Transformed Calculation Models in Practice of Dynamic Analysis of Fixed Offshore Platform Structures by Valerii I. Sutyrin, Elvira R. Kuzhakhmetova

“…The calculation nodes allow to take into account the vibrations of the pile foundation in the soil base. An algebraic computational procedure is proposed that allows the formation of matrices of generalized stiffness and mass coefficients. …”
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Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

“…Numerical techniques, such as the Newton-Raphson method, were integrated to handle the nonlinear algebraic equations, particularly those involving the term𝑢𝑣2. …”
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Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning by Humam Nuralam, Al Jupri, Wenda Alifulloh

“…GeoGebra assists students in visually constructing three-dimensional geometry problems and evaluating the outcomes of algebraic algorithms with 3D graphical representations. …”
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An Easy-to-Use Method for Assessing Nitrate Contamination Susceptibility in Groundwater by Daniela Ducci

“…The map combination process is straightforward, being an algebraic combination: the output values are the arithmetic average of the input values. …”
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Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators by Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang

“…In each iteration of the linearized harmonic balance method (LHBM), we simply solve a small-size linear system to determine the Fourier coefficients and the vibration frequency. Because the algebraic manipulations required for the LHBM are quite saving, it converges fast with a few iterations. …”
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Quantum complexity phase transitions in monitored random circuits by Ryotaro Suzuki, Jonas Haferkamp, Jens Eisert, Philippe Faist

“…We lower bound the exact state complexity in the former regime using recently developed techniques from algebraic geometry. Our results combine quantum complexity growth, phase transitions, and computation with measurements to help understand the behavior of monitored random circuits and to make progress towards determining the computational power of measurements in many-body systems.…”
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Locally conformal symplectic manifolds by Izu Vaisman

“…Various related geometric results, including reductivity theorems for Lie algebras of i. a. are also given. Most of the proofs are adaptations of corresponding proofs in symplectic and contact geometry. …”
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Decision Support System Based on Complex q-Rung Orthopair Fuzzy Rough Hamacher Aggregation Operator through Modified EDAS Method by Muhammad Qiyas, Saleem Abdullah, Muhammad Naeem, Neelam Khan, Samuel Okyere, Thongchi Botmart

“…As a generalization of the algebraic operations, the Einstein t-norm and t-conorm, Hamacher operations have become significant in aggregation theory. …”
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Definition of Triangular Norms and Triangular Conorms on Subfamilies of Type-2 Fuzzy Sets by Pablo Hernández-Varela, Francisco Javier Talavera, Susana Cubillo, Carmen Torres-Blanc, Jorge Elorza

“…The structure of these families provides a more solid algebraic foundation for the applications. In particular, we define these new operators on the subsets of the functions that are convex, normal, and normal and convex, as well as the functions taking only the values 0 or 1 and the subset of functions whose support is a finite union of closed intervals. …”
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Derivation and Implementation of a Non‐Local Term to Improve the Oceanic Convection Representation Within the k–ɛ Parameterization by Alexandre Legay, Bruno Deremble, Hans Burchard

“…To do so, we extend the k–ε algebraic second‐moment closure by relaxing the assumption on the equilibrium of the temperature variance θ′2‾. …”
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Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis : Analysis of a spatially nonlocal model by Stephen A. Gourley, Xiulan Lai, Junping Shi, Wendi Wang, Yanyu Xiao, Xingfu Zou

“…We then explore the existence of traveling wave fronts connecting the extinction equilibrium with the positive equilibrium for the system. We derive an algebraic equation that determines a critical value $c^*$ which is at least a lower bound for the wave speed in the sense that, if $c < c^*$, there is no traveling wave front of speed $c$ connecting the extinction steady state to the positive steady state. …”
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Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices by van Neerven, Jan, Portal, Pierre, Sharma, Himani

“…We consider operators acting on a UMD Banach lattice $X$ that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\frac{1}{2}\Delta + \frac{1}{2}|x|^{2} $ acting on $L^{2}(\mathbb{R}^{d})$. …”
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PHYSICAL FIELDS OF CIRCULAR CYLINDRICAL PIEZOCERAMIC RECEIVER IN PRESENCE OF A FLAT ACOUSTIC SOFT SCREEN by A. V. Derepa, A. G. Leiko, O. N. Pozdniakova

