wedge: Wedge products

In stokes: The Exterior Calculus

Wedge products

Description

Wedge products of k-forms

Usage

wedge2(K1,K2)
wedge(x, ...)

Arguments

K1, K2, x, ...

k-forms

Details

Wedge product of k-forms.

Value

The functions documented here return an object of class kform.

Note

In general use, use wedge() or ^ or %^%, as documented under Ops. Function wedge() uses low-level helper function wedge2(), which takes only two arguments.

A short vignette is provided with the package: type vignette("wedge") at the commandline.

Author(s)

Robin K. S. Hankin

See Also

Ops

Examples

k1 <- as.kform(cbind(1:5,2:6),1:5)
k2 <- as.kform(cbind(5:7,6:8,7:9),1:3)
k3 <- kform_general(1:6,2)

a1 <- wedge2(k1,wedge2(k2,k3))
a2 <- wedge2(wedge2(k1,k2),k3)

is.zero(a1-a2)  # NB terms of a1, a2 in a different order!

# This is why wedge(k1,k2,k3) is well-defined.  Can also use ^:
k1 ^ k2 ^ k3

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