
\documentclass[12pt]{report}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amsfonts}
\usepackage{amsmath}

\setcounter{MaxMatrixCols}{10}
%TCIDATA{OutputFilter=LATEX.DLL}
%TCIDATA{Version=5.50.0.2960}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%TCIDATA{Created=Friday, February 25, 2011 14:39:00}
%TCIDATA{LastRevised=Monday, February 28, 2011 11:50:30}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="DocumentShell" CONTENT="Standard LaTeX\Standard LaTeX Report">}
%TCIDATA{CSTFile=40 LaTeX Report.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}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{solution}[theorem]{Solution}
\newtheorem{summary}[theorem]{Summary}
\newenvironment{proof}[1][Proof]{\noindent\textbf{#1.} }{\ \rule{0.5em}{0.5em}}
\input{tcilatex}
\begin{document}


%TCIMACRO{\TeXButton{B titlepage}{\begin{titlepage}}}%
%BeginExpansion
\begin{titlepage}%
%EndExpansion

\vspace*{40pt}

\begin{center}
{\LARGE \ \textbf{Essays in Preparing a Disseration}\ }

\vfil

%TCIMACRO{\TeXButton{large}{\large}}%
%BeginExpansion
\large%
%EndExpansion

A Dissertation

Presented to the Faculty of the Graduate School

of

Some University

in Candidacy for the Degree of

Doctor of Philosophy

\vfil\vspace*{30pt}

by

Douglas Ramussing\vspace*{18pt}

Dissertation Director:

James Buckley

George Davenport\vspace*{18pt}

February 2011
\end{center}

%TCIMACRO{\TeXButton{E titlepage}{\end{titlepage}}}%
%BeginExpansion
\end{titlepage}%
%EndExpansion

%TCIMACRO{\TeXButton{B abstract}{\begin{abstract}}}%
%BeginExpansion
\begin{abstract}%
%EndExpansion
Sample abstract text that has no relationship to the remainder of this
document. 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 $-e^{-i\pi
}-1$. 
%TCIMACRO{\TeXButton{E abstract}{\end{abstract}}}%
%BeginExpansion
\end{abstract}%
%EndExpansion

%TCIMACRO{\TeXButton{Make TOC}{\tableofcontents}}%
%BeginExpansion
\tableofcontents%
%EndExpansion

\chapter{Standard 
%TCIMACRO{\TeXButton{LaTeX}{\LaTeX{}} }%
%BeginExpansion
\LaTeX{}
%EndExpansion
Report Using titlepage Environment}

This document illustrates the appearance of a report created with the shell 
\textbf{Standard LaTeX Report}. The shell contains an abstract.

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{report.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 report options & Standard \\ 
Packages: &  \\ 
\quad amsfonts & None \\ 
\quad amsmath & Standard \\ \hline
\end{tabular}%
\bigskip 
\end{center}

\chapter{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{report.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 Report -
Standard LaTeX Report.shl\textquotedblright\ in the \texttt{%
Shells\textbackslash Standard LaTeX} directory, it will become your new
Report - Standard LaTeX Report shell.

\chapter{Features of This Shell}

\section{Section Headings}

Use the Section tag for major sections, and the Subsection tag for
subsections.

\subsection{Subsection}

This is just some harmless text under a subsection.

\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. Included is
Table \ref{TableKey} to demonstrate cross referencing a table. The table
caption will appear in the list of tables, if used. This floating table was
created using the \textsf{Table - (4x3, floating)} fragment. 
%TCIMACRO{\TeXButton{LaTeX}{\LaTeX{}} }%
%BeginExpansion
\LaTeX{}
%EndExpansion
will position the table to best take advantage of the flow of text.%
%TCIMACRO{\TeXButton{B}{\begin{table}[tbp] \centering}}%
%BeginExpansion
\begin{table}[tbp] \centering%
%EndExpansion
\begin{tabular}{|l|l|l|}
\hline
\textbf{Head} & \textbf{Head} & \textbf{Head} \\ \hline
entry & entry & entry \\ 
entry & entry & entry \\ 
entry & entry & entry \\ \hline
\end{tabular}%
\caption{Table Caption}\label{TableKey}%
%TCIMACRO{\TeXButton{E}{\end{table}}}%
%BeginExpansion
\end{table}%
%EndExpansion

\section{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 <iostream>        // < > 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 with this shell document. The numbering scheme for theorem-like
environments is controlled by \texttt{\TEXTsymbol{\backslash}newtheorem}
statements in the document preamble.

\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

\chapter{The First Appendix}

The appendix fragment is used only once. Subsequent appendices can be
created using the Chapter Section/Body Tag.

Following is a short bibliography. It has no relationship to the previous
text, but can be used to show sample citations such as \cite{Hirsh64} and 
\cite{Reid87}. This typesetting style places each citation inside square
brackets. If you want multiple citations to appear in a single set of square
brackets you must type all of the citation keys inside a single citation,
separating each with a comma. Here is an example: \cite{HB98a,HB98b,Hirsh64}.

\begin{thebibliography}{9}
\bibitem{AmPetr92} American Petroleum Institute, Technical Data Book -
Petroleum Refining, 5th edition, 1992

\bibitem{HB98a} Harstad, K. and Bellan, J., ``Isolated fluid oxygen drop
behavior in fluid hydrogen at rocket chamber pressures'', \textit{Int. J.
Heat Mass Transfer}, 1998a, \textbf{41}, 3537-3550

\bibitem{HB98b} Harstad, K. and Bellan, J., ``The Lewis number under
supercritical conditions'', \textit{Int. J. Heat Mass Transfer, }in print

\bibitem{Hirsh64} Hirshfelder, J. O., Curtis, C. F. and Bird, R. B., \textit{%
Molecular Theory of Gases and Liquids}, John Wiley and Sons, Inc., 1964

\bibitem{Prausnitz86} Prausnitz, J., Lichtenthaler, R. and de Azevedo, E.,
Molecular thermodynamics for fluid-phase equilibrium, Prentice -Hall, Inc.,
1986

\bibitem{Reid87} Reid, R. C., Prausnitz, J. M. and Polling, B. E., The
Properties of Gases and Liquids, 4th Edition, McGraw-Hill Book Company, 1987
\end{thebibliography}

\end{document}
