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 ...

OblateSpheroidal (Vector Analysis Package Symbol)

OblateSpheroidal represents the oblate spheroidal coordinate system with default variables Xxi, Eeta, and Pphi and default parameter value 1. OblateSpheroidal[\[Xi], \[Eta], ...

ProlateSpheroidal (Vector Analysis Package Symbol)

ProlateSpheroidal represents the prolate spheroidal coordinate system with default variables Xxi, Eeta, and Pphi and default parameter value 1. ProlateSpheroidal[\[Xi], ...

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 ...

Toroidal (Vector Analysis Package Symbol)

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

ExpressionToSymbolicMathML (XML Package Symbol)

ExpressionToSymbolicMathML[expr] converts the Mathematica expression, expr, into a MathML-flavored SymbolicXML structure.