inverse image

inverse image

[¦in‚vərs ′im·ij]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
1) A map [ohm] : ([S.sub.1],[[xi].sub.1]) [right arrow] ([S.sub.2],[[xi].sub.2]) is called neutrosophic [[alpha].sup.m]-continuous (briefly N[[alpha].sup.m]-cont) if the inverse image of every N-closed set in ([S.sub.2], [[xi].sub.2]) is N[[alpha].sup.m]-c-set in ([S.sub.1], [[xi].sub.1])
There is a smaller counterpart under the minute hand that accurately depicts an inverse image of the areas of the minute scale on a central miniature scale.
The photoresist resists subsequent chemical treatments, allowing an inverse image of the photomask pattern to be engraved into the silicon.
Then the inverse image of [PSI], [f.sup.-1] ([PSI]) = (M; [f.sup.-1] ([[PSI].sup.+]), [f.sup.-1] ([[PSI].sup.-])), is the bipolar fuzzy set on M given by [f.sup.-1] ([[PSI].sup.+])(m) = [[PSI].sup.+] (f(m)) and [f.sup.-1]([[PSI].sup.-])(m) = [[PSI].sup.-](f(m)) for all m [member of] M.
([f.sup.-1] (G,C), D) is called a soft inverse image of (G,C).
If f is (i, j)-weakly b-continuous then inverse image of every (i, j)-[theta]-closed set of Y is (i, j)-b-closed in X, for all i, j =1, 2.
So, by a standard result ([7], A4.2.1), it is a topos, and the inclusion D/A [right arrow] [epsilon]/A is the inverse image of a connected geometric morphism [p.sub.A].
For a difunction (I; F) : ([S.sub.1]; [T.sub.1])[right arrow]([S.sub.2]; [T.sub.2]) we will have cause to use the inverse image f[left arrow]B and inverse co-image F[right arrow]B, B [member of] T, which are equal; and the image f [right arrow]A and co-image F[left arrow]A, A [member of] S, which are usually not.
The time-domain simulator requires a reflectivity map as input, but the inverse image formation process requires an image as input to be as close as possible to a real system.
(2) For B [member of] T, the inverse image [f.sup.[left arrow]] (B) and the inverse co-image [F.sup.[left arrow]] (B) are defined by
"Reflections fascinate me because they're the inverse of what you're seeing and they give you a double whammy - it's lovely to see a figure silhouetted against a sparkling ocean then to get the inverse image at the same time."

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