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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
6,345
Downloads
12,373
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
6,087
Downloads
11,912
Views
Citations
The Most Irrational Number that Shows up Everywhere: The Golden Ratio
(Articles)
Jiwon Choi
,
Agegnehu Atena
,
Wondimu Tekalign
Journal of Applied Mathematics and Physics
Vol.11 No.4
,April 28, 2023
DOI:
10.4236/jamp.2023.114077
184
Downloads
3,371
Views
Citations
Multi Parameters Golden Ratio and Some Applications
(Articles)
Seyed Moghtada Hashemiparast
,
Omid Hashemiparast
Applied Mathematics
Vol.2 No.7
,July 5, 2011
DOI:
10.4236/am.2011.27108
5,821
Downloads
12,046
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
552
Downloads
1,405
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
797
Downloads
1,383
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
2,042
Downloads
7,358
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
6,343
Downloads
12,372
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
3,867
Downloads
5,230
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
8,331
Downloads
11,584
Views
Citations
A Different Approach to High-Tc Superconductivity: Indication of Filamentary-Chaotic Conductance and Possible Routes to Room Temperature Superconductivity
(Articles)
Hans Hermann Otto
World Journal of Condensed Matter Physics
Vol.6 No.3
,August 22, 2016
DOI:
10.4236/wjcmp.2016.63023
2,344
Downloads
4,130
Views
Citations
Mass Constituents of a Flat Lattice Multiverse: Conclusion from Similarity between Two Universal Numbers, the Rocksalt-Type 2
D
Madelung Constant and the Golden Mean
(Articles)
Hans Hermann Otto
Journal of Modern Physics
Vol.9 No.1
,January 8, 2018
DOI:
10.4236/jmp.2018.91001
799
Downloads
1,779
Views
Citations
This article belongs to the Special Issue on
Research on Dark Matter and Dark Energy
A Breakthrough to the Meaning of the Fine Structure Numbers with Nucleotide Bases as Regards to Quantum Perspective Model?
(Articles)
Tahir Ölmez
Open Access Library Journal
Vol.10 No.12
,December 29, 2023
DOI:
10.4236/oalib.1111005
25
Downloads
212
Views
Citations
An Algorithm to Generalize the Pascal and Fibonacci Matrices
(Articles)
Ilhan M. Izmirli
Applied Mathematics
Vol.6 No.6
,June 10, 2015
DOI:
10.4236/am.2015.66101
6,045
Downloads
7,282
Views
Citations
Generalized Fibonacci Sequence: Possible Template for the Constants of Nature
(Articles)
Sebastiano Tosto
Journal of Applied Mathematics and Physics
Vol.7 No.12
,December 12, 2019
DOI:
10.4236/jamp.2019.712214
744
Downloads
1,892
Views
Citations
The “3 Genomic Numbers” Discovery: How Our Genome Single-Stranded DNA Sequence Is “Self-Designed” as a Numerical Whole
(Articles)
Jean-Claude Perez
Applied Mathematics
Vol.4 No.10B
,October 4, 2013
DOI:
10.4236/am.2013.410A2004
10,828
Downloads
18,639
Views
Citations
This article belongs to the Special Issue on
Biomathematics
Fibonacci Sequence Found in Parkfield Earthquake
(Articles)
Guangmeng Guo
International Journal of Geosciences
Vol.12 No.1
,January 11, 2021
DOI:
10.4236/ijg.2021.121001
472
Downloads
1,402
Views
Citations
Do Planetary Transits Predict Synchronicity Experience?
(Articles)
Robert G. Sacco
Journal of Behavioral and Brain Science
Vol.13 No.3
,March 10, 2023
DOI:
10.4236/jbbs.2023.133003
99
Downloads
1,120
Views
Citations
The Golden Ratio
(Articles)
Csizmadia Jozsef
Journal of Modern Physics
Vol.7 No.14
,October 27, 2016
DOI:
10.4236/jmp.2016.714171
3,094
Downloads
5,015
Views
Citations
Relationships between Some
k
-Fibonacci Sequences
(Articles)
Sergio Falcon
Applied Mathematics
Vol.5 No.15
,August 8, 2014
DOI:
10.4236/am.2014.515216
6,401
Downloads
8,454
Views
Citations
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