Optimizing Photovoltaic Panel Performance: A Comparative Study of Meta-Heuristic Algorithms by M. Sundar Rajan

“…Various optimization techniques exist, including intelligent methods that incorporate functions, constraints, contributions, mathematical models, and analysis methods. Both contemporary and traditional generation techniques are analyzed, with hybrid algorithms gaining popularity due to their reduced computational time. …”
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Method for Calculating Transients in a Gas Pipeline by A. S. Fikov

“…In the course of the research, the task was set to obtain a mathematical model of the process taking into account the inertial term of the equation of motion, the neglect of which is possible only if the friction losses are exceeded by 3.5–4 times over the shock pressure. …”
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Waterflood Management Using Hybrid Approach of Streamline-Based Interwell Flux Information and Finite Volume Reservoir Simulation by Zhouyuan Zhu, Zhengdong Lei, Zhangxin Chen

“…It provides an effective solution for improving oil recovery in brown fields by combining the rigorous mathematical nature of finite volume simulation and the power of streamline-based flood management.…”
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Social diagnostics of information security of digital society: methodological and regulatory aspects by M. V. Kibakin

“…Special attention has been paid to the substantiation of the possibilities of early detection of information threats to the functioning of basic social institutions – social trust and stability of social relations, solidarity, civilizational identity, interfaith peace and tolerance in a complex society.The author’s methodology has been presented in the article as a sociological research technology that includes the interpretation and operationalization of groups of information threats enshrined in the state concept of national security, the correct application of expert procedures to assess security against these threats, as well as the subsequent mathematical-statistical and logical interpretation of the data obtained. …”
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Noise Source Identification Method for a Carpet Tufting Machine Based on CEEMDAN-AIC by Wang Haohui, Sheng Xiaowei, Xu Yang

“…MEEMD (EEMD) has only been tested via simulation; however, it has not been mathematically proven or evaluated. This leads to inevitable flaws in the research conclusions, and even some conclusions are wrong. …”
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Research on Damage Assessment of Buried Standard and Carbon-Fibre-Reinforced Polymer Petroleum Pipeline Subjected to Shallow Buried Blast Loading in Soil by Ying Cui, Jun Fang, Zhan Qu, Meimei Song, Junhai Zhao

“…Moreover, with the two pressure-impulse damage evaluation curves, mathematical formulae for the two different buried petroleum pipelines were established to generate pressure-impulse diagrams. …”
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Automatic Sleep Stage Classification Based on Convolutional Neural Network and Fine-Grained Segments by Zhihong Cui, Xiangwei Zheng, Xuexiao Shao, Lizhen Cui

“…However, traditional automatic sleep stage classification is quite challenging because of the complexity associated with the establishment of mathematical models and the extraction of handcrafted features. …”
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Machine vision model for drip leakage detection of pipeline. by Cong Xiao, Yiyuan Zhou, Yanwen Wu, Guodong Zhang

“…Morphological reconstruction and region-filling techniques are used to remove the noise caused by shooting in the side cross-section image, such as hollow, reflection, and irregular droplet edge, to upgrade the quality of the solution droplet edge. The mathematical model is established for boundary position points extracted from the droplet side cross-section image. …”
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Kinetic simulation of uranium migration in granite fissure media of beishan, gansu, China: A case study based on the Laplace transform and inverse transform methods by Xianzhe Duan, Cong Du, Nan Li, Jiaxin Duan, Zhenping Tang

“…In this study, the granite rock masses in Beishan, Gansu were selected to construct a physical and mathematical model of U-238 migration using the Laplace transform and inverse transform methods. …”
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SOURCES OF HIGH PROTEIN CONTENT IN COMMON BEAN SEEDS (PHASEOLUS VULGARIS) FROM THE VIR COLLECTION by G. P. Egorova, I. N. Perchuk, A. E. Solovyeva, T. V. Buravtseva

“…The protein content in seeds was measured in the Biochemistry and Molecular Biology Department at VIR using Kjeldahl method. Mathematical data processing (correlation analysis and single-factor analysis of variance) was performed using Statistica 7.0 software (StatSoft, Inc., USA).Results and conclusions. …”
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Interacting Large Language Model Agents Bayesian Social Learning Based Interpretable Models by Adit Jain, Vikram Krishnamurthy

“…The main takeaway of this paper, based on substantial empirical analysis and mathematical formalism, is that LLMAs act as rationally bounded Bayesian agents that exhibit social learning when interacting. …”
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Multiobjective Optimization Design and Performance Prediction of Centrifugal Pump Based on Orthogonal Test by Yuqin Wang, Xinwang Huo

