Results 81 to 90 of about 47,372 (244)

Circles and Clifford Algebras [PDF]

Functional Analysis and Its Applications, 2004
Consider a smooth map from a neighborhood of the origin in a real vector space to a neighborhood of the origin in a Euclidean space. Suppose that this map takes all germs of lines passing through the origin to germs of Euclidean circles, or lines, or a point. We prove that under some simple additional assumptions this map takes all lines passing though
openaire   +2 more sources

Um passeio por várias álgebras na descrição do momento angular

Revista Brasileira de Ensino de Física
Resumo A forma mais comum de definir matematicamente o momento angular é através da operação de produto vetorial como definido por Josiah Willard Gibbs e ao mesmo tempo por Oliver Heaviside.
Emerson Dionísio Belançon, Samuel da Silva   +1 more
doaj   +1 more source

Szegő projections for hardy spaces of monogenic functions and applications

International Journal of Mathematics and Mathematical Sciences, 2002
We introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝn. We use such projections to obtain explicit orthogonal decompositions for L2(bΩ).
Swanhild Bernstein, Loredana Lanzani
doaj   +1 more source

Probing Clifford Algebras Through Spin Groups: A Standard Model Perspective [PDF]

, 2023
Armando Reynoso
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Monogenic Functions in Conformal Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Michael Eastwood, John Ryan
doaj  

Does Geometric Algebra Provide a Loophole to Bell’s Theorem?

Entropy, 2019
In 2007, and in a series of later papers, Joy Christian claimed to refute Bell’s theorem, presenting an alleged local realistic model of the singlet correlations using techniques from geometric algebra (GA).
Richard David Gill
doaj   +1 more source

Remarks on Q-oscillators representation of Hopf-type boson algebras

Le Matematiche, 1998
We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra ...
Anna Maria Paolucci, Ioannis Tsohantjis
doaj  

THE PROCEDURE OF THE SLIP MODELS OF POLYCRYSTALLINE PLASTICITY IN THE GENERAL CASES

Vietnam Journal of Mechanics, 1992
The computation procedure of the slip model of polycrystalline plasticity was extended for the most general cases, when the stress and strain state are expressed in the five-dimension vector space this extent ion is based on the know ledges of Clifford ...
Bui Huu Dan
doaj   +1 more source

Clifford algebras and isotropes [PDF]

, 1987
P. L. Robinson
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Clifford algebras, spinors and fundamental interactions : Twenty Years After [PDF]

, 2005
Robert Coquereaux
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