Results 11 to 20 of about 47,372 (244)

Hodge operator and asymmetric fluid in unbounded domains

Revista 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, E. Notte-Cuello, M. A. Rojas-Medar   +2 more
doaj   +4 more sources

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

International 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, Nele De Schepper, Frank Sommen   +2 more
doaj   +1 more source

UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra

IEEE 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, Guangxia Xu, Muhammad Ahsan Latif, Khizar Abbas, Ammara Yasin   +4 more
doaj   +1 more source

ON FRT– CLIFFORD ALGEBRAS

Advances in Applied Clifford Algebras, 2000
LaTeX2e, 28 pages, 3 ...
Heckenberger, I., Schüler, A.
openaire   +2 more sources

Contractions on ranks and quaternion types in clifford algebras

Vestnik 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

Square root of a multivector in 3D Clifford algebras

Nonlinear Analysis, 2020
The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
doaj   +1 more source

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

Concrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
doaj   +1 more source

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Annales 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, Ifeyinwa E. Daniel   +1 more
doaj   +1 more source

Seminormal systems of operators in Clifford environments [PDF]

Opuscula Mathematica, 2017
The primary goal of our article is to implement some standard spin geometry techniques related to the study of Dirac and Laplace operators on Dirac vector bundles into the multidimensional theory of Hilbert space operators.
Mircea Martin
doaj   +1 more source

Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras

Mathematics
Clifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
doaj   +1 more source