Proof by contradiction

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Related lectures (31)

Page 3 of 4

Set Cover: Integrality Gap

Explores the integrality gap concept in set cover and multiplicative weights algorithms.

Entanglement: Bell Inequalities

Covers entanglement, Bell inequalities, CSHS requirements, EPR paradox, and experimental verification in quantum mechanics.

Introduction to Proofs

Introduces informal proofs and their practical applications in computer science and mathematics, emphasizing the importance of proving theorems through direct and indirect methods.

Differentiating under the integral sign

Explores differentiating under the integral sign and continuity of functions in integrals.

Fourier Transform: Properties and Applications

Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.

Sparsest Cut: Bourgain's Theorem

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Approximation in Sobolev Spaces

Covers the approximation of functions in Sobolev spaces using smooth functions.

Universal Coating: Understanding and Proof

Explores the concept of universal coating through detailed proofs and examples, emphasizing uniqueness and significance.

Theorems in Analysis

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.

Measure Concentration Proof

Explores the proof of measure concentration using Laplace transform methods and demonstrates its application through examples and propositions.