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Related lectures (26)
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Differentiable Ranking and Sorting
Explores differentiable ranking and sorting techniques for machine learning applications.
Vector Spaces and Scalar Products
Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.
Symmetric Group and Cycle Decomposition
Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.
Symmetric Group and Group Actions
Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.
Group Theory Basics
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Kernel Methods: RKHS and Kernels
Explores RKHS, positive definite kernels, and the Moore-Aronszajn theorem in kernel methods.
Finite Fields and Group Theory
Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].
Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products
Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.
Algebra Review: Rings, Fields, and Groups
Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.
Applications of Lagrange's Theorem
Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.