“…The physical fields of the system under consideration were determined by following solutions: the wave equation; equations of motion of thin piezoceramic cylindrical shells in displacements; equations of stimulated electrostatics for piezoceramics for given boundary conditions, conditions for coupling fields at interfaces and electrical conditions.A general conclusion was made concerning solving of an infinite system of linear algebraic equations with respect to the unknown coefficients of the expansion of the fields. …”
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Steering conservation biocontrol at the frontlines: A fuzzy logic approach unleashing potentials of climate-smart intercropping as a component within the integrated management of f... by Komi Mensah Agboka, Henri E.Z. Tonnang, Emily Kimathi, Elfatih M. Abdel-Rahman, John Odindi, Onisimo Mutanga, Saliou Niassy

“…The study developed a set of rules linking each selected covariate to the output as membership functions, which are later combined using an algebraic operator. It identifies extensive maize farms across Africa potentially suitable for Push-Pull technology, although the suitability varies by region. …”
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Linear Quadratic Regulator-Based Coordinated Voltage and Power Control for Flexible Distribution Networks by Zhipeng Jing, Lipo Gao, Chengao Wu, Dong Liang

“…The optimal state feedback law is obtained by solving the discrete-time algebraic Riccati equation. The proposed method has been evaluated on two typical flexible distribution networks, and the simulation results demonstrate the effectiveness of the proposed control method in improving voltage profiles and alleviating transformer overloading conditions using local measurements and very limited communication. …”
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Complex Diophantine interval-valued Pythagorean normal set for decision-making processes by Murugan Palanikumar, Nasreen Kausar, Ponnaiah Tharaniya, Željko Stević, Fikadu Tesgera Tolasa

“…We demonstrate that complex Diophantine interval-valued Pythagorean normal sets satisfy algebraic structures such as associative, distributive, idempotent, bounded, commutative and monotonic properties. …”
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Finite Element Analysis of Fluid Flow through the Screen Embedded between Parallel Plates with High Reynolds Numbers by Abid A. Memon, Hammad Alotaibi, M. Asif Memon, Kaleemullah Bhatti, Gul M. Shaikh, Ilyas Khan, A. A. Mousa

“…The two-dimensional incompressible Navier Stokes equations are worked out making use of the popular software COMSOL MultiPhysics version 5.4 which implements the Galerkin’s least square scheme to discretize the governing set of equations into algebraic form. In addition, the screen boundary condition with resistance coefficient (2.2) along with resistance coefficient 0.78 is implemented along with slip boundary conditions applied on the wall. …”
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FEATURES OF ELECTROMECHANICAL ACOUSTIC ENERGY CONVERSION BY CYLINDRICAL PIEZOCERAMIC TRANSDUCERS WITH INTERNAL SCREENS IN COMPOSITION OF FLAT SYSTEMS by A. G. Leiko, I. V. Kandrachuk, A. O. Sviatnenko

“…The physical fields arising from the emission of sound by such a system are determined by the joint solution of the system of differential equations: the wave equation; equations of motion of thin piezoceramic shells with circular polarization in displacements; the equations of forced electrostatics for piezoceramics at given boundary conditions, the conditions of conjugation of fields at the boundaries of the division of domains and electric conditions.The solution of the problem is reduced to the solution of an infinite system of linear algebraic equations with respect to unknown coefficients of field expansions.An analysis of the results of numerical calculations, performed on the basis of the obtained analytical relations, called to establish a number of features in the electromechanical acoustic transformation of energy by emitters in the composition of flat systems. …”
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Synoptic Analysis of Early Heat Waves in Northwest of Iran by Mahmoud Hooshyar, behrouz sobhani, nader parvin

“…The analysis of the basic components was performed on the algebraic data matrix matrix And 12 components that account for about 93 of the variations in pressure levels above 500 hp, were identified. …”
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Improving sensitivity in the deep regions of a volume conductor using electrical focused impedance methods by Mobarak Mahjabin, Rabbani K Siddique-e

“…A new technique named the focused impedance method (FIM) from Dhaka University (DU), Bangladesh used the algebraic average of two concentric and orthogonal TPIMs, localizing a zone of interest and having reduced magnitudes of negative sensitivity. …”
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