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author | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
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committer | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
commit | e0c6872cf40896c7be36b11dcc744620f10adf1d (patch) | |
tree | 60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/xetex/latex/simple-thesis-dissertation/Thesis-Chapter-ChapAbbr.tex |
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diff --git a/macros/xetex/latex/simple-thesis-dissertation/Thesis-Chapter-ChapAbbr.tex b/macros/xetex/latex/simple-thesis-dissertation/Thesis-Chapter-ChapAbbr.tex new file mode 100644 index 0000000000..0f1c6b5171 --- /dev/null +++ b/macros/xetex/latex/simple-thesis-dissertation/Thesis-Chapter-ChapAbbr.tex @@ -0,0 +1,415 @@ +\chapter{Insert Chapter Title Here} +\label{Section:ChapAbbr} + +\BlankFootnote{Insert chapter footnote here. +The chapter footnote could include citations to related publications by the author (``The material in this chapter was presented in part in ....'').} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Introduction} +\label{Section:ChapAbbr:Introduction} + +Insert chapter introduction here. +\lipsum[1-2] + +\mbox{\textit{Related Work:}} +Our work is related to \cite{Examples:Conference01, Examples:Journal01, Examples:Conference02, Examples:Journal02, Examples:Conference03}. +\lipsum[3-4] + +\mbox{\textit{Our Contribution:}} +\lipsum[5-6] + +Proofs of theorems are deferred to \Section~\sref{Section:ChapAbbr:ProofsOfTheorems}. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Some Examples} +\label{Section:ChapAbbr:SomeExamples} + +\lipsum[7] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Examples of Figures and Tables} +\label{Section:ChapAbbr:SomeExamples:FiguresTables} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE: CHAPABBR: FIGURE EXAMPLE A +\begin{figure} +\centering\CaptionFontSize +\includegraphics[height=15em] +{./Figures/Figure-SampleVectorGraphic} +\caption[Insert an abbreviated caption here to show in the List of Figures] +{Insert the full caption here for this floating figure.} +\label{Figure:ChapAbbr:FigureExampleA} +\end{figure} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +This is a reference to \Figure~\fref{Figure:ChapAbbr:FigureExampleA}. +\lipsum[8] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE: CHAPABBR: FIGURE EXAMPLE B +\begin{sidewaysfigure*} +\centering\CaptionFontSize +\includegraphics[height=30em] +{./Figures/Figure-SampleVectorGraphic} +\caption[Insert an abbreviated caption here to show in the List of Figures] +{Insert the full caption here for this floating figure. +The caption should provide sufficient context to interpret the figure. +Lorem ipsum dolor sit amet, consectetuer adipiscing elit. +Ut purus elit, vestibulum ut, placerat ac, adipiscing vitae, felis. +Curabitur dictum gravida mauris.} +\label{Figure:ChapAbbr:FigureExampleB} +\end{sidewaysfigure*} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +Here we say something about \Figures~\fref{Figure:ChapAbbr:FigureExampleA} and~\fref{Figure:ChapAbbr:FigureExampleB}. +Note how the effect in \Figure~\fref{Figure:ChapAbbr:FigureExampleB} is stronger that in \Figure~\fref{Figure:ChapAbbr:FigureExampleA}. +\lipsum[9] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% TABLE: CHAPABBR: EXAMPLE A +\begin{table} +\caption[Insert an abbreviated caption here to show in the List of Tables] +{Insert the full caption here for this floating table.} +\label{Table:ChapAbbr:TableExampleA} +\centering\CaptionFontSize +\begin{tabular}{c@{\hspace{1em}}l} +\toprule +Symbol & Definition +\\ +\midrule +$\alpha$ & insert definition of $\alpha$ here, $\alpha\geq 1$ +\\ +$\beta$ & insert definition of $\beta$ here, $\beta\geq 2$ +\\ +$\gamma$ & insert definition of $\gamma$ here, $\gamma\geq 3$ +\\ +$\delta$ & insert definition of $\delta$ here, $\delta\geq 4$ +\\ +\bottomrule +\end{tabular} +\end{table} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +We summarize our notation in \Table~\tref{Table:ChapAbbr:TableExampleA}. +\lipsum[10] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% TABLE: CHAPABBR: EXAMPLE B +\begin{table} +\caption[Insert an abbreviated caption here to show in the List of Tables] +{Insert the full caption here for this floating table. +The caption should provide sufficient context to interpret the table. +Lorem ipsum dolor sit amet, consectetuer adipiscing elit. +Ut purus elit, vestibulum ut, placerat ac, adipiscing vitae, felis. +Curabitur dictum gravida mauris.