Continuously differentiable vector field
= Continuously differentiable vector field
{title2=$\mathbf F\in C^1(\Omega;\mathbb R^n)$}
A <vector field> on an open subset of Euclidean space whose component <functions> have continuous first <partial derivatives>. Its <Jacobian matrix> is continuous; this is a standard regularity assumption for the <divergence theorem> and <Stokes theorem>.