Bifalgorithm post · Brisk · Chapter 1

How is membership in a relation written?

How is membership in a relation written? (Brisk · Chapter 1) — "I find the notation for expressing relations somewhat awkward. But here it is. When we defined…

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  • Notation for expressing relations
  • The notation can seem somewhat awkward.
  • In relation S, the ordered pair (Harry, Dr. Pepper) belongs to S.
  • This fact can be written explicitly as (Harry, Dr. Pepper) ∈ S.
  • Mathematicians more often write Harry S Dr. Pepper.
  • This is pronounced “Harry is S-related-to Dr. Pepper.”
  • Non-membership in S can be emphasized by striking through the relation notation.
  • The example is that (Harry, Mt. Dew) is not in S, written as Harry S Mt. Dew with the notation struck through.
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How is membership in a relation written?

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Brisk

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"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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