed4b0fd75417 /Master/texmf-doc
parentf968602334f05855ab341527e14d618d8178614b (diff)
initial doc/vietnamese
git-svn-id: svn://tug.org/texlive/trunk@12 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-doc')
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/Makefile32
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/README22
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/TODO4
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.pdfbin0 -> 708985 bytes
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.tex2
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.pdfbin0 -> 638255 bytes
-rw-r--r--Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.tex3330
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/README32
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-print-vi.pdf25497
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-vi.pdfbin0 -> 2052960 bytes
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/custom.tex737
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/fancyhea.sty129
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/lshort-vi.tex111
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/overview.tex103
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/spec.tex890
-rw-r--r--Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/typeset.tex1131
16 files changed, 32020 insertions, 0 deletions
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/Makefile b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/Makefile
new file mode 100644
index 00000000000..c7fd09cef0a
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/Makefile
@@ -0,0 +1,32 @@
+SCREEN = amsldoc-vi
+PRINT = amsldoc-print-vi
+
+amsldoc: screen print
+
+screen:
+ pdflatex $(SCREEN)
+ pdflatex $(SCREEN)
+ pdflatex $(SCREEN)
+ thumbpdf $(SCREEN).pdf
+ pdflatex $(SCREEN)
+
+print:
+ pdflatex $(PRINT)
+ pdflatex $(PRINT)
+ pdflatex $(PRINT)
+
+quick:
+ pdflatex $(SCREEN)
+
+tar:
+ mkdir -p amsldoc-vi/src
+ cp -pv {$(SCREEN),$(PRINT)}.pdf README.txt TODO amsldoc-vi
+ cp -pv *.tex Makefile amsldoc-vi/src
+ tar -cjf amsldoc-vi.tar.bz2 amsldoc-vi
+
+clean:
+ rm -fv *.log *.idx *.aux *.dvi *.bbl *.blg *.toc *.idx *.tps \
+ *.ps *.ilg *.tcp *~ *.ind *.out *.tpt
+
+cleanall: clean
+ rm -fv *.pdf *~ amsldoc-vi.tar.bz2
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/README b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/README
new file mode 100644
index 00000000000..92bc30391b2
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/README
@@ -0,0 +1,22 @@
+
+AMSLaTeX Manual v2.0, Vietnamese edition.
+
+
+Original Author: American Mathematical Society
+
+
+Translator: Ky Anh <kyanh@o2.pl>
+
+
+License of the translation: LPPL, version 1.3 or newer,
+according to http://www.latex-project.org/lppl.txt
+
+
+Files:
+ README.txt (this file)
+ TODO
+ amsldoc-vi.pdf
+ amsldoc-print-vi.pdf
+ src/Makefile
+ src/amsldoc-print-vi.tex
+ src/amsldoc-vi.tex
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/TODO b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/TODO
new file mode 100644
index 00000000000..eeef773d40d
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/TODO
@@ -0,0 +1,4 @@
+* Vietnamese version of 'testmath.tex'
+* Vietnamese version of 'subeqn.tex'
+* amsldoc: Translate 'Error Message' section into Vietnamese
+* amsldoc: make index page
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.pdf b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.pdf
new file mode 100644
index 00000000000..6b333cc6d03
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.pdf
Binary files differ
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.tex b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.tex
new file mode 100644
index 00000000000..bacc754d827
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-print-vi.tex
@@ -0,0 +1,2 @@
+\def\printversion{true}
+\input amsldoc-vi.tex
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.pdf b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.pdf
new file mode 100644
index 00000000000..e34316c6b2d
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.pdf
Binary files differ
diff --git a/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.tex b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.tex
new file mode 100644
index 00000000000..f370b88abd0
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/amsldoc-vn/amsldoc-vi.tex
@@ -0,0 +1,3330 @@
+\ifx\printversion\undefined
+\documentclass[11pt,leqno,titlepage,openany,oneside]{amsldoc}[1999/12/13]
+\else
+\documentclass[a4paper,11pt,leqno,titlepage,openany]{amsldoc}[1999/12/13]
+\usepackage[monochrome]{color}
+\advance \topmargin by -3\baselineskip
+\advance \textheight by 5\baselineskip
+\usepackage{lmodern}
+\fi
+
+% \ifx\UndEfiNed\url
+% \ClassError{amsldoc}{%
+% This version of amsldoc.tex must be processed\MessageBreak
+% with a newer version of amsldoc.cls (2.02 or later)}{}
+% \fi
+
+% ----------------------------------------------------------------------
+\pdfminorversion=3
+\usepackage[utf8]{vietnam}
+\usepackage{amsxtra}
+\usepackage{shortvrb}
+\usepackage{afterpage}
+\usepackage{amsfonts,euscript}
+
+\MakeShortVerb{|}
+
+% hack \url
+% cannot use package hyperref. Donknow why?
+% \makeatletter
+% \let\old@url=\url
+% \def\url#1{\textcolor{blue}{\old@url{#1}}}
+% \makeatother
+
+% ----------------------------------------------------------------------
+
+\DeclareMathOperator{\tg}{tg}
+
+
+% ----------------------------------------------------------------------
+
+
+\newcommand{\entrylabel}[1]{\mbox{\textsf{#1:}}\hfil}
+\newenvironment{entry}%
+ {\begin{list}{}%
+ {\renewcommand{\makelabel}{\entrylabel}%
+ \setlength{\labelwidth}{100pt}%
+ \setlength{\leftmargin}{\labelwidth}
+ \addtolength{\leftmargin}{\labelsep}%
+ }%
+ }%
+ {\end{list}}
+
+\newlength{\mylen}
+\newcommand{\lentrylabel}[1]{%
+ \settowidth{\mylen}{\textsf{#1:}}%
+ \ifthenelse{\lengthtest{\mylen >\labelwidth}}%
+ {\parbox[b]{\labelwidth}%
+ {\makebox[0pt][l]{\textsf{#1\space:}}\\}}%
+ {\hfil\textsf{#1\space:}}%
+ \relax}
+\newenvironment{lentry}%
+ {\renewcommand{\entrylabel}{\lentrylabel}%
+ \begin{entry}}%
+ {\end{entry}}
+
+% ----------------------------------------------------------------------
+% :: hack heading
+
+
+\makeatletter
+\def\ps@empty{\let\@mkboth\@gobbletwo
+ \let\@oddhead\@empty \let\@evenhead\@empty
+ \let\@oddfoot\@empty
+ \let\@evenfoot\@empty
+ \global\topskip\normaltopskip}
+\def\ps@plain{\ps@empty
+ \def\@oddfoot{\normalfont\scriptsize \hfil\thepage\hfil}%
+ \let\@evenfoot\@oddfoot}
+%\newswitch{runhead}
+\def\ps@headings{\ps@empty
+%% \def\@oddfoot{\hfil Vn\TeX\ (\url{http://vntex.org})\hfil}
+ \def\@oddfoot{}
+%% \def\@evenhead{%
+%% \normalfont\small%\scriptsize
+%% %%% \hfil
+%% \thesection.
+%% \leftmark{}{}\hfil \llap{\thepage}}%
+ \def\@evenhead{%
+ \normalfont\small\thepage\hfil
+ \leftmark{}{}}%
+ \def\@oddhead{%
+ \normalfont\small
+ \rightmark{}{}\hfil \llap{\thepage}}%
+%%% \let\@evenhead\@oddhead
+ \let\@mkboth\markboth
+ \def\partmark{\@secmark\markboth\partrunhead\partname}%
+ \def\chaptermark{%
+ \@secmark\markboth\chapterrunhead{}}%
+ \def\sectionmark{%
+ \@secmark\markright\sectionrunhead\sectionname}%
+}
+\let\sectionname\@empty
+\let\subsectionname\@empty
+\let\subsubsectionname\@empty
+\let\paragraphname\@empty
+\let\subparagraphname\@empty
+\def\leftmark{\expandafter\@firstoftwo\topmark{}{}}
+\def\rightmark{\expandafter\@secondoftwo\botmark{}{}}
+\long\def\@nilgobble#1\@nil{}
+\def\@secmark#1#2#3#4{%
+ \begingroup \let\protect\@unexpandable@protect
+ \edef\@tempa{\endgroup \toks@{\protect#2{#3}{\@secnumber}}}%
+ \@tempa
+ \toks@\@xp{\the\toks@{#4}}%
+ \afterassignment\@nilgobble\@temptokena\@themark{}\@nil
+ \edef\@tempa{\@nx\@mkboth{%
+ \ifx\markright#1\the\@temptokena\else\the\toks@\fi}{\the\toks@}}%
+ \@tempa}
+\let\@secnumber\@empty
+\def\markboth#1#2{%
+ \begingroup
+ \@temptokena{{#1}{#2}}\xdef\@themark{\the\@temptokena}%
+ \mark{\the\@temptokena}%
+ \endgroup
+ \if@nobreak\ifvmode\nobreak\fi\fi}
+\newskip\normaltopskip
+\normaltopskip=10pt \relax
+\let\sectionmark\@gobble
+\let\subsectionmark\@gobble
+\let\subsubsectionmark\@gobble
+\let\paragraphmark\@gobble
+
+\def\partrunhead#1#2#3{%
+ \@ifnotempty{#2}{\textsc{\ignorespaces#1 #2\unskip}\@ifnotempty{#3}{. }}%
+ \def\@tempa{#3}%
+ \ifx\@empty\@tempa\else
+ \begingroup \def\\{ \ignorespaces}% defend against questionable usage
+% \MakeUppercase{\@tempa}
+ \textsc{\@tempa}
+ \endgroup
+ \fi
+}
+\let\chapterrunhead\partrunhead
+\let\sectionrunhead\partrunhead
+
+\renewenvironment{thebibliography}[1]
+ {\chapter*{\bibname}%
+ \@mkboth{\textsc{\bibname}}{\textsc{\bibname}}%
+ \list{\@biblabel{\@arabic\c@enumiv}}%
+ {\settowidth\labelwidth{\@biblabel{#1}}%
+ \leftmargin\labelwidth
+ \advance\leftmargin\labelsep
+ \@openbib@code
+ \usecounter{enumiv}%
+ \let\p@enumiv\@empty
+ \renewcommand\theenumiv{\@arabic\c@enumiv}}%
+ \sloppy
+ \clubpenalty4000
+ \@clubpenalty \clubpenalty
+ \widowpenalty4000%
+ \sfcode`\.\@m}
+ {\def\@noitemerr
+ {\@latex@warning{Empty `thebibliography' environment}}%
+ \endlist}
+
+\makeatother
+% ----------------------------------------------------------------------
+
+% :: title
+%\title{User's Guide for the \pkg{amsmath} Package (Version~2.0)}
+\title{Hướng dẫn sử dụng gói \pkg{amsmath} (phiên bản 2.0)}
+%\author{American Mathematical Society}
+
+\author{Tác giả: Hội Toán học Mỹ (AMS)\\[6pt]
+ 13/12/1999 (sửa đổi 25/02/2002)\\[1cm]
+ Biên dịch: Ky Anh
+ $\langle$\href{mailto:kyanh@o2.pl}{kyanh@o2.pl}$\rangle$\\[6pt]
+ Bản dịch mới nhất 15/10/2005\\[5cm]
+ \url{http://VietTUG.org}}
+
+\date{}
+
+%%\medskip \emph{Bản dịch số {$\mathbf{\the\buildnum}$}}}
+
+% Use the amsmath package and amscd package in order to print
+% examples.
+\usepackage{amsmath}
+\usepackage{amscd}
+
+\makeindex % generate index data
+\providecommand{\see}[2]{\textit{see} #1}
+
+% The amsldoc class includes a number of features useful for
+% documentation about TeX, including:
+%
+% ---Commands \tex/, \amstex/, \latex/, ... for uniform treatment
+% of the various logos and easy handling of following spaces.
+%
+% ---Commands for printing various common elements: \cn for command
+% names, \fn for file names (including font-file names), \env for
+% environments, \pkg and \cls for packages and classes, etc.
+
+% Many of the command names used here are rather long and will
+% contribute to poor linebreaking if we follow the \latex/ practice
+% of not hyphenating anything set in tt font; instead we selectively
+% allow some hyphenation.
+%\allowtthyphens % defined in amsldoc.cls
+
+\hyphenation{ac-cent-ed-sym-bol add-to-counter add-to-length align-at
+ aligned-at allow-dis-play-breaks ams-art ams-cd ams-la-tex amsl-doc
+ ams-symb ams-tex ams-text ams-xtra bmatrix bold-sym-bol cen-ter-tags
+ eqn-ar-ray idots-int int-lim-its latex med-space neg-med-space
+ neg-thick-space neg-thin-space no-int-lim-its no-name-lim-its
+ over-left-arrow over-left-right-arrow over-right-arrow pmatrix
+ qed-sym-bol set-length side-set small-er tbinom the-equa-tion
+ thick-space thin-space un-der-left-arrow un-der-left-right-arrow
+ un-der-right-arrow use-pack-age var-inj-lim var-proj-lim vmatrix
+ xalign-at xx-align-at}
+
+% Prepare for illustrating the \vec example
+\newcommand{\vect}[1]{\mathbf{#1}}
+
+\newcommand{\booktitle}[1]{\textit{#1}}
+\newcommand{\journalname}[1]{\textit{#1}}
+\newcommand{\seriesname}[1]{\textit{#1}}
+
+% Command to insert and index a particular phrase. Doesn't work for
+% certain kinds of special characters in the argument.
+\newcommand{\ii}[1]{#1\index{#1}}
+
+\newcommand{\vstrut}[1]{\vrule width0pt height#1\relax}
+
+% An environment for presenting comprehensive address information:
+\newenvironment{infoaddress}{%
+ \par\topsep\medskipamount
+ \trivlist\centering
+ \item[]%
+ \begin{minipage}{.7\columnwidth}%
+ \raggedright
+}{%
+ \end{minipage}%
+ \endtrivlist
+}
+
+\newenvironment{eqxample}{%
+ \par\addvspace\medskipamount
+ \noindent\begin{minipage}{.5\columnwidth}%
+ \def\producing{\end{minipage}\begin{minipage}{.5\columnwidth}%
+ \hbox\bgroup\kern-.2pt\vrule width.2pt%
+ \vbox\bgroup\parindent0pt\relax
+% The 3pt is to cancel the -\lineskip from \displ@y
+ \abovedisplayskip3pt \abovedisplayshortskip\abovedisplayskip
+ \belowdisplayskip0pt \belowdisplayshortskip\belowdisplayskip
+ \noindent}
+}{%
+ \par
+% Ensure that a lonely \[\] structure doesn't take up width less than
+% \hsize.
+ \hrule height0pt width\hsize
+ \egroup\vrule width.2pt\kern-.2pt\egroup
+ \end{minipage}%
+ \par\addvspace\medskipamount
+}
+
+% The chapters are so short, perhaps we shouldn't call them by the
+% name `Chapter'. We make \chaptername read an argument in order to
+% remove a following \space or "{} " (both possibilities are present
+% in book.cls).
+
+\renewcommand{\chaptername}[1]{}
+\newcommand{\chapnum}[1]{\mdash #1\mdash }
+\makeatletter
+\def\@makechapterhead#1{%
+ \vspace{1.5\baselineskip}%
+ {\parindent \z@ \raggedright \reset@font
+ \ifnum \c@secnumdepth >\m@ne
+ \large\bfseries \chapnum{\thechapter}%
+ \par\nobreak
+ \vskip.5\baselineskip\relax
+ \fi
+ #1\par\nobreak
+ \vskip\baselineskip
+ }}
+\makeatother
+
+% A command for ragged-right parbox in a tabular.
+\newcommand{\rp}{\let\PBS\\\raggedright\let\\\PBS}
+
+% Non-indexed file name
+\newcommand{\nfn}[1]{\texttt{#1}}
+
+% For the examples in the math spacing table.
+%%\newcommand{\lspx}{\mbox{\rule{5pt}{.6pt}\rule{.6pt}{6pt}}}
+%%\newcommand{\rspx}{\mbox{\rule[-1pt]{.6pt}{7pt}%
+%% \rule[-1pt]{5pt}{.6pt}}}
+\newcommand{\lspx}{\mathord{\Rightarrow\mkern-1mu}}
+\newcommand{\rspx}{\mathord{\mkern-1mu\Leftarrow}}
+\newcommand{\spx}[1]{$\lspx #1\rspx$}
+
+% For a list of characters representing document input.
+\newcommand{\clist}[1]{%
+ \mbox{\ntt\spaceskip.2em plus.1em \xspaceskip\spaceskip#1}}
+
+% Fix weird \latex/ definition of rightmark.
+\makeatletter
+\def\rightmark{\expandafter\@rightmark\botmark{}{}}
+% Also turn off section marks.
+\let\sectionmark\@gobble
+\renewcommand{\chaptermark}[1]{%
+%% \MakeUppercase{\markboth{\rhcn#1}{\rhcn#1}}}
+ \uppercase{\markboth{\rhcn#1}{\rhcn#1}}}
+\newcommand{\rhcn}{\thechapter. }
+\makeatother
+
+% Include down to \section but not \subsection, in toc:
+\setcounter{tocdepth}{1}
+
+\DeclareMathOperator{\ix}{ix}
+\DeclareMathOperator{\nul}{nul}
+\DeclareMathOperator{\End}{End}
+\DeclareMathOperator{\xxx}{xxx}
+
+\usepackage[colorlinks,draft=false,
+pdftitle={AMSLaTeX Manual, v2.0, Vietnamese edition},
+pdfauthor={American Mathematical Society, Translator: Ky Anh <kyanh@o2.pl>},
+pdfsubject={Advanced Math Typesetting},
+pdfkeywords={math, typesetting, formulas}]{hyperref} \input pd1supp.def
+\ifx\printversion\undefined
+\RequirePackage{thumbpdf}
+\hypersetup{pdfpagemode=UseThumbs}
+\fi
+\hypersetup{plainpages=false}
+\hypersetup{pdfpagelabels=false}
+%\hypersetup{hypertexnames=true}
+\hypersetup{naturalnames=true}
+
+%\pagenumbering{roman}
+\pagestyle{headings}
+\begin{document}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\pagestyle{empty}
+\maketitle
+%% \rightline{\emph{The only way to learn mathematics is to do mathematics.}}
+%% \medskip
+%% \rightline{{\rm P. R. HALMOS}}
+\ifx\printversion\undefined
+\newpage
+\else
+\cleardoublepage
+\fi
+\tableofcontents
+\cleardoublepage % for better page number placement
+\pagestyle{headings}
+%\pagenumbering{arabic}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\chapter{Thuật ngữ}
+
+Dưới đây là một số thuật ngữ dùng trong tài liệu này.
+
+\medskip
+\begin{lentry}
+\item[dimension] độ dài trong \latex/, ví dụ: |6pt|, |-2pc|, |5mm|,...
+\item[font]kiểu chữ
+\item[hyphen]tách một chữ (ở cuối dòng) với nhiều ký tự thành các phần nhỏ
+ ngăn cách bởi dấu gạch ngang (dấu |hyphen|).
+ Việc tách này giúp cho một chữ quá dài không tràn ra khỏi dòng.
+\item[number] \emph{bla bla bla\ldots}
+\item[preamble] phần nằm trước |\begin{document}| của tập tin nguồn \latex/.
+\item[tag] chỉ số phương trình
+\item[robust]\emph{bla bla bla\ldots}
+\item[text] chuỗi các mã nguồn \latex/, ví dụ: "|xem Tiên đề~\ref{ax:1}|"
+\item[typeset] sắp chữ nhờ \latex/
+% biên dịch tài liệu \latex/ nhờ chương trình |latex|, |pdflatex|,...
+\item[wrap] tự động chia một dòng quá dài thành nhiều dòng nhỏ, để chúng
+ bố trí vừa trên một chiều rộng cố định cho trước
+\item[canh cột]bố trí các phần của phương trình theo cột (chiều đứng)
+\item[dấu ngoặc](phân cách); thuật ngữ tiếng Anh là |delimiter|; là các dấu
+ (,),[,],\{,\},$\vert$,...
+\item[chỉ số phương trình]nhãn dùng để phân biệt các phương trình
+\item[phương trình] biểu thức toán học bất kỳ được biểu diễn nhờ \latex/
+\item[v-khoảng cách] khoảng cách theo chiều đứng
+\end{lentry}
+
+\chapter{Giới thiệu}
+
+% The \pkg{amsmath} package is a \LaTeX{} package that provides
+% miscellaneous enhancements for improving the information structure and
+% printed output of documents that contain mathematical formulas. Readers
+% unfamiliar with \LaTeX{} should refer to \cite{lamport}. If you have an
+% up-to-date version of \LaTeX{}, the \pkg{amsmath} package is normally
+% provided along with it. Upgrading when a newer version of the
+% \pkg{amsmath} package is released can be done via
+% \url{http://www.ams.org/tex/amsmath.html} or
+% \url{ftp://ftp.ams.org/pub/tex/}.
+Gói \pkg{amsmath} dành cho \LaTeX{} cung cấp nhiều tiện ích để |typeset|
+các tài liệu Toán học phức tạp. Gói này có trong hầu hết các bản phân phối
+mới của \LaTeX{}. Để lấy các thông tin cập nhật về gói này, bạn xem ở
+
+\medskip
+\rightline{\url{http://www.ams.org/tex/amsmath.html}}
+\rightline{\url{ftp://ftp.ams.org/pub/tex/}}
+\medskip
+
+% This documentation describes the features of the \pkg{amsmath} package
+% and discusses how they are intended to be used. It also covers some
+% ancillary packages:
+Tài liệu này mô tả các tính năng và của gói \pkg{amsmath} và thảo luận
+về các hướng sử dụng chúng. Tài liệu cũng đề cập sơ lược về các gói
+\begin{ctab}{ll}
+\pkg{amsbsy}& \pkg{amstext}\\
+\pkg{amscd}& \pkg{amsxtra}\\
+\pkg{amsopn}
+\end{ctab}
+% These all have something to do with the contents of math formulas. For
+% information on extra math symbols and math fonts, see \cite{amsfonts}
+% and \url{http://www.ams.org/tex/amsfonts.html}. For documentation of the
+% \pkg{amsthm} package or AMS document classes (\cls{amsart},
+% \cls{amsbook}, etc.\@) see \cite{amsthdoc} or \cite{instr-l} and
+% \url{http://www.ams.org/tex/author-info.html}.
+Các gói này đều liên quan đến việc |typseset| biểu thức toán học.
+Thông tin về các ký hiệu và |font| mở rộng, xem ở \cite{amsfonts} và
+
+\medskip
+\rightline{\url{http://www.ams.org/tex/amsfonts.html}}
+\medskip
+\noindent
+Tài liệu về gói \pkg{amsthm}, các lớp\footnote{|documentclass|} AMS (\cls{amsart},
+\cls{amsbook}, etc.\@) có thể tìm thấy trong \cite{amsthdoc}, \cite{instr-l}
+và
+
+\medskip
+\rightline{\url{http://www.ams.org/tex/author-info.html}}
+
+% If you are a long-time \latex/ user and have lots of mathematics in what
+% you write, then you may recognize solutions for some familiar problems
+% in this list of \pkg{amsmath} features:
+\bigskip
+Nếu bạn đã làm việc lâu dài với \latex/ và phải |typeset| rất nhiều các biểu thức
+toán học, thì với gói \pkg{amsmath}, bạn có thể tìm thấy giải pháp
+cho những vấn đề hay gặp nhất:
+
+\medskip
+\begin{itemize}
+\item
+% A convenient way to define new `operator name' commands analogous
+% to \cn{sin} and \cn{lim}, including proper side spacing and automatic
+% selection of the correct font style and size (even when used in
+% sub- or superscripts).
+Dễ dàng định nghĩa toán tử, hàm toán học mới (tương tự như \cn{sin}, \cn{cos});
+các toán tử mới sẽ tự động canh chỉnh kích thước, kiểu |font|
+và khoảng cách tương quan với các phần tử khác trong biểu thức.
+
+\item
+% Multiple substitutes for the \env{eqnarray} environment to make
+% various kinds of equation arrangements easier to write.
+Nhiều biến thể của môi trường \env{eqnarray}
+để sắp xếp nhiều loại (hệ) phương trình khác nhau.
+
+\item
+% Equation numbers automatically adjust up or down to avoid
+% overprinting on the equation contents (unlike \env{eqnarray}).
+Các số chỉ phương trình tự động chuyển dịch lên, xuống để tránh
+tình trạng tràn trang (khắc phục nhược điểm của \env{eqnarray}).
+
+\item
+% Spacing around equals signs matches the normal spacing in the
+% \env{equation} environment (unlike \env{eqnarray}).
+Khoảng cách xung quanh dấu bằng ($=$) giống hệt khoảng cách bình thường
+trong môi trường \env{equation} (không giống như \env{eqnarray}).
+
+\item
+% A way to produce multiline subscripts as are often used with
+% summation or product symbols.
+Có thể tạo chỉ số dưới, chỉ số trên với nhiều dòng (thường gặp khi
+làm việc với các ký hiệu tổng, tích)
+
+\item
+% An easy way to substitute a variant equation number for a given
+% equation instead of the automatically supplied number.
+Dễ dàng tạo các biến thể cho việc đánh số một phương trình cho trước
+(nếu bạn không thích kiểu đánh số mặc định).
+
+\item
+% An easy way to produce subordinate equation numbers of the form
+% (1.3a) (1.3b) (1.3c) for selected groups of equations.
+Dễ dàng đánh số các phương trình con dạng (1.3a) (1.3b) (1.3c)
+từ một nhóm các phương trình. Việc đánh số này là \emph{tự động.}
+\end{itemize}
+
+% The \pkg{amsmath} package is distributed together with some small
+% auxiliary packages:
+\medskip
+Gói \pkg{amsmath} được phân phối cùng với một số gói bổ trợ
+
+\begin{description}
+\item[\pkg{amsmath}]
+% Primary package, provides various features for
+% displayed equations and other mathematical constructs.
+ Gói chính; cung cấp rất nhiều tiện ích để biễu diễn phương trình
+ và các biểu thức toán học từ đơn giản đến phức tạp.
+
+\item[\pkg{amstext}]
+% Provides a \cn{text} command for
+% typesetting a fragment of text inside a display.
+ Cung cấp lệnh \cn{text} để sắp xếp các đoạn văn bên trong
+ biểu thức toán học.
+
+\item[\pkg{amsopn}]
+% Provides \cn{DeclareMathOperator} for defining new
+% `operator names' like \cn{sin} and \cn{lim}.
+ Cung cấp lệnh \cn{DeclareMathOperator} để định nghĩa
+ các toán tử mới, như \cn{sin}, \cn{lim}.
+
+\item[\pkg{amsbsy}]
+% For backward compatibility this package continues
+% to exist but use of the newer \pkg{bm} package that comes with \LaTeX{}
+% is recommended instead.
+ Gói này vẫn tồn tại để bảo đảm tính tương thích; tuy nhiên,
+ bạn nên dùng gói \pkg{bm} để thay thế cho \pkg{amsbsy}.
+
+\item[\pkg{amscd}]
+% Provides a \env{CD} environment for simple
+% commutative diagrams (no support for diagonal arrows).
+ Cung cấp môi trường \env{CD} để biểu diễn các biểu đồ giao hoán
+ đơn giản (với gói này, bạn không thể vẽ các mũi tên chéo).
+
+\item[\pkg{amsxtra}]
+% Provides certain odds and ends such as
+% \cn{fracwithdelims} and \cn{accentedsymbol}, for compatibility with
+% documents created using version 1.1.
+ Gói bổ sung, nhằm bảo đảm tương thích với tài liệu dùng phiên bản 1.1
+ của \pkg{amsmath}. Cung cấp: \cn{fracwithdelims}, \cn{accentedsymbol},...
+
+\end{description}
+
+% The \pkg{amsmath} package incorporates \pkg{amstext}, \pkg{amsopn}, and
+% \pkg{amsbsy}. The features of \pkg{amscd} and \pkg{amsxtra}, however,
+% are available only by invoking those packages separately.
+\medskip
+Gói \pkg{amsmath} đã bao gộp các gói \pkg{amstext}, \pkg{amsopn}, and
+\pkg{amsbsy}; nghĩa là khi nạp gói \pkg{amsmath}, ba gói kia sẽ tự động
+nạp theo. Còn để dùng các gói \pkg{amscd}, \pkg{amsxtra}, bạn phải nạp riêng chúng.
+
+\chapter{Các tùy chọn của gói \pkg{amsmath}}\label{options}
+
+Để dùng tùy chọn của gói, bạn để tên của tùy chọn vào trong phần tham
+số bổ sung của lệnh nạp gói \cn{usepakage}. Các tùy chọn cách nhau bằng
+dấu phảy. Ví dụ:
+
+\medskip
+\verb"\usepackage[intlimits]{amsmath}"\\
+\indent\verb"\usepackage[sumlimits,intlimits]{amsmath}"
+
+\medskip
+% The \pkg{amsmath} package has the following options:
+Gói \pkg{amsmath} có các tùy chọn sau đây:
+\begin{description}
+
+\item[\opt{centertags}] (mặc định)
+%For a split equation, place equation
+%numbers\index{equation numbers!vertical placement} vertically centered
+%on the total height of the equation.
+Đánh số phương trình\index{equation numbers!vertical placement}
+bằng cách đặt chỉ số canh giữa theo chiều cao của phương trình.
+
+\item[\opt{tbtags}]
+%`Top-or-bottom tags': For a split equation, place
+%equation numbers\index{equation numbers!vertical placement} level with
+%the last (resp.\@ first) line, if numbers are on the right (resp.\@
+%left).
+`Top-or-bottom tags': Đặt chỉ số của phương trình ở phía bên phải,
+dòng cuối cùng; hoặc ở phía bên trái, dòng đầu tiên.
+
+\item[\opt{sumlimits}] (mặc định)
+% Place the subscripts and
+% superscripts\index{subscripts and superscripts!placement}\relax
+% \index{limits|see{subscripts and superscripts}} of summation symbols
+% above and below, in displayed equations. This option also affects other
+% symbols of the same type\mdash $\prod$, $\coprod$, $\bigotimes$,
+% $\bigoplus$, and so forth\mdash but excluding integrals (see below).
+Đặt các chỉ số trên và dưới của các ký hiệu tổng ($\sum$) ở trên và
+ở dưới (trong công thức riêng dòng). Tùy chọn này cũng ảnh hưởng
+đến các ký hiệu cùng loại\mdash $\prod$, $\coprod$, $\bigotimes$,
+$\bigoplus$,...\mdash (nhưng ký hiệu tích phân thì không; xem dưới đây)
+
+\item[\opt{nosumlimits}]
+% Always place the subscripts and superscripts of
+% summation-type symbols to the side, even in displayed equations.
+Luôn đặt chỉ số trên và chỉ số dưới của các ký hiệu dạng tổng ($\sum$, $\prod$,...)
+ở bên cạnh, ngay cả trong công thức riêng dòng. Ví dụ $\sum_0^1$.
+
+\item[\opt{intlimits}]
+% Like \opt{sumlimits}, but for
+% integral\index{integrals!placement of limits} symbols.
+Tương tự như \opt{sumlimits}, nhưng cho ký hiệu tích phân.
+
+\item[\opt{nointlimits}] (mặc định) Ngược với \opt{intlimits}.
+
+\item[\opt{namelimits}] (mặc định)
+% Like \opt{sumlimits}, but for certain
+% `operator names' such as $\det$, $\inf$, $\lim$, $\max$, $\min$, that
+% traditionally have subscripts \index{subscripts and
+% superscripts!placement} placed underneath when they occur in a displayed
+% equation.
+Tương tự \opt{sumlimits}, nhưng cho một số toán tử như
+$\det$, $\inf$, $\lim$, $\max$, $\min$;
+các toán tử này theo truyền thống thường có chỉ số đặt bên dưới toán tử
+(chế độ công thức riêng dòng).
+
+\item[\opt{nonamelimits}] Ngược với \opt{namelimits}.
+
+% To use one of these package options, put the option name in the optional
+% argument of the \cn{usepackage} command\mdash e.g.,
+% \verb"\usepackage[intlimits]{amsmath}".
+
+% The \pkg{amsmath} package also recognizes the following options which
+% are normally selected (implicitly or explicitly) through the
+% \cn{documentclass} command, and thus need not be repeated in the option
+% list of the \cn{usepackage}|{amsmath}| statement.
+
+\item[\opt{leqno}]
+% Place equation numbers on the left.\index{equation
+% numbers!left or right placement}
+Đặt chỉ số phương trình bên trái.
+
+\item[\opt{reqno}]
+% Place equation numbers on the right.
+Đặt chỉ số phương trình bên phải.
+
+\item[\opt{fleqn}]
+% Position equations at a fixed indent from the left
+% margin rather than centered in the text column.\index{displayed
+% equations!centering}
+Biểu diễn phương trình với lề trái cố định; theo mặc định, các phương
+trình được canh giữa (do đó, lề trái của chúng \emph{thay đổi}).
+
+\end{description}
+
+% The \pkg{amsmath} package also recognizes the following options which
+% are normally selected (implicitly or explicitly) through the
+% \cn{documentclass} command, and thus need not be repeated in the option
+% list of the \cn{usepackage}|{amsmath}| statement.
+\medskip
+Đối với ba tùy chọn cuối cùng (\opt{leqno}, \opt{reqno}, \opt{fleqn}),
+bạn có thể để chúng vào phần tham số bổ sung của \cn{documentclass};
+gói \pkg{amsmath} nhận biết điều này và do đó bạn không cần lặp lại
+khi nạp gói bằng \cn{usepackage}|{amsmath}|:
+
+\medskip
+\verb"\documentclass[reqno]{report}"\par
+\indent\verb"\usepackage{amsmath}"\% có tác dụng như \verb"\usepackage[reqno]{amsmath}"
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\chapter{Displayed equations}
+\chapter{Biểu diễn phương trình}
+
+\section{Giới thiệu}
+% The \pkg{amsmath} package provides a number of additional displayed
+% equation structures\index{displayed
+% equations}\index{equations|see{displayed equations}} beyond the ones
+% provided in basic \latex/. The augmented set includes:
+Gói \pkg{amsmath} cung cấp thêm các môi trường biểu diễn phương trình sau
+đây, bên cạnh các môi trường chuẩn của \latex/:
+\begin{verbatim}
+ equation equation* align align*
+ gather gather* flalign flalign*
+ multline multline* alignat alignat*
+ split
+\end{verbatim}
+% (Although the standard \env{eqnarray} environment remains available,
+% it is better to use \env{align} or \env{equation}+\env{split} instead.)
+(Mặc dù môi trường chuẩn \env{eqnarray} vẫn dùng được, nhưng tốt hơn hết
+nên dùng môi trường \env{align} hoặc tổ hợp \env{equation}+\env{split}.)
+
+\medskip
+
+% Except for \env{split}, each environment has both starred and unstarred
+% forms, where the unstarred forms have automatic numbering using
+% \latex/'s \env{equation} counter.
+Ngoại trừ \env{split}, mỗi môi trường đều có hai dạng:
+\emph{có sao (*)} và \emph{không sao};
+các môi trường không sao sẽ sử dụng bộ đếm \env{equation} của \latex/
+để đánh số các phương trình một cách tự động (do đó, ta gọi
+chúng là \emph{môi trường có đánh số}).
+% You can suppress the number on any
+% particular line by putting \cn{notag} before the \cn{\\};
+Bạn có thể bỏ qua việc đánh số cho bất kỳ dòng phương trình nào
+bằng cách đặt lệnh \cn{notag} trước khi dùng \cn{\\};
+% you can also
+% override\index{equation numbers!overriding} it with a tag of your own
+% using \cn{tag}|{|\<label>|}|, where \<label> means arbitrary text such
+% as |$*$| or |ii| used to \qq{number} the equation.
+cũng có thể thay đổi kiểu đánh số cho dòng phương trình cụ thể, bằng
+cách dùng \cn{tag}|{|\<label>|}|, ở đây \<label> là |text| bất kỳ,
+chẳng hạn |$*$| hoặc |ii|. Theo mặc định, \<label> của \cn{tag} sẽ được
+đặt trong cặp dấu ngoặc đơn, ví dụ (3.32);
+nếu không muốn điều này xảy ra, bạn có thể dùng \cn{tag*}.
+% There is also a
+% \cn{tag*} command that causes the text you supply to be typeset
+% literally, without adding parentheses around it.
+\emph{Để ý rằng,}
+% \cn{tag} and \cn{tag*}
+% can also be used within the unnumbered versions of all the \pkg{amsmath}
+% alignment structures. Some examples of the use of \cn{tag} may be found
+% in the sample files \fn{testmath.tex} and \fn{subeqn.tex} provided with
+% the \pkg{amsmath} package.
+\cn{tag} và \cn{tag*} có thể dùng với mọi môi trường đã liệt kê ở trên,
+chứ không phải với chỉ các môi trường có đánh số (không sao).
+Ví dụ về việc dùng \cn{tag} có thể tìm thấy trong \fn{testmath.tex}
+và \fn{subeqn.tex} được phân phối cùng với tài liệu này.
+
+% The \env{split} environment is a special subordinate form that is used
+% only \emph{inside} one of the others. It cannot be used inside
+% \env{multline}, however.
+\medskip
+Môi trường \env{split} là một dạng đặc biệt, chỉ có thể được dùng
+bên trong các môi trường khác. Tuy nhiên, nó lại không thể dùng bên
+trong \env{multline}.
+
+% In the structures that do alignment (\env{split}, \env{align} and
+% variants), relation symbols have an \verb'&' before them but not
+% after\mdash unlike \env{eqnarray}. Putting the \verb'&' after the
+% relation symbol will interfere with the normal spacing; it has to go
+% before.
+\medskip
+Với các môi trường có chức năng canh cột (\env{split}, \env{align},...),
+các ký hiệu quan hệ (dấu $=$, $>$, $\le$, ...) phải được đặt sau dấu \verb'&'.
+Đây là điểm khác biệt so với \env{eqnarray}.
+
+\begin{table}[p]
+\caption[]{
+% Comparison of displayed equation environments (vertical lines
+% indicating nominal margins)
+So sánh các môi trường biểu diễn phương trình (đường thẳng đứng
+dùng để chỉ lề trái, phải của tờ giấy tưởng tượng)
+}
+\label{displays}
+\renewcommand{\theequation}{\arabic{equation}}
+\begin{eqxample}
+\begin{verbatim}
+\begin{equation*}
+a=b
+\end{equation*}
+\end{verbatim}
+\producing
+\begin{equation*}
+a=b
+\end{equation*}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{equation}
+a=b
+\end{equation}
+\end{verbatim}
+\producing
+\begin{equation}
+a=b
+\end{equation}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{equation}\label{xx}
+\begin{split}
+a& =b+c-d\\
+ & \quad +e-f\\
+ & =g+h\\
+ & =i
+\end{split}
+\end{equation}
+\end{verbatim}
+\producing
+\begin{equation}\label{xx}
+\begin{split}
+a& =b+c-d\\
+ & \quad +e-f\\
+ & =g+h\\
+ & =i
+\end{split}
+\end{equation}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{multline}
+a+b+c+d+e+f\\
++i+j+k+l+m+n
+\end{multline}
+\end{verbatim}
+\producing
+\begin{multline}
+a+b+c+d+e+f\\
++i+j+k+l+m+n
+\end{multline}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{gather}
+a_1=b_1+c_1\\
+a_2=b_2+c_2-d_2+e_2
+\end{gather}
+\end{verbatim}
+\producing
+\begin{gather}
+a_1=b_1+c_1\\
+a_2=b_2+c_2-d_2+e_2
+\end{gather}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{align}
+a_1& =b_1+c_1\\
+a_2& =b_2+c_2-d_2+e_2
+\end{align}
+\end{verbatim}
+\producing
+\begin{align}
+a_1& =b_1+c_1\\
+a_2& =b_2+c_2-d_2+e_2
+\end{align}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{align}
+a_{11}& =b_{11}&
+ a_{12}& =b_{12}\\
+a_{21}& =b_{21}&
+ a_{22}& =b_{22}+c_{22}
+\end{align}
+\end{verbatim}
+\producing
+\begin{align}
+a_{11}& =b_{11}&
+ a_{12}& =b_{12}\\
+a_{21}& =b_{21}&
+ a_{22}& =b_{22}+c_{22}
+\end{align}
+\end{eqxample}
+
+\begin{eqxample}
+\begin{verbatim}
+\begin{flalign*}
+a_{11}& =b_{11}&
+ a_{12}& =b_{12}\\
+a_{21}& =b_{21}&
+ a_{22}& =b_{22}+c_{22}
+\end{flalign*}
+\end{verbatim}
+\producing
+\begin{flalign*}
+a_{11}& =b_{11}&
+ a_{12}& =b_{12}\\
+a_{21}& =b_{21}&
+ a_{22}& =b_{22}+c_{22}
+\end{flalign*}
+\end{eqxample}
+\end{table}
+
+\afterpage{\clearpage}
+
+%\section{Single equations}
+\section{Phương trình đơn}
+
+% The \env{equation} environment is for a single equation with an
+% automatically generated number. The \env{equation*} environment is the
+% same except for omitting the number.%
+Môi trường \env{equation} dùng biểu diễn phương trình đơn
+và tự động đánh số cho phương trình đó. Môi trường \env{equation*}
+có tác dụng tương tự, nhưng không đánh số.%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% \footnote{Basic \latex/ doesn't provide an \env{equation*} environment,
+% but rather a functionally equivalent environment named
+% \env{displaymath}.}
+\footnote{\latex/ chuẩn không có môi trường \env{equation*}, mà
+chỉ có dạng tương đương là \env{displaymath}.}
+
+\medskip
+
+Hai môi trường này chỉ biểu diễn phương trình trên đúng một dòng;
+bạn không thể dùng \cn{\\} bên trong hai môi trường đó.
+Nếu biểu thức quá dài, sẽ xảy tràn trang. Hãy xem mục tiếp theo.
+
+%\section{Split equations without alignment}
+\section{Chia nhỏ phương trình nhưng không canh cột}
+
+% The \env{multline} environment is a variation of the \env{equation}
+% environment used for equations that don't fit on a single line. The
+% first line of a \env{multline} will be at the left margin and the last
+% line at the right margin, except for an indention on both sides in the
+% amount of \cn{multlinegap}. Any additional lines in between will be
+% centered independently within the display width (unless the \opt{fleqn}
+% option is in effect).
+Môi trường \env{multline} là biến thể của \env{equation}, cho phép
+biểu diễn các phương trình quá dài, không thể bố trí vừa khít trên một dòng.
+Trong môi trường này, bạn dùng \cn{\\} để tách các dòng.
+Dòng đầu tiên sẽ canh ở lề trái, dòng cuối cùng được canh ở lề phải;
+ngay trước dòng đầu tiên và ngay sau dòng cuối cùng là khoảng trắng |indent|
+được cung cấp bởi biến độ dài \cn{multlinegap}.
+Các dòng còn lại sẽ được canh giữa trang, trừ khi bạn dùng tùy chọn \opt{fleqn}.
+
+% Like \env{equation}, \env{multline} has only a single equation number
+% (thus, none of the individual lines should be marked with \cn{notag}).
+% The equation number is placed on the last line (\opt{reqno} option) or
+% first line (\opt{leqno} option); vertical centering as for \env{split}
+% is not supported by \env{multline}.
+\medskip
+Giống như \env{equation}, môi trường \env{multline} chỉ đánh số tất cả
+các dòng của nó bởi đúng một chỉ số (do đó, bạn không thể dùng \cn{notag}
+cho riêng dòng nào trong môi trường). Chỉ số được đánh sẽ được ở dòng
+cuối cùng (tùy chọn \opt{reqno}) hoặc dòng đầu tiên (tùy chọn \opt{leqno});
+kiểu đánh số canh giữ như \env{split} không được hỗ trợ.
+
+% It's possible to force one of the middle lines to the left or right with
+% commands \cn{shoveleft}, \cn{shoveright}. These commands take the entire
+% line as an argument, up to but not including the final \cn{\\}; for
+% example
+\medskip
+Có thể làm cho các dòng giữa của môi trường dịch chuyển qua trái hoặc
+qua phải bằng cách lệnh \cn{shoveleft} hay \cn{shoveright}.
+Các lệnh này sẽ nhận cả dòng cần dịch chuyển làm tham số
+(nhưng trừ ra \cn{\\} ở cuối dòng)
+\begin{multline}
+\framebox[.65\columnwidth]{A}\\
+\framebox[.5\columnwidth]{B}\\
+\shoveright{\framebox[.55\columnwidth]{C}}\\
+\framebox[.65\columnwidth]{D}
+\end{multline}
+\begin{verbatim}
+\begin{multline}
+\framebox[.65\columnwidth]{A}\\
+\framebox[.5\columnwidth]{B}\\
+%
+\shoveright{\framebox[.55\columnwidth]{C}}\\
+%
+\framebox[.65\columnwidth]{D}
+\end{multline}
+\end{verbatim}
+
+% The value of \cn{multlinegap} can be changed with the usual \latex/
+% commands \cn{setlength} or \cn{addtolength}.
+Giái trị của biến độ dài \cn{multlinegap} có thể thay đổi nhờ các
+lệnh của \latex/ là \cn{setlength} và \cn{addtolength}.
+
+%\section{Split equations with alignment}
+\section{Chia nhỏ phương trình và canh cột}
+
+% Like \env{multline}, the \env{split} environment is for \emph{single}
+% equations that are too long to fit on one line and hence must be split
+% into multiple lines.
+Giống như \env{multline}, môi trường \env{split} dùng biểu diễn
+\emph{các phương trình đơn} quá dài, không bố trí vừa trên riêng một dòng
+và do đó phải chia chúng thành nhiều dòng.
+% Unlike \env{multline}, however, the \env{split}
+% environment provides for alignment among the split lines, using |&| to
+% mark alignment points.
+Nhưng không như \env{multline}, môi trường \env{split}
+cho phép canh cột các dòng nhờ sử dụng |&| để đánh dấu cột.
+% Unlike the other \pkg{amsmath} equation
+% structures, the \env{split} environment provides no numbering, because
+% it is intended to be used \emph{only inside some other displayed
+% equation structure}, usually an \env{equation}, \env{align}, or
+% \env{gather} environment, which provides the numbering. For example:
+Không như các môi trường phương trình khác của gói \pkg{amsmath},
+\env{split} không đánh số phương trình, bởi \emph{nó chỉ có thể dùng
+bên trong khác môi trường khác}, thường là
+\env{equation}, \env{align}, hay \env{gather}
+(các môi trường vừa nhắc đến thực hiện đánh số). Ví dụ:
+\begin{equation}\label{e:barwq}\begin{split}
+H_c&=\frac{1}{2n} \sum^n_{l=0}(-1)^{l}(n-{l})^{p-2}
+\sum_{l _1+\dots+ l _p=l}\prod^p_{i=1} \binom{n_i}{l _i}\\
+&\quad\cdot[(n-l )-(n_i-l _i)]^{n_i-l _i}\cdot
+\Bigl[(n-l )^2-\sum^p_{j=1}(n_i-l _i)^2\Bigr].
+\kern-2em % adjust equation body to the right [mjd,13-Nov-1994]
+\end{split}\end{equation}
+
+\begin{verbatim}
+\begin{equation}\label{e:barwq}
+\begin{split}
+H_c &=\frac{1}{2n} \sum^n_{l=0}(-1)^{l}(n-{l})^{p-2}
+ \sum_{l _1+\dots+ l _p=l}\prod^p_{i=1}\binom{n_i}{l _i}
+\\ &\quad\cdot[(n-l )-(n_i-l _i)]^{n_i-l _i}
+ \cdot\Bigl[(n-l )^2-\sum^p_{j=1}(n_i-l _i)^2\Bigr].
+\end{split}
+\end{equation}
+\end{verbatim}
+
+% The \env{split} structure should constitute the entire body of the
+% enclosing structure, apart from commands like \cn{label} that produce no
+% visible material.
+Phần phương trình biểu diễn nhờ \env{split}
+nên được xem là một phần riêng biệt;
+lệnh \cn{label} đặt bên trong môi trường sẽ không có tác dụng.
+
+%\section{Equation groups without alignment}
+\section{Nhóm phương trình không canh cột}
+
+% The \env{gather} environment is used for a group of consecutive
+% equations when there is no alignment desired among them; each one is
+% centered separately within the text width (see Table~\ref{displays}).
+% Equations inside \env{gather} are separated by a \cn{\bslash} command.
+% Any equation in a \env{gather} may consist of a \verb'\begin{split}'
+% \dots\ \verb'\end{split}' structure\mdash for example:
+Môi trường \env{gather} thường dùng biểu diễn nhóm các phương trình
+mà không quan tâm đến việc canh cột giữa chúng; mỗi phương trình trong nhóm
+sẽ nằm ở dòng riêng (xem Bảng~\ref{displays}). Các phương trình bên trong
+môi trường \env{gather} được phân biệt nhờ \cn{\\}. Bất kỳ phương trình
+nào bên trong \env{gather} cũng có thể là ở dạng
+\verb'\begin{split}' \dots\ \verb'\end{split}'
+\begin{verbatim}
+\begin{gather}
+ phương trình thứ nhất\\
+ \begin{split}
+ phương trình & thứ hai\\
+ & với hai dòng
+ \end{split}
+ \\
+ phương trình thứ ba
+\end{gather}
+\end{verbatim}
+
+%\section{Equation groups with mutual alignment}
+\section{Nhóm phương trình có canh cột}
+
+% The \env{align} environment is used for two or more equations when
+% vertical alignment is desired; usually binary relations such as equal
+% signs are aligned (see Table~\ref{displays}).
