Results 21 to 30 of about 22,057,611 (283)
On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
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A constructive approach to nonstandard analysis
Annals of Pure and Applied Logic, 1995 The author introduces a constructive theory that may be useful in developing some of the areas of elementary nonstandard analysis. The theory is a conservative extension of \(\mathbf {HA}^\omega+ \mathbf {AC}\). The author adjoins a predicate, much as is done in Nelson's internal set theory, that distinguishes standard objects.
PALMGREN, E,
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Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version) [PDF]
Neutrosophic Sets and Systems, 2022 In the fifth version of our response-paper [26] to Imamura’s criticism, we recall that NonStandard Neutrosophic Logic was never used by neutrosophic community in no application, that the quarter of century old neutrosophic operators (1995-1998 ...
Florentin Smarandache
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Nonstandard analysis in topology: nonstandard and standard compactifications [PDF]
Journal of Symbolic Logic, 2000 AbstractLet (X, T) be a topological space and *X a nonstandard extension of X. Sets of the form *G. where G ∈ T, form a base for the “standard” topology ST on *X. The topological space (*X, ST) will be used to study compactifications of (X, T) in a systematic way.
Salbany, S., Todorov, Todor D.
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Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2022 Various technical and other realworld systems can be modelled with decent precision as linear systems. This approach is the core of the long established control theory, whose mathematical apparatus is ubiquitous when it comes to controlling some kind of
Михайло Дмитрович Міщенко
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Harmonic analysis using methods of nonstandard analysis [PDF]
, 2015 Throughout this research we use techniques of nonstandard analysis to derive and interpret results in classical harmonic analysis particularly in topological (metric) groups and theory of Fourier series.
Lak, Rashad Rashid Haji
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NONSTANDARD COMPLETION OF NON-COMPLETE METRIC SPACE
Zanco Journal of Pure and Applied Sciences, 2021 Our aim in this study is to establishing nonstandard foundations, definitions and theorems for completion a noncomplete metric spaces. We have a lot of space or sets X which agree with all usual properties of complete, except at a small size subset
Ala O. Hassan, Ibrahim O. Hamad
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Algorithm and proof as Ω-invariance and transfer: A new model of computation in nonstandard analysis [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We propose a new model of computation based on nonstandard analysis. Intuitively, the role of "algorithm" is played by a new notion of finite procedure, called Omega-invariance and inspired by physics, from nonstandard analysis.
Sam Sanders
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Mathematics, 2021 Discussions are presented by Morita and Sato in Mathematics 2017; 5, 62: 1–24, on the problem of obtaining the particular solution of an inhomogeneous ordinary differential equation with polynomial coefficients in terms of the Green’s function, in the ...
Tohru Morita, Ken-ichi Sato
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A Study on Pre-service Teachers' Discourse about Infinitesimals, Infinite Numbers, and Limits
Journal of Educational Research in Mathematics, 2021 This study investigated seven pre-service teachers’ (who studied analysis) conceptions about infinitesimals, infinite numbers, and explanation methods of limits. Some pre-service teachers thought that infinitesimals and infinite numbers existed.
Seungju Baek, Jihyun Lee
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