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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
6,665
Downloads
12,651
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
6,365
Downloads
12,095
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
6,567
Downloads
12,774
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
4,019
Downloads
5,734
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
8,563
Downloads
12,185
Views
Citations
A Review of Nigerian Metallic Minerals for Technological Development
(Articles)
Umar Saidu Bamalli
,
Ali Moumouni
,
Mohammed Suleiman Chaanda
Natural Resources
Vol.2 No.2
,June 17, 2011
DOI:
10.4236/nr.2011.22011
11,257
Downloads
22,633
Views
Citations
Palliation of Malignant Esophageal Obstruction and Fistulas with Metallic Stents: A Tertiary Center Experience
(Articles)
Hana’a Tashkandi
,
Nisar Haider Zaidi
,
Abdulrehman Sibiani
Surgical Science
Vol.7 No.4
,April 27, 2016
DOI:
10.4236/ss.2016.74028
2,110
Downloads
3,022
Views
Citations
A New Look at Generalized Means
(Articles)
Sarah M. Tooth
,
John A. Dobelman
Applied Mathematics
Vol.7 No.6
,March 24, 2016
DOI:
10.4236/am.2016.76042
2,814
Downloads
4,384
Views
Citations
This article belongs to the Special Issue on
Computer-Aided Geometric Design
Comprehensive K-Means Clustering
(Articles)
Ethan Xiao
Journal of Computer and Communications
Vol.12 No.3
,March 26, 2024
DOI:
10.4236/jcc.2024.123009
388
Downloads
1,611
Views
Citations
The Golden Ratio
(Articles)
Csizmadia Jozsef
Journal of Modern Physics
Vol.7 No.14
,October 27, 2016
DOI:
10.4236/jmp.2016.714171
3,246
Downloads
5,433
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
466
Downloads
12,157
Views
Citations
Simulation of Solidification Parameters during Zr Based Bulk Metallic Glass Matrix Composite’s (BMGMCs) Additive Manufacturing
(Articles)
Muhammad Musaddique Ali Rafique
Engineering
Vol.10 No.3
,March 20, 2018
DOI:
10.4236/eng.2018.103007
1,163
Downloads
2,439
Views
Citations
Design and Analysis of a Metallic Uranium Reactor Type-Pump Using the Magnesiothermy Process
(Articles)
Munir Dides
,
José Hernández
,
Luis Olivares
World Journal of Nuclear Science and Technology
Vol.10 No.1
,November 22, 2019
DOI:
10.4236/wjnst.2020.101002
845
Downloads
2,144
Views
Citations
Intraosseous Metallic Foreign Body: A Case Report
(Articles)
Mawouto Fiawoo
,
Koffi Mawuse Guedenon
,
Ounoo Elom Takassi
,
Foli Agbeko
,
Messan Amblasso
,
Mazama Pakoudjare
,
Nadiedjoa Kokou Douti
Open Journal of Pediatrics
Vol.15 No.3
,April 29, 2025
DOI:
10.4236/ojped.2025.153026
43
Downloads
243
Views
Citations
Study on the Development and Implementation of Different Big Data Clustering Methods
(Articles)
Jean Pierre Ntayagabiri
,
Jérémie Ndikumagenge
,
Longin Ndayisaba
,
Boribo Kikunda Philippe
Open Journal of Applied Sciences
Vol.13 No.7
,July 28, 2023
DOI:
10.4236/ojapps.2023.137092
202
Downloads
952
Views
Citations
On the Equality of Weighted Bajratarević Means to Quasi-Arithmetic Means
(Articles)
Yaxun Yang
Journal of Applied Mathematics and Physics
Vol.12 No.4
,April 22, 2024
DOI:
10.4236/jamp.2024.124070
114
Downloads
396
Views
Citations
A Gendered Study of Student Ratings of Instruction
(Articles)
Lucas Huebner
,
Rhonda C. Magel
Open Journal of Statistics
Vol.5 No.6
,October 23, 2015
DOI:
10.4236/ojs.2015.56058
3,089
Downloads
4,387
Views
Citations
Optimal Inequality in the One-Parameter Arithmetic and Harmonic Means
(Articles)
Mohammed El Mokhtar Ould El Mokhtar
,
Hamad Alharbi
Open Access Library Journal
Vol.7 No.7
,July 24, 2020
DOI:
10.4236/oalib.1106586
267
Downloads
911
Views
Citations
Some Models of Reproducing Graphs: II Age Capped Vertices
(Articles)
Richard Southwell
,
Chris Cannings
Applied Mathematics
Vol.1 No.4
,October 29, 2010
DOI:
10.4236/am.2010.14031
5,339
Downloads
9,283
Views
Citations
Cytological Features of the Normal Ear Canal of Wild Jackals (
Canis aureus
) and Domesticated Dogs (
C. domesticus
)
(Articles)
Gila Zur
,
Roni King
,
Tali Bdolah-Abram
Open Journal of Veterinary Medicine
Vol.2 No.2
,June 12, 2012
DOI:
10.4236/ojvm.2012.22015
4,187
Downloads
7,638
Views
Citations
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