Equivalence class

Related lectures (29)

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores Lagrange's theorem in commutative groups and the concept of equivalence relations, demonstrating their practical applications.

Explores the classification of states in Markov chains, emphasizing equivalence classes and periodicity.

Covers equivalence classes, decomposition of sets, and constructing quotient sets.

Introduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.

Explains equivalence relations, classes, and partitions in sets.

Explores equivalence relations, reflexivity, equivalence classes, and constructing new sets based on equivalent elements.

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

Covers equivalence classes, relations, quotient sets, and functions properties.

Explores fractional elements, equivalence relations, and injective mappings in commutative rings.

Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Explores category equivalences, adjunctions, and group actions in category theory.

Explores three ways to form quotient spaces using group actions and equivalence relations.

Covers equivalence relations, functions, injectivity, surjectivity, and bijectivity with illustrative examples.

Explains equivalence in linear algebra and set calculations with illustrative examples.

Covers equivalence relations, classes, and partitions of a set.

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