Definition:Constant Mapping

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


 * $$c \in T: f_c: S \to T: \forall x \in S: f_c \left({x}\right) = c$$

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 (see also arity).