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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
6,363
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
11,933
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
6,353
Downloads
12,398
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
8,353
Downloads
11,664
Views
Citations
3-Anti-Circulant Digraphs Are
α
-Diperfect and BE-Diperfect
(Articles)
Lucas I. B. Freitas
,
Orlando Lee
Open Journal of Discrete Mathematics
Vol.12 No.3
,June 13, 2022
DOI:
10.4236/ojdm.2022.123003
117
Downloads
482
Views
Citations
Irrelevance of Conjectural Variation in a Private Duopoly with Consistent Conjectures: The Relative Performance Approach and Network Effects
(Articles)
Yasuhiko Nakamura
Modern Economy
Vol.4 No.9A
,August 20, 2013
DOI:
10.4236/me.2013.49A002
4,297
Downloads
5,775
Views
Citations
This article belongs to the Special Issue on
Marketing Management
Scholz’s Third Conjecture: A Demonstration for Star Addition Chains
(Articles)
José Maclovio Sautto Vallejo
,
Agustín Santiago Moreno
,
Carlos N. Bouza Herrera
,
Verónica Campos Guzmán
Applied Mathematics
Vol.4 No.10A
,September 30, 2013
DOI:
10.4236/am.2013.410A1001
3,274
Downloads
5,045
Views
Citations
This article belongs to the Special Issue on
Computer Mathematics
A Simple and General Proof of Beal’s Conjecture (I)
(Articles)
Golden Gadzirayi Nyambuya
Advances in Pure Mathematics
Vol.4 No.9
,September 22, 2014
DOI:
10.4236/apm.2014.49059
6,701
Downloads
11,674
Views
Citations
Scholz’s First Conjecture: A Brief Demonstration
(Articles)
José M. Sautto
,
Agustín Santiago
,
Carlos N. Bouza
,
Verónica Campos
Applied Mathematics
Vol.7 No.1
,January 25, 2016
DOI:
10.4236/am.2016.71006
4,305
Downloads
5,311
Views
Citations
Energy Conversion Mechanics for Photon Emission per Non-Local Hidden-Variable Theory
(Articles)
Dirk J. Pons
,
Arion D. Pons
,
Aiden J. Pons
Journal of Modern Physics
Vol.7 No.10
,June 8, 2016
DOI:
10.4236/jmp.2016.710094
1,662
Downloads
2,603
Views
Citations
Solutions to Beal’s Conjecture, Fermat’s Last Theorem and Riemann Hypothesis
(Articles)
A. C. Wimal Lalith de Alwis
Advances in Pure Mathematics
Vol.6 No.10
,September 13, 2016
DOI:
10.4236/apm.2016.610053
3,242
Downloads
5,522
Views
Citations
The Study of the Polignac Numbers
(Articles)
J. Czopik
Advances in Pure Mathematics
Vol.9 No.6
,June 30, 2019
DOI:
10.4236/apm.2019.96027
1,040
Downloads
1,920
Views
Citations
Selection of Coherent and Concise Formulae on Bernoulli Polynomials-Numbers-Series and Power Sums-Faulhaber Problems
(Articles)
Do Tan Si
Applied Mathematics
Vol.13 No.10
,October 28, 2022
DOI:
10.4236/am.2022.1310051
99
Downloads
516
Views
Citations
Group-Theoretic Remarks on Goldbach’s Conjecture
(Articles)
Liguo He
,
Gang Zhu
Advances in Pure Mathematics
Vol.12 No.11
,November 9, 2022
DOI:
10.4236/apm.2022.1211048
101
Downloads
521
Views
Citations
A Map Coloring Method
(Articles)
Shijun Han
Journal of Applied Mathematics and Physics
Vol.11 No.4
,April 30, 2023
DOI:
10.4236/jamp.2023.114079
75
Downloads
1,208
Views
Citations
An Overview of Gombrich’s Research on the Ideological Coherence of Leonardo da Vinci’s Manners of Motion in Water and Air Manuscript
(Articles)
Jiapan Zhong
,
Shuhan Chen
Open Access Library Journal
Vol.10 No.8
,July 31, 2023
DOI:
10.4236/oalib.1110461
42
Downloads
286
Views
Citations
Factoring Elementary p-Groups for p ≤ 7
(Articles)
Sándor Szabó
Open Journal of Discrete Mathematics
Vol.1 No.1
,April 8, 2011
DOI:
10.4236/ojdm.2011.11001
4,883
Downloads
13,195
Views
Citations
The Resolution of the Great 20th Century Debate in the Foundations of Mathematics
(Articles)
Edgar E. Escultura
Advances in Pure Mathematics
Vol.6 No.3
,February 26, 2016
DOI:
10.4236/apm.2016.63012
3,358
Downloads
5,043
Views
Citations
Extensions of the Constructivist Real Number System
(Articles)
E. E. Escultura
Advances in Pure Mathematics
Vol.8 No.8
,August 20, 2018
DOI:
10.4236/apm.2018.88044
984
Downloads
1,897
Views
Citations
One More Assertion to Fermat’s Last Theorem
(Articles)
Balasubramani Prema Rangasamy
Advances in Pure Mathematics
Vol.10 No.6
,June 30, 2020
DOI:
10.4236/apm.2020.106022
648
Downloads
2,040
Views
Citations
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