Thalean Wiki¶

Welcome to the Thalean Wiki – a living, AI-assisted knowledge base for math and science.

This site is generated locally on Node A using:

• A drafting LLM (Dolphin via Ollama)
• An editing pass for clarity and structure
• A STEM verifier for math and science topics
• Automatic deployment to GitHub Pages at wiki.thalean.space

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Latest pages¶

• limit-definition-of-the-derivative

• limit-definition-of-the-derivative The newest pages appear here:

• Limit Definition of the Derivative

• Power Rule for Derivatives
• Product Rule for Derivatives
• Quotient Rule for Derivatives
• Chain Rule for Derivatives
• Derivatives of Trigonometric Functions
• Related Rates Problems
• Optimization Problems in Calculus
• Limits and Continuity
• Mean Value Theorem
• Curve Sketching with Derivatives
• Quadratic Formula – Derivation and Worked Examples

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Math curriculum (in progress)¶

Calculus I (Differential)¶

• Limit Definition of the Derivative
• Power Rule for Derivatives
• Product Rule for Derivatives
• Quotient Rule for Derivatives
• Chain Rule for Derivatives
• Derivatives of Trigonometric Functions
• Related Rates Problems
• Optimization Problems in Calculus
• Limits and Continuity
• Mean Value Theorem
• Curve Sketching with Derivatives

Algebra II¶

• Quadratic Formula – Derivation and Worked Examples

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Notation¶

To keep things consistent for both humans and AI agents:

• Inline math is written as \( ... \)
  Example: \( f(x) = x^2 \) → \( f(x) = x^2 \)

• Display equations are written as \[ ... \]
  Example:
  \[ f'(x) = 2x \] →
  [ f'(x) = 2x ]

All pages should follow these conventions so that rendering and AI retrieval stay clean.