Concept

How is membership in a relation written?

Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1

"I find the notation for expressing relations somewhat awkward. But here it is. When we defined the relation S above, we had the ordered pair (Harry, Dr. Pepper) in it. To explicitly state this fact, we could simply say (Harry, Dr. Pepper) ∈ S and in fact we can do so. More often, though, mathematicians write: Harry S Dr. Pepper, which is pronounced “Harry is S-related-to Dr. Pepper.” Told you it was awkward. If we want to draw attention to the fact that (Harry, Mt. Dew) is not in the relation S, we could strike it through to write Harry S Mt. Dew."

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How is membership in a relation written? | Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk | Bifalgorithm | Bifalgorithm