Nabla operator Del 算子/梯度算符

是一个向量微分算子,但本身并非一个向量,作用于不同类型的量,得到的就是不同类型的新量

二维向量微分算子:

\nabla&=\dfrac{\partial }{\partial x}\mathbf{i}+\dfrac{\partial }{\partial y}\mathbf{j}=\left(\dfrac{\partial }{\partial x},\dfrac{\partial }{\partial y} \right) \end{align}$$ 三维向量微分算子: $$\begin{align} \nabla&=\dfrac{\partial }{\partial x}\mathbf{i}+\dfrac{\partial }{\partial y}\mathbf{j}+\dfrac{\partial }{\partial z} \mathbf{k} =\left(\dfrac{\partial }{\partial x},\dfrac{\partial }{\partial y},\dfrac{\partial }{\partial z} \right) \end{align}$$ 多维向量微分算子,以此类推 https://www.bilibili.com/video/BV1c5iyBEEmX/