scalar-valued

English

Adjective

scalar-valued (not comparable)

1. (mathematical analysis, of a function on a vector space $V$ over a field $K$) Taking values in $K$; having codomain $K$.

   Consider the set of Riemann-integrable functions on $[a,b]$ as a vector space over $\mathbb {R}$, where addition and scaling is defined pointwise. Then $\int _{a}^{b}$ is a scalar-valued function.