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Singular Ramsey and Turán numbers
Theory and Applications of Graphs, 2019 We say that a subgraph F of a graph G is singular if the degrees d_G(v) are all equal or all distinct for the vertices v of F. The singular Ramsey number Rs(F) is the smallest positive integer n such that, for every m at least n, in every edge 2-coloring
Yair Caro, Zsolt Tuza
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A new characterization of Mathieu simple groups by the number of singular elements [PDF]
European Journal of Mathematics and Applications, 2023 Given a finite group $G$, let $\pi(G)$ denote the set of all primes that divide the order of $G$. For a prime $p\in \pi(G)$, we define $p$-singular elements as those elements of $G$ whose order is divisible by $p$.
Ting Ren, Rulin Shen
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The Smallest Singular Value Anomaly and the Condition Number Anomaly
Axioms, 2022 Let A be an arbitrary matrix in which the number of rows, m, is considerably larger than the number of columns, n. Let the submatrix Ai,i=1,…,m, be composed of the first i rows of A.
Achiya Dax
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Singular Turán numbers and WORM-colorings
Discussiones Mathematicae Graph Theory, 2020 A subgraph $H$ of $G$ is \textit{singular} if the vertices of $H$ either have the same degree in $G$ or have pairwise distinct degrees in $G$. The largest number of edges of a graph on $n$ vertices that does not contain a singular copy of $H$ is denoted by $T_S(n,H)$.
Gerbner, Dániel +3 more
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Bound Variable Singular They Is Underspecified: The Case of All vs. Every
Frontiers in Psychology, 2022 The goal of this article is to investigate the factors that affect the acceptability and processing of they. Previous research has sought to determine whether there are acceptability and processing differences between they/themselves with plural vs ...
Keir Moulton +6 more
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Development of the Theoretical Approach Based on Matrix Theory for Analyzing the State of Information Security Systems [PDF]
Problems of the Regional Energetics. The widespread introduction of information technologies into all spheres of society, the crea-tion of a significant amount of confidential and critical data in digital form leads to an increase in the priority of information security tasks everywhere ...
Bobok I.I., Kobozeva A.A.
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Theoretical Foundations of Digital Content Integrity Expertise [PDF]
Problems of the Regional EnergeticsIn the context of the rapid development of information technologies, their implementation in the process of functioning of critical infrastructure, in particular energy, of any state is extreme-ly relevant.
Bobok I.I., Kobozieva A.A.
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Arithmetic properties of singular overpartition pairs without multiples of k [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – In this paper, the author defines the function B¯i,jδ,k(n), the number of singular overpartition pairs of n without multiples of k in which no part is divisible by δ and only parts congruent to ± i, ± j modulo δ may be overlined.
S. Shivaprasada Nayaka +2 more
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Kinematics and Singularity Analysis of an Underwater Electric Manipulator
Kongzhi Yu Xinxi Jishu, 2023 An underwater electric manipulator is a key operational tool for unmanned underwater vehicles. The control of this manipulator demands kinematic models, but for arms of different structures, these models differ.
HUANG Zhong, LIU Kean
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Method of photomontage detection under conditions of limitations absence for photos falsification
Trudy Odesskogo Politehničeskogo Universiteta, 2016 The widespread using of fake pictures in information wars, lawsuits, politics, etc., needs to develop a new detection methods of photomontage that effective without the expert.
Вікторія Вікторівна Зоріло +3 more
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