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Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Distributions and Derivatives
Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Sparsest Cut: Bourgain's Theorem
Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Multivariate Statistics: Normal Distribution
Covers the multivariate normal distribution, properties, and sampling methods.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Multivariate Statistics: Wishart and Hotelling T²
Explores the Wishart distribution, properties of Wishart matrices, and the Hotelling T² distribution, including the two-sample Hotelling T² statistic.
Generalization Error
Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.
