dx: Elementary forms in three-dimensional space

In stokes: The Exterior Calculus

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)

Details

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

Author(s)

Robin K. S. Hankin

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

stokes documentation built on June 22, 2024, 11:56 a.m.