Add universal LaTeX notes template

- Universal template.tex for any course
- VSCode LaTeX Workshop configuration
- LaTeX .gitignore for auxiliary files
- Cursor.md for AI assistant context

4 files changed, 457 insertions, 0 deletions

diff --git a/.gitignore b/.gitignore
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+# LaTeX auxiliary files
+*.aux
+*.lof
+*.log
+*.lot
+*.fls
+*.out
+*.toc
+*.fmt
+*.fot
+*.cb
+*.cb2
+.*.lb
+
+# LaTeX intermediate files
+*.dvi
+*.xdv
+*-converted-to.*
+
+# LaTeX biblatex
+*.bcf
+*.blg
+*.bbl
+*.run.xml
+
+# LaTeX build files
+*.fdb_latexmk
+*.synctex.gz
+*.synctex(busy)
+*.pdfsync
+
+# LaTeX index files
+*.idx
+*.ilg
+*.ind
+*.ist
+
+# LaTeX glossary files
+*.acn
+*.acr
+*.glg
+*.glo
+*.gls
+*.glsdefs
+*.lzo
+*.lzs
+
+# LaTeX beamer files
+*.nav
+*.pre
+*.snm
+*.vrb
+
+# LaTeX algorithm2e
+*.alg
+*.loa
+
+# LaTeX achemso
+acs-*.bib
+
+# LaTeX amsthm
+*.thm
+
+# LaTeX beamer
+*.nav
+*.pre
+*.snm
+*.vrb
+
+# LaTeX changes
+*.soc
+
+# LaTeX cprotect
+*.cpt
+
+# LaTeX endfloat
+*.ttt
+*.fff
+
+# LaTeX fancyhdr
+*.fancyhdr
+
+# LaTeX hyperref
+*.figlist
+*.makefile
+*.xref
+
+# LaTeX listings
+*.lol
+
+# LaTeX minted
+_minted*
+*.pyg
+
+# LaTeX morewrites
+*.mw
+
+# LaTeX nomencl
+*.nlg
+*.nlo
+*.nls
+
+# LaTeX pax
+*.pax
+
+# LaTeX pdfpages
+*.pdf_tex
+
+# LaTeX sagetex
+*.sagetex.sage
+*.sagetex.py
+*.sagetex.scmd
+
+# LaTeX scrwfile
+*.wrt
+
+# LaTeX sympy
+*.upa
+*.upb
+
+# LaTeX TikZ & PGF
+*.auxlock
+*.figlist
+*.makefile
+*.xref
+
+# LaTeX todonotes
+*.tdo
+
+# LaTeX xindy
+*.xdy
+
+# LaTeX xypic
+*.xyc
+
+# LaTeX latexmk
+*.fdb_latexmk
+
+# LaTeX pythontex
+*.pytxcode
+pythontex-files-*/
+
+# LaTeX thmtools
+*.loe
+
+# LaTeX Asymptote
+*.asy
+*.pre
+
+# LaTeX WinEdt
+*.bak
+*.sav
+
+# LaTeX LyX
+*.lyx~
+
+# LaTeX Kile
+*.kilepr
+
+# macOS specific
+.DS_Store
+.DS_Store?
+._*
+.Spotlight-V100
+.Trashes
+ehthumbs.db
+Thumbs.db
+
+# Editor specific (keep .vscode/ for LaTeX Workshop config)
+.idea/
+*.swp
+*.swo
+*~
+
+# Backup files
+*~
+*.backup
+*.bak
+*.orig 
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diff --git a/.vscode/settings.json b/.vscode/settings.json
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+{
+    "latex-workshop.latex.tools": [
+        {
+            "name": "latexmk",
+            "command": "/Library/TeX/texbin/latexmk",
+            "args": [
+                "-synctex=1",
+                "-interaction=nonstopmode",
+                "-file-line-error",
+                "-pdf",
+                "-outdir=%OUTDIR%",
+                "%DOC%"
+            ],
+            "env": {
+                "PATH": "/Library/TeX/texbin:/opt/homebrew/bin:/opt/homebrew/sbin:/usr/local/bin:/usr/bin:/bin:/usr/sbin:/sbin"
+            }
+        },
+        {
+            "name": "pdflatex",
+            "command": "/Library/TeX/texbin/pdflatex",
+            "args": [
+                "-synctex=1",
+                "-interaction=nonstopmode",
+                "-file-line-error",
+                "%DOC%"
+            ],
+            "env": {
+                "PATH": "/Library/TeX/texbin:/opt/homebrew/bin:/opt/homebrew/sbin:/usr/local/bin:/usr/bin:/bin:/usr/sbin:/sbin"
+            }
+        }
+    ],
+    "latex-workshop.latex.recipes": [
+        {
+            "name": "latexmk 🔃",
+            "tools": [
+                "latexmk"
+            ]
+        },
+        {
+            "name": "pdflatex ➞ pdflatex",
+            "tools": [
+                "pdflatex",
+                "pdflatex"
+            ]
+        }
+    ],
+    "latex-workshop.view.pdf.viewer": "tab",
+    "latex-workshop.latex.autoClean.run": "onBuilt",
+    "latex-workshop.latex.autoBuild.run": "onFileChange"
+} 
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diff --git a/cursor.md b/cursor.md
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+# Cursor AI Project Context
+
+## 📚 Project Overview
+This is a **Universal LaTeX Academic Notes Template** repository. This template provides an optimized LaTeX structure for creating academic notes across different courses and subjects.
+
+## 🎯 Purpose
+- **Template-based**: Reusable LaTeX structure for consistent note-taking
+- **Multi-course**: Adaptable for any academic subject
