Unifying error-correcting code/Narain CFT correspondences via lattices over integers of cyclotomic fields by Shun'ya Mizoguchi, Takumi Oikawa

“…This code-lattice construction is redescribed in terms of root and weight lattices of Lie algebras, which allows to construct lattices for codes over rings Zq with non-prime q. …”
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Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties by Lu Wang

“…After manipulating the curvature and torsion of the spatial curve algebraically, the correlation between geometric design variables and crash rate was ultimately established. …”
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Cycle Intersection for SOp,q-Flag Domains by Faten Abu Shoga

“…A real form G0 of a complex semisimple Lie group G has only finitely many orbits in any given compact G-homogeneous projective algebraic manifold Z=G/Q. A maximal compact subgroup K0 of G0 has special orbits C which are complex submanifolds in the open orbits of G0. …”
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Nonlinear Normal Modes in a Two-Stage Isolator Using a Modified Finite-Element Galerkin Method by Cheng Li, Hongguang Li

“…A Galerkin projection of the governing equations for the approximate invariant manifolds yields a set of nonlinear algebraic equations in expansion coefficients, which can be solved numerically with a general choice of zero as initial guess for the cases in this work. …”
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Influence of Turbulent Scalar Mixing Physics on Premixed Flame Propagation by H. Kolla, N. Swaminathan

“…The influence of reactive scalar mixing physics on turbulent premixed flame propagation is studied, within the framework of turbulent flame speed modelling, by comparing predictive ability of two algebraic flame speed models: one that includes all relevant physics and the other ignoring dilatation effects on reactive scalar mixing. …”
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Adaptive Fuzzy Consensus Tracking Control for Nonlinear Multiagent Systems with Time-Varying Delays and Constraints by Jie Lan, Tongyu Xu

“…Based on Lyapunov stability theory and algebraic graph theory, the constructed tracking control can ensure states within defined time-varying constraint bounds and eliminate the influence of time delays. …”
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Towards Dynamic Remote Data Auditing in Computational Clouds by Mehdi Sookhak, Adnan Akhunzada, Abdullah Gani, Muhammad Khurram Khan, Nor Badrul Anuar

“…We propose an effectual RDA technique based on algebraic signature properties for cloud storage system and also present a new data structure capable of efficiently supporting dynamic data operations like append, insert, modify, and delete. …”
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ESG IN THE REAL ESTATE VALUATIONS. A PORTFOLIO SELECTION MODEL FOR ENERGY RETROFIT PROGRAMS by Francesco Tajani, Francesco Sica, Carola Clemente, Eugenio Arbizzani

“…The model assumes the configuration of a multi-objective system built by borrowing algebraic formalisms of Operations Research, especially those of optimization algorithms. …”
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A single source theorem for primitive points on curves by Maleeha Khawaja, Samir Siksek

“…Let $n \ge 2$ . We say that an algebraic point $P \in C(\overline {K})$ has degree n if the extension $K(P)/K$ has degree n. …”
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Derivation of CaO-SiO2-Al2O3system slag viscosity equation by GP by Ri S.-C., Ra J.-H., Ryom K.-C.

“…The equation was automatically described as a simple algebraic equation with the basicity and content of Al2O3 and temperature. …”
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Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications by Abdul Razaq, Muhammad Mahboob Ahsan, Hanan Alolaiyan, Musheer Ahmad, Qin Xin

“…A novel coset graph-based algebraic method was proposed to evolve a robust and efficient S-box in order to address the challenges of strong S-box generation. …”
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A numerical approach for multi-dimensional ψ-Hilfer fractional nonlinear Galilei invariant advection–diffusion equations by M.H. Heydari, M. Razzaghi, M. Bayram

“…By applying the ψ-Hilfer fractional derivative operational matrix of the ψ-Chebyshev CFs, the classical derivatives operational matrices of the shifted CPs, and employing the collocation method, the solution of the equation under consideration is obtained by solving a system whose elements are algebraic equations. The accuracy of the presented strategy is examined by numerous examples.…”
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A Sliding Mode LCO Regulation Strategy for Dual-Parallel Underactuated UAV Systems Using Synthetic Jet Actuators by N. Ramos-Pedroza, W. MacKunis, M. Reyhanoglu

“…This difficulty is mitigated through careful algebraic manipulation in the regulation error system development, along with innovative design of the sliding surface. …”
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Dynamic Gust Load Analysis for Rotors by Yuting Dai, Linpeng Wang, Chao Yang, Xintan Zhang

“…Then, we transformed the differential aeroelastic governing equation to an algebraic one. Hence, the widely used Newton-Raphson iteration algorithm is employed to simulate the dynamic gust load. …”
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New version of Universal modeling method for centrifugal compressors calculation development by Yu. B. Galerkin, A. A. Drozdov

“…The math model of Universal modeling method is a sum of algebraic equations for calculation of head losses. …”
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Advanced ellipse overlap computation based on segment area of circles by Minhye Kim, Yongkuk Kim, Giphil Cho

“…To address the numerical limitations that may arise when calculating the overlapping area of two ellipses using algebraic and numerical methods, we propose a novel approach aimed at improving numerical accuracy. …”
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Decomposition of a Pythagorean fuzzy topological space and its application in determining topological relations between indeterminate spatial objects by Subhankar Jana, Anjali Patel, Juthika Mahanta

“…Using these definitions, the paper proposes an algebraic model, namely the pythagorean fuzzy 9-intersection matrix, to find topological relations between any two Pythagorean fuzzy sets in a Pythagorean topological space. …”
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Heat and mass transfer performance of power-law nanofluid flow with thermal radiation and joule heating aspects: Surface heat flux analysis by Mhamed Benaissa, Zia Ullah, A. Dahshan, Md Mahbub Alam, Khadijah M. Abualnaja, Hanaa Abu-Zinadah, Abdullah A. Faqihi, Nidhal Ben Khedher

“…Utilizing the similarity transformation, thermal energy, mass, and momentum are reduced to an algebraic system. Dimensionless stretching surface functions are impacted by nanofluid parameters such as magnetic parameter, thermophoresis parameter Nt, Nb, joule heating J, thermal radiation Nr, Le, and Pr. …”
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Variationally Improved Bézier Surfaces with Shifted Knots by Daud Ahmad, Kanwal Hassan, M. Khalid Mahmood, Javaid Ali, Ilyas Khan, M. Fayz-Al-Asad

“…Instead of variational minimization of usual area functional, the quasi-minimal Bézier surface with shifted knots is obtained as the solution of variational minimization of Dirichlet functional that turns up as the sum of two integrals and the vanishing condition gives us the system of linear algebraic constraints on the control points. The coefficients of these control points bear symmetry for the pair of summation indices as well as for the pair of free indices. …”
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On Decompositions of Matrices over Distributive Lattices by Yizhi Chen, Xianzhong Zhao

“…We translate the characterizations of idempotent and nilpotent matrices over a distributive lattice into the corresponding ones of the binary Boolean cases, which also generalize the corresponding structures of idempotent and nilpotent matrices over general Boolean algebras, chain semirings, fuzzy semirings, and so forth.…”
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