Image (mathematics)

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:

    As every pool reflects the image of the sun, so every thought and thing restores us an image and creature of the supreme Good. The universe is perforated by a million channels for his activity. All things mount and mount.
    Ralph Waldo Emerson (1803–1882)