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How is a function defined using sets?

Updated: 10/19/2022
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Mrkbh

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13y ago

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If f is a relation between the sets S and Twith s Є S, t Є T, and (s, t) Є f, then f is defined as a function from S into T if, and only if, s is f-related to one specific t. If this is the case, t can be expressed as a function of s via the notation t = f(s).

See the related links for the definitions of relation and f-related as well as the definition of the special types of functions called metrics and sequences.

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Q: How is a function defined using sets?
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