Concept
What are examples of different relations on the same two sets?
Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1
"We can of course define other relations on the same two sets. Let’s define a relation “likes” to contain { (Harry, Dr. Pepper), (Ron, Dr. Pepper), (Hermione, Dr. Pepper), (Hermione, Mt. Dew) }. This states that while everybody likes Dr. Pepper, Hermione herself has broad tastes and also likes Mt. Dew. Another relation, “hasFaveDrink,” might indicate which drink is each person’s favorite. Maybe the extension is { (Harry, Dr. Pepper), (Ron, Dr. Pepper) }. There’s no ordered pair with Hermione in it, perhaps because she actually prefers iced tea. Yet another relation, “ownsStockIn,” represents which people own stock in which beverage companies. In this case, ownsStockIn = ∅ since all of the members of X are too busy studying potions to be stock owners in anything."
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