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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
7,745
Downloads
10,027
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
5,733
Downloads
11,028
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.3
,March 24, 2011
DOI:
10.4236/am.2011.23033
5,945
Downloads
11,439
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
3,692
Downloads
4,742
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.2
,February 25, 2011
DOI:
10.4236/am.2011.22020
5,400
Downloads
10,447
Views
Citations
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
6,438
Downloads
8,686
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
158
Downloads
294
Views
Citations
An Algorithm to Generalize the Pascal and Fibonacci Matrices
(Articles)
Ilhan M. Izmirli
Applied Mathematics
Vol.6 No.6
,June 10, 2015
DOI:
10.4236/am.2015.66101
5,592
Downloads
6,268
Views
Citations
Relationships between Some
k
-Fibonacci Sequences
(Articles)
Sergio Falcon
Applied Mathematics
Vol.5 No.15
,August 8, 2014
DOI:
10.4236/am.2014.515216
5,335
Downloads
6,117
Views
Citations
Multi Parameters Golden Ratio and Some Applications
(Articles)
Seyed Moghtada Hashemiparast
,
Omid Hashemiparast
Applied Mathematics
Vol.2 No.7
,July 5, 2011
DOI:
10.4236/am.2011.27108
5,247
Downloads
10,685
Views
Citations
Fibonacci Harmonics: A New Mathematical Model of Synchronicity
(Articles)
Robert G. Sacco
Applied Mathematics
Vol.9 No.6
,June 29, 2018
DOI:
10.4236/am.2018.96048
1,185
Downloads
2,693
Views
Citations
Mass Constituents of a Flat Lattice Multiverse: Conclusion from Similarity between Two Universal Numbers, the Rocksalt-Type 2
D
Madelung Constant and the Golden Mean
(Articles)
Hans Hermann Otto
Journal of Modern Physics
Vol.9 No.1
,January 8, 2018
DOI:
10.4236/jmp.2018.91001
551
Downloads
1,096
Views
Citations
This article belongs to the Special Issue on
Research on Dark Matter and Dark Energy
On the k–Lucas Numbers of Arithmetic Indexes
(Articles)
Sergio Falcon
Applied Mathematics
Vol.3 No.10
,October 11, 2012
DOI:
10.4236/am.2012.310175
6,007
Downloads
8,327
Views
Citations
Sums of Squares of Fibonacci Numbers with Prime Indices
(Articles)
A. Gnanam
,
B. Anitha
Journal of Applied Mathematics and Physics
Vol.3 No.12
,December 18, 2015
DOI:
10.4236/jamp.2015.312186
2,974
Downloads
3,715
Views
Citations
The “3 Genomic Numbers” Discovery: How Our Genome Single-Stranded DNA Sequence Is “Self-Designed” as a Numerical Whole
(Articles)
Jean-Claude Perez
Applied Mathematics
Vol.4 No.10B
,October 4, 2013
DOI:
10.4236/am.2013.410A2004
8,096
Downloads
12,369
Views
Citations
This article belongs to the Special Issue on
Biomathematics
Fibonacci Congruences and Applications
(Articles)
René Blacher
Open Journal of Statistics
Vol.1 No.2
,August 1, 2011
DOI:
10.4236/ojs.2011.12015
4,151
Downloads
8,172
Views
Citations
Generalized Fibonacci Sequence: Possible Template for the Constants of Nature
(Articles)
Sebastiano Tosto
Journal of Applied Mathematics and Physics
Vol.7 No.12
,December 12, 2019
DOI:
10.4236/jamp.2019.712214
328
Downloads
491
Views
Citations
A Different Approach to High-Tc Superconductivity: Indication of Filamentary-Chaotic Conductance and Possible Routes to Room Temperature Superconductivity
(Articles)
Hans Hermann Otto
World Journal of Condensed Matter Physics
Vol.6 No.3
,August 22, 2016
DOI:
10.4236/wjcmp.2016.63023
2,039
Downloads
3,106
Views
Citations
Polynomial Generalizations and Combinatorial Interpretations for Sequences Including the Fibonacci and Pell Numbers
(Articles)
Cecília Pereira de Andrade
,
José Plínio de Oliveira Santos
,
Elen Viviani Pereira da Silva
,
Kênia Cristina Pereira Silva
Open Journal of Discrete Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/ojdm.2013.31006
5,341
Downloads
8,152
Views
Citations
Squares from
D
(–4) and
D
(20) Triples
(Articles)
Zvonko Čerin
Advances in Pure Mathematics
Vol.1 No.5
,September 21, 2011
DOI:
10.4236/apm.2011.15052
2,967
Downloads
6,248
Views
Citations
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