Results 31 to 40 of about 61,849 (347)
Quaternions in Collective Dynamics [PDF]
Multiscale Modeling & simulation, 2017 We introduce a model of multiagent dynamics for self-organized motion; individuals travel at a constant speed while trying to adopt the averaged body attitude of their neighbors. The body attitudes are represented through unitary quaternions.
P. Degond +3 more
semanticscholar +1 more source
Instantons and quaternions [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 We relate the moduli space of Yang-Mills instantons to quaternionic manifolds. For instanton number one, the Wolf spaces play an important role. We apply these ideas to instanton calculations in N=4 SYM theory.
openaire +3 more sources
Quaternions and the “Ausdehnungslehre” [PDF]
Nature, 1891 THE year 1844 is memorable in the annals of mathematics on account of the first appearance on the printed page of Hamilton's “Quaternions” and Grassmann's “Ausdehnungslehre.” The former appeared in the July, October, and supplementary numbers of the Philosophical Magazine, after a previous communication to the Royal Irish Academy, November 13, 1843 ...
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Obtaining the Parametric Equation of the Curve of the Sun’s Apparent Movement by Using Quaternions
Universal Journal of Mathematics and Applications, 2022 The purpose of this article is to express the daily and yearly apparent movement of the Sun in the same curve by using quaternions as a rotation operator.
Mustafa Helvacı +3 more
doaj +1 more source
A Survey on the Computation of Quaternions From Rotation Matrices
Journal of Mechanisms and Robotics, 2019 The parameterization of rotations is a central topic in many theoretical and applied fields such as rigid body mechanics, multibody dynamics, robotics, spacecraft attitude dynamics, navigation, three-dimensional image processing, and computer graphics ...
Soheil Sarabandi, F. Thomas
semanticscholar +1 more source
Quaternionic reduction and quaternionic orbifolds
Mathematische Annalen, 1988 On considere un processus de reduction pour des varietes de Kahler quaternioniques. On montre qu'il existe dans ce cas une certaine application impulsion qui se reduit a celle classique quand la courbure scalaire K de l'espace est zero (et les metriques deviennent hyperkahler).
Galicki, K., Lawson, H.B. Jr.
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Chirality in a quaternionic representation of the genetic code [PDF]
, 2015 A quaternionic representation of the genetic code, previously reported by the authors, is updated in order to incorporate chirality of nucleotide bases and amino acids.
Carlevaro, C. Manuel +2 more
core +2 more sources