👉 Bergman's theorem, a fundamental result in mathematical physics, states that for any vector field $\mathbf{F}$ and a closed curve $\gamma$ in the plane, the divergence of $\mathbf{F} \cdot \text{curl}\left(\frac{\partial}{\partial x}, \frac{\partial}{\partial y}\right)$ is zero. This theorem is named after Niels Henrik Bergman.
