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Related lectures (51)

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Showcases examples of complex numbers in polar form and their operations.

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Covers knowledge representation in AI, logical inference, and applications in various domains.

Covers the significance of the EPFL School Assembly in promoting community engagement and communication among its members.

Explores the theory of representation of groups and the concept of complete reducibility.

Covers the concept of eigenfunctions of H as bases for irreducible representations and integrals.

Covers the EPFL Assembly's role in enhancing communication and representation within the EPFL community.

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Explores international standardization, technical drawing rules, and specific representations in mechanical construction.

Introduces the basics of mechanical construction, focusing on international standards, drawing frameworks, and graphical elements.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

Explores Carathéodory's Theorem and its dimension implications for set representation.

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