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/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; dualquaternion; visualization; fractals; geometry; graphical processing unit
Online: 12 April 2023 (06:04:14 CEST)
ARTICLE

doi:10.20944/preprints202402.0316.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Dual Quaternion; MoorePenrose inverse; ϕHermitian 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, CayleyDickson 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; PlanckKleinert crystal; Klein–Gordon; gravity; fourpotentials
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; setmembership filtering; quaternion; SMQNLMS; wind profile prediction; quaternionic adaptive beamforming
Online: 5 December 2018 (04:21:21 CET)
ARTICLE

doi:10.20944/preprints202302.0055.v5
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
foundations of physics; Dirac equation; spin; quantum theory; nonlocality; 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:
EarthCentered EarthFixed Frame; multiplicative quaternionerror 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; Cauchyelastic solid; Schrödinger and Poisson equations; quaternions; KleinGordon equatio
Online: 27 November 2020 (14:23:18 CET)
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; EulerRodrigues Frame; Split Quaternion Polynomial; MinkowskiHopf Map; Type (n, m) Curve
Online: 3 January 2023 (11:36:33 CET)
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; threedimensional number; quaternion; ket (physics); inner product; outer product; cross product; dot product; geometric algebra; vector projection; SternGerlach analyzer; Bloch sphere; General quantum state vector
Online: 30 August 2023 (02:36:14 CEST)