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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
6,852
Downloads
9,598
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
6,363
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
6,096
Downloads
11,937
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
12,402
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
5,244
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
8,355
Downloads
11,670
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
933
Downloads
3,266
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
6,093
Downloads
12,366
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
576
Downloads
1,780
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
749
Downloads
1,497
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
6,080
Downloads
7,651
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
50,012
Downloads
51,129
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
7,588
Downloads
11,770
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
351
Downloads
1,070
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
595
Downloads
2,013
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
631
Downloads
2,519
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
5,631
Downloads
7,840
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
3,803
Downloads
6,912
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
1,063
Downloads
2,344
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
528
Downloads
1,032
Views
Citations
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