Divergence Theorem
A.k.a. Gauss's Theorem. Let 
be a region in space with boundary 
. Then
 | (1) |
be a region in the plane with boundary 
. | (2) |
satisfies certain constraints, simplified forms can be used. If 
where 
is a constant vector 
, then | (3) |
 | (4) |
 | (5) |
 | (6) |
, and 
must vary with 
so that cannotalways equal zero. Therefore, | (7) |
, where is a constant vector , then | (8) |
References
Arfken, G. ``Gauss's Theorem.'' §1.11 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 57-61, 1985.
- Gyrobicupola
- Gyrobifastigium
- Gyrobirotunda
- Gyrocupolarotunda
- Gyroelongated Cupola
- Gyroelongated Dipyramid
- Gyroelongated Pentagonal Bicupola
- Gyroelongated Pentagonal Birotunda
- Gyroelongated Pentagonal Cupola
- Gyroelongated Pentagonal Cupolarotunda
- Gyroelongated Pentagonal Pyramid
- Gyroelongated Pentagonal Rotunda
- Gyroelongated Pyramid
- Gyroelongated Rotunda
- Gyroelongated Square Bicupola
- Gyroelongated Square Cupola
- Gyroelongated Square Dipyramid
- Gyroelongated Square Pyramid
- Gyroelongated Triangular Bicupola
- Gyroelongated Triangular Cupola
- Gårding's Inequality
- Göbel's Sequence
- Gödel Number
- Gödel's Completeness Theorem
- Gödel's Incompleteness Theorem