inverse image

inverse image

[¦in‚vərs ′im·ij]
(mathematics)
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.
Steven Aschheim concluded his 1982 study by saying that more work needs to be done on the "inverse image" of the German Jew in Eastern Europe.
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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