Results 21 to 30 of about 1,222,252 (287)
Representation of a gauge field via intrinsic “BRST” operator
Physics Letters B, 2015 We show that there exists a representation of a matrix-valued gauge field via intrinsic “BRST” operator assigned to matrix-valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang–Mills theory.
Igor A. Batalin, Peter M. Lavrov
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Frobenius manifolds and Frobenius algebra-valued integrable systems [PDF]
, 2017 The notion of integrability will often extend from systems with scalar-valued fields to systems with algebra-valued fields. In such extensions the properties of, and structures on, the algebra play a central role in ensuring integrability is preserved ...
Strachan, Ian A.B., Zuo, Dafeng
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Asymptotic behavior of Clifford-valued dynamic systems with D-operator on time scales
Advances in Difference Equations, 2021 In this paper, a general class of Clifford-valued neutral high-order neural network (HNN) with D-operator on time scales is investigated. In this model, time-varying delays and continuously distributed delays are taken into account.
Chaouki Aouiti +3 more
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ε-arithmetics for real vectors and linear processing of real vector-valued signals
Journal of Information and Intelligence, 2023 In this paper, we introduce a new concept, namely ε-arithmetics, for real vectors of any fixed dimension. The basic idea is to use vectors of rational values (called rational vectors) to approximate vectors of real values of the same dimension within ε ...
Xiang-Gen Xia
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The specialization index of a variety over a discretely valued field [PDF]
, 2015 Let $X$ be a proper variety over a henselian discretely valued field. An important obstruction to the existence of a rational point on $X$ is the index, the minimal positive degree of a zero cycle on $X$.
Kesteloot, Lore, Nicaise, Johannes
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On the continuity of the vector valued and set valued conditional expectations
International Journal of Mathematics and Mathematical Sciences, 1989 In this paper we study the dependence of the vector valued conditional expectation (for both single valued and set valued random variables), on the σ–field and random variable that determine it. So we prove that it is continuous for the L1(X) convergence
Nikolaos S. Papageorgiou
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Beni-Suef University Journal of Basic and Applied Sciences, 2017 In this paper, a novel hybrid method based on interval-valued fuzzy neural network for approximate of interval-valued fuzzy regression models, is presented. The work of this paper is an expansion of the research of real fuzzy regression models.
Somaye Yeylaghi +2 more
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Vector valued hermitian and quaternionic modular forms [PDF]
, 2014 Extending the method of the paper [FS3] we prove three structure theorems for vector valued modular forms, where two correspond to 4-dimensional cases (two hermitian modular groups, one belonging to the field of Eisenstein numbers, the other to the field
Freitag, Eberhard +1 more
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Business Value From Intelligent Fields [PDF]
Proceedings of SPE Intelligent Energy Conference and Exhibition, 2010 Abstract The Smart Fields programme has been active in Shell over the last decade and has given large benefits. In order to understand the value and to underpin strategies for the future implementation programme, a study was carried out to quantify the benefits to date.
Frans van Berg +3 more
openaire +2 more sources
, 1996 A free lattice fermion field theory in 1+1 dimensions can be interpreted as SOS-type model, whose spins are integer-valued. We point out that the relation between these spins and the fermion field is similar to the abelian bosonization relation between ...
Affleck +22 more
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