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Coarse Topologies in Nonstandard Extensions via Separative ultrafilters [PDF]
Illinois Journal of Mathematics, 1983 *As far as we know, it is an open question whether *X can be To when X is infinite and * is Ol-saturated. However, with the help of extra set theory (notably Martin’s Axiom (MA) and the Continuum Hypothesis (CH)), we can construct extensions * in which *X can be To (even Tichonov) for a large class of spaces X.
Bankston, Paul
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Fuzzy-Logic-Controlled Hybrid Active Filter for Matrix Converter Input Current Harmonics
Energies, 2022 The proliferation of matrix converter interfaces coupled with traditional loads produces nonstandard and high-frequency harmonics in the range of (2 to 150) kHz in the power system.
Asare Koduah, Francis Boafo Effah
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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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International Transactions on Electrical Energy Systems, 2022 Vector control of an asynchronous machine is traditionally accomplished by analogizing it to a separately excited DC machine. It provides decoupled torque and flux control that is perpendicular to each other, ensuring that neither vector interferes with ...
Belqasem Aljafari +3 more
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The nonstandard theory of topological vector spaces [PDF]
Transactions of the American Mathematical Society, 1972 In this paper the nonstandard theory of topological vector spaces is developed, with three main objectives: (1) creation of the basic nonstandard concepts and tools; (2) use of these tools to give nonstandard treatments of some major standard theorems; (3) construction of the nonstandard hull of an arbitrary topological vector space, and the beginning ...
Henson, C. Ward, Moore, L. C. jun.
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A Neutrosophic Topological Framework for AIGC-Driven Digital Media Content Automated Generation Technology [PDF]
Neutrosophic Sets and SystemsCurrent artificial intelligence systems for content generation are limited by their reliance on deterministic or probabilistic logic, often failing to represent uncertainty, contradictions, or context-dependent interpretations.
Xiaoxia Pan
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Advances in Difference Equations, 2019 This paper is concerned with the stability of a discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay, where the dispersal of both predators and prey is considered.
Jiqiang Feng, Zhiqiang Zhao
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Nonstandard topological extensions [PDF]
Bulletin of the Australian Mathematical Society, 1975 This paper investigates the nonstandard theory of filters on a non-empty meet-semi-lattice of sets and applies this theory to the general study of topological extensionsYfor a spaceX.In particular, we apply this theory to Baire and quasi-H-closed extensions as well as Wallman type compactifications.
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Finite Embeddability of Sets and Ultrafilters [PDF]
, 2015 A set A of natural numbers is finitely embeddable in another such set B if every finite subset of A has a rightward translate that is a subset of B. This notion of finite embeddability arose in combinatorial number theory, but in this paper we study it ...
Blass, Andreas, Di Nasso, Mauro
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由度量空间诱导的*-拓扑和s-拓扑(* -Topology and s-topology induced by metric space)
Zhejiang Daxue xuebao. Lixue ban, 2018 This paper studies * -topology and s-topology in polysaturated nonstandard model,which are induced by metric space on two nonstandard sets. In order to construct * -topology , the set of finite points is introduced.
SHIYanwei(史艳维) +1 more
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