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Formation behaviour of the kinetic Cucker–Smale model with non-compact support
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022In this paper, we focus on the formation behaviour of the kinetic Cucker–Smale model for initial datum without compact support for the position variable. Comparing with the case of compact support, the attractive force between particles is weak.
Xinyu Wang, Xiaoping Xue
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A steady Euler flow with compact support
Geometric and Functional Analysis, 2018A nontrivial smooth steady incompressible Euler flow in three dimensions with compact support is constructed. Another uncommon property of this solution is the dependence between the Bernoulli function and the pressure.
A. V. Gavrilov
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2021
Consider the problem $$\displaystyle \left \{ \begin {array}{l} \Delta _\varphi u \ge b(x)f(u)l(|\nabla u|) \qquad \text{on } \, \Omega \, \text{ end of }M, \\[0.2cm] \displaystyle u \ge 0, \qquad \lim _{x \in \Omega , \, x \rightarrow \infty } u(x) = 0. \end {array}\right .
Bruno Bianchini +3 more
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Consider the problem $$\displaystyle \left \{ \begin {array}{l} \Delta _\varphi u \ge b(x)f(u)l(|\nabla u|) \qquad \text{on } \, \Omega \, \text{ end of }M, \\[0.2cm] \displaystyle u \ge 0, \qquad \lim _{x \in \Omega , \, x \rightarrow \infty } u(x) = 0. \end {array}\right .
Bruno Bianchini +3 more
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Monotonic Smooth Takagi–Sugeno Fuzzy Systems With Fuzzy Sets With Compact Support
IEEE transactions on fuzzy systems, 2019In this paper, sufficient conditions on monotonicity of Takagi–Sugeno (T–S) fuzzy systems with linear consequent parts with smooth membership functions with compact support (i.e., equal to zero outside a compact set) are derived. The presented conditions
P. Hušek
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A Compact Imbedding Theorem for Functions without Compact Support
Canadian Mathematical Bulletin, 1971The extension of the Rellich-Kondrachov theorem on the complete continuity of Sobolev space imbeddings of the sort1to unbounded domains G has recently been under study [1–5] and this study has yielded [4] a condition on G which is necessary and sufficient for the compactness of (1).
Adams, R. A., Fournier, J.
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Malware classification using compact image features and multiclass support vector machines
IET Information Security, 2020: Malware and malicious code do not only incur considerable costs and losses but impact negatively the reputation of the targeted organisations. Malware developers, hackers, and information security specialists are continuously improving their strategies
L. Ghouti, Muhammad Imam
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Compact Leakage-Free Support for Integrity and Reliability
International Symposium on Computer Architecture, 2020The memory system is vulnerable to a number of security breaches, e.g., an attacker can interfere with program execution by disrupting values stored in memory. Modern Intel® Software Guard Extension (SGX) systems already support integrity trees to detect
Meysam Taassori +6 more
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*AIDA declarations supporting program compactness
2013 International Joint Conference on Awareness Science and Technology & Ubi-Media Computing (iCAST 2013 & UMEDIA 2013), 2013*AIDA (Star-AIDA) is a programming (modeling) language for programming in pictures. The pictures play a role of algorithmic super-characters and their compositions can be considered as compound pictures and as "super-texts." A very-high level of the super-characters allows not only to essentially decrease the algorithm representation sizes, but also to
Yutaka Watanobe, Nikolay Mirenkov
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Phi-4-Mini Technical Report: Compact yet Powerful Multimodal Language Models via Mixture-of-LoRAs
arXiv.orgWe introduce Phi-4-Mini and Phi-4-Multimodal, compact yet highly capable language and multimodal models. Phi-4-Mini is a 3.8-billion-parameter language model trained on high-quality web and synthetic data, significantly outperforming recent open-source ...
Abdelrahman Abouelenin +72 more
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Distributions with Compact Support
2010If u is locally integrable on an open set X in R n and has compact support, the integral \(u(\phi ) = \int_X {u(x)\phi (x)\ dx}\) is absolutely convergent for every \(\phi \in C^\infty (X),\) as follows from a slight adaptation of the proof of Theorem 3.5.
J. J. Duistermaat, J. A. C. Kolk
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