Uniform boundedness of $ (SL_2(\mathbb{C}))^{n} $ and $ (PSL_2(\mathbb{C}))^{n} $ by Fawaz Aseeri

“…Motivated by previously known results approximating $ \Delta(G) $ for any algebraic group $ G, $ we find the exact values of the conjugacy diameters of the direct product of finitely many copies of $ SL_2(\mathbb{C}) $ and the direct product of finitely many copies of $ PSL_2(\mathbb{C}). $ We also prove that if $ G_1, \dots, G_n $ be quasisimple groups such that $ G_i $ is uniformly bounded for each $ i\in \{1, \dots, n\}, $ then $ G_1\times\dots \times G_n $ is uniformly bounded. …”
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Adaptive Fuzzy Control for Attitude Stabilization of Spacecraft with Deployable Composite Laminated Solar Array by Wei Zhang, Weibing Zhu, Shijie Zhang, Xiangtian Zhao

“…In addition, the spacecraft dynamic model which integrated the adaptive fuzzy PD controller was derived as a set of differential-algebraic equations. Several simulations were developed to investigate the solar array deployment dynamics and to verify the effectiveness of the proposed adaptive fuzzy PD controller. …”
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Investigating the amounts of solutes and chemical elements found in the sources Drinking water in Khorramabad city by Sayad Asghari Saraskanrood, zeynab DolatShahi

“…To perform this research, data on the chemical element of 23 wells and fountains in Khorramabad County during the period of 2002 to 2013 were presented in the form of a series of elements: fluorine (F), calcium (Ca), magnesium (Mg), potassium (K) The ArcGIS software and the algebraic or deterministic internalization methods, geology, IDW method, Kriging method and splint method were used for mapping and drawing maps. …”
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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions by Azhar Rashad Jan

“…The degenerate method is employed to deduce the linear algebraic system (LAS). In addition, our endeavor yielded novel and distinct instances. …”
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Multibody Modeling Method for UHV Porcelain Arresters Equipped with Lead Alloy Isolation Device by Xiaochao Su, Lei Hou, Zhubing Zhu, Yushu Chen

“…Its mechanical characteristic is derived theoretically, and the obtained moment-angle relationship is expressed as a system of differential algebraic equations. The initial rotational stiffness of the device is formulated in terms of the structural and mechanical parameters of the device. …”
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Theoretical and numerical study of profit in agricultural sector model using wavelet method by Yeshwanth R., Kumbinarasaiah S.

“…The operational matrices are used to simplify fractional differential equations to an algebraic system of equations. Finally, we graphically depict the results and offer empirical support for our theoretical conclusions through graphic representations. …”
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Application of the New Mapping Method to Complex Three Coupled Maccari’s System Possessing M-Fractional Derivative by Jan Martinovic, Aziz Ur Rehman, Muhammad Bilal Riaz

“…This is achieved through the utilization of M-Truncated fractional derivative with employing the new mapping method and computer algebraic syatem (CAS) such as Maple. The derived solutions in the form of hyperbolic and trigonometric functions. …”
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Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations by Vicente S. Fuertes-Miquel, Oscar E. Coronado-Hernández, Francisco J. Sánchez-Romero, Manuel Saba, Modesto Pérez-Sánchez

“…The main advantage of this study lies in the ability to easily compute pressure surges without the need to solve a complex system of differential and algebraic equations. Numerous cases of filling operations were analysed to obtain dimensionless charts that can be used by water utilities to compute pressure surges during filling operations. …”
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Reducing M2 macrophage in lung fibrosis by controlling anti-M1 agent by Fatemeh Bahram Yazdroudi, Alaeddin Malek

“…The study employs a two-step process of discretization followed by optimization, utilizing the Galerkin spectral method to transform the M2 diffusion PDE into an algebraic system of ordinary differential equations (ODEs). …”
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A Novel Analytical Inverse Kinematics Method for SSRMS-Type Space Manipulators Based on the POE Formula and the Paden-Kahan Subproblem by Yecong Wang, Xilun Ding, Zixin Tang, Chengwei Hu, Qingqing Wei, Kun Xu

“…The analytical inverse kinematics of these two kinds of 6-DOF manipulators is solved by combining the Paden-Kahan subproblems and geometric and algebraic methods, respectively. The proposed approach is not only singularity free compared with the traditional DH-based methods but also more accurate than the POE-based numerical solution. …”
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Machine learning to identify environmental drivers of phytoplankton blooms in the Southern Baltic Sea by Maximilian Berthold, Pascal Nieters, Rahel Vortmeyer-Kley

“…Applying Sparse Identification of Nonlinear Dynamics uncovered algebraic relationships in phytoplankton:nutrient:external driver interactions. …”
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A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation by Abid Mahboob, Muhammad Asif, Muhammad Nadeem, Aysha Saleem, Sayed M. Eldin, Imran Siddique

“…In the new era of cryptography, Substitution Boxes (S-Boxes) are very important to raise confusion in cipher text and the security of encryption directly depends on the algebraic strength of S-box. To avoid a hacker attack, researchers are focusing on creating dynamic S-boxes that are much stronger. …”
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Voltage Stability Analysis of Front-End Speed Controlled Wind Turbine Integrated into Regional Power Grid Based on Bifurcation Theory by Kaide Ren, Hongwei Li, Shuaibing Li, Haiying Dong

“…Firstly, differential-algebraic equations (DAEs) describing the dynamic characteristics of the wind turbine are given and the mathematical model of the system includes FSCWT is established. …”
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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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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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