Results 11 to 20 of about 25,343,404 (305)
Extended Nonstandard Neutrosophic Logic, Set, and Probability Based on Extended Nonstandard Analysis [PDF]
Symmetry, 2019 We extend for the second time the nonstandard analysis by adding the left monad closed to the right, and right monad closed to the left, while besides the pierced binad (we introduced in 1998) we add now the unpierced binad—all these in order to close ...
F. Smarandache
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Computer Methods and Programs in Biomedicine, 2021 Background and objective: We propose a nonstandard computational model to approximate the solutions of a stochastic system describing the propagation of an infectious disease.
J. E. Macías-Díaz +3 more
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Alpha-theory: An elementary axiomatics for nonstandard analysis
, 2003 The methods of nonstandard analysis are presented in elementary terms by postulating a few natural properties for an infinite “ideal” number α.
V. Benci, M. Nasso
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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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Retroreflecting Curves in Nonstandard Analysis [PDF]
, 2011 We present a direct construction of retroreflecting curves by means of Nonstandard Analysis. We construct non self-intersecting curves which are of class C(1), except for a hyper-finite set of values, such that the probability of a particle being reflected from the curve with the velocity opposite to the velocity of incidence, is infinitely close to 1.
Almeida, R, Neves, V, Plakhov, A
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Ergodicity of Markov Processes via Nonstandard Analysis
Memoirs of the American Mathematical Society, 2021 The Markov chain ergodic theorem is well-understood if either the time-line or the state space is discrete. However, there does not exist a very clear result for general state space continuous-time Markov processes.
Haosui Duanmu, J. Rosenthal, W. Weiss
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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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Pθ-Topological Groups in Nonstandard Analysis [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.
Tahir Ismail +2 more
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, 2021 It is shown that the index law of the Riemann-Liouville fractional derivative is recovered when nonstandard analysis is applied, and then the solutions of Euler’s differential equation are obtained in nonstandard analysis, where infinitesimal number ε ...
T. Morita
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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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