Transitive relation

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Related lectures (23)

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Relations: Definitions and Properties

Explains binary relations, reflexive, symmetric, antisymmetric, and transitive relations on a set.

Relations: Reflexive, Symmetric, Antisymmetric, Transitive

Explains binary relations on a set and their properties with illustrative examples.

Sets and Functions

Introduces binary relations, functions, and various types of relations in sets.

Force-extension relation of a polymer

Explores the force-extension relation of polymers through experiments and models.

Binary Relations and Cartesian Products

Explores binary relations, Cartesian products, and applications between sets, emphasizing their properties and significance.

Möbius inversion: posets

Covers the Möbius inversion for posets, defining partially ordered sets and explaining the incidence algebra.

Equivalence Relations and Partitions

Discusses equivalence relations, partitions, reflexivity, symmetry, transitivity, and set cardinality.

Logical Expressions and Equivalence Relations

Covers logical expressions, sets, elements, and equivalence relations.

Relations and Sequences

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Equivalence Relations: Classes, Partitions

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