Equivalence Relations and Partial Orderings

Related lectures (26)

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Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.

Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.

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

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

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

Covers the Hadamard factorisation theorem for entire functions of order at most 1.

Covers the construction of integers through equivalence relations and their properties in mathematics.

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

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