name: write2latex description: Use this skill whenever the user uploads handwritten notes, problem sets, scanned documents, or iPad handwriting PDFs and wants them converted into LaTeX format. Trigger phrases include: convert to LaTeX, transcribe to tex, handwriting to LaTeX, LaTeX this, typeset my notes, put this in Overleaf format. Activate proactively whenever the user uploads an image or PDF containing mathematical expressions or handwritten academic content.

Handwriting to LaTeX Skill

Recognise handwritten notes or problem sets (images or PDFs) and convert them into a complete, Overleaf-ready .tex file.

Supported Input Types

If the user uploads multiple pages, process them in order and merge into a single .tex file.

Output Structure

Generate a complete, self-contained .tex file with the following structure:

\documentclass[12pt, a4paper]{article}

% ─── Packages ────────────────────────────────────
\usepackage{amsmath, amssymb, amsthm}  % Mathematics
\usepackage{physics}                    % \dv, \pdv, \bra, \ket etc.
\usepackage{geometry}                   % Page margins
\usepackage{graphicx}                   % Images
\usepackage{booktabs}                   % Tables
\usepackage{array}                      % Enhanced matrices
\usepackage{hyperref}                   % Hyperlinks
\usepackage{setspace}                   % Line spacing
\usepackage{enumitem}                   % List formatting
\geometry{margin=2.5cm}
\setstretch{1.3}

% ─── Cover page (optional — remove if not needed) ─
\title{Assignment / Notes Title}
\author{Your Name \\ Your Institution}
\date{\today}
% ──────────────────────────────────────────────────

\begin{document}

\maketitle   % Remove this line if no cover page is needed

% Body content starts here
...

\end{document}

Recognition and Conversion Rules

Mathematical Expressions

• Inline expressions: $...$
• Multi-step derivations: \begin{align*}...\end{align*} (with * — no line numbering)
• Single standalone equations: \[ ... \] — do not use \begin{equation}
• Never output numbered equation tags — do not use \tag{}, \label{}, or \ref{} unless the user explicitly requests them
• Preserve every step of a derivation exactly as written — do not skip steps
• Common symbol reference:

Matrices and Tables

• Matrices: \begin{pmatrix}...\end{pmatrix} (round brackets) or bmatrix (square brackets)
• Augmented matrices: \left[\begin{array}{cc|c}...\end{array}\right]
• Data tables: booktabs style — use \toprule, \midrule, \bottomrule

Text Paragraphs

• Write all paragraphs and explanations in Chinese (except mathematical formulas)
• If handwriting contains non-Chinese annotations, translate them to Chinese naturally
• Preserve the paragraph structure as written
• Problem numbers: use \section*{Problem 1} or \subsection*{(a)}

Cover Page (Optional)

Only add a cover page when the user explicitly requests one. When included, prompt the user for:

• Title (assignment name / course name)
• Author name
• Institution
• Date (defaults to \today)

Workflow

Step 1 — Receive Input

• Obtain the image or PDF from the conversation
• If multiple images are uploaded, confirm the page order with the user:

  "Please confirm the page order: Page 1 → Page 2 → Page 3, or do you need to reorder?"

Step 2 — Pre-conversion Confirmation

Before starting the conversion, show the user a brief summary and ask for confirmation:

I can see the following:
- Content: {brief description, e.g. "QM derivation, ~3 equations, 1 matrix"}
- Sections: {detected section or problem numbers}
- Cover page: Yes / No

Shall I proceed with the conversion?

Wait for user confirmation before generating the .tex file.

Step 3 — Recognise Content

• Read every line of handwritten content carefully
• For ambiguous passages, add a LaTeX comment: % [Unclear: transcribed as X, please verify]
• Do not skip any step, even intermediate calculations

Step 4 — Convert Block by Block

• Text → paragraphs
• Equations → align* environment
• Matrices → pmatrix / bmatrix
• Tables → booktabs tables

Step 5 — Generate File

• Filename: {course-code}-{content-description}.tex (e.g. PHYS101-QM-hw3.tex)
• Save to /mnt/user-data/outputs/
• Also display the complete LaTeX source in the chat for easy copying

Step 6 — Quality Check

• Confirm every \begin has a matching \end
• Confirm math environments are not nested (e.g. no equation inside align)
• If anything is uncertain, append a "Please verify" list at the end of the reply

Important Notes

• Never simplify derivations — if the handwriting has five steps, output five steps, aligned at each equals sign
• Physics packages included by default — the physics package is always loaded, providing \dv, \pdv, \ket, \bra, and other commands commonly used in physics and physical chemistry
• Compiler target — optimised for Overleaf pdfLaTeX by default; no settings changes needed, just hit Compile
• Language — all body text and explanations should be in Chinese (except mathematical formulas); translate any non-Chinese handwritten annotations naturally
• Ambiguous handwriting — always add a comment rather than silently guessing: % [Unclear: transcribed as X, please verify]
• Cover page — omitted by default unless the user explicitly says "add cover page"