Definition:Constant Mapping

Definitions
A constant mapping or constant function is a mapping $f_c: S \to T$ defined as:


 * $c \in T: f_c: S \to T: \forall x \in S: \map {f_c} x = c$

That is, every element of $S$ is mapped to the same element $c$ in $T$.

In a certain sense, a constant mapping can be considered as a mapping which takes no arguments.

Also known as
A constant mapping is of course also known as a constant function.

Also see

 * Definition:Operation/Arity/Zero


 * Definition:Constant Operation