On Complex Singularity Analysis for Some Linear Partial Differential Equations in by A. Lastra, S. Malek, C. Stenger

“…We construct these solutions with the help of series of functions with infinitely many variables which involve derivatives of all orders of X in one variable. …”
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Accelerating charge estimation in molecular dynamics simulations using physics-informed neural networks: corrosion applications by Aditya Venkatraman, Mark A. Wilson, David Montes de Oca Zapiain

“…This demonstrates the excellent accuracy, computational efficiency, and validity of the developed model. Lastly, even though developed for corrosion, these protocols are formulated in a phenomenon-agnostic manner, allowing application to various variable-charge interatomic potentials and related fields.…”
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Stress Estimation Based on Stochastic Method for Strength Evaluation of Floating Wind Turbines by Byungmo Kim, Beomil Kim

“…Next, each time series was stochastically fitted to Weibull distribution function. The most probable maximum (MPM) von-Mises stresses were estimated according to the probability level corresponding to the design life of the platform on the fitted curves. …”
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Exploring the nexus of many-body theories through neural network techniques: the tangent model by Senwei Liang, Karol Kowalski, Chao Yang, Nicholas P Bauman

“…The NN representation not only allows us to evaluate the effective interactions efficiently for various geometrical configurations of chemical systems corresponding to various levels of complexity of the underlying wave functions, but also reveals that the bare and effective interactions are related by a tangent function of some latent variables. …”
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Impedance-based sensitivity analysis for enhanced dynamic stability in DC off-grid hydrogen production systems by Chenguang Zhang, Zhongjian Kang, Bin Li, Hongyang Zhang, Di Zhu

“…DC off-grid hydrogen production systems, employing source–hydrogen interface converters to achieve efficient renewable energy conversion and electrolysis coupling, represent a core technological solution for green hydrogen generation. …”
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Dynamic ensemble-based machine learning models for predicting pest populations by Ankit Kumar Singh, Md Yeasin, Ranjit Kumar Paul, A. K. Paul, Anita Sarkar

“…This study introduces a dynamic ensemble model with absolute log error (ALE) and logistic error functions using four machine learning models—artificial neural networks (ANNs), support vector regression (SVR), k-nearest neighbors (kNN), and random forests (RF). …”
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ESTIMATING THE DEMAND FOR RAILWAY FREIGHT TRANSPORTATION: A CASE STUDY IN KAZAKHSTAN by Madiyar SULTANBEK, Nazdana ADILOVA, Aleksander SŁADKOWSKI, Arnur KARIBAYEV

“…Qualitative methods rely on judgments and opinions, while quantitative methods utilize historical data or identify causal relationships between variables. Overall, the present study highlights the critical role of demand forecasting in the railway freight transportation industry and its impact on efficient planning and decision-making processes.…”
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Development of a Data‐Driven Lightning Scheme for Implementation in Global Climate Models by Vincent Verjans, Christian L. E. Franzke

“…Abstract This study proposes a new lightning scheme applicable at the global scale, predicting lightning rates from climatic variables. Using satellite lightning records spanning a period of 29 years, we apply machine learning methods to derive a functional relationship between lightning and climate reanalysis data. …”
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Antigenic characterization of the human immunodeficiency virus (HIV-1) envelope glycoprotein precursor incorporated into nanodiscs. by Kristen C Witt, Luis Castillo-Menendez, Haitao Ding, Nicole Espy, Shijian Zhang, John C Kappes, Joseph Sodroski

“…These results indicate that Env-NDs represent a potentially useful platform for investigating the structural, functional and antigenic properties of the HIV-1 Env trimer in a membrane context.…”
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In vitro study of macro and micro nutrients decline in MS medium on growth and development levels of Acacia tortilis (Forssk.) Hayne. by Seyed Mohammad Hosseini Nasr, Marziyeh Valizadeh, Seyed Ali Razavi

