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Topological and Nonstandard Extensions

Monatshefte f�r Mathematik, 2004
The authors describe a general topological framework that encompasses both the Stone-Čech compactification of a discrete space \(X\) and the ``nonstandard extensions'' of \(X\), in the sense of nonstandard analysis. The basic notion is that of topological extension of a set \(X\), consisting of two ingredients; (i) a \({\mathbf T}_i\) space \(X ...
DI NASSO, MAURO, FORTI, MARCO
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Nonstandard Analysis and Topology

1997
In what follows, I will use the phrase “In a nonstandard extension” to mean we employ a superstructure which is a nonstandard extension of the structure with which we are working. That structure will at least contain the real numbers. We will write *ℕ∞ for *ℕ\ℕ.
P. Loeb
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An Effective Protection Coordination Scheme for Networked Microgrids Based on Nonstandard Tripping Characteristics of DOCRs

IEEE Systems Journal, 2023
Design of protection schemes in multiple interlinked microgrids is a difficult task, owing to changes in operating topology of the system. A microgrid can function in island mode, or can operate in conjunction with another autonomous microgrid, or get ...
Suman Biswal, S. Samantaray
semanticscholar   +1 more source

Topology optimization method for two-dimensional structures via a hybrid-mixed stress formulation

STUDIES IN ENGINEERING AND EXACT SCIENCES
This paper explores the application of the Hybrid-Mixed Stress Formulation (HMSF) in the Topology Optimization Method (TOM), a technique for optimizing material distributions in structures.
H. Coutinho, Wesley Góis, L. Navarro
semanticscholar   +1 more source

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