Equivalence Relations and Partitions

Related lectures (30)

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Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Explores linear transformations, matrices, and their properties, including surjectivity, injectivity, and symmetry operations.

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Covers the fundamental concepts of symmetry and group theory.

Covers homotopies, fundamental group, and equivalence relations in applications.

Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.

Introduces turbulence and symmetry in fluid dynamics, exploring the effects of Reynolds number on flow patterns.