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:
“Thou shalt not, it is said, make unto thee any graven image of God. The same commandment should apply when God is taken to mean the living part of every human being, the part that cannot be grasped. It is a sin that, however much it is committed against us, we almost continually commit ourselves—Except when we love.”
—Max Frisch (1911–1991)