Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations by Hongyu Qin, Zhiyong Wang, Fumin Zhu, Jinming Wen

“…We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods.…”
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Cayley Bipolar Fuzzy Graphs by Noura O. Alshehri, Muhammad Akram

“…We present some interesting properties of bipolar fuzzy graphs in terms of algebraic structures. We also discuss connectedness in Cayley bipolar fuzzy graphs.…”
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Jordan Isomorphisms on Nest Subalgebras by Aili Yang

“…This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann algebras. It is shown that every Jordan isomorphism ϕ between the two nest subalgebras algMβ and algMγ is either an isomorphism or an anti-isomorphism.…”
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A note on quasi R*-invariant measures on semigroups by N. A. Tserpes

“…A characterization of quasi r*-invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*-invariant measures and the topo-algebraic structure of their support.…”
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WSN key recovery attack based on symmetric matrix decomposition by Xiangmin JI, Bo ZHAO, Jinhui LIU, Jianwei JIA, Huanguo ZHANG, Shuang XIANG

“…The key protocol is one of the crucial technologies to ensure the security for wireless sensor network（WSN）.Parakh,et al.proposed a key agreement for WSN based on matrix decomposition.However,the study revealed that the protocol had security risks.A key recovery attack scheme against this protocol was proposed by using the properties of symmetric matrix and permutation matrix.Based on intercepting the row and column vector of the node,elementary transformation was performed to construct a linear algebraic attack algorithm and the equivalent key was obtained.The computational complexity is O(N<sup>6</sup>).Experimental results show that the method can recover the equivalent key of the above protocol within the polynomial computational complexity and the memory consumption is within an acceptable range.In addition,an improved scheme for key agreement was proposed to resist the linear algebraic attack by using a random disturbance matrix,and the correctness and security analysis were also carried out.…”
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Application Assessment of OS-SART Reconstruction Algorithm with Limited Number of Projections in XCT Geometric Measurement by Kaojie Yue, Huan Shao, Stefano Petrὸ, Giovanni Moroni

“…  In industrial X-ray Computed Tomography (XCT), two primary kinds of reconstruction algorithms are utilized: the Feldkamp-Davis-Kress (FDK) algorithm and the algebraic reconstruction technique (ART) algorithms. …”
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Kinetics of quantum reaction-diffusion systems by Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto

“…We find that the system entropy features algebraic decay for confining quenches, while it saturates in deconfined scenarios.…”
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Constructions of Golomb Costas arrays and their applications in OFDM systems by Jian-guo YAO, Yu-feng WANG, Wei HENG

“…By conducting a number of researches on algebraic constructions and the auto- and cross-correlation properties of Golomb Costas arrays with 1-gap row and 1-gap column, certain theorems were confirmed. …”
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On the Measurement of the (Non)linearity of Costas Permutations by Konstantinos Drakakis

“…We study several criteria for the (non)linearity of Costas permutations, with or without the imposition of additional algebraic structure in the domain and the range of the permutation, aiming to find one that successfully identifies Costas permutations as more nonlinear than randomly chosen permutations of the same order.…”
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A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems by Jian Ma, Baodong Zheng, Chunrui Zhang

“…Firstly, by applying the matrix pencil and the linear operator methods, new algebraic criteria for the imaginary axis eigenvalue are derived. …”
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ACCELERATED ITERATIVE RECONSTRUCTION OF PHANTOM «ROZI» BY OS-SART METHOD USING ORDERED SUBSET PROJECTIONS by S. A. Zolotarev, M. M. Mieteeg, A. N. Al-Nadfa

“…The statistical maximum likelihood (EM) method and the algebraic reconstruction method with simultaneous iterations (SART) are two methods of iterative tomographic reconstruction. …”
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Noncommutative Relativistic Spacetimes and Worldlines from 2 + 1 Quantum (Anti-)de Sitter Groups by Ángel Ballesteros, N. Rossano Bruno, Francisco J. Herranz

“…Furthermore, quantum (anti-)de Sitter algebras are presented both in the known basis related to 2 + 1 quantum gravity and in a new one which generalizes the bicrossproduct one. …”
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$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters by Young Bae Jun, B. Brundha, N. Rajesh, Ravikumar Bandaru

“…The aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and  several properties, including their relations, are investigated. …”
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Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell by M. A. Sandoval-Hernandez, H. Vazquez-Leal, A. Sarmiento-Reyes, U. Filobello-Nino, F. Castro-Gonzalez, A. L. Herrera-May, R. A. Callejas-Molina, R. Ruiz-Gomez

“…In addition, a novel technique is proposed to reduce the number of algebraic operations during the process of application of ODP method through the use of the Taylor series, which help to simplify the algebraic expressions used. …”
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On the Projective Description of Weighted (LF)-Spaces of Continuous Functions by Catherine V. Komarchuk, Sergej N. Melikhov

“…We solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. …”
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Complete curves in the strata of differentials by Chen, Dawei

“…Gendron proved that the strata of holomorphic differentials with prescribed orders of zeros do not contain complete algebraic curves by applying the maximum modulus principle to saddle connections. …”
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An Application of Sombor Index over a Special Class of Semigroup Graph by Seda Oğuz Ünal

“…In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated.…”
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Stability of Runge-Kutta Methods for Neutral Delay Differential Equations by Liping Wen, Xiong Liu, Yuexin Yu

“…The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. …”
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Inner Product Fuzzy Quasilinear Spaces and Some Fuzzy Sequence Spaces by Yılmaz Yılmaz, Hacer Bozkurt, Halise Levent, Ümit Çetinkaya

“…In this study, we first developed the algebraic structure of the class of fuzzy sets Fℝn and gave definitions such as quasilinear independence, dimension, and the algebraic basis in these spaces. …”
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Natural Frequencies and Mode Shapes of Mechanically Coupled Microbeam Resonators with an Application to Micromechanical Filters by Bashar K. Hammad

“…This implies that the system of linear homogeneous algebraic equations becomes larger as the array of resonators becomes complicated. …”
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