“…Acacia tortilis is one of the valuable species growing in the southern regions of Iran, which is highly considerable for a variety of reasons such as stabilization of quicksand, medicinal uses and ecological functions. Low germination capacity of seeds, hard rooting of cuttings, the value of aesthetics and multiple medicinal uses highlight the importance of further research to explore methods for easy and efficient propagation of this species in vitro. …”
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Stochastic Analysis of Nonlinear Vehicle-Track Coupled Dynamic System and Its Application in Vehicle Operation Safety Evaluation by Fu-Shan Liu, Zhi-Ping Zeng, Wei-Dong Wang, Abdulmumin Ahmed Shuaibu

“…The nonlinear coupled vehicle-track dynamic system is used to accurately describe the wheel-rail contact state. The stochastic function-spectral representation is used to simulate the random track irregularity in the time domain for the first time; consequently, the frequency components in the irregularity are preserved and random variables are reduced. …”
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Assessment of the social capital impact on the household income of the Russian Federation regions by N. Е. Karmanova, A. V. Koritskiy

“…The authors propose a methodological approach that distinguishes the study from other economists – this is mathematical modeling using the extended Cobb-Douglas production function with the inclusion of indicators representing human and social capital in the number of independent variables of this function. …”
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Intelligent fault diagnosis of shearer based on simplified interval kernel global-local feature fusion by Ning LI, Hua DING, Xiaochun SUN, Zeping LIU, Guoshu PU

“…The results show that compared with the midpoint-radius kernel PCA, the kernel local preservation projection and interval kernel global-local feature fusion algorithms, the proposed method has a good monitoring effect on the single variable simulation fault, the multi-variable pick loss and the waterway blockage fault of shearers. …”
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Variation in Likert scale of the mathematics usefulness test by Facundo Juan Pablo Abal, Sofía Esmeralda Auné, Horacio Félix Attorresi

“…Likert scales with more categories increased test reliability at the extreme levels of the trait, but at the expense of compromising the internal structure validity evidences (Confirmatory Factor Analysis and Partial Credit Model of the Item Response Theory). The relative efficiency function revealed that similar information is obtained for all levels of the trait when using 5 or 6-point scales. …”
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Evaluation of Data Mining and Artificial Intelligence Methods to Predict Daily Precipitation by Yaseen Ahmed Hamaamin

“…In ANFIS modelling, for several input variables up to 6 variables, this study recommends using the grid partition method to divide variable ranges into membership functions. …”
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Integration of indigenous and formal knowledge in the assessment of soil quality performance assessment using multiple factor analysis in Alborz central mountains by Niloufar Izadi, Fateme Aghamir

“…The current study uses Multiple Factor Analysis (MFA) to propose efficiency indicators based on the weighting of familiar, organizational, or productive variables in groups evaluating indigenous, scientific, and data variability. …”
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Effect of settling time, velocity gradient, and camp number on turbidity removal for oilfield produced water by Thamer J. Mohammed, Eman Shakir

“…The experimental results of this study are used to develop an empirical correlation for turbidity removal efficiency as a function of multi variables poly-aluminum chloride dosage; polyelectrolyte dosage; and Ferric chloride dosage. …”
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Research on Local Obstacle Avoidance Path Planning Algorithm for Autonomous Mining Trucks by HUANG Shuai, WANG Jia, HUANG Jiade, HUANG Peng, LYU Liang

“…Through solving the optimization function, autonomous local path planning is initiated for mining trucks encountering obstacles. …”
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Computational Algorithms for Representing Aircraft Instruments with Barometric Physics (Numerical Methods Applied to Flight Simulation) by Adan Ramirez-Lopez

“…Finally, an approach analysis as a function of the step time (Δt) used for calculation of the aircraft displacement to evaluate the efficiency of the numerical method integrated in the simulator is also described. …”
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Using Interval Operations in the Hungarian Method to Solve the Fuzzy Assignment Problem and Its Application in the Rehabilitation Problem of Valuable Buildings in Egypt by M. A. Elsisy, A. S. Elsaadany, M. A. El Sayed

“…A study on the reuse of many valuable buildings is presented after using different government and service buildings in a manner that does not fit with its original function and heritage value. We offer a solution based on the scientific and realistic basis for requalification according to the variables and requirements of the social, cultural, and economic environments in the environment surrounding the valuable buildings.…”
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