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:
“The whole world is an omen and a sign. Why look so wistfully in a corner? Man is the Image of God. Why run after a ghost or a dream? The voice of divination resounds everywhere and runs to waste unheard, unregarded, as the mountains echo with the bleatings of cattle.”
—Ralph Waldo Emerson (1803–1882)