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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, 2022
In 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
semanticscholar   +1 more source

A steady Euler flow with compact support

Geometric and Functional Analysis, 2018
A 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
semanticscholar   +1 more source

The Compact Support Principle

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
openaire   +1 more source

Monotonic Smooth Takagi–Sugeno Fuzzy Systems With Fuzzy Sets With Compact Support

IEEE transactions on fuzzy systems, 2019
In 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
semanticscholar   +1 more source

A Compact Imbedding Theorem for Functions without Compact Support

Canadian Mathematical Bulletin, 1971
The 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.
openaire   +1 more source

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
semanticscholar   +1 more source

Compact Leakage-Free Support for Integrity and Reliability

International Symposium on Computer Architecture, 2020
The 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
semanticscholar   +1 more source

*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
openaire   +1 more source

Phi-4-Mini Technical Report: Compact yet Powerful Multimodal Language Models via Mixture-of-LoRAs

arXiv.org
We 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
semanticscholar   +1 more source

Distributions with Compact Support

2010
If 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
openaire   +1 more source

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