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Factoring Blades and Versors in Euclidean Clifford Algebras
by Wylie, Dave, M.S., Southern Illinois University at Edwardsville, 2014, 67; 1564083
Abstract (Summary)
This thesis examines different methods of factoring elements of Clifford Algebras, specifically, Cℓn,0. Blades are factored using Fontijne's algorithm and other techniques. Versors are factored using Perwass's algorithm. Writing an element as a sum of blades, which are then factored, can make it more efficient to store or transmit that element. To evaluate the usefulness of expressing a given element of Cℓ n,0 this way, the number of scalars required to express that element is compared between factored and expanded forms.
| Advisor: | Staples, G. Stacey |
| Commitee: | Parish, James, Weyhaupt, Adam |
| School: | Southern Illinois University at Edwardsville |
| Department: | Mathematics and Statistics |
| School Location: | United States -- Illinois |
| Source: | MAI 53/05M(E), Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Mathematics |
| Keywords: | Clifford algebras |
| Publication Number: | 1564083 |
| ISBN: | 978-1-321-14759-9 |
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