Example · High school

Terms

TermThis exampleWhy
function ✓ $f \mapsto f^{\prime}$ is a function, because it assigns one function to each differentiable function.
operator ✓ $f \mapsto f^{\prime}$ is an operator, because it takes a function and returns a function.
functional ✗ $f \mapsto f^{\prime}$, on differentiable functions, is not a functional, because its outputs are functions, not numbers.

All examples · All distinctions · All definitions