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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
6,845
Downloads
9,583
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
6,357
Downloads
12,392
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
6,090
Downloads
11,919
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
6,349
Downloads
12,384
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
3,868
Downloads
5,234
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
8,338
Downloads
11,609
Views
Citations
Misconceptions of Universe Expansion, Accelerated Universe Expansion, and Their Sources. Virtual Reality of Inflationary Cosmology
(Articles)
Georg von Brzeski
,
Vadim von Brzeski
Journal of Modern Physics
Vol.9 No.6
,May 30, 2018
DOI:
10.4236/jmp.2018.96081
931
Downloads
3,246
Views
Citations
Adomian Decomposition Method for Solving Goursat's Problems
(Articles)
Mariam A. Al-Mazmumy
Applied Mathematics
Vol.2 No.8
,August 8, 2011
DOI:
10.4236/am.2011.28134
6,079
Downloads
12,329
Views
Citations
The Power Integrations of Trigonometric and Hyperbolic Functions
(Articles)
Ahmed M. Ali
,
Omar M. Abd-Alkanee
Open Access Library Journal
Vol.6 No.8
,August 29, 2019
DOI:
10.4236/oalib.1105618
564
Downloads
1,736
Views
Citations
CMB
—A Geometric, Lorentz Invariant Model in Non-Expanding Lobachevskian Universe with a Black Body Spectral Distribution Function
(Articles)
J. Georg von Brzeski
,
Vadim von Brzeski
Journal of Modern Physics
Vol.8 No.13
,December 8, 2017
DOI:
10.4236/jmp.2017.813129
746
Downloads
1,486
Views
Citations
This article belongs to the Special Issue on
Gravitation, Astrophysics and Cosmology
The Summation of One Class of Infinite Series
(Articles)
Jonathan D. Weiss
Applied Mathematics
Vol.5 No.17
,October 28, 2014
DOI:
10.4236/am.2014.517269
6,070
Downloads
7,633
Views
Citations
Quantum Dark Energy from the Hyperbolic Transfinite Cantorian Geometry of the Cosmos
(Articles)
Mohamed S. El Naschie
Natural Science
Vol.8 No.3
,March 17, 2016
DOI:
10.4236/ns.2016.83018
50,010
Downloads
51,121
Views
Citations
The hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy
(Articles)
M. S. El Naschie
Journal of Modern Physics
Vol.4 No.3
,March 21, 2013
DOI:
10.4236/jmp.2013.43049
7,583
Downloads
11,754
Views
Citations
On the Telegrapher’s Equation with Three Space Variables in Non-Rectangular Coordinates
(Articles)
Tristan Guillaume
Journal of Applied Mathematics and Physics
Vol.8 No.5
,May 20, 2020
DOI:
10.4236/jamp.2020.85070
350
Downloads
1,060
Views
Citations
Frobenius Series Solutions of the Schrodinger Equation with Various Types of Symmetric Hyperbolic Potentials in One Dimension
(Articles)
Hippolyte Nyengeri
,
René Simbizi
,
Audace Girukwishaka
,
Rénovat Nizigiyimana
,
Eugène Ndenzako
Open Access Library Journal
Vol.5 No.7
,July 26, 2018
DOI:
10.4236/oalib.1104728
592
Downloads
1,997
Views
Citations
Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential
(Articles)
Hippolyte Nyengeri
,
Rénovat Nizigiyima
,
Eugène Ndenzako
,
Félix Bigirimana
,
Dieudonné Niyonkuru
,
Audace Girukwishaka
Open Access Library Journal
Vol.5 No.10
,October 29, 2018
DOI:
10.4236/oalib.1104950
628
Downloads
2,501
Views
Citations
Hyperbolic Coxeter Pyramids
(Articles)
John Mcleod
Advances in Pure Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/apm.2013.31010
5,626
Downloads
7,827
Views
Citations
Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation
(Articles)
Durdimurat K. Durdiev
Applied Mathematics
Vol.1 No.2
,July 22, 2010
DOI:
10.4236/am.2010.12016
3,797
Downloads
6,897
Views
Citations
A Logarithmic Finite Difference Method for Troesch’s Problem
(Articles)
M. S. Ismail
,
K. S. Al-Basyoni
Applied Mathematics
Vol.9 No.5
,May 30, 2018
DOI:
10.4236/am.2018.95039
1,060
Downloads
2,330
Views
Citations
Elementary Wave Interactions for the Simplified Combustion Model in Magnetogasdynamics
(Articles)
Yujin Liu
,
Wenhua Sun
Journal of Applied Mathematics and Physics
Vol.7 No.4
,April 29, 2019
DOI:
10.4236/jamp.2019.74066
526
Downloads
1,023
Views
Citations
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