stokes (version 1.2-0)

dx: Elementary forms in three-dimensional space

Description

Objects dx, dy and dz are the three elementary one-forms on three-dimensional space. These objects can be generated by running script vignettes/dx.Rmd, which includes some further discussion and technical documentation and creates file dx.rda which resides in the data/ directory.

The default print method is a little opaque for these objects. To print them more intuitively, use

options(kform_symbolic_print = "dx")

which is documented at print.Rd.

Usage

data(dx)

Author

Robin K. S. Hankin

Details

See vignettes dx and exeyez for an extended discussion; a use-case is given in vector_cross_product.

References

• M. Spivak 1971. Calculus on manifolds, Addison-Wesley

See Also

d,print.kform

Examples

dx
hodge(dx)
hodge(dx,3)


dx  # default print method, not particularly intelligible
options(kform_symbolic_print = 'dx')  # shows dx dy dz
dx
dx^dz
hodge(dx,3)

as.function(dx)(ex)


options(kform_symbolic_print = NULL)  # revert to default