+Môi trường \env{align} biểu diễn nhóm các phương trình và cho phép
+canh cột giữa các phương trình. Xem Bảng~\ref{displays}.
+
+% To have several equation columns side-by-side, use extra ampersands
+% to separate the columns:
+\medskip
+Để có vài cột phương trình đi cùng nhau, hãy \emph{dùng thêm} các dấu |&|
+\begin{align}
+x&=y & X&=Y & a&=b+c\\
+x'&=y' & X'&=Y' & a'&=b\\
+x+x'&=y+y' & X+X'&=Y+Y' & a'b&=c'b
+\end{align}
+%
+\begin{verbatim}
+\begin{align}
+x&=y & X&=Y & a&=b+c\\
+x'&=y' & X'&=Y' & a'&=b\\
+x+x'&=y+y' & X+X'&=Y+Y' & a'b&=c'b
+\end{align}
+\end{verbatim}
+% Line-by-line annotations on an equation can be done by judicious
+% application of \cn{text} inside an \env{align} environment:
+Có thể thêm chú thích cho phương trình (nằm cùng dòng với phương trình)
+bằng cách dùng lệnh \cn{text} bên trong môi trường \env{align}:
+\begin{align}
+x& = y_1-y_2+y_3-y_5+y_8-\dots
+ && \text{theo \eqref{eq:C}}\\
+ & = y'\circ y^* && \text{theo \eqref{eq:D}}\\
+ & = y(0) y' && \text {theo Tiên đề 1.}
+\end{align}
+%
+\begin{verbatim}
+\begin{align}
+x& = y_1-y_2+y_3-y_5+y_8-\dots
+ && \text{theo \eqref{eq:C}}\\
+ & = y'\circ y^* && \text{theo \eqref{eq:D}}\\
+ & = y(0) y' && \text {theo Tiên đề 1.}
+\end{align}
+\end{verbatim}
+% A variant environment \env{alignat} allows the horizontal space between
+% equations to be explicitly specified. This environment takes one argument,
+% the number of \qq{equation columns}: count the maximum number of \verb'&'s
+% in any row, add 1 and divide by 2.
+Biến thể \env{alignat} của môi trường \env{align} cho phép xác định khoảng
+cách (theo chiều ngang), nhờ đó sẽ tiết kiệm không gian hơn. Môi trường này
+nhận một tham số, là \emph{"số cột phương trình"}. Để có số này, bạn
+đếm số dấu |&| trong các phương trình, chọn ra số lớn nhất, cộng số đó
+với 1 rồi chia kết quả cho 2. So sánh ví dụ dưới đây với ví dụ ở ngay trên.
+\begin{alignat}{2}
+x& = y_1-y_2+y_3-y_5+y_8-\dots
+ &\quad& \text{theo \eqref{eq:C}}\\
+ & = y'\circ y^* && \text{theo \eqref{eq:D}}\\
+ & = y(0) y' && \text {theo Tiên đề 1.}
+\end{alignat}
+%
+\begin{verbatim}
+\begin{alignat}{2}
+x& = y_1-y_2+y_3-y_5+y_8-\dots
+ &\quad& \text{theo \eqref{eq:C}}\\
+ & = y'\circ y^* && \text{theo \eqref{eq:D}}\\
+ & = y(0) y' && \text {theo Tiên đề 1.}
+\end{alignat}
+\end{verbatim}
+
+%\section{Alignment building blocks}
+\section{Canh cột các khối phương trình}
+
+% Like \env{equation}, the multi-equation environments \env{gather},
+% \env{align}, and \env{alignat} are designed to produce a structure
+% whose width is the full line width. This means, for example, that one
+% cannot readily add parentheses around the entire structure.
+Giống như \env{equation}, các môi trường phương trình nhiều dòng
+\env{gather}, \env{align} và \env{alignat} bố trí phương trình \emph{trên
+cả chiều rộng của dòng.} Điều này dẫn tới, chẳng hạn, ta không thể
+thêm các dấu ngoặc để bao quanh phương trình.
+
+% But variants \env{gathered}, \env{aligned}, and \env{alignedat} are provided whose
+% total width is the actual width of the contents; thus they can be used
+% as a component in a containing expression. E.g.,
+\medskip
+Các môi trường \env{gathered}, \env{aligned} và \env{alignedat} khắc phục
+nhược điểm trên; chúng biểu diễn phương trình \emph{trên một chiều rộng đúng bằng chiều
+rộng của nội dung phương trình.} Nhờ đó, chúng có thể xem như một phần của biểu thức,
+ví dụ:
+\begin{equation*}
+\left.% dùng \left. để bỏ đi dấu ngoặc bên trái
+\begin{aligned}
+ B'&=-\partial\times E,\\
+ E'&=\partial\times B - 4\pi j,
+\end{aligned}
+\right\}
+\qquad \text{Phương trình Maxwell}
+\end{equation*}
+\begin{verbatim}
+\begin{equation*}
+\left.% dùng \left. để bỏ đi dấu ngoặc bên trái
+\begin{aligned}
+ B'&=-\partial\times E,\\
+ E'&=\partial\times B - 4\pi j,
+\end{aligned}
+\right\}
+\qquad \text{Phương trình Maxwell}
+\end{equation*}
+\end{verbatim}
+% Like the \env{array} environment, these \texttt{-ed} variants also take
+% an optional \verb'[t]' or \verb'[b]' argument to specify vertical
+% positioning.
+
+\medskip
+Giống như \env{array}, các biến thể \texttt{-ed} nhận tham số tùy chọn (bổ sung)
+\verb'[t]' hoặc \verb'[b]' để chỉ vị trí biểu diễn (`t' cho top-ở trên;
+`b' cho bottom-ở dưới)
+
+% \qq{Cases} constructions like the following are common in
+% mathematics:
+\medskip
+Biến thể \env{cases} dùng để \emph{chia các trường hợp}:
+\begin{equation}\label{eq:C}
+P_{r-j}=
+ \begin{cases}
+ 0& \text{nếu $r-j$ là số lẻ},\\
+ r!\,(-1)^{(r-j)/2}& \text{nếu $r-j$ là số chẵn}.
+ \end{cases}
+\end{equation}
+% and in the \pkg{amsmath} package there is a \env{cases} environment to
+% make them easy to write:
+\begin{verbatim}
+P_{r-j}=\begin{cases}
+ 0& \text{nếu $r-j$ là số lẻ},\\
+ r!\,(-1)^{(r-j)/2}& \text{nếu $r-j$ là số chẵn}.
+ \end{cases}
+\end{verbatim}
+% Notice the use of \cn{text} (cf.~\secref{text}) and the nested
+% math formulas.
+Để ý đến việc dùng lệnh \cn{text} (xem Mục~\secref{text}) và biểu thức
+toán |$...$| bên trong \cn{text}.
+
+\medskip
+Cần nhớ: các biến thể \env{cases} và \env{-ed} chỉ được dùng bên trong
+các môi trường phương trình khác\mdash tương tự như \env{split}.
+
+
+%\section{Adjusting tag placement}
+\section{Thay đổi vị trí chỉ số phương trình}
+
+% Placing equation numbers can be a rather complex problem in multiline
+% displays. The environments of the \pkg{amsmath} package try hard to
+% avoid overprinting an equation number on the equation contents, if
+% necessary moving the number down or up to a separate line.
+Thay đổi vị trí đặt chỉ số phương trình là vấn đề khá phức tạp trong
+biểu diễn phương trình nhiều dòng. Các môi trường của gói \pkg{amsmath}
+luôn cố gắng để không đặt chỉ số phương trình \emph{đè} lên nội dung phương
+trình, và nếu cần thiết thì đặt chỉ số ở trên hoặc dưới một chút,
+thậm chí, ở riêng một dòng.
+% Difficulties
+% in accurately calculating the profile of an equation can occasionally
+% result in number movement that doesn't look right.
+Nhưng việc tính chính xác thuộc tính của phương trình là điều khó khăn;
+do đó, đôi khi việc dịch chuyển chỉ số phương trình do gói \pkg{amsmath}
+thực hiện sẽ không mang lại kết quả đẹp mắt.
+% There is a \cn{raisetag} command provided to adjust the vertical position of the
+% current equation number, if it has been shifted away from its normal
+% position.
+Trong trường hợp đó, bạn phải \emph{làm bằng tay} nhờ lệnh \cn{raisetag}.
+%To move a particular number up by six points, write |\raisetag{6pt}|.
+Để dịch chuyển chỉ số lên phía trên một quãng $6pt$, dùng |\raisetag{6pt}|;
+còn để dịch xuống, dùng chẳng hạn |\raisetag{-6pt}|.
+% This kind of adjustment is fine tuning like line
+% breaks and page breaks, and should therefore be left undone until your
+% document is nearly finalized, or you may end up redoing the fine tuning
+% several times to keep up with changing document contents.
+
+\medskip
+Việc điều chỉnh ví trí chỉ số bằng \cn{raisetag} là công việc tỉ mỉ, cũng như việc
+ngắt dòng, ngắt trang bằng \cn{linebreak}, \cn{pagebreak}. Bạn \emph{chỉ nên}
+thực hiện điều chỉnh khi tài liệu của bạn gần như hoàn tất, và cần làm
+lại mỗi khi bạn thay đổi nội dung tài liệu.
+
+%\section{Vertical spacing and page breaks in multiline displays}
+\section{V-khoảng cách và ngắt trang trong biểu diễn nhiều dòng}
+
+% You can use the \cn{\\}|[|\<dimension>|]| command to get extra vertical
+% space between lines in all the \pkg{amsmath} displayed equation
+% environments, as is usual in \latex/.
+Bạn có thể dùng \cn{\\}|[|\<dimension>|]| để thêm các v-khoảng cách giữa
+các dòng trong mọi môi trường biểu diễn phương trình của gói \pkg{amsmath};
+điều này cũng tương tự trong \latex/.
+% When the \pkg{amsmath} package is
+% in use \ii{page breaks} between equation lines are normally disallowed;
+% the philosophy is that page breaks in such material should receive
+% individual attention from the author.
+
+
+\medskip
+Khi dùng gói \pkg{amsmath}, việc \ii{ngắt trang} giữa các dòng của phương trình
+không (tự động) xảy ra; bởi việc ngắt trang như vậy sẽ làm cho phương trình trở nên
+khó theo dõi đối với độc giả.
+% To get an individual page break
+% inside a particular displayed equation, a \cn{displaybreak} command is
+% provided.
+Để ngắt trang bên trong phương trình, bạn phải làm bằng tay nhờ lệnh
+\cn{displaybreak}.
+% \cn{displaybreak} is best placed immediately before the
+% \cn{\\} where it is to take effect. Like \latex/'s \cn{pagebreak},
+% \cn{displaybreak} takes an optional argument between 0 and 4 denoting
+% the desirability of the pagebreak. |\displaybreak[0]| means \qq{it is
+% permissible to break here} without encouraging a break;
+% \cn{displaybreak} with no optional argument is the same as
+% |\displaybreak[4]| and forces a break.
+Nơi đặt \cn{displaybreak} tốt nhất là ngay trước \cn{\\} ở dòng cần ngắt trang.
+Giống như lệnh \cn{pagebreak} của \latex/, lệnh \cn{displaybreak} nhận
+tham số bổ sung (tùy chọn) là một trong các số 0, 1, 2, 3, 4;
+tham số này cho biết mức độ ngắt trang. Dùng |\displaybreak[0]| để hàm ý
+\qq{không được ngắt trang ở đây},...; trong khi |\displaybreak|
+(không có tham số bổ sung), như |\displaybreak[4]|, hàm ý
+\qq{ngắt trang ở đây}.
+
+% If you prefer a strategy of letting page breaks fall where they may,
+% even in the middle of a multi-line equation, then you might put
+% \cn{allowdisplaybreaks}\texttt{[1]} in the preamble of your document. An
+% optional argument 1\ndash 4 can be used for finer control: |[1]| means
+% allow page breaks, but avoid them as much as possible; values of 2,3,4
+% mean increasing permissiveness. When display breaks are enabled with
+% \cn{allowdisplaybreaks}, the \cn{\\*} command can be used to prohibit a
+% pagebreak after a given line, as usual.
+\medskip
+Việc ngắt trang dùng \cn{displaybreak} như trên chỉ có thể làm đối với
+phương trình cụ thể. Nếu muốn cung cấp cho gói \pkg{amsmath} \qq{giấy phép ngắt trang}
+một cách toàn cục (cho mọi phương trình nhiều dòng),
+bạn dùng \cn{allowdisplaybreaks}\texttt{[1]} trong phần |preamble| của tài liệu.
+Tham số bổ sung của lệnh này nhận giá trị từ 1 đến 4: |[1]| có nghĩa là
+cho phép ngắt trang, nhưng tránh việc đó nếu có thể được; các giá trị 2,3,4
+càng tăng khả năng ngắt trang. Khi dùng \cn{allowdisplaybreaks}, thì lệnh
+\cn{\\*} dùng để cấm xảy ra ngắt trang sau một dòng cụ thể.
+
+\medskip
+\begin{bfseries}
+% Note: Certain equation environments wrap their contents in an
+% unbreakable box, with the consequence that neither \cn{displaybreak} nor
+% \cn{allowdisplaybreaks} will have any effect on them. These include
+Các môi trường \env{split}, \env{aligned}, \env{gathered} và \env{alignedat}
+có khả năng |wrap| nội dung phương trình trong các hộp không cho phép ngắt
+(|unbreakable box|); hệ quả là trong trường hợp đó, cả hai lệnh
+\cn{displaybreak} và \cn{allowdisplaybreaks} đều không có tác dụng.
+\end{bfseries}
+
+%\section{Interrupting a display}
+\section{Xen liên từ vào giữa các phương trình}
+
+% The command \cn{intertext} is used for a short interjection of one or
+% two lines of text\index{text fragments inside math} in the middle of a
+% multiple-line display structure (see also the \cn{text} command in
+% \secref{text}). Its salient feature is preservation of the alignment,
+% which would not happen if you simply ended the display and then started
+% it up again afterwards. \cn{intertext} may only appear right after a
+% \cn{\\} or \cn{\\*} command. Notice the position of the word \qq{and} in
+% this example.
+Lệnh \cn{intertext} dùng để xen liên từ\footnote{hay cái khác, tùy bạn!}
+vào giữa các dòng của biểu diễn nhiều dòng (xem thêm về \cn{text}
+ở Mục~\secref{text}). Nhờ đó, để bảm đảm việc canh cột các phương trình,
+bạn đỡ phải tốn công kết thúc một biểu diễn rồi sau đó bắt đầu lại.
+Lệnh \cn{intertext} chỉ có thể đặt ngay sau \cn{\\} hoặc \cn{\\*}.
+Hãy chú ý đến sự xuất hiện của liên từ \qq{và} trong ví dụ sau.
+\begin{align}
+A_1&=N_0(\lambda;\Omega')-\phi(\lambda;\Omega'),\\
+A_2&=\phi(\lambda;\Omega')-\phi(\lambda;\Omega),\\
+\intertext{và}
+A_3&=\mathcal{N}(\lambda;\omega).
+\end{align}
+\begin{verbatim}
+\begin{align}
+A_1&=N_0(\lambda;\Omega')-\phi(\lambda;\Omega'),\\
+A_2&=\phi(\lambda;\Omega')-\phi(\lambda;\Omega),\\
+\intertext{và}
+A_3&=\mathcal{N}(\lambda;\omega).
+\end{align}
+\end{verbatim}
+
+%\section{Equation numbering}
+\section{Đánh số phương trình}
+
+%\subsection{Numbering hierarchy}
+\subsection{Hệ thống chỉ số phương trình}
+% In \latex/ if you wanted to have equations numbered within
+% sections\mdash that is, have
+% equation numbers (1.1), (1.2), \dots, (2.1), (2.2),
+% \dots, in sections 1, 2, and so forth\mdash you could redefine
+% \cn{theequation} as suggested in the \latex/ manual \cite[\S6.3, \S C.8.4]{lamport}:
+Với \latex/, nếu bạn muốn đánh số phương trình theo mục\mdash
+nghĩa là chỉ số phương trình có dạng (1.1), (1.2), \dots, (2.1), (2.2), \dots,
+trong chương 1, 2, v.v...\mdash bạn có thể định nghĩa lại lệnh
+\cn{theequation} như lời khuyên trong sổ tay (manual) \latex/
+\cite[\S6.3, \S C.8.4]{lamport}:
+
+\medskip
+\begin{verbatim}
+\renewcommand{\theequation}{\thesection.\arabic{equation}}
+\end{verbatim}
+
+% This works pretty well, except that the equation counter won't be reset
+% to zero at the beginning of a new section or chapter, unless you do it
+% yourself using \cn{setcounter}.
+\medskip
+Cách làm như trên cho kết quả như ý, nhưng có điều bất tiện là chỉ số
+phương trình sẽ không tự động đặt về 0 khi chuyển%
+\footnote{ở mục 1, các phương trình được đánh số (1.1), (1.2), \ldots;
+còn qua mục 2, chỉ số phải bắt đầu từ (2.1) rồi đến (2.2), \ldots;
+nghĩa là ta phải đặt bộ đếm về 0 khi vừa qua mục 2.}
+% ----------------------------------------------------------------------
+từ mục này qua mục khác, và bạn phải làm điều đó bằng tay nhờ lệnh \cn{setcounter}.
+% To make this a little more convenient,
+% the \pkg{amsmath} package provides a command\index{equation
+% numbers!hierarchy} \cn{numberwithin}. To have equation numbering tied to
+% section numbering, with automatic reset of the equation counter, write
+Để cuộc sống dễ dàng hơn, gói \pkg{amsmath} cung cấp lệnh \cn{numberwithin};
+nhờ lệnh này, bạn có thể đánh số phương trình theo mục, với chỉ số phương trình
+\emph{tự động đặt về 0} khi sang mục mới.
+
+\medskip
+\begin{verbatim}
+\numberwithin{equation}{section}
+\end{verbatim}
+
+\medskip
+% As its name implies, the \cn{numberwithin} command can be applied to
+% any counter, not just the \texttt{equation} counter.
+Để ý rằng, lệnh \cn{numberwithin} có tác dụng đối với mọi bộ đếm, chứ
+không riêng gì bộ đếm \texttt{equation}.
+
+%\subsection{Cross references to equation numbers}
+\subsection{Tham khảo chéo đến chỉ số phương trình}
+
+% To make cross-references to equations easier, an \cn{eqref}
+% command\index{equation numbers!cross-references} is provided. This
+% automatically supplies the parentheses around the equation number. I.e.,
+% if \verb'\ref{abc}' produces 3.2 then \verb'\eqref{abc}' produces (3.2).
+Việc tham khảo chéo đến phương trình được thực hiện dễ dàng hơn với lệnh
+\cn{eqref}. Lệnh này tự động đặt chỉ số phương trình vào cặp dấu ngoặc đơn.
+Ví dụ: dùng \verb'\ref{abc}' ta thu được 3.2,
+trong khi \verb'\eqref{abc}' sẽ cho (3.2).
+
+%\subsection{Subordinate numbering sequences}
+\subsection{Đánh số các phương trình con của nhóm phương trình}
+
+% The \pkg{amsmath} package provides also a \env{subequations}
+% environment\index{equation numbers!subordinate numbering} to make it
+% easy to number equations in a particular group with a subordinate
+% numbering scheme. For example
+Gói \pkg{amsmath} cung cấp môi trường \env{subequations} cho phép
+bạn đánh số các phương trình con của một nhóm các phương trình
+\emph{một cách tự động}. Ví dụ
+
+\medskip
+\begin{verbatim}
+\begin{subequations}
+...
+\end{subequations}
+\end{verbatim}
+
+% causes all numbered equations within that part of the document to be
+% numbered (4.9a) (4.9b) (4.9c) \dots, if the preceding numbered
+% equation was (4.8).
+\medskip
+\noindent
+sẽ khiến các chỉ số của các phương trình bên trong môi trường
+\env{subequations} sẽ (tự động) có dạng (4.9a) (4.9b) (4.9c) \dots,
+nếu phương trình đi trước nhóm phương trình này có chỉ số (4.8).
+% A \cn{label} command immediately after
+% \verb/\begin{subequations}/ will produce a \cn{ref} of the parent
+% number 4.9, not 4.9a.
+Chú ý là, nếu bạn đặt nhãn tham chiếu (|label|) ngay sau
+\verb/\begin{subequations}/, việc tham chiếu bằng \cn{ref}
+đến nhãn đó sẽ cho ra, chẳng hạn, 4.9, chứ không phải là 4.9a.
+Vui lòng xem tài liệu \fn{subeqn.pdf} và mã nguồn \fn{subeqn.tex}
+để có các ví dụ về việc dùng môi trường này.
+
+% The counters used by the subequations
+% environment are \verb/parentequation/ and \verb/equation/ and
+% \cn{addtocounter}, \cn{setcounter}, \cn{value}, etc., can be applied
+% as usual to those counter names.
+\medskip
+Các bộ đếm dùng bởi môi trường \env{subequations} là \verb/parentequation/
+và \verb/equation/; các lệnh thay đổi bộ đếm
+\cn{addtocounter}, \cn{setcounter}, \cn{value}, \ldots
+đều có tác dụng bình thường với những bộ đếm đó.
+% To get anything other than lowercase
+% letters for the subordinate numbers, use standard \latex/ methods for
+% changing numbering style \cite[\S6.3, \S C.8.4]{lamport}. For example,
+% redefining \cn{theequation} as follows will produce roman numerals.
+Chẳng hạn, các phương trình con được đánh số nhờ chữ cái |alphabet|
+(a,b,c,\ldots); để thay đổi điều này, sử dụng phương pháp chuẩn
+của \latex/ để thay đổi kiểu đánh số (xem trong \cite[\S6.3, \S C.8.4]{lamport}).
+Trong ví dụ dưới đây, các phương trình con sẽ được đánh chỉ số La Mã:
+
+\medskip
+\begin{verbatim}
+\begin{subequations}
+\renewcommand{\theequation}{\theparentequation \roman{equation}}
+...
+\end{verbatim}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\chapter{Miscellaneous mathematical features}
+\chapter{Linh tinh, nhưng quan trọng}
+
+\section{Ma trận}\label{ss:matrix}
+
+% The \pkg{amsmath} package provides some environments for
+% matrices\index{matrices} beyond the basic \env{array} environment of
+% \latex/.
+Gói \pkg{amsmath} cung cấp một số môi trường để biểu diễn ma trận
+tiện lợi hơn\footnote{|beyond|} môi trường \env{array} của \latex/.
+% The \env{pmatrix}, \env{bmatrix}, \env{Bmatrix}, \env{vmatrix}
+% and \env{Vmatrix} have (respectively) $(\,)$, $[\,]$, $\lbrace\,\rbrace$,
+% $\lvert\,\rvert$, and
+% $\lVert\,\rVert$ delimiters built in.
+Các môi trường \env{pmatrix}, \env{bmatrix}, \env{Bmatrix}, \env{vmatrix}
+và \env{Vmatrix} tự động có (tương tứng) cặp dấu ngoặc $(\,)$, $[\,]$,
+$\lbrace\,\rbrace$,
+$\lvert\,\rvert$, và $\lVert\,\rVert$ bao xung quanh.
+% For naming consistency there is a \env{matrix} environment sans delimiters.
+Ngoài ra, môi trường \env{matrix} cho một ma trận không có kèm dấu ngoặc nào.
+% This is not entirely redundant
+% with the \env{array} environment; the matrix environments all use more
+% economical horizontal spacing than the rather prodigal spacing of the
+% \env{array} environment.
+
+\medskip
+Các môi trường ma trận của \pkg{amsmath} sử dụng thuật toán
+điều chỉnh khoảng cách và canh cột tinh tế, tiết kiệm hơn cách làm hoang phí%
+\footnote{|prodigal|} của môi trường \env{array}.
+% Also, unlike the \env{array} environment, you
+% don't have to give column specifications for any of the matrix
+% environments; by default you can have up to 10 centered columns.%
+Hơn nữa, không giống như \env{array}, bạn không cần chỉ ra \emph{số cột}
+khi dùng các môi trường \env{-matrix}; theo mặc định, số cột tối đa của
+các ma trận là 10\mdash con số này có thể thay đổi được%
+\footnote{%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% More precisely: The maximum number of columns in a matrix is determined
+% by the counter |MaxMatrixCols| (normal value = 10), which you can change
+% if necessary using \latex/'s \cn{setcounter} or \cn{addtocounter}
+% commands.%
+\emph{Cụ thể hơn:} số tối đa các cột của ma trận được xác định bởi bộ đếm |MaxMatrixCols|
+(mặc định là 10); để thay đổi số này, bạn dùng các lệnh của \latex/ là
+\cn{setcounter} hoặc \cn{addtocounter}.
+}.
+% (If you need left or right alignment in a column or other special
+% formats you must resort to \env{array}.)
+(Nếu bạn muốn canh phải, trái các cột hoặc muốn tinh chỉnh ma trận theo ý bạn,
+không còn cách nào khác hơn là bạn phải quay lại dùng môi trường \env{array}.)
+
+% To produce a small matrix suitable for use in text, there is a
+% \env{smallmatrix} environment (e.g.,
+\medskip
+Các ma trận cỡ nhỏ đặt xen vào biểu thức chung dòng được cho bởi
+môi trường \env{smallmatrix}. Ví dụ, ma trận
+\begin{math}
+\bigl( \begin{smallmatrix}
+ a&b\\ c&d
+\end{smallmatrix} \bigr)
+\end{math}
+% that comes closer to fitting within a single text line than a normal
+% matrix.
+được bố trí vừa vẹn trên dòng này, tốt hẳn hơn so
+với khi bạn thay thế \env{smallmatrix} bởi \env{matrix}:
+% Delimiters must be provided; there are no |p|,|b|,|B|,|v|,|V|
+% versions of \env{smallmatrix}. The above example was produced by
+
+\medskip
+\begin{verbatim}
+\bigl( \begin{smallmatrix}
+ a&b\\ c&d
+\end{smallmatrix} \bigr)
+\end{verbatim}
+
+\medskip
+Chú ý rằng các dấu ngoặc phải được chỉ ra khi dùng \env{smallmatrix};
+không có các biến thể |p|,|b|,|B|,|v|,|V| của \env{smallmatrix}.
+
+% \cn{hdotsfor}|{|\<number>|}| produces a row of dots in a
+% matrix\index{matrices!ellipsis dots}\index{ellipsis dots!in
+% matrices}\index{dots|see{ellipsis dots}} spanning the given number of
+% columns. For example,
+\medskip
+Có một lệnh hết sức tiện lợi, là \cn{hdotsfor}|{|\<number>|}|.
+Lệnh này sẽ sinh ra dãy các dấu chấm lửng trong matrix. Tham số
+của lệnh là số cột cần bỏ qua. Quan sát ví dụ dưới đây
+
+\medskip
+\begin{center}
+\begin{minipage}{.3\columnwidth}
+\noindent$\begin{matrix} a&b&c&d\\
+e&\hdotsfor{3} \end{matrix}$
+\end{minipage}%
+\qquad
+\begin{minipage}{.45\columnwidth}
+\begin{verbatim}
+\begin{matrix} a&b&c&d\\
+e&\hdotsfor{3} \end{matrix}
+\end{verbatim}
+\end{minipage}%
+\end{center}
+
+% The spacing of the dots can be varied through use of a square-bracket
+% option, for example, |\hdotsfor[1.5]{3}|. The number in square brackets
+% will be used as a multiplier (i.e., the normal value is 1.0).
+\medskip
+Khoảng cách giữa các dấu chấm cho bởi \cn{hdotsfor} có thể thay thế nhờ
+tham số bổ sung của lệnh; ví dụ: |\hdotsfor[1.5]{3}|. Con số trong ngoặc
+vuông (|[1.5]|) được dùng như một thừa số nhân; giá trị mặc định là 1.0.
+\begin{equation}\label{eq:D}
+\begin{pmatrix} D_1t&-a_{12}t_2&\dots&-a_{1n}t_n\\
+-a_{21}t_1&D_2t&\dots&-a_{2n}t_n\\
+\hdotsfor[2]{4}\\
+-a_{n1}t_1&-a_{n2}t_2&\dots&D_nt\end{pmatrix}
+\end{equation}
+
+\begin{verbatim}
+\begin{pmatrix} D_1t&-a_{12}t_2&\dots&-a_{1n}t_n\\
+-a_{21}t_1&D_2t&\dots&-a_{2n}t_n\\
+%
+\hdotsfor[2]{4}\\% tăng gấp đôi khoảng cách giữa các dấu chấm
+%
+-a_{n1}t_1&-a_{n2}t_2&\dots&D_nt\end{pmatrix}
+\end{verbatim}
+
+%\section{Math spacing commands}
+\section{Điều chỉnh khoảng cách}
+
+% The \pkg{amsmath} package slightly extends the set of math
+% spacing\index{horizontal space!in math mode} commands, as shown below.
+% Both the spelled-out and abbreviated forms of these commands are robust,
+% and they can also be used outside of math.
+Gói \pkg{amsmath} cung cấp tập hợp các lệnh điều chỉnh khoảng cách
+trong chế độ toán. Phiên bản rút gọn (lệnh ngắn) hoặc đầy đủ (lệnh dài) của
+các lệnh này đều có tính |robust| và có thể dùng bên ngoài chế độ toán.
+\begin{ctab}{lll|lll}
+Lệnh ngắn& Lệnh dài& Ví dụ & Lệnh ngắn& Lệnh dài& Ví dụ\\
+\hline
+\vstrut{2.5ex}
+& {\tiny (không khoảng cách)}& \spx{}& & {\tiny (không khoảng cách)} & \spx{}\\
+\cn{\,}& \cn{thinspace}& \spx{\,}&
+ \cnbang& \cn{negthinspace}& \spx{\!}\\
+\cn{\:}& \cn{medspace}& \spx{\:}&
+ & \cn{negmedspace}& \spx{\negmedspace}\\
+\cn{\;}& \cn{thickspace}& \spx{\;}&
+ & \cn{negthickspace}& \spx{\negthickspace}\\
+& \cn{quad}& \spx{\quad}\\
+& \cn{qquad}& \spx{\qquad}
+\end{ctab}
+% For the greatest possible control over math spacing, use \cn{mspace}
+% and `math units'. One math unit, or |mu|, is equal to 1/18 em. Thus to
+% get a negative \cn{quad} you could write |\mspace{-18.0mu}|.
+Tổng quát hơn, để điều chỉnh khoảng cách trong chế độ toán, bạn dùng
+lệnh \cn{mspace} và \emph{đơn vị toán}. \emph{Đơn vị toán},
+ký hiệu là |mu| (|math unit|), là đơn vị độ dài của \latex/ trong chế độ toán,
+bằng 1/18 em\footnote{Thế |em| là cái chi?}. Ví dụ,
+để có khoảng \cn{quad} âm, bạn có thể dùng |\mspace{-18.0mu}|.
+
+\section{Các dấu chấm}
+
+% For preferred placement of ellipsis dots (raised or on-line) in various
+% contexts there is no general consensus. It may therefore be considered a
+% matter of taste. By using the semantically oriented commands
+Vị trí của dấu ba chấm (phía trên dòng hay ở ngay chân dòng) trong các
+ngữ cảnh khác nhau thường không nhất quán, và có thể là vấn đề sở thích
+cá nhân. Bằng cách sử dụng các lệnh
+\begin{itemize}
+\item \cn{dotsc} cho \qq{dấu ba chấm đi với dấu phảy}
+\item \cn{dotsb} cho \qq{dấu ba chấm đi với toán tử nhị phân/quan hệ}
+\item \cn{dotsm} cho \qq{dấu ba chấm đi trong biểu thức nhân}
+\item \cn{dotsi} cho \qq{dấu ba chấm đi trong biểu thức tích phân}
+\item \cn{dotso} cho \qq{dấu ba chấm cho mọi trường hợp còn lại}
+\end{itemize}
+% instead of \cn{ldots} and \cn{cdots},
+thay vì dùng \cn{ldots} và \cn{cdots},
+% you make it possible for your
+% document to be adapted to different conventions on the fly, in case (for
+% example) you have to submit it to a publisher who insists on following
+% house tradition in this respect.
+bạn có thể làm cho mã nguồn \TeX\ của tài liệu trở nên trong sáng hơn,
+dễ chỉnh sửa hơn khi cần thiết (chẳng hạn theo yêu cầu của nhà xuất bản).
+Định nghĩa của các lệnh ở trên là theo quy ước của Hội Toán học Mỹ (AMS).
+% The default treatment for the various
+% kinds follows American Mathematical Society conventions:
+
+\medskip
+\begin{center}
+\begin{tabular}{@{}l@{}l@{}}
+\begin{minipage}[t]{.54\textwidth}
+\begin{verbatim}
+Ta có chuỗi $A_1, A_2, \dotsc$,
+tổng vô hạn $A_1 +A_2 +\dotsb $,
+tích vô hạn $A_1 A_2 \dotsm $,
+và tích phân không xác định
+\[\int_{A_1}\int_{A_2}\dotsi\]
+\end{verbatim}
+\end{minipage}
+&
+\begin{minipage}[t]{.45\textwidth}
+\noindent
+Ta có chuỗi $A_1, A_2, \dotsc$,
+tổng vô hạn $A_1 +A_2 +\dotsb $,
+tích vô hạn $A_1 A_2 \dotsm $,
+và tích phân không xác định
+\[\int_{A_1}\int_{A_2}\dotsi\]
+\end{minipage}
+\end{tabular}
+\end{center}
+
+%\section{Nonbreaking dashes}
+\section{Gạch ngang không vỡ}
+
+% A command \cn{nobreakdash} is provided to suppress the possibility
+% of a linebreak after the following hyphen or dash.
+Lệnh \cn{nobreakdash} giúp ta hạn chế sự ngắt dòng sau một dấu |hyphen|
+hoặc sau dấu gạch ngang.
+% For example, if you
+% write `pages 1\ndash 9' as |pages 1\nobreakdash--9| then a linebreak will
+% never occur between the dash and the 9. You can also use
+% \cn{nobreakdash} to prevent undesirable hyphenations in combinations
+% like |$p$-adic|. For frequent use, it's advisable to make abbreviations,
+% e.g.,
+Ví dụ, nếu bạn viết `các trang 1\ndash 9' bằng cách dùng |các trang 1\nobreakdash--9|
+thì việc ngắt dòng sẽ không bao giờ xảy ra giữa dấu gạch ngang và số 9.
+Bạn cũng có thể dùng \cn{nobreakdash} để hạn chế việc tách chữ (|hyphenation|)
+ngoài ý muốn, ví dụ trong tổ hợp |$p$-adic|. Để tiện lợi, bạn có thể định
+nghĩa các lệnh tắt như sau:
+
+\medskip
+\begin{verbatim}
+\newcommand{\p}{$p$\nobreakdash}% cho "\p-adic"
+\newcommand{\Ndash}{\nobreakdash--}% cho "các trang 1\Ndash 9"
+% Cho không gian "\n chiều" ("n-chiều"):
+\newcommand{\n}[1]{$n$\nobreakdash-\hspace{0pt}}
+\end{verbatim}
+% The last example shows how to prohibit a linebreak after the hyphen but
+% allow normal hyphenation in the following word. (It suffices to add a
+% zero-width space after the hyphen.)
+
+\medskip
+Ví dụ cuối cùng ở trên cho biết cách làm thế nào để ngăn cản ngắt dòng sau dấu
+|hyphen| nhưng cho phép tách chữ bình thường ở từ tiếp theo dấu |hyphen| đó.
+(Chỉ cần thêm một độ rộng 0 sau dấu |hyphen|.)
+
+%\section{Accents in math}
+\section{Dấu nhấn trong toán học}
+
+% In ordinary \LaTeX{} the placement of the second accent in doubled math
+% accents is often poor. With the \pkg{amsmath} package you
+% will get improved placement of the second accent:
+Thông thường, \latex/ khó có thể biểu diễn cho đẹp cùng lúc hai dấu nhấn
+trên một ký hiệu. Với gói \pkg{amsmath}, việc này khá hơn rất nhiều; ví dụ
+$\hat{\hat{A}}$ (cho bởi \cn{hat}|{\hat{A}}|).
+
+% The commands \cn{dddot} and \cn{ddddot} are available to produce triple
+% and quadruple dot accents in addition to the \cn{dot} and \cn{ddot}
+% accents already available in \latex/.
+\medskip
+Các lệnh \cn{dddot} và \cn{ddddot} biểu diễn hai và ba dấu chấm
+như là dấu nhấn, ví dụ $\dddot C$. Đây là các lệnh do \pkg{amsmath} cung cấp;
+còn \cn{dot} và \cn{ddot} là các lệnh của \latex/.
+
+% To get a superscripted hat or tilde character, load the \pkg{amsxtra}
+% package and use \cn{sphat} or \cn{sptilde}. Usage is \verb'A\sphat'
+% (note the absence of the \verb'^' character).
+\medskip
+Để có được chỉ số trên là dấu mũ hoặc dấu ngã, dùng gói \pkg{amsxtra}
+và các lệnh của gói này là \cn{sphat}, \cn{sptilde}. Ví dụ,
+$A\sphat$\space\space cho bởi \verb'A\sphat' (để ý ở đây ta không dùng dấu |^|).
+
+% To place an arbitrary symbol in math accent position, or to get under
+% accents, see the \pkg{accents} package by Javier Bezos.
+\medskip
+Để đặt ký hiệu bất kỳ vào vị trí của dấu nhấn, hoặc để có các dấu nhấn
+bên dưới, vui lòng xem tài liệu hướng dẫn gói \pkg{accents}(viết bởi Javier Bezos).
+
+%\section{Roots}
+\section{Căn số}
+
+% In ordinary \latex/ the placement of root indices is sometimes not so
+% good: $\sqrt[\beta]{k}$ (|\sqrt||[\beta]{k}|).
+Cách biểu diễn căn số của \latex/ nhiều khi không thật đẹp mắt, như
+trong ví dụ $\sqrt[\beta]{k}$ (cho bởi |\sqrt||[\beta]{k}|).
+% In the \pkg{amsmath} package \cn{leftroot} and \cn{uproot} allow you to adjust
+% the position of the root:
+Gói \pkg{amsmath} cung cấp các lệnh \cn{leftroot} (dịch qua trái) và \cn{uproot}
+(dịch lên trên)
+cho phép bạn điều chỉnh vị trí của bậc căn số%
+\footnote{bậc của căn số, ví dụ $\beta$ trong $\sqrt[\leftroot{-2}\uproot{2}\beta]{k}$.}.
+% ----------------------------------------------------------------------
+Chẳng hạn
+
+\medskip
+\begin{verbatim}
+\sqrt[\leftroot{-2}\uproot{2}\beta]{k}
+\end{verbatim}
+%will move the beta up and to the right:
+% $\sqrt[\leftroot{-2}\uproot{2}\beta]{k}$. The negative argument used
+% with \cn{leftroot} moves the $\beta$ to the right. The units are a small
+% amount that is a useful size for such adjustments.
+
+\medskip\noindent
+sẽ cho $\sqrt[\leftroot{-2}\uproot{2}\beta]{k}$. Nếu bạn dùng |dimension|
+âm làm tham số của \cn{leftroot} (như trong ví dụ trên),
+thì bậc căn số sẽ dịch chuyển qua phải.
+
+%\section{Boxed formulas}
+\section{Đóng khung biểu thức}
+
+% The command \cn{boxed} puts a box around its
+% argument, like \cn{fbox} except that the contents are in math mode:
+Biểu thức \cn{boxed} sẽ đóng khung chữ nhật quanh nội dung là tham số của nó;
+lệnh này tương tự như lệnh \cn{fbox}, nhưng nội dung của lệnh ở chế độ toán.
+\begin{equation}
+\boxed{\eta \leq C(\delta(\eta) +\Lambda_M(0,\delta))}
+\end{equation}
+\begin{verbatim}
+ \boxed{\eta \leq C(\delta(\eta) +\Lambda_M(0,\delta))}
+\end{verbatim}
+
+%\section{Over and under arrows}
+\section{Mũi tên bên trên, bên dưới}
+
+% Basic \latex/ provides \cn{overrightarrow} and \cn{overleftarrow}
+% commands. Some additional over and under arrow commands are provided
+% by the \pkg{amsmath} package to extend the set:
+\latex/ chuẩn chỉ cung cấp các mũi tên bên-trên-qua-trái hoặc bên-trên-qua-phải
+nhờ các lệnh \cn{overrightarrow}, \cn{overleftarrow}. Dưới đây là các dạng
+mũi tên khác do gói \pkg{amsmath} cung cấp.
+
+\begin{tabbing}
+\qquad\=\ncn{overleftrightarrow}\qquad\=\kill
+\> \cn{overleftarrow} \> \cn{underleftarrow} \+\\
+ \cn{overrightarrow} \> \cn{underrightarrow} \\
+ \cn{overleftrightarrow}\> \cn{underleftrightarrow}
+\end{tabbing}
+
+Ví dụ, \cn{overleftarrow}|{XYZ}| sẽ cho bạn $\overleftarrow{XYZ}$.
+
+%\section{Extensible arrows}
+%\section{Mũi tên có chỉ số. Bổ sung của ccc}
+\section{Mũi tên có chỉ số.}
+
+% \cn{xleftarrow} and \cn{xrightarrow} produce
+% arrows\index{arrows!extensible} that extend automatically to accommodate
+% unusually wide subscripts or superscripts. These commands take one
+% optional argument (the subscript) and one mandatory argument (the
+% superscript, possibly empty):
+Các lệnh \cn{xleftarrow} và \cn{xrightarrow} cho ta các mũi tên \emph{tự động
+điều chỉnh độ dài cho bằng với nội dung của chỉ số trên hoặc dưới}.
+Tham số bổ sung của hai lệnh này là chỉ số dưới, còn tham số bắt buộc
+là chỉ số trên. Cả chỉ số trên và chỉ số dưới của hai lệnh này đều có thể rỗng.
+\begin{equation}
+A\xleftarrow{n+\mu-1}B \xrightarrow[T]{n\pm i-1}C
+\end{equation}
+\begin{verbatim}
+A\xleftarrow{n+\mu-1}B \xrightarrow[T]{n\pm i-1}C
+\end{verbatim}
+
+%% \medskip
+%% Để có chẳng hạn,
+%% \begin{equation}
+%% A\xlongequal[ccc]{\text{theo (1)}}B,\qquad
+%% A\xLongrightarrow{\text{theo Tiên đề 2}}B,
+%% \end{equation}
+%% bạn có thể dùng gói \pkg{ccc-arrows} (của |ccc|;
+%% tải về: \url{http://vntex.org/download}).
+
+%\section{Affixing symbols to other symbols}
+\section{Gắn các ký hiệu với nhau}
+
+% \latex/ provides \cn{stackrel} for placing a
+% superscript\index{subscripts and superscripts} above a binary relation.
+% In the \pkg{amsmath} package there are somewhat more general commands,
+% \cn{overset} and \cn{underset}, that can be used to place one symbol
+% above or below another symbol, whether it's a relation or something
+% else. The input |\overset{*}{X}| will place a superscript-size $*$ above
+% the $X$: $\overset{*}{X}$; \cn{underset} is the analog for adding a
+% symbol underneath.
+\latex/ cung cấp lệnh \cn{stackrel} để đặt chỉ số trên cho các quan hệ (toán tử)
+nhị phân. Với gói \pkg{amsmath}, các lệnh \cn{overset} và \cn{underset}
+còn làm được việc tổng quát hơn: đặt một ký hiệu bên trên hoặc bên dưới
+một ký hiệu khác, bất kể ký hiệu đó có phải là toán tử nhị phân hay không.
+Ví dụ, với |\overset{*}{X}| sẽ đặt dấu sao $*$ bên trên chữ $X$:
+$\overset{*}{X}$; lệnh \cn{underset} cũng tương tự, nhưng nó đặt chỉ số
+bên dưới ký hiệu.
+
+\medskip
+%See also the description of \cn{sideset} in \secref{sideset}.
+Xem thêm cách dùng \cn{sideset} ở Mục~\secref{sideset}.
+
+%\section{Fractions and related constructions}
+\section{Phân số và cấu trúc liên quan}
+
+\subsection{Các lệnh \cn{frac}, \cn{dfrac}, và \cn{tfrac}}
+
+% The \cn{frac} command, which is in the basic command set of
+% \latex/,\index{fractions} takes two arguments\mdash numerator and
+% denominator\mdash and typesets them in normal fraction form. The
+% \pkg{amsmath} package provides also \cn{dfrac} and \cn{tfrac} as
+% convenient abbreviations for |{\displaystyle\frac| |...| |}|
+% and\index{textstyle@\cn{textstyle}}\relax
+% \index{displaystyle@\cn{displaystyle}} |{\textstyle\frac| |...| |}|.
+Lệnh \cn{frac}, là lệnh cơ bản của \latex/, nhận hai tham số\mdash tử số
+và mẫu số\mdash và biểu diễn phân số theo kiểu thông thường trong toán học.
+Để ý rằng, các phân số ở chế độ toán chung dòng thường nhỏ; để khiến chúng
+to hơn, bạn dùng |\displaystyle\frac...|. Để tiện lợi,
+gói \pkg{amsmath} cung cấp thêm các lệnh: \cn{dfrac}, \cn{tfrac} lần lượt
+là dạng viết tắt của |{\displaystyle\frac| |...| |}| và
+|{\textstyle\frac| |...| |}|. Ví dụ
+\begin{equation}
+\frac{1}{k}\log_2 c(f)\quad\tfrac{1}{k}\log_2 c(f)\quad
+\sqrt{\frac{1}{k}\log_2 c(f)}\quad\sqrt{\dfrac{1}{k}\log_2 c(f)}
+\end{equation}
+\begin{verbatim}
+\begin{equation}
+\frac{1}{k}\log_2 c(f)\;\tfrac{1}{k}\log_2 c(f)\;
+\sqrt{\frac{1}{k}\log_2 c(f)}\;\sqrt{\dfrac{1}{k}\log_2 c(f)}
+\end{equation}
+\end{verbatim}
+
+%\subsection{The \cn{binom}, \cn{dbinom}, and \cn{tbinom} commands}
+\subsection{Ký hiệu Tổ hợp: \cn{binom}, \cn{dbinom}, \cn{tbinom}}
+
+% For binomial expressions\index{binomials} such as $\binom{n}{k}$
+% \pkg{amsmath} has \cn{binom}, \cn{dbinom} and \cn{tbinom}:
+Để biểu diễn tổ hợp dạng $\binom{n}{k}$, bạn dùng các lệnh
+\cn{binom}, \cn{dbinom} và \cn{tbinom}. Các tiếp vĩ ngữ |d| và |t|
+được hiểu tương tự như ở các lệnh về phân số.
+\begin{equation}
+2^k-\binom{k}{1}2^{k-1}+\dbinom{k}{2}2^{k-2}
+\end{equation}
+\begin{verbatim}
+2^k-\binom{k}{1}2^{k-1}+\binom{k}{2}2^{k-2}
+\end{verbatim}
+%
+%\subsection{The \cn{genfrac} command}
+\subsection{Tạo phân số tổng quát với \cn{genfrac}}
+
+% The capabilities of \cn{frac}, \cn{binom}, and their variants are
+% subsumed by a generalized fraction command \cn{genfrac} with six
+% arguments.
+Khả năng của các lệnh \cn{frac}, \cn{binom} và các biến thể có thể có
+được nhờ lệnh \cn{genfrac}. Đây là lệnh tạo phân số tổng quát với
+sáu tham số.
+% The last two correspond to \cn{frac}'s numerator and
+% denominator;
+Hai tham số cuối cùng của \cn{genfrac} lần lượt là \emph{tử số} và \emph{mẫu số};
+% the first two are optional delimiters (as seen in
+% \cn{binom});
+hai tham số bổ sung đầu tiên là các dấu ngoặc trái và phải (như trong
+kết quả của \cn{binom});
+% the third is a line thickness override (\cn{binom} uses
+% this to set the fraction line thickness to 0\mdash i.e., invisible);
+% and
+tham số thứ ba là độ dày của đường kẻ ngang giữa tử số và mẫu số (lệnh
+\cn{binom} dùng độ dày 0, nghĩa là \emph{không thấy được});
+% the fourth argument is a mathstyle override: integer values 0\ndash 3 select
+% respectively \cn{displaystyle}, \cn{textstyle}, \cn{scriptstyle}, and
+% \cn{scriptscriptstyle}. If the third argument is left empty, the line
+% thickness defaults to `normal'.
+tham số thứ tư xác định chế độ toán trong đó phân số được biểu diễn:
+tham số này nhận giá trị 0,1,2,3 tương ứng với các chế độ
+ \cn{displaystyle}, \cn{textstyle}, \cn{scriptstyle}, \cn{scriptscriptstyle}.
+
+\medskip
+\begin{center}\begin{minipage}{\columnwidth}
+\raggedright \normalfont\ttfamily \exhyphenpenalty10000
+\newcommand{\ma}[1]{%
+ \string{{\normalfont\itshape#1}\string}\penalty9999 \ignorespaces}
+\string\genfrac \ma{left-delim} \ma{right-delim} \ma{thickness}
+\ma{mathstyle} \ma{numerator} \ma{denominator}
+\end{minipage}\end{center}
+
+% To illustrate, here is how \cn{frac}, \cn{tfrac}, and
+% \cn{binom} might be defined.
