%2multibyte Version: 5.50.0.2960 CodePage: 65001 \documentclass{article} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \usepackage{amsfonts} \usepackage{amsmath} \setcounter{MaxMatrixCols}{10} %TCIDATA{OutputFilter=LATEX.DLL} %TCIDATA{Version=5.50.0.2960} %TCIDATA{Codepage=65001} %TCIDATA{} %TCIDATA{BibliographyScheme=Manual} %TCIDATA{Created=Saturday, April 03, 2010 18:53:31} %TCIDATA{LastRevised=Wednesday, April 28, 2010 00:51:50} %TCIDATA{} %TCIDATA{} %TCIDATA{CSTFile=40 LaTeX article.cst} \newtheorem{theorem}{Theorem} \newtheorem{acknowledgement}[theorem]{Acknowledgement} \newtheorem{algorithm}[theorem]{Algorithm} \newtheorem{axiom}[theorem]{Axiom} \newtheorem{case}[theorem]{Case} \newtheorem{claim}[theorem]{Claim} \newtheorem{conclusion}[theorem]{Conclusion} \newtheorem{condition}[theorem]{Condition} \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{criterion}[theorem]{Criterion} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{exercise}[theorem]{Exercise} \newtheorem{lemma}{Lemma} \newtheorem{notation}[theorem]{Notation} \newtheorem{problem}[theorem]{Problem} \newtheorem{proposition}[lemma]{Proposition} \newtheorem{remark}[theorem]{Remark} \newtheorem{solution}[theorem]{Solution} \newtheorem{summary}[theorem]{Summary} \newenvironment{proof}[Proof]{\noindent\textbf{#1.} }{\ \rule{0.5em}{0.5em}} \renewcommand{\abstractname}{Resumen} \input{tcilatex} \begin{document} \title{Standard %TCIMACRO{\TeXButton{LaTeX}{\LaTeX{}} }% %BeginExpansion \LaTeX{} %EndExpansion Article} \author{A. U. Thor \\ %EndAName The University of Stewart Island} \maketitle \begin{abstract} We study the effects of warm water on the local penguin population. The major finding is that it is extremely difficult to induce penguins to drink warm water. The success factor is approximately $-e^{-i\pi }-1$. \end{abstract} \section{Standard %TCIMACRO{\TeXButton{LaTeX}{\LaTeX{}} }% %BeginExpansion \LaTeX{} %EndExpansion Article} This document illustrates the appearance of an article created with the shell \textbf{Standard LaTeX Article} or the shell \textbf{Blank - Standard LaTeX Article}. Both shells produce documents with centered title information, left-justified headings, theorem environments, and appendices. The standard \LaTeX{} shells provide the most general and portable set of document features. You can achieve almost any typesetting effect by beginning with a standard shell and adding \LaTeX{} packages as necessary. The document class base file for this shell is \texttt{article.cls}. This typesetting specification supports a number of class options. To see the available class options, choose \textsf{Typeset, }choose \textsf{Options and Packages}, select the \textsf{Class Options} tab, and then click the \textsf{% Modify} button. This shell uses the default class options. The typesetting specification for this shell document uses these options and packages with the defaults indicated: \begin{center} \ \begin{tabular}{ll} \textbf{Options and Packages} & \textbf{Defaults} \\ \hline Document class options & Standard \\ Packages: & \\ \quad amsfonts & None \\ \quad amsmath & Standard \\ \hline \end{tabular} \end{center} \section{Using This Shell} The front matter of this shell has a number of sample entries that you should replace with your own. Replace the body of this document with your own text. To start with a blank document, delete all of the text in this document. Changes to the typeset format of this shell and its associated \LaTeX{} formatting file (\texttt{article.cls}) are not supported by MacKichan Software, Inc. If you want to make such changes, please consult the \LaTeX{} manuals or a local \LaTeX{} expert. If you modify this document and export it as \textquotedblleft Standard LaTeX Article.shl\textquotedblright\ in the \texttt{Shells\textbackslash Standard LaTeX} directory, it will become your new Standard LaTeX Article shell. \section{Headings and Tags} \subsection{Subsection} Use the Section tag for major sections, and the Subsection tag for subsections. \subsubsection{Subsubsection} This is just some harmless text under a subsubsection. \paragraph{Subsubsubsection} This is just some harmless text under a subsubsubsection. \subparagraph{Subsubsubsubsection} This is just some harmless text under a subsubsubsubsection. \subsection{Tags} You can apply the logical markup tag \emph{Emphasized}. You can apply the visual markup tags \textbf{Bold}, \textit{Italics}, \textrm{Roman}, \textsf{Sans Serif}, \textsl{Slanted}, \textsc{Small Caps}, and \texttt{Typewriter}. You can apply the special mathematics-only tags $\mathbb{BLACKBOARD}$ $% \mathbb{BOLD}$, $\mathcal{CALLIGRAPHIC}$, and $\mathfrak{fraktur}$. Note that blackboard bold and calligraphic are correct only when applied to uppercase letters A through Z. You can apply the size tags {\tiny tiny}, {\scriptsize scriptsize}, {\footnotesize footnotesize}, {\small small}, {\normalsize normalsize}, {\large large}, {\Large Large}, {\LARGE LARGE}, {\huge huge} and {\Huge Huge}% . \QTP{Body Math} This is a Body Math paragraph. Each time you press the Enter key, Scientific WorkPlace switches to mathematics mode. This is convenient for carrying out scratchpad'' computations. Following is a group of paragraphs marked as Short Quote. This environment is appropriate for a short quotation or a sequence of short quotations. \begin{quote} The only thing we have to fear is fear itself. \emph{Franklin D. Roosevelt, }% Mar. 4, 1933 Ask not what your country can do for you; ask what you can do for your country. \emph{John F. Kennedy, }Jan. 20. 