Bipolar (Vector Analysis Package Symbol)

Bipolar represents the bipolar coordinate system with default variables Uu, Vv, and Zz and default parameter value 1. Bipolar[u, v, z] represents the bipolar coordinate ...

Bispherical (Vector Analysis Package Symbol)

Bispherical represents the bispherical coordinate system with default variables Uu, Vv, and Pphi and default parameter value 1. Bispherical[u, v, \[Phi]] represents the ...

Cartesian (Vector Analysis Package Symbol)

Cartesian represents the Cartesian coordinate system with default variables Xx, Yy, and Zz.Cartesian[x, y, z] represents the Cartesian coordinate system with variables x, y, ...

DotProduct (Vector Analysis Package Symbol)

DotProduct[v_1, v_2] gives the dot product of the two 3-vectors v_1, v_2 in the default coordinate system. DotProduct[v_1, v_2, coordsys] gives the dot product of v_1 and v_2 ...

Grad (Vector Analysis Package Symbol)

Grad[f] gives the gradient, \[Del]f, of the scalar function f in the default coordinate system. Grad[f, coordsys] gives the gradient of f in the coordinate system coordsys.

JacobianDeterminant (Vector Analysis Package Symbol)

JacobianDeterminant[pt] gives the determinant of the Jacobian matrix of the transformation from the default coordinate system to the Cartesian coordinate system at the point ...

JacobianMatrix (Vector Analysis Package Symbol)

JacobianMatrix[pt] gives the Jacobian matrix of the transformation from the default coordinate system to the Cartesian coordinate system at the point pt. JacobianMatrix[pt, ...

Laplacian (Vector Analysis Package Symbol)

Laplacian[f] gives the Laplacian, \[Del]^2 f, of the scalar function or vector field f in the default coordinate system. Laplacian[f, coordsys] gives the Laplacian of f in ...

ScalarTripleProduct (Vector Analysis Package Symbol)

ScalarTripleProduct[v_1, v_2, v_3] gives the scalar triple product of the three 3-vectors v_1, v_2 and v_3 in the default coordinate system. ScalarTripleProduct[v_1, v_2, ...

ScaleFactors (Vector Analysis Package Symbol)

ScaleFactors[pt] gives a list of the scale factors at the point pt in the default coordinate system. ScaleFactors[pt, coordsys] gives a list of the scale factors in the ...