Results 11 to 20 of about 54,660 (273)

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, Irastorza, Ramiro M., Vericat, Fernando   +2 more
core   +2 more sources

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, A. Frouvelle, Sara Merino Aceituno, A. Trescases   +3 more
semanticscholar   +1 more source

Quaternionic representation of the genetic code [PDF]

, 2015
A heuristic diagram of the evolution of the standard genetic code is presented. It incorporates, in a way that resembles the energy levels of an atom, the physical notion of broken symmetry and it is consistent with original ideas by Crick on the origin ...
Carlevaro, C. Manuel, Irastorza, Ramiro M., Vericat, Fernando   +2 more
core   +3 more sources

The vector algebra war: a historical perspective [PDF]

, 2016
There are a wide variety of different vector formalisms currently utilized in engineering and physics. For example, Gibbs' three-vectors, Minkowski four-vectors, complex spinors in quantum mechanics, quaternions used to describe rigid body rotations and ...
Abbott, Derek, Chappell, James M., Hartnett, John G., Iqbal, Azhar   +3 more
core   +2 more sources

Quaternion lattices and quaternion fields

Archiv der Mathematik, 2023
AbstractLet $$Q_8$$ Q 8 be the quaternion group of order 8 and $${\chi }$$ χ its faithful irreducible character. Then $${\chi }$$ χ can be realized over certain imaginary quadratic number ...
openaire   +2 more sources

Adaptive Position and Attitude-Tracking Controller for Satellite Proximity Operations Using Dual Quaternions

Journal of Guidance, Control, and Dynamics, 2015
Nuno Filipe, Panagiotis Tsiotras
exaly   +2 more sources

Impurity and quaternions in nonrelativistic scattering from a quantum memory [PDF]

, 2007
Models of quantum computing rely on transformations of the states of a quantum memory. We study mathematical aspects of a model proposed by Wu in which the memory state is changed via the scattering of incoming particles. This operation causes the memory
Adler S L, Arrighi P, Deutch D, Dionisios Margetis, Dym H, Feynman R P, Hamilton W R, Heiss D, Jaeger G, Macfarlane A, Manoussos G Grillakis, Margetis D, Masujima M, Myers J M Wu T T Donkor E Pirich A R Brandt H E, Naber G L, Shah J, Ward J P, Weyl H, Wu T T Donkor E Pirich A R Brandt H E, Wu T T Donkor E Pirich A R Brandt H E   +19 more
core   +2 more sources

Camera Pose Filtering with Local Regression Geodesics on the Riemannian Manifold of Dual Quaternions [PDF]

2017 IEEE International Conference on Computer Vision Workshops (ICCVW), 2017
Time-varying, smooth trajectory estimation is of great interest to the vision community for accurate and well behaving 3D systems. In this paper, we propose a novel principal component local regression filter acting directly on the Riemannian manifold of
Benjamin Busam, Tolga Birdal, Nassir Navab   +2 more
semanticscholar   +1 more source

Dual bicomplex Horadam quaternions

, 2020
The aim of this work is to introduce a generalization of dual quaternions called dual bicomplex Horadam quaternions and to present some properties, the Binet’s formula, Catalan’s identity, Cassini’s identity and the summation formula for this type of ...
Kübra Gül
semanticscholar   +1 more source

Quaternions and Special Relativity [PDF]

, 1995
We reformulate Special Relativity by a quaternionic algebra on reals. Using {\em real linear quaternions}, we show that previous difficulties, concerning the appropriate transformations on the $3+1$ space-time, may be overcome.
De Leo S., Frobenius G., Stefano De Leo
core   +2 more sources