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Englannin sanakirja

preimage englanniksi

1. puhekieltä The set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function. Formally, of a subset B of the codomain Y under a function ƒ, the subset of the domain X defined by

$f^\{-1\}(B)\; =\; \backslash \{x\; \backslash in\; X\; :\; f(x)\; \backslash in\; B\backslash \}.$

For example, the preimage of {4, 9} under the squaring function is the set {−3,−2,+2,+3}.

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