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DOI
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Affiliation
ISSN
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Sums of Squares of Fibonacci Numbers with Prime Indices
(Articles)
A. Gnanam
,
B. Anitha
Journal of Applied Mathematics and Physics
Vol.3 No.12
,December 18, 2015
DOI:
10.4236/jamp.2015.312186
3,487
Downloads
4,677
Views
Citations
Finding the Fibonacci Spiral Patterns in Atmospheric Equatorial Waves
(Articles)
Ranis Ibragimov
,
Eleanor Blake
Journal of Applied Mathematics and Physics
Vol.10 No.12
,December 29, 2022
DOI:
10.4236/jamp.2022.1012250
78
Downloads
913
Views
Citations
Non Degeneration of Fibonacci Series, Pascal’s Elements and Hex Series
(Articles)
Balasubramani Prema Rangasamy
Advances in Pure Mathematics
Vol.10 No.7
,July 21, 2020
DOI:
10.4236/apm.2020.107024
571
Downloads
1,290
Views
Citations
A History, the Main Mathematical Results and Applications for the Mathematics of Harmony
(Articles)
A. P. Stakhov
Applied Mathematics
Vol.5 No.3
,February 11, 2014
DOI:
10.4236/am.2014.53039
8,365
Downloads
11,324
Views
Citations
Winning Strategies and Complexity of Nim-Type Computer Game on Plane
(Articles)
Boris S. Verkhovsky
Int'l J. of Communications, Network and System Sciences
Vol.3 No.10
,October 27, 2010
DOI:
10.4236/ijcns.2010.310106
5,770
Downloads
9,862
Views
Citations
Squares from
D
(–4) and
D
(20) Triples
(Articles)
Zvonko Čerin
Advances in Pure Mathematics
Vol.1 No.5
,September 21, 2011
DOI:
10.4236/apm.2011.15052
3,319
Downloads
6,821
Views
Citations
Occurrence of Fibonacci numbers in development and structure of animal forms: Phylogenetic observations and epigenetic significance
(Articles)
John J. Wille
Natural Science
Vol.4 No.4
,April 24, 2012
DOI:
10.4236/ns.2012.44033
11,319
Downloads
16,700
Views
Citations
Polynomial Generalizations and Combinatorial Interpretations for Sequences Including the Fibonacci and Pell Numbers
(Articles)
Cecília Pereira de Andrade
,
José Plínio de Oliveira Santos
,
Elen Viviani Pereira da Silva
,
Kênia Cristina Pereira Silva
Open Journal of Discrete Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/ojdm.2013.31006
6,081
Downloads
9,275
Views
Citations
On the Norms of
r
-Toeplitz Matrices Involving Fibonacci and Lucas Numbers
(Articles)
Hasan Gökbaş
,
Ramazan Türkmen
Advances in Linear Algebra & Matrix Theory
Vol.6 No.2
,June 2, 2016
DOI:
10.4236/alamt.2016.62005
2,123
Downloads
2,963
Views
Citations
Carbon Material with Fibonacci Parastichy Structure
(Articles)
Aohan Wang
,
Hiromasa Goto
Soft
Vol.5 No.1
,February 4, 2017
DOI:
10.4236/soft.2017.51001
2,064
Downloads
3,198
Views
Citations
The Optimum of a Quadratic Univariate Response Function Is Located at the Origin
(Articles)
Idorenyin Etukudo
American Journal of Operations Research
Vol.7 No.6
,October 18, 2017
DOI:
10.4236/ajor.2017.76024
805
Downloads
1,357
Views
Citations
Fibonacci Harmonics: A New Mathematical Model of Synchronicity
(Articles)
Robert G. Sacco
Applied Mathematics
Vol.9 No.6
,June 29, 2018
DOI:
10.4236/am.2018.96048
2,064
Downloads
6,964
Views
Citations
On the Norms of
r
-Hankel Matrices Involving Fibonacci and Lucas Numbers
(Articles)
Hasan Gökbaş
,
Hasan Köse
Journal of Applied Mathematics and Physics
Vol.6 No.7
,July 10, 2018
DOI:
10.4236/jamp.2018.67117
806
Downloads
1,731
Views
Citations
Internal Merge: Why Does It Work This Way? A Matrix Syntactic Approach to Argument Chain
(Articles)
Koji Arikawa
Open Journal of Modern Linguistics
Vol.12 No.3
,June 30, 2022
DOI:
10.4236/ojml.2022.123025
173
Downloads
769
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.1
,January 30, 2011
DOI:
10.4236/am.2011.21009
6,380
Downloads
12,055
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry)
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.2
,February 25, 2011
DOI:
10.4236/am.2011.22020
6,109
Downloads
11,535
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.3
,March 24, 2011
DOI:
10.4236/am.2011.23033
6,367
Downloads
12,234
Views
Citations
Hilbert’s Fourth Problem: Searching for Harmonic Hyperbolic Worlds of Nature
(Articles)
A. P. Stakhov
Journal of Applied Mathematics and Physics
Vol.1 No.3
,September 24, 2013
DOI:
10.4236/jamp.2013.13010
6,858
Downloads
9,406
Views
Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World
(Articles)
Alexey Stakhov
,
Samuil Aranson
Journal of Applied Mathematics and Physics
Vol.2 No.7
,June 13, 2014
DOI:
10.4236/jamp.2014.27056
3,879
Downloads
5,240
Views
Citations
Pyroelectric Bi
5-x
(Bi
2
S
3
)
39
I
12
S: Fibonacci Superstructure, Synthesis Options and Solar Cell Potential
(Articles)
Hans Hermann Otto
World Journal of Condensed Matter Physics
Vol.5 No.2
,April 27, 2015
DOI:
10.4236/wjcmp.2015.52010
3,346
Downloads
4,277
Views
Citations
This article belongs to the Special Issue on
Dielectrics and Ferroelectrics
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1
2
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