} +\label{Table:ChapAbbr:TableExampleB} +\centering\CaptionFontSize +\begin{tabular}{c@{\hspace{1em}}l@{\hspace{1em}}c} +\toprule +Variable & Initial Value & Value at $t=100$ +\\ +\midrule +$c$ & $0.012$ & $3.456$ +\\ +$\delta$ & $0.312$ & $1.416$ +\\ +$\gamma$ & $0.042$ & $3.252$ +\\ +$h$ & $0.012$ & $3.353$ +\\ +$c$ & $0.012$ & $4.446$ +\\ +$\delta$ & $0.015$ & $3.556$ +\\ +$\gamma$ & $0.612$ & $6.656$ +\\ +$h$ & $0.072$ & $7.456$ +\\ +$c$ & $0.018$ & $8.756$ +\\ +$\delta$ & $0.912$ & $9.456$ +\\ +$\gamma$ & $0.092$ & $5.956$ +\\ +$h$ & $0.012$ & $2.326$ +\\ +\bottomrule +\end{tabular} +\end{table} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\Table~\tref{Table:ChapAbbr:TableExampleB} summarizes our simulation results. +\lipsum[11] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Examples of Enumerated and Itemized Lists} +\label{Section:ChapAbbr:SomeExamples:Lists} + +Here are some citations \cite{Examples:Conference03, Examples:Journal03, Examples:Conference04, Examples:Journal04, Examples:Conference05, Examples:Journal05}. +The following is an enumerated list, or numbered list, with multiple levels: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{enumerate} +\item +\label{Item:ChapAbbr:ItemExampleA} +First level item +\item +First level item +\begin{enumerate} +\item +Second level item +\item +Second level item +\begin{enumerate} +\item +Third level item +\begin{enumerate} +\item +Fourth level item +\item +Fourth level item +\end{enumerate} +\item +Third level item +\end{enumerate} +\item +Second level item +\end{enumerate} +\item +\label{Item:ChapAbbr:ItemExampleB} +First level item +\end{enumerate} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +We draw your attention to items \ref{Item:ChapAbbr:ItemExampleA} and \ref{Item:ChapAbbr:ItemExampleB} in particular because they are very important in our study. +The following is an itemized list, or unnumbered list, with multiple levels: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{itemize} +\item +First level item +\item +First level item +\begin{itemize} +\item +Second level item +\item +Second level item +\begin{itemize} +\item +Third level item +\begin{itemize} +\item +Fourth level item +\item +Fourth level item +\end{itemize} +\item +Third level item +\end{itemize} +\item +Second level item +\end{itemize} +\item +First level item +\end{itemize} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Some More Examples} +\label{Section:ChapAbbr:SomeMoreExamples} + +According to~\cite{IEEEexample:book_typical}, this behavior can be explained this way. +\lipsum[12] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Examples of Mathematical Expressions, Definitions, and Theorems} +\label{Section:ChapAbbr:SomeMoreExamples:Math} + +We have the following unnumbered mathematical equation: +\[ +E=mc^2. +\] +On the other hand, the following is a numbered mathematical inequality: +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{align} +x \leq +\frac{\displaystyle\sum_{i=1}^{n} y^2 \cdot \one{y > 1}} +{\displaystyle\int_{-\infty}^{\infty} x^3 \;\text{d}z \cdot +\binom{\alpha}{\beta} \frac{\floor{\frac{a}{b}}}{\ceil{\frac{c}{d}}}}. +\label{Eq:ChapAbbr:EqExampleA} +\end{align} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +Inequality~\eqref{Eq:ChapAbbr:EqExampleA} will be applied multiple times to prove our theorems, in a manner similar to \cite{IEEEexample:article_typical, IEEEexample:conf_typical}. +We now introduce the following definition: + +\begin{Thm:Definition}[Name of Term Being Defined] +This is the definition of the term, along with relevant