compute the vector potential
vecpotent(f, var, 'V')
vector function of length three
list of three variables
name in which the vector potential is returned
Important: The linalg package has been deprecated. Use the superseding command VectorCalculus[VectorPotential], instead.
- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.
The function vecpotent determines whether a given vector function has a vector potential, and determines that vector potential if it exists.
The function returns true if the function f has a vector potential, and false if it does not. The vector potential exists if and only if the divergence of f is zero.
If a vector potential for f exists, it will be assigned to the name given in the third argument V. If vecpotent returns true, then V will be assigned a vector function such that curl V = f.
The command with(linalg,vecpotent) allows the use of the abbreviated form of this command.
f ≔ x2⁢y,−1⁢x⁢y22,−x⁢y⁢z
f ≔ x2⁢y,−12⁢x⁢y2,−x⁢y⁢z
g ≔ x2,y2,z2
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