+\medskip\noindent
+Ví dụ, các lệnh \cn{frac}, \cn{tfrac} và \cn{binom} có thể được định nghĩa như sau:
+
+\medskip
+\begin{verbatim}
+\newcommand{\frac}[2]{\genfrac{}{}{}{}{#1}{#2}}
+\newcommand{\tfrac}[2]{\genfrac{}{}{}{1}{#1}{#2}}
+\newcommand{\binom}[2]{\genfrac{(}{)}{0pt}{}{#1}{#2}}
+\end{verbatim}
+% If you find yourself repeatedly using \cn{genfrac} throughout a document
+% for a particular notation, you will do yourself a favor (and your
+% publisher) if you define a meaningfully-named abbreviation for that
+% notation, along the lines of \cn{frac} and \cn{binom}.
+
+% The primitive generalized fraction commands \cs{over}, \cs{overwithdelims},
+% \cs{atop}, \cs{atopwithdelims}, \cs{above}, \cs{abovewithdelims} produce
+% warning messages if used with the \pkg{amsmath} package, for reasons
+% discussed in \fn{technote.tex}.
+\medskip
+Các lệnh nguyên thủy \cn{over}, \cs{overwithdelims},
+\cs{atop}, \cs{atopwithdelims}, \cs{above}, \cs{abovewithdelims}
+khi dùng với gói \pkg{amsmath} sẽ sinh ra cảnh báo lỗi. Vui lòng
+xem thêm tài liệu \fn{technote.tex} có trong |texmf/source/latex/amsmath/|
+
+%\section{Continued fractions}
+\section{Phân số liên tục}
+
+Phân số liên tục\index{phân số liên tục}
+\begin{equation}
+\cfrac{1}{\sqrt{2}+
+ \cfrac{1}{\sqrt{2}+
+ \cfrac{1}{\sqrt{2}+\cdots
+}}}
+\end{equation}
+%can be obtained by typing
+có thể thu đựơc nhờ
+{\samepage
+\begin{verbatim}
+\cfrac{1}{\sqrt{2}+
+ \cfrac{1}{\sqrt{2}+
+ \cfrac{1}{\sqrt{2}+\dotsb
+}}}
+\end{verbatim}
+}% End of \samepage
+% This produces better-looking results than straightforward use of
+% \cn{frac}. Left or right placement of any of the numerators is
+% accomplished by using \cn{cfrac}|[l]| or \cn{cfrac}|[r]| instead of
+% \cn{cfrac}.
+\medskip\noindent
+Việc dùng \cn{cfrac} cho kết quả dễ nhìn hơn so với khi bạn tạo phân số
+liên tục bằng \cn{frac}. Bạn có thể đặt vị trí của tử số ở bên trái hoặc
+bên phải tùy ý, bằng cách dùng \cn{cfrac}|[l]| hoặc \cn{cfrac}|[r]| thay vì
+\cn{cfrac}.
+
+%\section{Smash options}
+\section{Lệnh \cn{smash} đặt độ cao/sâu về 0}
+
+% The command \cn{smash} is used to typeset a subformula with an effective height and depth of zero, which is sometimes
+% useful in adjusting the subformula's position with respect to adjacent
+% symbols.
+Lệnh \cn{smash} khiến cho các biểu thức con có chiều cao (|heigth|) và chiều
+sâu (|depth|) bằng 0; việc dùng biểu thức con như vậy rất có hữu ích,
+chẳng hạn khi điều chỉnh vị trí của biểu thức con theo các ký hiệu.
+% With the \pkg{amsmath} package \cn{smash} has optional
+% arguments |t| and |b|, because occasionally it is advantageous to be
+% able to \qq{smash} only the top or only the bottom of something while
+% retaining the natural depth or height.
+Gói \pkg{amsmath} cung cấp lệnh \cn{smash} với tham số tùy chọn là |t|
+và |b|, bởi đôi khi ta chỉ cần làm cho chiều cao (ứng với |t|) hoặc
+chiều sâu (ứng với |b|) trở về 0.
+% For example, when adjacent
+% radical symbols are unevenly sized or positioned because of differences
+% in the height and depth of their contents, \cn{smash} can be employed to
+% make them more consistent. Compare
+
+\medskip
+Ví dụ, chiều cao của các dấu căn bậc hai trong một biểu thức
+không bằng nhau vì chiều cao đó tùy thuộc vào nội dung bên dưới dấu căn.
+(Xem ở độ phóng đại lớn,) bạn sẽ thấy dấu căn trong $\sqrt y$ trong biểu thức
+$\sqrt{x}+\sqrt{y}+\sqrt{z}$ đi xuống phía dưới chân dòng hơn so với
+hai dấu căn còn lại. Ta sẽ dùng \cn{smash[b]} để đặt độ sâu của chữ $y$
+về 0, nhờ đó, dấu căn trong $\sqrt y$ sẽ giống hệt dấu căn trong $\sqrt x$:
+
+\medskip
+\verb"$\sqrt{x}" \verb"+"
+\verb"\sqrt{"\5\verb"\smash[b]{y}}" \verb"+" \verb"\sqrt{z}$".
+
+\medskip\noindent
+Bây giờ, bạn có $\sqrt{x}+\sqrt{\smash[b]{y}}+\sqrt{z}$. Bạn có thấy
+sự khác biệt ở biểu thức này với biểu thức trước kia không?
+
+%\section{Delimiters}
+%
+\section{Dấu ngoặc}
+
+\subsection{Kích cỡ dấu ngoặc}\label{bigdel}
+
+% The automatic delimiter sizing done by \cn{left} and \cn{right} has two
+% limitations: First, it is applied mechanically to produce delimiters
+% large enough to encompass the largest contained item, and second, the
+% range of sizes is not even approximately continuous but has fairly large
+% quantum jumps.
+Việc dùng dấu ngoặc tự động điều chỉnh kích cỡ với \cn{left} và \cn{right}
+có hai hạn chế: \emph{thứ nhất,} các lệnh này máy móc điều chỉnh cho dấu ngoặc
+có chiều cao vừa bằng với chiều cao của nội dung cao nhất,
+và \emph{thứ hai,} tập hợp các kích cỡ do chúng tạo ra không biến thiên
+đều đặn, mà có những bước nhảy quá lớn\footnote{\emph{Nghĩa là:} hai dấu ngoặc kế tiếp nhau
+trong cùng biểu thức tạo bởi \cn{left} hoặc \cn{right} có thể có chiều cao
+chênh nhau đến 3pt hoặc nhiều hơn, và như thế sẽ quá xấu!}.
+% This means that a math fragment that is infinitesimally
+% too large for a given delimiter size will get the next larger size, a
+% jump of 3pt or so in normal-sized text.
+
+% There are two or three
+% situations where the delimiter size is commonly adjusted, using a set of
+% commands that have `big' in their names.
+\medskip
+Trong thực tế, thường có hai hoặc ba trường hợp ta cần điều chỉnh kích cỡ
+của dấu ngoặc nhờ vào các lệnh `big' của gói \pkg{amsmath}.
+\begin{ctab}{l|llllll}
+Cỡ&
+Cỡ& \ncn{left}& \ncn{bigl}& \ncn{Bigl}& \ncn{biggl}& \ncn{Biggl}\\
+ngoặc&
+|text|& \ncn{right}& \ncn{bigr}& \ncn{Bigr}& \ncn{biggr}& \ncn{Biggr}\\
+\hline
+Kết quả\vstrut{5ex}&
+ $\displaystyle(b)(\frac{c}{d})$&
+ $\displaystyle\left(b\right)\left(\frac{c}{d}\right)$&
+ $\displaystyle\bigl(b\bigr)\bigl(\frac{c}{d}\bigr)$&
+ $\displaystyle\Bigl(b\Bigr)\Bigl(\frac{c}{d}\Bigr)$&
+ $\displaystyle\biggl(b\biggr)\biggl(\frac{c}{d}\biggr)$&
+ $\displaystyle\Biggl(b\Biggr)\Biggl(\frac{c}{d}\Biggr)$
+\end{ctab}
+% The first kind of situation is a cumulative operator with limits above
+% and below. With \cn{left} and \cn{right} the delimiters usually turn out
+% larger than necessary, and using the |Big| or |bigg|
+% sizes\index{big@\cn{big}, \cn{Big}, \cn{bigg}, \dots\ delimiters}
+% instead gives better results:
+
+\emph{Trường hợp đầu tiên,} là khi xảy ra sự chồng chất (|cumulative|) các
+toán tử với chỉ số trên và dưới. Với \cn{left} và \cn{right}, các dấu ngoặc
+tạo ra thường lớn hơn nhiều so với ý muốn; việc dùng |Big| or |bigg| thay
+thế cho \cn{left} và \cn{right} cho kết quả khả quan hơn hẳn:
+\begin{equation*}
+\left[\sum_i a_i\left\lvert\sum_j x_{ij}\right\rvert^p\right]^{1/p}
+\quad\text{so với}\quad
+\biggl[\sum_i a_i\Bigl\lvert\sum_j x_{ij}\Bigr\rvert^p\biggr]^{1/p}
+\end{equation*}
+\begin{verbatim}
+\biggl[\sum_i a_i\Bigl\lvert\sum_j x_{ij}\Bigr\rvert^p\biggr]^{1/p}
+\end{verbatim}
+% The second kind of situation is clustered pairs of delimiters where
+% \cn{left} and \cn{right} make them all the same size (because that is
+% adequate to cover the encompassed material) but what you really want
+% is to make some of the delimiters slightly larger to make the nesting
+% easier to see.
+
+\medskip
+\emph{Trường hợp thứ hai,} là khi các dấu ngoặc lồng nhau liên tiếp.
+Trong trường hợp này, lệnh \cn{left} và \cn{right} cho ra các dấu ngoặc
+cùng một kích cỡ\footnote{%
+ because that is adequate to cover the encompassed material.},
+trong dấu ngoặc càng ở bên ngoài càng cần có kích thước lớn hơn.
+\begin{equation*}
+\left((a_1 b_1) - (a_2 b_2)\right)
+\left((a_2 b_1) + (a_1 b_2)\right)
+\quad\text{versus}\quad
+\bigl((a_1 b_1) - (a_2 b_2)\bigr)
+\bigl((a_2 b_1) + (a_1 b_2)\bigr)
+\end{equation*}
+\begin{verbatim}
+\left((a_1 b_1) - (a_2 b_2)\right)
+\left((a_2 b_1) + (a_1 b_2)\right)
+\quad\text{so với}\quad
+\bigl((a_1 b_1) - (a_2 b_2)\bigr)
+\bigl((a_2 b_1) + (a_1 b_2)\bigr)
+\end{verbatim}
+% The third kind of situation is a slightly oversize object in running
+% text, such as $\left\lvert\frac{b'}{d'}\right\rvert$ where the
+% delimiters produced by \cn{left} and \cn{right} cause too much line
+% spreading. In that case \ncn{bigl} and \ncn{bigr}\index{big@\cn{big},
+% \cn{Big}, \cn{bigg}, \dots\ delimiters} can be used to produce
+% delimiters that are slightly larger than the base size but still able to
+% fit within the normal line spacing:
+
+\medskip
+\emph{Trường hợp thứ ba,} là khi biểu diễn các biểu thức quá khổ trong một
+dòng, chẳng hạn biểu thức $\left\lvert\frac{b'}{d'}\right\rvert$ trong dòng này.
+Các dấu ngoặc tạo bởi \cn{left} và \cn{right}, như bạn thấy, sẽ làm cho dòng
+bị dãn quá nhiều theo chiều đứng. Khi đó, việc dùng \ncn{bigl} và \ncn{bigr}
+chỉ cho ra dấu ngoặc vừa đủ cao và nhờ đó dòng không bị v-dãn nhiều quá,
+như trong $\bigl\lvert\frac{b'}{d'}\bigr\rvert$.
+
+% In ordinary \latex/ \ncn{big}, \ncn{bigg}, \ncn{Big}, and \ncn{Bigg}
+% delimiters aren't scaled properly over the full range of \latex/ font
+% sizes. With the \pkg{amsmath} package they are.
+\medskip
+Các lệnh \ncn{big}, \ncn{bigg}, \ncn{Big} và \ncn{Bigg} mà \latex/ cung cấp
+không thay đổi kích cỡ dấu ngoặc một cách chính xác trong các kích cỡ |font|
+khác nhau của \latex/. Gói \pkg{amsmath} khắc phục nhược điểm đó.
+
+%\subsection{Vertical bar notations}
+\subsection{Ký hiệu $\rvert$}
+
+% The \pkg{amsmath} package provides commands \cn{lvert}, \cn{rvert},
+% \cn{lVert}, \cn{rVert} (compare \cn{langle}, \cn{rangle}) to address the
+% problem of overloading for the vert bar character \qc{\|}.
+Gói \pkg{amsmath} cung cấp các lệnh \cn{lvert}, \cn{rvert},
+\cn{lVert}, \cn{rVert} (so sánh với \cn{langle}, \cn{rangle}) nhằm
+giải quyết vấn đề trùng hợp ý nghĩa của ký tự \qc{\|}.
+% This character is currently used in \latex/ documents to represent a wide
+% variety of mathematical objects: the `divides' relation in a
+% number-theory expression like $p\vert q$, or the absolute-value
+% operation $\lvert z\rvert$, or the `such that' condition in set
+% notation, or the `evaluated at' notation $f_\zeta(t)\bigr\rvert_{t=0}$.
+Ký tự này được dùng trong tài liệu \latex/ để chỉ nhiều đối tượng
+toán học khác nhau: chỉ quan hệ `ước số' trong lý thuyết số, ví dụ như
+trong biểu thứ $p\vert q$; chỉ giá trị tuyệt đối $\lvert z\rvert$; hay
+là viết tắt của `sao cho' khi biểu diễn tập hợp; hoặc hàm ý `lấy giá trị tại'
+trong ký hiệu $f_\zeta(t)\bigr\rvert_{t=0}$.
+% The multiplicity of uses in itself is not so bad; what is bad, however,
+% is that fact that not all of the uses take the same typographical
+% treatment, and that the complex discriminatory powers of a knowledgeable
+% reader cannot be replicated in computer processing of mathematical
+% documents.
+Tính đa nghĩa của ký hiệu $\vert$ không phải là điều gì xấu; cái không
+hay là ở chỗ: không phải tất cả cách dùng của $\vert$ đều có cùng cách thể hiện
+xét về mặt in ấn (|typographical|), và sự phân biệt phức tạp của độc giả
+có kiến thức không thể nào thể hiện được trong |typeset|.
+% It is recommended therefore that there should be a one-to-one
+% correspondence in any given document between the vert bar character
+% \qc{\|} and a selected mathematical notation, and similarly for the
+% double-bar command \cn{\|}.
+Vì vậy, trong bất kỳ tài liệu nào, bạn cũng nên cho tương ứng ký tự \qc{\|}
+với một khái niệm toán học cụ thể; và cũng nên làm điều tương tự với ký tự
+\cn{\|}.
+% This immediately rules out the use of \qc{|}
+% and \ncn{\|}\index{"|@\cn{"\"|}} for delimiters, because left and right
+% delimiters are distinct usages that do not relate in the same way to
+% adjacent symbols;
+Điều này không bao gồm cách dùng \qc{|} và \ncn{\|}\index{"|@\cn{"\"|}}
+như các dấu ngoặc, bởi vì cách dùng dấu ngoặc trái hoặc phải khác hẳn với
+các cách dùng của $\vert$ như kể trên.
+% recommended practice is therefore to define suitable
+% commands in the document preamble for any paired-delimiter use of vert
+% bar symbols:
+
+\medskip
+Ví dụ, bạn nên định nghĩa
+\begin{verbatim}
+\providecommand{\abs}[1]{\lvert#1\rvert}
+\providecommand{\norm}[1]{\lVert#1\rVert}
+\end{verbatim}
+% whereupon the document would contain |\abs{z}| to produce $\lvert
+% z\rvert$ and |\norm{v}| to produce $\lVert v\rVert$.
+và suốt trong tài liệu của mình, bạn dùng |\abs{z}| để có
+$\lvert z\rvert$ và dùng |\norm{v}| để có $\lVert v\rVert$.
+
+%\chapter{Operator names}
+\chapter{Tên toán tử}
+
+%\section{Defining new operator names}
+\section{Định nghĩa toán tử mới}\label{s:opname}
+
+% Math functions\index{operator names}\relax \index{function
+% names|see{operator names}} such as $\log$, $\sin$, and $\lim$ are
+% traditionally typeset in roman type to make them visually more distinct
+% from one-letter math variables, which are set in math italic. The more
+% common ones have predefined names, \cn{log}, \cn{sin}, \cn{lim}, and so
+% forth, but new ones come up all the time in mathematical papers, so the
+% \pkg{amsmath} package provides a general mechanism for defining new
+% `operator names'. To define a math function \ncn{xxx} to work like
+% \cn{sin}, you write
+Các toán tử toán học như $\log$, $\sin$, $\lim$ theo truyền thống được
+|typeset| với kiểu chữ |roman| để có thể dễ dàng phân biệt chúng với
+các tên biến toán học (các tên biến được |typeset| với |font| nghiêng).
+Các toán tử thường gặp nhất là \cn{log}, \cn{sin}, \cn{lim},... đã được
+định nghĩa; còn các toán tử mới có thể định nghĩa dễ dàng nhờ lệnh
+\cn{DeclareMathOperator}. Lệnh này chỉ có thể đặt trong phần |preamble|
+của tài liệu. Chẳng hạn, để định nghĩa hàm số \ncn{tg} (là
+cách viết hàm số |tangement| theo kiểu Việt Nam), có thể dùng
+
+\begin{verbatim}
+\DeclareMathOperator{\tg}{tg}
+\end{verbatim}
+% whereupon ensuing uses of \ncn{xxx} will produce {\upshape xxx} in the
+% proper font and automatically add proper spacing\index{horizontal
+% space!around operator names} on either side when necessary, so that you
+% get $A\xxx B$ instead of $A\mathrm{xxx}B$. In the second argument of
+% \cn{DeclareMathOperator} (the name text), a pseudo-text mode prevails:
+% the hyphen character \qc{\-} will print as a text hyphen rather than a
+% minus sign and an asterisk \qc{\*} will print as a raised text asterisk
+% instead of a centered math star. (Compare
+% \textit{a}-\textit{b}*\textit{c} and $a-b*c$.) But otherwise the name
+% text is printed in math mode, so that you can use, e.g., subscripts and
+% superscripts there.
+nhờ đó, việc dùng \ncn{tg} sẽ cho ra $\tg$ với |font| chính xác
+đồng thời tự động thêm cách khoảng cách xung quanh toán tử {\upshape tg}
+khi cần thiết, nhờ đó, ta thu được $A(\tg x)B$ thay vì $A(\mathrm{tg}x)B$.
+
+% If the new operator should have subscripts and superscripts placed in
+% `limits' position above and below as with $\lim$, $\sup$, or $\max$, use
+\medskip
+Nếu toán tử mới cần các chỉ số trên và chỉ số dưới, như trong các toán tử
+$\lim$, $\sup$, or $\max$, thì bạn dụng dạng \qc{\*} của lệnh \cn{DeclareMathOperator}:
+% the \qc{\*} form of the \cn{DeclareMathOperator} command:
+
+\medskip
+\begin{verbatim}
+\DeclareMathOperator*{\Lim}{Lim}
+\end{verbatim}
+%See also the discussion of subscript placement in
+
+\medskip\noindent
+Xem thêm ở Mục~\ref{subplace} về việc đặt chỉ số dưới.
+
+\medskip
+%The following operator names are predefined:
+Các toán tử được định nghĩa trước là
+\begin{ctab}{rlrlrlrl}
+\cn{arccos}& $\arccos$ &\cn{deg}& $\deg$ & \cn{lg}& $\lg$ & \cn{projlim}& $\projlim$\\
+\cn{arcsin}& $\arcsin$ &\cn{det}& $\det$ & \cn{lim}& $\lim$ & \cn{sec}& $\sec$\\
+\cn{arctan}& $\arctan$ &\cn{dim}& $\dim$ & \cn{liminf}& $\liminf$ &\cn{sin}& $\sin$\\
+\cn{arg}& $\arg$ & \cn{exp}& $\exp$ & \cn{limsup}& $\limsup$ &\cn{sinh}& $\sinh$\\
+\cn{cos}& $\cos$ & \cn{gcd}& $\gcd$ & \cn{ln}& $\ln$ & \cn{sup}& $\sup$\\
+\cn{cosh}& $\cosh$ & \cn{hom}& $\hom$ & \cn{log}& $\log$ & \cn{tan}& $\tan$\\
+\cn{cot}& $\cot$ & \cn{inf}& $\inf$ & \cn{max}& $\max$ & \cn{tanh}& $\tanh$\\
+\cn{coth}& $\coth$ & \cn{injlim}& $\injlim$ &\cn{min}& $\min$\\
+\cn{csc}& $\csc$ & \cn{ker}& $\ker$ & \cn{Pr}& $\Pr$
+\end{ctab}
+\begin{ctab}{rlrl}
+\cn{varlimsup}& $\displaystyle\varlimsup$&
+ \cn{varinjlim}& $\displaystyle\varinjlim$\\
+\cn{varliminf}& $\displaystyle\varliminf$&
+ \cn{varprojlim}& $\displaystyle\varprojlim$
+\end{ctab}
+
+% There is also a command \cn{operatorname} such that using
+\medskip
+Ngoài ra, còn có lệnh \cn{operatorname}: ví dụ
+
+\medskip
+\begin{verbatim}
+\operatorname{abc}
+\end{verbatim}
+%in a math formula is equivalent to a use of \ncn{abc} defined by
+
+\medskip\noindent
+trong biểu thức toán học tương đương với việc khai báo nhờ
+\cn{DeclareMathOperator} rồi dùng \ncn{abc}. Lệnh \cn{operatorname}
+chỉ nên dùng nếu toán tử thi thoảng gặp trong tài liệu;
+còn nếu toán tử xuất hiện nhiều lần, bạn nên khai báo toán tử mới
+nhờ \cn{DeclareMathOperator}.
+% This may be occasionally useful for
+% constructing more complex notation or other purposes.
+
+\medskip
+%(Use the variant \cn{operatorname*} to get limits.)
+Để ý dùng \cn{operatorname*} trong trường hợp toán tử cần chỉ số.
+
+%\section{\cn{mod} and its relatives}
+\section{Ký hiệu Đồng dư}
+
+% Commands \cn{mod}, \cn{bmod}, \cn{pmod}, \cn{pod} are provided to deal
+% with the special spacing conventions of \qq{mod} notation. \cn{bmod} and
+% \cn{pmod} are available in \latex/, but with the \pkg{amsmath} package
+% the spacing of \cn{pmod} will adjust to a smaller value if it's used in
+% a non-display-mode formula. \cn{mod} and \cn{pod} are variants of
+% \cn{pmod} preferred by some authors; \cn{mod} omits the parentheses,
+% whereas \cn{pod} omits the \qq{mod} and retains the parentheses.
+Các lệnh \cn{mod}, \cn{bmod}, \cn{pmod}, \cn{pod} biểu diễn các ký hiệu
+đồng dư. Lệnh \cn{bmod} và \cn{pmod} đã có trong \latex/, nhưng trong gói
+\pkg{amsmath}, chúng được tinh chỉnh để cho ra khoảng cách tốt hơn trong
+các biểu thức chung dọng. Các lệnh \cn{mod} và \cn{pod} là biến thể của
+\cn{pmod}; lệnh \cn{mod} không tạo ra cặp dấu ngoặc đơn, trong khi lệnh
+\cn{pod} lại bỏ \qq{mod} và các thứ khác vào cặp dấu ngoặc.
+\begin{equation}
+\gcd(n,m\bmod n);\quad x\equiv y\pmod b;
+\quad x\equiv y\mod c;\quad x\equiv y\pod d
+\end{equation}
+\begin{verbatim}
+\gcd(n,m\bmod n);\quad x\equiv y\pmod b;
+\quad x\equiv y\mod c;\quad x\equiv y\pod d
+\end{verbatim}
+
+%\chapter{The \cn{text} command}
+\chapter{Lệnh \cn{text} chèn \texttt{text} vào biểu thức}\label{text}
+
+% The main use of the command \cn{text} is for words or
+% phrases\index{text fragments inside math} in a display. It is very
+% similar to the \latex/ command \cn{mbox} in its effects, but has a
+% couple of advantages. If you want a word or phrase of text in a
+% subscript, you can type |..._{\text{word or phrase}}|, which is slightly
+% easier than the \cn{mbox} equivalent: |..._{\mbox{\scriptsize| |word|
+% |or| |phrase}}|. The other advantage is the more descriptive name.
+Mục đích chính của lệnh \cn{text} là để chèn văn bản, |text| vào giữa
+các biểu thức toán học. Lệnh có tác dụng tương tự như lệnh \cn{mbox}
+của \latex/, nhưng dùng \cn{text} hay hơn ở nhiều điểm.
+Nếu bạn muốn văn bản thêm vào ở cỡ chữ |sub-script|, bạn có thể dùng
+|..._{\text{từ hoặc câu}}|, trong khi với \cn{mbox}, bạn phải dùng
+|..._{\mbox{\scriptsize| |từ| |hoặc| |câu}}|. Điểm hay khác, là tên của
+lệnh \cn{text} phản ánh được đầy đủ tác dụng của nó hơn lệnh \cn{mbox}.
+\begin{equation}
+f_{[x_{i-1},x_i]} \text{ là đơn điệu,}
+\quad i = 1,\dots,c+1
+\end{equation}
+\begin{verbatim}
+f_{[x_{i-1},x_i]} \text{ là đơn điệu,}
+\quad i = 1,\dots,c+1
+\end{verbatim}
+
+% \chapter{Integrals and sums}
+\chapter{Tích phân và Tổng}
+
+%\section{Multiline subscripts and superscripts}
+\section{Chỉ số trên/dưới nhiều dòng}
+
+% The \cn{substack} command can be used to produce a multiline subscript
+% or superscript:\index{subscripts and superscripts!multi-line}\relax
+% \index{superscripts|see{subscripts and superscripts}} for example
+Nhờ lệnh \cn{substack}, bạn biểu diễn các chỉ số trên, dưới với nhiều dòng.
+Ví dụ
+\begin{ctab}{ll}
+\begin{minipage}[t]{.6\columnwidth}
+\begin{verbatim}
+\sum_{\substack{
+ 0\le i\le m\\
+ 0<j<n}}
+ P(i,j)
+\end{verbatim}
+\end{minipage}
+&
+$\displaystyle
+\sum_{\substack{0\le i\le m\\ 0<j<n}} P(i,j)$
+\end{ctab}
+% A slightly more generalized form is the \env{subarray} environment which
+% allows you to specify that each line should be left-aligned instead of
+% centered, as here:
+Tổng quát hơn, môi trường \env{subarray} còn cho phép bạn canh trái các
+dòng của chỉ số trên/dưới, thay vì canh giữa như mặc định.
+Hãy để ý đến tham số |{l}| của \env{subaray} trong ví dụ dưới đây.
+\begin{ctab}{ll}
+\begin{minipage}[t]{.6\columnwidth}
+\begin{verbatim}
+\sum_{\begin{subarray}{l}
+ i\in\Lambda\\ 0<j<n
+ \end{subarray}}
+ P(i,j)
+\end{verbatim}
+\end{minipage}
+&
+$\displaystyle
+ \sum_{\begin{subarray}{l}
+ i\in \Lambda\\ 0<j<n
+ \end{subarray}}
+ P(i,j)$
+\end{ctab}
+
+%\section{The \cn{sideset} command}
+\section{Lệnh \cn{sideset}}\label{sideset}
+
+% There's also a command called \cn{sideset}, for a rather special
+% purpose: putting symbols at the subscript and
+% superscript\index{subscripts and superscripts!on sums} corners of a
+% large operator symbol such as $\sum$ or $\prod$. \emph{Note: this
+% command is not designed to be applied to anything other than sum-class symbols.} The prime
+% example is the case when you want to put a prime on a sum symbol. If
+% there are no limits above or below the sum, you could just use
+% \cn{nolimits}: here's
+Lệnh \cn{sideset} dùng cho mục đích đặc biệt, là đặt các ký hiệu vào
+vị trí của chỉ số trên và chỉ số dưới của các toán tử lớn như $\sum$ hay $\prod$.
+\emph{Chú ý rằng, lệnh này không có mục đích áp dụng vào các ký hiệu
+không thuộc lớp ký hiệu tổng.}
+Ví dụ dễ thấy nhất là khi bạn muốn có một dấu phảy để chỉ biến thể
+của ký hiệu tổng:
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% |\sum\nolimits' E_n| in display mode:
+\begin{equation}
+\sum\nolimits' E_n
+\end{equation}
+Để được như trên, bạn có thể dùng |\sum\nolimits' E_n|; ở đây, \cn{nolimits}
+phải được dùng, bởi nếu không, dấu phảy sẽ được đặt ở bên trên chứ không phải
+là góc trên-bên-phải của ký hiệu tổng. Nếu bạn làm như vậy, thì nảy ra
+vấn đề nan giải là, bây giờ khó có thể đặt thứ gì vào bên trên và bên dưới
+của $\sum$ nữa (bởi bạn đã dùng \cn{nolimits}). Cách giải quyết vấn đề này
+nhờ lệnh \cn{sideset} được minh họa trong ví dụ sau:
+% If, however, you want not only the prime but also something below or
+% above the sum symbol, it's not so easy\mdash indeed, without
+% \cn{sideset}, it would be downright difficult. With \cn{sideset}, you
+% can write
+
+\medskip
+\begin{ctab}{ll}
+\begin{minipage}[t]{.6\columnwidth}
+\begin{verbatim}
+\sideset{}{'}
+ \sum_{n<k,\;\text{$n$ odd}} nE_n
+\end{verbatim}
+\end{minipage}
+&$\displaystyle
+\sideset{}{'}\sum_{n<k,\;\text{$n$ odd}} nE_n
+$
+\end{ctab}
+% The extra pair of empty braces is explained by the fact that
+% \cn{sideset} has the capability of putting an extra symbol or symbols at
+% each corner of a large operator; to put an asterisk at each corner of a
+% product symbol, you would type
+Phải dùng cặp dấu ngoặc rỗng (|{}|) như trên, là bởi lệnh \cn{sideset}
+có khả năng đặt các ký hiệu vào bốn góc của toán tử lớn. Hãy học hỏi ví
+dụ rất thú vị sau đây:
+
+\medskip\begin{ctab}{ll}
+\begin{minipage}[t]{.6\columnwidth}
+\begin{verbatim}
+\sideset{_*^*}{_*^*}\prod_{n=1}^{\infty}
+\end{verbatim}
+\end{minipage}
+&$\displaystyle
+\sideset{_*^*}{_*^*}\prod_{n=1}^{\infty}
+$
+\end{ctab}
+
+%\section{Placement of subscripts and limits}
+\section{Vị trí của chỉ số dưới và `limit'}\label{subplace}
+
+% The default positioning for subscripts depends on the
+% base symbol involved. The default for sum-class symbols is
+% `displaylimits' positioning: When a sum-class symbol appears
+% in a displayed formula, subscript and superscript are placed in `limits'
+% position above and below, but in an inline formula, they are placed to
+% the side, to avoid unsightly and wasteful spreading of the
+% surrounding text lines.
+Vị trí mặc định của chỉ số dưới của ký hiệu phụ thuộc vào tính chất
+ký hiệu đó. Với các ký hiệu dạng tổng ($\sum$, $\prod$), vị trí đó
+là `displaylimits': nghĩ là, khi ký hiệu dạng tổng xuất hiện trong
+biểu thức riêng dòng, chỉ số trên và chỉ số dưới được bố trí bên trên
+hoặc bên dưới ký hiệu; còn nếu ký hiệu đó xuất hiện trong chế độ chung dòng,
+thì các chỉ số trên, dưới được đặt ở bên cạnh ký hiệu, nhằm tránh việc
+dãn dòng qua mức cần thiết.
+% The default for integral-class symbols is to have sub- and
+% superscripts always to the side, even in displayed formulas.
+% (See the discussion of the \opt{intlimits} and related options in
+% Section~\ref{options}.)
+Đối với các ký hiệu dạng tích phân, vị trí mặc định của các chỉ số luôn
+là ở bên cạnh ký hiệu, ngay cả trong các công thức riêng dòng.
+(Nhưng xem về tùy chọn \opt{intlimits} trong Mục~\ref{options}.)
+
+% Operator names such as $\sin$ or $\lim$ may have either `displaylimits'
+% or `limits' positioning depending on how they were defined. The standard
+% operator names are defined according to normal mathematical usage.
+\medskip
+Các toán tử như $\sin$, $\lim$ đều có vị trí chỉ số thuộc loại
+`displaylimits' hay `limits' tùy theo cách chúng được định nghĩa,
+và điều đã được chọn theo thói quen phổ biến trong giới toán học.
+
+% The commands \cn{limits} and \cn{nolimits} can be used to override the
+% normal behavior of a base symbol:
+\medskip
+Các lệnh \cn{limits} và \cn{nolimits} dùng để bật qua lại giữa hai chế
+độ đặt vị trí chỉ số:
+\begin{equation*}
+\sum\nolimits_X,\qquad \iint\limits_{A},
+\qquad\varliminf\nolimits_{n\to \infty}
+\end{equation*}
+\begin{verbatim}
+\sum\nolimits_X,\qquad \iint\limits_{A},
+\qquad\varliminf\nolimits_{n\to \infty}
+\end{verbatim}
+
+% To define a command whose subscripts follow the
+% same `displaylimits' behavior as \cn{sum}, put
+% \cn{displaylimits} at the tail end of the definition. When multiple
+% instances of \cn{limits}, \cn{nolimits}, or \cn{displaylimits} occur
+% consecutively, the last one takes precedence.
+\medskip
+Để định nghĩa một lệnh mới mà chỉ số dưới của nó có thuộc tính
+`displaylimits', bạn đặt lệnh \cn{displaylimits} và cuối định nghĩa
+của lệnh. Trong dãy gồm các lệnh \cn{limits}, \cn{nolimits}, \cn{displaylimits}
+tiếp nhau, thì lệnh cuối cùng có tác dụng ưu tiên.
+
+%\section{Multiple integral signs}
+\section{Dấu tích phân bội}
+
+% \cn{iint}, \cn{iiint}, and \cn{iiiint} give multiple integral
+% signs\index{integrals!multiple} with the spacing between them nicely
+% adjusted, in both text and display style. \cn{idotsint} is an extension
+% of the same idea that gives two integral signs with dots between them.
+Các lệnh \cn{iiint}, \cn{iiint} và \cn{iiiint} cho ta các dấu tích phân bội
+với khoảng cách giữa các dấu tích phân được tinh chỉnh tốt hơn.
+Lệnh \cn{idotsint} cho ta dấu tích phân bội với số lớp tùy ý.
+\begin{gather}
+\iint\limits_A f(x,y)\,dx\,dy\qquad\iiint\limits_A
+f(x,y,z)\,dx\,dy\,dz\\
+\iiiint\limits_A
+f(w,x,y,z)\,dw\,dx\,dy\,dz\qquad\idotsint\limits_A f(x_1,\dots,x_k)
+\end{gather}
+
+%\chapter{Commutative diagrams}
+\chapter{Biểu đồ giao hoán}\label{s:commdiag}
+
+% Some commutative diagram commands like the ones in \amstex/ are
+% available as a separate package, \pkg{amscd}. For complex commutative
+% diagrams authors will need to turn to more comprehensive packages like
+% \pkg{kuvio} or \xypic/, but for simple diagrams without diagonal
+% arrows\index{arrows!in commutative diagrams} the \pkg{amscd} commands
+% may be more convenient. Here is one example.
+Một số lệnh tạo biểu đồ giao hoán như trong \amstex/ được gộp thành
+gói riêng biệt, là \pkg{amscd}. Với các biểu đồ phức tạp, bạn nên dùng gói
+chuyên dụng hơn là \pkg{kuvio} hoặc \pkg{xypic}; nhưng với các biểu đồ
+đơn giản, không có các mũi tên chéo, thì dùng gói \pkg{amscd} sẽ nhanh
+chóng cho kết quả. Dưới đây là ví dụ.
+\begin{equation*}
+\begin{CD}
+S^{{\mathcal{W}}_\Lambda}\otimes T @>j>> T\\
+@VVV @VV{\End P}V\\
+(S\otimes T)/I @= (Z\otimes T)/J
+\end{CD}
+\end{equation*}
+\begin{verbatim}
+\begin{CD}
+S^{{\mathcal{W}}_\Lambda}\otimes T @>j>> T\\
+@VVV @VV{\End P}V\\
+(S\otimes T)/I @= (Z\otimes T)/J
+\end{CD}
+\end{verbatim}
+% In the \env{CD} environment the commands |@>>>|,
+% |@<<<|, |@VVV|, and |@AAA| give respectively right, left, down, and up
+% arrows. For the horizontal arrows, material between the first and second
+% |>| or |<| symbols will be typeset as a superscript, and material
+% between the second and third will be typeset as a subscript. Similarly,
+% material between the first and second or second and third |A|s or |V|s
+% of vertical arrows will be typeset as left or right \qq{sidescripts}.
+% The commands |@=| and \verb'@|' give horizontal and vertical double lines.
+% A \qq{null arrow} command |@.| can be used instead of a visible arrow
+% to fill out an array where needed.
+Trong môi trường \env{CD}, các lệnh |@>>>|, |@<<<|, |@VVV| và |@AAA|
+lần lượt cho các mũi tên qua phải, trái, xuống, lên. Với các mũi tên ngang,
+mọi thứ đặt giữa hai ký hiệu |>| hoặc |<| đầu tiên sẽ được xem là chỉ số trên,
+các đối tượng đặt giữa ký hiệu thứ hai và thứ ba được xem là chỉ số dưới.
+Tương tự, đối tượng đặt giữa ký hiệu |A| hay |V| thứ nhất và thứ hai
+sẽ là chỉ số bên trái, còn đối tượng đặt giữa ký hiệu |A| hay |V| thứ nhì và
+thứ ba sẽ là chỉ số bên phải. Các lệnh |@=| và \verb'@|'
+sẽ cho các đường-ngang-kép và đường-đứng-kép. Một \qq{mũi tên rỗng}
+được cho bởi lệnh |@.|.
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\chapter{Using math fonts}
+\chapter{Sử dụng `font' toán}
+
+\section{Giới thiệu}
+
+% For more comprehensive information on font use in \latex/, see the
+% \latex/ font guide (\fn{fntguide.tex}) or \booktitle{The \latex/
+% Companion} \cite{tlc}. The basic set of math font commands\index{math
+% fonts}\relax \index{math symbols|see{math fonts}} in \latex/ includes
+% \cn{mathbf}, \cn{mathrm}, \cn{mathcal}, \cn{mathsf}, \cn{mathtt},
+% \cn{mathit}. Additional math alphabet commands such as
+% \cn{mathbb} for blackboard bold, \cn{mathfrak} for Fraktur, and
+% \cn{mathscr} for Euler script are available through the packages
+% \pkg{amsfonts} and \pkg{euscript} (distributed separately).
+Mọi vấn đề về |font| có thể tìm thấy trong hướng dẫn (\fn{fntguide.tex})
+hoặc \booktitle{The \latex/ Companion} \cite{tlc}.
+
+\medskip
+Các lệnh cơ bản (của \latex/)
+điều chỉnh |font| trong chế độ toán bao gồm:
+\cn{mathbf}, \cn{mathrm}, \cn{mathcal}, \cn{mathsf}, \cn{mathtt}, \cn{mathit}.
+Ngoài ra, gói \pkg{amsfonts} cung cấp các lệnh đặc biệt:
+\cn{mathbb} cho kiểu `blackboard bold' ($\mathbb R$),
+\cn{mathfrak} cho kiểu `Fraktur' ($\mathfrak R$).
+% và \cn{mathscr} cho kiểu `Euler-script' ($\mathscr r$).
+
+%\section{Recommended use of math font commands}
+\section{Lời khuyên}
+
+% If you find yourself employing math font commands frequently in your
+% document, you might wish that they had shorter names, such as \ncn{mb}
+% instead of \cn{mathbf}. Of course, there is nothing to keep you from
+% providing such abbreviations for yourself by suitable \cn{newcommand}
+% statements. But for \latex/ to provide shorter names would actually be a
+% disservice to authors, as that would obscure a much better alternative:
+% defining custom command names derived from the names of the underlying
+% mathematical objects, rather than from the names of the fonts used to
+% distinguish the objects. For example, if you are using bold to indicate
+% vectors, then you will be better served in the long run if you define a
+% `vector' command instead of a `math-bold' command:
+Nếu bạn phải thường xuyên thay đổi kiểu |font| trong chế độ toán,
+bạn có thể nghĩ đến các định nghĩa vắn tắt, chẳng hạn, dùng \ncn{mb}
+thay vì \cn{mathbf}. Tất nhiên, không gì ngăn cản bạn làm điều đó,
+vì bạn có trong tay lệnh-tạo-định-nghĩa \cn{newcommand}. Nhưng với \latex/,
+việc đưa ra các dạng định nghĩa vắn tắt như vậy cần nên tránh, cần thay thế
+bởi giải pháp hay hơn: \emph{định nghĩa một lệnh dựa trên \emph{thuộc tính của
+đối tượng toán học}, hơn là dựa trên tên của |font| dùng để phân biệt
+các đối tượng.} Ví dụ, nếu bạn muốn dùng |font| đậm chỉ các véctơ, bạn
+nên định nghĩa một lệnh tạo véctơ với |font| đậm, hơn là định nghĩa một
+lệnh tạo |font| đậm để tạo véctơ; nhờ
+
+\medskip
+\begin{verbatim}
+ \newcommand{\vect}[1]{\mathbf{#1}}
+\end{verbatim}
+
+\medskip\noindent
+bạn có thể viết |\vect{a} + \vect{b}| để có $\vect{a}+\vect{b}$;
+bạn không nên dùng, chẳng hạn \cn{mb}|{a}|+\ncn{mb}|{b}| với lệnh \ncn{mb}
+là dạng viết tắt của \cn{mathbf}.
+% If you decide several months down the road that you want to use the bold
+% font for some other purpose, and mark vectors by a small over-arrow
+% instead, then you can put the change into effect merely by changing the
+% definition of \ncn{vect}; otherwise you would have to replace all
+% occurrences of \cn{mathbf} throughout your document, perhaps even
+% needing to inspect each one to see whether it is indeed
+% an instance of a vector.
+Sau một vài tháng chẳng hạn, bạn thấy cần phải dùng |font| đậm cho mục đích khác,
+chứ không phải để chỉ các véctơ, và muốn các véctơ bây giờ có thêm các mũi tên,
+thì bạn có thể dễ dàng thực hiện được ý đồ của mình nếu bạn dùng định nghĩa
+\cn{vect} để tạo véctơ; còn nếu ngược lại, bạn phải thay thế toàn bộ các lệnh
+\cn{mb} trong tài liệu của bạn\mdash điều này nguy hiểm ở chỗ, việc thay thế
+có thể ảnh hưởng đến các đối tượng không là véctơ nhưng được biểu diễn bằng
+\cn{mb}.
+
+% It can also be useful to assign distinct
+% command names for different letters of a particular font:
+\medskip
+Sẽ có ích nếu bạn tạo các lệnh mới để lấy ra các ký tự đặc biệt trong
+một |font| cụ thể nào đó, ví dụ
+
+\medskip
+\begin{verbatim}
+\DeclareSymbolFont{AMSb}{U}{msb}{m}{n}% or use amsfonts package
+\DeclareMathSymbol{\C}{\mathalpha}{AMSb}{"43}
+\DeclareMathSymbol{\R}{\mathalpha}{AMSb}{"52}
+\end{verbatim}
+
+% These statements would define the commands \cn{C} and \cn{R} to produce
+% blackboard-bold letters from the `AMSb' math symbols font. If you refer
+% often to the\break complex numbers or real numbers in your document, you
+% might find this method more convenient than (let's say) defining a
+% \ncn{field} command and writing\break |\field{C}|, |\field{R}|. But for
+% maximum flexibility and control, define such a \ncn{field} command and
+% then define \ncn{C} and \ncn{R} in terms of that
+% command:\index{mathbb@\cn{mathbb}}
+\medskip\noindent
+Các dòng ở trên định nghĩa các lệnh \cn{C}, \cn{R} để lấy ra ký hiệu
+`blackboard' từ bộ `AMSb' là |font| các ký hiệu. Nếu bạn thường xuyên
+làm việc với các trường số thực, phức, bạn có thể có một cách tiện lợi, là
+định nghĩa lệnh \ncn{field} và sau đó dùng |\field{C}|, |\field{R}|,...
+để có các trường số mong muốn. Nhưng để \emph{tăng tối đa tính uyển chuyển
+và khả năng điều khiển}, bạn hãy định nghĩa lệnh \ncn{field} rồi sau đó
+định nghĩa các lệnh \ncn{C}, \ncn{R} dựa trên \ncn{field} như sau:
+
+\medskip
+\begin{verbatim}
+\usepackage{amsfonts}% to get the \mathbb alphabet
+\newcommand{\field}[1]{\mathbb{#1}}
+\newcommand{\C}{\field{C}}
+\newcommand{\R}{\field{R}}
+\end{verbatim}
+
+%\section{Bold math symbols}
+\section{Các ký hiệu in đậm}
+
+% The \cn{mathbf} command is commonly used to obtain bold Latin letters in
+% math, but for most other kinds of math symbols it has no effect, or its
+% effects depend unreliably on the set of math fonts that are in use. For
+% example, writing
+Lệnh \cn{mathbf} thường được dùng để có được phiên bản đậm của các chữ cái
+trong chế độ toán, nhưng với hầu hết các ký hiệu toán khác (không phải là chữ cái),
+lệnh này không có tác dụng, hoặc có tác dụng nhưng kết quả
+của nó không có liên hệ chặt chẽ với |font| đang được dùng. Ví dụ, viết
+
+\medskip
+\begin{verbatim}
+\Delta \mathbf{\Delta}\mathbf{+}\delta \mathbf{\delta}
+\end{verbatim}
+
+\medskip\noindent
+sẽ cho bạn $\Delta \mathbf{\Delta}\mathbf{+}\delta \mathbf{\delta}$;
+%the \cn{mathbf} has no effect on the plus sign or the small delta.
+để ý rằng, trong kết quả thu được, các dấu cộng và dấu $\delta$ không
+bị ảnh hưởng bởi \cn{mathbf}.
+
+% The \pkg{amsmath} package therefore provides two additional commands,
+% \cn{boldsymbol} and \cn{pmb}, that can be applied to other kinds of math
+% symbols. \cn{boldsymbol} can be used for a math symbol that remains
+% unaffected by \cn{mathbf} if (and only if) your current math font set
+% includes a bold version of that symbol. \cn{pmb} can be used as a last
+% resort for any math symbols that do not have a true bold version
+% provided by your set of math fonts; \qq{pmb} stands for \qq{poor man's
+% bold} and the command works by typesetting multiple copies of the symbol
+% with slight offsets. The quality of the output is inferior, especially
+% for symbols that contain any hairline strokes. When the standard default set of
+% \latex/ math fonts are in use (Computer Modern), the only symbols that
+% are likely to require \cn{pmb} are large operator symbols like \cn{sum},
+% extended delimiter symbols, or the extra math symbols provided by
+% the \pkg{amssymb} package \cite{amsfonts}.
+\medskip
+Gói \pkg{amsmath} vì vậy cung cấp thêm hai lệnh mới, là
+\cn{boldsymbol} và \cn{pmb}; các lệnh này có tác dụng làm đậm mọi loại
+ký hiệu. Lệnh \cn{boldsymbol} có thể được dùng cho các ký hiệu toán không
+bị ảnh hưởng bởi lệnh \cn{mathbf} \emph{nếu và chỉ nếu} |font| toán
+đang dùng có phiên bản |đậm| tương ứng của ký hiệu đó. Lệnh \cn{pmb}
+được dùng, như là giải pháp cuối cùng, cho trường hợp lệnh \cn{boldsymbol}
+bất lực; \qq{pmb} là viết tắt của \qq{poor man's bold};
+nguyên lý làm việc của lệnh \cn{pmb} là |typeset| nhiều bản sao của
+ký hiệu và sắp xếp các bản sao đó sát bên nhau (giống như khi bạn
+dùng bút kẻ nhiều đường liên tiếp nhau trên giấy để có một đường đậm nét).
+Rõ ràng, chất lượng kết quả của lệnh \cn{pmb} là không tốt lắm, nhất là
+độ nét của ký hiệu. Trong khi bộ |font| chuẩn của \latex/ được dùng để
+|typeset| các biểu thức toán, là bộ |font| CM (Computer Modern), thì cần đến
+lệnh \cn{pmb} chỉ là các ký hiệu toán tử lớn, như \cn{sum},
+các dấu ngoặc quá cỡ, hay là các ký hiệu toán học bổ sung bởi gói
+\pkg{amssymb} (xem \cite{amsfonts}).