“…In order to improve the hydraulic performance of the centrifugal pump, based on the original model, the optimization mathematical model with the four indexes head, efficiency, shaft power, and pump net positive suction head as objective function was established, and the multiobjective optimization design of the centrifugal pump was carried out by orthogonal test. …”
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Bayesian reinforcement learning models reveal how great-tailed grackles improve their behavioral flexibility in serial reversal learning experiments by Lukas, Dieter, McCune, Kelsey, Blaisdell, Aaron, Johnson-Ulrich, Zoe, MacPherson, Maggie, Seitz, Benjamin, Sevchik, August, Logan, Corina

“…Here, we apply and expand newly developed Bayesian reinforcement learning models to gain additional insights into how individuals might dynamically modulate their behavioral flexibility if they experience serial reversals. We derive mathematical predictions that, during serial reversal learning experiments, individuals will gain the most rewards if they 1) increase their *rate of updating associations* between cues and the reward to quickly change to a new option after a reversal, and 2) decrease their *sensitivity* to their learned association to explore the alternative option after a reversal. …”
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Dynamic transmission modeling of COVID-19 to support decision-making in Brazil: A scoping review in the pre-vaccine era. by Gabriel Berg de Almeida, Lorena Mendes Simon, Ângela Maria Bagattini, Michelle Quarti Machado da Rosa, Marcelo Eduardo Borges, José Alexandre Felizola Diniz Filho, Ricardo de Souza Kuchenbecker, Roberto André Kraenkel, Cláudia Pio Ferreira, Suzi Alves Camey, Carlos Magno Castelo Branco Fortaleza, Cristiana Maria Toscano

“…Brazil was one of the countries most affected during the first year of the COVID-19 pandemic, in a pre-vaccine era, and mathematical and statistical models were used in decision-making and public policies to mitigate and suppress SARS-CoV-2 dispersion. …”
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Development of a structural equation model for sustainable construction practices in Nigeria by H. C. O. Unegbu, D. S. Yawas, B. Dan-asabe, A. A. Alabi

“…Government policies exhibited the most considerable influence across three sustainability domains: environmental sustainability (ENS), social sustainability (SS), and economic sustainability (ES), as indicated by GPR → ENS (β = 0.87), GPR → SS (β = 0.68), and GPR → ES (β = 0.72), all p < 0.05. The derived mathematical model for Sustainable Construction Practices (SCP) is SCP = 0.01 + 0.5x + 0.3y + 0.2z, where x, y, and z represent environmental, social, and economic sustainability, respectively. …”
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Dynamic Coupling Analysis of Vehicle-Bridge System for Long-Span Suspension Bridge Based on Backpropagation Neural Network Method by Zuolong Luo, Xiaobo Zheng, Haoyun Yuan, Xirong Niu

“…Firstly, the BP neural network was used to approximate the dynamic response of the suspension bridge in the vehicle-bridge coupling system, and the complex finite element analysis results were thus explicitly displayed in the form of a mathematical analytical expression. And then the dynamic response of the suspension bridge under vehicle load was obtained by using a dynamic explicit analysis method. …”
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Data mining approach in detecting inaccurate financial statements in government-owned enterprises by Amra Gadžo, Mirza Suljić, Adisa Jusufović, Slađana Filipović, Erna Suljić

“…Leveraging the identified attributes, a mathematical model could potentially be formulated to effectively predict financial statements of government-owned enterprises in FBiH. …”
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Deep learning solutions for inverse problems in advanced biomedical image analysis on disease detection by Amal Alshardan, Hany Mahgoub, Nuha Alruwais, Abdulbasit A. Darem, Wafa Sulaiman Almukadi, Abdullah Mohamed

“…Abstract Inverse problems in biomedical image analysis represent a significant frontier in disease detection, leveraging computational methodologies and mathematical modelling to unravel complex data embedded within medical images. …”
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Gapped phases with non-invertible symmetries: (1+1)d by Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer, Sakura Schafer-Nameki

“…Along with the physical description of symmetric gapped phases, we also provide a mathematical one as pivotal 2-functors whose source 2-category is the delooping of the fusion category characterizing the symmetry and the target 2-category is the Euler completion of 2-vector spaces.…”
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Certainty of Linear Interrelation of Technical and Economic Parameters of Power Units of 300 МWt Thermal Power Stations by E. M. Farhadzadeh, A. Z. Muradaliyev, T. K. Rafiyeva, A. A. Rustamova

“…It would seem that there is a quite fully developed mathematical apparatus for regression and correlation analysis, a set of algorithms and calculation programs. …”
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