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Abraham Ungar
Abraham Ungar
Professor of Mathematics, North Dakota State University
Verified email at ndsu.edu
Title
Cited by
Cited by
Year
Analytic hyperbolic geometry and Albert Einstein’s special theory of relativity
AA Ungar
2942008
Beyond the Einstein addition law and its gyroscopic Thomas precession: The theory of gyrogroups and gyrovector spaces
AA Ungar
Springer Science & Business Media, 2012
2322012
Thomas rotation and the parametrization of the Lorentz transformation group
AA Ungar
Foundations of Physics Letters 1, 57-89, 1988
2221988
Analytic hyperbolic geometry: Mathematical foundations and applications
AA Ungar
World Scientific, 2005
1762005
A gyrovector space approach to hyperbolic geometry
A Ungar
Springer Nature, 2022
1622022
Thomas precession and its associated grouplike structure
AA Ungar
American Journal of Physics 59 (9), 824-834, 1991
1221991
Thomas precession: its underlying gyrogroup axioms and their use in hyperbolic geometry and relativistic physics
AA Ungar
Foundations of Physics 27 (6), 881-951, 1997
1121997
Barycentric calculus in Euclidean and hyperbolic geometry: A comparative introduction
AA Ungar
World Scientific, 2010
1082010
An improved representation of boundary conditions in finite difference schemes for seismological problems
A Ilan, A Ungar, Z Alterman
Geophysical Journal International 43 (3), 727-745, 1975
961975
Involutory decomposition of groups into twisted subgroups and subgroups
T Foguel, AA Ungar
Walter de Gruyter GmbH & Co. KG 3 (1), 27-46, 2000
872000
The relativistic velocity composition paradox and the Thomas rotation
AA Ungar
Foundations of Physics 19 (11), 1385-1396, 1989
861989
Weakly associative groups
AA Ungar
Results in mathematics 17, 149-168, 1990
751990
Hyperbolic trigonometry and its application in the Poincaré ball model of hyperbolic geometry
AA Ungar
Computers & Mathematics with Applications 41 (1-2), 135-147, 2001
732001
The relativistic noncommutative nonassociative group of velocities and the Thomas rotation
AA Ungar
Results in mathematics 16 (1), 168-179, 1989
621989
Gyrogroups and the decomposition of groups into twisted subgroups and subgroups
T Foguel, AA Ungar
Pacific journal of mathematics 197 (1), 1-11, 2001
612001
Hyperbolic triangle centers: The special relativistic approach
AA Ungar
Springer Science & Business Media, 2010
562010
Einstein’s velocity addition law and its hyperbolic geometry
AA Ungar
Computers & Mathematics with Applications 53 (8), 1228-1250, 2007
512007
The hyperbolic Pythagorean theorem in the Poincaré disc model of hyperbolic geometry
AA Ungar
The American mathematical monthly 106 (8), 759-763, 1999
511999
From Möbius to gyrogroups
AA Ungar
The American Mathematical Monthly 115 (2), 138-144, 2008
482008
Alternative fidelity measure between two states of an N-state quantum system
JL Chen, L Fu, AA Ungar, XG Zhao
Physical Review A 65 (5), 054304, 2002
462002
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