Category:Definitions/Del Operator
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This category contains definitions related to the $\nabla$ operator.
Related results can be found in Category:Del Operator.
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:
- $\nabla := \ds \sum_{k \mathop = 1}^n \mathbf e_k \dfrac \partial {\partial x_k}$
where $\mathbf v = \ds \sum_{k \mathop = 0}^n x_k \mathbf e_k$ is an arbitrary vector of $\mathbf V$.
Subcategories
This category has only the following subcategory.
G
Pages in category "Definitions/Del Operator"
The following 6 pages are in this category, out of 6 total.