conditions, trivial cases, exceptions, etc. +\end{Thm:Definition} + +We can rewrite the result of \cite[Theorem~2.5]{IEEEexample:conf_typical} in the following convenient form for our problem: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{Thm:Proposition} +For all \mbox{$a,b,c\in\ZZ^+$}, we have +\label{Thm:Proposition:ChapAbbr:PropositionExample} +\[ +a^2+b^3\leq c^4. +\] +\end{Thm:Proposition} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +Based on our numerical observations, we make the following conjecture about the upper bound: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{Thm:Conjecture} +If \mbox{$x\geq 3$} and \mbox{$0<y<x^2$}, then for all \mbox{$n\in\ZZ^+$}, +\[ +\sum_{i=1}^{n} x_i += x_1 + x_2 + \cdots + x_n +\leq T_{\textup{all}}. +\] +\end{Thm:Conjecture} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +Here is a lemma that will be quite useful in deriving our results: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{Thm:Lemma} +[Name of Lemma if any] +\label{Thm:Lemma:ChapAbbr:LemmaExampleA} +If \mbox{$x,y,z\in\ZZ^+_0$}, then \mbox{$f(x+y+z) = 1$}. +\end{Thm:Lemma} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +Applying \Lemma~\mref{Thm:Lemma:ChapAbbr:LemmaExampleA} to \cite[Theorem~4.2]{IEEEexample:book_typical} produces the following theorem: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{Thm:Theorem} +[Name of Theorem if any] +\label{Thm:Theorem:ChapAbbr:TheoremExample} +If \mbox{$x+y\geq z$}, then +\begin{align*} +\sum_{i=x}^{y} f(i) \leq z. +\end{align*} +\end{Thm:Theorem} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +As a special case of \Theorem~\mref{Thm:Theorem:ChapAbbr:TheoremExample}, we have the following corollary: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{Thm:Corollary} +If \mbox{$x=4$} and \mbox{$y=z$}, then \mbox{$\sum_{i=x}^{y} f(i) = 5$}. +\end{Thm:Corollary} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\lipsum[13] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Conclusion and Future Work} +\label{Section:ChapAbbr:Conclusion} + +\lipsum[14-15] + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Proofs of Theorems} +\label{Section:ChapAbbr:ProofsOfTheorems} + +\noindent +{\color{red}% +Remember to manually disable (and re-enable) updates to the table of contents (TOC), using +\[ +\verb|\DisableTOCUpdates| +\text{ and } +\verb|\EnableTOCUpdates|, +\] +if you want to omit subsections, tables, figures, etc., from the table of contents.} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\DisableTOCUpdates + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Proof of Lemma~\ref{Thm:Lemma:ChapAbbr:LemmaExampleA}} + +\lipsum[16-17] +\qedmarker + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Proof of Theorem~\ref{Thm:Theorem:ChapAbbr:TheoremExample}} + +\lipsum[18] + +The following lemma will be quite useful in deriving the theorem: + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{Thm:Lemma} +\label{Thm:Lemma:ChapAbbr:LemmaExampleB} +If \mbox{$a,b,c\in\ZZ$}, then \mbox{$g(a\cdot b\cdot c) \leq -1$}. +\end{Thm:Lemma} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{proof} +[Proof of Lemma~\ref{Thm:Lemma:ChapAbbr:LemmaExampleB}] +\lipsum[19-20] +\end{proof} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\lipsum[21] +Applying \Lemma~\mref{Thm:Lemma:ChapAbbr:LemmaExampleB} yields the following: +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{align} +& A + B + C + D + E + F ++ \alpha + \beta + \gamma + \delta + \Gamma +\notag +\\ +&\hspace{5em} +\leq +\Omega + \Sigma + \omega + \sigma + \Theta + \theta + \epsilon ++ S + T + U + V + W + X + Y + Z. +\label{Eq:ChapAbbr:EqExampleB} +\end{align} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +Finally, the desired result is obtained by substituting \mbox{$A=b$} into \eqref{Eq:ChapAbbr:EqExampleB}. +\qedmarker + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\EnableTOCUpdates + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section{Acknowledgment} +\label{Section:ChapAbbr:Acknowledgment} + +Insert chapter acknowledgment here. +\lipsum[22] |