By Peter G. Anderson (auth.), Professor Gerald E. Bergum, Professor Andreas N. Philippou, Professor Alwyn F. Horadam (eds.)

ISBN-10: 9400902239

ISBN-13: 9789400902237

ISBN-10: 9401065837

ISBN-13: 9789401065832

This ebook comprises forty three papers shape one of the fifty five papers provided on the 6th overseas convention on Fibonacci Numbers and Their purposes which used to be held at Washington kingdom college, Pullman, Washington, from July 18-22, 1994. those papers were chosen after a cautious evaluation through renowned referees within the box, they usually variety from hassle-free quantity idea to chance and records. The Fibonacci numbers and recurrence family members are their unifying bond. it's expected that this booklet, like its 5 predecessors, could be invaluable to investigate employees and graduate scholars attracted to the Fibonacci numbers and their purposes. October 30, 1995 The Editors Gerald E. Bergum South Dakota country collage Brookings, South Dakota, U.S.A. Alwyn F. Horadam collage of latest England Armidale, N.S.W., Australia Andreas N. Philippou 26 Atlantis road Aglangia, Nicosia Cyprus xxi THE ORGANIZING COMMITTEES neighborhood COMMITTEE overseas COMMITTEE lengthy, Calvin T., Co-Chair Horadam, A.F. (Australia), Co-Chair Webb, William A., Co-Chair Philippou, A.N. (Cyprus), Co-Chair Burke, John Ando, S. (Japan) DeTemple, Duane W.

**Read or Download Applications of Fibonacci Numbers: Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18–22, 1994 PDF**

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**Additional resources for Applications of Fibonacci Numbers: Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18–22, 1994**

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MULTIPLE COLOR VERSION OF THE STAR OF DAVID THEOREMS ... 35 In order to obtain an equivalence relation we require the symmetric property. Definition 2: Two sets A and B are said to be equivalent with respect to GCD (or GCDequivalent) if A covers Band B covers A with respect to GCD. Definition 3: Two sets A and B are said to be equivalent with respect to LCM (or LCMequivalent) if A covers Band B covers A with respect to LCM. Note that these two equivalence relations of sets of binomial coefficients are two unrelated concepts.

41 Theorem 5: The Pullman configuration X m satisfies 2k = 2m multiple color triple equality properties on the modified Pascals triangle, Fibonacci-Pascal triangle, generalized Pascal's triangle and generalized modified Pascal's triangle defined by a strong divisibility sequence Theorem 6: Given a natural number k ~ 2. There exists a k-color configuration which has translatable k-color triple equality on each of Pascals triangle, the modified Pascals triangle, the generalized Pascals triangle and the generalized modified Pascals triangle defined by a strong divisibility sequence.

E. " IEEE Int. ConI. , Vol. 1 (1973): pp. 11-15. [6] Bond, William. RIT Master's Project, 1994. [7] Bryant, Richard. RIT Master's Project, 1994. S. " Cambridge Tracts in Mathematics and Mathematical Physics, No. 45, Cambridge University Press, Cambridge (1957). [9] Knuth, Donald E. The Art Q[ Computer Programming. Vol. it Sorting and Searching. Addison-Wesley, Reading, MA 1975. [10] Eschbach, Reiner. Xerox Corporation, Personal communication, 1993. [11] Faucett, Laurene. Neural Network Architectures.

### Applications of Fibonacci Numbers: Volume 6 Proceedings of ‘The Sixth International Research Conference on Fibonacci Numbers and Their Applications’, Washington State University, Pullman, Washington, U.S.A., July 18–22, 1994 by Peter G. Anderson (auth.), Professor Gerald E. Bergum, Professor Andreas N. Philippou, Professor Alwyn F. Horadam (eds.)

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