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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
6,860
Downloads
13,031
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
6,588
Downloads
12,566
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
6,739
Downloads
13,104
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
4,110
Downloads
6,126
Views
Citations
Astronomy and Sun Cult in the Swedish Bronze Age
(Articles)
Nils-Axel Mörner
,
Bob G. Lind
International Journal of Astronomy and Astrophysics
Vol.8 No.2
, May 9, 2018
DOI:
10.4236/ijaa.2018.82010
2,654
Downloads
9,527
Views
Citations
A Model of Dark Matter and Dark Energy Based on Relativizing Newton’s Physics
(Articles)
Ramzi Suleiman
World Journal of Condensed Matter Physics
Vol.8 No.3
, August 31, 2018
DOI:
10.4236/wjcmp.2018.83009
1,472
Downloads
5,152
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
780
Downloads
2,000
Views
Citations
A New Hypothesis on the Dark Matter
(Articles)
A. Bianchi
,
G. Guido
Journal of High Energy Physics, Gravitation and Cosmology
Vol.7 No.2
, April 22, 2021
DOI:
10.4236/jhepgc.2021.72033
572
Downloads
2,215
Views
Citations
Could There Be a Common Property Method for Expressions of Both These Constant Numbers Such as Faraday Constant Number and Einstein Constant Number with Nucleotide Bases?
(Articles)
Tahir Ölmez
Open Access Library Journal
Vol.12 No.2
, February 24, 2025
DOI:
10.4236/oalib.1112950
35
Downloads
403
Views
Citations
When Landscape Becomes Geometry II: Multi-Anchor Fibonacci Spiral Modeling in the Bosnian Valley of the Pyramids
(Articles)
Sam Osmanagich
,
Massimo Guzzinati
,
Richard Hoyle
International Journal of Geosciences
Vol.17 No.3
, March 31, 2026
DOI:
10.4236/ijg.2026.173011
57
Downloads
313
Views
Citations
A Study of Multi-Node and Dual-Hop Collaborative Communication Performance Based on Harmonic Mean Method
(Articles)
Tingting YANG
,
Shufang ZHANG
Communications and Network
Vol.1 No.1
, August 18, 2009
DOI:
10.4236/cn.2009.11006
5,297
Downloads
9,527
Views
Citations
Are mean platelet volume and splenomegaly subclinical inflammatory marker in children with familial mediterranean fever?
(Articles)
Ismail Dursun
,
Faysal Gok
,
Oguzhan Babacan
,
Erkan Sarı
,
Onur Sakallıoglu
Health
Vol.2 No.7
, July 23, 2010
DOI:
10.4236/health.2010.27105
5,464
Downloads
10,273
Views
Citations
Modeling and Analysis of Bandwidth Allocation in IEEE 802.16 MAC: A Stochastic Reward Net Approach
(Articles)
Shanmugam Geetha
,
Raman Jayaparvathy
International Journal of Communications, Network and System Sciences
Vol.3 No.7
, July 27, 2010
DOI:
10.4236/ijcns.2010.37085
5,669
Downloads
10,273
Views
Citations
Integral Mean Estimates for Polynomials Whose Zeros are within a Circle
(Articles)
Yash Paul
,
Wali Mohammad Shah
,
Gulshan Singh
Applied Mathematics
Vol.2 No.1
, January 30, 2011
DOI:
10.4236/am.2011.21016
5,030
Downloads
9,450
Views
Citations
Automatic segmentation of brain tissue based on improvedfuzzy c means clustering algorithm
(Articles)
Zhuang Miao
,
Xiaomei Lin
,
Chengcheng Liu
Journal of Biomedical Science and Engineering
Vol.4 No.2
, February 25, 2011
DOI:
10.4236/jbise.2011.42014
5,856
Downloads
10,963
Views
Citations
Computation of Some Geometric Properties for New Nonlinear PDE Models
(Articles)
Nassar Hassan Abdel-All
,
Mohammed Abdullah Abdullah Hamad
,
Mohammed Abdullah Abdel-Razek
,
Amal Aboelwafa Khalil
Applied Mathematics
Vol.2 No.6
, June 21, 2011
DOI:
10.4236/am.2011.26088
5,802
Downloads
10,449
Views
Citations
Non Linear Image Restoration in Spatial Domain
(Articles)
Bushra Jalil
,
Fauvet Eric
,
Laligant Olivier
Journal of Signal and Information Processing
Vol.2 No.3
, August 18, 2011
DOI:
10.4236/jsip.2011.23029
7,235
Downloads
12,205
Views
Citations
An Efficient and Concise Algorithm for Convex Quadratic Programming and Its Application to Markowitz’s Portfolio Selection Model
(Articles)
Zhongzhen Zhang
,
Huayu Zhang
Technology and Investment
Vol.2 No.4
, November 4, 2011
DOI:
10.4236/ti.2011.24024
9,492
Downloads
14,120
Views
Citations
On the Individual Expectations of Non-Average Investors
(Articles)
Lucia Del Chicca
,
Gerhard Larcher
Journal of Mathematical Finance
Vol.1 No.3
, November 8, 2011
DOI:
10.4236/jmf.2011.13010
5,450
Downloads
9,289
Views
Citations
Agrochemical Concentration Level in Zaria Dam Reservoir and Ground Waters in the Environs
(Articles)
J. A. Tanko
,
E. A. Oluwadamisi
,
I. Abubakar
Journal of Environmental Protection
Vol.3 No.2
, February 24, 2012
DOI:
10.4236/jep.2012.32028
6,755
Downloads
10,160
Views
Citations
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