Word Pronunciation & Dictionary

preimage

Word Rarity Very rare

Frequency: Zipf frequency 1.25 in modern English

Syllables: preim-age
IPA

13

Scrabble Score

8

Letters

2

Syllables

7

Unique Chars

Meaning

noun

For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ⁻¹(B) = {x ∈ X : ƒ(x) ∈ B}.

Example Sentences

"The preimage of #92;#123;4,9#92;#125; under the function f#58;#92;R#92;rightarrow#92;R#58;f(x)#61;x² is the set #92;#123;-3,-2,#43;2,#43;3#92;#125;."
"1967 [Academic Press], Francois Treves, Topological Vector Spaces, Distributions and Kernels, 2006, Dover, page 22, The preimage of a neighborhood U of 0 in E must be a neighborhood of (0,x), since (0,x) is mapped into 0."
"Previously, maps and hypermaps were constructed as the preimages of a segment joining two of the three critical values."
"Loosely speaking, saying that a function f is one-way implies that given y (in the range of f) it is infeasible to find a preimage of y under f."

Etymology

Etymology tree Proto-Indo-European *per- Proto-Indo-European *preh₂- Proto-Indo-European *-i Proto-Indo-European *préh₂i? Proto-Italic *prai Proto-Italic *prai- Latin prae-lbor. Middle English pre- English pre- English image English preimage From pre- + image.

Inflected Forms

preimages (plural)

Phrases

preimage attack

Frequently Paired Words

image

Synonyms

inverse image

Rhymes With

image

Questions

What does preimage mean?: For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ⁻¹(B) = {x ∈ X : ƒ(x) ∈ B}.
Where does preimage come from?: Etymology tree Proto-Indo-European *per- Proto-Indo-European *preh₂- Proto-Indo-European *-i Proto-Indo-European *préh₂i? Proto-Italic *prai Proto-Italic *prai- Latin prae-lbor. Middle English pre- English pre- English image English preimage From pre- + image.

How to pronounce preimage

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