Vector Analysis Package (Vector Analysis Package Guide)

Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to ...

ArcLengthFactor (Vector Analysis Package Symbol)

ArcLengthFactor[{f_1, f_2, f_3}, t] gives the derivative of the arc length of the curve described by the parametrized curve coordinates {f_1, f_2, f_3} with respect to the ...

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, ...

ConfocalEllipsoidal (Vector Analysis Package Symbol)

ConfocalEllipsoidal represents the confocal ellipsoidal coordinate system with default variables Llambda, Mmu, and Nnu and default parameter values 3, 2, and 1. ...

ConfocalParaboloidal (Vector Analysis Package Symbol)

ConfocalParaboloidal represents the confocal paraboloidal coordinate system with default variables Llambda, Mmu, and Nnu and default parameter values 2 and 1. ...

Conical (Vector Analysis Package Symbol)

Conical represents the conical coordinate system with default variables Llambda, Mmu, and Nnu and default parameter values 1 and 2. Conical[\[Lambda], \[Mu], \[Nu]] ...

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 ...

EllipticCylindrical (Vector Analysis Package Symbol)

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