dot-class {clifford}R Documentation

Class “dot”

Description

The dot object is defined so that idiom like .[x,y] returns the commutator, that is, (x*y-y*x)/2. The factor of 2 ensures that .[x,y] == x %X% y.

The dot object is generated by running script inst/dot.Rmd, which includes some further discussion and technical documentation, and creates file dot.rda which resides in the data/ directory.

Arguments

x

Object of any class

i, j

elements to commute

...

Further arguments to dot_error(), currently ignored

Value

Always returns an object of the same class as xy.

Author(s)

Robin K. S. Hankin

Examples

x <- rcliff()
y <- rcliff()
z <- rcliff()

.[x,.[y,z]] + .[y,.[z,x]] + .[z,.[x,y]]  # Jacobi identity



[Package clifford version 1.1-1 Index]