Results 41 to 50 of about 29,433 (197)
The syntax of nonstandard analysis
Annals of Pure and Applied Logic, 1988 The author continuous in this paper his influential study, started with the paper ``Internal set theory: a new approach to nonstandard analysis'' [Bull. Am. Math. Soc. 83, 1165-1198 (1977; Zbl 0373.02040)], of formalizations of principles of nonstandard analysis.
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Nonstandard asymptotic analysis
, 1987 This research monograph considers the subject of asymptotics from a nonstandard view point. It is intended both for classical asymptoticists - they will discover a new approach to problems very familiar to them - and for nonstandard analysts but includes
Berg, Imme
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SEQUENTIAL ENDS AND NONSTANDARD INFINITE BOUNDARIES OF COARSE SPACES (Research Trends on General Topology and its Related Fields) [PDF]
, 2022 This paper is an addendum to the author's previous paper ["A nonstandard invariant of coarse spaces, " The Graduate Journal of Mathematics, vol. 5, no. 1, pp. 1-8, 2020.]. Miller et al. [B. Miller, L. Stibich, and J. Moore, "An invariant of metric spaces
IMAMURA, TAKUMA
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Nonstandard Analysis of Graphs
, 2001 This paper shows certain classes of metric spaces characterized by volume growth properties of balls can viewed as graphs with infinitesimal edges. Our approach is based on nonstandard analysis.
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COMPUTABILITY THEORY, NONSTANDARD ANALYSIS, AND THEIR CONNECTIONS [PDF]
The Journal of Symbolic Logic, 2019 AbstractWe investigate the connections between computability theory and Nonstandard Analysis. In particular, we investigate the two following topics and show that they are intimately related.(T.1) A basic property of Cantor space$2^ $ is Heine–Borel compactness: for any open covering of $2^ $, there is a finite subcovering.
Normann, Dag, Sanders, Sam
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Time averaging for ordinary differential equations and retarded functional differential equations
Electronic Journal of Differential Equations, 2010 We prove averaging theorems for non-autonomous ordinary differential equations and retarded functional differential equations in the case where the vector fields are continuous in the spatial variable uniformly with respect to the time and the ...
Mustapha Lakrib, Tewfik Sari
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Theory of hypernumbers and extrafunctions: Functional spaces and differentiation
Discrete Dynamics in Nature and Society, 2002 The theory of hypernumbers and extrafunctions is a novel approach in functional analysis aimed at problems of mathematical and computational physics.
Mark Burgin
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Journal of Family Research, 2020 Many children live in households where either one or both parents work nonstandard schedules in the evening, night or weekend. Using a mixed methods design, this study examined whether nonstandard work schedules were linked to lower social and emotional ...
Jianghong Li +3 more
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Calculus using proximities: a mathematical approach in which students can actually prove theorems
Open Mathematics, 2017 Teaching and learning calculus are notoriously difficult and the didactic solutions may involve resorting to intuitive but vague definitions or informal gestures offered as proofs.
O’Donovan Richard
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Advances in Difference Equations, 2020 The current effort is devoted to investigating and exploring the stochastic nonlinear mathematical pandemic model to describe the dynamics of the novel coronavirus.
Wasfi Shatanawi +5 more
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