CSE 1400 Applied Discrete Mathematics Relations and Functions
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چکیده
Problems labeled ! are important and must be mastered. are harder and cover interesting advanced material that is not properly part of this course. are tangential to the course but cover material that is useful elsewhere. Background A (binary) relation is a set of ordered pairs Two important types of relations are equivalences and (partial) orders: • Equivalence relations are – reflexive (∀x)(x ∼ x), – symmetric (∀x, y)(x ∼ y → y ∼ x), and – transitive (∀x, y, z)((x ∼ y) ∧ (y ∼ z) → x ∼ z).
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CSE 1400 Applied Discrete Mathematics Relations
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