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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
8,331
Downloads
11,579
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
6,342
Downloads
12,370
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
6,343
Downloads
12,371
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
3,867
Downloads
5,229
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
6,083
Downloads
11,907
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
6,838
Downloads
9,572
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
552
Downloads
1,404
Views
Citations
The Most Irrational Number that Shows up Everywhere: The Golden Ratio
(Articles)
Jiwon Choi
,
Agegnehu Atena
,
Wondimu Tekalign
Journal of Applied Mathematics and Physics
Vol.11 No.4
,April 28, 2023
DOI:
10.4236/jamp.2023.114077
184
Downloads
3,316
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
6,043
Downloads
7,278
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
6,398
Downloads
8,447
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
5,820
Downloads
12,044
Views
Citations
A Breakthrough to the Meaning of the Fine Structure Numbers with Nucleotide Bases as Regards to Quantum Perspective Model?
(Articles)
Tahir Ölmez
Open Access Library Journal
Vol.10 No.12
,December 29, 2023
DOI:
10.4236/oalib.1111005
25
Downloads
209
Views
Citations
Do Planetary Transits Predict Synchronicity Experience?
(Articles)
Robert G. Sacco
Journal of Behavioral and Brain Science
Vol.13 No.3
,March 10, 2023
DOI:
10.4236/jbbs.2023.133003
99
Downloads
1,113
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
2,040
Downloads
7,312
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
799
Downloads
1,778
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
6,706
Downloads
9,885
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
3,456
Downloads
4,938
Views
Citations
Can the Golden Ratio Numbers in Biochemistry and Mathematics Have a Common Explanation with Nucleotide Bases?
(Articles)
Tahir Ölmez
Open Access Library Journal
Vol.10 No.1
,January 31, 2023
DOI:
10.4236/oalib.1109716
46
Downloads
405
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
10,827
Downloads
18,633
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
4,666
Downloads
9,330
Views
Citations
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