##### 旋度 - 旋度 - 旋度是一个向量, 描述一个[[向量场]]在某一点的旋转程度和方向 - $\pmb{F}=F_1(x,y,z)\pmb{i}+F_2(x,y,z)\pmb{j}+F_3(x,y,z)\pmb{k}$ - $\displaystyle\text{curl}\ \pmb{F}=\nabla\times\pmb{F}=\left(\frac{\partial F_3}{\partial y} - \frac{\partial F_2}{\partial z}\right)\pmb{i}+\left(\frac{\partial F_1}{\partial z} - \frac{\partial F_3}{\partial x}\right)\pmb{j}+\left(\frac{\partial F_2}{\partial x} - \frac{\partial F_1}{\partial y}\right)\pmb{k}$ - $\displaystyle\text{curl}\pmb{F}= \begin{vmatrix} \pmb{i} & \pmb{j} & \pmb{k} \\ \frac{\partial}{\partial x} & \frac{\partial}{\partial y} & \frac {\partial}{\partial z} \\ F_1 & F_2 & F_3 \end{vmatrix}$