+
+% The following formula shows some of the results that are possible:
+\medskip
+Các biểu thức sau cho thấy một số kết quả khả dĩ:
+\begin{verbatim}
+A_\infty + \pi A_0
+\sim \mathbf{A}_{\boldsymbol{\infty}} \boldsymbol{+}
+ \boldsymbol{\pi} \mathbf{A}_{\boldsymbol{0}}
+\sim\pmb{A}_{\pmb{\infty}} \pmb{+}\pmb{\pi} \pmb{A}_{\pmb{0}}
+\end{verbatim}
+\begin{equation*}
+A_\infty + \pi A_0
+\sim \mathbf{A}_{\boldsymbol{\infty}} \boldsymbol{+}
+ \boldsymbol{\pi} \mathbf{A}_{\boldsymbol{0}}
+\sim\pmb{A}_{\pmb{\infty}} \pmb{+}\pmb{\pi} \pmb{A}_{\pmb{0}}
+\end{equation*}
+% If you want to use only the \cn{boldsymbol} command without loading the
+% whole \pkg{amsmath} package, the \pkg{bm} package is recommended (this
+% is a standard \latex/ package, not an AMS package; you probably have it
+% already if you have a 1997 or newer version of \latex/).
+
+\medskip\noindent
+Nếu bạn muốn dùng lệnh \cn{boldsymbol} độc lập mà không tải gói \pkg{amsmath},
+thì hãy dùng gói \pkg{bm}; đây là gói thuộc chuẩn \latex/, không thuộc bộ
+phân phối của các gói AMS. Gói này tích hợp trong bộ \latex/ phiên
+bản năm 1997 hoặc cao hơn.
+
+%\section{Italic Greek letters}
+\section{Các chữ cái Hy Lạp in nghiêng}
+
+% For italic versions of the capital Greek letters, the following commands
+% are provided:
+\begin{ctab}{rlrl}
+\cn{varGamma}& $\varGamma$& \cn{varSigma}& $\varSigma$\\
+\cn{varDelta}& $\varDelta$& \cn{varUpsilon}& $\varUpsilon$\\
+\cn{varTheta}& $\varTheta$& \cn{varPhi}& $\varPhi$\\
+\cn{varLambda}& $\varLambda$& \cn{varPsi}& $\varPsi$\\
+\cn{varXi}& $\varXi$& \cn{varOmega}& $\varOmega$\\
+\cn{varPi}& $\varPi$
+\end{ctab}
+
+%\chapter{Error messages and output problems}
+\newpage
+\chapter{Lỗi thường gặp khi dùng gói \pkg{amsmath}}
+
+\section{General remarks}
+
+This is a supplement to Chapter~8 of the \latex/ manual \cite{lamport} (first
+edition: Chapter~6). For the reader's convenience, the set of error
+messages discussed here overlaps somewhat with the set in that chapter,
+but please be aware that we don't provide exhaustive coverage here.
+The error messages are arranged in alphabetical order, disregarding
+unimportant text such as |! LaTeX Error:| at the beginning, and
+nonalphabetical characters such as \qc{\\}. Where examples are given, we
+show also the help messages that appear on screen when you respond to an
+error message prompt by entering |h|.
+
+There is also a section discussing some output errors, i.e., instances
+where the printed document has something wrong but there was no \latex/
+error during typesetting.
+
+\section{Error messages}
+
+\begin{error}{\begin{split} won't work here.}
+\errexa
+\begin{verbatim}
+! Package amsmath Error: \begin{split} won't work here.
+ ...
+
+l.8 \begin{split}
+
+? h
+\Did you forget a preceding \begin{equation}?
+If not, perhaps the `aligned' environment is what you want.
+?
+\end{verbatim}
+\errexpl
+The \env{split} environment does not construct a stand-alone displayed
+equation; it needs to be used within some other environment such as
+\env{equation} or \env{gather}.
+
+\end{error}
+
+\begin{error}{Extra & on this line}
+\errexa
+\begin{verbatim}
+! Package amsmath Error: Extra & on this line.
+
+See the amsmath package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+l.9 \end{alignat}
+
+? h
+\An extra & here is so disastrous that you should probably exit
+ and fix things up.
+?
+\end{verbatim}
+\errexpl
+In an \env{alignat} structure the number of alignment points per line
+is dictated by the numeric argument given after |\begin{alignat}|.
+If you use more alignment points in a line it is assumed that you
+accidentally left out a newline command \cn{\\} and the above error is
+issued.
+\end{error}
+
+\begin{error}{Improper argument for math accent}
+\errexa
+\begin{verbatim}
+! Package amsmath Error: Improper argument for math accent:
+(amsmath) Extra braces must be added to
+(amsmath) prevent wrong output.
+
+See the amsmath package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+l.415 \tilde k_{\lambda_j} = P_{\tilde \mathcal
+ {M}}
+?
+\end{verbatim}
+\errexpl
+Non-simple arguments for any \LaTeX{} command should be enclosed in
+braces. In this example extra braces are needed as follows:
+\begin{verbatim}
+... P_{\tilde{\mathcal{M}}}
+\end{verbatim}
+\end{error}
+
+\begin{error}{Font OMX/cmex/m/n/7=cmex7 not loadable ...}
+\errexa
+\begin{verbatim}
+! Font OMX/cmex/m/n/7=cmex7 not loadable: Metric (TFM) file not found.
+<to be read again>
+ relax
+l.8 $a
+ b+b^2$
+? h
+I wasn't able to read the size data for this font,
+so I will ignore the font specification.
+[Wizards can fix TFM files using TFtoPL/PLtoTF.]
+You might try inserting a different font spec;
+e.g., type `I\font<same font id>=<substitute font name>'.
+?
+\end{verbatim}
+\errexpl
+Certain extra sizes of some Computer Modern fonts that were formerly
+available mainly through the AMSFonts\index{AMSFonts collection}
+distribution are considered part of standard \latex/ (as of June 1994):
+\fn{cmex7}\ndash \texttt{9}, \fn{cmmib5}\ndash \texttt{9}, and
+\fn{cmbsy5}\ndash \texttt{9}. If these extra sizes are missing on your
+system, you should try first to get them from the source where you
+obtained \latex/. If that fails, you could try getting the fonts from
+CTAN (e.g., in the form of Metafont\index{Metafont source files} source
+files, directory \nfn{/tex-archive/fonts/latex/mf}, or in PostScript
+Type 1 format, directory
+\nfn{/tex-archive/fonts/cm/ps-type1/bakoma}\index{BaKoMa fonts}\relax
+\index{PostScript fonts}).
+
+If the font name begins with \fn{cmex}, there is a special option
+\fn{cmex10} for the \pkg{amsmath} package that provides a temporary
+workaround. I.e., change the \cn{usepackage} to
+\begin{verbatim}
+\usepackage[cmex10]{amsmath}
+\end{verbatim}
+This will force the use of the 10-point size of the \fn{cmex} font in
+all cases. Depending on the contents of your document this may be
+adequate.
+\end{error}
+
+\begin{error}{Math formula deleted: Insufficient extension fonts}
+\errexa
+\begin{verbatim}
+! Math formula deleted: Insufficient extension fonts.
+l.8 $ab+b^2$
+
+?
+\end{verbatim}
+\errexpl
+This usually follows a previous error |Font ... not loadable|; see the
+discussion of that error (above) for solutions.
+\end{error}
+
+\begin{error}{Missing number, treated as zero}
+\errexa
+\begin{verbatim}
+! Missing number, treated as zero.
+<to be read again>
+ a
+l.100 \end{alignat}
+
+? h
+A number should have been here; I inserted `0'.
+(If you can't figure out why I needed to see a number,
+look up `weird error' in the index to The TeXbook.)
+
+?
+\end{verbatim}
+\errexpl
+There are many possibilities that can lead to this error. However, one
+possibility that is relevant for the \pkg{amsmath} package is that you
+forgot to give the number argument of an \env{alignat} environment, as
+in:
+\begin{verbatim}
+\begin{alignat}
+ a& =b& c& =d\\
+a'& =b'& c'& =d'
+\end{alignat}
+\end{verbatim}
+where the first line should read instead
+\begin{verbatim}
+\begin{alignat}{2}
+\end{verbatim}
+
+Another possibility is that you have a left bracket character |[|
+following a linebreak command \cn{\\} in a multiline construction such
+as \env{array}, \env{tabular}, or \env{eqnarray}. This will be
+interpreted by \latex/ as the beginning of an `additional vertical
+space' request \cite[\S C.1.6]{lamport}, even if it occurs on the following
+line and is intended to be part of the contents. For example
+\begin{verbatim}
+\begin{array}
+a+b\\
+[f,g]\\
+m+n
+\end{array}
+\end{verbatim}
+To prevent the error message in such a case, you can
+add braces as discussed in the \latex/ manual \cite[\S C.1.1]{lamport}:
+\begin{verbatim}
+\begin{array}
+a+b\\
+{[f,g]}\\
+m+n
+\end{array}
+\end{verbatim}
+
+\end{error}
+
+\begin{error}{Missing \right. inserted}
+\errexa
+\begin{verbatim}
+! Missing \right. inserted.
+<inserted text>
+ \right .
+l.10 \end{multline}
+
+? h
+I've inserted something that you may have forgotten.
+(See the <inserted text> above.)
+With luck, this will get me unwedged. But if you
+really didn't forget anything, try typing `2' now; then
+my insertion and my current dilemma will both disappear.
+\end{verbatim}
+\errexpl
+This error typically arises when you try to insert a linebreak inside a
+\cn{left}-\cn{right} pair of delimiters in a \env{multline} or
+\env{split} environment:
+\begin{verbatim}
+\begin{multline}
+AAA\left(BBB\\
+ CCC\right)
+\end{multline}
+\end{verbatim}
+There are two possible solutions: (1)~instead of using \cn{left} and
+\cn{right}, use `big' delimiters of fixed size (\cn{bigl} \cn{bigr}
+\cn{biggl} \cn{biggr} \dots; see \secref{bigdel}); or (2)~use null
+delimiters to break up the \cn{left}-\cn{right} pair into parts for each
+line:
+\begin{verbatim}
+AAA\left(BBB\right.\\
+ \left.CCC\right)
+\end{verbatim}
+The latter solution may result in mismatched delimiter sizes;
+ensuring that they match requires using \cn{vphantom} in the line
+that has the smaller delimiter (or possibly \cn{smash} in the line that
+has the larger delimiter). In the argument of \cn{vphantom} put a copy
+of the tallest element that occurs in the other line, e.g.,
+\begin{verbatim}
+xxx \left(\int_t yyy\right.\\
+ \left.\vphantom{\int_t} zzz ... \right)
+\end{verbatim}
+\end{error}
+
+\begin{error}{Paragraph ended before \xxx was complete}
+\errexa
+\begin{verbatim}
+Runaway argument?
+
+! Paragraph ended before \multline was complete.
+<to be read again>
+ \par
+l.100
+
+? h
+I suspect you've forgotten a `}', causing me to apply this
+control sequence to too much text. How can we recover?
+My plan is to forget the whole thing and hope for the best.
+?
+\end{verbatim}
+\errexpl
+This might be produced by a misspelling in the |\end{multline}| command,
+e.g.,
+\begin{verbatim}
+\begin{multline}
+...
+\end{multiline}
+\end{verbatim}
+or by using abbreviations for certain environments, such as |\bal| and
+|\eal| for |\begin{align}| and |\end{align}|:
+\begin{verbatim}
+\bal
+...
+\eal
+\end{verbatim}
+For technical reasons that kind of abbreviation does not work with
+the more complex displayed equation environments of the \pkg{amsmath} package
+(\env{gather}, \env{align}, \env{split}, etc.; cf.\@ \fn{technote.tex}).
+\end{error}
+
+\begin{error}{Runaway argument?}
+See the discussion for the error message
+\texttt{Paragraph ended before \ncn{xxx} was complete}.
+\end{error}
+
+\begin{error}{Unknown option `xxx' for package `yyy'}
+\errexa
+\begin{verbatim}
+! LaTeX Error: Unknown option `intlim' for package `amsmath'.
+...
+? h
+The option `intlim' was not declared in package `amsmath', perhaps you
+misspelled its name. Try typing <return> to proceed.
+?
+\end{verbatim}
+\errexpl
+This means that you misspelled the option name, or the package simply
+does not have an option that you expected it to have. Consult the
+documentation for the given package.
+\end{error}
+
+\begin{error}{Old form `\pmatrix' should be \begin{pmatrix}.}
+\errexa
+\begin{verbatim}
+! Package amsmath Error: Old form `\pmatrix' should be
+ \begin{pmatrix}.
+
+See the amsmath package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+\pmatrix ->\left (\matrix@check \pmatrix
+ \env@matrix
+l.16 \pmatrix
+ {a&b\cr c&d\cr}
+? h
+`\pmatrix{...}' is old Plain-TeX syntax whose use is
+ill-advised in LaTeX.
+?
+\end{verbatim}
+\errexpl
+When the \pkg{amsmath} package is used, the old forms of \cn{pmatrix},
+\cn{matrix}, and \cn{cases} cannot be used any longer because of naming
+conflicts. Their syntax did not conform with standard \LaTeX{} syntax
+in any case.
+\end{error}
+
+\begin{error}{Erroneous nesting of equation structures}
+\errexa
+\begin{verbatim}
+! Package amsmath Error: Erroneous nesting of equation structures;
+(amsmath) trying to recover with `aligned'.
+
+See the amsmath package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+l.260 \end{alignat*}
+ \end{equation*}
+\end{verbatim}
+\errexpl
+The structures \env{align}, \env{alignat}, etc., are designed
+for top-level use and for the most part cannot be nested inside some
+other displayed equation structure. The chief exception is that
+\env{align} and most of its variants can be used inside the
+\env{gather} environment.
+\end{error}
+
+\section{Warning messages}
+
+\begin{error}{Foreign command \over [or \atop or \above]}
+\errexa
+\begin{verbatim}
+Package amsmath Warning: Foreign command \over; \frac or \genfrac
+(amsmath) should be used instead.
+\end{verbatim}
+\errexpl The primitive generalized fraction commands of \tex/\mdash
+\cs{over}, \cs{atop}, \cs{above}\mdash are deprecated when the
+\pkg{amsmath} package is used because their syntax is foreign to \latex/
+and \pkg{amsmath} provides native \latex/ equivalents. See
+\fn{technote.tex} for further information.
+\end{error}
+
+\begin{error}{Cannot use `split' here}
+\errexa
+\begin{verbatim}
+Package amsmath Warning: Cannot use `split' here;
+(amsmath) trying to recover with `aligned'
+\end{verbatim}
+\errexpl The \env{split} environment is designed to serve as the entire
+body of an equation, or an entire line of an \env{align} or \env{gather}
+environment. There cannot be any printed material before or
+after it within the same enclosing structure:
+\begin{verbatim}
+\begin{equation}
+\left\{ % <-- Not allowed
+\begin{split}
+...
+\end{split}
+\right. % <-- Not allowed
+\end{equation}
+\end{verbatim}
+\end{error}
+
+\section{Wrong output}
+
+\subsection{Section numbers 0.1, 5.1, 8.1 instead of 1, 2, 3}
+\label{numinverse}
+
+This most likely means that you have the arguments for \cn{numberwithin}
+in reverse order:
+\begin{verbatim}
+\numberwithin{section}{equation}
+\end{verbatim}
+That means `print the section number as \textit{equation
+number}.\textit{section number} and reset to 1 every time an equation
+occurs' when what you probably wanted was the inverse
+\begin{verbatim}
+\numberwithin{equation}{section}
+\end{verbatim}
+
+\subsection{The \cn{numberwithin} command had no effect on equation
+numbers}
+
+Are you looking at the first section in your document? Check the section
+numbers elsewhere to see if the problem is the one described in
+\secref{numinverse}.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%% \chapter{Additional information}
+%%%%
+%%%% \section{Converting existing documents}
+%%%%
+%%%% \subsection{Converting from plain \LaTeX{}}
+%%%%
+%%%% A \LaTeX{} document will typically continue to work the same in most
+%%%% respects if \verb'\usepackage{amsmath}' is added in the document
+%%%% preamble. By default, however, the \pkg{amsmath} package suppresses page
+%%%% breaks inside multiple-line displayed equation structures such as
+%%%% \env{eqnarray}, \env{align}, and \env{gather}. To continue allowing page
+%%%% breaks inside \env{eqnarray} after switching to \pkg{amsmath}, you will
+%%%% need to add the following line in your document preamble:
+%%%% \begin{verbatim}
+%%%% \allowdisplaybreaks[1]
+%%%% \end{verbatim}
+%%%% To ensure normal spacing around relation symbols, you might also want to
+%%%% change \env{eqnarray} to \env{align}, \env{multline}, or
+%%%% \env{equation}\slash\env{split} as appropriate.
+%%%%
+%%%% Most of the other differences in \pkg{amsmath} usage can be considered
+%%%% optional refinements, e.g., using
+%%%% \begin{verbatim}
+%%%% \DeclareMathOperator{\Hom}{Hom}
+%%%% \end{verbatim}
+%%%% instead of \verb'\newcommand{\Hom}{\mbox{Hom}}'.
+%%%%
+%%%% \subsection{Converting from \amslatex/ 1.1}
+%%%% See \fn{diffs-m.txt}.
+%%%%
+%%%% \section{Technical notes}
+%%%% The file \fn{technote.tex} contains some remarks on miscellaneous
+%%%% technical questions that are less likely to be of general interest.
+%%%%
+%%%% \section{Getting help}
+%%%%
+%%%% Questions or comments regarding \pkg{amsmath} and related packages
+%%%% should be sent to:
+%%%% \begin{infoaddress}
+%%%% American Mathematical Society\\
+%%%% Technical Support\\
+%%%% Electronic Products and Services\\
+%%%% P. O. Box 6248\\
+%%%% Providence, RI 02940\\[3pt]
+%%%% Phone: 800-321-4AMS (321-4267) \quad or \quad 401-455-4080\\
+%%%% Internet: \mail{tech-support@ams.org}
+%%%% \end{infoaddress}
+%%%% If you are reporting a problem you should include
+%%%% the following information to make proper investigation possible:
+%%%% \begin{enumerate}
+%%%% \item The source file where the problem occurred, preferably reduced
+%%%% to minimum size by removing any material that can be removed without
+%%%% affecting the observed problem.
+%%%% \item A \latex/ log file showing the error message (if applicable) and
+%%%% the version numbers of the document class and option files being used.
+%%%% \end{enumerate}
+%%%%
+%%%% \section{Of possible interest}\label{a:possible-interest}
+%%%% Information about obtaining AMSFonts or other \tex/-related
+%%%% software from the AMS Internet archive \fn{e-math.ams.org}
+%%%% can be obtained by sending a request through electronic mail to:
+%%%% \mail{webmaster@ams.org}.
+%%%%
+%%%% Information about obtaining the \pkg{amsmath} distribution on diskette
+%%%% from the AMS is available from:
+%%%% \begin{infoaddress}
+%%%% American Mathematical Society\\
+%%%% Customer Services\\
+%%%% P. O. Box 6248\\
+%%%% Providence, RI 02940\\[3pt]
+%%%% Phone: 800-321-4AMS (321-4267) \quad or \quad 401-455-4000\\
+%%%% Internet: \mail{cust-serv@ams.org}
+%%%% \end{infoaddress}
+%%%%
+%%%% The \tex/ Users Group\index{TeX Users@\tex/ Users Group} is a nonprofit
+%%%% organization that publishes a journal
+%%%% (\journalname{TUGboat}\index{TUGboat@\journalname{TUGboat}}), holds
+%%%% meetings, and serves as a clearing-house of general information about
+%%%% \tex/ and \tex/-related software.
+%%%% \begin{infoaddress}
+%%%% \tex/ Users Group\\
+%%%% PO Box 2311\\
+%%%% Portland, OR 97208-2311\\
+%%%% USA\\[3pt]
+%%%% Phone: +1-503-223-9994\\
+%%%% Email: \mail{office@tug.org}
+%%%% \end{infoaddress}
+%%%% Membership in the \tex/ Users Group is a good way to support continued
+%%%% development of free \tex/-related software. There are also many local
+%%%% \tex/ user groups in other countries; information about contacting a
+%%%% local user group can be gotten from the \tex/ Users Group.
+%%%%
+%%%% There is a Usenet newsgroup called \fn{comp.text.tex} that is a fairly
+%%%% good source of information about \latex/ and \tex/ in general. If you
+%%%% don't know about reading newsgroups, check with your local system
+%%%% administrator to see if newsgroup service is available at your site.
+
+\newpage
+
+\begin{thebibliography}{9}
+\addcontentsline{toc}{chapter}{Tài liệu tham khảo}
+
+\bibitem{amsfonts}\booktitle{AMSFonts version \textup{2.2}\mdash user's guide},
+Amer. Math. Soc., Providence, RI, 1994; distributed
+with the AMSFonts package.
+
+\bibitem{instr-l}\booktitle{Instructions for preparation of
+papers and monographs\mdash \amslatex/},
+Amer. Math. Soc., Providence, RI, 1996, 1999.
+
+\bibitem{amsthdoc}\booktitle{Using the \pkg{amsthm} Package},
+Amer. Math. Soc., Providence, RI, 1999.
+
+\bibitem{tlc} Michel Goossens, Frank Mittelbach, and Alexander Samarin,
+\booktitle{The \latex/ companion}, Addison-Wesley, Reading, MA, 1994.
+ [\emph{Note: The 1994 edition is not a reliable guide for the
+ \pkg{amsmath} package unless you refer to the errata for Chapter
+ 8\mdash file \fn{compan.err}, distributed with \LaTeX{}.}]
+
+% Deal with a line breaking problem
+\begin{raggedright}
+\bibitem{mil} G. Gr\"{a}tzer,
+\emph{Math into \LaTeX{}: An Introduction to \LaTeX{} and AMS-\LaTeX{}}
+ \url{http://www.ams.org/cgi-bin/bookstore/bookpromo?fn=91&arg1=bookvideo&itmc=MLTEX},
+Birkh\"{a}user, Boston, 1995.\par
+\end{raggedright}
+
+\bibitem{kn} Donald E. Knuth, \booktitle{The \tex/book},
+Addison-Wesley, Reading, MA, 1984.
+
+\bibitem{lamport} Leslie Lamport, \booktitle{\latex/: A document preparation
+system}, 2nd revised ed., Addison-Wesley, Reading, MA, 1994.
+
+\bibitem{msf} Frank Mittelbach and Rainer Sch\"opf,
+\textit{The new font family selection\mdash user
+interface to standard \latex/}, \journalname{TUGboat} \textbf{11},
+no.~2 (June 1990), pp.~297\ndash 305.
+
+\bibitem{jt} Michael Spivak, \booktitle{The joy of \tex/}, 2nd revised ed.,
+Amer. Math. Soc., Providence, RI, 1990.
+
+\end{thebibliography}
+
+%\begin{theindex}
+
+%\end{theindex}
+
+\end{document}
+
+% Local Variables:
+% coding: utf-8
+% eval: (set-input-method "vietnamese-viqr")
+% End:
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/README b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/README
new file mode 100644
index 00000000000..6b7065cc903
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/README
@@ -0,0 +1,32 @@
+The not so Short Introduction to LaTeX, Vietnamese edition.
+
+Original Author: T.Oetiker, H.Partl, E.Schlegl, I.Hyna
+
+Translator: Nguyen Tan Khoa
+
+License of the translation: LPPL, version 1.3 or newer,
+according to http://www.latex-project.org/lppl.txt
+
+Files:
+ src/abbr.tex
+ src/biblio.tex
+ src/contrib.tex
+ src/custom.tex
+ src/fancyhea.sty
+ src/graphic.tex
+ src/lshort-print-vi.tex
+ src/lshort.sty
+ src/lshort-vi.tex
+ src/lssym.tex
+ src/Makefile
+ src/math.tex
+ src/mylayout.sty
+ src/overview.tex
+ src/spec.tex
+ src/things.tex
+ src/tiengviet.tex
+ src/title.tex
+ src/typeset.tex
+ src/README
+ lshort-print-vi.pdf
+ lshort-vi.pdf
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-print-vi.pdf b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-print-vi.pdf
new file mode 100644
index 00000000000..c83cbdd67ee
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-print-vi.pdf
@@ -0,0 +1,25497 @@
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diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-vi.pdf b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/lshort-vi.pdf
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diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/custom.tex b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/custom.tex
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--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/custom.tex
@@ -0,0 +1,737 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Contents: Customising LaTeX output
+% $Id: custom.tex,v 1.1.1.1 2002/02/26 10:04:20 oetiker Exp $
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\chapter{Tuỳ biến các thành phần của \LaTeX{}}
+
+\begin{intro}
+Với các lệnh đã học từ chương 1 đến nay, bạn đã có thể soạn thảo được các tài liệu đẹp mắt, có tình chuyên nghiệp khá cao. Dù chúng chưa đạt đến được sự tinh xảo cao nhưng tài liệu của bạn đã tuân theo những qui tắc định dạng chung do đó chúng rất dễ đọc và có tính chất chuyên nghiệp.
+
+Tuy nhiên, trên thực tế của việc soạn thảo với \LaTeX{}, bạn vẫn còn gặp phải một số tình huống mà \LaTeX{} không cung cấp các lệnh hay môi trường phù hợp với yêu cầu của bạn hay kết quả có được từ các lệnh sẵn có không làm cho bạn hài lòng.
+
+Trong chương này, chúng ta sẽ cùng tìm hiểu một vài thủ thuật để ``dạy'' cho \LaTeX{} những kỹ năng mới nhằm tạo ra các tài liệu có kiểu mẫu khác với các kiểu mẫu mặc định.
+\end{intro}
+
+
+\section{Tạo lệnh, gói lệnh và môi trường mới}
+Nếu chú ý thì bạn sẽ thấy rằng tất cả các lệnh trong tài liệu này đều được đóng khung và bạn có thể dễ dàng tìm thấy chúng trong phần chỉ mục của tài liệu. Thay vì trực tiếp sử dụng các lệnh của \LaTeX{}, tôi đã tạo ra một \wi{gói} mới định nghĩa cách các lệnh và môi trường mới này. Khi này, tôi chỉ cần nhập vào như sau:
+
+\begin{example}
+\begin{lscommand}
+\ci{dum}
+\end{lscommand}
+\end{example}
+Trong ví dụ này, tôi đã sử dụng một môi trường mới gọi là \ei{lscommand} và một lệnh mới là \ci{ci}. Môi trường mới này sẽ
+vẽ đóng khung các lệnh. Còn lệnh \ci{ci} được dùng để soạn thảo tên lệnh và đưa nó vào bảng chỉ mục. Bạn có thể kiểm tra điều này bằng cách nhìn qua mục \ci{dum} trong phần chỉ mục của tài liệu này.
+
+Khi tôi muốn thay đổi định dạng cho các lệnh sang một kiểu khác (chẳng hạn như không đóng khung nữa), tôi chỉ cần thay đổi định nghĩa của môi trường \texttt{lscommand}. Điều này giúp cho việc thay đổi được thực hiện khá dễ dàng mà không cần phải tìm kiếm trong suốt tài liệu và tiến hành sửa đổi.
+
+\subsection{Tạo lệnh mới}
+Để thêm vào một lệnh mới của riêng bạn, sử dụng lệnh sau:
+
+\begin{lscommand}
+\ci{newcommand}\verb|{|%
+ \emph{name}\verb|}[|\emph{num}\verb|]{|\emph{definition}\verb|}|
+\end{lscommand}
+\noindent Thông thường, một lệnh sẽ đòi hỏi hai tham số: \emph{name} là tên của lệnh mà bạn muốn tạo và \emph{definition} là định nghĩa của lệnh. Tham số \emph{num} trong dấu ngoặc vuông là tuỳ chọn và xác định số các tham số mà lệnh mới cần đến (một lệnh có khả năng có tối đa là 9 tham số). Nếu ta bỏ qua tham số này thì lệnh này sẽ được gọi mà không có tham số nào cả.
+
+Dưới đây là một ví dụ nhằm giúp bạn hiểu rõ hơn. Trong ví dụ này, trước tiên, ta sẽ tạo ra một lệnh mới gọi là \ci{tnss}. Lệnh này sẽ xuất ra chuỗi ``The Not So Short Introduction to \LaTeXe{}.''
+
+\begin{example}
+\newcommand{\tnss}{The not
+ so Short Introduction to
+ \LaTeXe}
+Đây là tựa đề gốc của tài
+liệu này: ``\tnss'' \ldots{}
+``\tnss''
+\end{example}
+Ví dụ tiếp theo sẽ minh hoạ cho việc tạo lệnh mới và lệnh này sẽ có 1 tham số. Thẻ lệnh \verb|#1| sẽ được thay thế bởi nội dung do bạn cung cấp. Nếu bạn muốn có nhiều hơn 1 tham số, bạn có thể sử dụng thẻ lệnh \verb|#2|, \ldots.
+
+\begin{example}
+\newcommand{\txsit}[1]
+ {Xin chào
+ \emph{#1}. Chúc một ngày tốt lành!}
+% trong phần thân của tài liệu:
+\begin{itemize}
+\item \txsit{Nguyễn Tân Khoa}
+\item \txsit{Babymilky}
+\end{itemize}
+\end{example}
+\LaTeX{} không cho phép việc tạo ra các lệnh mới trùng tên với các lệnh sẵn có. Tuy nhiên, trong trường hợp này, bạn có thể dùng lệnh sau: \ci{renewcommand} một cách tường minh. Lệnh \verb|renewcommand| cũng có cú pháp tương tự như lệnh \verb|\newcommand|.
+
+Trong một số trường hợp cụ thể, bạn có thể sử dụng lệnh \ci{providecommand}. Lệnh này giống như lệnh \ci{newcommand} nhưng khi mà lệnh đã được định nghĩa thì \LaTeXe{} sẽ tự động bỏ qua nó.
+
+Xem thêm trang \pageref{khoảng trắng} để biết thêm chi tiết về các vấn đề liên quan đến khoảng trắng ở sau một lệnh.
+
+\subsection{Tạo môi trường mới}
+Cũng như lệnh \verb|\newcommand|, có một lệnh hỗ trợ cho việc tạo ra các môi trường mới. Đó là lệnh \ci{newenvironment} với cú pháp như sau:
+
+\begin{lscommand}
+\ci{newenvironment}\verb|{|%
+ \emph{name}\verb|}[|\emph{num}\verb|]{|%
+ \emph{before}\verb|}{|\emph{after}\verb|}|
+\end{lscommand}
+Tương tự như lệnh \ci{newcommand}, lệnh \ci{newenvironment} cũng có các tham số tuỳ chọn riêng. Dữ liệu trong phần \emph{before} sẽ được xử lý trước khi phần văn bản được xử lý và dữ liệu trong phần \emph{after} sẽ được xử lý khi lệnh
+\verb|\end{|\emph{name}\verb|}| được xử lý.
+
+Dưới đây là một ví dụ minh hoạ cho việc sử dụng lệnh \ci{newenvironment}.
+
+\begin{example}
+\newenvironment{king}
+ {\rule{1ex}{1ex}%
+ \hspace{\stretch{1}}}
+ {\hspace{\stretch{1}}%
+ \rule{1ex}{1ex}}
+
+\begin{king}
+Đề tài bé nhỏ của tôi \ldots
+\end{king}
+\end{example}
+Tham số \emph{num} sẽ cho biết số đối số của lệnh. \LaTeX{} sẽ kiểm tra xem bạn có định nghĩa lại một môi trường đã tồn tại hay không. Khi này, nếu bạn muốn thay đổi một môi trường đã tồn tại, bạn có thể sử dụng lệnh \ci{renewenvironment}. Cú pháp của lệnh này cũng tương tự như cú pháp của lệnh \ci{renewcommand}.
+
+Các lệnh được sử dụng trong ví dụ trên sẽ được giải thích sau. Đối với các lệnh \ci{rule} và \ci{stretch}, bạn có thể tham khảo thêm ở trang~\pageref{cmd:rule} và~\pageref{sec:rule}. Còn với lệnh \ci{hspace} thì xem thêm ở trang~\pageref{sec:hspace}
+
+\subsection{Tạo một gói lệnh mới}
+Khi mà bạn đã định nghĩa nhiều môi trường và nhiều lệnh mới, phần tựa đề của tài liệu của bạn sẽ trở nên khá dài. Do đó, bạn nên tạo một gói mới chứa định nghĩa của tất cả các lệnh và môi trường mới này. Sau đó, bạn có thể sử dụng lệnh \ci{usepackage} để đưa gói mới này vào sử dụng trong tài liệu của bạn.
+
+\begin{figure}[!htbp]
+\begin{lined}{\textwidth}
+\begin{verbatim}
+% Demo Package by Tobias Oetiker
+\ProvidesPackage{demopack}
+\newcommand{\tnss}{The not so Short Introduction to \LaTeXe}
+\newcommand{\txsit}[1]{The \emph{#1} Short
+ Introduction to \LaTeXe}
+\newenvironment{king}{\begin{quote}}{\end{quote}}
+\end{verbatim}
+\end{lined}
+\caption{Ví dụ về một gói lệnh tự tạo.} \label{package}
+\end{figure}
+Việc viết một gói lệnh mới bao gồm việc sao chép nội dung của phần tựa đề của tài liệu vào một tập tin riêng lẻ với phần mở rộng là \texttt{.sty}. Có một lệnh đặc biệt:
+\begin{lscommand}
+\ci{ProvidesPackage}\verb|{|\emph{package name}\verb|}|
+\end{lscommand}
+\noindent để sử dụng ở đầu của tập tin lưu gói lệnh. Lệnh \verb|\ProvidePackage| cho \LaTeX{} biết tên của gói lệnh; đồng
+thời, nó cũng cho phép \LaTeX{} thông báo các lỗi cơ bản như việc đưa gói lệnh vào hai lần. Hình~\ref{package} cho thấy một ví dụ nhỏ về gói lệnh tự tạo chứa các lệnh đã được định nghĩa trong các ví dụ trên.
+
+\section{Font chữ và kích thước font chữ}
+
+\subsection{Các lệnh thay đổi font chữ}
+\index{font}\index{kích thước font chữ} \LaTeX{} sẽ tự động lựa chọn font chữ và kích thước font chữ dựa trên cấu trúc logic của tài liệu (mục, chú thích chân, \ldots). Trong một số tình huống, bạn sẽ muốn tự thay đổi font chữ. Để thực hiện điều này, bạn có thể sử dụng các lệnh trong bảng~\ref{fonts} và~\ref{sizes}. Kích thước phù hợp của font chữ là một kĩ thuật thiết kế dựa trên kiểu tài liệu và các mục chọn của nó. Bảng~\ref{tab:pointsizes} liệt kê các kích thước tương ứng cho các lệnh thay đổi kích thước font chữ trong các lớp tài liệu chuẩn.
+
+\begin{example}
+{\small Chữ nhỏ \textbf{bold}
+dạng Romans} {\Large Chữ lớn
+\textit{Italy}.}
+\end{example}
+Một tính năng quan trọng của \LaTeXe{} là các thuộc tính của font chữ là độc lập. Điều này có nghĩa là bạn có thể thay đổi font chữ hay kích thước của font chữ mà vẫn giữa được các định dạng in đậm, in nghiêng đã được đặt từ trước.
+
+Trong \emph{chế độ toán học}, bạn có thể dùng các lệnh thay đổi font chữ để tạm thời thoát ra khỏi \emph{chế độ toán học} và nhập vào các đoạn văn bản thông thường. Để thay đổi font chữ trong chế độ toán học, bạn cần sử dụng một tập lệnh đặc biệt. Xem thêm bảng~\ref{mathfonts}.
+
+\begin{table}[!bp]
+\caption{Font chữ.} \label{fonts}
+\begin{lined}{13cm}
+%
+% Alan suggested not to tell about the other form of the command
+% eg \verb|\sffamily| or \verb|\bfseries|. This seems a good thing to me.
+%
+\begin{tabular}{@{}rl@{\qquad}rl@{}}
+\fni{textrm}\verb|{...}| & \textrm{\wi{roman}}&
+\fni{textsf}\verb|{...}| & \textsf{\wi{sans serif}}\\
+\fni{texttt}\verb|{...}| & \texttt{đánh máy}\\[6pt]
+\fni{textmd}\verb|{...}| & \textmd{trung bình}&
+\fni{textbf}\verb|{...}| & \textbf{\wi{in đậm}}\\[6pt]
+\fni{textup}\verb|{...}| & \textup{\wi{thắng đứng}}&
+\fni{textit}\verb|{...}| & \textit{\wi{in nghiêng}}\\
+\fni{textsl}\verb|{...}| & \textsl{\wi{nghiêng}}&
+\fni{textsc}\verb|{...}| & \textsc{\wi{chữ nhỏ}}\\[6pt]
+\ci{emph}\verb|{...}| & \emph{nhấn mạnh} &
+\fni{textnormal}\verb|{...}| & font chữ \textnormal{bình
+thường}
+\end{tabular}
+
+\bigskip
+\end{lined}
+\end{table}
+
+
+\begin{table}[!bp]
+\index{font size} \caption{Kích thước của font chữ.} \label{sizes}
+\begin{lined}{12cm}
+\begin{tabular}{@{}ll}
+\fni{tiny} & \tiny font chữ nhỏ \\
+\fni{scriptsize} & \scriptsize font chữ rất nhỏ\\
+\fni{footnotesize} & \footnotesize font chữ tương đối nhỏ \\
+\fni{small} & \small font chữ nhỏ \\
+\fni{normalsize} & \normalsize font chữ thường \\
+\fni{large} & \large font chữ lớn
+\end{tabular}%
+\qquad\begin{tabular}{ll@{}}
+\fni{Large} & \Large font chữ lớn hơn \\[5pt]
+\fni{LARGE} & \LARGE font chữ rất lớn \\[5pt]
+\fni{huge} & \huge font chữ ``khổng lồ'' \\[5pt]
+\fni{Huge} & \Huge font chữ lớn nhất
+\end{tabular}
+
+\bigskip
+\end{lined}
+\end{table}
+
+\begin{table}[!tbp]
+\caption{Kích thước tính theo điểm (pt) của các tài liệu
+chuẩn.}\label{tab:pointsizes} \label{tab:sizes}
+\begin{lined}{13cm}
+\begin{tabular}{lrrr}
+\multicolumn{1}{c}{Cỡ} & \multicolumn{1}{c}{10pt (mặc định) } &
+ \multicolumn{1}{c}{11pt tuỳ chọn} &
+ \multicolumn{1}{c}{12pt tuỳ chọn}\\
+\verb|\tiny| & 5pt & 6pt & 6pt\\
+\verb|\scriptsize| & 7pt & 8pt & 8pt\\
+\verb|\footnotesize| & 8pt & 9pt & 10pt \\
+\verb|\small| & 9pt & 10pt & 11pt \\
+\verb|\normalsize| & 10pt & 11pt & 12pt \\
+\verb|\large| & 12pt & 12pt & 14pt \\
+\verb|\Large| & 14pt & 14pt & 17pt \\
+\verb|\LARGE| & 17pt & 17pt & 20pt\\
+\verb|\huge| & 20pt & 20pt & 25pt\\
+\verb|\Huge| & 25pt & 25pt & 25pt\\
+\end{tabular}
+
+\bigskip
+\end{lined}
+\end{table}
+
+
+\begin{table}[!bp]
+\caption{Các font chữ để soạn thảo trong chế độ toán học.}
+\label{mathfonts}
+\begin{lined}{\textwidth}
+\begin{tabular}{@{}lll@{}}
+\textit{Lệnh}&\textit{Ví dụ}& \textit{Kết quả}\\[6pt]
+\fni{mathcal}\verb|{...}|& \verb|$\mathcal{B}=c$|& $\mathcal{B}=c$\\
+\fni{mathrm}\verb|{...}|& \verb|$\mathrm{K}_2$|& $\mathrm{K}_2$\\
+\fni{mathbf}\verb|{...}|& \verb|$\sum x=\mathbf{v}$|& $\sum x=\mathbf{v}$\\
+\fni{mathsf}\verb|{...}|& \verb|$\mathsf{G\times R}$|& $\mathsf{G\times R}$\\
+\fni{mathtt}\verb|{...}|& \verb|$\mathtt{L}(b,c)$|& $\mathtt{L}(b,c)$\\
+\fni{mathnormal}\verb|{...}|& \verb|$\mathnormal{R_{19}}\neq R_{19}$|&
+$\mathnormal{R_{19}}\neq R_{19}$\\
+\fni{mathit}\verb|{...}|& \verb|$\mathit{ffi}\neq ffi$|& $\mathit{ffi}\neq ffi$
+\end{tabular}
+
+\bigskip
+\end{lined}
+\end{table}
+
+Liên quan đến các lệnh thay đổi kích thước font chữ, \wi{dấu ngoặc
+vuông} đóng một vai trò rất quan trọng. Chúng được dùng để tạo ra
+các \emph{nhóm}. Các \emph{nhóm} sẽ giới hạn phạm vi tác dụng của
+các lệnh trong \LaTeX{}.\index{nhóm}.
+
+\begin{example}
+Tôi thích {\LARGE Toán-Tin học
+và {\small Văn học}}.
+\end{example}
+Các lệnh liên quan đến kích thước của font chữ cũng sẽ thay đổi
+khoảng cách giữa các hàng khi mà một đoạn văn kết thúc bên trong
+phạm vi tác dụng của lệnh này. Do đó, dấu đóng ngoặc \verb|}|
+không nên xuất hiện trước khi kết thúc đoạn văn. Hãy chú ý đến vị
+trí của lệnh \ci{par} trong hai ví dụ sau
+đây.\footnote{\texttt{\bs{}par} tương đương với một hàng trắng.}
+
+\begin{example}
+{\Large Đừng tin cô gái ấy.
+Tôi nói ``thiệt'' đấy!!!\par}
+\end{example}
+
+\begin{example}
+{\Large Đừng tin chàng trai ấy.
+Tôi không ``quan tâm'' đến anh
+ta.}\par
+\end{example}
+Khi bạn muốn kích hoạt việc thay đổi kích thước font chữ cho cả
+doạn văn bản hay nhiều hơn, bạn có thể sử dụng môi trường lệnh để
+thay đổi.
+\begin{example}
+\begin{Large}
+Đừng tin những gì con
+gái nói. Nhưng như vậy
+thì còn biết tin vào
+gì nữa đây???!!! \ldots
+\end{Large}
+\end{example}
+
+\noindent Giải pháp này sẽ giúp bạn tránh được việc nhập thiếu dấu
+đóng ngoặc \verb|}|.
+
+\subsection{Lưu ý khi sử dụng các lệnh thay đổi định dạng}
+Như đã nói đến ở đầu chương, việc thay đổi định dạng của font chữ,
+kích thước thông qua các lệnh tác động trực tiếp sẽ làm cho tài
+liệu của chúng ta trở nên không còn trong sáng như ý tưởng ban
+đầu. Do đó, khi cần thay đổi định dạng của văn bản tại nhiều nơi
+trong văn bản, bạn nên tạo ra một lệnh mới với lệnh
+\verb|\newcommand|.
+
+\begin{example}
+\newcommand{\oops}[1]{\textbf{#1}}
+Đừng \oops{bước vào} căn
+phòng này!! Bên trong căn
+phòng này đang
+có một \oops{con vật lạ}
+từ hành tinh khác!.
+\end{example}
+Hướng tiếp cận này có những lợi điểm riêng bởi vì bạn có thể thay
+đổi cách định dạng về sau với rất ít công sức. Ngược lại, nếu bạn
+sử dụng lệnh thay đổi trực tiếp như \verb|\textbf| thì khi muốn
+thay đổi định dạng, bạn cần phải tìm kiếm tất cả các lệnh
+\verb|\textbf| trong tài liệu và thay thế nó bởi lệnh định dạng
+khác. Hãy nghĩ đến sự phức tạp khi mà bạn muốn thay đổi một loạt
+các định dạng phức tạp!!!
+
+\subsection{Vài lời khuyên}
+Để kết thúc phần giới thiệu về font chữ và kích thước của font
+chữ, dưới đây là một số lời khuyên:\nopagebreak
+
+\begin{quote}
+ \underline{\textbf{Hãy nhớ là\Huge!}} \textit{Sử dụng}
+ \textsf{nhiều\textbf{\LARGE FONT} \texttt{chữ}\textsl{khác nhau}} \Huge
+ Bạn \tiny sẽ \footnotesize \textbf{tạo} ra \small \texttt{một tài liệu đẹp},
+ \large \textit{và} \normalsize dễ \textsc{đọc}.
+\end{quote}
+
+\section{Các khoảng trắng}
+
+\subsection{Khoảng cách giữa cách hàng}
+
+\index{khoảng trắng giữa các hàng} Bạn có thể thay đổi khoảng cách
+giữa các hàng bên trong một tài liệu với lệnh sau:
+\begin{lscommand}
+\ci{linespread}\verb|{|\emph{factor}\verb|}|
+\end{lscommand}
+\noindent ở phần tựa đề của tài liệu. Lệnh \verb|\linespread{1.3}|
+xác định khoảng cách giữa các hàng là ``một rưỡi''; lệnh
+\verb|\linespread{1.6}| xác định khoảng cách giữa các hàng là
+``gấp đôi''. Bình thường thì khoảng cách giữa các hàng không được
+căng ra cho nên khoảng cách mặc định là~1.\index{khoảng cách hàng
+kép}.
+
+\subsection{Định dạng đoạn văn}\label{parsp}
+Trong \LaTeX{}, có hai tham số ảnh hưởng đến việc trình bày các
+đoạn văn. Thông qua các lệnh sau
+
+\begin{code}
+\ci{setlength}\verb|{|\ci{parindent}\verb|}{0pt}| \\
+\verb|\setlength{|\ci{parskip}\verb|}{1ex plus 0.5ex minus 0.2ex}|
+\end{code}
+trong phần tựa đề của tập tin dữ liệu vào, bạn có thể thay đổi
+cách trình bày các đoạn văn. Hai lệnh này sẽ tăng khoảng cách giữa
+các đoạn văn trong khi thiết lập việc canh lề các đoạn văn là 0.
+
+Phần tham số \texttt{plus} và \texttt{minus} của lệnh trên sẽ cho
+\TeX{} biết rằng nó có thể co hẹp lại hay dãn rộng ra việc cách
+đoạn theo một lượng được xác định khi mà đoạn văn tương ứng cần
+phải nằm vừa vặn trong một trang.
+
+Theo định dạng văn bản thông thường ở châu Âu, các đoạn văn thường
+cách nhau bởi một khoảng trắng và không được canh lề. Nhưng bạn
+nên lưu ý rằng, cách định dạng này cũng có những ảnh hưởng riêng
+đến bảng mục lục: khoảng cách giữa các hàng sẽ tương đối lớn làm
+cho bảng mục lục trở nên ``lỏng lẽo''. Để tránh điều này, bạn có
+thể đặt hai lệnh định dạng khoảng cách ở trong phần tựa đề vào
+phần nội dung của tài liệu, ở sau lệnh \verb|\tableofcontent| hoặc
+bạn có thể không sử dụng hai lệnh định dạng trên. Hầu hết các tài
+liệu chuyên nghiệp đều sử dụng định dạng đoạn văn bằng cách canh
+lề chứ không dùng khoảng trắng để cách đoạn.
+
+Để canh lề một đoạn văn chưa được canh lề, hãy sử dụng lệnh sau:
+
+\begin{lscommand}
+\ci{indent}
+\end{lscommand}
+\noindent ở phần đầu của đoạn văn.\footnote{Để canh lề cho đoạn
+văn đầu tiên nằm ở sau tựa đề mục, bạn có thể sử dụng gói
+\pai{indentfirst} trong bộ các công cụ}. Hiển là lệnh này sẽ không
+có tác động khi lệnh \verb|\parindent| được chỉnh là 0.
+
+Để chỉnh cho đoạn văn không được canh lề, bạn có thể sử dụng lệnh
+sau:
+
+\begin{lscommand}
+\ci{noindent}
+\end{lscommand}
+\noindent ở vị trí đầu tiên của đoạn văn. Lệnh này rất có ích khi
+bạn bắt đầu một tài liệu bằng phần văn bản chứ không phải lệnh tạo
+đề mục.
+
+\subsection{Khoảng trắng ngang}
+\label{sec:hspace} \LaTeX{} tác động xác định khoảng trắng giữa
+các từ và các câu một cách tự động. Để thêm vào khoảng trắng
+ngang, bạn có thể dùng lệnh:\index{khoảng trắng!ngang}
+
+\begin{lscommand}
+\ci{hspace}\verb|{|\emph{length}\verb|}|
+\end{lscommand}
+Trong tình huống bạn muốn giữ nguyên các khoảng trắng này tại vị
+trí cuối hàng hoặc đầu hàng, bạn có thể sử dụng lệnh
+\verb|\hspace*| thay cho lệnh \verb|\hspace|. Tham số
+\emph{length} chỉ đơn thuần là một con số và đơn vị đo tương ứng
+(trong tình huống đơn giản nhất). Các đơn vị thường dùng được liệt
+kê trong bảng~\ref{units}.\index{đơn vị}\index{kích thước}.
+
+\begin{example}
+Đây là một khoảng
+trắng dài \hspace{1.5cm}
+ 1.5 cm.
