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Related lectures (31)
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Machine Learning at the Atomic Scale
Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.
Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products
Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.
Motivations for Studying Actions: Universal Action of Bijections
Explores the motivations for studying actions through the universal action of bijections.
Applications of Lagrange's Theorem
Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.
Orbital and Fixed Point Functors
Formalizes the construction of orbits and fixed points in group actions, defining morphisms and verifying naturalness.
Group Theory: Part 2
Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Symmetry in Integrals & Matrix Elements
Explores the concept of symmetry in integrals and matrix elements.
Multilinear Forms: Notation & Applications
Covers multilinear forms in n variables over a k-vector space, emphasizing notation and applications.
Postnikov tower + cool stuff
Covers the Postnikov tower, homotopy fibers, suspension, and the James construction.
The Hessian and Newton's method
Covers the Hessian and Newton's method for optimization using iterative processes.
Introduction to Category Theory: Adjunctions (Part 1)
Explores the definition of adjunctions and the relationship between functors.
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