Helmholtz's Theorem
Any Vector Field 
satisfying
 |  |  | (1) |
 | | | (2) |
may be written as the sum of an Irrotational part and a Solenoidalpart,
 | (3) |
, | |  | (4) |
 | |  | (5) |
See also Irrotational Field, Solenoidal Field, Vector Field
References
Arfken, G. ``Helmholtz's Theorem.'' §1.15 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 78-84, 1985. Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, pp. 1084, 1980.
- Toric Variety
- Torispherical Dome
- Torn Square Fractal
- Toroid
- Toroidal Coordinates
- Toroidal Field
- Toroidal Function
- Toroidal Harmonic
- Toroidal Polyhedron
- Toronto Function
- Torricelli Point
- Torsion (Differential Geometry)
- Torsion (Group Theory)
- Torsion Number
- Torsion Tensor
- Torus
- Torus Coloring
- Torus Cutting
- Torus Knot
- Total Angular Defect
- Total Curvature
- Total Differential
- Total Function
- Total Intersection Theorem
- Total Order