Permutations by Cutting and Shuffling

A Generalization to Q-Dimensions

1974
Written by S. Brent Morris
Work of S. Brent Morris
64 pages (Spiralbound), published by Micky Hades International
No illustrations
Language: English
16 entries
Cover photograph
Creators Title Comments & References Page Categories
S. Brent Morris Abstract - Permutations by Cutting and Shuffling - A Generalization to Q-Dimensions Morris's dissertation, Department of Mathematics, Duke University, 1974
 		iii
S. Brent Morris Acknowledgments
vii
S. Brent Morris Introduction
1
Chapter 1: The Faro Shuffle
4
S. Brent Morris 1. The Ordinary Faro Shuffle mathematical properties
 		4
S. Brent Morris 2. The Generalized Out Faro Shuffle
10
S. Brent Morris 2. The Generalized In-Faro Shuffle
22
S. Brent Morris 4. A Permutation Theorem
27
S. Brent Morris 5. A Number Theoretic Result
31
Chapter 2: Q-Dimensional Decks
38
S. Brent Morris 6. Definitions and Examples
38
S. Brent Morris 7. The Case N = 2
41
S. Brent Morris 8. Decks With All k Equal
49
S. Brent Morris 9. The General Case
55
S. Brent Morris References
63
S. Brent Morris Biography
65
Data entered by Denis Behr, December 2022.