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
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