even: Even and odd clifford objects

In clifford: Arbitrary Dimensional Clifford Algebras

Even and odd clifford objects

Description

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(s)

Robin K. S. Hankin

See Also

grade

Examples

A <- rcliff()
A == evenpart(A) + oddpart(A) # should be true

clifford documentation built on June 8, 2025, 10:56 a.m.