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Related lectures (31)

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Concept of Proof in Mathematics

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

Choice Models: Logit Model Derivation

Covers the derivation of the logit model for choice with multiple alternatives and the challenges in generating choice sets.

Mathematical Recursion: Induction and Recursion

Covers the principle of mathematical induction for proving propositions true for all positive integers.

More Results on Inf/Sup, Density of Q in R

Covers inf/sup, integral part of real numbers, and density of rational numbers.

Euclidean Norm: Properties and Special Cases

Explores the Euclidean norm properties, special cases, and applications of the Cauchy-Schwarz inequality.

Philosophy of Mathematics: Ontology and Structures

Explores the existence of mathematical objects, truth of propositions, and knowledge about them, covering Platonism, Intuitionism, Structuralism, Nominalism, Logicism, and Formalism.

Matroids: Matroid Intersection

Covers the concept of matroids, focusing on matroid intersection and the properties of subsets of a ground set.

Mechanical Construction I: Assembly Solutions

Discusses static assembly solutions in mechanical construction, emphasizing obstacle-based connections over static friction.

Lebesgue Integration: Cantor Set

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.

Signal Representations

Covers signal representations using concepts such as Haar wavelets and FIR filters.