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ON SOME NONSTANDARD SOFTWARE RELIABILITY MODELS
Dynamic systems and applications, 2018The Hausdorff approximation of the shifted Heaviside function ht0(t) by sigmoidal functions based on the Song–Chang–Pham [2] cumulative functions is investigated and an expression for the error of the best approximation is obtained in this paper.
N. Pavlov +3 more
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Foundations of Physics, 1993
An elementary-particle picture developed primarily by Barut as an alternative to the standard model is re-examined. This model is formulated on the basis of strong short-range magnetic interactions among the stable particles (p, e−, v) and at present is able to account qualitatively for most of the known phenomena.
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An elementary-particle picture developed primarily by Barut as an alternative to the standard model is re-examined. This model is formulated on the basis of strong short-range magnetic interactions among the stable particles (p, e−, v) and at present is able to account qualitatively for most of the known phenomena.
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Modeling vagueness by nonstandardness
Fuzzy Sets and Systems, 1998The paper is a philosophical discussion of some possibilities to model vagueness in mathematics. For this goal, the author takes into consideration nonstandardness and demonstrates that some properties of typically vague predicates (such as ``small'') can be modelled in nonstandard models of arithmetics. The standard numbers represent ``horizon'', i.e.
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Special Model Axiom in Nonstandard Set Theory
Mathematical Logic Quarterly, 1999AbstractWe demonstrate that the special model axiom SMA of Ross admits a natural formalization in Kawai's nonstandard set theory KST but is independent of KST. As an application of our methods to classical model theory, we present a short proof of the consistency (with ZFC) of the existence of a k+ like k‐saturated model of PA for a given cardinal k.
Kanovei, Vladimir, Reeken, Michael
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Model-independent analysis of nonstandard vertex parameters
Physical Review D, 1994We focus on two observables, whose experimental determination has been recently greatly improved at CERN LEP 1, that provide an operational definition of two new genuine vertex parameters called [delta][sub 1],[delta][sub 2]. No other conventional'' parameters appear in the theoretical expressions.
, Layssac, , Renard, , Verzegnassi
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The nonstandard λ:φ24(x): model. II. The standard model from a nonstandard point of view
Journal of Mathematical Physics, 1972As a second step in the construction of the nonstandard λ:φ24: model we analyze Glimm and Jaffe's work from the nonstandard point of view.
Peter J. Kelemen, Abraham Robinson
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On the nonstandard finite difference method for reaction–diffusion models
Chaos, Solitons & Fractals, 2023Syed Ahmed Pasha, Yasir Nawaz, M. Arif
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Learning Accurate Representation to Nonstandard Tensors via a Mode-Aware Tucker Network
IEEE Transactions on Knowledge and Data EngineeringA nonstandard tensor is frequently adopted to model a large-sale complex dynamic network. A Tensor Representation Learning (TRL) model enables extracting valuable knowledge form a dynamic network via learning low-dimensional representation of a target ...
Hao Wu, Qu Wang, Xin Luo, Zidong Wang
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Nonstandard model of the expanding universe
International Journal of Theoretical Physics, 1992A reformulation of general relativity is proposed with the relativity principle being invalid. Consequently the space-time manifold carries a natural (1+3)-foliation, where the foliation variables supersede the metric as the fundamental object. The Einstein equations become modified by some kind of foliation energy, but otherwise remain part of the ...
M. Mattes, M. Sorg
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