On a Solution of a Third Kind Mixed Integro-Differential Equation with Singular Kernel Using Orthogonal Polynomial Method by Ahmad Alalyani, M. A. Abdou, M. Basseem

“…The singular kernel is modified to take a logarithmic form, while the kernels of time are continuous and positive functions. Using the separation of variables technique, we have a system of Fredholm integral equations (FIEs) that can be transformed into an algebraic system after using orthogonal polynomials. …”
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On the Global Practical Exponential Stability of <i>h</i>-Manifolds for Impulsive Reaction–Diffusion Cohen–Grossberg Neural Networks with Time-Varying Delays by Gani Stamov, Trayan Stamov, Ivanka Stamova, Cvetelina Spirova

“…The established criteria are less restrictive for the variable domain and diffusion coefficients. The effect of some uncertain parameters on the stability behavior is also considered and a robust practical stability analysis is proposed. …”
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Selected Aspects of Heat Transfer Study in a Gun Barrel of an Anti-Aircraft Cannon by Mateusz ZIELIŃSKI, Piotr KONIORCZYK, Zbigniew SURMA, Marek PREISKORN, Judyta SIENKIEWICZ

“…In each zone, the heat transfer coefficient, as a function of the time hi(t) and bore gas temperature as a function of the time Tg(t) to the cannon barrel for given ammunition parameters, was developed. …”
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Towards the Understanding of Damage Mechanism of Cemented Tailings Backfill by Haijun Wang

“…The CTB damage constitutive model, which takes the corrected coefficient of damage variable into consideration, and peak toughness are introduced to investigate the effects of fine tailings contents, curing ages, curing temperatures, and water-to-cement ratios (w/c) on the damage evolution laws, damage (DP), and specific energy (GP) at peak stress point of CTB. …”
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Comparative Evaluation of Vibratory Physiotherapy Methods in the Early Period after Cardiac Surgery by А. А. Eremenko, T. P. Zyulyaeva, D. V., Ryabova, А. P. Аlferova

“…Mechanical respiratory therapy procedures led to significant improvement in gas exchange variables, as evidenced by an increase in SpO2 in Groups 1 and 2 (p = 0.000009 and 0.000001, respectively) and a decrease in the proportion of patients with impaired oxygenating lung function (SpO2 below 92%) by 11 and 12 times, respectively (p &lt; 0.01). …”
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Trajectory Planning Based on Screw Theory with Consideration of the Optimal Berth Position for a Space Robot by Yong Wang, Ying Liao, Kejie Gong

“…First, the berth position is transformed into the desired position of the end-effector, and its constraints are described. Joint variables are parameterized using a sinusoidal function combined with a five-order polynomial function. …”
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Analysis the Impact of Covid-19 on Green Accounting and Its Implications on Profitability by Reschiwati Reschiwati, Fran Sayekti, Tasia Veronica

“…The next difference is that the Performance and Environmental Disclosure variables function as both Y variables and X variables (intervening). …”
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Sensory profiles in older adults with orthopedic conditions during quiet stance: a cross-sectional study by Marine Brika, France Mourey, Alexandre Kubicki

“…Methods Fifty-one older adults (76.9 ± 7.6 years) were divided into 2 Functional Groups (FG-/FG+) according to a composite score that included 3 variables (gait speed, grip strength and fear of falling). …”
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Similarity Solutions for Multiterm Time-Fractional Diffusion Equation by A. Elsaid, M. S. Abdel Latif, M. Maneea

“…Based on the obtained results, we propose a definition for a multiterm error function with generalized coefficients.…”
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SMART Based Multi-Point Matching Assisted Approximation of Renewable Interconnected Power System by Umesh Kumar Yadav, V. P. Singh, Luigi Fortuna, Umesh Kumar Sahu

“…For the error minimization, objective function is framed. The objective function is then converted in the form of weighted objective function by employing SMART based weight determination approach. …”
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Two‐dimensional echocardiographic right heart ratios for assessment of right heart size in dogs: Reference intervals and reproducibility by Jacqueline N. Sankisov, Lance C. Visser, Kate E. Davis, June A. Boon, Evan S. Ross, Abigail C. Laws

