Applications of Fibonacci numbers: proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer
1990
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXIV, 357 S. graph. Darst. |
| ISBN: | 079230523X |
Internformat
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| 245 | 1 | 0 | |a Applications of Fibonacci numbers |b proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 |c ed. by G. E. Bergum ... |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer |c 1990 | |
| 300 | |a XXIV, 357 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Fibonacci, Suites de - Congrès | |
| 650 | 7 | |a Fibonacci, suite de - Congrès |2 ram | |
| 650 | 4 | |a Fibonacci numbers |v Congresses | |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 700 | 1 | |a Bergum, Gerald E. |e Sonstige |4 oth | |
| 711 | 2 | |a International Conference on Fibonacci Numbers and Their Applications |n 3 |d 1988 |c Pisa |j Sonstige |0 (DE-588)5024504-1 |4 oth | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-002737543 | ||
Datensatz im Suchindex
| _version_ | 1804118588887400448 |
|---|---|
| adam_text | TABLE
OF
CONTENTS
A REPORT ON
THE THIRD
INTERNATIONAL CONFERENCE...
vii
LIST OF CONTRIBUTORS TO THIS PROCEEDINGS
ix
FOREWORD
xv
THE ORGANIZING COMMITTEES
xvii
LIST OF CONTRIBUTORS TO THE CONFERENCE
xix
INTRODUCTION
xxiii
THE ROLE OF THE FIBONACCI SEQUENCE IN THE ISOLATION OF THE REAL ROOTS
OF POLYNOMIAL EQUATIONS
A. G. Akritas
&
P. G. Bradford
..........................................1
A GCD PROPERTY ON PASCALS PYRAMID AND THE CORRESPONDING LCM
PROPERTY OF THE MODIFIED PASCAL PYRAMID
Shiro
Ando
&
Daihachiro Sato
...........................................7
TRANSLATABLE AND ROTATABLE CONFIGURATIONS WHICH GIVE EQUAL
PRODUCT, EQUAL GCD AND EQUAL LCM PROPERTIES SIMULTANEOUSLY
Shiro
Ando S¿
Daihachiro Sato
..........................................15
FIBONACCI LENGTH OF GENERATING PAIRS IN GROUPS
C. M.
Campbell,
H. Doostie
&
E.
F.
Robertson
...............................27
A GENERALIZATION OF FIBONACCI TREES
Renato
M.
Са
počeli
t
................................................37
GENERALIZED FIBONACCI NUMBERS ARE ROUNDED POWERS
Renato
M.
CapocelH
g¿
Paul Cull
........................................57
ON GENERALIZED FIBONACCI NUMBERS OF GRAPHS
Michael Drmota
....................................................63
AN INVESTIGATION OF SEQUENCES DERIVED FROM HOGGATT SUMS AND
HOGGATT TRIANGLES
Daniel
С
Fielder
&
Cecil
O. Alford
.......................................77
REPRESENTATION OF NATURAL NUMBERS AS SUMS OF FIBONACCI NUMBERS: AN
APPLICATION TO MODERN CRYPTOGRAPHY
Piero
Filipponi
&
Emilio
Montolivo
........................................89
A NOTE ON RAMIFICATIONS CONCERNING THE CONSTRUCTION OF PYTHAGOREAN
TRIPLES FROM RECURSIVE SEQUENCES
Herta
T.
Freitag.......... ..... ................. ..... .....101
ON THE REPRESENTATION OF
FkJF„ ,
FJlJ, LkJUh AND
{lł„/F„}
AS
ZECKENDORF
SUMS
Herta
T.
