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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
6,861
Downloads
9,420
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
6,382
Downloads
12,057
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
6,117
Downloads
11,553
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
6,374
Downloads
12,250
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
3,881
Downloads
5,250
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
8,369
Downloads
11,346
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
942
Downloads
3,115
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
6,110
Downloads
11,940
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
585
Downloads
1,609
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
754
Downloads
1,421
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
6,087
Downloads
7,565
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
50,013
Downloads
51,114
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
7,591
Downloads
11,456
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
365
Downloads
1,055
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
603
Downloads
1,898
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
639
Downloads
2,420
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
5,634
Downloads
7,724
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
3,810
Downloads
6,839
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
1,067
Downloads
2,191
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
531
Downloads
984
Views
Citations
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