Math Vault - Obsidian Zettelkasten

This skill helps you search and use Pepe's math notes stored in an Obsidian vault.

Vault Location

/Users/pepe/Library/Mobile Documents/iCloud~md~obsidian/Documents/Math

Structure

Searching the Vault

Find a theorem or concept

# Search by name
ls "/Users/pepe/Library/Mobile Documents/iCloud~md~obsidian/Documents/Math/Calculo I/" | grep -i "bolzano"

# Search content across all notes
grep -r "valor intermedio" "/Users/pepe/Library/Mobile Documents/iCloud~md~obsidian/Documents/Math/"

Common Calculo I files

• •Teorema de Bolzano.md - Bolzano's theorem
• •Teorema de los valores intermedios.md - Intermediate Value Theorem
• •Teorema de Weierstrass.md - Extreme Value Theorem
• •Función continua.md - Continuity definition and properties
• •Función monótona.md - Monotone functions
• •Densidad de Q en R.md - Density of rationals

Note Format

Notes are in Spanish with:

• •YAML frontmatter with tags (including review for flashcards)
• •LaTeX math: $...$ inline, $$...$$ display
• •Wiki-style links: [[Other Note]]
• •Flashcards section at the end: ## 🃏 Flashcards

Example note structure

---
tags:
  - analysis
  - theorem
  - review
---

# Teorema de Bolzano

## Enunciado
...

## Demostración
...

## Relaciones
- [[Función continua]]
- [[Teorema de los valores intermedios]]

---

## 🃏 Flashcards

Teorema de Bolzano
??
Si $f$ es continua en $[a,b]$ y $f(a) \cdot f(b) < 0$, existe $c \in (a,b)$ con $f(c) = 0$

Source PDFs

Course materials are in iCloud Drive:

Important Guidelines

1. •Language: All notes are in Spanish with formal mathematical terminology
2. •Atomic notes: One concept per file, keep notes concise
3. •Before creating: Search first to avoid duplicates
4. •Flashcards: Use ? (one-way) or ?? (bidirectional) syntax
5. •Tags: Keep in English in YAML frontmatter, include review if note has flashcards