# Divergence

Given a vector field $$\mathbf{f} : \mathbb{R}^n \rightarrow \mathbb{R}^m$$, the divergence operator is defined as $\nabla \cdot \mathbf{f} = (\mathbf{e}_i \partial_i) \cdot (\mathbf{e)_j \mathbf{f}_j) = \frac{\partial \mathbf{f}_i}{\partial x_i}$ Where the above uses the Einstein Summation Convention.

## Thoughts

Created: 2022-03-13 Sun 21:44

Validate