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Lecture
Equivalence Relations
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Related lectures (31)
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Equivalence Relations and Partitions
Discusses equivalence relations, partitions, reflexivity, symmetry, transitivity, and set cardinality.
Equivalence Relations: Classes, Partitions
Explains equivalence relations, classes, and partitions in sets.
Relations and Sequences
Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.
Inertia Tensor: Main Axes and Principal Moments
Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.
Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Isometries and Orthonormal Bases
Discusses isometries and orthonormal bases in mathematics.
Symmetry: Noether Theorem
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Global Conservation Laws
Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Equivalence Classes
Introduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.
Symmetry in Modern Geometry
Delves into modern geometry, covering transformations, isometries, and symmetries.
