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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
6,363
Downloads
12,405
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
6,100
Downloads
11,945
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
195
Downloads
3,796
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
5,830
Downloads
12,072
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
564
Downloads
1,452
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
804
Downloads
1,395
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
2,058
Downloads
7,466
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
6,355
Downloads
12,405
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
3,874
Downloads
5,246
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
8,358
Downloads
11,679
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
2,353
Downloads
4,146
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
805
Downloads
1,799
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
27
Downloads
259
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
6,058
Downloads
7,310
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
753
Downloads
1,928
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
10,871
Downloads
18,828
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
478
Downloads
1,436
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
101
Downloads
1,164
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
3,100
Downloads
5,034
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
6,417
Downloads
8,493
Views
Citations
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