+\end{example}
+\suppressfloats
+\begin{table}[tbp]
+\caption{Các đơn vị trong \TeX{}.} \label{units}\index{units}
+\begin{lined}{9.5cm}
+\begin{tabular}{@{}ll@{}}
+\texttt{mm} & millimetre $\approx 1/25$~inch \quad \demowidth{1mm} \\
+\texttt{cm} & centimetre = 10~mm \quad \demowidth{1cm} \\
+\texttt{in} & inch $=$ 25.4~mm \quad \demowidth{1in} \\
+\texttt{pt} & điểm $\approx 1/72$~inch $\approx \frac{1}{3}$~mm \quad\demowidth{1pt}\\
+\texttt{em} & xấp xỉ chiều rộng của chữ `M' trong font chữ hiện thời \quad \demowidth{1em}\\
+\texttt{ex} & xấp xỉ chiều cao của chữ `x' trong font chữ hiện
+thời \quad \demowidth{1ex}
+\end{tabular}
+
+\bigskip
+\end{lined}
+\end{table}
+
+\label{cmd:stretch} Lệnh
+\begin{lscommand}
+\ci{stretch}\verb|{|\emph{n}\verb|}|
+\end{lscommand}
+\noindent sẽ tạo ra các khoảng trắng đặc biệt. Nó sẽ dãn ra cho
+đến khi nó sử dụng hết tất cả các khoảng trắng trên hàng. Nếu hai
+lệnh \verb|\hspace{\stretch{|\emph{n}\verb|}}| xuất hiện trên cùng
+một hàng thì việc dãn rộng các khoảng trắng sẽ được quyết định dựa
+trên tham số \emph{n}.
+
+\begin{example}
+x\hspace{\stretch{1}}
+x\hspace{\stretch{3}}x
+\end{example}
+
+When using horizontal space together with text, it may make sense to make
+the space adjust its size relative to the size of the current font.
+This can be done by using the text-relative units \texttt{em} and
+\texttt{en}:
+
+\begin{example}
+{\Large{}big\hspace{1em}y}\\
+{\tiny{}tin\hspace{1em}y}
+\end{example}
+
+\subsection{Khoảng trắng dọc}
+Khoảng cách giữa các đoạn văn, mục, mục con, \ldots\ được xác định
+một cách tự động bởi \LaTeX{}. Khi cần thiết, các khoảng trắng dọc
+\emph{giữa hai đoạn văn} có thể được thêm vào với lệnh sau:
+
+\begin{lscommand}
+\ci{vspace}\verb|{|\emph{length}\verb|}|
+\end{lscommand}
+Lệnh này nên được sử dụng giữa hai hàng trắng. Khi cần giữ khoảng
+trắng ở đầu hay cuối trang, bạn có thể sử dụng lệnh
+\verb|\vspace*| thay cho lệnh \verb|\vspace|.\index{khoảng
+trắng!dọc}.
+
+Lệnh \verb|\stretch| cùng với lệnh \verb|\pagebreak| có thể được
+sử dụng để soạn thảo phần văn bản ở hàng cuối cùng của một trang
+hay canh giữa văn bản theo chiều dọc của trang giấy.
+\begin{code}
+\begin{verbatim}
+Một vài lưu ý \ldots
+
+\vspace{\stretch{1}}
+Đây sẽ là hàng cuối của trang.\pagebreak
+\end{verbatim}
+\end{code}
+
+Lệnh sau sẽ cho phép bạn thay đổi khoảng cách giữa các hàng trong
+cùng một đoạn văn hay trong cùng một biểu bảng:
+
+\begin{lscommand}
+\ci{\bs}\verb|[|\emph{length}\verb|]|
+\end{lscommand}
+Với lệnh \ci{bigskip} và \ci{smallskip}, bạn có thể cách quãng một
+khoảng cách định trước theo chiều dọc.
+
+\section{Trình bày trang}
+\begin{figure}[!hp]
+\begin{center}
+\makeatletter\@layout\makeatother
+\end{center}
+\vspace*{1.8cm} \caption{Các tham số trong việc trình bày trang.}
+\label{fig:layout}
+\end{figure}
+\index{trình bày trang}
+
+\LaTeXe{} cho phép bạn xác định kích thước trang giấy trong lệnh \\
+\verb|\documentclass|. Sau khi được cung cấp kích thước giấy,
+\LaTeX{} sẽ tự động xác định kích thước các biên. Tuy nhiên, đôi
+khi thao tác tự động này không đáp ứng được yêu cầu định dạng của
+bạn. Và với \LaTeX{}, bạn hoàn toàn có khả năng tuỳ biến điều này
+cho phù hợp với yêu cầu công việc.\thispagestyle{fancyplain}.
+Hình~\ref{fig:layout} sẽ cung cấp cho bạn một cái nhìn tổng quát
+về các tham số có thể thay đổi nhằm thực hiện việc định dạng theo
+yêu cầu.%
+\footnote{\texttt{CTAN:/tex-archive/macros/latex/required/tools}}
+
+Tuy nhiên, bạn cần phải \textbf{cẩn thận} trước khi quyết định
+việc thay đổi định dạng. Bản thân \LaTeX{} đã cố gắng lựa chọn cho
+bạn những mẫu định dạng mang tính chất chuyên nghiệp và tương đối
+chuẩn trong soạn thảo tài liệu. Do đó, đôi khi việc tuỳ biến các
+định dạng này sẽ cho các bạn một kết quả ngoài dự kiến (thông
+thường thì kết quả sẽ tệ hơn!!!).
+
+Để bạn hiểu rõ hơn, ta bắt đầu đi vào phân tích vấn đề. Khi bạn tự
+so sánh một trang tài liệu của mình với một trang tài liệu được
+soạn thảo bằng MS Word, bạn sẽ thấy rằng trang tài liệu được soạn
+bằng \LaTeX{} nhỏ hơn. Tuy nhiên, nếu bạn nhìn kĩ vào các quyển
+sách đã được xuất bản\footnote{các quyển sách được in bởi các nhà
+xuất bản danh tiếng.} và đếm số kí tự trên một hàng, bạn sẽ thấy
+rằng mỗi hàng thường không chứ quá \emph{66} kí tự. Bây giờ, bạn
+hãy tiến hành kiểm tra tài liệu được soạn thảo bằng \LaTeX{}, bạn
+cũng sẽ có kết quả tương tự. Kinh nghiệm trong ngành in ấn đã cho
+thấy rằng các hàng quá dài sẽ gây khó khăn cho người đọc, dễ làm
+cho người đọc bị mỏi mắt (đây cũng là lý do vì sao mà các tờ báo
+lại chọn cách in dạng nhiều cột).
+
+Như vậy, nếu bạn tự ý tăng độ rộng của phần văn bản, bạn đã vô
+tình gây khó khăn cho người đọc. Tuy nhiên, chúng ta vẫn giới
+thiệu cho các bạn biết về các lệnh để thực hiện việc này (nhưng
+bạn nên để \LaTeX{} tự động lựa chọn cách trình bày chuẩn nhất).
+
+\LaTeX{} cung cấp 2 lệnh để thay đổi các tham số này. Thông
+thường, các lệnh này thường được đặt trong phần tựa đề của tài
+liệu.
+
+Lệnh đầu tiên này sẽ gán một giá trị cố định cho một tham số bất
+kỳ:
+
+\begin{lscommand}
+\ci{setlength}\verb|{|\emph{parameter}\verb|}{|\emph{length}\verb|}|
+\end{lscommand}
+
+Lệnh thứ hai này sẽ cộng thêm vào giá trị hiện tại của tham số:
+\begin{lscommand}
+\ci{addtolength}\verb|{|\emph{parameter}\verb|}{|\emph{length}\verb|}|
+\end{lscommand}
+Lệnh thứ hai này hữu ích hơn lệnh thứ nhất (\ci{setlength}) bởi vì
+bạn có thể thao tác dựa trên các định dạng sẵn có. Để thêm vào vào
+chiều rộng của phần nội dung 1cm, bạn thêm lệnh sau vào phần tựa
+đề của tài liệu:
+\begin{code}
+\verb|\addtolength{\hoffset}{-0.5cm}|\\
+\verb|\addtolength{\textwidth}{1cm}|
+\end{code}
+Trong tình huống này, bạn có thể xem thêm gói \pai{calc}. Gói này
+sẽ cho phép bạn sử dụng các toán tử số học trong tham số của lệnh
+\ci{setlength} và các vị trí khác khi bạn nhập giá trị vào tham số
+của một hàm.
+
+\section{Các vấn đề khác với việc định dạng chiều dài}
+Khi có thể, tôi thường tránh việc sử dụng các chiều dài thuần tuý
+trong các tài liệu được soạn thảo bởi \LaTeX{}. Thông thường, ta
+nên dựa vào các tham số cơ bản như chiều dài, rộng của các phần tử
+khác của một trang. Đối với chiều rộng của một hình minh họa, bạn
+nên sử dụng lệnh \verb|\textwidth| để chỉnh cho hình minh họa nằm
+trọn trong một trang.
+
+3 lệnh dưới đây sẽ giúp bạn xác định chiều rộng, cao và sâu của
+chuỗi văn bản.
+
+\begin{lscommand}
+\ci{settoheight}\verb|{|\emph{variable}\verb|}{|\emph{text}\verb|}|\\
+\ci{settodepth}\verb|{|\emph{variable}\verb|}{|\emph{text}\verb|}|\\
+\ci{settowidth}\verb|{|\emph{variable}\verb|}{|\emph{text}\verb|}|
+\end{lscommand}
+
+\noindent Ví dụ dưới đây cho thấy tác dụng của 3 lệnh trên.
+
+\begin{example}
+\flushleft
+\newenvironment{vardesc}[1]{%
+ \settowidth{\parindent}{#1:\ }
+ \makebox[0pt][r]{#1:\ }}{}
+
+\begin{displaymath}
+a^2+b^2=c^2
+\end{displaymath}
+
+\begin{vardesc}{Với}$a$,
+$b$ -- là hai cạnh kề của
+góc vuông của tam giác vuông.
+
+$c$ -- là cạnh huyền của
+tam giác vuông.
+
+$d$ -- chưa được đề cập ở đây!!!!
+\end{vardesc}
+\end{example}
+
+\section{Các hộp}
+\LaTeX{} xây dựng các trang bằng cách kết hợp các hộp. Đầu tiên,
+mỗi kí tự là một hộp nhỏ. Chúng sẽ được gắn lại với nhau để tạo
+nên các từ. Sau đó, các từ này lại được gắn lại với nhau để tạo ra
+các từ khác. Tuy nhiên, với loại ``keo'' kết dính đặc biệt thì
+chúng có thể co dãn được để có thể nằm trọn trên một hàng.
+
+Đây chỉ là một cách nói nôm na cơ chế làm việc của \LaTeX{}. Không
+chỉ các kí tự mới có thể được đóng hộp. Chúng ta có thể đặt hầu
+hết mọi thứ vào trong một cái hộp (ngay cả một cái hộp khác). Khi
+này, mỗi một hộp sẽ được \LaTeX{} xem như một kí tự đơn.
+
+Trong các chương trước, chúng ta đã bắt gặp các hộp (bao quanh các
+lệnh, \ldots). Môi trường \ei{tabular} và lệnh
+\ci{includegraphics} sẽ hỗ trợ bạn tạo nên các hộp trong tài liệu.
+Điều này có nghĩa là bạn có thể sắp xếp hai biểu bảng hay hình ảnh
+kế bên nhau. Điều duy nhất bạn cần quan tâm ở đây là tổng chiều
+rộng của hai đối tượng này không được vượt quá chiều rộng của văn
+bản.
+
+Ngoài ra, bạn cũng có thể đóng khung một đoạn văn với lệnh
+
+\begin{lscommand}
+\ci{parbox}\verb|[|\emph{pos}\verb|]{|\emph{width}\verb|}{|\emph{text}\verb|}|
+\end{lscommand}
+
+\noindent hay môi trường
+
+\begin{lscommand}
+\verb|\begin{|\ei{minipage}\verb|}[|\emph{pos}\verb|]{|\emph{width}\verb|}| text
+\verb|\end{|\ei{minipage}\verb|}|
+\end{lscommand}
+
+\noindent Tham số \texttt{pos} có thể có các giá trị như
+\texttt{c,t} hay \texttt{b} để canh lề hộp theo chiều dọc trong
+mối quan hệ với vạch giới hạn xung quanh phần văn bản. Tham số
+\texttt{width} sẽ xác định chiều rộng của hộp. Điểm khác biệt
+chính giữa môi trường \ei{minipage} và lệnh \ci{parbox} là bạn
+không thể sử dụng tất cả các lệnh và môi trường bên trong một hộp
+được tạo bởi lệnh \ci{parbox}. Ngược lại, bạn có thể làm mọi việc
+bên trong môi trường \ei{minipage}.
+
+Trong khi lệnh \ci{parbox} đóng khung cả đoạn văn bản gồm cả việc
+xuống hàng, \ldots ta có một lớp các lệnh đóng khung khác chỉ làm
+việc với các văn bản được canh lề theo chiều ngang. Đó là lệnh
+\ci{mbox}. Lệnh này chỉ đơn thuần xếp chặt một loạt các hộp vào
+trong một hộp khác. Bạn có thể ngăn chặn việc \LaTeX{} tách rời 2
+từ bằng cách sử dụng lệnh này. Lệnh này có tính linh hoạt rất cao.
+
+\begin{lscommand}
+\ci{makebox}\verb|[|\emph{width}\verb|][|\emph{pos}\verb|]{|\emph{text}\verb|}|
+\end{lscommand}
+
+\noindent Tham số \texttt{width} xác định độ rộng của
+hộp.\footnote{Điều này có nghĩa là hộp có thể nhỏ hơn phần nội
+dung bên trong. Bạn có thể chỉnh độ rộng của hộp là 0pt để phần
+văn bản bên trong hộp được soạn thảo mà không bị ảnh hưởng bởi hộp
+bao quanh.} Bên cạnh các tham số về độ dài, bạn có thể sử dụng các
+lệnh \ci{width}, \ci{height}, \ci{depth} và \ci{totalheight} bên
+trong biểu thức về độ dài. Các tham số này có thể được chỉnh dựa
+trên các giá trị có được bằng cách đo độ rộng của phần văn bản
+\texttt{text}. Tham số \emph{pos} lấy các giá trị sau: \textbf{c}:
+văn bản sẽ được canh giữa, \textbf{l}: văn bản sẽ được dồn về
+trái, \textbf{r}: văn bản sẽ được dồn về bên phải hay \textbf{s}:
+văn bản sẽ được dàn trải ra trong hộp.
+
+Lệnh \ci{framebox} hoạt động tương tự như lệnh \ci{makebox} nhưng
+nó chỉ đơn thuần vẽ một hộp bên ngoài phần văn bản.
+
+Ví dụ dưới đây cho thấy một số ứng dụng của lệnh \ci{makebox} và
+lệnh \ci{framebox}
+
+\begin{example}
+\makebox[\textwidth]{%
+ ở giữa}\par
+\makebox[\textwidth][s]{%
+ dàn trải}\par
+\framebox[1.1\width]{Đóng
+khung một văn bản!} \par
+
+\framebox[0.8\width][r]{Ô kìa,
+ phần văn bản quá dài!!!} \par
+\framebox[1cm][l]{không có
+ chi, tôi cũng vậy}
+Bạn đọc được phần văn bản này chứ?
+\end{example}
+
+Bây giờ, bạn đã có thể điều khiển việc định dạng theo chiều ngang,
+bước tiếp theo là việc thực hiện những định dạng theo chiều
+dọc.\footnote{Việc điều khiển định dạng hoàn toàn phải là sự tổng
+hợp hài hoà của việc điều khiển theo chiều ngang và theo chiều
+dọc}.
+
+\begin{lscommand}
+\ci{raisebox}\verb|{|\emph{lift}\verb|}[|\emph{depth}\verb|][|\emph{height}\verb|]{|\emph{text}\verb|}|
+\end{lscommand}
+
+\noindent lệnh này cho phếp bạn định nghĩa thuộc tính theo chiều
+dọc của hộp. Bạn cũng có thể sử dụng các lệnh \ci{width},
+\ci{height}, \ci{depth} và \ci{totalheight} ở 3 tham số đầu để xác
+định kích thước của hộp bên trong tham số \emph{text}.
+
+\begin{example}
+\raisebox{0pt}[0pt][0pt]{\Large%
+\textbf{Aaaa\raisebox{-0.3ex}{a}%
+\raisebox{-0.7ex}{aa}%
+\raisebox{-1.2ex}{r}%
+\raisebox{-2.2ex}{g}%
+\raisebox{-4.5ex}{h}}}
+Hãy chú ý khả năng định
+dạng hết sức tinh
+tế và thú vị của \LaTeX{}.
+\end{example}
+
+\section{Đường kẻ và thanh ngang}
+\label{sec:rule} Trong một số trang ở các phần trước, bạn đã thấy
+lệnh:
+
+\begin{lscommand}
+\ci{rule}\verb|[|\emph{lift}\verb|]{|\emph{width}\verb|}{|\emph{height}\verb|}|
+\end{lscommand}
+
+\noindent Thông thường, lệnh này được sử dụng để vẽ các hộp đen.
+\newpage
+\begin{example}
+\rule{3mm}{.1pt}%
+\rule[-1mm]{5mm}{1cm}%
+\rule{3mm}{.1pt}%
+\rule[1mm]{1cm}{5mm}%
+\rule{3mm}{.1pt}
+\end{example}
+
+\noindent Lệnh này rất hữu dụng để vẽ các hàng ngang và hàng dọc.
+Ví dụ như đường kẻ ngang trong phần tựa đề của trang được tạo với
+lệnh \ci{rule}.
+
+Một đường kẻ ngang không có chiều rộng và chỉ có một chiều cao xác
+định là một trường hợp đặc biệt. Trong ngành soạn thảo chuyên
+nghiệp, nó được gọi là ``\wi{strut}''. Nó được sử dụng để đảm bảo
+rằng một thành phần trên trang giấy có một chiều cao nhỏ nhất xác
+định. Bạn có thể sử dụng nó trong môi trường \texttt{bảng} để chắc
+chắn rằng mỗi hàng có một chiều cao xác định nhỏ nhất.
+
+\begin{example}
+\begin{tabular}{|c|}
+\hline
+\rule{1pt}{4ex}Pitprop \ldots\\
+\hline
+\rule{0pt}{4ex}Strut\\
+\hline
+\end{tabular}
+\end{example}
+
+\bigskip
+{\flushright Hết.\par}
+
+%
+% Local Variables:
+% TeX-master: "lshort2e"
+% mode: latex
+% coding: utf-8
+% End:
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/fancyhea.sty b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/fancyhea.sty
new file mode 100644
index 00000000000..13cfb623ec6
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/fancyhea.sty
@@ -0,0 +1,129 @@
+% fancyheadings.sty version 1.7
+% Fancy headers and footers.
+% Piet van Oostrum, Dept of Computer Science, University of Utrecht
+% Padualaan 14, P.O. Box 80.089, 3508 TB Utrecht, The Netherlands
+% Telephone: +31-30-531806. piet@cs.ruu.nl (mcvax!sun4nl!ruuinf!piet)
+% Sep 16, 1994
+% version 1.4: Correction for use with \reversemargin
+% Sep 29, 1994:
+% version 1.5: Added the \iftopfloat, \ifbotfloat and \iffloatpage commands
+% Oct 4, 1994:
+% version 1.6: Reset single spacing in headers/footers for use with
+% setspace.sty or doublespace.sty
+% Oct 4, 1994:
+% version 1.7: changed \let\@mkboth\markboth to
+% \def\@mkboth{\protect\markboth} to make it more robust
+
+\def\lhead{\@ifnextchar[{\@xlhead}{\@ylhead}}
+\def\@xlhead[#1]#2{\gdef\@elhead{#1}\gdef\@olhead{#2}}
+\def\@ylhead#1{\gdef\@elhead{#1}\gdef\@olhead{#1}}
+
+\def\chead{\@ifnextchar[{\@xchead}{\@ychead}}
+\def\@xchead[#1]#2{\gdef\@echead{#1}\gdef\@ochead{#2}}
+\def\@ychead#1{\gdef\@echead{#1}\gdef\@ochead{#1}}
+
+\def\rhead{\@ifnextchar[{\@xrhead}{\@yrhead}}
+\def\@xrhead[#1]#2{\gdef\@erhead{#1}\gdef\@orhead{#2}}
+\def\@yrhead#1{\gdef\@erhead{#1}\gdef\@orhead{#1}}
+
+\def\lfoot{\@ifnextchar[{\@xlfoot}{\@ylfoot}}
+\def\@xlfoot[#1]#2{\gdef\@elfoot{#1}\gdef\@olfoot{#2}}
+\def\@ylfoot#1{\gdef\@elfoot{#1}\gdef\@olfoot{#1}}
+
+\def\cfoot{\@ifnextchar[{\@xcfoot}{\@ycfoot}}
+\def\@xcfoot[#1]#2{\gdef\@ecfoot{#1}\gdef\@ocfoot{#2}}
+\def\@ycfoot#1{\gdef\@ecfoot{#1}\gdef\@ocfoot{#1}}
+
+\def\rfoot{\@ifnextchar[{\@xrfoot}{\@yrfoot}}
+\def\@xrfoot[#1]#2{\gdef\@erfoot{#1}\gdef\@orfoot{#2}}
+\def\@yrfoot#1{\gdef\@erfoot{#1}\gdef\@orfoot{#1}}
+
+\newdimen\headrulewidth
+\newdimen\footrulewidth
+\newdimen\plainheadrulewidth
+\newdimen\plainfootrulewidth
+\newdimen\headwidth
+\newif\if@fancyplain \@fancyplainfalse
+\def\fancyplain#1#2{\if@fancyplain#1\else#2\fi}
+
+% Command to reset various things in the headers:
+% a.o. single spacing (taken from setspace.sty)
+% and the catcode of ^^M (so that epsf files in the header work if a
+% verbatim crosses a page boundary)
+\def\fancy@reset{\restorecr
+ \def\baselinestretch{1}%
+ \ifx\undefined\@newbaseline% NFSS not present; 2.09 or 2e
+ \ifx\@currsize\normalsize\@normalsize\else\@currsize\fi%
+ \else% NFSS (2.09) present
+ \@newbaseline%
+ \fi}
+
+% Initialization of the head and foot text.
+
+\headrulewidth 0.4pt
+\footrulewidth\z@
+\plainheadrulewidth\z@
+\plainfootrulewidth\z@
+
+\lhead[\fancyplain{}{\sl\rightmark}]{\fancyplain{}{\sl\leftmark}}
+% i.e. empty on ``plain'' pages \rightmark on even, \leftmark on odd pages
+\chead{}
+\rhead[\fancyplain{}{\sl\leftmark}]{\fancyplain{}{\sl\rightmark}}
+% i.e. empty on ``plain'' pages \leftmark on even, \rightmark on odd pages
+\lfoot{}
+\cfoot{\rm\thepage} % page number
+\rfoot{}
+
+% Put together a header or footer given the left, center and
+% right text, fillers at left and right and a rule.
+% The \lap commands put the text into an hbox of zero size,
+% so overlapping text does not generate an errormessage.
+
+\def\@fancyhead#1#2#3#4#5{#1\hbox to\headwidth{\fancy@reset\vbox{\hbox
+{\rlap{\parbox[b]{\headwidth}{\raggedright#2\strut}}\hfill
+\parbox[b]{\headwidth}{\centering#3\strut}\hfill
+\llap{\parbox[b]{\headwidth}{\raggedleft#4\strut}}}\headrule}}#5}
+
+
+\def\@fancyfoot#1#2#3#4#5{#1\hbox to\headwidth{\fancy@reset\vbox{\footrule
+\hbox{\rlap{\parbox[t]{\headwidth}{\raggedright#2\strut}}\hfill
+\parbox[t]{\headwidth}{\centering#3\strut}\hfill
+\llap{\parbox[t]{\headwidth}{\raggedleft#4\strut}}}}}#5}
+
+\def\headrule{{\if@fancyplain\headrulewidth\plainheadrulewidth\fi
+\hrule\@height\headrulewidth\@width\headwidth \vskip-\headrulewidth}}
+
+\def\footrule{{\if@fancyplain\footrulewidth\plainfootrulewidth\fi
+\vskip-0.3\normalbaselineskip\vskip-\footrulewidth
+\hrule\@width\headwidth\@height\footrulewidth\vskip0.3\normalbaselineskip}}
+
+\def\ps@fancy{
+\def\@mkboth{\protect\markboth}
+\@ifundefined{chapter}{\def\sectionmark##1{\markboth
+{\uppercase{\ifnum \c@secnumdepth>\z@
+ \thesection\hskip 1em\relax \fi ##1}}{}}
+\def\subsectionmark##1{\markright {\ifnum \c@secnumdepth >\@ne
+ \thesubsection\hskip 1em\relax \fi ##1}}}
+{\def\chaptermark##1{\markboth {\uppercase{\ifnum \c@secnumdepth>\m@ne
+ \@chapapp\ \thechapter. \ \fi ##1}}{}}
+\def\sectionmark##1{\markright{\uppercase{\ifnum \c@secnumdepth >\z@
+ \thesection. \ \fi ##1}}}}
+\ps@@fancy
+\global\let\ps@fancy\ps@@fancy
+\headwidth\textwidth}
+\def\ps@fancyplain{\ps@fancy \let\ps@plain\ps@plain@fancy}
+\def\ps@plain@fancy{\@fancyplaintrue\ps@@fancy}
+\def\ps@@fancy{
+\def\@oddhead{\@fancyhead\@lodd\@olhead\@ochead\@orhead\@rodd}
+\def\@oddfoot{\@fancyfoot\@lodd\@olfoot\@ocfoot\@orfoot\@rodd}
+\def\@evenhead{\@fancyhead\@rodd\@elhead\@echead\@erhead\@lodd}
+\def\@evenfoot{\@fancyfoot\@rodd\@elfoot\@ecfoot\@erfoot\@lodd}
+}
+\def\@lodd{\if@reversemargin\hss\else\relax\fi}
+\def\@rodd{\if@reversemargin\relax\else\hss\fi}
+
+\let\latex@makecol\@makecol
+\def\@makecol{\let\topfloat\@toplist\let\botfloat\@botlist\latex@makecol}
+\def\iftopfloat#1#2{\ifx\topfloat\empty #2\else #1\fi}
+\def\ifbotfloat#1#2{\ifx\botfloat\empty #2\else #1\fi}
+\def\iffloatpage#1#2{\if@fcolmade #1\else #2\fi}
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/lshort-vi.tex b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/lshort-vi.tex
new file mode 100644
index 00000000000..678121ca207
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/lshort-vi.tex
@@ -0,0 +1,111 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Contents: Main Input File of the LaTeX2e Introduction
+% $Id: lshort.tex,v 1.1.1.1 2002/02/26 10:04:21 oetiker Exp $
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% lshort.tex - The not so short introduction to LaTeX
+% by Tobias Oetiker
+% tobias@ife.ee.ethz.ch
+% oetiker@dmu.ac.uk
+%
+% based on LKURTZ.TEX Uni Graz & TU Wien, 1987
+%-----------------------------------------------------------------------
+%
+% To compile lshort, you need TeX 3.x, LaTeX and makeindex
+%
+% The sources files of the Intro are:
+% lshort.tex (this file),
+% titel.tex, contrib.tex, biblio.tex
+% things.tes, typeset.tex, math.tex, lssym.tex, spec.tex,
+% lshort.sty, fancyheadings.sty
+%
+% Further the verbatim.sty and the layout.sty
+% from the LaTeX Tools distribution is
+% required.
+%
+%
+% To print the AMS symbols you need the AMS fonts and the packages
+% amsfonts, eufrak and eucal from (AMS LaTeX 1.2)
+%
+% ---------------------------------------------------------------------
+
+\ifx\printversion\undefined
+\documentclass[12pt,oneside,openany]{book}
+\else
+\documentclass[a4paper,twoside]{book}
+\usepackage[monochrome]{color}
+\fi
+
+\usepackage{lshort-vi}
+\usepackage{makeidx,shortvrb,latexsym}
+\usepackage{mylayout}
+
+% are we in pdftex ????
+%% \ifx\pdfoutput\undefined % We're not running pdftex
+%% \else
+%% \def\pdfBorderAttrs{/Border [0 0 0] } % No border around Links
+%% \fi
+
+
+\usepackage{amsmath,amssymb}
+% \usepackage[pdftex,a4paper,twoside,headheight=20pt,top=2.5cm,bottom=2.5cm]{geometry}
+
+% them vao de ho tro tieng Viet
+%\usepackage[viscii]{inputenc}
+% \usepackage[vietnam]{babel}
+% \usepackage{ucs}
+% \usepackage[utf8]{vietnam}
+
+\makeindex
+%\typeout{Copyright T.Oetiker, H.Partl, E.Schlegl, I.Hyna}
+
+\usepackage[colorlinks,draft=false,hyperindex,plainpages=false,
+pdftitle={The not so Short Introduction to LaTeX, Vietnamese edition},
+pdfauthor={T. Oetiker, H. Partl, E. Schlegl, I. Hyna, Translator Nguyen
+ Tan Khoa},
+pdfsubject={LaTeX Manual},
+pdfkeywords={LaTeX, typesetting}]{hyperref}
+\ifx\printversion\undefined
+\RequirePackage{thumbpdf}
+\hypersetup{pdfpagemode=UseThumbs}
+\fi
+\input{pd1supp.def}
+
+\begin{document}
+\selectlanguage{vietnam}
+
+\frontmatter
+\include{title}
+\include{contrib}
+\include{overview}
+
+\tableofcontents
+\listoffigures
+\listoftables
+
+\enlargethispage{\baselineskip}
+\mainmatter
+
+\include{things}
+\include{typeset}
+\include{math}
+\include{lssym}
+\include{spec}
+\include{graphic}
+\include{custom}
+\include{tiengviet}
+
+\backmatter
+\include{biblio}
+\refstepcounter{chapter}
+\addcontentsline{toc}{chapter}{Chỉ mục}
+\printindex
+\refstepcounter{chapter}
+\label{verylast}
+\mbox{}
+\end{document}
+%
+% Local Variables:
+% TeX-master: "lshort2e"
+% mode: latex
+% coding: utf-8
+% End:
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/overview.tex b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/overview.tex
new file mode 100644
index 00000000000..f7c5e3ccdd5
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/overview.tex
@@ -0,0 +1,103 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Contents: Who contributed to this Document
+% $Id: overview.tex,v 1.1.1.1 2002/02/26 10:04:21 oetiker Exp $
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Because this introduction is the reader's first impression, I have
+% edited very heavily to try to clarify and economize the language.
+% I hope you do not mind! I always try to ask "is this word needed?"
+% in my own writing but I don't want to impose my style on you...
+% but here I think it may be more important than the rest of the book.
+% --baron
+
+%\chapter{Lời giới thiệu}
+\chapter{Lời mở đầu}
+\LaTeX{} \cite{manual} là một hệ thống soạn thảo rất phù hợp với
+việc tạo ra các tài liệu khoa học và toán học với chất lượng bản
+in rất cao. Đồng thời, nó cũng rất phù hợp với các công việc soạn
+thảo các tài liệu khác từ thư từ cho đến những cuốn sách hoàn
+chỉnh. \LaTeX{} sử dụng \TeX{}~\cite{texbook} làm bộ máy định
+dạng.\\
+
+Tài liệu ngắn gọn này sẽ giới thiệu về \LaTeXe{} và nó sẽ giới
+thiệu hầu hết các ứng dụng của \LaTeX. Bạn có thể tham khảo
+thêm~\cite{manual,companion} để biết thêm chi tiết về hệ thống
+\LaTeX{}.
+
+\bigskip
+\noindent Tài liệu này được chia làm 7 chương (6 chương được dịch
+từ tài liệu gốc và 1 chương hướng dẫn sử dụng \LaTeX{} để soạn thảo tài liệu tiếng Việt):
+
+\begin{description}
+\item[Chương 1] giới thiệu cấu trúc cơ bản của các tài liệu được soạn thảo bằng \LaTeXe{}. Ngoài ra, chương này cũng giới
+thiệu sơ lược về lịch sử phát triển của \LaTeX{}. Kết thúc chương,
+bạn sẽ hiểu được cơ chế làm việc của \LaTeX{}. Đây sẽ là nền tảng
+quan trọng mà từ đó bạn có thể kết hợp với các kiến thức ở các chương
+sau để có được một cái nhìn sâu hơn về \LaTeX{}.
+
+\item[Chương 2] đi sâu vào việc soạn thảo các tài liệu. Bạn sẽ được giới thiệu về những lệnh cơ bản, phổ biến cùng với những môi trường định dạng trong \LaTeX{}. Sau khi kết thúc
+chương, bạn sẽ có thể tự soạn thảo một số kiểu tài liệu đơn giản.
+
+\item[Chương 3] hướng dẫn cách soạn thảo các công thức bằng \LaTeX.
+Chúng tôi sẽ cung cấp cho các bạn rất nhiều ví dụ minh hoạ cách sử
+dụng sức mạnh này của \LaTeX{}. Chương này sẽ được kết thúc bằng
+một bảng liệt kê tất cả các kí hiệu toán học được hỗ trợ trong
+\LaTeX{}.
+
+\item[Chương 4] nói về việc tạo chỉ mục, danh mục tài liệu tham
+khảo và thêm hình ảnh dạng EPS vào tài liệu. Chương này cũng nói về việc
+tạo một tài liệu dạng PDF với pdf\LaTeX{}, giới thiệu một số gói
+mở rộng hữu dụng như XY-pic, pdfscreen, \ldots .
+
+\item[Chương 5] hướng dẫn tạo các tập tin hình ảnh với \LaTeX{}. Bên cạnh việc sử dụng các công cụ vẽ hình bên ngoài để thiết kế hình ảnh rồi thêm vào tài liệu, bạn có thể mô tả hình ảnh và \LaTeX{} sẽ trực tiếp vẽ cho bạn.
+
+\item[Chương 6] nói về những ``nguy hiểm tìm ẩn'' của việc thay đổi
+định dạng chuẩn của \LaTeX{}. Bạn sẽ biết được những thay đổi
+không nên làm vì nó sẽ khiến cho \LaTeX{} xuất ra tài liệu kết quả
+không đẹp.
+
+\item[Chương 7] hướng dẫn cài đặt và sử dụng gói \pai{VnTeX} để
+soạn thảo tài liệu bằng tiếng Việt với \LaTeX{}.
+\end{description}
+
+\bigskip
+\noindent Bạn nên đọc tài liệu theo thứ tự các chương bởi vì tài
+liệu này không quá dài. Hãy tìm hiểu thật kỹ các ví dụ bởi lẽ chúng chứa đựng rất nhiều thông tin và sẽ được sử dụng xuyên suốt trong toàn bộ tài liệu.
+
+\bigskip
+\noindent \LaTeX{} có thể được sử dụng gần như trên mọi hệ thống máy tính, mọi hệ điều hành,
+từ máy PC, Mac đến các hệ thống máy tính lớn như UNIX và VMS. Tại các mạng máy tính trong các trường đại học, bạn có thể thấy rằng \LaTeX{} đã được cài đặt sẵn. Thông tin hướng dẫn cách thức truy cập và sử dụng được cung cấp trong phần \guide. Nếu bạn gặp khó khăn trong việc sử dụng thì hãy liên hệ với người đã đưa cho bạn quyển sách này! Việc hướng dẫn cài đặt và cấu hình \LaTeX{} không thuộc vào phạm vi giới thiệu ngắn gọn của tài liệu. Ở đây, chúng tôi chỉ tập trung giới thiệu những kiến thức cơ bản để soạn thảo tài liệu bằng \LaTeX{}.
+
+\bigskip
+\noindent Nếu bạn có nhu cầu liên quan đến \LaTeX{}, hãy tham khảo thêm tài liệu ở trang web của Comprehensive \TeX{}
+Archive Network (\texttt{CTAN}). Trang chủ được đặt tại \texttt{http://www.ctan.org}. Bạn có thể tải về tất cả các gói dữ
+liệu thông qua các chương trình FTP ở địa chỉ \texttt{ftp://www.ctan.org} hay rất nhiều địa chỉ liên kết phụ khác trên thế giới như \texttt{ftp://ctan.tug.org} (US), \texttt{ftp://ftp.dante.de} (Germany), \texttt{ftp://ftp.tex.ac.uk} (UK). Nếu bạn không ở các nước trên thì hãy lựa chọn địa chỉ nào gần bạn nhất.\\
+
+\noindent Bạn sẽ thấy những phần cần tham khảo thêm ở CTAN trong suốt tài liệu này, đặc biệt là các tham chiếu đến phần mềm và tài liệu bạn có thể tải về. Thay vì phải viết toàn bộ địa chỉ URL, chúng tôi sẽ chỉ viết \texttt{CTAN:} sau đó là vị trí trong cây thư mục ở CTAN.\\
+
+\noindent Nếu bạn muốn sử dụng \LaTeX trên máy tính cá nhân, hãy xem qua
+những thông tin ở địa chỉ \texttt{CTAN:/tex-archive/systems}.
+
+\vspace{\stretch{1}}
+
+\noindent Nếu bạn thấy rằng tài liệu này cần được bổ sung, thay đổi
+thì hãy liên hệ với chúng tôi.
+
+\bigskip
+\begin{verse}
+\contrib{Tobias Oetiker}{oetiker@ee.ethz.ch}%
+\noindent{Department of Information Technology and\\ Electrical Engineering,
+Swiss Federal Institute of Technology}
+\end{verse}
+
+\vspace{\stretch{1}}
+\noindent Tài liệu hiện thời đang có ở địa chỉ: \\
+\texttt{CTAN:/tex-archive/info/lshort}
+
+\endinput
+%
+% Local Variables:
+% TeX-master: "lshort2e"
+% mode: latex
+% coding: utf-8
+% End: \ No newline at end of file
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/spec.tex b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/spec.tex
new file mode 100644
index 00000000000..b6985a90992
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/spec.tex
@@ -0,0 +1,890 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Contents: Specialities of the LaTeX system
+% $Id: spec.tex,v 1.1.1.1 2002/02/26 10:04:21 oetiker Exp $
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\chapter{Những tính năng đặc trưng của \LaTeX{}}
+\begin{intro}
+ Khi kết hợp các phần lại với nhau thành một tài liệu lớn \LaTeX{} sẽ giúp đỡ bạn thông qua một số tính năng mạnh như việc tạo bảng chỉ mục, quản lý mục lục tài liệu tham khảo và các công việc khác. Để biết thêm chi tiết về các tính năng đặc trưng và khả năng mở rộng của \LaTeX{}, bạn có thể tham khảo thêm ở tài liệu {\normalfont\manual{}} và {\normalfont \companion}.
+\end{intro}
+
+\section{Đưa ảnh EPS vào tài liệu}\label{eps}
+\LaTeX{} cung cấp những phương tiện cơ bản để làm việc với các phần có nội dung mang tính linh động như hình ảnh hay hình đồ thị thông qua hai môi trường là \texttt{figure} và \texttt{table}.
+
+Ngoài ra, ta còn có một số cách khác để tạo ra hình ảnh dựa vào các lệnh của \LaTeX{} hay từ các gói mở rộng của \LaTeX{}. Tuy nhiên, đa số người dùng nhận xét rằng việc sử dụng các tính năng này là tương đối phức tạp, khó khăn và hơi khó hiểu. Do đó, chúng tôi quyết định không giải thích chi trong phạm vi tài liệu ngắn ngọn này. Bạn có thể tham khảo thêm trong \companion{} và \manual{} để biết thêm chi tiết về chủ đề này.
+
+Một cách tiếp cận khác đơn giản hơn là tạo ra các hình ảnh với các chương trình chuyên dụng\footnote{XFig, CorelDraw!, Freehand, Gnuplot, \ldots} sau đó đưa chúng vào tài liệu. Các gói của \LaTeX{} cung cấp rất nhiều biện pháp để thực hiện điều này. Tuy nhiên, trong khuông khổ của tài liệu này, chúng tôi chỉ trình bày về việc sử dụng các hình ành dạng \wi{Encapsulated PostScript} (EPS) bởi vì việc đưa các đối tượng này vào tài liệu là tương đối đơn giản và được sử dụng rộng rãi. Để có thể sử dụng được các hình ảnh dạng EPS, bạn cần phải có máy in hỗ trợ \wi{PostScript}\footnote{Một cách khác để xuất dạng PostScript là sử dụng phần mềm \textsc{\wi{GhostScript}} tại địa chỉ \texttt{CTAN:/tex-archive/support/ghostscript}. Người dùng Windows và OS/2 có thể cần phần mềm \textsc{GSView}.} để xuất kết quả.
+
+Một tập lệnh hỗ trợ việc đưa hình ảnh vào tài liệu làm việc khá tốt được cung cấp trong gói \pai{graphicx} được thiết kế bởi D.~P.~Carlisle. Đây là một phần của họ các gói có tên là ``graphics''.\footnote{\texttt{CTAN:/tex-archive/macros/latex/required/graphics}}
+
+\newpage
+Giả sử bạn đang làm việc trên một hệ thống có sẵn máy in PostScript và gói \textsf{graphicx}, bạn có thể tiến hành theo các bước sau để có thể đưa hình ảnh vào tài liệu:
+\begin{enumerate}
+\item Xuất kết quả trong các chương trình đồ hoạ ra dưới dạng EPS.%
+\footnote{Nếu chương trình của bạn không thể xuất dưới dạng EPS, bạn có thể thử cài đặt driver của máy in PostScript (ví dụ như máy Apple LaserWriter) và in kết quả làm việc ra tập tin với driver này. Thông thường thì tập tin này sẽ có định dạng là EPS. Lưu ý rằng một hình ảnh dạng EPS không được phép chứa nhiều hơn một trang. Một số driver của các máy in có thể được cấu hình trực tiếp để xuất ra dạng EPS.}
+%
+\item Nạp gói \textsf{graphicx} trong phần tựa đề của tập tin dữ liệu vào như sau:
+\begin{lscommand}
+\verb|\usepackage[|\emph{driver}\verb|]{graphicx}|
+\end{lscommand}
+với \emph{driver} là tên của chương trình dịch từ dạng dvi sang dạng postscript. Chương trình thường được sử dụng là \texttt{dvips}. Tên của driver là một đòi hỏi bắt buộc bởi vì không có tiểu chuẩn về cách thức một hình ảnh được đưa vào trong \TeX{}. Thông qua việc biết được tên của \emph{driver} thì gói \textsf{graphicx} sẽ xác định cách để chèn thông tin về hình ảnh vào tâp tin \eei{.dvi} để máy in có thể hiểu được và đưa tập tin \eei{.eps} vào một cách chính xác.
+
+\item Sử dụng lệnh sau:
+\begin{lscommand}
+\ci{includegraphics}\verb|[|\emph{key}=\emph{value}, \ldots\verb|]{|\emph{file}\verb|}|
+\end{lscommand}
+để đưa tập tin \emph{file} vào tài liệu. Thông số tuỳ chọn của \emph{keys} là một danh sách được phân cách bởi dấu phẩy của các giá trị \emph{values}. Các tham số \emph{keys} có thể được sử dụng để thay đổi độ rộng, cao và sự xoay vòng của hình ảnh. Bảng~\ref{keyvals} sẽ liệt kê các khoá quan trọng.
+\end{enumerate}
+
+\begin{table}[!htb]
+\caption{Tên của các khoá theo gói \textsf{graphicx}.}
+\label{keyvals}
+\begin{lined}{9cm}
+\begin{tabular}{@{}ll}
+\texttt{width}& co dãn hình ảnh theo chiều rộng yêu cầu\\
+\texttt{height}& co dãn hình ảnh theo chiều cao yêu cầu\\
+\texttt{angle}& xoay hình ảnh ngược chiều kim đồng hồ\\
+\texttt{scale}& chỉnh tỷ lệ kích thước của hình ảnh \\
+\end{tabular}
+
+\bigskip
+\end{lined}
+\end{table}
+
+\pagebreak
+Dưới đây là một ví dụ minh hoạ làm rõ tính năng trên
+\begin{code}
+\begin{verbatim}
+\begin{figure}
+\begin{center}
+\includegraphics[angle=90, width=0.5\textwidth]{test}
+\end{center}
+\end{figure}
+\end{verbatim}
+\end{code}
+Ví dụ trên sẽ đưa vào tài liệu một tập tin có tên là \texttt{test.eps}. \emph{Đầu tiên}, hình ảnh sẽ được xoay một góc
+90 độ ngược chiều kim đồng hồ. \emph{Sau đó}, nó sẽ được tăng kích thước chiều rộng lên gấp 0.5 lần chiều rộng ban đầu. Tỷ lệ là $1.0$ bởi vì ta không chỉ định về chiều cao của hình ảnh. Chiều rộng và chiều cao có thể được xác định theo những kích thước tuyệt đối. Xem thêm bảng~\ref{units} ở trang~\pageref{units} để biết thêm chi tiết. Nếu bạn muốn đi sâu vào mục này, bạn nên đọc 2 tài liệu sau: \cite{graphics} và \ci{eps}.
+
+\section{Tài liệu tham khảo}
+Bạn có thể tạo ra mục lục các tài liệu tham khảo thông qua môi trường \ei{thebibliography}. Trong môi trường này, mỗi mục sẽ được bắt đầu như sau:
+\begin{lscommand}
+\ci{bibitem}\verb|[|\emph{label}\verb|]{|\emph{marker}\verb|}|
+\end{lscommand}
+Tham số \emph{marker} được sử dụng để trích dẫn sách, bài báo hay các bài luận được sử dụng đến trong tài liệu.
+\begin{lscommand}
+\ci{cite}\verb|{|\emph{marker}\verb|}|
+\end{lscommand}
+Nếu bạn không sử dụng tuỳ chọn \emph{label}, các mục từ sẽ được liệt kê, đánh số một cách tự động. Tham số sau lệnh \verb|\begin{thebibliography}| sẽ xác định không gian dành cho phần đánh số của các nhãn (label). Trong ví dụ dưới đây, tham số \verb|{99}| sẽ cho \LaTeX{} biết rằng không có mục nào trong danh sách các tài liệu tham khảo được đánh số rộng hơn số 99.
+
+\enlargethispage{2cm}
+\begin{example}
+Phần 1~\cite{pa} cho rằng \ldots
+\begin{thebibliography}{99}
+\bibitem{pa} H.~Partl:
+\emph{German \TeX}, TUGboat Quyển~9,
+phát hành lầne~1 (1988)
+\end{thebibliography}
+\end{example}
+
+\chaptermark{Specialities} % w need to fix the damage done by the
+ %bibliography example.
+\thispagestyle{fancyplain}
+
+\newpage
+Đối với các dự án lớn, có lẽ bạn sẽ cần kiểm tra chương trình Bib\TeX{}. Bib\TeX{} được cung cấp kèm theo với hầu hết các phiên bản được phân phối của \TeX{}. Chương trình này sẽ giúp bạn bảo quản cơ sở dữ liệu về tài liệu tham khảo và đưa các tham chiếu tương ứng vào tài liệu. Phần mềm Bib\TeX{} dựa vào khái niệm ``style sheet'' để tạo ra các mục lục tài liệu tham khảo trực quan. Khái niệm ``style sheet'' cho phép mục lục tài liệu tham khảo được xây dựng dựa vào các mẫu đã được định sẵn.
+
+\section{Tạo chỉ mục} \label{sec:indexing}
+Đối với các tài liệu hoàn chỉnh thì phần \wi{chỉ mục} đóng một vai trò hết sức quan trọng. Với \LaTeX{} và chương trình hỗ trợ việc tạo chỉ mục \texttt{makeindex},\footnote{Trên các hệ thống không hỗ trợ tập tin có tên dài hơn 8~kí tự, chương trình được gọi là \texttt{makeidx}.}, việc tạo chỉ mục cho một tài liệu trở nên hết sức đơn giản. Phần này chỉ giới thiệu sơ qua những lệnh cơ bản hỗ trợ việc tạo các chỉ mục. Để có được một cái nhìn sâu sắc hơn, bạn có thể tham khảo thêm tài liệu \companion. \index{tạo chỉ mục}. \index{gói makeidx}
+
+Để kích hoạt tính năng tạo chỉ mục của \LaTeX{}, bạn cần phải sử dụng vào gói \pai{makeidx} trong phần tựa đề của tài liệu.
+\begin{lscommand}
+\verb|\usepackage{makeidx}|
+\end{lscommand}
+\noindent đổng thời, bạn phải kích hoạt các lệnh tạo chỉ mục bằng cách sử dụng lệnh:
+\begin{lscommand}
+ \ci{makeindex}
+\end{lscommand}
+\noindent trong phần tựa đề của tài liệu.\\
+
+\noindent Nội dung của chỉ mục sẽ được xác định với lệnh:
+\begin{lscommand}
+ \ci{index}\verb|{|\emph{key}\verb|}|
+\end{lscommand}
+\noindent Trong đó, tham số \emph{key} là mục từ trong từ điển các
+chỉ mục. Bạn sẽ nhập vào lệnh \verb|\index{...}| tại vị trí mà bạn
+muốn mục từ trong bảng chỉ mục sẽ trỏ đến. Bảng~\ref{index} sẽ
+giải thích thêm về tham số \emph{key} thông qua một vài ví dụ.
