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The Essentials of Clifford Algebras with Maple Programming

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
Clifford algebra (geometric algebra) which has many applications in physics, robotics, CAD (Computer-Aided Design) /CAM (Computer-Aided Manufacture), computer graphics, image processing, etc. is one of the important subjects in mathematics. In this paper,
Mutlu Akar
doaj   +1 more source

Generalised Onsager Algebra in Quantum Lattice Models

open access: yesSciPost Physics, 2022
The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph Temperley-Lieb algebra, and a generalisation of the Onsager ...
Yuan Miao
doaj   +1 more source

The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
Many of the asymmetric cryptography protocols are based on operations performed on commutative algebraic structures, which are vulnerable to quantum attacks.
Chukanov, Sergei N.
doaj   +1 more source

Real Clifford Algebras and Their Spinors for Relativistic Fermions

open access: yesUniverse, 2021
Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed.
Stefan Floerchinger
doaj   +1 more source

Clifford Fuzzy Support Vector Machine for Regression and Its Application in Electric Load Forecasting of Energy System

open access: yesFrontiers in Energy Research, 2021
Electric load forecasting is a prominent topic in energy research. Support vector regression (SVR) has extensively and successfully achieved good performance in electric load forecasting.
Rui Wang   +3 more
doaj   +1 more source

Hodge operator and asymmetric fluid in unbounded domains

open access: yesRevista Integración, 2009
A system of equations modeling the stationary flow of an incompressible asymmetric fluid is studied for bounded domains of an arbitrary form. Based on the methods of Clifford analysis, we write the system of asymmetric fluid in the hypercomplex ...
I. kondrashuk   +2 more
doaj   +4 more sources

Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx   +2 more
doaj   +1 more source

UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra

open access: yesIEEE Access, 2019
Image segmentation is widely used in the field of agriculture to improve the yields and protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also contributing to the inter and intra crop monitoring.
Prince Waqas Khan   +4 more
doaj   +1 more source

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018
In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semigroups such as Brandt semigroup, and ...
Olufemi Johnson Ogunsola   +1 more
doaj   +1 more source

Contractions on ranks and quaternion types in clifford algebras

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element.
Dmitry S Shirokov
doaj   +1 more source

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