Freitag...................................................107
FUNCTIONAL RECURRENCES
Krystyna
Grytczuk
S¿
Aleksander Grytczuk
................................115
CONCENTRIC CYCLES IN MOSAIC GRAPHS
Heiko Harborth....................................................123
FIBONACCI TRIANGLES
Heiko
Harborth
&
Arnfried Kemnitz
......................................129
MOSAIC NUMBERS OF FIBONACCI TREES
Heiko
Harborth Si
Sabine Lohmann.......................................133
FALLING FACTORIAL POLYNOMIALS OF GENERALIZED FIBONACCI TYPE
A. F. Horadam
....................................................139
TABLE
OF
CONTENTS
SOME
NOTES ON
FIBONACCI BINARY
SEQUENCES
Yasuichi Horibe
....................................................155
CONGRUENCES FOR WEIGHTED AND DEGENERATE STIRLING NUMBERS
F. T.
Howard.....................................................161
AN INVERSE THEOREM
ON FIBONACCI NUMBERS
Naotaka
Imada
....................................................171
SOME RESULTS ON DIVISIBILITY SEQUENCES
Norbert
Jensen
.....................................................181
ON MENTAL CALCULATION OF REPEATING DECIMALS, FINDING FIBONACCI
NUMBERS AND A CONNECTION TO PASCALS TRIANGLE
Marjorie Bicknell-Johnson
.............................................191
DIOPHANTINE REPRESENTATION OF FIBONACCI NUMBERS OVER NATURAL
NUMBERS
James P. Jones
....................................................197
ON PRIME DIVISORS OF THE TERMS OF SECOND ORDER LINEAR RECURRENCE
SEQUENCES
Peter Kiss
.......................................................203
AN ALTERNATING PRODUCT REPRESENTATION FOR REAL NUMBERS
Arnold
Knopfmacher &
John
Knopfmacher..................................209
MAXIMUM LENGTH OF THE EUCLIDEAN ALGORITHM AND CONTINUED FRACTIONS
IN F(X)
Arnold
Knopfmacher &
John
Knopfmacher..................................217
RECURRENCE RELATIONS IN SINUSOIDS AND THEIR APPLICATIONS TO SPECTRAL
ANALYSIS AND TO THE RESOLUTION OF ALGEBRAIC EQUATIONS
Joseph Lahr
......................................................223
A RECURRENCE RELATION FOR GAUSSIAN MULTINOMIAL COEFFICIENTS
S. L
Lee
&
G. M. Phillips
.............................................239
SOME BINOMIAL FIBONACCI IDENTITIES
Calvin T. Long
....................................................241
A SURVEY OF PROPERTIES OF THIRD ORDER PELL DIAGONAL FUNCTIONS
Br. J. M. Mahon
&.
A. F. Horadam
.......................................255
MULTIVARIATE FIBONACCI POLYNOMIALS OF ORDER
К
AND THE
MULTIPARAMETER
NEGATIVE BINOMIAL DISTRIBUTION OF THE SAME ORDER
Andreas
N.
Philippou
&
Demetris L. Antzoulakos
..............................273
LONGEST CIRCULAR RUNS WITH AN APPLICATION IN RELIABILITY VIA THE
FIBONACCI-TYPE POLYNOMIALS OF ORDER
К
Andreas
N.
Philippou
&
Frosso S. Makri
....................................281
FIBONACCI NUMBERS AND AN ALGORITHM OF LEMOINE AND
KÁTAI
Jukka Pihko
......................................................287
GENERALIZATIONS OF SEQUENCES OF LUCAS AND BELL
A. G. Shannon
&
A. F. Horadam
.........................................299
DISTRIBUTION OF RESIDUES OF CERTAIN SECOND-ORDER LINEAR RECURRENCES
MODULO
Ρ
Lawrence Somer
...................................................
ЗП
THE FIBONACCI TREE,
HOFSTADTER
AND THE GOLDEN STRING
Keith Tognetti, Graham Winley
&
Tony van Ravenstein
.........................325
THREE NUMBER TREES
-
THEIR GROWTH RULES AND RELATED NUMBER
PROPERTIES
J. C
Turner
.....................................................335
SUBJECT INDEX
.................................................... 35!
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:12:41Z |
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| isbn | 079230523X |
| language | English |
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| physical | XXIV, 357 S. graph. Darst. |
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| spelling | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 ed. by G. E. Bergum ... Dordrecht u.a. Kluwer 1990 XXIV, 357 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fibonacci, Suites de - Congrès Fibonacci, suite de - Congrès ram Fibonacci numbers Congresses (DE-588)1071861417 Konferenzschrift gnd-content Bergum, Gerald E. Sonstige oth International Conference on Fibonacci Numbers and Their Applications 3 1988 Pisa Sonstige (DE-588)5024504-1 oth Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002737543&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 Fibonacci, Suites de - Congrès Fibonacci, suite de - Congrès ram Fibonacci numbers Congresses |
| subject_GND | (DE-588)1071861417 |
| title | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 |
| title_auth | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 |
| title_exact_search | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 |
| title_full | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 ed. by G. E. Bergum ... |
| title_fullStr | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 ed. by G. E. Bergum ... |
| title_full_unstemmed | Applications of Fibonacci numbers proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 ed. by G. E. Bergum ... |
| title_short | Applications of Fibonacci numbers |
| title_sort | applications of fibonacci numbers proceedings of the third international conference on fibonacci numbers and their applications pisa italy july 25 29 1988 |
| title_sub | proceedings of the third international Conference on Fibonacci Numbers and their Applications, Pisa, Italy, July 25 - 29, 1988 |
| topic | Fibonacci, Suites de - Congrès Fibonacci, suite de - Congrès ram Fibonacci numbers Congresses |
| topic_facet | Fibonacci, Suites de - Congrès Fibonacci, suite de - Congrès Fibonacci numbers Congresses Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002737543&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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