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ABSTRACT Current prostate cancer detection methods remain limited in non‐invasiveness and specificity, prompting interest in urinary biomarkers such as sarcosine. Here, we report a urine‐powered wearable platform for non‐invasive sarcosine detection as a proof‐of‐concept for decentralized early warning.
Jing Xu +10 more
wiley +1 more source
Here, we demonstrate and investigate polarization‐enabled electromechanical responses in cryogenic physical vapor deposition (cryogenic PVD)‐deposited TexSe1‐x thin films, a tellurium‐based compound with a tunable bandgap and enhanced non‐centrosymmetry.
Chia‐Chen Chung +16 more
wiley +1 more source
A Note on Locally Quasi-Uniform Spaces
AbstractLocally quasi-uniform spaces are studied, and it is shown that a topological space (X, t) admits exactly one compatible locally quasi-uniform structure if and only if t is finite.
Hicks, Troy L., Huffman, Shirley M.
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Entropy on quasi-uniform spaces
Acta Mathematica Hungarica, 2023\textit{R. Bowen} [Trans. Am. Math. Soc. 153, 401--414 (1971; Zbl 0212.29201)] defined the notion of entropy for uniformly continuous self-maps of metric spaces. Bowen's entropy coincides with the topological entropy when the metric space is compact. In this paper, modifying the notion of entropy by Bowen, the authors introduce a new notion of entropy,
Olivier Olela Otafudu
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AbstractAn example is given of a topological space that does not admit a strongly complete quasi-uniform structure.
Huffman, Shirley M. +2 more
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On -fuzzy quasi-uniform spaces
Fuzzy Sets and Systems, 2007Let \(L,M\) be completely distributive lattices. For each set \(X\), \(H(L^X)\) denotes the set of all join-preserving functions \(d:L^X\to L^X\) such that \(A\leq d(A)\) for all \(A\in L^X\). An \((L,M)\)-quasi-uniformity on a set \(X\) is a map \(H(L^X)\to M\) subject to certain conditions.
Yueli Yue, Fu-Gui Shi
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Bicompletion of Lowen fuzzy quasi-uniform spaces
Fuzzy Sets and Systems, 2003The author sticks to the definition of Katsaras for \(I\)-fuzzy quasi-uniformities as a fuzzification of the entourage approach to quasi-uniformities by dropping the symmetry condition of Lowen's \(L\)-fuzzy uniformity (where \(L=I=[0,1])\). The construction of the bicompletion of \(I\)-fuzzy quasi-uniform spaces is done as a generalization of the ...
Kamal El-Saady
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Finite Topological Spaces and Quasi-Uniform Structures
In [6], H. Sharp gives a matrix characterization of each topology on a finite set X = {x1, x2,…, xn}. The study of quasi-uniform spaces provides a more natural and obviously equivalent characterization of finite topological spaces. With this alternate characterization, results of quasi-uniform theory can be used to obtain simple proofs of some of the ...
P. Fletcher
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Quasi-uniform completions of partially ordered spaces [PDF]
In this paper we define partially ordered quasi-uniform spaces (X, U, ≤) (PO-quasi-uniform spaces) as those spaces with a biconvex quasi-uni- formity U on the poset (X, ≤) and give a construction of a (transitive) biconvex compatible quasi-uniformity on ...
David Buhagiar
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