Fuzzy Hypervector Spaces by R. Ameri, O. R. Dehghan

“…In this regard, by considering the notion of fuzzy hypervector spaces, we characterized a fuzzy hypervector space based on its level sub-hyperspace. The algebraic nature of fuzzy hypervector space under transformations is studied. …”
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The Order of Hypersubstitutions of Type (2,1) by Tawhat Changphas, Wonlop Hemvong

“…There is a Galois connection between monoids of hypersubstitutions and sublattices of the lattice of all varieties of algebras of a given type. Therefore, it is interesting and useful to know how semigroup or monoid properties of monoids of hypersubstitutions transfer under this Galois connection to properties of the corresponding lattices of 𝑀-solid varieties. …”
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Accurate 2-D AOA Estimation and Ambiguity Resolution for a Single Source under Fixed Uniform Circular Arrays by Le Zuo, Jin Pan

“…This paper presents an analytic algorithm for accurate two-dimensional (2-D) angle of arrival (AOA) estimation of a single source under fixed uniform circular arrays (UCAs). Algebraic and explicit formulations for 2-D AOA estimation are first developed in the Fourier domain. …”
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Efficient Synthesis of Large Finite Patch Arrays for Scanning Wide-Angle Anomalous Reflectors by Sravan Kumar Reddy Vuyyuru, Risto Valkonen, Sergei A. Tretyakov, do-Hoon Kwon

“…Anomalous reflection into an arbitrary desired angle using purely reactive loads is numerically and experimentally validated. Owing to the algebraic nature of load optimization, the design methodology may be applied to the synthesis of large-scale reflectors of practical significance.…”
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Consensus Information Filtering for Large-Scale Systems with Application to Heat Conduction Process by Liguo Zhang, Ying Lyu

“…On diffusion processing, we fuse the common state estimations of the local information filters using consensus averaging algorithms and algebraic graph theory. Stability and performance analysis is provided for this distributed filtering algorithm. …”
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Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control by J. Humberto Pérez-Cruz, Pedro A. Tamayo-Meza, Maricela Figueroa, Ramón Silva-Ortigoza, Mario Ponce-Silva, R. Rivera-Blas, Mario Aldape-Pérez

“…The controller development is based on an algebraic Riccati equation. If the gain matrix and the matrices of Riccati equation are selected in such a way that a unique positive definite solution is obtained for this equation, then, with respect to previous works, a stronger result can be guaranteed here: the exponential convergence to zero of the synchronization error. …”
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Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams by Menglin Lou, Qiuhua Duan, Genda Chen

“…In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. Therefore, the solution process can be simplified significantly for the Timoshenko beam with arbitrary boundaries. …”
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Construction Solutions of PDE in Parametric Form by Alexandra K. Volosova, Konstantin Alexandrovich Volosov

“…In the case of two independent variables 𝑥,𝑡, then it always gives the possibility of expressing all PDE second and more order as 𝐴𝑋=𝑏. This is a linear algebraic equations system with regards derivatives to old variables 𝑥(𝜉,𝛿), 𝑡(𝜉,𝛿) on new variables 𝜉,𝛿∶(𝑥′𝜉,𝑥′𝛿,𝑡′𝜉,𝑡′𝛿). …”
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Calculer la sémantique avec le langage IEML by Pierre Lévy

“…IEML has the same expressive capacity as a natural language and has an algebraic structure allowing the calculation of its semantics. …”
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The Sum and Difference of Two Lognormal Random Variables by C. F. Lo

“…Moreover, we believe that this new approach can be extended to study both (1) the algebraic sum of N lognormals, and (2) the sum and difference of other correlated stochastic processes, for example, two correlated CEV processes, two correlated CIR processes, and two correlated lognormal processes with mean-reversion.…”
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Data aggregation based on the privacy-preserving element in wireless sensor networks by Wei-ni ZENG, Ya-ping LIN, Shi-ming HE, Jian-ping YU

“…A distributed mechanism was proposed to protect the data privacy during the data aggregation phase.The contributions of this mechanism are:1) Privacy-preserving element taking advantage of the algebraic properties of congruence was defined.In privacy-preserving elements,privacy data could be preserved without the extra data exchange,and the aggregation result could be recovered from the perturbed data in the cluster head.2)A flexible method for generating the privacy-preserving element was given.Thus,nodes could generate their privacy-preserving element without the extra data exchange,and the method was adapted to the dynamic reporting nodes.Extensive analysis showed that:compared with the centralized mechanism,the proposed mechanism has a better resistance to data loss,can avoid the single point problem and also consumes less communication overhead; compared with the other distributed mechanisms,the proposed mechanism is able to preserve privacy more efficiently while consuming less communication overhead.…”
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Mixed methods for viscoelastodynamics and topology optimization by Giacomo Maurelli, Nadia Maini, Paolo Venini

“…The resulting problem is a Differential Algebraic Equation (DAE) because of the need to introduce static Lagrange multipliers to comply with the Cauchy boundary condition on the stress. …”
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The Generalized Difference Operator Δi3 of Order Three and Its Domain in the Sequence Spaces ℓ1 and bv by Orhan Tuğ

“…Then, some topological properties of ℓ1Δi3 and bvΔi3 are given, and some inclusion relations are shown. Additionally, algebraic dual, α−, β−, and γ− dual spaces of ℓ1Δi3 and bvΔi3 are computed. …”
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Almost Existentially Closed Models in Positive Logic by Mohammed Belkasmi

“…In order to investigate the relationship between positive almost closed and positive strong amalgamation properties, we first introduce the sets of positive algebraic formulas ET and AlgT and the properties of positive strong amalgamation. …”
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On Costas Sets and Costas Clouds by Konstantinos Drakakis

“…We also give two constructive examples of a nowhere continuous function that satisfies a constrained form of the Costas property (over rational or algebraic displacements only, i.e.), based on the indicator function of a dense subset of ℝ.…”
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Higher-Stage Noether Identities and Second Noether Theorems by G. Sardanashvily

“…If gauge symmetries are algebraically closed, this operator is extended to the nilpotent BRST operator which brings the above-mentioned cochain sequence into the BRST complex and provides a BRST extension of an original Lagrangian.…”
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Formal specification and security verification of usage control model based on PAT by Cong-hua ZHOU, Wei-he CHEN, Zhi-feng LIU

“…Finally, the security analysis method based on the reachable space and the conflict analysis of access control policies based on the equivalent checking in process algebras were proposed for UCON model. All the proposed work had been formal checked in PAT. …”
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Families of jets of arc type and higher (co)dimensional Du Val singularities by de Fernex, Tommaso, Wang, Shih-Hsin

“…Families of jets through singularities of algebraic varieties are here studied in relation to the families of arcs originally studied by Nash. …”
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Classification and Localization of Mixed Sources after Blind Calibration of Unknown Mutual Coupling by Kai Wang, Ling Wang, Jian Xie, Yuexian Wang

“…In addition, the fourth-order cumulant technique is required to eliminate the Gauss colored noise effects caused by mutual coupling calibration of the raw received data vector. Finally, in an algebraic way, the results of rapid classification and localization of near-field sources are obtained without any spectral search. …”
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New Fractional Derivative Expression of the Shifted Third-Kind Chebyshev Polynomials: Application to a Type of Nonlinear Fractional Pantograph Differential Equations by Y. H. Youssri, W. M. Abd-Elhameed, H. M. Ahmed

“…The role of the tau method is to convert the pantograph differential equation with its governing initial/boundary conditions into a nonlinear system of algebraic equations that can be treated with the aid of Newton’s iterative scheme. …”
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