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 island dreams under the dawn
And great boughs drop tranquillity;
The peahens dance on a smooth lawn,
A parrot sways upon a tree,
Raging at his own image in the enamelled sea.”
—William Butler Yeats (1865–1939)