Lectures related to Wayl's Theorem: Polynomial Clarity

Concept of Proof in Mathematics

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

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Prime Number Theorem

Explores the proof of the Prime Number Theorem and its implications in number theory.

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Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Injective Functions: Properties and Examples

Covers the properties of injective functions and demonstrates their proofs through examples and visual aids.

Generalization Error

Explores tail bounds, information bounds, and maximal leakage in the context of generalization error.

The Languages of Isabelle: Isar, ML, and Scala

Explores the languages of Isabelle, focusing on Isar, ML, and Scala, covering proof schemes, Natural Deduction rules, inductive definitions, and the LCF approach.

Derivative of an Integral with Parameter

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Introduction to Coq: Arithmetic Expressions and Evaluators

Covers the basics of Coq, focusing on arithmetic expressions, evaluation, and proof techniques.