ARTICLE
|
doi:10.20944/preprints202304.1241.v3
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Quaternion; Quadratic Equation; Roots
Online: 9 May 2023 (04:36:31 CEST)
ARTICLE
|
doi:10.20944/preprints202010.0611.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
polynion; quaternion; octonion; sedenions; ring; algebra
Online: 29 October 2020 (12:43:22 CET)
ARTICLE
|
doi:10.20944/preprints202104.0519.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Generalized quaternion, generalized complex number, matrix representation.
Online: 19 April 2021 (22:00:00 CEST)
ARTICLE
|
doi:10.20944/preprints202409.1245.v1
Subject:
Engineering,
Aerospace Engineering
Keywords:
Stochastic H∞ filtering; Attitude determination; Quaternion; Uncertain sensor variance
Online: 16 September 2024 (14:24:05 CEST)
ARTICLE
|
doi:10.20944/preprints202403.1535.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
dual split quaternion; real representation; matrix equation; general solution
Online: 26 March 2024 (11:51:23 CET)
ARTICLE
|
doi:10.20944/preprints202402.1320.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Commutative quaternion algebra; Matrix equations; Hermitian matrix; Complex representation
Online: 22 February 2024 (15:08:30 CET)
COMMUNICATION
|
doi:10.20944/preprints202304.0246.v1
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
graphics; dual-quaternion; visualization; fractals; geometry; graphical processing unit
Online: 12 April 2023 (06:04:14 CEST)
ARTICLE
|
doi:10.20944/preprints202409.0965.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
dual generalized commutative quaternion; matrix equation; solvability conditions; general solution
Online: 12 September 2024 (11:11:34 CEST)
ARTICLE
|
doi:10.20944/preprints202408.0929.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Quaternion tensor; Sylvester tensor equation; Iterative algorithm; Color video restoration
Online: 14 August 2024 (03:05:04 CEST)
ARTICLE
|
doi:10.20944/preprints202402.0316.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Dual Quaternion; Moore-Penrose inverse; ϕ-Hermitian solution; matrix equations
Online: 6 February 2024 (09:14:30 CET)
ARTICLE
|
doi:10.20944/preprints201906.0303.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
quaternions, octonions, sedenions, Horadam numbers, Fibonacci quaternion, Cayley-Dickson algebra
Online: 29 June 2019 (10:32:29 CEST)
ARTICLE
|
doi:10.20944/preprints202107.0262.v2
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
group action; orbit decomposition; polynomial; graph; tree; triangulation; torus; automorphism; quaternion group
Online: 29 July 2021 (17:19:45 CEST)
ARTICLE
|
doi:10.20944/preprints202306.1960.v1
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Dirac equations, quaternion quantum mechanics; Planck-Kleinert crystal; Klein–Gordon; gravity; four-potentials
Online: 28 June 2023 (09:02:58 CEST)
ARTICLE
|
doi:10.20944/preprints201812.0061.v1
Subject:
Computer Science And Mathematics,
Computer Science
Keywords:
adaptive filtering; set-membership filtering; quaternion; SM-QNLMS; wind profile prediction; quaternionic adaptive beamforming
Online: 5 December 2018 (04:21:21 CET)
ARTICLE
|
doi:10.20944/preprints202410.2162.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
dual split quaternion tensor equation; Einstein product; real representation; η-Hermitian solution; Moore-Penrose inverse
Online: 29 October 2024 (09:17:54 CET)
ARTICLE
|
doi:10.20944/preprints202302.0055.v5
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
foundations of physics; Dirac equation; spin; quantum theory; non-locality; helicity; quaternion symmetry; Twistor theory
Online: 18 June 2024 (08:15:32 CEST)
ARTICLE
|
doi:10.20944/preprints202312.1434.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
p,q- Fibonacci number; p,q- Fibonacci quaternion; bicomplex fibonacci number; generating function; catalan identity
Online: 19 December 2023 (11:51:04 CET)
ARTICLE
|
doi:10.20944/preprints202012.0338.v1
Subject:
Engineering,
Control And Systems Engineering
Keywords:
Earth-Centered Earth-Fixed Frame; multiplicative quaternion-error approach; GPS navigation solutions; extended Kalman filter
Online: 14 December 2020 (13:30:13 CET)
ARTICLE
|
doi:10.20944/preprints202011.0694.v1
Subject:
Physical Sciences,
Acoustics
Keywords:
relativistic Quaternion Quantum Mechanics; Cauchy-elastic solid; Schrödinger and Poisson equations; quaternions; Klein-Gordon equatio
Online: 27 November 2020 (14:23:18 CET)
ARTICLE
|
doi:10.20944/preprints202407.2598.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Elliptic quaternion matrix; Optimal p-value; Eigen-pairs; Singular value decomposition; Pseudo-inverse; Least square solution
Online: 31 July 2024 (15:16:47 CEST)
ARTICLE
|
doi:10.20944/preprints202409.1146.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
rotations; proper and improper symmetry; general transformation; non-Cartesian system; crystal lattice; quaternion; biquaternion; computations optimization; Caylay table
Online: 16 September 2024 (12:19:40 CEST)
ARTICLE
|
doi:10.20944/preprints202301.0032.v1
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
Minkowski Pythagorean Hodograph Curve; Rational Rotation Minimizing Frame; Euler-Rodrigues Frame; Split Quaternion Polynomial; Minkowski-Hopf Map; Type (n, m) Curve
Online: 3 January 2023 (11:36:33 CET)
ARTICLE
|
doi:10.20944/preprints202410.1914.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quaternion spin; dirac field; EPR paradox; quantum coherence; wave-particle duality; antimatter; baryogenesis; Bell’ s Theory; hidden variables; quantum teleportation; quantum computing; neutrinos; parity violation; anyons; Twistor theory; quantum theory
Online: 24 October 2024 (12:40:09 CEST)
ARTICLE
|
doi:10.20944/preprints202308.1564.v2
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Spinor; vector; complex vector; spin; quantum mechanics; isotropic vectors; Hilbert space; division of vector; inversion of vector; three-dimensional number; quaternion; ket (physics); inner product; outer product; cross product; dot product; geometric algebra; vector projection; Stern-Gerlach analyzer; Bloch sphere; General quantum state vector
Online: 30 August 2023 (02:36:14 CEST)