“…Conclusions and Clinical Importance Reference intervals for simple body weight‐independent right heart ratios are available to help detect abnormalities of right heart size and function. Reproducibility coefficients might be useful to help identify meaningful changes in right heart size during serial evaluations.…”
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Predicting the Cetane Number of Biodiesel using two AI-Models: the Gradient-based ANN and ANN Optimized by Genetic Algorithm by Hadis Tanha, Fatemeh Bashipour

“…The learning function, transfer function, number of hidden layers, and number of neurons in the hidden layers are some of the optimized parameters in the current AI-models. …”
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Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations by Farahnaz Soleimani, Fazlollah Soleymani, Stanford Shateyi

“…First, we make the Jain's derivative-free method optimal and subsequently increase its efficiency index from 1.442 to 1.587. Then, a novel three-step computational family of iterative schemes for solving single variable nonlinear equations is given. …”
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Closed-Form Solutions to Differential Equations via Differential Evolution by L. Mex, Carlos A. Cruz-Villar, F. Peñuñuri

“…First, the problem is stated as an optimization problem where the independent variables are elementary functions. Second, as the domain of DE is real numbers, we propose a grammar that assigns numbers to functions. …”
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Arbitrary finite spectrum assignment and stabilization of bilinear systems with multiple lumped and distributed delays in state by Vasilii Zaitsev, Inna Kim

“…One needs to construct control vectors such that the characteristic function of the closed-loop system is equal to a polynomial with arbitrary given coefficients. …”
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Vibration Analysis of Rotating Tapered Timoshenko Beams by a New Finite Element Model by Bulent Yardimoglu

“…A new finite element model is developed and subsequently used for transverse vibrations of tapered Timoshenko beams with rectangular cross-section. The displacement functions of the finite element are derived from the coupled displacement field (the polynomial coefficients of transverse displacement and cross-sectional rotation are coupled through consideration of the differential equations of equilibrium) approach by considering the tapering functions of breadth and depth of the beam. …”
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THE CORRELATION BETWEEN TOURISM ACCOMMODATION CAPACITY AND TOURIST INFLOW BY MICRO REGION OF DEVELOPMENT IN ROMANIA by Agatha POPESCU

“…In this purpose, the data provided by the National Institute of Statistics were processed using the indices with fixed and variable basis, comparison method, statistical parameters, Pearson coefficient of correlation, and linear regression function. …”
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Cost-effective process design for methanol synthesis from carbon dioxide hydrogenation by Sheng-Zhong Huang, Chih-Yao Lin, Chianghui Wang, Akhmat Fauzan Saputra, Henggar Yudha Hananto, Nicolas Justin Sutanto, Anggit Raksajati, Vincentius Surya Kurnia Adi

“…Accordingly, this research introduces an optimization framework capable of handling diverse process configurations, operating variables, and their interactions. This approach enables effective optimization using total annual cost (TAC) as the objective function and significantly enhances process design efficiency. …”
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Robust Optimization Research of Cyber–Physical Power System Considering Wind Power Uncertainty and Coupled Relationship by Jiuling Dong, Zilong Song, Yuanshuo Zheng, Jingtang Luo, Min Zhang, Xiaolong Yang, Hongbing Ma

“…Furthermore, the deterministic power balance constraints are relaxed into inequality constraints that account for wind power forecasting errors through fuzzy variables. The lower-level model focuses on minimizing traffic load shedding by establishing a topology–function-constrained information network traffic model based on the maximum flow principle in graph theory, thereby improving the efficiency of network flow transmission. …”
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Research on Robust Adaptive Model Predictive Control Based on Vehicle State Uncertainty by Yinping Li, Li Liu

“…To overcome these limitations, three key innovations are introduced: a three-degree-of-freedom vehicle dynamic model integrated with recursive least squares-based online estimation of tire slip stiffness for real-time lateral force compensation; an adaptive weight adjustment mechanism that dynamically balances control energy consumption and tracking accuracy by tuning cost function weights based on real-time state errors; and a dynamic constraint relaxation strategy using slack variables with variable penalty terms to resolve infeasibility while suppressing excessive constraint violations. …”
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