\chapter{Placeholder Content and Additional Demonstrations}

This chapter contains placeholder content that you may replace with your own thesis material. It also serves as a continuation of demonstrating \LaTeX\ environments like advanced equations, tables, figures, and reference formatting.

\section{Complex Equations and Physics Demos}

Here is an example of Maxwell’s equations in differential form:

\begin{equation}
	\begin{aligned}
		\nabla \cdot \vec{E} &= \frac{\rho}{\varepsilon_0}, \\
		\nabla \cdot \vec{B} &= 0, \\
		\nabla \times \vec{E} &= -\frac{\partial \vec{B}}{\partial t}, \\
		\nabla \times \vec{B} &= \mu_0 \vec{J} + \mu_0 \varepsilon_0 \frac{\partial \vec{E}}{\partial t}
	\end{aligned}
	\label{eq:maxwell}
\end{equation}

\autoref{eq:maxwell} is often cited in studies involving electromagnetic wave propagation \parencite{jackson1998classical}.

\section{Advanced Tables with Styling}

Below is a sample table showing hierarchical cell merging and enhanced border styling.

\begin{table}[H]
	\centering
	\small % slightly reduce font size
	\caption[Comparison Table]{Comparison of Formatting Features in Popular Thesis Writing Tools}
	\label{tab:formattingfeatures}
	\renewcommand{\arraystretch}{1.5}
	\begin{tabular}{|p{3.2cm}|p{2.8cm}|p{3.2cm}|p{4cm}|}
		\hline
		\rowcolor[HTML]{F2F2F2}
		\textbf{Tool} & \textbf{BibTeX Support} & \textbf{High DPI Output} & \textbf{Recommended For} \\
		\hline
		\LaTeX\ (Overleaf, TeXstudio) & Yes & PDF (300+ dpi), vector formats & \multicolumn{1}{p{4cm}|}{\textbf{Research Theses}, Journal Submissions} \\
		\hline
		MS Word + Zotero & Yes & PNG, JPEG (72-150 dpi) & Internal Reports, Formatting Practice \\
		\hline
		Google Docs + Mendeley & Partial & PNG (Low DPI) & Quick Collaborations, Drafting \\
		\hline
	\end{tabular}
\end{table}


Another table showing alignment and styling for numeric data:

\begin{table}[H]
	\centering
	\caption[Sensor Output Table]{Multisensor Data Capture Output}
	\label{tab:sensordemo}
	\begin{tabular}{||l||r|r|r|r||}
		\hline\hline
		\textbf{Sensor ID} & \textbf{Time 1 (ms)} & \textbf{Time 2 (ms)} & \textbf{Time 3 (ms)} & \textbf{Mean (ms)} \\
		\hline\hline
		S1 & 123.5 & 121.8 & 125.0 & 123.4 \\
		S2 & 98.3  & 100.1 & 99.7  & 99.4  \\
		S3 & 115.0 & 114.7 & 116.2 & 115.3 \\
		\hline\hline
	\end{tabular}
\end{table}

\section{Demonstrating Rich Citations}

\noindent\textit{Note: All references cited in this section are fictitious and are included solely to demonstrate citation and bibliography features of the  \LaTeX\ thesis template.}

The use of \LaTeX\ in academic thesis writing has significantly increased in recent years, offering enhanced control over layout, bibliography management, and cross-referencing \parencite{latexMaster2023,figChaos2021,gptHelp2025,stackexchange2024}. In particular, tools like Overleaf have helped scholars collaborate efficiently in a cloud-based environment \parencite{overleafDocs2023,texstudioManual2021}.

The clarity and typesetting of mathematical content using \LaTeX\ remain unparalleled, especially in the context of engineering and physics research \parencite{maxwellFoundations1873}. While modern word processors have evolved, most experts agree that \LaTeX\ ensures long-term compatibility, reproducibility, and presentation quality.

In addition to conventional journal and conference literature, scholarly writing frequently draws upon a wider range of research outputs. Book chapters often provide focused surveys and domain overviews \parencite{2022SmartHealthcareChapter}, while institutional reports are commonly referenced for policy and governance perspectives \parencite{Lopez2022AIStandards}. Theses remain an important source of methodological and experimental detail, both at the doctoral level \parencite{2024PhDThesis} and the master’s level \parencite{2021MastersThesis}. Increasingly, datasets supporting empirical studies are cited as independent research outputs \parencite{2024Dataset}, and preliminary or ongoing research may also be referenced where appropriate \parencite{Jose2025MicroOratoryWorkingPaper}.


\section{Additional Figures}

Figures~\autoref{fig:surface} and~\autoref{fig:bars} demonstrate \LaTeX's ability to handle high-quality visual content.

\begin{figure}[H]
	\centering
	\includegraphics[width=0.7\textwidth]{TeX_files/Chapter_02/fig_3d_surface.pdf}
	\caption[3D Surface Plot]{A 3D surface plot visualizing $z = \sin(\sqrt{x^2 + y^2})$, demonstrating graphical rendering capabilities in LaTeX.}
	\label{fig:surface}
\end{figure}

\begin{figure}[H]
	\centering
	\includegraphics[width=0.7\textwidth]{TeX_files/Chapter_02/fig_comparison_bars.pdf}
	\caption[Comparison Bar Chart]{Illustrative comparison of thesis preparation progress.}
	\label{fig:bars}
\end{figure}


\section{Conclusion}

This chapter continues our demonstration of \LaTeX\ capabilities. Replace it with your real content, but feel free to copy structure, equation formatting, table styles, or referencing style.