Some Dimensional Results of a Class of Homogeneous Moran Sets by Jingru Zhang, Yanzhe Li, Manli Lou

“…In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions. …”
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Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation by Wenjuan Rui, Yufeng Zhang

“…Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. …”
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C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type by Kengo Matsumoto

“…A Hilbert C∗-quad module of finite type has a multistructure of Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra from a Hilbert C∗-quad module of finite type and prove its universality subject to certain relations among generators. …”
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Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method by Wenjin Li, Yanni Pang

“…We introduce the Residual Power Series (for short RPS) method to construct the desired asymptotic solutions. Furthermore, we apply this method to some time-space fractional coupled systems. …”
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Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences by Abdulcabbar Sönmez, Feyzi Başar

“…Furthermore, we derive some inclusion relations determine the , , and duals of those spaces, and construct their Schauder bases. Finally, we characterize some matrix classes from the spaces , and to the spaces , , and c.…”
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Common Pollutants in Stormwater Runoff and Actions that Homeowners Can Take to Reduce Stormwater Pollution by Anthony Halcyon, Mary G. Lusk, Ann C. Wilkie

“… This publication explains what happens when stormwater runoff enters constructed environments, its impacts on water bodies, and how individuals can take steps to lower their own stormwater runoff footprint. …”
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Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras by Ying Hou, Liangyun Chen, Keli Zheng

“…In this paper, we mainly study super-bimodules on Bihom-Jordan superalgebras and present some interesting constructions from the perspective of super-bimodules. …”
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Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model by Fengyun Zhang, Funing Lin, Guangwang Su, Guangming Xue

“…With the aid of some appropriate hypotheses, a unified method and the multiplier technique are implemented to get priori estimates precisely without constructing any auxiliary function. By establishing the estimation of energy function, we derive the stability result of the global solution, and we calculate the estimations of energy attenuation in exponential and polynomial forms, respectively.…”
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Temporary Architecture for sharing by Salvator-John A. Liotta

“…The paper outlines the premises, the theories, the methodologies, the constructive peculiarities and the results of these years of collaboration.…”
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A Kato-type criterion for the inviscid limit of the nonhomogeneous NS equations with no-slip boundary condition by Shuai Xi

“…By adopting Kato's approach of constructing an artificial boundary layer [1], within a smooth and bounded domain designated as $ \Omega\subseteq\mathbb{R}^{2} $, we derive a sufficient condition for the convergence to occur uniformly in time within the energy space $ L^{2}(\Omega) $.…”
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Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses by Nina Huo, Yongkun Li

“…By using a new continuation theorem of the coincidence degree theory, the existence of antiperiodic solutions for QVSICNNs is obtained. By constructing a suitable Lyapunov function, some sufficient conditions are derived to guarantee the global exponential stability of antiperiodic solutions for QVSICNNs. …”
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Out Lag Synchronization of Fractional Order Delayed Complex Networks with Coupling Delay via Pinning Control by Weiwei Zhang, Jinde Cao, Dingyuan Chen, Ahmed Alsaedi

“…Using comparison theorem and constructing the auxiliary function, several synchronization criterions by linear feedback pinning control are presented. …”
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Evaluation of the Inductive Coupling between Equivalent Emission Sources of Components by Moisés Ferber, Sanâa Zangui, Carlos Sartori, Christian Vollaire, Ronan Perrussel, Laurent Krähenbühl

“…In this paper, a methodology to construct the equivalent model of magnetic field sources is proposed. …”
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Norm Attaining Arens Extensions on ℓ1 by Javier Falcó, Domingo García, Manuel Maestre, Pilar Rueda

“…Among other related results, we construct a multilinear form on ℓ1 with the property that only some fixed Arens extensions determined a priori attain their norms. …”
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Classical and Bayesian Inference under Burr-X Distribution Based on New Unified Progressive Hybrid Censoring Scheme with Engineering Applications by Saieed F. Ateya, Randa Alharbi, Mutua Kilai, Ramy Aldallal

“…In this paper, a new unified progressive hybrid censoring scheme UPHCS has been constructed. This unified censoring scheme covers eleven famous censoring schemes. …”
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Baczko, the Enlightenment and Promises of Happiness by Andrea Marchili

“…The Enlightenment emerges there as an ambivalent, open, unfinished process, in relation to which 20th-century history has taken on a constructive and tragic role.…”
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Some Aspects of Supersymmetric Field Theories with Minimal Length and Maximal Momentum by Kourosh Nozari, F. Moafi, F. Rezaee Balef

“…We consider a real scalar field and a Majorana fermion field to construct a supersymmetric quantum theory of free fermion fields based on the deformed Heisenberg algebra [ x , p ]  =  i ℏ ( 1 − β p + 2 β 2 p 2 ) , where β is a deformation parameter. …”
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Matrix Transformations and Quasi-Newton Methods by Boubakeur Benahmed, Bruno de Malafosse, Adnan Yassine

“…Finally, using a quasi-Newton method, we construct a sequence that converges fast to a solution of an infinite linear system.…”
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Some Reduction and Exact Solutions of a Higher-Dimensional Equation by Guangming Wang, Zhong Han

“…Finally, some exact solutions of the Zakharov-Kuznetsov equation were constructed after solving the reduced equation.…”
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The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation by Changhao Zhang, Guiying Chen

“…By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. Moreover, the elasticity of the collision between two solitons is proved by analyzing the asymptotic behavior of the two-soliton solution. …”
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