clifford (version 1.0-8)

magnitude: Magnitude of a clifford object

Description

Following Perwass, the magnitude of a multivector is defined as

||A|| = A Aomitted; see PDF

Where A A? denotes the Euclidean scalar product eucprod(). Recall that the Euclidean scalar product is never negative (the function body is sqrt(abs(eucprod(z))); the abs() is needed to avoid numerical roundoff errors in eucprod() giving a negative value).

Usage

# S3 method for clifford
Mod(z)

Arguments

z

Clifford objects

Author

Robin K. S. Hankin

See Also

Ops.clifford, Conj, rcliff

Examples

Mod(rcliff())


# Perwass, p68, asserts that if A is a k-blade, then (in his notation)
# AA == A*A.

# In package idiom, A*A == A %star% A:

A <- rcliff()          
Mod(A*A - A %star% A)  # meh

A <- rblade()
Mod(A*A - A %star% A)  # should be small