Even and odd clifford objects

A clifford object is even if every term has even grade, and odd if every term has odd grade.

Functions is.even() and is.odd() test a clifford object for evenness or oddness.

Functions evenpart() and oddpart() extract the even or odd terms from a clifford object, and we write \(A_+\) and \(A_-\) respectively; we have \(A=A_+ + A_-\)

Usage

is.even(C)
is.odd(C)
evenpart(C)
oddpart(C)

Arguments

C

Clifford object

Author

Robin K. S. Hankin

See also

grade

Examples

A <- rcliff()
A == evenpart(A) + oddpart(A) # should be true
#> [1] TRUE