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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
6,344
Downloads
12,372
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
6,085
Downloads
11,909
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
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
6,838
Downloads
9,572
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
5,229
Views
Citations
Heinrich’s Fourth Dimension
(Articles)
Robert L. Collins
Open Journal of Safety Science and Technology
Vol.1 No.1
,June 29, 2011
DOI:
10.4236/ojsst.2011.11003
10,153
Downloads
19,814
Views
Citations
N
-Summet-
k
and Its Application in the Construction of Pascal Triangle and Pascal Matrix
(Articles)
Neelam Jeevan Kumar
Journal of Applied Mathematics and Physics
Vol.4 No.1
,January 29, 2016
DOI:
10.4236/jamp.2016.41020
4,090
Downloads
5,633
Views
Citations
Increasing the Safety of People Activity in Aggressive Potential Locations, Analyzed through the Probability Theory, Modeling/Simulation and Application in Underground Coal Mining
(Articles)
Emil Pop
,
Gabriel-Ioan Ilcea
,
Ionut-Alin Popa
,
Lorand Bogdanffy
Engineering
Vol.11 No.2
,February 13, 2019
DOI:
10.4236/eng.2019.112008
778
Downloads
1,404
Views
Citations
Digital Mobilization and Politicization of
El Caminata del Migrante
(Articles)
Mary Louisa Cappelli
Social Networking
Vol.9 No.2
,April 27, 2020
DOI:
10.4236/sn.2020.92002
540
Downloads
1,373
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
3,335
Downloads
4,346
Views
Citations
This article belongs to the Special Issue on
Dielectrics and Ferroelectrics
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
2,341
Downloads
4,122
Views
Citations
Chebyshev Polynomials with Applications to Two-Dimensional Operators
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.9 No.12
,December 24, 2019
DOI:
10.4236/apm.2019.912050
555
Downloads
2,323
Views
Citations
From Enlightenment to Cyborgs
(Articles)
Claudio Messori
Open Access Library Journal
Vol.4 No.11
,November 16, 2017
DOI:
10.4236/oalib.1104033
751
Downloads
1,736
Views
Citations
Saigon River Valley: A Navigation, Trade, Mitigation, Invasion, Liberation, and Unification Pathway
(Articles)
Kenneth R. Olson
Open Journal of Soil Science
Vol.13 No.2
,February 22, 2023
DOI:
10.4236/ojss.2023.132003
525
Downloads
2,666
Views
Citations
Tectonic Related Lithium Deposits Another Major Region Found North East Tanzania—A New Area with Close Association to the Dominant Areas: The Fourth of Four
(Articles)
Lawrence Stephenson
Natural Resources
Vol.14 No.9
,September 28, 2023
DOI:
10.4236/nr.2023.149012
178
Downloads
935
Views
Citations
Zeno and the Wrong Understanding of Motion—A Philosophical-Mathematical Inquiry into the Concept of Finitude as a Peculiarity of Infinity
(Articles)
Andreas Herberg-Rothe
Journal of Applied Mathematics and Physics
Vol.12 No.3
,March 29, 2024
DOI:
10.4236/jamp.2024.123057
24
Downloads
177
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
1,778
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
210
Views
Citations
Torsion in Groups of Integral Triangles
(Articles)
Will Murray
Advances in Pure Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/apm.2013.31015
3,290
Downloads
5,374
Views
Citations
The Mysterious Pyramid on Elephantine Island: Possible Origin of the Pyramid Code
(Articles)
Manu Seyfzadeh
Archaeological Discovery
Vol.5 No.4
,September 22, 2017
DOI:
10.4236/ad.2017.54012
2,326
Downloads
8,451
Views
Citations
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