Image
From Online Dictionary of Crystallography
Revision as of 17:11, 14 November 2017 by BrianMcMahon (talk | contribs) (Tidied translations and added German and Spanish (U. Mueller))
Revision as of 17:11, 14 November 2017 by BrianMcMahon (talk | contribs) (Tidied translations and added German and Spanish (U. Mueller))
صورة (Ar). Image (Fr). Abbildung (Ge). Immagine (It). 像 (Ja). Imagen (Sp).
Let X and Y be sets, f be the function f : X → Y, and x be some member of X. Then the image of x under f, denoted f(x), is the unique member y of Y that f associates with x.
The image of a subset A ⊆ X under f is the subset of Y defined by
f[A] = {y ∈ Y | y = f(x) for some x ∈ A}.