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Lecture
Equivalence Classes
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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.
Equivalence Relations
Covers the concept of equivalence relations and how to determine them.
Isometries and Orthonormal Bases
Discusses isometries and orthonormal bases in mathematics.
Equivalence Classes and Relations
Covers equivalence classes, relations, quotient sets, and functions properties.
Linear Transformations: Matrices and Applications
Explores linear transformations, matrices, and their properties, including surjectivity, injectivity, and symmetry operations.
Understanding Equivalence Relations and Integer Construction
Covers the construction of integers through equivalence relations and their properties in mathematics.
From embedded to general manifolds: Why?
Explores upgrading foundations from embedded to general manifolds in optimization, discussing smooth sets and tangent vectors.
Inertia Tensor: Main Axes and Principal Moments
Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.