Results 51 to 60 of about 588,055 (168)

Fehrele's principle in nonstandard topology

open access: yes, 2019
In nonstandard analysis, Fehrele's principle is a beautiful criterion for a set to be internal, stating that every galactic halic set is internal. In this note, we use this principle to prove some well-known results in topology, including slight generalisations of the Moore-Osgood theorem and Dini's theorem.
openaire   +2 more sources

Games Between Players With Dual‐Selves

open access: yesInternational Economic Review, Volume 67, Issue 1, Page 329-351, February 2026.
ABSTRACT Human decision making often seems to be determined by the resolution of intrapersonal conflict. This paper conceptualizes the analysis of decisions governed by such dual‐self processes in individual decision contexts and strategic interactions.
Simon Dato   +2 more
wiley   +1 more source

Nonstandard topologies with bases that consist only of standard sets [PDF]

open access: yesProceedings of the American Mathematical Society, 2000
Summary: Let \(X\) be an infinite set, \(D\) a set of pseudo-metrics on \(X\), \(\Xi\subset^*X\), and \(\Gamma\subset^* D\). If \(\rho(a,b)\) is limited (finite) for every \(a,b\in\Xi\) and every \(\rho\in\Gamma\), then, for each \(\rho\in\Gamma\), we can define a pseudo-metric \(\widetilde\rho\) on \(\Xi\) by writing \(\widetilde\rho(a,b)= \text{st ...
openaire   +2 more sources

Ultrafast Adhesion/Friction Bidirectionally Switchable Control by Vibration

open access: yesAdvanced Functional Materials, Volume 36, Issue 8, 26 January 2026.
Bioinspired gradient smooth architectures enable vibration‐switchable adhesion/friction with 62.02 kPa adhesion strength, 131.57 kPa shear strength, tilt angles ≥ 3°, roughness ≥ Ra 0.8 µm, 400 Hz antivibration robustness, and dual‐mode control. The synergy of geometry optimization and vibration modulation tuning bridges multidomain adaptability and ...
Jian Chen   +10 more
wiley   +1 more source

Leibniz's Principles and Topological Extensions

open access: yes, 2010
Three philosophical principles are often quoted in connection with Leibniz: "objects sharing the same properties are the same object", "everything can possibly exist, unless it yields contradiction", "the ideal elements correctly determine the real ...
Forti, Marco
core  

Embedding Topological $n$-Manifolds into Compact Nonstandard Topological $n$-Manifolds with Boundary

open access: yes, 2021
We show as a main message that there is a simple dimension-preserving way to openly and densely embed every topological manifold into a compact ``nonstandard'' topological manifold with boundary.This class of ``nonstandard'' topological manifolds with boundary contains the usual topological manifolds with boundary.In particular,the Alexandroff one ...
openaire   +2 more sources

Molecular Simulations of Polymer‐based Drug Nanocarriers: From Physical and Structural Properties to Controlled Release

open access: yesAdvanced Healthcare Materials, Volume 15, Issue 4, 26 January 2026.
Polymer‐based drug delivery systems can effectively overcome the limitations of free drugs in terms of solubility, stability, and plasma half‐life, yet their development has traditionally relied on time‐consuming trial‐and‐error approaches. This review highlights recent advances in applying molecular simulation to the design of polymer‐based drug ...
Ping Gao   +4 more
wiley   +1 more source

Nonstandard methods in large-scale topology II

open access: yes, 2020
This paper is a sequel of Imamura (2019) (arXiv:1711.01609) where we set up a framework of nonstandard large-scale topology. In the present paper, we apply our framework to various topics in large-scale topology: spaces having with both small-scale and large-scale structures, large-scale structures on nonstandard extensions, size properties of subsets ...
openaire   +2 more sources

Nonstandard Topology on R

open access: yes, 2015
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ordered field of nonstandard real numbers (or simply hyperreals) has been introduced. It extends the reals . The hyperreals properties and the main topological definitions for with the standard topology have been presented in the nonstandard context ...
Habil, Eissa D., Ghneim, Ahmed A.
openaire  

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