# pre-image

## pre-image

[¦prē′im·ij]
(mathematics)
For a point y in the range of a function ƒ, the set of points x in the domain of ƒ for which ƒ(x) = y.
For a subset A of the range of a function ƒ, the set of points x in the domain of ƒ for which ƒ(x) is a member of A. Also known as inverse image.
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References in periodicals archive ?
We will use the Gaussian pre-image sampling algorithm SampleD(A, T, u, s) which is as follows:
the equation p(x) = [n.sub.i] is set out and resolved with the objective of obtaining the value of the corresponding pre-image x.
These boards could imply a kind of pre-image used to set a press; however, if considered within the logic of digital media, their block and checkerboard forms echo the loading placeholder frames found when news feeds are checked frantically during a time of crisis.
If A = ([A.sub.T,I,F], [[lambda].sub.T,I,F]) is a neutrosophic cubic subalgebra of Y, then the pre-image [f.sup.-1](A)={<x, [f.sup.-1] ([A.sub.T,I,F]), [f.sup.-1] ([[lambda].sub.T,I,F])} | x [member of] X} of A under f is a neutrosophic cubic subalgebra of X.
If the machine is complete, the same happens with the pre-image of [delta].
If [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a pre-image of w, then [delta](p, [beta]) = (q', [alpha]', 0), which is impossible because [alpha]' [member of] [D.sub.0](q).
If V is an Q-anti fuzzy left h-ideal of [R.sub.2] and [mu] is the pre-image of V under f then [mu] is an Q-anti fuzzy left h-ideal of [R.sub.1].
Let [rho] = [[sigma].sup.-1], where [sigma] : [K.sup.*] [right arrow] [K.sup.*], and let [F.sup.[rho]] denote the pre-image of the element F [member of] [K.sup.*] with respect to [sigma], i.e [F.sup.[rho]] := [rho](F).
Measure an angle of the image (the dilated polygon) and the corresponding angle on the pre-image (the original polygon).
Pre-image resistance: Given the message digest y=h(M), it is computationally infeasible to derive the message M from y.
Swift Newspapers' Colorado Mountain News Media installed two FasTrak frequency-doubled YAG-laser imagers, each able to generate up to 100 aluminum-backed photopolymer plates per hour and each configured with Trakmate for automatic plate loading, slipsheet removal, and pre-image registration.
Similarly, Paul Rixon's chapter on the show's critical reception in the United Kingdom moves the discussion onto the paratexts that surround a series, arguing persuasively for the importance of such 'pre-images' (p.

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