+
+\begin{table}[!tbp]
+\caption{Cú pháp của việc tạo chỉ mục.} \label{index}
+\begin{center}
+\begin{tabular}{@{}lll@{}}
+ \textbf{Ví dụ} &\textbf{Mục từ} &\textbf{Chú thích}\\\hline
+ \rule{0pt}{1.05em}\verb|\index{hello}| &hello, 1 &Một mục từ đơn thuần\\
+\verb|\index{hello!Peter}| &\hspace*{2ex}Peter, 3 &Mục từ con của mục từ `hello'\\
+\verb|\index{Sam@\textsl{Sam}}| &\textsl{Sam}, 2& Mục từ được định dạng\\
+\verb|\index{Lin@\textbf{Lin}}| &\textbf{Lin}, 7& Giống như trên\\
+\verb.\index{Jenny|textbf}. &Jenny, \textbf{3}& Định dạng số trang\\
+\verb.\index{Joe|textit}. &Joe, \textit{5}& Giống như trên\\
+\verb.\index{eolienne@\'eolienne}. &\'eolienne, 4& Điều khiển
+các dấu
+\end{tabular}
+\end{center}
+\end{table}
+
+Khi tập tin dữ liệu vào được xử lý bởi \LaTeX{}, mỗi lệnh \verb|\index| sẽ ghi một mục từ tương ứng cùng với số trang hiện
+tại vào danh sách các mục từ trong một tập tin đặc biệt. Tập tin này sẽ có tên trùng với tập tin dữ liệu vào nhưng khác ở phần mở rộng (\verb|.idx|). Tiếp theo, tập tin \eei{.idx} này sẽ được xử lý bởi chương trình \texttt{makeindex}.
+\begin{lscommand}
+ \texttt{makeindex} \emph{tên tập tin}
+\end{lscommand}
+Chương trình \texttt{makeindex} sẽ tạo ra một danh sách các chỉ mục được sắp xếp trong tập tin có tên tương tự nhưng khác phần mở rộng (\eei{.ind}). Nếu chương trình \LaTeX{} lại được gọi để xử lý tập tin dữ liệu vào ban đầu thì bảng chỉ mục đã được sắp xếp này sẽ được đưa vào tài liệu tại vị trí mà \LaTeX{} tìm thấy lệnh
+\begin{lscommand}
+ \ci{printindex}
+\end{lscommand}
+Gói \pai{showidx} đi kèm với \LaTeXe{} sẽ in ra tất cả các mục từ ở cột bên trái của phần văn bản. Điều này rất thuận lợi cho việc kiểm tra lại việc tạo các chỉ mục.
+
+Lưu ý rằng việc sử dụng lệnh \ci{index} một cách không cẩn thận có thể ảnh hưởng đến cách trình bày tài liệu.
+\begin{example}
+Ý tôi \index{ý tôi}. Khác với
+ý tôi\index{ý tôi}. Bạn cần chú ý
+đến vị trí của dấu chấm câu.
+\end{example}
+
+
+\section{Trang trí đầu đề của các trang}
+\label{sec:fancy} Gói \pai{fancyhdr}\footnote{có tại địa chỉ \texttt{CTAN:/tex-archive/macros/latex/contrib/supported/fancyhdr}.} được viết bởi Piet van Oostrum, cung cấp cho ta một số lệnh đơn giản để tuỳ biến phần tựa đề và chân của các trang trong tài liệu. Hãy nhìn vào phần tựa đề và phần chân của các trang trong tài liệu này, bạn sẽ thấy tính hữu dụng của gói này.
+\begin{figure}[!htbp]
+\begin{lined}{\textwidth}
+\begin{verbatim}
+\documentclass{book}
+\usepackage{fancyhdr}
+\pagestyle{fancy}
+% xác định rằng phần tựa đề và phần chân của trang
+% sẽ được viết thường.
+\renewcommand{\chaptermark}[1]{\markboth{#1}{}}
+\renewcommand{\sectionmark}[1]{\markright{\thesection\ #1}}
+\fancyhf{} % xoá các định dạng hiện tại đối với phần tựa đề trang
+\fancyhead[LE,RO]{\bfseries\thepage}
+\fancyhead[LO]{\bfseries\rightmark}
+\fancyhead[RE]{\bfseries\leftmark}
+\renewcommand{\headrulewidth}{0.5pt}
+\renewcommand{\footrulewidth}{0pt}
+\addtolength{\headheight}{0.5pt} % tạo khoảng trống cho vạch ngang
+\fancypagestyle{plain}{%
+ \fancyhead{} % chỉnh phần tựa đề cho trang trắng
+ \renewcommand{\headrulewidth}{0pt} % và đường kẻ ngang
+}
+\end{verbatim}
+\end{lined}
+\caption{Ví dụ về cách sử dụng gói \pai{fancyhdr}.}
+\label{fancyhdr}
+\end{figure}
+Vấn đề tinh xảo của việc tạo tựa đề và phần chân của các trang là việc đưa vào tên của mục hay chương hiện tại. \LaTeX{} xử lý việc này theo hai bước. Trong định nghĩa của phần tựa đề, phần chân của trang, bạn sử dụng lệnh \ci{rightmark} và \ci{leftmark} để cho biết mục và chương tương ứng hiện tại. Hai lệnh này sẽ xuất ra mục hay chương mới khi lệnh tạo mục hay chương mới được xử lý.
+
+Lệnh \verb|\chapter| và các lệnh có tác dụng tương tự khác không tự định nghĩa lại lệnh \ci{rightmark} và \ci{leftmark}. Chúng gọi lệnh khác (như là \ci{chaptermark}, \ci{sectionmark} hay \ci{subsectionmark}) để định nghĩa lại lệnh \ci{rightmark} và \ci{leftmark}.
+
+Nếu bạn muốn thay đổi phong cách thể hiện tên chương trong phần tựa đề của trang, bạn ``chỉ cần'' định nghĩa lại lệnh
+\ci{chaptermark}. \cih{sectionmark}\cih{subsectionmark}.
+
+Hình~\ref{fancyhdr} liệt kê các tham số có thể sử dụng trong \pai{fancyhdr} để làm cho chúng trông giống như phần tựa đề, chân của cuốn sách này. Theo tôi, bạn nên sử dụng các kiểu định dạng được đề nghị trong phần chú thích.
+
+\section{Môi trường hỗ trợ trích đúng nguyên văn}
+Trong các phần trước của tài liệu, bạn đã có dịp tiếp xúc với \emph{môi trường} \ei{verbatim}. Trong mục này, bạn sẽ học cách sử dụng \emph{gói} \pai{verbatim}. Gói \pai{verbatim} là một sự bổ sung cho môi trường \ei{verbatim}. Nó giúp giải quyết một số các hạn chế của môi trường \ei{verbatim}. Bản thân của môi trường này không có gì là đặc biệt nhưng sự bổ sung của nó: gói \pai{verbatim} đã thêm vào một số tính năng mới rất hữu dụng. Gói \pai{verbatim} cung cấp lệnh
+
+\begin{lscommand}
+\ci{verbatiminput}\verb|{|\emph{tên tập tin}\verb|}|
+\end{lscommand}
+\noindent nhằm cho phép đưa vào phần văn bản nguyên mẫu trong tập tin có tên \emph{tên tập tin} vào tài liệu (bên trong môi trường \ei{verbatim}).
+
+Vì gói \pai{verbatim} là một phần của bộ công cụ cho nên nó sẽ được cài đặt sẵn trên hầu hết các hệ thống \LaTeX{}. Bạn có thể tham khảo thêm thông tin chi tiết về gói này bạn nên đọc tài liệu \cite{verbatim}.
+
+
+\section{Tải về và cài đặt các gói của \LaTeX{}}
+Hầu hết các bản cài đặt của \LaTeX{} đều đi kèm với một số lượng lớn các gói phục vụ việc định dạng tài liệu. Tuy nhiên, một số gói hữu dụng khác phải được tải về từ mạng. Nơi mà bạn có thể tìm thấy hầu hết các tiện ích này là CTAN (\verb|http://www.ctan.org/|).
+
+Các gói như \pai{geometry}, \pai{hyphenat}, và một số gói khác thường được tạo thành từ hai tập tin: một tập tin với phần mở rộng là \texttt{.ins} và tập tin kia có phần mở rộng là \texttt{.dtx}. Thường thì đi kèm với các gói còn có tập tin hướng dẫn như \texttt{readme.txt}. Bạn nên đọc kĩ tập tin này.
+
+Trong bất kỳ trường hợp nào thì sau khi tải về các gói mở rộng, bạn cần phải thực hiện hai thao tác sau:
+\begin{enumerate}
+\item Cho hệ thống \TeX{} sẵn có biết về sự tồn tại của gói mới này trên hệ thống của bạn.
+\item Biên dịch tập tin tải về để biết thêm chi tiết.
+\end{enumerate}
+Dưới đây là cách thực hiện thao tác thứ nhất:
+
+\begin{enumerate}
+\item Dùng \LaTeX{} để dịch tập tin \texttt{.ins}. Quá trình này sẽ trích ra một tập tin dạng \eei{.sty}.
+\item Chuyển tập tin dạng \eei{.sty} đến thư mục mà phiên bản \TeX{} trên máy bạn có thể tìm thấy chúng (thông thường thì bạn nên đặt nó trong thư mục \texttt{\ldots/\emph{localtexmf}/tex/latex}.
+\item Cập nhật lại cơ sở dữ liệu lưu trữ các tập tin trong phiên bản \TeX{} trên máy của bạn. Tuỳ theo các phiên bản của \LaTeX{} mà bạn có thể sử dụng các lệnh tương ứng như: với teTeX, fpTeX là \texttt{texhash}; web2c là
+\texttt{maktexlsr}; MikTeX là \texttt{initexmf -update-fndb} hay sử dụng giao diện đồ họa.
+\end{enumerate}
+
+\noindent Bây giờ bạn có thể trích tài liệu hướng dẫn của gói từ tập tin dạng \texttt{.dtx}:
+
+\begin{enumerate}
+\item Chạy \LaTeX{} đối với tập tin \texttt{.dtx}. Kết quả tạo ra là tập tin \texttt{.dvi}. Lưu ý rằng có thể bạn sẽ phải chạy
+\LaTeX{} nhiều lần để các tham chiếu chéo được chính xác.
+\item Kiểm tra xem \LaTeX{} có tạo ra tập tin \texttt{.idx} hay không. Nếu bạn không tin thấy tập tin này thì bạn có thể tiến hành bước ~\ref{step:final}.
+\item Để tạo ra tập tin chỉ mục, sử dụng lệnh sau:\\
+\fbox{\texttt{makeindex -s gind.ist \textit{tên tập tin}}}\\
+(với \textit{tên tập tin} là tên của tập tin chính (không có phần mở rộng)).
+\item Chạy \LaTeX{} để dịch tập tin \texttt{.dtx} thêm một lần nữa. \label{step:next}.
+\item Tạo tập tin dạng \texttt{.ps} hay \texttt{.pdf} để việc xem được dễ dàng và đẹp mắt hơn.\label{step:final}
+\end{enumerate}
+
+Đôi khi bạn sẽ thấy rằng \LaTeX{} cũng tạo ra tập tin \texttt{.glo} (tự điển thuật ngữ). Dùng lệnh sau ở giữa
+bước~\ref{step:next} và~\ref{step:final}: \noindent\texttt{makeindex -s gglo.ist -o \textit{name}.gls
+\textit{name}.glo}
+
+\noindent Nhớ dùng \LaTeX{} để dịch tập tin \texttt{.dtx} lần cuối trước khi thực hiện bước~\ref{step:final}.
+
+
+
+\section{Làm việc với pdf\LaTeX} \label{sec:pdftex}\index{PDF}
+\secby{Daniel Flipo}{Daniel.Flipo@univ-lille1.fr}
+PDF là một kiểu định dạng tài liệu \wi{siêu văn bản}. Giống như các trang web, một số từ trong tài liệu dạng PDF sẽ được đánh dấu như các siêu liên kết. Chúng sẽ liên kết đến các vị trí khác trong tài liệu hay thậm chí là trong các tài liệu khác. Khi bạn nhấn chuột vào các siêu liên kết này, bạn sẽ được chuyển đến vị trí liên kết tương ứng. Đối với \LaTeX{} thì điều này có nghĩa là các lệnh \ci{ref} và \ci{pageref} sẽ đưa vào các siêu liên kết. Do đó bảng nội dung, chỉ mục và các cấu trúc tương tự khác trở thành một tập hợp của các siêu liên kết.
+
+Hiện nay, hầu hết các trang web đều được viết bằng ngôn ngữ HTML (\emph{HyperText Markup Language}). Kiểu định dạng theo ngôn ngữ này có hai điểm bất lợi khi soạn thảo các tài liệu khoa học:
+\begin{enumerate}
+\item Nói chung thì việc đưa các công thức toán học vào tài liệu HTML không được hỗ trợ. Mặc dù chúng ta đã có chuẩn để thực hiện điều này nhưng hầu hết các trình duyệt hiện nay chưa hỗ trợ hay thiếu các font chữ cần thiết.
+\item Việc in ấn các tài liệu HTML thật đơn giản nhưng kết quả xuất ra lại phụ thuộc rất nhiều vào hệ điều hành và trình duyệt. Điều này có nghĩa là các bản in của cùng một tài liệu có thể trông rất khác nhau. Bên cạnh đó chất lượng của bản in sẽ kém xa so với \LaTeX{}.
+\end{enumerate}
+Hiện nay, người ta đã có rất nhiều cố gắng để tạo ra các chương trình chuyển từ tập tin \LaTeX{} sang tập tin HTML. Trong số đó có một số chương trình thực hiện tương đối thành công việc tạo ra các trang web rõ ràng, dễ đọc từ một tài liệu được soạn thảo bằng \LaTeX{}. Tuy nhiên, hầu hết các phần mềm đều không làm tốt vì chúng không thể giữ nguyên định dạng ban đầu. Đối với các tài liệu sử dụng các tính năng phức tạp của \LaTeX{} và các gói mở rộng thì các chương trình chuyển từ \LaTeX{} sang HTML không thể thực hiện tốt việc chuyển đổi. Do đó, đối với các tác giả muốn đưa tài liệu của mình lên web nhưng muốn giữ nguyên cách trình bày bản in với chất lượng cao đã lựa chọn PDF (\emph{Portable Document Format})
+như là một giải pháp tốt. Hơn nữa, hầu hết các trình duyệt web ngày nay đều hỗ trợ việc đọc tài liệu dạng này sau khi cài thêm một phần mở rộng cần thiết.
+
+Khác với các địng dạng DVI và PS, tài liệu dạng PDF có thể được xem và in ấn trên hầu hết các hệ điều hành (Unix, Mac, Windows) nhờ vào phần mềm Adobe Acrobat Reader hay xpdf (có thể tải về miễn phí từ trang web của Adobe). Do đó việc phân phối tài liệu theo định dạng PDF sẽ độc giả đến với tài liệu của bạn một cách dễ dàng hơn rất nhiều.
+
+\subsection{Các tài liệu PDF dành cho Web}
+Việc tạo ra tập tin PDF từ tập tin nguồn của \LaTeX{} đã trở nên rất dễ dàng nhờ vào phần mềm pdf\TeX{} được thiết kế bởi Hàn Thế Thành. pdf\TeX{} tạo ra tập tin đầu ra dạng PDF còn \TeX{} sẽ tạo ra tập tin dạng DVI. Ngoài ra, ta cũng có bản pdf\LaTeX{} có tác dụng tạo ra tập tin PDF từ tập tin nguồn của \LaTeX{}.\index{pdftex@pdf\TeX}\index{pdftex@pdf\LaTeX{}}
+
+Cả hai bản pdf\TeX{} và pdf\LaTeX{} đều được cài đặt sẵn đối với các phiên bản mới của \TeX{} như là te\TeX{}, fp\TeX{}, Mik\TeX, \TeX{}Live và CMac\TeX{}.
+
+Để tạo ra tập tin PDF thay vì tập tin DVI, bạn chỉ cần thay lệnh \texttt{latex file.tex} bằng lệnh \texttt{pdflatex file.tex}. Trên các hệ thống mà \LaTeX{} không được gọi từ dòng lệnh, bạn có thể tìm thấy được nút điều khiển tương ứng với lệnh này.
+
+Trong \LaTeX{}, bạn có thể đặt kích thước trang giấy (như \texttt{a4paper} hay \texttt{letterpaper}) thông qua tham số tùy
+chọn của lệnh \verb|\documentclass{..}|. Các lệnh trên cũng làm việc với pdf\LaTeX{}. Ngoài ra, pdf\LaTeX{} còn cần phải biết thêm kích thước của trang giấy chứ không chỉ phần diện tích được dùng để trình bày tài liệu.\index{paper size} Khi sử dụng gói \pai{hyperref} (xem thêm trang \pageref{ssec:pdfhyperref}), kích thước của trang có thể được thay đổi một cách tự động. Nếu không, bạn sẽ phải tự điều chỉnh kích thước trang giấy bằng cách đưa và các lệnh sau trong phần tựa đề của tài liệu:
+\begin{code}
+\begin{verbatim}
+\pdfpagewidth=\paperwidth
+\pdfpageheight=\paperheight
+\end{verbatim}
+\end{code}
+Mục này sẽ không đi sâu vào chi tiết liên quan đến sự khác nhau giữa \LaTeX{} và pdf\LaTeX{}. Những khác biệt chính liên quan đến 3 vấn đề sau: việc sử dụng font chữ, định dạng của hình ảnh đưa vào và việc tự cấu hình các siêu liên kết.
+
+\subsection{Các font chữ}
+\wi{pdf\LaTeX} có thể làm việc với tất cả các kiểu font chữ (PK bitmaps, TrueType, PostScript type~1\dots) nhưng chủ yếu là định dạng font của của \LaTeX{}, font PK dạng bitmap cho ra kết quả rất xấu khi tài liệu được xem bằng Acrobat Reader. Để có tài liệu đẹp mắt thì chỉ nên sử dụng các font chữ dạng PostScript Type 1. \emph{Các bản cài đặt mới của \TeX{} sẽ tự động cấu hình việc này. Nếu mọi thứ vận hành tốt thì bạn có thể bỏ qua cả mục này.}
+
+Chúng ta sẽ không bàn về font chữ trong tài liệu này vì tự \LaTeX{} đã làm tốt việc xử lý các font chữ cũng như việc sử dụng
+bộ font chữ riêng của nó để đáp ứng yêu cầu của việc soạn thảo và in ấn các tài liệu khoa học.
+
+Bộ font \PSi{} dựa vào font chữ Computer Modern và AMSFonts được xây dựng bởi Blue Sky Research và Y\&Y, Inc. Sau đó họ đã chuyển bản quyền sang cho American Mathemcatical Society. Các font chữ này đã được công bố rộng rãi từ năm 1997 và được phân phối kèm theo các phiên bản của \TeX{}.
+
+Tuy nhiên để soạn thảo tài liệu bằng các ngôn ngữ khác với tiếng Anh bạn cần sử dụng bộ font chữ EC, LH hay CB (xem thêm phần nói về font chữ \texttt{OT1} ở trang~\pageref{OT1}). Vladimir Volovich đã tạo ra nhóm font chữ cm-super bao gồm toàn bộ font EC/TC, EC Concrete, EC Bright và LH. Bạn có thể tải về ở địa chỉ \texttt{CTAN:/fonts/ps-type1/cm-super}. Ngoài ra nó cũng được thêm \TeX{}Live7 và Mik\TeX. Apostolos Syropoulos cũng tạo ra bộ font type~1 CB tiếng Hy Lạp và có thể tải về ở địa chỉ \texttt{CTAN:/tex-archive/fonts/greek/cb}. Tuy nhiên, cả hai bộ font chữ này không có cùng chất lượng in ấn như bộ font chữ Type1 CM của Blue Sky/Y\&Y.
+
+Đối với các tài liệu sử dụng các ngôn ngữ gốc Latin bạn có một số tuỳ chọn khác.
+
+%Hiện nay, ta có 2 tập hợp font chữ của \TeX{}: \emph{Computer Modern} (CM), gồm 128 kí tự và được xem là bộ font mặc định. Bộ font thứ hai là \emph{Extended Cork} (EC), bao gồm 256 kí tự. Điểm đặc trưng của bộ font EC là có chứa tất cả các kí tự đặc biệt của các ngôn ngữ-đặc biệt là các kí tự thể hiện dấu trọng âm trong các ngôn ngữ ở châu Âu như là \"a hay \'e. Điều này cho phép việc ngắt quãng các từ ngữ có các chữ cái đặc biệt này. Bạn có thể kích hoạt việc sử dụng bộ font này với lệnh \verb+\usepackage[T1]{fontenc}+ ở phần tựa đề của tài liệu (xem thêm trang \pageref{fontenc}). Thật không may là không có bộ font PostScript Type 1 miễn phí nào cho tập các kí tự EC. Tuy nhiên, có hai phương pháp có thể giải quyết vấn đề này:
+\begin{itemize}
+ \item Bạn có thể sử dụng gói \pai{aeguill}, \emph{Almost European Computer Modern with Guillements}. Bạn chỉ cần thêm dòng \verb+\usepackage{aeguill}+\paih{aeguill} vào phần tựa đề để sử dụng bộ font chữ ảo AE thay vì bộ font EC.
+ \item Ngoài ra, bạn có thể sử dụng gói \pai{mltex}. Tuy nhiên cách này chỉ có tác dụng khi bạn biên dịch pdf\TeX{} với tham số \wi{mltex}.
+\end{itemize}
+
+Tương tự như hệ thống {Ml\TeX{}}, bộ font chữ ảo AE làm cho \TeX{} tin rằng nó có đầy đủ 256 kí tự bằng cách tạo ra các kí tự bị thiếu trong bộ font CM và thêm vào theo trình tự của font EC. Điều này cho phép chương trình sử dụng bộ font có chất lượng rất cao là type~1 CM. Vì các font chữ có tuân theo encoding T1 nên tính năng tự ngắt từ sẽ hoạt động rất tốt đối với các ngôn ngữ Châu Âu có gốc Latin. Hạn chế duy nhất của hướng tiếp cận này là tính năng tìm kiếm của phần mềm Acrobat Reader không hoạt động được khi bạn cần tìm kiếm nội dung có các kí tự có dấu.
+
+Đối với tiếng Nga thì bạn có một giải pháp tương tự là sử dụng bộ font chữ ảo C1, bộ font này có thể tải về ở \texttt{ftp://ftp.vsu.ru/pub/tex/font-packs/c1fonts}. Các font chữ này kết hợp bộ font type~1 chuẩn CM của Bluesky và các font chữ type~1 CMCYR của Paradissa và BaKoMa.
+
+Một giải pháp khác là không sử dụng bộ font CM mà chuyển sang sử dụng các font \PSi{} type~1. Hiện nay, một số font chữ dạng này được cung cấp kèm theo với Acrobat Reader. Bộ font này có kích thước các kí tự khác nhau do đó việc trình bày tài liệu sẽ có chút thay đổi. Thông thường, bộ font chữ này sử dụng nhiều khoảng không hơn các font chữ CM (các font chữ CM rất tiết kiệm khoảng không). Ngoài ra, tính mạch lạc tổng thể của tài liệu cũng bị ảnh hưởng bởi vì các font chữ như Times, Helvetica và Courier (các font chính cần thay đổi) không được thiết kế để trình bày một cách cân đối trong một tài liệu như là các font chữ CM.
+
+Ngoài ra, còn có 2 bộ font chữ nữa đáp ứng yêu cầu này: \pai{pxfonts}, dựa trên font \emph{Palatino} để định dạng cho văn
+bản trong phần thân của tài liệu và gói \pai{txfonts}, dựa trên font \emph{Times}. Để sử dụng hai gói này, ta chỉ cần thêm vào các hàng sau ở phần tựa đề của tài liệu.
+\begin{code}
+\begin{verbatim}
+\usepackage[T1]{fontenc}
+\usepackage{pxfonts}
+\end{verbatim}
+\end{code}
+
+Bạn có thể thấy cảnh báo sau khi biên dịch tập tin nguồn
+\begin{verbatim}
+Warning: pdftex (file eurmo10): Font eurmo10 at ... not found
+\end{verbatim}
+\noindent trong tập tin có phần mở rộng là \texttt{.log}. Điều này có nghĩa là một số font chữ được sử dụng ở đây đã không được tìm thấy. Bạn cần phải sửa các lỗi này nếu không thì trong tài liệu dạng PDF các trang có các kí tự bị thiếu sẽ không được hiển thị.
+
+Việc thiếu các font chữ EC có chất lượng tương đương với các font chữ CM type~1 luôn được mọi người quan tâm. Do đó, các giải pháp cho vấn đề này sẽ xuất hiện theo thời gian.
+
+\subsection{Sử dụng hình ảnh}
+\label{ssec:pdfgraph} Việc đưa hình ảnh vào trong tài liệu được hỗ trợ tốt nhất với gói \pai{graphicx} (xem trang~\pageref{eps}). Thông qua việc sử dụng các \emph{driver đặc biệt} là \texttt{pdftex}, gói \pai{graphicx} cũng sẽ làm việc tốt với pdf\LaTeX{}:
+
+\begin{code}
+\begin{verbatim}
+\usepackage[pdftex]{color,graphicx}
+\end{verbatim}
+\end{code}
+Trong ví dụ trên, ta đã đưa vào tuỳ chọn màu bởi việc sử dụng màu sắc trong tài liệu đã trở nên ngày càng phổ biến.
+
+Một trong những vấn đề ở đây là dạng EPS (Encapsulated Postscript) \emph{không được hỗ trợ} trong các tập tin dạng PDF. Nếu bạn không định nghĩa một tập tin mở rộng trong lệnh \ci{includegraphics}, gói \pai{graphicx} sẽ tự động tìm tập tin thích hợp (phụ thuộc vào việc chọn \emph{driver}. Đối với \texttt{pdftex}, định dạng của tập tin này có thể là \texttt{.png}, \texttt{.pdf}, \texttt{.jpg}, \texttt{.mps} (MetaPost) và \texttt{.tif}--- nhưng không là \texttt{.eps}.
+
+Giải pháp đơn giản cho vấn đề này là chuyển các tập tin dạng EPS sang dạng PDF thông qua việc sử dụng tiện ích \texttt{epstopdf}. Đối với các đối tượng hình học vectơ (các hình vẽ), đây là một giải pháp tốt. Tuy nhiên, đối với các dạng bitmap (ảnh, hình được quyét từ ngoài vào) thì giải pháp này không thật sự thuyết phục bởi vì bản thân định dạng PDF đã hỗ trợ việc đưa vào các tập tin PNG và JPEG (PNG thích hợp cho các ảnh có ít màu còn JPEG thích hợp cho các ảnh chụp vì chúng chiếm rất ít chỗ).
+
+Đôi khi, ta không cần vẽ các hình hình học mà chỉ cần mô tả chúng với các ngôn ngữ đặc biệt (như là \MP\index{metapost@\MP}). Ngôn ngữ này có thể được tìm thấy ở hầu hết các phiên bản được phân phối
+của \TeX{} cùng với bản hướng dẫn chi tiết.
+
+\subsection{Các siêu liên kết}
+\label{ssec:pdfhyperref} Gói \pai{hyperref} sẽ đảm nhiệm việc chuyển các tham chiếu trong tài liệu thành siêu liên kết. Để hoàn tất công việc này, ta cần thực hiện một số thao tác hỗ trợ. Bạn cần phải đưa lệnh \verb+\usepackage[pdftex]{hyperref}+ vào vị trí cuối cùng của phần tựa đề của tài liệu.
+
+Lệnh này có nhiều tham số để tuỳ biến cách làm việc của gói \pai{hyperref}:
+
+\begin{itemize}
+\item một danh sách được phân cách bởi dấu phẩy ở phía sau phần tuỳ chọn của pdftex\\ \verb+\usepackage[pdftex]{hyperref}+
+\item hay các hàng riêng biệt với lệnh
+\verb+\hypersetup{+\emph{options}\verb+}+.
+\end{itemize}
+Mục chọn duy nhất được yêu cầu là \texttt{pdftex}; các mục chọn khác là tuỳ ý và cho phép bạn thay đổi cách làm việc bình thường của gói \pai{hyperref}.\footnote{Bạn cần lưu ý rằng gói \pai{hyperref} không chỉ làm việc với pdf\TeX{}. Gói này cũng có thể được cấu hình để nhúng thông tin riêng dạng PDF vào tập tin DVI của \LaTeX{} (tập tin này sẽ được đưa vào tập tin PS với lệnh \texttt{dvips} và cuối cùng được xử lý Adobe Distiller khi nó chuyển tập tin dạng PS sang PDF.)} Dưới đây là danh sách các giá trị mặc định:
+\begin{description}
+ \item[\texttt{bookmarks (=true,\textit{false})}] hiển thị hay
+ không hiển thị của sổ Bookmark khi hiển thị tài liệu.
+ \item[\texttt{unicode (=false,\textit{true})}] cho phép sử dụng các kí tự không có trong ngôn ngữ gốc Latin trong phần bookmarks của Acrobat.
+ \item [\texttt{pdftoolbar (=true,\textit{false})}] hiển thị hay không hiển thị thanh công cụ của Acrobat khi xem.
+ \item [\texttt{pdfmenubar (=true,\textit{false})}] hiển thị hay không hiển thị menu của Acrobat.
+ \item [\texttt{pdffitwindow (=true,\textit{false})}] chỉnh kích thước phóng đại ban đầu khi tập tin pdf được xem.
+ \item [\texttt{pdftitle (=\{texte\})}] xác định nội dung được hiển thị trong cửa sổ \texttt{Document Info} của Acrobat.
+ \item [\texttt{pdfauthor (=\{texte\})}] Tên của tác giả.
+ \item [\texttt{pdfnewwindow (=true,\textit{false})}] xác định xem một cửa sổ mới có được tạo hay không khi liên kết vượt khỏi giới hạn của tài liệu.
+ \item [\texttt{colorlinks (=true,\textit{false})}] hiển thị ``vùng'' liên kết bằng màu. Các màu sắc của các liên kết có thể
+ được chọn như sau:
+ \begin{description}
+ \item [\texttt{linkcolor (=color,\textit{red})}] màu sắc của
+ các liên kết ở bên trong của tài liệu (như mục, chương, trang,
+ \ldots).
+ \item [\texttt{citecolor (=color,\textit{green})}] màu của các
+ liên kết đến các trích dẫn (trong danh mục các tài liệu tham
+ khảo).
+ \item [\texttt{filecolor (=color,\textit{magenta})}] màu của
+ các liên kết đến tập tin.
+ \item [\texttt{urlcolor (=color,\textit{cyan})}] màu của các
+ liên kết đến các địa chỉ URL (liên kết đến hộp thư, địa chỉ web).
+ \end{description}
+\end{description}
+
+\vspace{\baselineskip}
+
+Nếu bạn thấy hài lòng với các định dạng mặc định thì chỉ việc sử
+dụng như sau:
+\begin{code}
+\begin{verbatim}
+\usepackage[pdftex]{hyperref}
+\end{verbatim}
+\end{code}
+
+Để danh sách các bookmark được liệt kê chi tiết và các liên kết có
+màu (giá trị \texttt{=true} là mặc định):
+\begin{code}
+\begin{verbatim}
+\usepackage[pdftex,bookmarks,colorlinks]{hyperref}
+\end{verbatim}
+\end{code}
+
+Khi tạo ra các tập tin PDF để in ấn, bạn không nên làm cho các liên kết có màu bởi vì chúng sẽ trở thành màu xám
+khi được in ra (chúng trở nên khó đọc và không đẹp mắt).
+\begin{code}
+\begin{verbatim}
+\usepackage{hyperref}
+\hypersetup{colorlinks,%
+ citecolor=black,%
+ filecolor=black,%
+ linkcolor=black,%
+ urlcolor=black,%
+ pdftex}
+\end{verbatim}
+\end{code}
+
+Để cung cấp thông tin cho phần \texttt{Document Info} của tập tin PDF, bạn thực hiện như sau:
+\begin{code}
+\begin{verbatim}
+\usepackage[pdfauthor={Pierre Desproges}%
+ pdftitle={Des femmes qui tombent},%
+ pdftex]{hyperref}
+\end{verbatim}
+\end{code}
+
+\vspace{\baselineskip}
+
+Để bổ sung cho các siêu liên kết tự động đối với các tham chiếu chéo, bạn có thể đưa vào các liên kết tường minh như sau:
+\begin{lscommand}
+\ci{href}\verb|{|\emph{url}\verb|}{|\emph{text}\verb|}|
+\end{lscommand}
+
+Đoạn mã sau
+\begin{code}
+\begin{verbatim}
+Trang web \href{http://www.ctan.org}{CTAN}.
+\end{verbatim}
+\end{code}
+sẽ cho kết quả là ``\href{http://www.ctan.org}{CTAN}''; nhấn chuột vào từ ``\textcolor{magenta}{CTAN}'' sẽ đưa bạn đến với trang web của CTAN.
+
+Nếu liên kết không hướng đến một địa chỉ URL mà là một tập tin trên máy thì bạn có thể sử dụng lệnh sau:
+\begin{verbatim}
+ Bạn có thể xem tài liệu đầu đủ \href{manual.pdf}{ở đây}.
+\end{verbatim}
+Khi này, kết quả xuất ra là: ``Bạn có thể xem tài liệu đầy đủ \href{manual.pdf}{ở đây}''. Nhấn chuột vào ``\textcolor{cyan}{ở đây}'' sẽ mở tập tin \texttt{manual.pdf}. (Tập tin sẽ nằm trong thư mục của tài liệu hiện thời).
+
+Tác giả của một bài báo có thể cung cấp địa chỉ e-mail của mình để người đọc có thể liên hệ với tác giả thông qua lệnh \ci{href} bên trong lệnh \ci{author} trong phần tựa đề của trang trong tài liệu:
+\begin{code}
+\begin{verbatim}
+\author{Nguyễn Tân Khoa $<$\href{mailto:tankhoasp@yahoo.com}%
+ {tankhoasp@yahoo.com}$>$
+\end{verbatim}
+\end{code}
+Lưu ý rằng bạn phải nhập vào liên kết và cả phần văn bản để nó được hiển thị trên trang giấy. Bạn cũng có thể soạn thảo như sau:\\
+\verb+\href{mailto:tankhoasp@yahoo.com}{Nguyễn Tân Khoa}+. \\
+Với Acrobat Reader thì mọi việc vẫn diễn ra tốt đẹp nhưng khi in tài liệu ra thì sẽ không ai biết được địa chỉ e-mail của bạn!!!
+
+\subsection{Vấn đề với các liên kết}
+Các thông điệp như:
+\begin{verbatim}
+! pdfTeX warning (ext4): destination with the same identifier
+ (name{page.1}) has been already used, duplicate ignored
+\end{verbatim}
+\noindent xuất hiện khi bộ đếm được khởi động lại. Ví dụ như khi sử dụng lệnh \ci{mainmatter} được cung cấp bởi lớp tài liệu dạng \texttt{book}, bộ đếm sẽ được khỏi động lại là~1 tương ứng với chương đầu tiên của tài liệu. Tuy nhiên, phần ``lời tựa'' của tài liệu cũng được đánh số là trang~1. Khi này, tất cả các liên kết đến ``trang~1'' sẽ không cho kết quả duy nhất nữa! Do đó, thông báo là ``\verb+duplicate+ has been \verb+ignored+.''
+
+Bộ đếm sẽ thực hiện việc đưa \texttt{plainpages=false} vào mục chọn của các siêu liên kết. Không may là điều này chỉ hỗ trợ việc đếm trang. Một giải pháp triệt để hơn là sử dụng mục chọn \texttt{hypertexnames=false} tuy nhiên khi này các liên kết đến các trang trong phần chỉ mục sẽ không làm việc.
+
+\subsection{Các vấn đề với Bookmark}
+Phần văn bản được hiển thị bởi bookmark không phải lúc nào cũng giống như bạn muốn. Bởi vì các bookmark ``chỉ đơn thuần là văn bản'' cho nên nó sẽ có ít kí tự hơn là phần văn bản của \LaTeX{}. Các siêu liên kết sẽ tự động thấy các lỗi này và đưa ra cảnh báo:
+\begin{code}
+\begin{verbatim}
+Package hyperref Warning:
+Token not allowed in a PDFDocEncoded string:
+\end{verbatim}
+\end{code}
+Bạn có thể giải quyết vấn đề này bằng cách cung cấp một chuỗi kí
+tự cho các bookmark để tránh các lỗi trên như sau:
+\begin{lscommand}
+\ci{texorpdfstring}\verb|{|\emph{\TeX{} text}\verb|}{|\emph{Bookmark Text}\verb|}|
+\end{lscommand}
+
+Các biểu thức toán học chính là các đối tượng thường mắc phải lỗi này nhất:
+\begin{code}
+\begin{verbatim}
+\section{\texorpdfstring{$E=mc^2$}%
+ {E\ =\ mc\texttwosuperior}}
+\end{verbatim}
+\end{code}
+sẽ cho kết quả là ``E=mc2'' trong phần bookmark.
+
+Việc thay đổi màu sẽ không thực hiện tốt trong các bookmark:
+\begin{code}
+\verb+\section{\textcolor{red}{Red !}}+
+\end{code}
+\noindent sẽ tạo ra chuỗi ``redRed!''. Lệnh \verb+\textcolor+ sẽ được bỏ qua nhưng tham số (red) của nó vẫn được in ra.
+
+Nếu bạn soạn thảo:
+\begin{code}
+\verb+\section{\texorpdfstring{\textcolor{red}{Red !}}{Red\ !}}+
+\end{code}
+thì kết quả sẽ dễ đọc hơn.
+
+\subsubsection{Sự tương thích giữa tập tin nguồn trong \LaTeX{} và trong pdf\LaTeX{}} \label{sec:pdfcompat}
+
+Trong tình huống lý tưởng, tài liệu của bạn sẽ được dịch tốt như nhau với \LaTeX{} và pdf\LaTeX{}. Vấn đề lớn ở đây là việc đưa vào các hình ảnh. Giải pháp cơ bản cho vấn đề này là \emph{bỏ qua} phần mở rộng của tập tin trong lệnh \ci{includegraphics}. Khi này, cả \LaTeX{} và pdf\LaTeX{} sẽ tự động tìm kiếm tập tin có định dạng phù hợp trong thư mục hiện thời. Việc bạn cần làm là tạo ra các phiên bản tương ứng của tập tin hình ảnh. \LaTeX{} sẽ tìm kiếm tập tin dạng \texttt{.eps} còn pdf\LaTeX{} sẽ tìm các tập tin có phần mở rộng là \texttt{.png}, \texttt{.pdf}, \texttt{.jpg},
+\text{.mps} hay \texttt{.tif} (theo thứ tự vừa nêu).
+
+Đối với các trường hợp bạn muốn sử dụng các mã khác nhau cho các phiên bản PDF khác nhau của tài liệu của bạn, bạn có thể thêm vào:
+\begin{code}
+\begin{verbatim}
+\newif\ifPDF
+\ifx\pdfoutput\undefined\PDFfalse
+\else\ifnum\pdfoutput > 0\PDFtrue
+ \else\PDFfalse
+ \fi
+\fi
+\end{verbatim}
+\end{code}
+như là các hàng lệnh đầu tiên của tài liệu. Những hàng lệnh này sẽ xác định một lệnh đặc biệt cho phép bạn dễ dàng viết các đoạn mã diều kiện:
+\begin{code}
+\begin{verbatim}
+\ifPDF
+ \usepackage[T1]{fontenc}
+ \usepackage{aeguill}
+ \usepackage[pdftex]{graphicx,color}
+ \usepackage[pdftex]{hyperref}
+\else
+ \usepackage[T1]{fontenc}
+ \usepackage[dvips]{graphicx}
+ \usepackage[dvips]{hyperref}
+\fi
+\end{verbatim}
+\end{code}
+Trong ví dụ trên, bạn có thể thấy rằng tôi đã đưa vào gói siêu liên kết cho cả phiên bản PDF và không phải PDF. Hiệu quả của việc đưa vào các lệnh trên là lệnh \ci{href} làm việc tốt trong tất cả các trường hợp mà không phải đưa vào chỉ thị điều khiển mỗi lần sử dụng lệnh \ci{href}.
+
+Lưu ý rằng trong các phiên bản \TeX{} hiện nay (ví dụ như \TeX{}Live), lựa chọn giữa \texttt{pdftex} và \texttt{dvips} khi
+sử dụng gói \pai{graphicx} và \pai{color} sẽ tự động được xác định một cách tự động trong tập tin cấu hình \texttt{graphics.cfg} và \texttt{color.cfg}.
+
+%\section{Trình diễn với gói \pai{pdfscreen}}
+%\label{sec:pdfscreen}
+%\secby{Daniel Flipo}{Daniel.Flipo@univ-lille1.fr}
+%Bình thường, bạn có thể trình diễn kết quả của tài liệu khoa học của bạn trên một tấm bảng với đèn chiếu hay trực tiếp từ máy tính xách tay có sử dụng phần mềm trình diễn.
+%
+%Với \wi{pdf\LaTeX} và gói \pai{pdfscreen}, bạn có thể tạo nên các
+%``slide'' trong tập tin PDF, có đầy đủ tính năng (màu sắc, sống
+%động) như \emph{MS PowerPoint}. Ngoài ra, tập tin của bạn còn có
+%tính khả chuyển cao (có thể được xem trên các hệ điều hành khác
+%nhau với phần mềm Acrobat Reader).
+%
+%Lớp \pai{pdfscreen} sử dụng gói \pai{graphicx}, \pai{color} và
+%\pai{hyperref} với các mục chọn phỏng theo các cách trình diễn
+%trên màn hình.
+%
+%%La figure~\ref{fig:pdfscr} contient un exemple de fichier minimal #
+%%compiler avec \wi{pdf\LaTeX} et le
+%%rộsultat produit.
+%
+%% ẫcran capturộ par ImageMagick (man ImageMagick) fonction ô import ằ
+%% et convertie en jpg toujours par ImageMagick.
+%\begin{figure}[htbp]
+%\begin{verbatim}
+%\documentclass[pdftex,12pt]{article}
+%%%% các phần mở rộng khác %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\usepackage[latin1]{inputenc}
+%\usepackage[english]{babel}
+%\usepackage[T1]{fontenc}
+%\usepackage{aeguill}
+%%%% sử dụng gói pdfscreen %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\usepackage[screen,panelleft,chocolate]{pdfscreen}
+%% định dạng màn hình
+%\panelwidth=25mm
+%%% height width
+%\screensize{150mm}{200mm}
+%%% left right top bottom
+%\marginsize{42mm}{8mm}{10mm}{10mm}
+%% màu sắc hay ảnh nền
+%\overlayempty
+%\definecolor{mybg}{rgb}{1,0.9,0.7}
+%\backgroundcolor{mybg}
+%% Logo
+%\emblema{MyLogo}
+%%%% với PPower4 (post-processor) %%%%%%%%%%%%%%%%%%%%%%%%
+%\usepackage{pause}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\begin{document}
+%\begin{slide}
+%\begin{itemize}
+%\item Tin tốt\dots \pause
+%\item Tin xấu
+%\end{itemize}
+%\end{slide}
+%\end{document}
+%\end{verbatim}
+%% \begin{center}
+%% \includegraphics[width=.8\textwidth]{pdfscr}
+% \caption{Ví dụ về tập tin dữ liệu vào sử dụng gói \pai{pdfscreen}}
+% \label{fig:pdfscr}
+%% \end{center}
+%\end{figure}
+%
+%Để tạo ra dạng tập tin này, bạn chỉ cần làm việc một cách bình
+%thường với kiểu tài liệu là \texttt{article}. Hình
+%\ref{fig:pdfscr} cho thấy ví dụ về tập tin dữ liệu vào. Trước
+%tiên, bạn phải nạp vào gói \pai{pdfscreen} cùng với các tuỳ chọn
+%tương ứng:
+%\begin{description}
+%\item[\texttt{screen}]: trình diễn trên màn hình. Đối với các bản
+%trình diễn được in ra thì bạn sử dụng mục chọn \texttt{print}.
+%\item[\texttt{panelright}] đặt bảng điều khiển việc di chuyển giữa
+%các ``slide'' ở góc phải màn hình. Ngược lại, để đặt bảng điều
+%khiển ở góc trái, bạn có thể sử dụng mục chọn \texttt{panelleft}.
+%\item[\texttt{french}] hay các ngôn ngữ được hỗ trợ khác để
+%\LaTeX{} xác định tên của các nút trong bảng điều khiển cho phù
+%hợp. Mục chọn này độc lập với các mục chọn được chỉnh với các gói
+%``babel''. \item[\texttt{chocolate}] màu sắc của bảng điều khiển.
+%Các lựa chọn khác là \texttt{gray}, \texttt{orange},
+%\texttt{palegreen},
+% \texttt{bluelace} và \texttt{blue} (mặc định).
+%\end{description}
+%Tiếp đến, bạn sẽ cấu trúc hình cho việc hiển thị. Vì các bản trình
+%diễn thường co dãn theo kích thước thật của màn hình hiển thị, do
+%đó thông tin này sẽ được sử dụng để chỉnh kích thước font chữ.
+%\begin{description}
+%\item[\ci{panelwidth}] xác định kích thước của bảng điều khiển.
+%\item[\ci{screensize}\texttt{\{}\emph{width}\texttt{\}\{}\emph{height}\texttt{\}}]
+% xác định chiều rộng và chiều cao của màn hình bao gồm cả bảng
+% điều khiển.
+%\item[\ci{marginsize}\texttt{\{}\emph{left}\texttt{\}\{}\emph{right}\texttt{\}\{}\emph{top}\texttt{\}\{}\emph{bottom}\texttt{\}}]
+% xác định các biên của tài liệu. Trong phần ví dụ trên, tài liệu
+% không được canh ở giữa màn hình bởi vì số của các mục được canh
+% trái.
+%\end{description}
+%Bạn có thể sử dụng hình nền ở với một kiểu định dạng bất kỳ được
+%hỗ trợ bởi pdf\LaTeX{} thông qua lệnh:
+%\begin{lscommand}
+%\ci{overlay}\verb|{|\emph{image}\verb|}|
+%\end{lscommand}
+%hay nếu bạn thích sử dụng phần nền đơn giản, bạn có thể xác định
+%màu của nó với lệnh:
+%\begin{lscommand}
+%\ci{background}\verb|{|\emph{color}\verb|}|
+%\end{lscommand}
+%Cuối cùng, nếu bạn muốn đặt logo của tổ chức hay công ty của bạn
+%vào bảng điều khiển, hãy sử dụng lệnh sau:
+%\begin{lscommand}
+%\ci{emblema}\verb|{|\emph{logo}\verb|}|
+%\end{lscommand}
+%Trong khi trình diễn, để các mục từ từ được hiển thị trên màn
+%hình, bạn có thể sử dụng gói \pai{pause}. Gói này cung cấp lệnh
+%\ci{pause}. Lệnh này sẽ yêu cầu \LaTeX{} tạm ngưng việc hiển thị
+%tài liệu. Gói \pai{pause} là một phần của hệ thống
+%\texttt{ppower4} ($P^4$: \emph{Pdf Presentation Post-Processor}).
+%Hệ thống này sẽ làm cho kết quả xuất ra của pdf\LaTeX{} trình diễn
+%theo ý của bạn. Bạn có thể xử lý kết quả xuất ra của pdf\TeX{}
+%bằng cách đưa vào quá trình ``xử lý sau''. Lệnh này được gọi như
+%sau:
+%\begin{lscommand}
+%\verb+ppower4 xy.pdf xyz.pdf+
+%\end{lscommand}
+%
+%Để điều khiển kết quả xuất ra trên từng slide, bạn có thể sử dụng
+%môi trường \verb+\begin{slide}+ \ldots \verb+\end{slide}+. Nội
+%dung của mỗi slide sẽ được hiển thị ở giữa (theo chiều dọc) trang.
+%
+%Khi biên dịch ví dụ ở trên, bạn sẽ gặp thông báo lỗi:
+%
+%\begin{verbatim}
+%! pdfTeX warning (dest): name{contents} has been
+% referenced but does not exist, replaced by a fixed one
+%\end{verbatim}
+%Lỗi này là do một nút lệnh trong bảng điều khiển chỉ đến bảng mục
+%lục mà ví dụ này không có lệnh \ci{tableofcontents} cho nên liên
+%kết bị lỗi.
+%
+%Để bảng mục lục có thể được hiển thị ngay bên trong bảng điều
+%khiển, bạn có thể sử dụng mục chọn \texttt{paneltoc} khi dùng gói
+%\pai{pdfscreen}. Điều này chỉ cho ra kết quả tốt khi mà bản trình
+%diễn của bạn có ít mục và tên các mục tương đối ngắn. Bạn cần cung
+%cấp các tựa đề ngắn ngọn cho các mục trong ngoặc vuông.
+%
+%Phần giới thiệu ngắn ngọn này chỉ đưa ra những hướng dẫn gợi ý ban
+%đầu về tính năng trình diễn của gói \pai{pdfscreen} và
+%\texttt{PPower4}. Cả hai gói này đều được cung cấp với tài liệu
+%hướng dẫn chi tiết.
+
+%\section{\texorpdfstring{\Xy}{Xy}-pic}
+%\secby{Alberto Manuel Brand\~ao Sim\~oes}{albie@alfarrabio.di.uminho.pt}
+%Gói \pai{xy} là một gói đặc biệt để vẽ các biểu đồ. Để sử dụng gói
+%này, bạn chỉ việc thêm vào các hàng lệnh sau trong phần tựa đề của
+%tài liệu:
+%\begin{lscommand}
+%\verb|\usepackage[|\emph{options}\verb|]{xy}|
+%\end{lscommand}
+%Với \emph{options} là một danh sách các hàm của \Xy-pic mà bạn
+%muốn nạp vào. Tôi đề nghị bạn đưa vào mục chọn \verb!all! để
+%\LaTeX{} nạp tất cả các lệnh của \Xy.
