Results 31 to 40 of about 25,343,404 (305)
The unreasonable effectiveness of Nonstandard Analysis [PDF]
Journal of Logic and Computation, 2015 As suggested by the title, the aim of this paper is to uncover the vast computational content of classical Nonstandard Analysis. To this end, we formulate a template ${\mathfrak{C}\mathfrak{I}}$ which converts a theorem of ‘pure’ Nonstandard Analysis ...
Sam Sanders
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Systems, 2023 Under the general trend of reducing leverage and strictly controlling new implicit debts of local governments, the risk of nonstandard defaults by urban investment and development companies (UIDCs) continues to be released, which will increase the credit
Xue Yan +3 more
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An Invitation to Nonstandard Analysis and its Recent Applications
Notices of the American Mathematical Society, 2019 DOI: https://doi.org/10.1090/noti1895 approximate groups. However, its roots go back to Robinson’s formalization of the infinitesimal approach to calculus.
Isaac Goldbring, S. Walsh
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SSM: Population Health, 2021 This study investigates the link between nonstandard schedules and three psychological resources salient to working parents' parental functioning (psychological distress, work-family conflict and relationship quality).
Yixuan Zhao +4 more
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Examples and counterexamples regarding hyperfinite representations of real distributions
Examples and Counterexamples, 2022 We provide some examples and counterexamples regarding hyperfinite representations of real distributions. We examine some hyperfinite representatives of the null distribution and of the Dirac distribution, we discuss hyperfinite representations of an ...
Emanuele Bottazzi
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Mechanizing Nonstandard Real Analysis [PDF]
LMS Journal of Computation and Mathematics, 2000 AbstractThis paper first describes the construction and use of the hyperreals in the theorem-prover Isabelle within the framework of higher-order logic (HOL). The theory, which includes infinitesimals and infinite numbers, is based on the hyperreal number system developed by Abraham Robinson in his nonstandard analysis (NSA).
Fleuriot, Jacques D. +1 more
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Hyperfinite-Dimensional Representations of Canonical Commutation Relation [PDF]
, 1997 This paper presents some methods of representing canonical commutation relations in terms of hyperfinite-dimensional matrices, which are constructed by nonstandard analysis.
Hideyasu Yamashita, Hinokuma T.
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Some Nonstrandard Result of Continuous, Monotonic Functions [PDF]
مجلة التربية والعلم, 2005 The aim of this paper is to use some concepts of nonstandard analysis given by Robinson, [8], and axiomatized by Nelson,E. [6] to present a new result of continuous and monotonic function when they are defined on nonstandard sets.
I. Hamad
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A nonstandard technique in combinatorial number theory [PDF]
, 2014 In [9], [15] it has been introduced a technique, based on nonstandard analysis, to study some problems in combinatorial number theory. In this paper we present three applications of this technique: the first one is a new proof of a known result regarding
Baglini, Lorenzo Luperi
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Nonstandard Version of Intermediate Value Property
Science Journal of University of Zakho, 2017 In this paper, some new properties and results about Intermediate Value Property (IVP) via nonstandard concepts are given, and modifying some existing results to show the advantage role of nonstandard analysis tools for obtaining differed nonstandard ...
Ibrahim O. Hamad, Sami A. Hussein
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