Total Function
Total function is a synonym for function. The use of the prefix "total" is to suggest that it is a special case of a partial function. For example, when considering the operation of morphism composition in Concrete Categories, the composition operation is a total function if and only if has one element. The reason for this is that two morphisms and can only be composed as if, that is, the codomain of must equal the domain of .
Read more about this topic: Partial Function
Famous quotes containing the words total and/or function:
“only total expression
expresses hiding: I’ll have to say everything
to take on the roundness and withdrawal of the deep dark:
less than total is a bucketful of radiant toys.”
—Archie Randolph Ammons (b. 1926)
“For me being a poet is a job rather than an activity. I feel I have a function in society, neither more nor less meaningful than any other simple job. I feel it is part of my work to make poetry more accessible to people who have had their rights withdrawn from them.”
—Jeni Couzyn (b. 1942)