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diff --git a/template.tex b/template.tex new file mode 100644 index 0000000..284b635 --- /dev/null +++ b/template.tex @@ -0,0 +1,110 @@ +\documentclass{article} +\usepackage[utf8]{inputenc} +\usepackage[margin=1.5cm, top=2cm, bottom=2cm]{geometry} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{graphicx} +\usepackage{setspace} +\setstretch{0.9} + +\title{[Course Code] Notes - [Topic/Date]} +\author{Your Name} +\date{\today} + +\begin{document} + +\maketitle + +\section{Section Title} + +Brief introduction or overview of the topic. + +\subsection{Definitions} +\textbf{Key Term:} Definition here + +\textbf{Mathematical Definition:} +\[ +\text{Formula} = \mathbb{E}_{(x,y) \sim D}[L(h(x), y)] +\] + +\subsection{Important Concepts} +\begin{itemize} + \item \textbf{Point 1:} Description with math $\theta$ + \item \textbf{Point 2:} Another important concept + \item \textbf{Point 3:} Final key point +\end{itemize} + +\section{Mathematical Derivations} + +\subsection{Step-by-Step Process} +Starting from the basic equation: +\[ +f(x) = ax + b +\] + +Taking the derivative: +\[ +\frac{df}{dx} = a +\] + +\textbf{Result:} The derivative is constant. + +\subsection{Example Calculation} +Given data points $(x_1, y_1), (x_2, y_2), \ldots, (x_n, y_n)$: + +\textbf{Step 1:} Calculate the mean +\[ +\bar{x} = \frac{1}{n}\sum_{i=1}^{n} x_i +\] + +\textbf{Step 2:} Expanding the sum: +\[ += \frac{1}{n}[x_1 + x_2 + \ldots + x_n] +\] + +\section{Algorithms} + +\subsection{Algorithm Name} +\textbf{Input:} Data, parameters, etc. + +\textbf{Algorithm:} +\begin{enumerate} + \item Initialize parameters $\theta = 0$ + \item While not converged: + \begin{itemize} + \item Update: $\theta := \theta - \alpha \nabla J(\theta)$ + \item Check convergence: $|J(\theta^{(t+1)}) - J(\theta^{(t)})| < \epsilon$ + \end{itemize} + \item Return $\hat{\theta}$ +\end{enumerate} + +\textbf{Output:} Optimized parameters + +\section{Visual Elements} + +\subsection{Including Figures} +% Uncomment and modify as needed: +% \begin{figure}[h] +% \centering +% \includegraphics[width=0.8\textwidth]{your-image.png} +% \caption{Your caption here} +% \end{figure} + +\subsection{Key Insights} +\textbf{Important Note:} Always remember that... + +\textbf{Practical Tip:} In practice, you should... + +\section{Summary} + +\textbf{Main Takeaways:} +\begin{itemize} + \item Summary point 1 + \item Summary point 2 + \item Summary point 3 +\end{itemize} + +\textbf{Next Steps:} What to study next... + +\end{document}
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