+%
+%Các biểu đồ của \Xy-pic được vẽ dựa trên mô hình của các ma trận
+%trong đó mỗi phần tử của biểu đồ được đặt trong một ô của ma trận:
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{A & B \\
+% C & D }
+%\end{displaymath}
+%\end{example}
+%Lệnh \ci{xymatrix} có thể được sử dụng trong chế độ toán học.
+%Trong ví dụ trên, chúng ta có hai hàng và hai cột. Để tạo biểu đồ
+%này, chúng ta chỉ cần thêm vào các muỗi tên tương ứng với lệnh
+%\ci{ar}.
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{ A \ar[r] & B \ar[d] \\
+% D \ar[u] & C \ar[l] }
+%\end{displaymath}
+%\end{example}
+%Lệnh vẽ mũi tên được đặt ở ô dành cho mũi tên. Các tham số ở đây
+%là hướng trỏ đến của các mũi tên. (\texttt{u}: mũi tên hướng lên,
+%\texttt{d}: mũi tên hướng xuống, \texttt{r}: mũi tên hướng sang
+%phải và \texttt{l}: mũi tên hướng sang trái).
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% A \ar[d] \ar[dr] \ar[r] & B \\
+% D & C }
+%\end{displaymath}
+%\end{example}
+%Để tạo ra các mũi tên theo hướng chéo, bạn chỉ cần thêm vào các
+%đối số về hướng. Để có mũi tên đậm hơn, bạn có thể lặp lại các
+%tham số về hướng.
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% A \ar[d] \ar[dr] \ar[drr] & & \\
+% B & C & D }
+%\end{displaymath}
+%\end{example}
+%Bạn có thể vẽ các biểu đồ đẹp bằng cách thêm vào phía trên dấu mũi
+%tên các nhãn. Để làm điều này, bạn có thể sử dụng các toán tử viết
+%lên trên hay viết xuống dưới.
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% A \ar[r]^f \ar[d]_g &
+% B \ar[d]^{g'} \\
+% D \ar[r]_{f'} & C }
+%\end{displaymath}
+%\end{example}
+%Như bạn đã thấy, bạn có thể sử dụng trong chế độ toán học. Sự khác
+%biệt duy nhất là việc viết văn bản lên trên được hiểu là ``viết
+%lên phía trên của mũi tên'' còn viết văn bản ở dưới nghĩa là ``ở
+%dưới dấu mũi tên''. Còn đây là toán tử thứ ba (thanh ngang)
+%\verb+|+. Nó sẽ khiến cho phần văn bản đặt \emph{ngay trên} mũi
+%tên.
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% A \ar[r]|f \ar[d]|g &
+% B \ar[d]|{g'} \\
+% D \ar[r]|{f'} & C }
+%\end{displaymath}
+%\end{example}
+%
+%Để vẽ các mũi tên có lỗ trống ở giữa, bạn có thể sử dụng lệnh
+%\verb!\ar[...]|\hole!.
+%
+%Trong một số tình huống, điều quan trọng là phân biết sự khác nhau
+%giữa các kiểu của dấu mũi tên. Điều này có thể được thực hiện bằng
+%cách đặt các nhãn lên trên các mũi tên hay thay đổi diện mạo của
+%các mũi tên:
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% \bullet\ar@{->}[rr] && \bullet\\
+% \bullet\ar@{.<}[rr] && \bullet\\
+% \bullet\ar@{~)}[rr] && \bullet\\
+% \bullet\ar@{=(}[rr] && \bullet\\
+% \bullet\ar@{~/}[rr] && \bullet\\
+% \bullet\ar@{=+}[rr] && \bullet
+%}
+%\end{displaymath}
+%\end{example}
+%
+%Bạn hãy chú ý sự khác biệt giữa hai biểu đồ dưới đây:
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% \bullet \ar[r]
+% \ar@{.>}[r] &
+% \bullet
+%}
+%\end{displaymath}
+%\end{example}
+%\begin{example}
+%\begin{displaymath}
+%\xymatrix{
+% \bullet \ar@/^/[r]
+% \ar@/_/@{.>}[r] &
+% \bullet
+%}
+%\end{displaymath}
+%\end{example}
+%
+%Từ bổ sung thêm vào giữa hai dấu gách chéo /~/ xác định cách các
+%đường cong được vẽ. Ngoài ra, \Xy-pic cung cấp nhiều cách khác
+%nhau để tác động đến việc vẽ các đường cong. Để biết thêm chi
+%tiết, bạn có thể tham khảo thêm tài liệu về \Xy-pic.
+%
+%The modifiers between the slashes define how the curves are drawn.
+%\Xy-pic offers many ways to influence the drawing of curves;
+%for more information, check \Xy-pic documentation.
+
+\section{Tạo tài liệu trình diễn với gói \pai{beamer}}
+\label{sec:beamer}
+\secby{Daniel Flipo}{Daniel.Flipo@univ-lille1.fr}
+Thông qua cách viết lên bảng, dùng các loại máy chiếu hay thậm chí trình diễn ngay trên màn mình của máy tính xách tay, bạn có thể giới thiệu các kết quả nghiên cứu của mình đến với nhiều người.
+
+Sự kết hợp giữa \wi{pdf\LaTeX} và gói \pai{beamer} sẽ giúp bạn soạn các bài trình diễn ấn tượng tương tự như với phần mềm PowerPoint. Hơn thế, việc tập tin được lưu theo định dạng PDF là một thế mạnh rất lớn vì nó giúp bạn mang tài liệu đi khắp nơi do phần mềm Acrobat Reader miễn phí và vận hành trên nhiều nền tảng hệ điều hành khác nhau.
+
+Gói \pai{beamer} sử dụng gói \pai{graphicx}, \pai{color} và \pai{hyperref} với các tham số được tinh chỉnh đề phù hợp với việc trình diễn trên màn hình.
+%La figure~\ref{fig:pdfscr} contient un exemple de fichier minimal à
+%compiler avec \wi{pdf\LaTeX} et le
+%résultat produit.
+
+% Écran capturé par ImageMagick (man ImageMagick) fonction « import »
+% et convertie en jpg toujours par ImageMagick.
+
+\begin{figure}[htbp]
+\begin{verbatim}
+\documentclass[10pt]{beamer}
+\mode<beamer>{%
+ \usetheme[hideothersubsections,right,width=22mm]{Goettingen}
+}
+
+\title{Bài trình diễn đơn giản}
+\author[D. Flipo]{Daniel Flipo}
+\institute{U.S.T.L. \& GUTenberg}
+\titlegraphic{\includegraphics[width=20mm]{USTL}}
+\date{2005}
+
+\begin{document}
+
+\begin{frame}<handout:0>
+ \titlepage
+\end{frame}
+
+\section{Ví dụ}
+
+\begin{frame}
+ \frametitle{Những việc phải làm vào buổi trưa này Chủ nhật}
+ \begin{block}{Một là \ldots}
+ \begin{itemize}
+ \item dẫn chó đi dạo\dots \pause
+ \item đọc sách\pause
+ \item vui đùa với mèo\pause
+ \end{itemize}
+ \end{block}
+ và nhiều việc khác
+\end{frame}
+\end{document}
+\end{verbatim}
+ \caption{Ví dụ minh hoạ cách sử dụng gói \pai{beamer}}
+ \label{fig:code-beamer}
+\end{figure}
+
+Sau khi dùng \wi{pdf\LaTeX{}} biên dịch đoạn mã được giới thiệu trong hình~\ref{fig:code-beamer}, bạn sẽ có được tập tin dạng PDF gồm trang tựa đề và trang thứ hai chứa các mục, các mục này sẽ từng bước xuất hiện trên màn hình.
+
+Gói beamer hỗ trợ xuất kết quả trực tiếp ra tập tin dạng PDF mà không phải thông qua quá trình chuyển sang dạng PostScript như gói \pai{prosper} hay phải thông qua một vài bước xử lý thêm trước khi xuất ra bài trình diễn như gói \pai{ppower4}. Đây chỉ là một trong những tính năng tiên tiến của gói này.
+
+Dựa vào gói \pai{beamer}, bạn có thể dùng chung tập tin nguồn để biên dịch tài liệu ra thành nhiều phiên bản (version) khác nhau. Các chỉ thị đặc biệt phục vụ cho tính năng này được đặt trong dấu ngoặc ngọn (<>).
+
+\begin{description}
+\item[beamer] tạo ra tập tin trình diễn dạng PDF như đã nói ở trên.
+\item[trans] tạo ra các slide.
+\item[handout] tạo ra bản in.
+\end{description}
+\texttt{beamer} là chế độ mặc định. Bạn có thể thay đổi chế độ biên dịch dựa vào các lệnh có tác động toàn cục như
+\verb|\documentclass[10pt,handout]{beamer}| để biên dịch thành dạng bản in.
+
+Giao diện của bài trình diễn sẽ phụ thuộc vào mẫu mà bạn chọn. Bạn có thể chọn các mẫu kèm theo gói beamer hay tự tạo những mẫu riêng phù hợp với mục đích sử dụng của mình. Bạn nên xem thêm trong \texttt{beameruserguide.pdf} để biết thêm chi tiết.
+
+Bây giờ chúng ta sẽ đi sâu vào chi tiết mã của hình~\ref{fig:code-beamer}.
+
+Đối với phiên bản dùng để trình diễn trên màn hình \verb|\mode<beamer>| chúng ta đã sử dụng mẫu \emph{Goettingen} để hiển thị khung di chuyển (navigation panel) ngay trong bảng nội dung. Tùy chọn này cho phép chọn kích thước của khung (cụ thể là 22mm trong ví dụ này) và vị trí của khung (ở bên phải nội dung). Tuỳ chọn \emph{hideothersubsections} sẽ hiển thị tựa đề của chương nhưng không hiển thị các mục con bên trong. Đối với hai chế độ còn lại là \verb|\mode<trans>| và \verb|\mode<handout>| thì không có tuỳ chọn gì đặc biệt do đó chúng sẽ được biên dịch và hiển thị theo mặc định.
+
+Các lệnh \verb|\title{}|, \verb|\author{}|, \verb|\institute{}| và \verb|\titlegraphics{}| sẽ định nội dung cho trang tựa đề của bài trình diễn. Các tham số tuỳ chọn như \verb|\title[]{}| và \verb|\author[]{}| sẽ giúp bạn định tựa đề cũng như phần tác giả cho các phiên bản khác nhau của bài trình diễn trong khung của mẫu \emph{Goettingen}.
+
+Các lệnh \verb|\section{}| và \verb|\subsection{}| bên ngoài môi trường \ei{frame} sẽ giúp bạn biên soạn tựa đề cũng các tựa đề con của các mục trong khung.
+
+Các biểu tượng di chuyển nhỏ ở cuối màn hình bên trong khung sẽ giúp bạn di chuyển giữa các trang trong bài trình diễn. Việc hiển thị các biểu tượng này không phụ thuộc vào việc lựa chọn mẫu trình diễn.
+
+Nội dung của mỗi slide hay trang màn hình cần phải đặt trong môi trường \ei{frame}. Các tham số tuỳ chọn trong cặp ngoặc nhọn (\verb|<| và \verb|>|) sẽ giúp bạn ẩn các slide (hay trang màn hình) theo yêu cầu đối với các phiên bản khác nhau của bài trình diễn. Trong ví dụ trên, chúng ta đã sử dụng lệnh \verb|<handout:0>| nên trang đầu tiên sẽ không được in ra ở phiên bản dùng để in ấn.
+
+Bạn nên đặt tựa đề cho mỗi slide khác với tựa đề của bài trình diễn, lệnh \verb|\frametitle{}| sẽ giúp bạn thực hiện tác vụ này. Trong trường hợp bạn cần đặt tựa đề con, bạn có thể sử dụng môi trường \ei{block} như trong ví dụ. Ngoài ra bạn cần chú ý rằng lệnh \verb|\section{}| và \verb|\subsection{}| sẽ không xuất ra nội dung tương ứng trên các slide.
+
+Lệnh \verb|\pause| trong môi trường liệt kê (itemize) sẽ giúp bạn hiển thị từng mục một. Để thêm vào các hiệu ứng bạn có thể dùng các lệnh như \verb|\only|, \verb|\uncover|, \verb|\alt| và \verb|\temporal|.
+
+In any case make sure you read through the beamer class documentation
+\texttt{beameruserguide.pdf} to get a complete picture of what is in
+store for you. This package is being actively developed, check out their website
+\href{http://latex-beamer.sourceforge.net/}{http://latex-beamer.sourceforge.net/}
+to get the latest information.
+Để biết thêm thông tin chi tiết bạn nên tham khảo tài liệu \texttt{beameruserguide.pdf}. Gói này đang được phát triển rất nhanh, bạn nên xem thêm thông tin ở trang \href{http://latex-beamer.sourceforge.net/}{http://latex-beamer.sourceforge.net} để có thông tin mới nhất.
+
+% Local Variables:
+% TeX-master: "lshort2e"
+% mode: latex
+% coding: utf-8
+% End: \ No newline at end of file
diff --git a/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/typeset.tex b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/typeset.tex
new file mode 100644
index 00000000000..11a966b9524
--- /dev/null
+++ b/Master/texmf-doc/doc/vietnamese/lshort-vietnamese/src/typeset.tex
@@ -0,0 +1,1131 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Contents: Typesetting Part of LaTeX2e Introduction
+% $Id: typeset.tex,v 1.2 2003/03/19 20:57:47 oetiker Exp $
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\chapter{Soạn thảo văn bản}
+
+\begin{intro}
+Sau khi đọc xong chương vừa qua, bạn đã có những kiến thức cơ bản về cấu trúc của một tài liệu được soạn thảo với \LaTeXe{}. Trong chương này, bạn sẽ được cung cấp thêm các thông tin khác để có thể soạn thảo những tài liệu thực sự bằng \LaTeX{}.
+\end{intro}
+
+\section{Cấu trúc văn bản và vấn đề về ngôn ngữ}
+\secby{Hanspeter Schmid}{hanspi@schmid-werren.ch}
+Điều quan trọng khi soạn thảo một tài liệu (trừ các tài liệu hiện đại DAAC~\footnote{Different At All Cost, một bản dịch của Swiss UVA (Um's Verrecken Anders).}) là khả năng truyền đạt những ý tưởng, thông tin, kiến thức đến độc giả. Độc giả sẽ dễ tiếp thu hơn khi nội dung được soạn thảo và trình bày một cách có hệ thống. Ngoài ra, điều này còn được phản ánh thông qua nghệ thuật in ấn bởi vì bản in sẽ phản ánh cấu trúc logic của ý tưởng và ý nghĩa của các thành phần bên trong.
+
+\LaTeX{} khác với các hệ soạn thảo văn bản khác ở điểm bạn chỉ cần cung cấp cho nó cấu trúc logic và ý nghĩa của các thành phần của văn bản. Sau đó, mô hình của bản in sẽ được thiết kế một cách tự động sao cho phù hợp với các yêu cầu định dạng trong phần ``tuỳ chọn'' ở đầu tài liệu hay trong các tập tin kèm theo.
+
+Đơn vị quan trọng nhất trong \LaTeX{} (cũng như trong in ấn) là \wi{đoạn văn}. Chúng ta gọi đó là các ``văn bản đơn vị'' bởi vì một đoạn văn bản sẽ phản ánh những ý nghĩ liền lạc hay một ý tưởng cụ thể. Những mục sau sẽ giúp cho bạn biết được các cách thức để thực hiện các công việc như: yêu cầu \LaTeX{} xuống hàng với lệnh \texttt{\bs\bs}, hay ngắt đoạn bằng cách nhập vào một hàng trắng. Việc quyết định khi nào kết thúc một đoạn văn là rất quan trọng bởi vì các đoạn văn sẽ có nhiệm vụ chuyển tải những ý tưởng, ý nghĩ. Khi mà một ý nghĩ vẫn còn tiếp tục mà ta lại viết nó ở một đoạn văn khác thì sẽ không hợp lí. Ngược lại, ta nên bắt đầu một đoạn văn mới khi ta bắt đầu một dòng suy nghĩ mới.
+
+Trên thực tế, hầu hết mọi người chưa đánh giá đúng mức vai trò của việc đặt các dấu cách đoạn một cách hợp lý khi soạn thảo tài liệu. Hơn nữa, nhiều người còn không biết được ý nghĩa của việc cách đoạn các đoạn văn; hay cụ thể là nói
+về việc ngắt đoạn trong \LaTeX{} mà không hiểu rõ về nó. Bên cạnh đó, việc soạn thảo các công thức Toán học nằm trên cùng một hàng với phần văn bản cũng dễ dẫn đến một số lỗi rất thông dụng. Đây là một số ví dụ: bạn hãy tự kiểm tra xem tại sao có lúc thì các hàng trống (ngắt đoạn) được sử dụng trước và sau một phương trình và đôi lúc lại không. (Đừng lo nếu
+bạn không hiểu hết các lệnh trong các ví dụ dưới đây! Các lệnh này sẽ được giải thích chi tiết trong chương phía sau.)
+
+\begin{code}
+\begin{verbatim}
+% Thí dụ 1
+\ldots khi mà Albert Einstein giới thiệu phương trình:
+\begin{equation}
+ e = m \cdot c^2 \; ,
+\end{equation}
+thì vào thời điểm đó, nó là phương trình được biết đến nhiều nhất
+và đồng thời cũng ít người hiểu được nó nhất.
+
+% Thí dụ 2
+\ldots theo luật Kirchoff về cường độ dòng điện thì:
+\begin{equation}
+ \sum_{k=1}^{n} I_k = 0 \; .
+\end{equation}
+
+Hiệu điện thế theo luật Kirchoff có công thức là \ldots
+
+% Thí dụ 3
+\ldots có nhiều lợi điểm.
+
+\begin{equation}
+ I_D = I_F - I_R
+\end{equation}
+là hạt nhân của rất nhiều mẫu transistor khác nhau. \ldots
+\end{verbatim}
+\end{code}
+
+Đơn vị nhỏ hơn của văn bản là câu. Trong văn bản tiếng Anh, sau dấu chấm câu sẽ là một khoảng trắng lớn. Khoảng trắng này sẽ lớn hơn khoảng trắng đi sau một chữ viết tắt. \LaTeX{} sẽ cố gắng đoán xem bạn muốn đặt khoảng trắng lớn hay nhỏ trong câu. Nếu \LaTeX{} không làm đúng, bạn cần phải hướng dẫn cho nó. Điều này sẽ được đề cập đến ở phần tiếp theo.
+
+Cấu trúc của một văn bản còn có thể chia nhỏ thành các phần của câu. Hầu hết các ngôn ngữ đều có quy tắc ngữ pháp phức tạp riêng. Bạn cần tham khảo thêm tài liệu về cấu trúc ngữ pháp của tiếng Việt để có thể đặt dấu cho đúng.
+
+Cuối cùng, bên cạnh việc sắp xếp các đoạn văn một cách hợp lý, bạn cần phải sắp xếp chúng theo cấp bậc có thứ tự như: phần, chương, mục, mục con, \ldots~.
+
+\section{Định dạng việc xuống hàng và sang trang}
+\subsection{Canh lề các đoạn văn}
+Sách, tài liệu, \ldots~thường được sắp chữ với các hàng có độ dài bằng nhau. Do đó, \LaTeX{} sẽ tự động chèn vào một cách tối ưu các khoảng trắng và \wi{kí tự xuống hàng} cho cả đoạn văn. Khi cần, \LaTeX{} cũng sẽ ngắt các từ quá dài, không nằm gọn trên một hàng. Ngoài ra, việc đinh dạng các đoạn văn vẫn còn phụ thuộc vào kiểu tài liệu mà ta muốn tạo. Thông thường thì hàng đầu tiên của đoạn văn sẽ thục vào và sẽ không có thêm khoảng trắng giữa câc đoạn văn. Tham khảo
+thêm mục~\ref{parsp} để biết thêm chi tiết.
+
+Trong một số tình huống đặc biệt, bạn cần phải yêu cầu \LaTeX{}
+thực hiện việc xuống hàng ngay bằng lệnh sau:
+\begin{lscommand}
+\ci{\bs} hay \ci{newline}
+\end{lscommand}
+\noindent Lệnh sau sẽ bắt đầu một hàng mới chứ không phải bắt đầu
+một đoạn mới:
+
+\begin{lscommand}
+\ci{\bs*}
+\end{lscommand}
+\noindent Lệnh sau sẽ cho phép ngắt trang sau khi xuống hàng:
+
+\begin{lscommand}
+\ci{newpage}
+\end{lscommand}
+\noindent Các lệnh sau:
+
+\begin{lscommand}
+\ci{linebreak}\verb|[|\emph{n}\verb|]|,
+\ci{nolinebreak}\verb|[|\emph{n}\verb|]|,
+\ci{pagebreak}\verb|[|\emph{n}\verb|]| và
+\ci{nopagebreak}\verb|[|\emph{n}\verb|]|
+\end{lscommand}
+\noindent sẽ thực hiện theo thứ tự tương ứng các công việc như: xuống hàng, không xuống hàng, sang trang, không sang trang. Ngoài ra, chúng còn cho phép người soạn thảo tác động đến việc xuống hàng và sang trang với tham số kèm theo. Số $n$ ở đây có thể lấy các giá trị từ \emph{1} đến \emph{4}. Khi \emph{n = 4} thì \LaTeX{} sẽ tự động bỏ qua lệnh này nếu kết quả không đẹp mắt. Lưu ý: bạn không nên nhầm lẫn giữa việc ``ngắt'' trang với việc ``tạo mới'' một trang. Ngay cả khi bạn sử dụng lệnh ``ngắt hàng'' hay ``ngắt trang'' thì \LaTeX{} vẫn cố gắng thực hiện việc cân bằng biên phải cũng như chiều dài của trang. Nếu bạn thực sự muốn chuyển sang một hàng mới thì hãy sử dụng lệnh tương ứng (hãy đoán xem nên dùng lệnh nào trong các lệnh ở trên).
+
+\LaTeX{} luôn cố gắng thực hiện việc xuống hàng một cách hợp lý. Nếu nó không thể tìm thấy cách tốt nhất để ngắt hàng theo chuẩn thì nó sẽ giữ nguyên phần văn bản đó (do đó, phần văn bản này sẽ nằm lấn sang lề phải). Khi này, \LaTeX{} sẽ thông báo khi biên dịch là có phần văn bản nằm lấn ra biên (``\wi{overfull box}'').\footnote{Mặc dù \LaTeX{} đưa ra thông báo lỗi nhưng bạn khó có thể nhìn thấy được phần dư ra này. Nếu bạn sử dụng tham số tuỳ chọn là \texttt{draft} trong lệnh \ci{documentclass} thì các hàng này sẽ được đánh dấu bởi một hàng đen ở biên phải.} Bạn có thể hướng dẫn \LaTeX{} ``linh động'' xử lý tình huống thông qua lệnh \ci{sloppy}. Lệnh này ngăn cản việc tạo ra các dòng quá dài bằng cách tăng khoảng cách giữa các từ -- ngay cả khi mà nó làm cho kết quả xuất ra không mấy đẹp mắt. Khi này, cảnh báo lỗi (``\wi{underfull hbox}'') sẽ xuất hiện. Trong đa số các tình huống thì kết quả trông sẽ không mấy đẹp mắt. Bạn có thể trở lại với cách định dạng ban đầu nhờ vào lệnh \ci{fussy}.
+
+\subsection{Ngắt từ} \label{hyph}
+\LaTeX{} sẽ tự động ngắt từ khi cần thiết. Nếu \LaTeX{} thực hiện việc này không được như ý của bạn thì bạn có thể sử dụng lệnh sau để yêu cầu \LaTeX{} giải quyết trường hợp đặc biệt đó.
+
+\begin{lscommand}
+\ci{hyphenation}\verb|{|\emph{danh sách các từ}\verb|}|
+\end{lscommand}
+\noindent Lệnh này sẽ làm cho các từ trong danh sách bị ngắt quãng tại các điểm được đánh dấu bởi ``\verb|-|''. Tham số của lệnh này chỉ nên chứa các kí tự thông thường hay các dấu được \LaTeX{} xem như kí tự thông thường. Các gợi ý hướng dẫn cho việc ngắt quãng các từ đối với các ngôn ngữ khác nhau sẽ được lưu lại khi lệnh này được thực hiện. Điều này có nghĩa là nếu bạn đặt lệnh này vào phần tựa đề thì tài liệu của bạn sẽ bị ảnh hưởng bởi cách ngắt quãng từ của tiếng Anh. Nếu bạn sử dụng lệnh này sau phần \verb|\begin{document}|; đồng thời, bạn sử một gói hỗ trợ ngôn ngữ
+của bạn như là \pai{babel} thì các hướng dẫn về việc ngắt quãng từ sẽ được kích hoạt thông qua gói \pai{babel}.
+
+Ví dụ dưới đây sẽ ngắt quãng từ ``hyphenation'' cũng như là từ ``Hyphenation''; đồng thời, nó sẽ ngăn không cho từ ``FORTRAN'', ``Fortran'' và ``fortran'' bị ngắt quãng. Lưu ý rằng không có một kí tự đặc biệt nào được phép có mặt trong danh sách tham số.
+
+Ví dụ:
+\begin{code}
+\verb|\hyphenation{FORTRAN Hy-phen-a-tion}|
+\end{code}
+
+Lệnh \ci{-} đặt một cách tuỳ ý dấu cách vào một từ. Đây cũng chính
+là điểm ngắt quãng duy nhất của từ. Lệnh này đặc biệt hữu dụng đối
+với những từ có kí tự đặc biệt (ví dụ như các kí tự về dấu trọng âm)
+bởi vì \LaTeX{} không tự động ngắt quãng các từ có kí hiệu đặc
+biệt.
+\begin{example}
+I think this is: su\-per\-cal\-%
+i\-frag\-i\-lis\-tic\-ex\-pi\-%
+al\-i\-do\-cious
+\end{example}
+
+Nhiều từ có thể được giữ trên cùng một hàng với lệnh:
+\begin{lscommand}
+\ci{mbox}\verb|{|\emph{đoạn văn bản}\verb|}|
+\end{lscommand}
+\noindent Lệnh này cho phép các tham số luôn được giữ trên cùng một hàng.
+\begin{example}
+Số điện thoại của tôi sẽ thay đổi
+trong thời gian ngắn sắp đến. Số
+mới sẽ là: \mbox{(08 8561144)}.
+
+Tham số \mbox{\emph{tên tập tin}}
+ dùng để lưu tên của tập tin.
+\end{example}
+
+Lệnh \ci{fbox} có tính năng tương tự như lệnh \ci{mbox} những có
+thêm đặc điểm là có một hộp vẽ xung quanh phần văn bản.
+
+\section{Các chuỗi kí tự sẵn có trong \LaTeX{}}
+
+Trong một số ví dụ ở các trang trước, bạn đã làm quen với một vài
+lệnh cơ bản của \LaTeX{} phục vụ cho việc soạn thảo những chuỗi
+đặc biệt.
+
+\vspace{2ex} \noindent
+\begin{tabular}{@{}lll@{}}
+Tên lệnh & Ví dụ & Mô tả\\
+\hline
+\ci{today} & \today & Ngày tháng hiện thời\\
+\ci{TeX} & \TeX & Tên của bộ máy sắp chữ yêu thích của bạn!!!\\
+\ci{LaTeX} & \LaTeX & Tên của trò chơi\\
+\ci{LaTeXe} & \LaTeXe & Phiên bản hiện tại của \LaTeX\\
+\end{tabular}
+
+\section{Các kí tự đặc biệt và các kí hiệu}
+
+\subsection{Dấu trích dẫn}
+
+Bạn \emph{không nên} sử dụng \verb|"| làm \wi{dấu trích dẫn} \index{""@\texttt{""}}. Trong in ấn, người ta thường dùng dấu mở ngoặc và đóng ngoặc đặc biệt. Trong \LaTeX{}, bạn nên sử dụng hai dấu~\verb|`| (dấu huyền) làm dấu mở ngoặc và hai dấu~\verb|'| (dấu lược) làm dấu đóng ngoặc. Đối với móc đơn thì sử dụng mỗi một kí tự tương ứng.
+\begin{example}
+``Vui lòng nhấn phím `x'
+ để kết thúc.''
+\end{example}
+Bạn có thể thấy rằng qui tắc nhập liệu này không đẹp mắt trong quá soạn thảo nhưng kết quả của bản in là rất ấn tượng. Ngoài ra bạn cần chú ý rằng kí hiệu đóng mở ngoặc có thể khác đi tuỳ thuộc vào font chữ đang sử dụng.
+
+\subsection{Dấu gạch và dấu ngắt quãng}
+
+\LaTeX{} cung cấp bốn kiểu \wi{dấu gạch}. Bạn có thể sử dụng ba trong số
+đó với số các dấu gạch liên tiếp khác nhau. Dấu gạch thứ tư không
+phải là một dấu gạch bình thường. Nó là dấu trừ trong toán học
+\index{-} \index{--} \index{---} \index{-@$-$} \index{toán
+học!trừ}.
+\begin{example}
+daughter-in-law, X-rated\\
+pages 13--67\\ yes---or no?
+\\ $0$, $1$
+và $-1$
+\end{example}
+Tên của các dấu gạch này là: `-' \wi{hyphen}, `--' \wi{en-dash},
+`---' \wi{em-dash} và `$-$' \wi{dấu trừ}.
+
+\subsection{Dấu ngã (\texorpdfstring{$\sim$}{~})}
+\index{www}\index{URL}\index{tilde} Kí tự này thường được thấy
+trên các địa chỉ web. Để tạo ra kí tự này trong \LaTeX{}, ban có
+thể sử dụng lệnh \verb|\~| tuy nhiên kết quả \~{} không hoàn toàn
+là điều ta muốn. Bạn nên soạn thảo như sau:
+\begin{example}
+http://www.rich.edu/\~{}bush \\
+http://www.clever.edu/$\sim$demo
+\end{example}
+
+\subsection{Kí hiệu về độ \texorpdfstring{($\circ$)}{}}
+
+Ví dụ dưới đây minh hoạ cho việc in ra một \wi{kí hiệu về độ} trong
+\LaTeX{}:
+\begin{example}
+Nhiệt độ hiện nay là $-30\,
+^{\circ}\mathrm{C}$. Tôi sắp
+bị đóng
+băng đây.
+\end{example}
+
+\subsection{Kí hiệu đồng tiền Euro \texorpdfstring{(\euro{})}{}}
+
+Ngày nay, khi soạn thảo tài liệu có liên quan đến tiền tệ, bạn sẽ cần sử dụng đến kí hiệu của đồng Euro. Hiện nay, có nhiều font chữ có kí hiệu này. Bạn có thể sử dụng gói \pai{textcomp} để đưa vào kí hiệu của đồng Euro như sau:
+
+\begin{lscommand}
+\ci{usepackage}\verb|{textcomp}|
+\end{lscommand}
+
+\noindent dùng lệnh sau:
+\begin{lscommand}
+\ci{texteuro}
+\end{lscommand}
+
+\noindent để in ra kí hiệu này.
+
+Nếu font chữ của bạn không hỗ trợ kí hiệu này hay bạn không thích kí hiệu Euro của font chữ trên, bạn có thể sử dụng một trong cách sau:
+
+Cách 1: dùng gói \pai{eurosym}. Gói này cung cấp kí hiệu chính thức của đồng euro.
+\begin{lscommand}
+\ci{usepackage}\verb|[|\emph{official}\verb|]{eurosym}|
+\end{lscommand}
+Nếu bạn muốn kí hiệu đồng Euro phù hợp với font chữ của bạn thì bạn có thể thay thế tuỳ chọn là \texttt{gen} thay cho tuỳ chọn \texttt{official}
+
+Cách 2: dùng gói \pai{marvosym}. Gói này cung cấp nhiều kí hiệu khác nhau trong đó có kí hiệu đồng Euro
+\begin{lscommand}
+\ci{EUR}
+\end{lscommand}
+\begin{example}
+Các lệnh: \texteuro{}, \euro{}
+và \euro{1000} trông khác nhau.
+\end{example}
+
+\subsection{Dấu ba chấm (\texorpdfstring{\ldots}{...})}
+
+Trên các máy đánh chữ, \wi{dấu phẩy} hay \wi{dấu chấm} có cùng một kích thước với các kí tự khác. Trong in ấn sách, các kí tự này chỉ chiếm một khoảng nhỏ và được đặt rất sát kí tự trước nó. Do đó, bạn không thể nhập vào `\wi{dấu ba chấm}' bằng cách nhập 3 dấu chấm liên tiếp nhau. Thay vào đó, ta có một lệnh thực hiện việc này:
+\begin{lscommand}
+\ci{ldots}
+\end{lscommand}
+\index{...@\ldots}
+\begin{example}
+Không phải nhập như thế này ...
+mà nên nhập như thế này:\\
+New York, Tokyo, Budapest, \ldots
+\end{example}
+
+\subsection{Chữ ghép, gạch nối}
+Một số các tổ hợp các kí tự được sắp chữ không chỉ bằng cách lần lượt đưa vào từng kí tự mà phải sử dụng các kí tự đặc biệt.
+\begin{code}
+{\large ff fi fl ffi\ldots}\quad thay vì \quad {\large f{}f f{}i
+f{}l f{}f{}i \ldots}
+\end{code}
+Các tổ hợp kí tự này được gọi là chữ ghép và có thể ngăn chặn bằng cách chèn vào \ci{mbox}\verb|{}| giữa hai kí tự cần xử lý. Điều này có thể cần thiết đối với các từ được xây dựng từ hai từ khác.
+\begin{example}
+\Large Not shelfful\\
+but shelf\mbox{}ful
+\end{example}
+
+\subsection{Dấu trọng âm và các kí tự đặc biệt}
+\LaTeX{} hỗ trợ việc sử dụng \wi{dấu trọng âm} và các \wi{kí tự đặc biệt} của các ngôn ngữ khác nhau. Bảng~\ref{accents} liệt kê tất cả các dấu trọng âm được áp dụng đối với chữ \emph{o}. Tương tự, bạn cũng có thể ghép các dấu trọng âm này với các kí tự khác.
+
+Để đặt một dấu trọng âm phía trên chữ \emph{i} hay \emph{j}, dấu
+chấm ở phía trên của nó phải được bỏ đi. Điều này được thực hiện
+bằng lệnh \verb|\i| và \verb|\j|.
+
+\begin{example}
+H\^otel, na\"\i ve, \'el\`eve,\\
+sm\o rrebr\o d, !`Se\~norita!,\\
+Sch\"onbrunner Schlo\ss{}
+Stra\ss e
+\end{example}
+
+\begin{table}[!hbp]
+\caption{Dấu trọng âm và các kí tự đặc biệt.} \label{accents}
+\begin{lined}{10cm}
+\begin{tabular}{*4{cl}}
+\A{\`o} & \A{\'o} & \A{\^o} & \A{\~o} \\
+\A{\=o} & \A{\.o} & \A{\"o} & \B{\c}{c}\\[6pt]
+\B{\u}{o} & \B{\v}{o} & \B{\H}{o} & \B{\c}{o} \\
+\B{\d}{o} & \B{\b}{o} & \B{\t}{oo} \\[6pt]
+\A{\oe} & \A{\OE} & \A{\ae} & \A{\AE} \\
+\A{\aa} & \A{\AA} \\[6pt]
+\A{\o} & \A{\O} & \A{\l} & \A{\L} \\
+\A{\i} & \A{\j} & !` & \verb|!`| & ?` & \verb|?`|
+\end{tabular}
+\index{dotless \i{} và \j}\index{Scandinavian letters}
+\index{ae@\ae}\index{umlaut}\index{grave}\index{acute}
+\index{oe@\oe}\index{aa@\aa}
+
+\bigskip
+\end{lined}
+\end{table}
+
+\section{Sự hỗ trợ đối với các ngôn ngữ quốc tế}
+\index{international} Khi bạn soạn thảo một tài liệu bằng một ngôn ngữ khác với Tiếng Anh, bạn cần phải cấu hình lại \LaTeX{} cho phù hợp:
+
+\begin{enumerate}
+\item Các chuỗi được tạo một cách tự động\footnote{Mục lục, Danh sách các hình minh họa, \ldots } phải được chuyển sang ngôn ngữ đã chọn. Đối với một số ngôn ngữ, những sự thay đổi này có thể được thực hiện thông qua việc sử dụng gói \pai{babel} thiết kế bởi Johannes Braams.
+
+\item \LaTeX{} cần biết các qui luật về ngắt quãng từ đối với một ngôn ngữ mới. Việc đưa các luật này vào \LaTeX{} là tương đối phức tạp. Nó đòi hỏi phải xây dựng lại tập tin đinh dạng với các mẫu ngắt quãng từ ngữ sẵn có. Bạn có thể tham khảo thêm \guide{} để biết thêm chi tiết.
+
+\item Đặc trưng về cách thiết kế bản in của từng ngôn ngữ. Ví dụ, trong tiếng Pháp, trước các dấu hai chầm (:) thường có khoảng trắng.
+\end{enumerate}
+
+Nếu hệ thống của bạn đã được cấu hình phù hợp, bạn có thể kích
+hoạt gói \pai{babel} bằng cách thêm vào lệnh:
+
+\begin{lscommand}
+\ci{usepackage}\verb|[|\emph{ngôn ngữ}\verb|]{babel}|
+\end{lscommand}
+\noindent ở sau lệnh \verb|\documentclass|. Một danh sách các \emph{ngôn ngữ} được xây dựng cho hệ thống \LaTeX{} của bạn sẽ được liệt kê mỗi khi trình biên dịch chạy. Babel sẽ tự động kích hoạt các quy luật ngắt quãng từ tương ứng. Nếu định dạng \LaTeX{} của bạn không hỗ trợ việc ngắt quãng từ ngữ, \pai{babel} vẫn hoạt động nhưng tắt chế độ ngắt từ đi. Điều này sẽ dẫn đến những ảnh hưởng xấu đến kết quả xuất ra của tài liệu.
+
+\textsf{Babel} cũng xác định một số lệnh mới cho một số ngôn ngữ để đơn giản hoá việc nhập các kí tự đặc biệt. Ví dụ như trong tiếng Đức có nhiều hiện tượng biến âm như (\"a\"o\"u) nên ta sẽ có các lệnh tương ứng để xuất ra các kí tự này. Với \textsf{babel}, bạn có thể nhập vào \"o bằng cách đánh \verb|"o| thay vì~\verb|\"o|.
+
+Nếu bạn sử dụng gói babel với nhiều ngôn ngữ khác nhau
+\begin{lscommand}
+\ci{usepackage}\verb|[|\emph{ngôn ngữ A}\verb|,|\emph{ngôn ngữ B}\verb|]{babel}|
+\end{lscommand}
+\noindent bạn phải sử dụng lệnh
+\begin{lscommand}
+\ci{selectlanguage}\verb|{|\emph{ngôn ngữA}\verb|}|
+\end{lscommand}
+\noindent để chọn cụ thể một ngôn ngữ.
+
+Hầu hết các máy tính hiện đại đều cho phép bạn nhập vào các kí tự đặc biệt từ bàn phím. \LaTeX{} có thể điều khiển các kí tự này thông qua gói \pai{inputenc}:
+\begin{lscommand}
+\ci{usepackage}\verb|[|\emph{bảng mã}\verb|]{inputenc}|
+\end{lscommand}
+
+Khi sử dụng gói này, bạn nên quan tâm đến khả năng người khác không thể xem được những tập tin của bạn trên máy của họ do sự khác biệt về bảng mã. Ví dụ như trong tiếng Đức thì biến âm \"a là tương ứng với kí tự 132 trong hệ điều hành OS/2 nhưng trên các hệ thống Unix sử dụng bảng mã ISO-LATIN~1 là 228, trong khi đó với bẳng mã cp1251 của hệ điều hành Windows thì kí tự này không tồn tại. Do đó, bạn nên sử dụng tính năng này một cách cẩn thận. Các bảng mã sau có thể được sử dụng tuỳ thuộc vào các hệ thống mà bạn làm việc\footnote{Để biết thêm thông tin về các bảng mã dành cho ngôn ngữ Latin và hay ngôn ngữ họ Cyrillic, bạn có thể đọc tài liệu của hai gói tương ứng là \texttt{inputenc.dtx} and \texttt{cyinpenc.dtx}. Xem thêm mục~\ref{sec:Packages} để biết cách tạo tài liệu hướng dẫn của các gói.}:
+\begin{center}
+\begin{tabular}{l | r | r }
+Hệ điều hành & \multicolumn{2}{c}{Bảng mã}\\
+ & western latin & cyrillic\\
+\hline
+Mac & \iei{applemac} & \iei{macukr} \\
+Unix & \iei{latin1} & \iei{koi8-ru} \\
+Windows & \iei{ansinew} & \iei{cp1251} \\
+DOS, OS/2 & \iei{cp850} & \iei{cp866nav}
+\end{tabular}
+\end{center}
+
+Trong trường hợp bạn cần phải soạn thảo một tài liệu đa ngôn ngữ và gặp vấn đề với bảng mã, bạn nên chuyển sang sử dụng bảng mã unicode bằng cách sử dụng gói \pai{ucs}.
+\begin{lscommand}
+\ci{usepackage}\verb|{ucs}|\\
+\ci{usepackage}\verb|[|\iei{utf8}\verb|]{inputenc}|
+\end{lscommand}
+\noindent giúp bạn soạn thảo tài liệu theo bảng mã \iei{utf8}.
+
+``Font encoding'' là một vấn đề khác. Nó định nghĩa vị trí của từng kí tự trong font chữ. Các bảng mã khác nhau có thể được ánh xạ vào một bản ``font encoding''. ``Font encoding'' được quản lý thông qua gói \pai{fontenc}:
+\begin{lscommand}
+\ci{usepackage}\verb|[|\emph{encoding}\verb|]{fontenc}| \index{font encodings}
+\end{lscommand}
+\noindent với \emph{encoding} là là bảng mã của font chữ. Bạn có thể nạp cùng một lúc nhiều bản mã khác nhau.
+
+``Font encoding'' mặc định của \LaTeX{} là \label{OT1} \fei{OT1}, đây là ``encoding'' của font chữ Computer Modern \TeX{}. Font chữ này chỉ có 128 kí tự 7-bit. Khi cần đến các kí tự có dấu \TeX{} sẽ tự động kết hợp kí tự thông thường và kí tự dấu lại với nhau. Mặc dù kết quả trông đẹp mắt khi in ấn nhưng cách làm này khiến cho việc ngắt từ tự động không thể thực hiện. Bên cạnh đó các kí tự Hy Lạp hay Cyrillic hay một số kí tự latin đặc biệt không thể tạo được chỉ bằng cách kết hợp kí tự thông thường và kí tự dấu.
+
+Để giải quyết vấn đề này, một số font 8-bit chữ giống font chữ CM đã ra đời. Các font chữ \emph{Extended Cork} (EC) trong ``encoding'' \fei{T1} chứa các kí tự thông thường, dấu chấm câu, ... cho hầu hết các ngôn ngữ có gốc Latin ở Châu Âu. Các font chữ LH có các kí tự cần thiết để soạn các tài liệu bằng các ngôn ngữ sử dụng ``Cyrillic script''. Vì số kí tự Cyrillic là rất nhiều nên các font này được chia thành bốn ``encoding'' ---\fei{T2A}, \fei{T2B}, \fei{T2C} và~\fei{X2}.\footnote{Bạn có thể tham khảo thêm tài liệu về danh sách các ngôn ngữ được hỗ trợ trong \cite{cyrguide}.} Các font chữ CG chứ các kí tự tronng \fei{LGR} ``encoding'' và dùng để soạn các văn bản tiếng Hy Lạp.
+
+Thông qua việc sử dụng các font chữ này, bạn có thể sử dụng tính năng ngắt từ như khi soạn thảo tài liệu tiếng Anh.
+
+\subsection{Sự hỗ trợ đối với tiếng Bồ Đào Nha}
+
+%\secby{Demerson Andre Polli}{polli@linux.ime.usp.br}
+Để kích hoạt tính năng ngắt quãng từ những và thay đổi các chuỗi
+gốc sang \wi{tiếng Bồ Đào Nha},\index{Portugu\^es} với lệnh:
+\begin{lscommand}
+\verb|\usepackage[portuguese]{babel}|
+\end{lscommand}
+Nếu như bạn đang ở Brazil, bạn có thể thay thế ngôn ngữ bằng
+\wi{brazilian}.
+
+Trong tiếng Bồ Đào Nha, có rất nhiều dấu trọng âm nên bạn cần thêm
+vào gói sau
+
+\begin{lscommand}
+\verb|\usepackage[latin1]{inputenc}|
+\end{lscommand}
+để có thể nhập liệu
+\begin{lscommand}
+\verb|\usepackage[T1]{fontenc}|
+\end{lscommand}
+và lệnh trên để tính năng ngắt quãng từ được thực hiện đúng.
+
+Xem bảng~\ref{portuguese} để biết thêm chi tiết về những gì cần
+thêm vào phần tựa đề của tài liệu để sử dụng tính năng hỗ trợ cho
+Tiếng Bồ Đào Nha. Lưu ý rằng chúng ta sẽ sử dụng việc mã hoá dữ
+liệu vào dạng latin1. Do đó, nó sẽ không làm việc trên nền tảng
+Mac hay DOS. Để sử dụng tính năng này, bạn chỉ cần sử dụng cách mã
+hoá phù hợp với hệ thống của bạn.
+
+\begin{table}[btp]
+\caption{Phần tựa đề hỗ trợ tiếng Bồ Đào Nha.} \label{portuguese}
+\begin{lined}{5cm}
+\begin{verbatim}
+\usepackage[portuges]{babel}
+\usepackage[latin1]{inputenc}
+\usepackage[T1]{fontenc}
+\end{verbatim}
+\bigskip
+\end{lined}
+\end{table}
+
+%\newpage
+
+\subsection{Sự hỗ trợ đối với tiếng Pháp}
+%\secby{Daniel Flipo}{daniel.flipo@univ-lille1.fr}
+Để có thể sử dụng được tính năng hỗ trợ tiếng Pháp trong \LaTeX{},
+bạn có thể sử dụng lệnh sau:
+
+\begin{lscommand}
+\verb|\usepackage[frenchb]{babel}|
+\end{lscommand}
+
+Lưu ý rằng, vì lý do phát triển, tên của gói \textsf{babel} dành
+cho tiếng Pháp là \emph{frenchb} hay \emph{francais} chứ không
+phải là \emph{french}.
+
+Tính năng này kích hoạt tính năng ngắt quãng từ trong tiếng Pháp
+khi bạn đã cấu hình đúng cho hệ thống \LaTeX{}. Nó cũng sẽ tự động
+thay đổi các chuỗi tự động thành tiếng Pháp (như là: Mục lục, Tài
+liệu tham khảo, \ldots). Đồng thời, một tập hợp các lệnh mới cũng
+sẽ có hiệu lực nhằm hỗ trợ cho việc soạn thảo các tài liệu bằng
+tiếng Pháp. Tham khảo thêm mục \ref{cmd-french} để biết thêm chi
+tiết .
+
+\begin{table}[!htbp]
+\caption{Các lệnh đặc biệt dành cho tiếng Pháp.}
+\label{cmd-french}
+\begin{lined}{9cm}
+\selectlanguage{french}
+\begin{tabular}{ll}
+\verb+\og guillemets \fg{}+ \quad &\og guillemets \fg \\[1ex]
+\verb+M\up{me}, D\up{r}+ \quad &M\up{me}, D\up{r} \\[1ex]
+\verb+1\ier{}, 1\iere{}, 1\ieres{}+ \quad &1\ier{}, 1\iere{}, 1\ieres{}\\[1ex]
+\verb+2\ieme{} 4\iemes{}+ \quad &2\ieme{} 4\iemes{}\\[1ex]
+\verb+\No 1, \no 2+ \quad &\No 1, \no 2 \\[1ex]
+\verb+20~\degres C, 45\degres+ \quad &20~\degres C, 45\degres \\[1ex]
+\verb+\bsc{M. Durand}+ \quad &\bsc{M.~Durand} \\[1ex]
+\verb+\nombre{1234,56789}+ \quad &\nombre{1234,56789}
+\end{tabular}
+\selectlanguage{vietnam}
+\bigskip
+\end{lined}
+\end{table}
+%\selectlanguage{vietnam}
+
+Ngoài ra, bạn sẽ thấy rằng cách trình bày các danh sách sẽ thay đổi khi ta chuyển sang tiếng Pháp. Để biết thêm chi tiết về cách làm việc của tuỳ chọn \texttt{frenchb} của gói \textsf{babel} để có thể tuỳ biến tính năng của nó, bạn có thể chạy chương trình dịch của \LaTeX{} để dịch tập tin \texttt{frenchb.dtx} và đọc tập tin kết quả \texttt{frenchb.dvi}.
+
+\subsection{Sự hỗ trợ đối với tiếng Đức}
+Để có thể sử dụng tính năng hỗ trợ này, bạn có thể sử dụng lệnh
+sau:
+\begin{lscommand}
+\verb|\usepackage[german]{babel}|
+\end{lscommand}
+
+Lệnh trên sẽ kích hoạt tính năng ngắt quãng từ đối với tiếng Đức
+sau khi bạn đã cấu hình hệ thống \LaTeX{} một cách hợp lý. Ngoài
+ra, nó cũng tự động thay đổi các chuỗi tự động sang tiếng Đức. Bên
+cạnh đó, tập hợp các lệnh hỗ trợ cho việc soạn thảo văn bản bằng
+tiếng Đức cũng sẽ được kích hoạt. Hãy tham khảo thêm~\ref{german}
+để biết thêm chi tiết. Đối với gói \pai{inputenc}, tất cả các tính
+năng này sẽ bị tắt đi nhưng văn bản của bạn vẫn cố định với một
+bảng mã cụ thể.
