allcliff

The Clifford algebra on basis vectors \(e_1,e_2,\ldots,
 e_n\) has \(2^n\) independent multivectors. Function
 <code>allcliff()</code> generates a clifford object with a nonzero
 coefficient for each multivector.

A suite of routines for Clifford algebras, using the
'Map' class of the Standard Template Library.  Canonical
reference: Hestenes (1987, ISBN 90-277-1673-0, "Clifford algebra
to geometric calculus").  Special cases including Lorentz transforms,
quaternion multiplication, and Grassman algebra, are discussed.
Conformal geometric algebra theory is implemented.  Uses 'disordR'
discipline.

Robin K S Hankin

clifford

Arbitrary Dimensional Clifford Algebras

allcliff function

<dl> <dt>n</dt>
<dd>Integer specifying dimension of underlying vector space</dd> <dt>grade</dt>
<dd>Grade of multivector to be returned. If missing,
 multivector contains every term of every grade \(\leq n\)</dd></dl>

Arguments

Author

Clifford object containing all possible terms — allcliff

<dl>

 <dt>n</dt>
<dd>Integer specifying dimension of underlying vector space</dd>

 <dt>grade</dt>
<dd>Grade of multivector to be returned. If missing,
 multivector contains every term of every grade \(\leq n\)</dd>

</dl>

allcliff: Clifford object containing all possible terms

Description

Usage

Arguments

Author

Examples