+- **Math-friendly**: Pre-configured for mathematical formulas and algorithms
+- **Optimized Layout**: Compact margins and spacing for maximum content density
+
+## 📁 File Structure
+```
+course-notes/
+├── template.tex              # Main LaTeX template file
+├── .gitignore               # LaTeX build files exclusions
+├── .vscode/
+│   └── settings.json        # VSCode LaTeX Workshop configuration
+├── cursor.md               # This file - AI context
+├── README.md               # Human-readable documentation
+└── [date-folders]/         # Individual lecture notes (e.g., 2025-01-15/)
+    ├── [date]-notes.tex    # Lecture-specific notes
+    ├── [date]-notes.pdf    # Compiled PDF
+    └── images/             # Lecture images/diagrams
+```
+
+## 🔧 Technical Configuration
+
+### LaTeX Setup
+- **Engine**: pdflatex (preferred) or latexmk
+- **Packages**: amsmath, amsfonts, amssymb, graphicx, geometry, setspace
+- **Page Layout**: 1.5cm margins, 0.9 line spacing for compactness
+- **Math Mode**: Display equations `\[ \]`, inline math `$ $`
+
+### VSCode Integration
+- **Extension**: LaTeX Workshop
+- **Auto-build**: Enabled on file save
+- **Auto-clean**: Removes auxiliary files after build
+- **PDF Viewer**: Integrated tab viewer
+
+## 📝 Usage Patterns
+
+### Creating New Notes
+1. Copy `template.tex` to `YYYY-MM-DD/YYYY-MM-DD-notes.tex`
+2. Update title: `[Course Code] Notes - [Topic/Date]`
+3. Replace placeholder content with lecture material
+4. Build with pdflatex or use VSCode auto-build
+
+### Content Structure
+- **Definitions**: Use `\textbf{Term:}` followed by explanation
+- **Mathematical Formulas**: Display mode for key equations
+- **Algorithms**: Numbered enumerate environment
+- **Key Insights**: Bold formatting for important points
+- **Examples**: Step-by-step calculations with intermediate steps
+
+### Common LaTeX Patterns
+```latex
+% Key definitions
+\textbf{Definition:} Explanation here
+
+% Mathematical formulas
+\[
+\text{Formula} = \sum_{i=1}^{n} x_i
+\]
+
+% Algorithms
+\begin{enumerate}
+    \item Step 1: Initialize...
+    \item Step 2: While condition...
+    \item Step 3: Return result
+\end{enumerate}
+
+% Including images
+\begin{figure}[h]
+\centering
+\includegraphics[width=0.8\textwidth]{image-name.png}
+\caption{Description}
+\end{figure}
+```
+
+## 🎓 Academic Contexts
+This template works well for various subjects:
+- **Mathematics**: Proofs, theorems, problem solutions
+- **Computer Science**: Algorithms, data structures, complexity analysis
+- **Physics**: Equations, derivations, experimental procedures
+- **Engineering**: Technical specifications, design processes
+- **Economics**: Models, formulas, statistical analysis
+
+## 🤖 AI Assistant Guidelines
+
+### When helping with this project:
+1. **LaTeX Focus**: Prioritize LaTeX syntax and mathematical formatting
+2. **Subject Agnostic**: Adapt to any academic discipline
+3. **Template Consistency**: Maintain the established structure and style
+4. **Compact Layout**: Favor dense, information-rich formatting
+5. **Mathematical Precision**: Ensure correct mathematical notation
+6. **Build Process**: Always test compilation after changes
+
+### Common Tasks:
+- Converting handwritten/text notes to structured LaTeX
+- Adding mathematical formulas and algorithms
+- Including and formatting diagrams/images
+- Organizing content into logical sections
+- Optimizing layout for readability and compactness
+
+### File Organization:
+- Each lecture/topic gets its own dated folder
+- Images and diagrams in subfolder
+- Maintain consistent naming: `YYYY-MM-DD-notes.tex`
+- Git workflow: commit after each completed lecture
+
+## 🔄 Workflow Integration
+- **Version Control**: Git with meaningful commit messages
+- **Build System**: LaTeX Workshop with auto-compilation
+- **PDF Generation**: Immediate feedback with integrated viewer
+- **Template Updates**: Propagate improvements across all notes
+
+This template is optimized for academic efficiency and AI-assisted note-taking across all subjects! 
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diff --git a/template.tex b/template.tex
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+\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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