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Keyword

multivectors

Description: Elements of a geometric or exterior algebra that combine quantities of different grades, used in mathematics and physics.
Wikidata ID: wiki/Q2377336
OpenAlex ID: keywords/multivectors
Quaternionic and Clifford calculus for physicists and engineers
1997 · Computers & Mathematics with Applications · 545
Multivectors and Clifford Algebra in Electrodynamics
1989 · B Jancewicz · WORLD SCIENTIFIC eBooks · 167
Differential Forms in Electromagnetics
2004 · Ismo V. Lindell · Wiley eBooks · 166
Clifford Fourier Transform on Vector Fields
2005 · J. Ebling, G. Scheuermann · IEEE Transactions on Visualization and Computer Graphics · 139
Clifford Support Vector Machines for Classification, Regression, and Recurrence
2010 · Eduardo Jose Bayro-Corrochano, Nancy Arana-Daniel · IEEE Transactions on Neural Networks · 86
States and operators in the spacetime algebra
1993 · Chris Doran, Anthony Lasenby, et al. · Foundations of Physics · 85
Review of Geometric algebra for computer science by Leo Dorst, Daniel Fontijne, and Stephen Mann (Morgan Kaufmann Publishers, 2007)
2008 · Brittany Terese Fasy, David L. Millman · ACM SIGACT News · 83
Clifford Multivector Toolbox (for MATLAB)
2016 · Stephen J. Sangwine, Eckhard Hitzer · Advances in Applied Clifford Algebras · 75
The Schouten-Nijenhuis bracket and interior products
1997 · Charles-Michel Marle · Journal of Geometry and Physics · 60
CAUSTA: Clifford Algebra‐based Unified Spatio‐Temporal Analysis
2010 · Linwang Yuan, Zhaoyuan Yu, et al. · Transactions in GIS · 57
Clifford Theory: A Geometrical Interpretation of Multivectorial Apparent Power
2008 · M. Castilla, J.C. Bravo, et al. · IEEE Transactions on Circuits and Systems I Regular Papers · 54
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Divergence operators and odd Poisson brackets
2002 · Yvette Kosmann-Schwarzbach, Juan Monterde · Annales de l’institut Fourier · 47
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Geometric-Algebra LMS Adaptive Filter and Its Application to Rotation Estimation
2016 · Wilder B. Lopes, Anas Al-Nuaimi, et al. · IEEE Signal Processing Letters · 41
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Clifford Algebra Computations with Maple
1996 · Rafal Ablamowicz · Birkhäuser Boston eBooks · 41
A Geometrical Interpretation of Frequency
2021 · Federico Milano · IEEE Transactions on Power Systems · 40
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Clifford Space as the Arena for Physics
2003 · Matej Pavšsič · Foundations of Physics · 39
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Irreducible sums of simple multivectors
1973 · Herbert Busemann, Donald Glassco · Pacific Journal of Mathematics · 39
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Geometric matrix algebra
2007 · Garret Sobczyk · Linear Algebra and its Applications · 38
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The IEEE Standard 1459, the CPC Power Theory, and Geometric Algebra in Circuits With Nonsinusoidal Sources and Linear Loads
2012 · M. Castro-Nunez, R. Castro-Puche · IEEE Transactions on Circuits and Systems I Regular Papers · 37
Advantages of Geometric Algebra Over Complex Numbers in the Analysis of Networks With Nonsinusoidal Sources and Linear Loads
2012 · Milton Castro-Nunez, Róbinson Castro-Puche · IEEE Transactions on Circuits and Systems I Regular Papers · 37
Simple spinors and real structures
1992 · Wojciech Kopczyński, Andrzej Trautman · Journal of Mathematical Physics · 36
Non-Commutative Batalin-Vilkovisky Algebras, Homotopy Lie Algebras and the Courant Bracket
2007 · K. Bering · Communications in Mathematical Physics · 35
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Multivector calculus
1968 · David Hestenes · Journal of Mathematical Analysis and Applications · 32
L1-Norm Minimization for Multi-dimensional Signals Based on Geometric Algebra
2019 · Rui Wang, Miaomiao Shen, et al. · Advances in Applied Clifford Algebras · 31
Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics
1991 · Jaime Keller · International Journal of Theoretical Physics · 27
Works count: 399
Citation count: 3,158
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