Results 41 to 50 of about 547,685 (281)
Inverse functions of Grötzsch’s and Teichmüller’s modulus functions
The Grötzsch ring domain is the planar doubly-connected domain \(\{z:| z|
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The Wave Function and Quantum Reality
We investigate the meaning of the wave function by analyzing the mass and charge density distribution of a quantum system. According to protective measurement, a charged quantum system has mass and charge density proportional to the modulus square of its
Gao, Shan
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Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials
Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai +2 more
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Minimal growth of entire functions with prescribed zeros outside exceptional sets
Let $h$ be a positive continuous increasing to $+\infty$ function on $\mathbb{R}$.
I. Andrusyak, P. Filevych, O. Oryshchyn
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Lipschitz modulus of convex functions via function values
In this note, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of that type. The Lipschitz constants in both situations draw information solely from function values, and the global Lipschitz modulus is found when it exists.
Khanh, Pham Duy +3 more
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What Do Large Language Models Know About Materials?
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer +2 more
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On Modulus Statistical Convergence in Partial Metric Spaces
Modulus statistical convergence has been studied in very different general settings such as topological spaces and uniform spaces. In this manuscript, modulus statistical convergence is defined and studied in partial metric spaces.
Francisco Javier García-Pacheco +1 more
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Growth estimates for a Dirichlet series and its derivative
Let $A\in(-\infty,+\infty]$, $\Phi$ be a continuous function on $[a,A)$ such that for every $x\in\mathbb{R}$ we have $x\sigma-\Phi(\sigma)\to-\infty$ as $\sigma\uparrow A$, $\widetilde{\Phi}(x)=\max\{x\sigma -\Phi(\sigma)\colon \sigma\in [a,A)\}$ be the ...
S.I. Fedynyak, P.V. Filevych
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Extremal non-BPS black holes and entropy extremization
At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for ...
A. Giryavets +17 more
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Riesz Space Susing Modulus Function
The aim of this paper is to introduce the new techniques of modulus function involving the sequences of Riesz nature. Some of its basic properties has been established.
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