1961 There is nothing wrong with America that cannot be cured by what is right with America. \emph{William J. \textquotedblleft Bill\textquotedblright\ Clinton, }Jan. 21, 1993 \end{quote} The Long Quotation tag is used for quotations of more than one paragraph. Following is the beginning of \emph{Alice's Adventures in Wonderland }by Lewis Carroll: \begin{quotation} Alice was beginning to get very tired of sitting by her sister on the bank, and of having nothing to do: once or twice she had peeped into the book her sister was reading, but it had no pictures or conversations in it, and what is the use of a book,' thought Alice without pictures or conversation?' So she was considering in her own mind (as well as she could, for the hot day made her feel very sleepy and stupid), whether the pleasure of making a daisy-chain would be worth the trouble of getting up and picking the daisies, when suddenly a White Rabbit with pink eyes ran close by her. There was nothing so very remarkable in that; nor did Alice think it so very much out of the way to hear the Rabbit say to itself, `Oh dear! Oh dear! I shall be late!' (when she thought it over afterwards, it occurred to her that she ought to have wondered at this, but at the time it all seemed quite natural); but when the Rabbit actually took a watch out of its waistcoat-pocket, and looked at it, and then hurried on, Alice started to her feet, for it flashed across her mind that she had never before seen a rabbit with either a waistcoat-pocket, or a watch to take out of it, and burning with curiosity, she ran across the field after it, and fortunately was just in time to see it pop down a large rabbit-hole under the hedge. In another moment down went Alice after it, never once considering how in the world she was to get out again. \end{quotation} Use the Verbatim tag when you want \LaTeX{} to preserve spacing, perhaps when including a fragment from a program such as: \begin{verbatim} #include // < > is used for standard libraries. void main(void) // "main" method always called first. { cout << "Hello World."; // Send to output stream. } \end{verbatim} \section{Mathematics and Text} Let $H$ be a Hilbert space, $C$ be a closed bounded convex subset of $H$, $T$ a nonexpansive self map of $C$. Suppose that as $n\rightarrow \infty$, $% a_{n,k}\rightarrow 0$ for each $k$, and $\gamma _{n}=\sum_{k=0}^{\infty }\left( a_{n,k+1}-a_{n,k}\right) ^{+}\rightarrow 0$. Then for each $x$ in $C$% , $A_{n}x=\sum_{k=0}^{\infty }a_{n,k}T^{k}x$ converges weakly to a fixed point of $T$ . The numbered equation \begin{equation} u_{tt}-\Delta u+u^{5}+u\left| u\right| ^{p-2}=0\text{ in }\mathbf{R}% ^{3}\times \left[ 0,\infty \right[ \label{eqn1} \end{equation} is automatically numbered as equation \ref{eqn1}. \section{List Environments} You can create numbered, bulleted, and description lists using the Item Tag popup list on the Tag toolbar. \begin{enumerate} \item List item 1 \item List item 2 \begin{enumerate} \item A list item under a list item. The typeset style for this level is different than the screen style. The screen shows a lower case alphabetic character followed by a period while the typeset style uses a lower case alphabetic character surrounded by parentheses. \item Just another list item under a list item. \begin{enumerate} \item Third level list item under a list item. \begin{enumerate} \item Fourth and final level of list items allowed. \end{enumerate} \end{enumerate} \end{enumerate} \end{enumerate} \begin{itemize} \item Bullet item 1 \item Bullet item 2 \begin{itemize} \item Second level bullet item. \begin{itemize} \item Third level bullet item. \begin{itemize} \item Fourth (and final) level bullet item. \end{itemize} \end{itemize} \end{itemize} \end{itemize} \begin{description} \item[Description List] Each description list item has a term followed by the description of that term. Double click the term box to enter the term, or to change it. \item[Bunyip] Mythical beast of Australian Aboriginal legends. \end{description} \section{Theorem-like Environments} The following theorem-like environments (in alphabetical order) are available in this style. \begin{acknowledgement} This is an acknowledgement \end{acknowledgement} \begin{algorithm} This is an algorithm \end{algorithm} \begin{axiom} This is an axiom \end{axiom} \begin{case} This is a case \end{case} \begin{claim} This is a claim \end{claim} \begin{conclusion} This is a conclusion \end{conclusion} \begin{condition} This is a condition \end{condition} \begin{conjecture} This is a conjecture \end{conjecture} \begin{corollary} This is a corollary \end{corollary} \begin{criterion} This is a criterion \end{criterion} \begin{definition} This is a definition \end{definition} \begin{example} This is an example \end{example} \begin{exercise} This is an exercise \end{exercise} \begin{lemma} This is a lemma \end{lemma} \begin{proof} This is the proof of the lemma. \end{proof} \begin{notation} This is notation \end{notation} \begin{problem} This is a problem \end{problem} \begin{proposition} This is a proposition \end{proposition} \begin{remark} This is a remark \end{remark} \begin{solution} This is a solution \end{solution} \begin{summary} This is a summary \end{summary} \begin{theorem} This is a theorem \end{theorem} \begin{proof}[Proof of the Main Theorem] This is the proof. \end{proof} \appendix \section{The First Appendix} The appendix fragment is used only once. Subsequent appendices can be created using the Section Section/Body Tag. \end{document}