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Mathematical Formulas - Vector Identities

Algebraic Identities

(10.6.1)
(10.6.2)

Identities Involving Differential Operators

(10.6.3)
(10.6.4)
(10.6.5)
(10.6.6)
(10.6.7)
(10.6.8)
(10.6.9)

Divergence Theorem

Given a closed surface

enclosing a contiguous volume

,

where the surface normal

is pointing out of the volume.

Stokes’ Theorem

Given a closed curve

bounding a contiguous surface

,

where the direction of the surface normal

is related to the direction of integration along

by the “right hand rule.”

 

Ellingson, Steven W. (2018) Electromagnetics, Vol. 1. Blacksburg, VA: VT Publishing. https://doi.org/10.21061/electromagnetics-vol-1 CC BY-SA 4.0

 
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