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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
6,824
Downloads
12,959
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
6,546
Downloads
12,461
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
6,710
Downloads
13,087
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
4,080
Downloads
6,035
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
8,670
Downloads
12,618
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
11,541
Downloads
23,265
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
2,176
Downloads
3,228
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
2,890
Downloads
4,699
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
517
Downloads
2,169
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
1,247
Downloads
2,737
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
973
Downloads
2,475
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
74
Downloads
442
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
3,323
Downloads
5,734
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
533
Downloads
13,585
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
272
Downloads
1,303
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
151
Downloads
587
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
3,165
Downloads
4,664
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
292
Downloads
1,056
Views
Citations
Corrosion Behavior of Cu
60
Zr
30
Ti
10
Metallic Glass in the Cl
–
Containing Solution
(Articles)
Wei-Ke An
,
An-Hui Cai
,
Xiang Xiong
,
Yong Liu
,
Yun Luo
,
Tie-Lin Li
,
Xiao-Song Li
Materials Sciences and Applications
Vol.2 No.6
, June 24, 2011
DOI:
10.4236/msa.2011.26073
5,852
Downloads
9,698
Views
Citations
The Analysis of Stiffness for Rubbery Metallic Material Based on Mesoscopic Features
(Articles)
Hong Zuo
,
Hongbai Bai
,
Yuhong Feng
Materials Sciences and Applications
Vol.2 No.6
, June 24, 2011
DOI:
10.4236/msa.2011.26090
5,370
Downloads
8,556
Views
Citations
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