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Related lectures (25)

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Explores critical phenomena in complex systems, including stochastic objects, percolation, and combinatorial optimization.

Introduces the key concepts of convexity and its applications in different fields.

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.

Explains the target audience, content, and flexibility of participating in a MOOC.

Explores the theory and application of quadrature formulas for numerical analysis.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Delves into the theory of computation, covering decidability, complexity, P vs. NP, and reductions.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

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

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.

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

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