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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
6,717
Downloads
12,753
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
6,422
Downloads
12,226
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
6,617
Downloads
12,885
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
4,039
Downloads
5,844
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
8,588
Downloads
12,311
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
11,338
Downloads
22,843
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
2,126
Downloads
3,073
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
2,840
Downloads
4,477
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
419
Downloads
1,789
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
3,271
Downloads
5,535
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
486
Downloads
12,683
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
1,187
Downloads
2,526
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
894
Downloads
2,289
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
54
Downloads
317
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
222
Downloads
1,073
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
126
Downloads
453
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
3,104
Downloads
4,463
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
277
Downloads
965
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
5,385
Downloads
9,391
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
4,207
Downloads
7,705
Views
Citations
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