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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
6,368
Downloads
12,033
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
6,106
Downloads
11,526
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
6,360
Downloads
12,219
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
8,361
Downloads
11,295
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
122
Downloads
440
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
4,294
Downloads
5,739
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
3,276
Downloads
4,938
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
6,705
Downloads
8,739
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
4,302
Downloads
5,223
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
1,664
Downloads
2,550
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
3,254
Downloads
5,016
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
1,051
Downloads
1,473
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
101
Downloads
471
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
466
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
77
Downloads
1,198
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
43
Downloads
270
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
4,899
Downloads
13,105
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
3,364
Downloads
4,980
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
1,793
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
654
Downloads
1,897
Views
Citations
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