About: Del operator

Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Del operator Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

The del operator (∇) is an operator commonly used in vector calculus to find derivatives in higher dimensions. When applied to a function of one independent variable, it yields the derivative. For multidimensional scalar functions, it yields the gradient. If either dotted or crossed with a vector field, it produces divergence or curl, respectively, which are the vector equivalents of differentiation. There are six ways del can be used to compute second derivatives of multivariable functions.

Attributes	Values
rdfs:label	Del operator
rdfs:comment	The del operator (∇) is an operator commonly used in vector calculus to find derivatives in higher dimensions. When applied to a function of one independent variable, it yields the derivative. For multidimensional scalar functions, it yields the gradient. If either dotted or crossed with a vector field, it produces divergence or curl, respectively, which are the vector equivalents of differentiation. There are six ways del can be used to compute second derivatives of multivariable functions.
dcterms:subject	Vector calculus
dbkwik:math/proper...iPageUsesTemplate	dbkwik:resource/FAfK2YZPBxhnpO868HCjhg==
abstract	The del operator (∇) is an operator commonly used in vector calculus to find derivatives in higher dimensions. When applied to a function of one independent variable, it yields the derivative. For multidimensional scalar functions, it yields the gradient. If either dotted or crossed with a vector field, it produces divergence or curl, respectively, which are the vector equivalents of differentiation. There are six ways del can be used to compute second derivatives of multivariable functions. * The divergence of the gradient, also know as the Laplacian * The vector Laplacian, equal to the Laplacian of each component of the vector * The curl of the gradient, always equal to 0 (see irrotational vector field) * The gradient of the divergence * The divergence of curl, always equal to 0 (see incompressible vector field) * The curl of the curl File:Helicoid.svg This multivariable calculus-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.

OpenLink Virtuoso version 07.20.3217, on Linux (x86_64-pc-linux-gnu), Standard Edition
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2012 OpenLink Software