nablaoperatøren
The nabla operator, often denoted by the symbol $\nabla$, is a differential operator that appears in vector calculus. It is a vector of partial derivative operators. In Cartesian coordinates in three dimensions, it is defined as:
$\nabla = \frac{\partial}{\partial x}\mathbf{i} + \frac{\partial}{\partial y}\mathbf{j} + \frac{\partial}{\partial z}\mathbf{k}$
where $\mathbf{i}$, $\mathbf{j}$, and $\mathbf{k}$ are the unit vectors along the x, y, and z axes, respectively.
The nabla operator is used to define three fundamental vector calculus operations: the gradient, the divergence,
The divergence of a vector field $\mathbf{F} = F_x\mathbf{i} + F_y\mathbf{j} + F_z\mathbf{k}$ is a scalar field given by
The curl of a vector field $\mathbf{F}$ is a vector field given by $\nabla \times \mathbf{F}$. It
The nabla operator can also be used in combination with itself, as in the Laplacian operator, which