scalar-valued

scalar-valued (not comparable)

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

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