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The Lie Group
S
U
(2) Hopf Fibration and the Fourier Equation
(Articles)
Adelin Mulenda Mbuto
,
Lucien Zihindula Biguru
,
Jean Masudi Kalongama
,
Joseph Cimbela Kabongo
,
Albert Kabasele Yenga-Yenga
Journal of Applied Mathematics and Physics
Vol.8 No.7
,July 25, 2020
DOI:
10.4236/jamp.2020.87105
671
Downloads
2,181
Views
Citations
Deductions from the Quaternion Form of Maxwell’s Electromagnetic Equations
(Articles)
Jeremy Dunning-Davies
,
Richard Lawrence Norman
Journal of Modern Physics
Vol.11 No.9
,September 22, 2020
DOI:
10.4236/jmp.2020.119085
1,093
Downloads
4,551
Views
Citations
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE
(Articles)
Sergey Victor Ludkovsky
Advances in Pure Mathematics
Vol.2 No.2
,March 22, 2012
DOI:
10.4236/apm.2012.22013
8,082
Downloads
14,620
Views
Citations
Cyclic Solution and Optimal Approximation of the Quaternion Stein Equation
(Articles)
Guangmei Liu
,
Yanting Zhang
,
Yiwen Yao
,
Jingpin Huang
Journal of Applied Mathematics and Physics
Vol.11 No.11
,November 30, 2023
DOI:
10.4236/jamp.2023.1111235
43
Downloads
155
Views
Citations
A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics
(Articles)
Zhenwei Guo
,
Gang Wang
,
Dong Zhang
,
Tongsong Jiang
Journal of Applied Mathematics and Physics
Vol.7 No.9
,August 29, 2019
DOI:
10.4236/jamp.2019.79133
573
Downloads
1,199
Views
Citations
On Bicomplex Representation Methods and Applications of Matrices over Quaternionic Division Algebra
(Articles)
Junliang Wu
,
Pingping Zhang
Advances in Pure Mathematics
Vol.1 No.2
,March 30, 2011
DOI:
10.4236/apm.2011.12004
5,184
Downloads
11,855
Views
Citations
Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems
(Articles)
Hector Torres-Silva
Journal of Electromagnetic Analysis and Applications
Vol.5 No.3
,March 28, 2013
DOI:
10.4236/jemaa.2013.53017
5,986
Downloads
8,619
Views
Citations
Algebraic Techniques for Linear Equations over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics
(Articles)
Gang Wang
,
Zhenwei Guo
,
Dong Zhang
,
Tongsong Jiang
Journal of Applied Mathematics and Physics
Vol.7 No.8
,August 16, 2019
DOI:
10.4236/jamp.2019.78118
696
Downloads
1,352
Views
Citations
Spectrum of Signals on the Quaternion Fourier Transform Domain
(Articles)
Guicheng Yang
,
Yingxiong Fu
Journal of Applied Mathematics and Physics
Vol.1 No.4
,November 6, 2013
DOI:
10.4236/jamp.2013.14007
5,761
Downloads
8,331
Views
Citations
A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data
(Articles)
Tohru Nitta
Applied Mathematics
Vol.4 No.12
,November 20, 2013
DOI:
10.4236/am.2013.412219
3,623
Downloads
5,769
Views
Citations
Elements of Electromagnetic Matter
(Articles)
Viktor Ariel
Journal of Modern Physics
Vol.15 No.3
,February 29, 2024
DOI:
10.4236/jmp.2024.153013
82
Downloads
371
Views
Citations
A New Wave Equation of the Electron
(Articles)
Arbab I. Arbab
Journal of Modern Physics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/jmp.2011.29121
7,821
Downloads
15,851
Views
Citations
Relativistic Warning to Space Missions Aimed to Reach Phobos
(Articles)
Alexander P. Yefremov
International Journal of Astronomy and Astrophysics
Vol.1 No.4
,December 19, 2011
DOI:
10.4236/ijaa.2011.14025
3,574
Downloads
6,933
Views
Citations
The Quaternion Structure of Space-Time and Arrow of Time
(Articles)
Ying-Qiu Gu
Journal of Modern Physics
Vol.3 No.7
,July 17, 2012
DOI:
10.4236/jmp.2012.37078
6,195
Downloads
9,898
Views
Citations
Branch Dynamics: A Theoretical Interpretation of Natural Phenomena
(Articles)
Fred Y. Ye
Int'l J. of Modern Nonlinear Theory and Application
Vol.2 No.1A
,March 29, 2013
DOI:
10.4236/ijmnta.2013.21A009
3,823
Downloads
6,597
Views
Citations
This article belongs to the Special Issue on
Chaos
A Quaternion Solution of the Motion in a Central Force Field Relative to a Rotating Reference Frame
(Articles)
Ioan-Adrian Ciureanu
,
Daniel Condurache
World Journal of Mechanics
Vol.5 No.5
,May 13, 2015
DOI:
10.4236/wjm.2015.55008
3,053
Downloads
3,954
Views
Citations
6R Robot Inverse Solution Algorithm Based on Quaternion Matrix and Groebner Base
(Articles)
Zhensong Ni
,
Ruikun Wu
Advances in Linear Algebra & Matrix Theory
Vol.8 No.1
,March 7, 2018
DOI:
10.4236/alamt.2018.81004
1,035
Downloads
2,120
Views
Citations
The Properties and Fast Algorithm of Quaternion Linear Canonical Transform
(Articles)
Ye Zhang
,
Guanlei Xu
Journal of Signal and Information Processing
Vol.9 No.3
,August 21, 2018
DOI:
10.4236/jsip.2018.93012
942
Downloads
1,685
Views
Citations
Complex Maxwell’s Equations
(Articles)
Mahgoub A. Salih
Journal of Modern Physics
Vol.14 No.12
,November 29, 2023
DOI:
10.4236/jmp.2023.1412097
109
Downloads
545
Views
Citations
On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices
(Articles)
Huasheng Zhang
Advances in Linear Algebra & Matrix Theory
Vol.1 No.1
,December 30, 2011
DOI:
10.4236/alamt.2011.11001
4,179
Downloads
13,591
Views
Citations
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