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Related lectures (25)

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Introduces the basics of group theory, defining groups, categories, and groupoids.

Discusses the minimization of the Hartree-Fock functional for N fermions and the variational principle in quantum physics.

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Explores the theory of computability, decision problems, complexity classes, and the 'P vs. NP' conundrum.

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.