Lecture

Partial Ordering: Relations, Sequences, Summation

Description

This lecture covers the concept of partial orderings, defining a relation on a set as reflexive, antisymmetric, and transitive. It explores examples of partial orderings on integers, divisibility relations, and power sets. The lecture also introduces lattices, which are partially ordered sets with least upper bounds and greatest lower bounds, and discusses lexicographic orderings on Cartesian products.

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