\documentclass[a5paper]{article}
\usepackage[top=30mm,bottom=30mm,left=25mm,right=25mm]{geometry}
\usepackage{fancyhdr}
\pagestyle{fancy}
\fancyhf{}
\fancyhead[L]{Sample}
\fancyfoot[L]{YIT, Moodbidri}
\fancyfoot[C]{Page \thepage}
\renewcommand{\headrulewidth}{2pt}
\renewcommand{\footrulewidth}{2pt}
\begin{document}
\section{SAMPLE}
SAMPLE
\section{SAMPLE}
SAMPLE
\end{document}

\documentclass[a4paper,12pt]{article}
\begin{document}
\vfill
\begin{abstract}
SAMPLE
\end{abstract}
\vfill
\end{document}

\documentclass[12pt,a4paper]{report}

\usepackage{graphicx}
\usepackage[top=20mm,bottom=20mm,left=20mm,right=20mm]{geometry}

\begin{document}

\begin{titlepage}
\begin{center}

{\Large\textbf{VISVESVARAYA TECHNOLOGICAL UNIVERSITY}}\\
Jnana Sangama, Belagavi -  12345\\

\vspace{0.3in}

\includegraphics[width=6cm]{vtu.jpg}

\vspace{0.3in}

\textbf{A PROJECT REPORT}\\
ON

\vspace{0.3in}

{\Large\textbf{REMOTE REPORT FORMAT USING LATEX}}\\

\vspace{0.3in}

Bachelor of Engineering in\\
\textbf{INFORMATION SCIENCE AND ENGINEERING}\\

\vspace{0.2in}

Submitted By

\vspace{0.2in}

\begin{tabular}{ll}
4DM24IS000 & Sample1 \\
4DM24IS000 & Sample2 \\
4DM24IS000 & Sample3 \\
4DM24IS000 & Sample4 \\
\end{tabular}

\vspace{0.3in}

Under the Guidance of\\
\textbf{Prof. Rooha Razmid Ahmed}

\vspace{0.3in}

\includegraphics[width=3cm]{yit.jpg}

\vspace{0.15in}

\textbf{Department of Information Science and Engineering}\\
\textbf{YENEPOYA INSTITUTE OF TECHNOLOGY}\\
Moodbidri, Karnataka\\

\vspace{0.1in}

\textbf{2025--2026}

\end{center}
\end{titlepage}

\end{document}

\documentclass[english,12pt,a4paper]{article}

\usepackage[T1]{fontenc}
\usepackage{babel}
\usepackage{graphicx}
\thispagestyle{empty}
\begin{document}
\begin{center}

{\large\textbf{Yenepoya Institute of Technology}}\\
N.H.13, Thodar, Vidyanagar, Moodbidri, Mangalore, Karnataka-574225\
{\small Department of Information Science and Engineering}

\vspace{0.2in}

\includegraphics[width=0.5\textwidth]{yit.jpg}

\vspace{0.1in}

{\large\textbf{\underline{CERTIFICATE}}}

\end{center}

\vspace{0.2in}

Certified that Technical Seminar entitled ``SOCIAL CONNECT AND RESPONSIBILITY'' carried out by Sample1--4DM24IS000, Sample2--4DM24IS000, Sample3--4DM24IS000 and Sample4--4DM24IS000, bonafide students of Yenepoya Institute of Technology in partial fulfillment for the award of Bachelor of Engineering in Information Science and Engineering of Visvesvaraya Technological University, Belagavi during the academic year 2025--2026.
It is certified that they have completed the project.

\vspace{0.8in}

\begin{tabular}{lll}
\textbf{Guide} & \hspace{2.5cm} \textbf{Coordinator} & \hspace{2.5cm} \textbf{HOD}
\end{tabular}

\vspace{0.5in}

\textbf{External Examiner Signature}

\vspace{0.2in}

\textbf{Examiner 1:}

\vspace{0.2in}

\textbf{Examiner 2:}

\end{document}

\documentclass[12pt,a4paper]{article}

\usepackage{multirow}

\begin{document}

\begin{center}
\textbf{4th Semester Results}
\end{center}

\begin{table}[h]
\centering
\caption{Student Marks}
\label{tab:marks}

\begin{tabular}{|c|c|c|c|c|c|}
\hline
\multirow{2}{*}{S.No} &
\multirow{2}{*}{USN} &
\multirow{2}{*}{Student Name} &
\multicolumn{3}{c|}{Marks} \\
\cline{4-6}

