Results 231 to 240 of about 60,854 (281)

Automated Fitting of Nonstandard Models

Multivariate Behavioral Research, 1992
A method for automated parameter estimation and testing of fit of nonstandard models for mean vectors and covariance matrices is described. Nonlinear equality and inequality constraints on the parameters of the model are allowed for. All the user will need to provide are subroutines to evaluate the mean vector and covariance matrix according to the ...
M W, Browne, S H, Du Toit
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Nonstandard big bang models

Physics Letters A, 1989
Abstract The usual FRW hot big-bang cosmologies have been generalized by considering the equation of state ϱ=Anm+(γ−1)-1p, where m is the rest mass of the fluid particles and A is a dimensionless constant. Explicit analytic solutions are given for the flat case (ϵ=0).
M.O. Calvão, J.A.S. Lima
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Nonstandard natural number systems and nonstandard models

Journal of Symbolic Logic, 1981
AbstractIt is known (see [1, 3.1.5]) that the order type of the nonstandard natural number system *N has the form ω + (ω* + ω) θ, where θ is a dense order type without first or last element and ω is the order type of N. Concerning this, Zakon [2] examined *N more closely and investigated the nonstandard real number system *R, as an ordered set, as an ...
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A nonstandard model

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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Modeling vagueness by nonstandardness

Fuzzy Sets and Systems, 1998
The 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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Construction of Satisfaction Classes for Nonstandard Models

Canadian Mathematical Bulletin, 1981
AbstractGiven a resplendent model for Peano arithmetic there exists a full satisfaction class over , i.e. an assignment of truth-values, to all closed formulas in the sense of with parameters from , which satisfies the usual semantic rules. The construction is based on the consistency of an appropriate system of -logic which is proved by an analysis ...
Kotlarski, H., Krajewski, S., Lachlan, A. H.   +2 more
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Special Model Axiom in Nonstandard Set Theory

Mathematical Logic Quarterly, 1999
AbstractWe 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, 1994
We 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, 1972
As 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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