Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations by Farah Suraya Md Nasrudin, Chang Phang

“…Hence, we transform the Prabhakar fractional differential equations into a system of algebraic equations. By solving the system of algebraic equations, we were able to obtain the numerical solution of fractional differential equations defined in Prabhakar derivative. …”
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Analysis of SI models with multiple interacting populations using subpopulations by Evelyn K. Thomas, Katharine F. Gurski, Kathleen A. Hoffman

“…In addition to creating algebraically tractable reproductive numbers and endemic equilibria, we can demonstrate the influence of the interactions between subpopulations on the basic reproductive number of the full system. …”
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On Satnoianu-Wu’s Inequality by Bo-Yan Xi

“…By applying techniques in the theory of convex functions and Schur-geometrically convex functions, the author investigates a conjecture of Satnoianu on an algebraic inequality and generalizes some known results in recent years.…”
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Double-Framed Soft Hypervector Spaces by G. Muhiuddin, Abdullah M. Al-Roqi

“…The notions of double-framed soft subfields, double-framed soft algebras over double-framed soft subfields, and double-framed soft hypervector spaces are introduced, and their properties and characterizations are considered.…”
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Eigenvalue Comparisons for Second-Order Linear Equations with Boundary Value Conditions on Time Scales by Chao Zhang, Shurong Sun

“…Using results from matrix algebras, the existence and comparison results concerning eigenvalues are obtained.…”
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Lightweight privacy protection data auditing scheme for regenerating-coding-based distributed storage by Guangjun LIU, Wangmei GUO, Jinbo XIONG, Ximeng LIU, Changyu DONG

“…To reduce the security implementation cost of the outsourcing data audit mechanism for the regenerating-coding-based distributed storage systems, an orthogonal algebraic coding method was put forward to construct a lightweight privacy-preserving audit scheme based on linear homomorphic authentication.The homomorphic authentication tags were generated with the orthogonalization between the file encoded data and the private secret key vector, and the privacy protection of the auditing response message was achieved by using the random masking that was constructed by randomizing the orthogonal basis vectors of the specific sub-vector of the user’s secret key.The work realized the effective integration of algebraic coding, privacy protection, and security auditing.Theoretical analysis shows that the proposed scheme can realize the information-theoretic security in the regenerating-coding-based storage applications.Compared with the existing works, the proposed scheme is of low computational complexity and communication overhead, and better performance advantages.…”
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Research on Adjoint Kernelled Quasidifferential by Si-Da Lin, Fu-Min Xiao, Zun-Quan Xia, Li-Ping Pang

“…Although the kernelled quasidifferential is known to have good algebraic properties and geometric structure, it is still not very convenient for calculating the kernelled quasidifferentials of −f and minfi∣i∈a finite index set I, where f and fi are kernelled quasidifferentiable functions. …”
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An Extension of Modular Sequence Spaces by Hemen Dutta, Iqbal H. Jebril

“…The main aim of this paper is to present an extension of the modular sequence spaces by means of Cesàro mean of order one, to investigate several relevant algebraic and topological properties, and derive some other spaces in the sequel.…”
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Corresponding directions line surfaces of line hypercomplex in multidimensional affine space by Jadvyga Vainavičienė

“…There are found some algebraic hypersurfaces and correspondence between the normal spaces. …”
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An asymptotic expansion of the solution of a semi-linear partial differential equation implied by a nonlinear Feynman–Kac formula by Kaori Okuma

“…Our scheme is based on Itô’s formula, Taylor’s expansion, nonlinear Feynman–Kac formula and some algebras.…”
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A class of rings which are algebric over the integers by Douglas F. Rall

“…In the main theorems of this paper, we show that any QAl-ring is a subdirect sum of prime QAl-rings, which in turn are shown to be left and right orders in division algebras which are algebraic over their prime fields.…”
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The Relations among Fuzzy t-Filters on Residuated Lattices by Huarong Zhang, Qingguo Li

“…Using the general principle, we can easily determine the relations among fuzzy t-filters on different logical algebras.…”
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Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators by Youqi Liu, Xiaofeng Wang

“…In this paper, dual spaces of large Fock spaces Fϕp with 0<p<∞ are characterized. Also, algebraic properties and equivalent conditions for compactness of weakly localized operators are obtained on Fϕp0<p<∞.…”
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Enumeration of rooted 3-connected bipartite planar maps by Noy, Marc, Requilé, Clément, Rué, Juanjo

“…Setting to zero the variable marking monochromatic edges we obtain the generating function of 3-connected bipartite maps, which is algebraic of degree 26. We deduce from it an asymptotic estimate for the number of 3-connected bipartite planar maps of the form $t\, n^{-5/2}\gamma ^n$, where $\gamma = \rho ^{-1} \approx 2.40958$ and $\rho \approx 0.41501$ is an algebraic number of degree $10$.…”
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An innovative analytical method utilizing aboodh residual power series for solving the time-fractional newell-whitehead-segel equation by Seyed Edalatpanah, Eisa Abdolmaleki

“…One of the key advantages of our approach is that the Aboodh transformation operator converts the fractional differential equation into an algebraic equation, thereby significantly reducing the computational effort required in the subsequent algebraic steps. …”
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The (16,16,2) designs by E. F. Assmus, Jr, Chester J. Salwach

“…Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k=6. …”
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Transformation groups on real plane and their differential invariants by Maryna O. Nesterenko

“…As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.…”
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Fundamental groups of proper varieties are finitely presented by Lara, Marcin, Srinivas, Vasudevan, Stix, Jakob

“…It was proven in [1], that the étale fundamental group of a connected smooth projective variety over an algebraically closed field $k$ is topologically finitely presented. …”
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Classes of I-Convergent Double Sequences over n-Normed Spaces by Nazneen Khan

“…I introduce some new classes of I-convergent double sequences defined by a sequence of moduli over n-normed space. Study of their algebraic and topological properties and some inclusion relations has also been done.…”
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Continuity in Partially Ordered Sets by Venu G. Menon

“…We show that several of the pleasing algebraic and topological properties of domains carry over to this setting.…”
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