Symbols:Nabla/Del

From ProofWiki
Jump to navigation Jump to search

Del Operator

$\nabla$


Let $\mathbf V$ be a vector space of $n$ dimensions.


Let $\tuple {\mathbf e_1, \mathbf e_2, \ldots, \mathbf e_n}$ be the standard ordered basis of $\mathbf V$.


The del operator is a unary operator on $\mathbf V$ defined as:

$\nabla := \displaystyle \sum_{k \mathop = 1}^n \mathbf e_k \dfrac \partial {\partial x_k}$

where $\mathbf v = \displaystyle \sum_{k \mathop = 0}^n x_k \mathbf e_k$ is an arbitrary vector of $\mathbf V$.


The $\LaTeX$ code for \(\nabla\) is \nabla .


Sources