Learn deeply. Practice actively. Keep every note.
pi-notebook is a calm learning workspace where an AI tutor teaches you, quizzes you at every step, and writes structured, Obsidian-compatible markdown notes into your personal vault.
Eigenvalues & Eigenvectors
An eigenvector of a linear transformation T is a non-zero vector v that does not change direction when that linear transformation is applied. It only scales by a factor λ:
Matrix A stretches space. Eigenvectors point in the special directions along which space is strictly dilated without rotation.
Core Architecture
Engineered for genuine learning, not mindless copy-pasting
Three interconnected layers that turn complex subjects into permanent, structured knowledge.
Teach & Quiz
Active recall & Socratic drills
Passively reading explanations creates an illusion of competence. pi-notebook guides you step-by-step and pauses at conceptual checkpoints with instant multi-choice or open drills to ensure genuine mastery.
“Why must an orthogonal matrix have determinant ±1?”
Obsidian-Compatible Vault
Pure Markdown, LaTeX & Wikilinks
No proprietary silos or locked databases. Notes created by the AI tutor are clean, portable Markdown files with frontmatter, KaTeX math blocks, and wikilinks. Open or sync your vault with Obsidian anytime.
Session Log
Full transparency & inspectable diffs
Watch exactly how the agent works. Inspect every file operation, tool execution, and reasoning step. Nothing changes in your vault without a recorded audit trail and verifiable file diff.
Workflow
How pi-notebook works
From first curiosity to an organized, searchable library of notes in three intuitive steps.
Set your learning goal
Tell π what you want to conquer—whether it's linear algebra, quantum computing, system design, or French grammar. The tutor sets up a structured learning path.
Active dialogue & checkpoint drills
Engage in an interactive Socratic dialogue. Whenever a critical concept is introduced, π tests your intuition with instant quizzes to verify understanding before moving on.
Build your permanent vault
Every lesson produces polished, linked markdown files in your vault. Full Obsidian compatibility means your second brain stays completely under your control forever.
FAQ
Frequently Asked Questions
Everything you need to know about the product, Obsidian compatibility, and beta access.
Ready to turn active learning into a permanent knowledge vault?
Join the pi-notebook beta today. Learn topics deeply with interactive Socratic quizzing and take full ownership of your Markdown notes.
Free during beta • Obsidian compatible • Export anytime