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 colicky baby who becomes calm, the quiet infant who throws temper tantrums at two, the wild child at four who becomes serious and studious at six all seem to surprise their parents. It is difficult to let go of one’s image of a child, say goodbye to the child a parent knows, and get accustomed to this slightly new child inhabiting the known child’s body.”
—Ellen Galinsky (20th century)