Results 51 to 60 of about 588,055 (168)
Fehrele's principle in nonstandard topology
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.
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Games Between Players With Dual‐Selves
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]
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 ...
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Ultrafast Adhesion/Friction Bidirectionally Switchable Control by Vibration
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
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
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 ...
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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
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 ...
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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
Performance of Akaike Information Criterion and Bayesian Information Criterion in Selecting Partition Models and Mixture Models. [PDF]
Liu Q +3 more
europepmc +1 more source

