Results 11 to 20 of about 1,087 (163)

Magnetic Monopoles in Multivector Boson Theories

Advances in High Energy Physics, 2018
A classical solution for a magnetic monopole is found in a specific multivector boson theory. We consider the model whose [SU(2)]N+1 gauge group is broken by sigma model fields (à la dimensional deconstruction) and further spontaneously broken by an ...
Koichiro Kobayashi, Nahomi Kan, Kiyoshi Shiraishi   +2 more
doaj   +2 more sources

Logarithm of multivector in real 3D Clifford algebras [PDF]

Nonlinear Analysis, 2023
Closed form expressions for a logarithm of general multivector (MV) in basis-free form in real geometric algebras (GAs) Clp,q are presented for all n = p + q = 3.
Artūras Acus, Adolfas Dargys
doaj   +6 more sources

Exponentials of general multivector in 3D Clifford algebras [PDF]

Nonlinear Analysis, 2022
Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs) Clp;q are presented for n = p + q = 3.
Adolfas Dargys, Artūras Acus
doaj   +3 more sources

Multivector and multivector matrix inverses in real Clifford algebras [PDF]

, 2016
We show how to compute the inverse of multivectors in finite dimensional real Clifford algebras Cl(p, q). For algebras over vector spaces of fewer than six dimensions, we provide explicit formulae for discriminating between divisors of zero and ...
Sangwine, SJ, Hitzer, E
core   +7 more sources

Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. [PDF]

J Appl Comput Topol, 2023
We generalize and extend the Conley-Morse-Forman theory for combinatorial multivector fields introduced in \cite{Mr2017}. The generalization consists in dropping the restrictive assumption in \cite{Mr2017} that every multivector has a unique maximal ...
Lipiński M, Kubica J, Mrozek M, Wanner T.   +3 more
europepmc   +4 more sources

Outcomes and Innervation of Gracilis for Pediatric Facial Paralysis: A Systematic Review. [PDF]

Laryngoscope
This systematic review compares innervation techniques for gracilis free muscle transfer in pediatric facial paralysis. Masseteric innervation produced the greatest commissure excursion, cross‐facial nerve grafting enabled spontaneous smiles, and dual innervation balanced both with high satisfaction and low complication rates across techniques ...
Chen K, Nguyen SA, Chun WB, Henry CM, Cheung MH, Kim CH, Hwang MS.   +6 more
europepmc   +2 more sources

An Exterior Algebraic Derivation of the Euler–Lagrange Equations from the Principle of Stationary Action

Mathematics, 2021
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action principle.
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez   +2 more
doaj   +1 more source

Multivector functions [PDF]

, 1968
In a previous paper [1], the fundamentals of differential and integral calculus on Euclidean n-space were expressed in terms of multivector algebra.
Hestenes, D
core   +1 more source

ICMP, UDP, TCP Syn Multivector DDoS attack

, 2021
ICMP, UDP, TCP Syn Multivector DDoS ...
Balazs Nagy
core   +1 more source

THE MULTI-VECTOR NATURE OF HUNGARY’S EASTERN POLICY [PDF]

Научно-аналитический вестник Института Европы РАН, 2022
The author attempts to trace the development of the eastern direction of Hungary’s foreign policy, which received the name «Opening to the East» with the return in 2010 to the Hungarian policy of Viktor Orban’s cabinet.
Lyubov N. Shishelina
doaj   +1 more source