Bifalgorithm post · Brisk · Chapter 1

Is H antisymmetric?

Is H antisymmetric? (Brisk · Chapter 1) — "H is an endorelation on T, defined as follows: { (Kirk, Kirk), (Spock, Spock), (Uhura, Scotty), (Scotty, Uhura), (Sp…

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  • H is an endorelation on T.
  • H is defined by the listed ordered pairs.
  • H contains the self-related pairs (Kirk, Kirk), (Spock, Spock), (Scotty, Scotty), and (Uhura, Uhura).
  • H contains the reciprocal pair (Uhura, Scotty) and (Scotty, Uhura).
  • H also contains the reciprocal pair (Spock, McCoy) and (McCoy, Spock).
  • H is not antisymmetric.
  • The antisymmetry violation follows from containing both (Uhura, Scotty) and (Scotty, Uhura).
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Is H antisymmetric?

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"H is an endorelation on T, defined as follows: { (Kirk, Kirk), (Spock, Spock), (Uhura, Scotty), (Scotty, Uhura), (Spock, McCoy), (McCoy, Spock), (Scotty, Scotty), (Uhura, Uhura) }. H is not antisymmetric because it contains (Uhura, Scotty) and also (Scotty, Uhura)."

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