Grade

The single grade of a homogeneous multivector $x$; undefined if $x$ mixes grades.

Grade(x)the single grade of a homogeneous multivector $x$; undefined if $x$ mixes grades

Typed signatures

Type	Package	Applies
(number) -> integer	geometric	always

Domain: Geometric algebra

Examples

Basic #

A product of two distinct generators is a grade-2 blade

live ↗

In$\mathrm{Grade}(e_1e_2)$Out$2$

A rotor mixes grades 0 and 2, so it has no single grade and stays unevaluated

live ↗

In$\mathrm{Grade}(1+e_1e_2)$Out$\mathrm{Grade}(e_1e_2+1)$

About

Examples	2

See also: GradePart