Results 51 to 60 of about 29,433 (197)
A nonstandard characterization of regular surfaces
, 2007 In the present work we approach the study of surfaces using Nonstandard Analysis, by providing first a nonstandard characterization of a surface.
Almeida, R
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On the connection between Nonstandard Analysis and Constructive Analysis [PDF]
, 2013 Constructive Analysis and Nonstandard Analysis are often characterized as completely antipodal approaches to analysis. We discuss the possibility of capturing the central notion of Constructive Analysis (i.e.
Sanders, Sam
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The Caccioppoli ultrafunctions
Advances in Nonlinear Analysis, 2017 Ultrafunctions are a particular class of functions defined on a hyperreal field ℝ∗⊃ℝ{\mathbb{R}^{\ast}\supset\mathbb{R}}. They have been introduced and studied in some previous works [2, 6, 7].
Benci Vieri +2 more
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Combinatorial principles in nonstandard analysis
Annals of Pure and Applied Logic, 2003 One of the more significant concepts within nonstandard analysis is the notion of \(\kappa\)-saturation. Associated with \(\kappa\)-saturation is the Henson isomorphism property \(\text{IP}(\kappa)\). Another saturation principle is the special model axiom \(\text{SMA}(\kappa).\) The first author of this paper initiated the study of combinatorial ...
DI NASSO, MAURO, HRBACEK K.
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Nonstandard tools of nonsmooth analysis [PDF]
Journal of Applied and Industrial Mathematics, 2012 This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system.
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Nonstandard Foundations of Equilibrium Search Models [PDF]
We develop an equilibrium sequential search model which includes most of the literature as special cases. In particular, the model can accommodate heterogeneity in buyers’ search costs and demand functions and firms’ cost functions, with general demand ...
Michael T. Rauh
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A sheaf-theoretic foundation for nonstandard analysis
, 1997 A new foundation for constructive nonstandard analysis is presented. It is based on an extension of a sheaf-theoretic model of nonstandard arithmetic due to I. Moerdijk. The model consists of representable sheaves over a site of filter bases. Nonstandard
Palmgren, Erik
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Generalized solutions of variational problems and applications
Advances in Nonlinear Analysis, 2018 Ultrafunctions are a particular class of generalized functions defined on a hyperreal field ℝ*⊃ℝ{\mathbb{R}^{*}\supset\mathbb{R}} that allow to solve variational problems with no classical solutions.
Benci Vieri +2 more
doaj +1 more source
Systematic risk analysis: first steps towards a new definition of beta [PDF]
We suggest a new model-free definition of the beta coefficient, which plays an important rôle in systematic risk management. This setting, which is based on the existence of trends for financial time series via nonstandard analysis (Fliess M., Join C.: A
Michel Fliess, Cédric Join
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Nonstandard analysis and differentiable manifolds - Foundations [PDF]
, 2009 We approach the study of di erentiable manifolds modeled on Banach spaces by means of Nonstandard Analysis. We stay inside the category of classical manifolds and using nonstandard analysis techniques, we present some new nonstandard characterizations ...
Almeida, R
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