Results 231 to 240 of about 13,019 (252)
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On the Quaternion Ball and the Quaternion Projective Space
Acta Mathematica Sinica, English Series, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bulletin of the London Mathematical Society, 1985
The author proves that an \(n\times n\) matrix A with quaternion entries has a quaternion eigenvalue \(\lambda\) in the sense that \(\lambda\) I-A fails to be invertible.
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The author proves that an \(n\times n\) matrix A with quaternion entries has a quaternion eigenvalue \(\lambda\) in the sense that \(\lambda\) I-A fails to be invertible.
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SIGGRAPH Asia 2012 Courses, 2012
This intermediate-level tutorial provides an introduction to the visualization of quaternions and recent developments concerning quaternion applications to computer graphics and scientific visualization. We begin by covering the fundamental nature of quaternions, explaining where they become important in computer graphics, and describing the basic ...
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This intermediate-level tutorial provides an introduction to the visualization of quaternions and recent developments concerning quaternion applications to computer graphics and scientific visualization. We begin by covering the fundamental nature of quaternions, explaining where they become important in computer graphics, and describing the basic ...
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Journal of Mathematical Physics, 1992
The notion of quantum quaternions is introduced as a one-parametric quantum deformation of the quaternion algebra. An appriopriate noncommutative differential calculus is developed and the quantum version of the Fueter equation is founded.
MARCHIAFAVA, Stefano, Jakub Rembielinski
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The notion of quantum quaternions is introduced as a one-parametric quantum deformation of the quaternion algebra. An appriopriate noncommutative differential calculus is developed and the quantum version of the Fueter equation is founded.
MARCHIAFAVA, Stefano, Jakub Rembielinski
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Celestial Mechanics and Dynamical Astronomy, 2001
In this paper, a semi-analytical solution of the Kustaanheimo-Stiefel equation for the perturbed Kepler problem was developed. The procedure which is used, here, is capable of building the solution in a semi-analytical form serving as an efficient ``quaternionic'' processor.
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In this paper, a semi-analytical solution of the Kustaanheimo-Stiefel equation for the perturbed Kepler problem was developed. The procedure which is used, here, is capable of building the solution in a semi-analytical form serving as an efficient ``quaternionic'' processor.
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The Mathematical Intelligencer, 1996
Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these.
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Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these.
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Generalized Quaternions with Quaternion Components
The Fibonacci Quarterly, 1977openaire +1 more source

