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2019-12-18
Mathematics

Meaning of A^B Where A and B Are Sets

It means the set of maps from BBB to AAA:

AB={functions from B to A}A^B = \{ \text{functions from } B \text{ to } A \} AB={functions from B to A}

Rerferences

  • https://math.stackexchange.com/questions/3480579/meaning-of-ab-where-a-and-b-are-sets
  • https://en.wikipedia.org/wiki/Power_set#Representing_subsets_as_functions
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