\begin{definition}[Definition:Covariant Tensor]
Let $F$ be a tensor of type $\tuple {k, 0}$:
:$\ds F : \underbrace{V \times \ldots \times V}_{\text{$k$ times}} \to \R$
Then $F$ is called a '''covariant $k$-tensor (on $V$)'''.
\end{definition}