+
+\begin{table}[!htbp]
+\caption{Một số kí hiệu đặc biệt trong tiếng Đức.} \label{german}
+\begin{lined}{8cm}
+\selectlanguage{german}
+\begin{tabular}{*2{ll}}
+\verb|"a| & "a \hspace*{1ex} & \verb|"s| & "s \\[1ex]
+\verb|"`| & "` & \verb|"'| & "' \\[1ex]
+\verb|"<| or \ci{flqq} & "< & \verb|">| or \ci{frqq} & "> \\[1ex]
+\ci{flq} & \flq & \ci{frq} & \frq \\[1ex]
+\ci{dq} & " \\
+\end{tabular}
+\selectlanguage{vietnam}
+\bigskip
+\end{lined}
+\end{table}
+
+Trong các tài liệu bằng tiếng Đức, bạn thường gặp các kí hiệu trích dẫn trong tiếng Pháp (\flqq đây là một ví dụ\frqq). Khi sắp chữ cho một tài liệu bằng tiếng Đức, đôi lúc ta thấy rằng không có sự thống nhất về việc này. Đôi khi dấu trích dẫn trông như: \frqq ví dụ\flqq. Nhưng đối với những người Switzerland nói tiếng Đức thì dấu trích dẫn trông giống như trong tiếng Pháp: \flqq trích dẫn \frqq.
+
+Một vấn đề lớn xuất phát từ việc sử dụng lệnh \verb+\flq+: nếu bạn
+sử dụng các font chữ OT1 (theo mặc định) thì dấu trích dẫn sẽ
+trông giống như kí hiệu toán ``$\ll$'' và nó sẽ gây ra một số vấn
+đề. Do đó, để sử dụng dấu trích dẫn như trên thì bạn nên thêm vào
+lệnh sau: \verb|\usepackage[T1]{fontenc}|.
+
+\subsection[Hỗ trợ đối với tiếng Hàn Quốc]{Hỗ trợ đối với tiếng
+Hàn quốc\footnotemark}\label{support_korean}\footnotetext{Phần này
+được đưa vào do có rất nhiều câu hỏi xung quanh việc soạn thảo
+bằng tiếng Hàn Quốc trong \LaTeX{}. Mục này được soạn thảo bởi
+Karnes KIM thay mặt cho nhóm dịch tài liệu này sang tiếng Hàn.
+Ngoài ra, nó cũng được dịch sang tiếng Anh bởi SHIN Jungshik và
+tóm tắt lại bởi Tobi Oetiker}
+
+Để sử dụng tính năng này, bạn cần giải quyết 3 vấn đề sau:
+\begin{enumerate}
+\item Bạn phải có khả năng soạn thảo tập tin dữ liệu vào bằng
+tiếng Hàn. Và tập tin dữ liệu này phải đơn thuần là một tập tin
+văn bản. Tuy nhiên bởi vì tiếng Hàn sử dụng các kí tự riêng không
+có trong bảng mã US-ASCII cho nên các kí tự sẽ trông rất lạ đối
+với các chương trình soạn thảo với bảng mã ASCII thông thường. Hai
+bảng mã được sử dụng rỗng rãi nhất trong việc soạn thảo tiếng Hàn
+là EUC-KR và phần mở rộng của nó để tương thích với bảng mã sử
+dụng bởi MS-Windows bằng tiếng Hàn là CP949/Windows-949/UHC. Với
+các bảng mã này thì các kí tự trong bảng mã US-ASCII sẽ đại diện
+cho kí tự ASCII thông thường tương tự như các bảng mã tương thích
+khác như ISO-8859-\textit{x}, EUC-JP, Shift\_JIS và Big5. Mặt
+khác, các âm tiết Hangul, Hanjas (Các kí tự Trung Quốc sử dụng
+trong tiếng Hàn), Hangul Jamos, Hirakanas, Katakanas, các kí hiệu
+hy lạp kirin và các kí hiệu, kí tự khác trong KS~X~1001 sẽ được
+đại diện bởi hai quãng tám liên tiếp. Phần đầu tiên lưu tập MSB
+của nó. Đến giữa những năm 1990, người ta đã mất rất nhiều công
+sức trong việc xây dựng một môi trường hỗ trợ tiếng Hàn đối với
+các hệ điều hành không phải bằng tiếng Hàn. Bạn có thể xem thêm ở
+địa chỉ \url{http://jshin.net/faq} để lướt qua các thông tin về
+làm thế nào để sử dụng tiếng Hàn trong các hệ điều hành không phải
+bằng tiếng Hàn trong những năm 1990. Ngày nay, cả ba hệ điều hành
+chính (Mac OS, Unix, Windows) đều hỗ trợ tương đối tốt cho các
+ngôn ngữ khác nhau trên thế giới. Do đó, việc soạn thảo một tài
+liệu bằng tiếng Hàn không còn quá khó khăn ngay cả khi trên một
+máy tính không chạy hệ điều hành tiếng Hàn.
+
+\item \TeX{} và \LaTeX{} được thiết kết cho các hệ thống chữ viết
+không vượt quá 256 kí tự trong bảng chữ cái. Do đó, để chúng có
+thể làm việc với các ngôn ngữ có nhiều kí tự hơn như tiếng Hàn
+Quốc%
+\footnote{Korean Hangul là một bảng chữ cái với 14 phụ âm và
+10 nguyên âm cơ bản (Jamos). Không giống như hệ thống chữ viết
+Latin hay Cyrillic, các kí tự riêng lẽ phải được sắp xếp trong các
+hình chữ nhật cùng kích thước như các kí tự tiếng Trung Quốc, mỗi
+ô sẽ đại điện cho một âm tiết. Một tập hợp vô hạn các âm tiết có
+thể được tạo từ tập hữu hạn các âm tiết và phụ âm này. Chuẩn chính
+tả mới trong tiếng Hàn (cả Nam lẫn Bắc Hàn) đặt ra một số giới hạn
+về việc lập nên các nhóm này. Do đó chỉ có một số hữu hạn các âm
+tiết đúng ngữ pháp là tồn tại. Bảng mã tiếng Hàn định nghĩa mã cho
+từng âm tiết này (KS~X~1001:1998 và KS~X~1002:1998). Do đó, bảng
+chữ cái tiếng Hàn sẽ được xử lý như trong tiếng Nhật và Trung Quốc
+với hệ thống chữ viết gồm hàng vạn các kí tự tượng hình và kí tự
+tốc ký. ISO~10466/Unicode đề nghị cả hai cách của việc hiển thị
+tiếng Hàn dùng cho tiếng Hàn hiện đại bằng cách dùng bảng mã
+Conjoining Hangul Jamos (bảng chữ cái có tại
+\url{http://www.unicode.org/charts/PDF/U1100.pdf}) để biết thêm về
+mở rộng cho tất cả các âm tiết đúng chính tả trong tiếng hang hiện
+đại (\url{http://www.unicode.org/charts/PDF/UAC00.pdf}). Một trong
+những vấn đề làm nản lòng nhât khi soạn thảo một văn bản bằng
+tiếng Hàn với \LaTeX{} hay các hệ soạn thảo khác là việc hỗ trợ
+Middle Korean và tiếng Hàn trong tương lai---các âm tiết có thể
+được biểu diễn bằng cách kết hợp Jamos trong unicode. Người ta hy
+vọng rằng trong tương lai, bộ máy định dạng \TeX{} như $\Omega$ và
+$\Lambda$ sẽ giải quyết được được vấn đề này để các nhà ngôn ngữ
+học và lịch sử học sẽ rời bỏ việc sử dụng MS Word (hiện nay MS
+Word hỗ trợ khá tốt cho Middle Korean).}, tiếng Trung Quốc. Do đó,
+một cơ chế mới đã được xây dựng. Nó chia các font chữ CJK với hàng
+ngàn hay hàng vạn các tổ hợp thành các font chữ nhỏ hơn với 256 kí
+tự. Đối với tiếng Hàn, có 3 gói đang được sử dụng rộng rãi là:
+\wi{H\LaTeX{}} viết bởi UN~Koaunghi, \wi{h\LaTeX{}p} viết bởi
+CHA-Jaechoon và \wi{CJK package} viết bởi
+Werner~Lemberg.%
+\footnote{Bạn có thể download các gói trên ở địa chỉ\\
+\texttt{CTAN:/tex-archive/language/korean/HLaTeX/}\\
+\texttt{CTAN://tex-archive/language/korean/CJK/} và
+\texttt{http://knot.kaist.ac.kr/htex/}} H\LaTeX và h\LaTeX{}p hỗ
+trợ tối đa cho tiếng Hàn. Cả hai đều có thể xử lý các tập tin được
+soạn thảo với bảng mã EUC-KR. H\LaTeX{} có thể xử lý luôn cả tập
+tin dữ liệu vào với bảng mã CP949/Windows-949/UHC. Bạn cũng có thể
+dùng nó để soạn thảo các tài liệu đa ngôn ngữ (đặc biệt là tiếng
+Trung Quốc, Nhật và Hàn Quốc).
+
+Gói CJK có thể xử lý dữ liệu được soạn thảo bằng bảng mã UTF-8
+cũng như một số bảng mã khác như EUC-KR và CP949/Windows-949/UHC.
+Bạn cũng có thể dùng nó để soạn thảo các tài liệu đa ngôn ngữ (đặc
+biệt là tiếng Trung Quốc, Nhật và Hàn Quốc). Tuy nhiên, gói CJK
+này không đi kèm với bất kỳ font chữ Hàn nào.
+
+\item Mục đích cuối cùng của việc sử dụng các chương trình soạn
+thảo như \TeX{} và \LaTeX{} là để có được một tài liệu có ``thẩm
+mỹ''. Do đó, việc có những font chữ đẹp là một yếu tố rất quan
+trọng. H\LaTeX{} cung cấp những font \index{Korean font!UHC font}
+UHC \textsc{PostScript} với 10 họ font khác nhau và các font chữ
+Minhwabu\footnote{Bộ Văn Hoá Hàn Quốc} (TrueType) với 5 họ font
+khác nhau. Gói CJK làm việc với một tập hợp font chữ được sử dụng
+bởi phiên bản cũ hơn của H\LaTeX{} và có thể sử dụng các font
+\mbox{TrueType} của Bitstream.
+\end{enumerate}
+
+Để sử dụng gói H\LaTeX{}, bạn hãy khai báo như sau trong phần tựa
+đề của tài liệu:
+\begin{lscommand}
+\verb+\usepackage{hangul}+
+\end{lscommand}
+
+Lệnh này sẽ kích hoạt tính năng soạn thảo tiếng Hàn. Các tiêu đề
+của chương, mục, mục con, mục lục, \ldots sẽ được dịch sang tiếng
+Hàn và định dạng của tài liệu cũng sẽ thay đổi theo quy ước mẫu
+tài liệu bằng tiếng Hàn.
+
+Các gói trên cũng cung cấp tính năng ``lựa chọn một mẫu nhỏ''.
+Trong tiếng Hàn, có rất nhiều cặp tiền tố tương đương về mặt ngữ
+pháp nhưng khác nhau về hình thức. Cặp tiền tố nào đúng sẽ tuỳ
+thuộc vào âm tiết đứng trước kết thúc bởi một nguyên âm hay phụ
+âm. (Điều này phức tạp hơn nhưng ta có thể nói nôm na như thế cho
+dễ hiểu.) Người dân Hàn Quốc sẽ không gặp khó khăn trong việc lựa
+chọn cặp tiền tố nào cho thích hợp nhưng \TeX{} sẽ không xác định
+được việc sử dụng cặp nào để sử dụng làm tham chiếu và các chuỗi
+mặc định sẽ thay đổi trong khi soạn thảo. H\LaTeX{} đã giải phóng
+được người dùng khỏi vấn đề này bằng một cơ chế làm việc hoạt động
+khá tốt (nhưng vẫn có lỗi).
+
+Khi bạn không cần một số tính năng đặc biệt của soạn thảo tiếng
+Hàn, để đơn giản hoá, bạn có thể dùng lệnh sau để kích hoạt tính
+năng soạn thảo bằng tiếng Hàn:
+\begin{lscommand}
+\verb+\usepackage{hfont}+
+\end{lscommand}
+
+Để biết thêm chi tiết về việc soạn thảo tiếng Hàn với H\LaTeX{},
+bạn có thể tham khảo thêm ở \emph{H\LaTeX{} Guide}. Hãy tham khảo
+thêm thông tin ở trang web người Hàn Quốc dùng TeX{} tại địa chỉ
+\url{http://www.ktug.or.kr/}. Đồng thời bạn cũng có thể tìm thấy
+tài liệu này bằng tiếng Hàn.
+
+\section{Khoảng cách giữa các từ}
+Để biên phải của một tài liệu được canh thẳng cột, \LaTeX{} sẽ chèn khoảng trắng vào giữa các từ. \LaTeX{} sẽ chèn nhiều khoảng trắng hơn vào cuối câu, và điều này sẽ làm cho văn bản dễ đọc hơn. \LaTeX{} qui định rằng một câu sẽ kết thúc với dấu chấm câu, dấu hỏi hay dấu chấm cảm. Nếu một dấu chấm câu theo sau một chữ viết hoá thì nó không được xem là kết
+thúc của một câu bởi vì các dấu chấm đứng sau các chữ viết hoa thường xuất hiện ở các từ viết tắt.
+
+Tất cả các trường hợp ngoại lệ đối với qui tắt này phải được xác định cụ thể bởi người soạn thảo. Một dấu gạch chéo đứng trước một khoảng trắng sẽ tạo ra một khoảng trắng nở rộng. Một dấu~`\verb|~|' sẽ tạo ra một khoảng trắng không thể nở rộng và ngăn không cho xuống hàng. Lệnh \verb|\@| đứng trước một dấu chấm câu sẽ xác định rằng dấu chấm này kết thúc một câu ngay cả khi nó theo sau một chữ cái viết hoa.\cih{"@} \index{~@ \verb.~.} \index{tilde@dấu ngã ( \verb.~.)} \index{., sau khoảng trắng}
+\begin{example}
+Mr.~Smith was happy to see
+her\\ cf.~Fig.~5\\
+I like NEWWORLD\@.
+What about you?
+\end{example}
+
+Khoảng trắng thêm vào sau dấu chấm câu có thể bị bỏ qua với lệnh sau:
+\begin{lscommand}
+\ci{frenchspacing}
+\end{lscommand}
+\noindent Lệnh này sẽ yêu cầu \LaTeX{} \emph{không} chèn thêm khoảng trắng vào sau dấu chấm. Điều này rất phổ biến trong các ngôn ngữ khác với tiếng Anh, trừ phần mục lục tài liệu tham khảo. Nếu bạn sử dụng lệnh \ci{frenchspacing} thì không cần sử dụng lệnh \verb|\@|.
+
+\section{Tựa đề, các chương và các mục}
+Nhằm giúp cho người đọc dễ dàng tìm ra những phần cần thiết trong tài liệu, bạn nên chia nhỏ tài liệu thành các chương, mục và mục con. \LaTeX{} hỗ trợ các lệnh đặc biệt dùng tựa đề của các mục làm đối số. Việc sử dụng chúng theo thứ tự như thế nào sẽ tuỳ thuộc vào bạn.
+
+Các lệnh sau sẵn có dành cho lớp tài liệu dạng \texttt{article}:
+\nopagebreak
+\begin{lscommand}
+\ci{section}\verb|{...}|\\
+\ci{subsection}\verb|{...}|\\
+\ci{subsubsection}\verb|{...}|\\
+\ci{paragraph}\verb|{...}|\\
+\ci{subparagraph}\verb|{...}|
+\end{lscommand}
+
+Nếu bạn muốn chia tài liệu của mình thành các phần mà không ảnh hưởng đến việc đánh số chương, mục bạn có thể sử dụng lệnh sau:
+\begin{lscommand}
+\ci{part}\verb|{...}|
+\end{lscommand}
+
+Khi làm việc với lớp tài liệu \texttt{report} hay \texttt{book}, lệnh chia cấu trúc lớn nhất là
+\begin{lscommand}
+\ci{chapter}\verb|{...}|
+\end{lscommand}
+
+Trong lớp tài liệu dạng \texttt{article} không có khái niệm chương. Bạn có thể xem các tài liệu dạng article như các chương
+của một quyển sách.
+
+Khoảng cách giữa các đoạn, việc đánh số và kích thước font chữ của tiêu đề của các đoạn sẽ được \LaTeX{} quyết định một cách tự động.
+
+Hai lệnh chia đoạn sau tương đối đặc biệt:
+\begin{itemize}
+\item Lệnh \ci{part} không ảnh hưởng đến việc đánh số thứ tự các
+chương.
+\item Lệnh \ci{appendix} không có tham số. Lệnh này chỉ
+thay đổi việc đánh số chương từ số sang chữ.\footnote{Đối
+với lớp tài liệu dạng \texttt{report} thì nó thay đổi cách đánh số
+các mục.}
+\end{itemize}
+
+\LaTeX{} sẽ tạo ra bảng mục lục bằng cách trích lấy phần tựa đề của các mục và vị trí trang của chúng ở lần biên dịch cuối cùng. Lệnh
+\begin{lscommand}
+\ci{tableofcontents}
+\end{lscommand}
+\noindent sẽ hiển thị nội dung của bảng mục lục tại vị trí nó được chèn vào. Một tài liệu cần phải được biên dịch hai lần để \LaTeX{} có thể xây dựng được bảng mục lục. Đôi khi \LaTeX{} sẽ yêu cầu bạn biên dịch lần thứ ba để có được một bảng mục lục thật chính xác.
+
+Tất cả các lệnh chia đoạn được liệt kê ở trên cũng có thể được viết dưới dạng có dấu \verb|*| ở phía sau. Khi này, tựa đề của các mục sẽ không được hiển thị và không được đưa vào bảng mục lục. Ví dụ như khi bạn không muốn hiển thị tựa đề của mục \verb|\section{Trợ giúp}| vào bảng mục lục, bạn có thể chia đoạn với lệnh \verb|\section*{Trợ giúp}|.
+
+Thông thường tựa đề của các mục sẽ được đưa vào ở bảng mục lục. Đôi khi điều này không thực hiện được do tựa đề quá dài. Khi này, ta có thể yêu cầu \LaTeX{} đưa vào phần mục lục một tựa đề thay thế ngắn hơn.
+
+\begin{code}
+\verb|\chapter[Tựa đề cho bảng mục lục]{Đây là một tựa đề|\\
+\verb| dài và chán ngắt, không thú vị chút nào}|
+\end{code}
+
+Tựa đề của tài liệu sẽ được tạo ra bởi lệnh
+\begin{lscommand}
+\ci{maketitle}
+\end{lscommand}
+\noindent Phần tựa đề của tài liệu phải được xác định bởi một
+trong số các lệnh sau:
+\begin{lscommand}
+\ci{title}\verb|{...}|, \ci{author}\verb|{...}| và có thể thêm và
+tuỳ chọn về ngày tháng với lệnh \ci{date}\verb|{...}|
+\end{lscommand}
+\noindent trước khi gọi lệnh \verb|\maketitle|. Tham số \ci{author} có thể được cung cấp với nhiều tên cách nhau bởi lệnh
+\ci{and}.
+
+Bạn có thể tham khảo thêm ví dụ về các lệnh trên ởhình~\ref{document} ở trang ~\pageref{document}.
+
+Bên cạnh các lệnh chia đoạn được giới thiệu ở trên, \LaTeXe{} giới thiệu thêm 3 lệnh để sử dụng với tài liệu là \verb|book|. Chúng sẽ rất hữu ích cho việc chia đoạn ấn phẩm của bạn. Các lệnh này dùng để thay đổi tựa đề của các chương và việc đánh số trang sẽ làm việc theo yêu cầu của bạn:
+
+\begin{description}
+\item[\ci{frontmatter}] phải là lệnh đầu tiên ngay sau lệnh \verb|\begin{document}|. Khi này các trang sẽ được đánh số theo số La Mã và các mục sẽ không được đánh số. Thông thường, bạn nên sử dụng lệnh chia đoạn với dấu \verb|*| phía sau (như là \verb|\chapter*{Lời tựa}|) đối với lời tựa nhằm khiến cho \LaTeX{} không liệt kê chúng.
+
+\item[\ci{mainmatter}] nằm ngay phía trước chương đầu tiên của quyển sách. Các trang sẽ được đánh số theo số Ả Rập và khởi động lại bộ đếm số trang.
+
+\item[\ci{appendix}] đánh dấu việc bắt đầu các phụ lục. Sau khi lệnh này được gọi, các chương sẽ được đánh số bằng các kí tự.
+
+\item[\ci{backmatter}] xuất hiện ngay trước phần cuối cùng của tài liệu như mục lục tài liệu tham khảo và bảng chỉ mục.
+Trong các tài liệu chuẩn, bạn sẽ không thấy được tác dụng của nó một cách cụ thể.
+\end{description}
+
+\section{Tham chiếu chéo}
+Trong các quyển sách, bảng báo cáo, bài báo, ta thường thấy rất nhiều \wi{tham chiếu chéo} đến hình ảnh, biểu bảng và các đoạn văn bản đặc biệt. \LaTeX{} cung cấp các lệnh sau hỗ trợ cho việc tạo tham chiếu chéo:
+\begin{lscommand}
+\ci{label}\verb|{|\emph{tên nhãn}\verb|}|,
+\ci{ref}\verb|{|\emph{tên nhãn}\verb|}| và
+\ci{pageref}\verb|{|\emph{tên nhãn}\verb|}|
+\end{lscommand}
+\noindent với \emph{tên nhãn} là một tên gọi được chỉ định bởi người soạn thảo. \LaTeX{} thay thế \verb|\ref| bởi số thứ tự của các mục, mục nhỏ, hình, biểu bảng hay các định lý tương ứng với lệnh \verb|\label|. Lệnh \verb|\pageref| sẽ in ra số thứ tự của trang xuất hiện lệnh \verb|\label| tương ứng.\footnote{Các lệnh này không biết đến đối tượng chúng tham chiếu đến. Lệnh \ci{label} chỉ lưu lại số hiệu của việc đánh số cuối cùng.} Đối với tựa đề của các mục thì số thứ tự của lần biên dịch trước sẽ được sử dụng.
+\begin{example}
+Một tham chiếu đến mục con
+\label{sec:con} trông như: ``xem
+mục~\ref{sec:con} ở
+trang~\pageref{sec:con}.''
+\end{example}
+
+\section{Chú thích ở cuối trang}
+Việc thêm vào chú thích ở cuối trang được thực hiện với lệnh:
+\begin{lscommand}
+\ci{footnote}\verb|{|\emph{nội dung cần chú thích}\verb|}|
+\end{lscommand}
+\noindent khi này, một lời chú thích sẽ được in ra ở cuối trang. Những lời chú thích phải được đặt~\footnote{``đặt'' là một trong những từ thông dụng trong tiếng Việt.} sau một từ hay một câu mà chúng tham chiếu đến. Các lời chú thích đối với một câu hay một đoạn của câu nên được đặt sau dấu chấm hay dấu phẩy.\footnote{Lưu ý rằng những lời ghi chú cuối trang sẽ khiến cho người đọc mất đi sự chú ý đối với phần văn bản đang đọc. Hầu hết chúng ta đều tò mò nên hay đọc phần chú thích phía dưới trước. Do đó, đôi khi ta có thể thêm vào những thông tin ở các phần chú thích ở cuối trang và điều này rất hiệu quả!\footnotemark}\footnotetext{Thông tin không cần phải nằm ngay những vị trí mà nó hướng đến!!!.}
+\begin{example}
+Người dùng \LaTeX{} rất hay sử dụng chú thích\footnote{Đây là một chú thích}
+\end{example}
+
+\section{Các từ được nhấn mạnh}
+Nếu một văn bản được đánh bằng máy đánh chữ thì \texttt{các từ
+quan trọng sẽ được nhấn mạnh bằng cách \underline{gạch dưới}
+chúng.}
+\begin{lscommand}
+\ci{underline}\verb|{|\emph{nội dung}\verb|}|
+\end{lscommand}
+
+\noindent Đối với các ấn bản của sách thì các từ sẽ được nhấn mạnh bằng cách thay đổi định dạng của chúng thành \emph{in nghiêng}. \LaTeX{} hỗ trợ việc này bằng cách cung cấp lệnh sau
+\begin{lscommand}
+\ci{emph}\verb|{|\emph{nội dung}\verb|}|
+\end{lscommand}
+\noindent để nhấn mạnh phần \emph{nội dung}. Tuỳ thuộc vào ngữ cảnh, lệnh này sẽ tác động đến tham số theo các tương ứng:
+\begin{example}
+\emph{Để nhấn mạnh một từ
+trong một đoạn văn bản đã
+được nhấn mạnh thì \LaTeX{}
+sẽ sử dụng font chữ
+\emph{bình thường}
+để nhấn mạnh từ ấy.}
+\end{example}
+\noindent bạn cần phân biệt việc yêu cầu \LaTeX{} \emph{nhấn mạnh} một từ và yêu cầu \LaTeX{} sử dụng một \emph{font khác} đối với từ đó:
+\begin{example}
+\textit{Bạn cũng có thể
+ \emph{nhấn mạnh} văn bản
+ khi mà nó đã được chỉnh là
+ in nghiêng,}
+\textsf{trong font chữ dạng
+ \emph{sans-serif},}
+\texttt{hay kiểu
+ \emph{đánh máy}.}
+\end{example}
+
+\section{Môi trường}\label{env}
+Để thuận tiện cho việc định dạng phần văn bản, \LaTeX{} đã định nghĩa sẵn một số \wi{môi trường} hỗ trợ. Để sử dụng, bạn cần phải nhập vào như sau:
+\begin{lscommand}
+\ci{begin}\verb|{|\emph{môi trường}\verb|}|\quad
+ \emph{văn bản}\quad
+\ci{end}\verb|{|\emph{môi trường}\verb|}|
+\end{lscommand}
+\noindent với \emph{môi trường} là tên của môi trường cần sử dụng. Môi trường có thể đan xen vào nhau khi mà thứ tự đan xen là hợp lí.
+\begin{code}
+\verb|\begin{aaa}...\begin{bbb}...\end{bbb}...\end{aaa}|
+\end{code}
+
+\noindent Trong phần này, bạn sẽ được giải thích về tất các các môi trường quan trọng trong \LaTeX{}.
+
+\subsection{Các môi trường liệt kê}
+Với \LaTeX{}, ta có các môi trường liệt kê sau:
+\begin{itemize}
+ \item Môi trường \ei{itemize} phù hợp với việc liệt kê những danh sách đơn giản.
+
+ \item Môi trường \ei{enumerate} được dùng để liệt kê các danh sách (các mục được đánh số một cách tự động).
+
+ \item Môi trường \ei{description} được dùng khi cần mô tả các mục trong danh sách.\cih{item}
+\end{itemize}
+\begin{example}
+\flushleft
+\begin{enumerate}
+\item Bạn có thể kết
+hợp môi trường các danh
+sách theo ý mình:
+\begin{itemize}
+\item Nhưng đôi khi nó
+trông
+không đẹp.
+\item[-] Với một dấu gạch.
+\end{itemize}
+\item Do đó, hãy nhớ rằng:
+\begin{description}
+\item[Những điều ngớ ngẩn] sẽ trở
+nên hay khi chúng nằm trong một
+danh sách
+\item[Những điều hay] có thể được
+trình bày một cách đẹp
+mắt thông qua các danh sách.
+\end{description}
+\end{enumerate}
+\end{example}
+
+\subsection{Canh trái, canh phải, và canh giữa}
+Môi trường \ei{flushleft} và \ei{flushright} có tác dụng canh trái hay canh phải đoạn văn bản.\index{canh trái} Bên cạnh đó, môi trường \ei{center} có tác dụng canh giữa đoạn văn. Nếu bạn không đưa ra các kí hiệu xuống hàng (\ci{\bs}) thì \LaTeX{} sẽ tự động làm điều đó cho bạn.
+\begin{example}
+\begin{flushleft}
+Đoạn văn bản này được\\
+canh trái. \LaTeX{} sẽ không
+cố gắng làm
+cho các hàng có cùng chiều dài.
+\end{flushleft}
+\end{example}
+\begin{example}
+\begin{flushright}
+Đoạn văn bản này được\\
+canh phải. \LaTeX{} sẽ không
+cố gắng làm
+cho các hàng có cùng chiều dài.
+\end{flushright}
+\end{example}
+\begin{example}
+\begin{center}
+Nằm ở tâm \\của trái đất.
+\end{center}
+\end{example}
+
+\subsection{Trích dẫn và các đoạn thơ}
+Môi trường \ei{quote} rất hữu dụng khi soạn thảo các lời trích dẫn, các câu quan trọng hay các ví dụ.
+\begin{example}
+Một quy luật quan trọng
+để kiểm soát chiều dài
+của một hàng là:
+\begin{quote}
+Bình quân thì mỗi hàng
+có không quá 66 kí tự.
+\end{quote}
+Đây chính là lý do vì sao
+mà các gói của \LaTeX{} có
+các biên lớn
+theo mặc định và đây cũng
+là lý do tại sao các báo
+lại sử dụng
+cách in làm nhiều cột.
+\end{example}
+
+Có hai môi trường khác có tính năng tương tự là: \ei{quotation} và \ei{verse}. Môi trường \texttt{quotation} rất hữu ích đối với các trích dẫn dài khoảng vài đoạn văn bởi vì nó sẽ canh lề hàng đầu tiên của các đoạn. Ngoài ra, môi trường \ei{verse} thích hợp với việc soạn các bài thơ khi mà việc xuống hàng đóng một vai trò quan trọng. Việc xuống hàng sẽ được thực hiện với lệnh \ci{\bs} ở cuối hàng và một hàng trắng ở cuối các đoạn thơ.
+\begin{example}
+Lặng lẽ
+\begin{flushleft}
+\begin{verse}
+Em đếm thời gian trôi mãi\\
+Sao ngày cứ dài bất tận\\
+Sao đêm cứ mãi
+mong lung\\
+Để em lạc mất\\
+Mất anh thật rồi.\\
+
+Tỉnh giấc\\
+Trời bừng sáng bên em\\
+Cô đơn, lặng lẽ\\
+Em lại đếm
+thời gian trôi mãi\\
+Bao cuộc tình đến rồi đi\\
+Như cơn gió\\
+Nhưng có bao giờ em khóc được đâu\\
+Phải chăng nước mắt đã chôn
+sâu tình cũ\\
+Phải chăng trong lòng\\
+Em chỉ khóc vì anh? \ldots
+\end{verse}
+\end{flushleft}
+\begin{flushright}
+ Đoàn Thị Ngọc Hà
+\end{flushright}
+\end{example}
+
+\subsection{Lời tựa}
+Các tài liệu khoa học thường bắt đầu với phần tóm tắt nội dung chính để giúp cho độc giả có được cái nhìn tổng quát. \LaTeX{} cung cấp môi trường \ei{abstract} để thực hiện việc này. Thông thường môi trường này sẽ được sử dụng với kiểu lài liệu là bài báo (article).
+
+\newenvironment{abstract}%
+ {\begin{center}\begin{small}\begin{minipage}{0.8\textwidth}}%
+ {\end{minipage}\end{small}\end{center}}
+\begin{example}
+\begin{abstract}
+Nội dung của phần lời tựa.
+\end{abstract}
+\end{example}
+
+\subsection{In ấn đúng nguyên văn}
+Các văn bản được soạn thảo trong cặp lệnh \verb|\begin{|\ei{verbatim}\verb|}| và \verb|\end{verbatim}| sẽ được in ấn trực tiếp ra máy in giống như những gì bạn đã nhập vào (bao gồm cá việc xuống hàng, khoảng trắng mà không thông qua quá
+trình định dạng của \LaTeX{}).
+
+Để thực hiện điều này bên trong một đoạn văn thì ta sử dụng lệnh sau:
+\begin{lscommand}
+\ci{verb}\verb|+|\emph{nội dung}\verb|+|
+\end{lscommand}
+\noindent Lệnh \verb|+| là một ví dụ về kí tự giới hạn. Bạn có thể sử dụng các kí tự bất kỳ trừ các chữ cái, dấu \verb|*| hay khoảng trắng. Có rất nhiều ví dụ của \LaTeX{} trong sách này được soạn với lệnh này.
+\begin{example}
+Lệnh \verb|\ldots| \ldots
+\begin{verbatim}
+10 PRINT "HELLO WORLD ";
+20 GOTO 10
+\end{verbatim}
+\end{example}
+\begin{example}
+\begin{verbatim*}
+phiên bản có dấu *
+ở phía sau của môi trường
+\ei{verbatim} nhấn
+mạnh khoảng trắng giữa
+các từ trong văn bản.
+\end{verbatim*}
+\end{example}
+
+Lệnh \ci{verb} cũng có thể được sử dụng tương tự như trên
+\begin{example}
+\verb*|như thế này :-) |
+\end{example}
+Môi trường \texttt{verbatim} và lệnh \verb|\verb| không được sử dụng làm tham số của các lệnh khác.
+
+\subsection{Môi trường bảng}
+\newcommand{\mfr}[1]{\framebox{\rule{0pt}{0.7em}\texttt{#1}}}
+Môi trường \ei{tabular} có thể được sử dụng để soạn thảo các \wi{bảng} đẹp mắt với sự tuỳ biến các đường kẻ đứng và đường kẻ dọc. \LaTeX{} sẽ xác định chiều rộng của các cột một cách tự động.
+
+Tham số \emph{table spec} của lệnh
+\begin{lscommand}
+\verb|\begin{tabular}[|\emph{pos}\verb|]{|\emph{table spec}\verb|}|
+\end{lscommand}
+\noindent xác định định dạng của bảng. \mfr{l} xác định cột canh lề trái, \mfr{r} xác định cột canh lề phải và \mfr{c} xác định cột canh giữa; \mfr{p\{\emph{độ rộng}\}} xác định cột có kích thước cho trước với nội dung được canh lề ở cả hai bên kèm theo các kí tự xuống hàng; kí hiệu \mfr{|} xác định đường kẻ thẳng đứng.
+
+Đối với các cột có nội dung quá dài so với chiều rộng của trang, \LaTeX{} sẽ không tự động bao bọc (wrap) nội dung bên trong cột. Tham số \mfr{p\{độ rộng\}} sẽ định độ rộng của cột và tự động bao bọc văn bản trong cột như đối với các đoạn văn bản thông thường.
+
+Tham số \emph{pos} xác định vị trí của bảng theo chiều dọc dựa vào đường kẻ bao quanh phần văn bản. Bạn có thể nhập vào các giá trị \texttt{t}, \texttt{b} và \texttt{c} để xác định việc sắp xếp bảng ở đầu, ở cuối hay ở giữa trang.
+
+Trong môi trường \texttt{tabular}, lệnh \texttt{\&} được dùng để ngăn cách các cột, lệnh \ci{\bs} bắt đầu một hàng mới và lệnh \ci{hline} dùng để vẽ một hàng ngang. Bạn có thể thêm vào các đường kẻ nhỏ bằng các lệnh như
+\ci{cline}\texttt{\{}\emph{j}\texttt{-}\emph{i}\texttt{\}} với i
+và j là số cột mà đường kẻ đi qua.\index{"|@ \verb."|.}
+
+\begin{example}
+\begin{tabular}{|r|l|}
+\hline 7C0 & cơ số 16 \\
+3700 & cơ số 8 \\
+\cline{2-2} 11111000000
+& cơ số 2
+\\ \hline \hline
+1984 & số thập phân \\ \hline
+\end{tabular}
+\end{example}
+\begin{example}
+\begin{tabular}{|p{4.7cm}|}
+\hline
+Đoạn văn này sẽ được
+đóng khung lại. Hy vọng
+rằng bạn sẽ
+thích tính năng này.
+\\ \hline
+\end{tabular}
+\end{example}
+
+Kí tự phân cách cột có thể được xác định với lệnh \mfr{@\{...\}}. Lệnh này sẽ xoá khoảng cách nội giữa các cột và thay vào đó là kí tự giữa dấu ngoặc do bạn chỉ định. Dưới đây là một ứng dụng phổ biến của lệnh này trong việc sắp thẳng hàng các số nguyên. Một ứng dụng khác của lệnh này là dùng để bỏ qua khoảng trắng ở đầu bản với tham số \mfr{@\{\}}.
+\mfr{@\{\}}.
+\begin{example}
+\begin{tabular}{@{} l @{}}
+\hline
+không có khoảng cách trên đầu
+\\ \hline
+\end{tabular}
+\end{example}
+\begin{example}
+\begin{tabular}{l}
+\hline
+có khoảng trắng ở hai đầu\\
+\hline
+\end{tabular}
+\end{example}
+%
+% This part by Mike Ressler
+%
+\index{decimal alignment} Hiện nay, \LaTeX{} chưa hỗ trợ trực tiếp cho việc sắp thẳng hàng các cột lưu các số thập phân,\footnote{nếu các gói ``công cụ'' đã được cài đặt trên máy của bạn thì hãy tham khảo thêm gói \pai{dcolumn}.} nhưng chúng ta vẫn có thể sắp thẳng hàng bằng cách dùng 2 cột: một cột được canh lề bên phải gồm các số nguyên và một cột được canh lề bên trái chứa số thập phân. Lệnh \verb|\@{.}| sẽ được dùng để thay đổi dấu phân cách giữa các cột thành dấu ``.''. Đừng quên thay thế các dấu chấm thập phân trong số liệu của bạn thành kí hiệu cách cột (\verb|&|). Bạn có thể dùng thêm một cột để xuất tựa đề bằng cách sử dụng lệnh\ci{multicolumn}.
+
+\begin{example}
+\begin{tabular}{c r @{.} l}
+Các biểu thức đối với số
+$\pi$ & \multicolumn{2}{c}{Value}
+\\ \hline $\pi$ & 3&1416
+\\ $\pi^{\pi}$
+& 36&46 \\
+$(\pi^{\pi})^{\pi}$
+& 80662&7
+\\
+\end{tabular}
+\end{example}
+\begin{example}
+\begin{tabular}{|c|c|}
+\hline \multicolumn{2}{|c|}
+{Nguyễn} \\
+\hline Tân & Khoa! \\
+\hline
+\end{tabular}
+\end{example}
+
+Nội dung soạn thảo với môi trường \texttt{tabular} luôn nằm gọn trên một trang văn bản. Nếu bạn muốn soạn thảo các bảng dài, bạn có thể tham khảo thêm các môi trường như \pai{supertabular} và \pai{longtabular}.
+
+\section{Tính linh động trong cách trình bày}
+Ngày nay, đa số ấn phẩm đều chứa rất nhiều hình ảnh và biểu bảng. Đây là các thành phần cần được xử lý đặc biệt bởi vì chúng không được phép bị phân tách ra ở các trang khác nhau. Một trong những biện pháp khắc phục là bắt đầu một trang mới mỗi khi gặp phải hình minh hoạ hay biểu bảng quá lớn để có thể trình bày gọn trong một trang. Giải pháp này sẽ làm cho một số trang của tài liệu gần như là rỗng hay có rất ít nội dung làm cho bản in trở nên không đẹp.
+
+Một giải pháp khác cho vấn đề này là cho phép hình minh hoạ hay biểu bảng không nằm gọn trong trang hiện tại nằm trong trang kế tiếp trong khi phần nội dung của trang kế tiếp sẽ tiếp tục được trình bày trong trang hiện tại. \LaTeX{} cung cấp hai môi trường để thực hiện việc này, một dành cho các hình minh hoạ và một dành cho các biểu bảng. Để có thể sử dụng tốt hai môi trường trên, bạn cần hiểu được cơ chế làm việc bên trong của \LaTeX{}. Nếu bạn không nắm vững điều này thì đôi khi \LaTeX{} sẽ làm bạn thất vọng vì nó không bố trí biểu bảng hay hình minh hoạ đúng vị trí mà bạn mong muốn.
+
+\bigskip
+Trước tiên, ta hãy xem qua các lệnh được \LaTeX{} hỗ trợ để thực hiện công việc này:
+
+Tất cả các dữ liệu trong môi trường \ei{figure} hay \ei{table} đều được xem là dữ liệu linh động. Cả hai môi trường này đều hỗ trợ một số tuỳ chọn về vị trí sắp đặt chúng trong tài liệu
+
+\begin{lscommand}
+\verb|\begin{figure}[|\emph{vị trí}\verb|]| hay
+\verb|\begin{table}[|\emph{vị trí}\verb|]|
+\end{lscommand}
+%
+Tham số \emph{vị trí} báo cho \LaTeX{} biết vị trí có thể trình bày nội dung. Tham số này được thiết lập bằng cách xây dựng một chuỗi định dạng từ các lệnh có sẵn. Xem bảng~\ref{tab:permiss} để biết thêm chi tiết.
+
+\begin{table}[!tbp]
+\caption{Các vị trí được phép.}\label{tab:permiss}
+\noindent
+\begin{minipage}{\textwidth}
+\medskip
+
+\begin{center}
+\begin{tabular}{@{}cp{10cm}@{}}
+Kí hiệu & Vị trí đặt nội dung \ldots\\ \hline
+\rule{0pt}{1.05em}\texttt{h} & \emph{ngay tại vị trí} mà biểu bảng hay hình minh hoạ được soạn thảo. Tuỳ chọn này phù hợp với các font chữ nhỏ.\\
+[0.3ex] \texttt{t} & ở \emph{đầu} của một trang\\[0.3ex] \texttt{b} & ở \emph{cuối} của một trang\\
+[0.3ex] \texttt{p} & trên một trang \emph{đặc biệt} chỉ chứa các dữ liệu linh động như vậy.\\
+[0.3ex] \texttt{!} & không quan tâm đến các tham số bên trong\footnote{như là số biểu bảng hay hình minh họa linh động được phép có trên một trang.}, ảnh hưởng đến việc sắp xếp nó.
+\end{tabular}
+\end{center}
+
+\noindent Lưu ý rằng \texttt{pt} và \texttt{em} là hai đơn vị của \TeX{}. Bạn có thể đọc thêm ở bảng \ref{units} ở trang \pageref{units} để biết thêm chi tiết.
+\end{minipage}
+\end{table}
+
+Một biểu bảng có thể bắt đầu với hàng lệnh sau:
+\begin{code}
+\verb|\begin{table}[!hbp]|
+\end{code}
+%
+\noindent Tham số \wi{vị trí} \verb|[!hbp]| cho yêu cầu \LaTeX{} đặt biểu bảng ngay tại vị trí hiện thời (\texttt{h}) hay
+trên một trang đặc biệt chỉ dành cho các dữ liệu linh động như biểu bảng này (\texttt{p}) hay ở cuối trang (\texttt{b}) thậm chí trong trường hợp nó trông không đẹp mắt (\texttt{!}). Việc bố trí theo mặc định sẽ là \verb|[tbp]|.
+
+\LaTeX{} sẽ đặt các biểu bảng hay hình minh hoạ theo các tham số do ta cung cấp. Khi mà biểu bảng hay hình minh họa
+không thể được hiển thị ngay, nó sẽ được đưa vào hàng đợi\footnote{Đây là hàng đợi dạng FIFO---`first in first out'}.
+Khi một trang mới bắt đầu, \LaTeX{} kiểm tra hàng đợi và cố gắng đưa biểu bảng hay hình minh hoạ phù hợp nhất vào. Nếu \LaTeX{} không thực hiện được thì biểu bảng hay hình minh hoạ trong hàng đợi ấy sẽ được xem như vừa mới xuất hiện trong văn bản\footnote{trừ trường hợp ta sử dụng tham số là `h' và tham số này sẽ không thực hiện được} (có nghĩa là nó sẽ bị đưa xuống cuối hàng đợi để chờ đợi được xử lý.) \LaTeX{} sẽ cố gắng để giữ đúng thứ tự xuất hiện của các biểu bảng và hình minh họa. Đây là lý do mà tại sao một hình minh hoạ hay biểu bảng bị đẩy xuống đến cuối tài liệu. Do đó:
+
+\begin{quote}
+Nếu \LaTeX{} không đặt các biểu bảng hay hình minh họa đúng vị trí
+bạn mong muốn thì lỗi gây ra là do một biểu bảng hay hình minh hoạ
+nào đó đã gây nghẽn hàng đợi.
+\end{quote}
+
+\LaTeX{} cho phép việc định vị trí chỉ với một tham số nhưng điều này sẽ gây ra các vấn đề bởi vì nếu \LaTeX{} không thể đặt nó tại vị trí như yêu cầu thì nó sẽ gẫy nghẽn hàng đợi, ảnh hưởng đến các thành phần khác trong hàng đợi này. Cụ thể, bạn không nên sử dụng tham số [h]---tham số này hoạt động không tốt và do đó, trong các phiên bản gần đây của \LaTeX{}, tham số này tự động được thay đổi bởi tham số [ht].
+
+\bigskip
+\noindent Chúng tôi đã giải thích cho các bạn về một số những khó khăn hay gặp; tuy nhiên, vẫn còn một số điều cần lưu ý khi sử dụng hai mội trường này.
+
+Lệnh
+\begin{lscommand}
+\ci{caption}\verb|{|\emph{tiêu đề}\verb|}|
+\end{lscommand}
+\noindent định tiêu đề cho biểu bảng hay hình minh hoạ. Việc đánh số thứ tự vào chuỗi ``Hình'' hay ``Bảng'' sẽ được \LaTeX{} tự động thực hiện.
+
+Hai lệnh sau
+\begin{lscommand}
+\ci{listoffigures} và \ci{listoftables}
+\end{lscommand}
+\noindent làm việc tương tự như lệnh \verb|\tableofcontents|. Lệnh này cho phép xuất ra danh sách các hình ảnh minh hoạ hay biểu bảng. Các danh sách này sẽ hiển thị cả phần tựa đề. Do đó, nếu bạn đặt các tựa đề quá dài thì bạn nên cung cấp thêm một tựa đề tuỳ chọn ngắn hơn đề \LaTeX{} có thể thay thế nó vào trong danh sách. Để làm điều này, bạn chỉ cần đưa thêm tựa đề được thu gọn vào trong dấu ngoặc vuông.
+\begin{code}
+\verb|\caption[Ngắn gọn]{Đây là một tựa đề dài ơi là dài, dài ...}|
+\end{code}
+
+Với các lệnh như \verb|\label| và \verb|\ref|, bạn có thể tham chiếu đến một biểu bảng hay một hình minh hoạ.
+
+Dưới đây là một ví dụ về việc vẽ một hình vuông và chèn nó vào tài liệu. Bạn có thể sử dụng nó nếu bạn muốn dành khoảng trống cho các hình ảnh sắp được thêm vào tài liệu.
+\begin{code}
+\begin{verbatim}
+Hình~\ref{white} là một ví dụ về ảnh.
+\begin{figure}[!hbp]
+\makebox[\textwidth]{\framebox[5cm]{\rule{0pt}{5cm}}}
+\caption{Hình có kích thước 5x5~cm.} \label{white}
+\end{figure}
+\end{verbatim}
+\end{code}
+\noindent Trong ví dụ trên, \LaTeX{} sẽ \emph{cố gắng}~\texttt{!} đặt một hình ngay tại vị trí này\footnote{giả sử như hàng đợi đang rỗng}. Nếu \LaTeX{} không thực hiện thành công thì nó sẽ cố gắng đặt hình này ở cuối trang. Nếu \LaTeX{} vẫn không thực hiện được thì nó sẽ cố gắng đặt hình này ở một trang nào phù hợp. Nếu trang này không thoả các việc dặt hình này, \LaTeX{} sẽ bắt đầu một trang mới và lại tiến hành lại các thao tác trên.
+
+Trong một số tình huống thì bạn cần sử dụng lệnh sau
+\begin{lscommand}
+\ci{clearpage} hay là lệnh \ci{cleardoublepage}
+\end{lscommand}
+\noindent nhằm yêu cầu \LaTeX{} phải xuất ra ngay tất cả các biểu bảng hay hình minh hoạ trong hàng đợi và bắt đầu một trang mới. Lệnh \ci{cleardoublepage} sẽ tạo thêm một trang mới bên phải.
+
+Bạn sẽ học cách để đưa các hình ảnh \textsc{PostScript} vào tài liệu được soạn bởi \LaTeXe{} ở phần sau.
+
+\section{Bảo vệ các lệnh ``dễ vỡ''}
+Văn bản làm tham số cho các lệnh như \ci{caption} hay \ci{section} có thể xuất hiện nhiều lần trong tài liệu (e.g trong phần mục lục cũng như trong phần nội dung văn bản). Một số lệnh sẽ gây ra lỗi khi được sử dụng làm tham số cho các lệnh giống như \ci{section}. Các lệnh này gọi là \wi{các lệnh `dễ vỡ'}---ví dụ như lệnh \ci{footnote} hay \ci{phantom}. Các lệnh `dễ vỡ' này cần phải được bảo vệ (tất cả chúng ta đều cần được bảo vệ?). Bạn có thể bảo vệ chúng bằng cách đặt lệnh \ci{protect} trước các lệnh này.
+
+Lệnh \ci{protect} chỉ có hiệu lực đối với lệnh ngay bên phải của nó. Việc lạm dụng lệnh \ci{protect} cũng không gây ảnh hưởng gì.
+\begin{code}
+\verb|\section{Tôi là một người ân cần|\\
+\verb| \protect\footnote{và bảo vệ phần chú thích cuối trang}}|
+\end{code}