Results 21 to 30 of about 596 (183)

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
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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
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Applications of Clifford’s Geometric Algebra [PDF]

Advances in Applied Clifford Algebras, 2013
26 pages, 91 ...
Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe   +2 more
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Skew Clifford algebras

Journal of Pure and Applied Algebra, 2019
We introduce a generalization, called a skew Clifford algebra, of a Clifford algebra, and relate these new algebras to the notion of graded skew Clifford algebra that was defined in 2010. In particular, we examine homogenizations of skew Clifford algebras, and determine which skew Clifford algebras can be homogenized to create Artin-Schelter regular ...
Cassidy, Thomas, Vancliff, Michaela
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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

Global surpluses of spin-base invariant fermions

Physics Letters B, 2015
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
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Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays

Complexity, 2019
In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays. Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity
Yongkun Li, Jianglian Xiang
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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
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Aggregation and the Structure of Value

Noûs, Volume 60, Issue 3, Page 619-644, September 2026.
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley   +1 more source

Riemann Boundary Value Problem for Triharmonic Equation in Higher Space

The Scientific World Journal, 2014
We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: Δ3[u](x)=0, x∈Rn∖∂Ω, u+(x)=u-(x)G(x)+g(x), x∈∂Ω, (Dju)+(x)=(Dju)-(x)Aj+fj(x), x∈∂Ω, u(∞)=0, where (j=1,…,5)  ∂Ω is a Lyapunov surface in ...
Longfei Gu
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