& & & Subject1 & Subject2 & Subject3 \\
\hline

1 & 4DM24IS000 & Sample1 & 00 & 00 & 00 \\
\hline

2 & 4DM24IS000 & Sample2 & 00 & 00 & 00 \\
\hline

3 & 4DM24IS000 & Sample3 & 00 & 00 & 00 \\
\hline

\end{tabular}

\end{table}

\end{document}

\documentclass{article}
\usepackage{graphicx}
\usepackage{subcaption}
\begin{document}
\begin{figure}[h]
\centering
\begin{subfigure}[b]{0.4\textwidth}
\includegraphics[width=\textwidth]{vtu.jpg}
\caption{Image 1}
\label{fig:image1}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.4\textwidth}
\includegraphics[width=\textwidth]{yit.jpg}
\caption{Image 2}
\label{fig:image2}
\end{subfigure}
\caption{Side-by-side Images}
\label{fig:side_by_side}
\end{figure}
\end{document}

\documentclass{article}
\usepackage{amsmath}

\begin{document}

{\Large
\[
\begin{aligned}
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
&=\frac{-2\pm\sqrt{2^2-4(1)(-8)}}{2}\\
&=\frac{-2\pm\sqrt{4+32}}{2}
\end{aligned}
\qquad\qquad
\begin{aligned}
\gamma^\Lambda\Sigma A_T&=\sum_{\pi\in A_t}sgn(\sigma^{-1}t\sigma)\gamma^\lambda\\
&=\sum_{\tau\in T_t}\gamma_t\,sgn(\sigma^{\gamma-1}T\sigma)\\
&=A_{\sigma t}\gamma^\lambda\sigma
\end{aligned}
\]
}

\end{document}

\documentclass{report}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\begin{document}
\chapter{Sample}
Sample
\begin{theorem}
Sample
\end{theorem}
\begin{lemma}
Sample
\end{lemma}
\chapter{Sample}
Sample
\begin{theorem}
Sample
\end{theorem}
\begin{corollary}
Sample
\end{corollary}
\end{document}

\documentclass{article}
\title{Sample Topic}
\author{Your Name}
\date{\today}
\begin{document}
\maketitle
\section{Introduction}
This is sample text for demonstrating citations in LaTeX \cite{ref1}.
This is another sample sentence \cite{ref2}.
\section{Discussion}
This is sample discussion text with a citation \cite{ref3}.
This is another sample statement \cite{ref4}.
\begin{thebibliography}{9}
\bibitem{ref1}
Reference 1
\bibitem{ref2}
Reference 2
\bibitem{ref3}
Reference 3
\bibitem{ref4}
Reference 4
\end{thebibliography}
\end{document}

\documentclass{article}
\usepackage{tikz}
\begin{document}
\title{sample}
\author{Your Name}
\date{\today}
\maketitle
\section{sample}
sample
\begin{figure}[h]
\centering
\begin{tikzpicture}
[
every node/.style={rectangle, rounded corners, draw, align=center},
level 1/.style={sibling distance=60mm},
level 2/.style={sibling distance=25mm}
]
\node[red] {sample\\example}
child {
    \node[cyan] {sample\\example}
    child { \node[cyan] {sample} }
    child { \node[cyan] {sample} }
}
child {
    \node[blue] {sample\\example}
    child { \node[blue] {sample} }
    child { \node[blue] {sample} }
};
\end{tikzpicture}
\caption{sample}
\end{figure}
\end{document}

\documentclass{article}

\usepackage{algorithm}
\usepackage{algorithmic}

\begin{document}

\begin{algorithm}
\caption{Euclid's algorithm}
\label{euclid}
\begin{algorithmic}[1] % 1 means line numbering
\REQUIRE two non-negative integers $a$ and $b$ where $a \geq b$
\ENSURE $d = \gcd(a, b)$
\STATE $r \gets a \bmod b$
\WHILE{$r \neq 0$}
\STATE $a \gets b$
\STATE $b \gets r$
\STATE $r \gets a \bmod b$
\ENDWHILE
\RETURN $b$
\end{algorithmic}
\end{algorithm}

\end{document}

\documentclass[a4paper,12pt]{report}
\usepackage[top=10mm,bottom=10mm,left=20mm,right=10mm]{geometry}
\title{Technical Writing using LaTeX}
\author{
Your Name\\
Department of Information Science
}
\date{\today}
\begin{document}
\maketitle
\tableofcontents
\chapter{Introduction}
This report demonstrates the use of the LaTeX report class for
creating structured technical documents.
\chapter{Methods}
Various packages can be used to improve document layout and
appearance.
\chapter{Conclusion}
LaTeX is a powerful tool for preparing professional documents.
\end{document}