Image (mathematics)
In mathematics, an image is the subset of a function's codomain which is the output of the function on a subset of its domain. Precisely, evaluating the function at each element of a subset X of the domain produces a set called the image of X under or through the function. The inverse image or preimage of a particular subset S of the codomain of a function is the set of all elements of the domain that map to the members of S.
Image and inverse image may also be defined for general binary relations, not just functions.
Read more about Image (mathematics): Definition, Inverse Image, Notation For Image and Inverse Image, Examples, Consequences
Famous quotes containing the word image:
“You say your own soul supplies you with some sort of an idea or image of God. But at the same time you acknowledge you have, properly speaking, no idea of your own soul. You even affirm that spirits are a sort of beings altogether different from ideas. Consequently that no idea can be like a spirit. We have therefore no idea of any spirit.”
—George Berkeley (1685–1753)