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Related lectures (30)
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
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Knowledge Representation: Introduction
Covers knowledge representation in AI, logical inference, and applications in various domains.
Symmetry and Group Theory: Exercise Set 4
Explores symmetry operations, isomorphic representations, and three-dimensional group representations.
EPFL School Assembly: Enhancing Community Participation
Covers the significance of the EPFL School Assembly in promoting community engagement and communication among its members.
Complex Numbers: Polar Form
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Showcases examples of complex numbers in polar form and their operations.
Lie Groups and Lorentz Transformations
Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.
EPFL Assembly: Representing the Community
Covers the EPFL Assembly's role in enhancing communication and representation within the EPFL community.
Group Theory: Reducible and Irreducible Representations
Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.
Representation of Groups
Explores the theory of representation of groups and the concept of complete reducibility.
Lie Theorems and Group Algebra
Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.
Geometrical Product Specifications: Datums and Datum Systems
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Explores international standardization, technical drawing rules, and specific representations in mechanical construction.
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Representation Theory: Algebras and Homomorphisms
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Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Kirillov Paradigm for Heisenberg Group
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Explores the Kirillov paradigm for the Heisenberg group and unitary representations.
Mechanical Construction Basics
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Introduces the basics of mechanical construction, focusing on international standards, drawing frameworks, and graphical elements.
Schur's Lemma and Representations
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Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.
Lie Algebras and Representations
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Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.
Machine Learning at the Atomic Scale
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Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.
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