FirstIntegral[u] represents a first integral associated with the variable u in the output of the function FirstIntegrals.

CoordinateRanges[] gives the intervals over which each of the coordinates in the default coordinate system may range. CoordinateRanges[coordsys] gives the ranges for each of ...

CoordinatesFromCartesian[pt] gives the coordinates in the default coordinate system of the point pt given in Cartesian coordinates. CoordinatesFromCartesian[pt, coordsys] ...

Coordinates[] gives a list of the default coordinate variables in the default coordinate system. Coordinates[coordsys] gives a list of the default coordinate variables in the ...

CoordinatesToCartesian[pt] gives the Cartesian coordinates of the point pt given in the default coordinate system. CoordinatesToCartesian[pt, coordsys] gives the Cartesian ...

CoordinateSystem gives the name of the default coordinate system.

CrossProduct[v_1, v_2] gives the cross product of the two 3-vectors v_1, v_2 in the default coordinate system. CrossProduct[v_1, v_2, coordsys] gives the cross product of v_1 ...

Curl[f] gives the curl, \[Del]*f, of the vector field f in the default coordinate system. Curl[f, coordsys] gives the curl of f in the coordinate system coordsys.

Cylindrical represents the cylindrical coordinate system with default variables Rr, Ttheta, and Zz.Cylindrical[r, \[Theta], z] represents the cylindrical coordinate system ...

Div[f] gives the divergence, \[Del]\[CenterDot]f, of the vector field f in the default coordinate system. Div[f, coordsys] gives the divergence of f in the coordinate system ...