Binary Relations & Their Properties

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This lecture will delve into the concept of binary relations, which are defined as subsets of the Cartesian product of a set with itself. We'll start by exploring the Cartesian product before examining the fundamental properties of relations, such as reflexivity, symmetry, and transitivity. We'll discuss complements and inverse relations, providing concrete examples for better comprehension. Additionally, we'll cover composite relations and their calculations. Various representation methods,...