Effect of Receiver Holes on Flow and Heat Transfer Characteristics in A Radial Pre-swirl System: A LES Study by D. Wang, C. Song, C. Qiu, W. Wang, Y. Xu, P. I. Mihailovich

“…In addition, a mathematical model was developed to predict the relative total pressure and temperature inside the co-rotating cavity. …”
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Kinetics of Solidification and Crystallization of Liquid Axial Zone of Fe-C Alloys in Cylindrical Molds by V. Khrychikov, O. Semenov, Y. Aftandiliants, S. Gnyloskurenko, T. Semenova, H. Meniailo

“…The obtained curves can also be used to assess the accuracy of computer modeling of the processes of Fe-C alloys solidification and further adaptation of mathematical models by the correction of thermophysical coefficients, the values of which are not always known in the liquidus-solidus temperature range.…”
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Cheating Detection in Online Exams Using Deep Learning and Machine Learning by Bahaddin Erdem, Murat Karabatak

“…As a result of this study, it has been shown that the application of the most appropriate layer functions and parameter selection that will increase performance can be effective in estimating complex problems and target values that cannot be solved using classical mathematical models. The proposed models can provide educational institutions with a roadmap and insight in evaluating online examination practices and ensuring academic integrity. …”
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Nanomechanical characterization of soft nanomaterial using atomic force microscopy by Chi-Dat Lam, Soyeun Park

“…We comprehensively reviewed experimental techniques and fundamental mathematical models to investigate the mechanical properties, including elastic moduli and binding forces, of soft materials.To determine these mechanical properties, two-dimensional arrays of force-distance (f-d) curves are obtained through AFM indentation experiments using the force volume technique. …”
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The Study on Blockchain Adoption Strategies for Pharmaceutical Regulatory Products Under Dual-Channel Competition by Jianan Chen, You Xiao, Nianxing Yuan, Yong Wang, Jiamin Zhang, Lihui Wang

“…The methodology involves developing mathematical models for each scenario using parameters such as pricing, demand, and profit, followed by deriving equilibrium decisions for each model. …”
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Particle Flow Analysis of Macroscopic and Mesoscopic Failure Process of Salt Rock under High Temperature and Triaxial Stress by Haoran Li, Ziheng Wang, Dekang Li, Yajun Zhang

“…From the three different mathematical models of macroscopic and mesoscopic views, it is concluded that the effect of temperatures on salt rock is more significant after 90°C. …”
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Model of forecasting of material resources and estimated cost at early stages of life cycle of construction objects by M. V. Gureev, A. N. Makarov

“…To prepare and train AI models based on Python, the methods of the scikit-learn library were selected to compare the following mathematical models: decision trees, regressions and algorithms based on boosting.Results. …”
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Exploration of Key Factors in the Preparation of Highly Hydrophobic Silica Aerogel from Rice Husk Ash Assisted by Machine Learning by Yun Deng, Ziyan Sha, Xingxing Wang, Ke Duan, Weijie Xue, Ian Beadham, Xiaolan Xiao, Changbo Zhang

“…To expand the applications of hydrophobic silica aerogels derived from rice husk ash (HSA) through simple traditional methods (without adding special materials or processes), this paper employs machine learning to establish mathematical models to identify optimal conditions for extracting water glass and investigates how preparation conditions and heat treatment temperatures affect properties such as the porosity and hydrophobicity of HSA. …”
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Thermal effects of ternary Casson nanofluid flow over a stretching sheet: An investigation of Thomson and Troian velocity slip by Musharafa Saleem, A. Al-Zubaidi, Neyara Radwan, S. Saleem, Hind Adawi

“…This leads to a set of partial differential equations (PDEs) based mathematical models transformed into ordinary differential equations (ODEs)-appropriate similarity transformation. …”
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Energy efficiency and indoor climatic conditions in buildings: dynamic modeling for systemic improvement by Inna Bilous, Dmytro Biriukov, Tatiana Eutukhova, Oleksandr Novoseltsev, Volodymyr Voloshchuk, Aleksejs Prozuments

“…Based on the developed mathematical models, the dynamic modes of building energy supply systems are studied and recommendations for improving their efficiency are given. …”
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Study power of partial discharges to voltage intensity in XLPE-insulated cables by D. A. Polyakov, K. I. Nikitin, N. A. Tereschenko, I. V. Komarov, U. V. Polyakova

“…Some of the known mathematical models of insulation aging take into account the effect of partial discharges. …”
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A Survey of Matrix Completion Methods for Recommendation Systems by Andy Ramlatchan, Mengyun Yang, Quan Liu, Min Li, Jianxin Wang, Yaohang Li

“…We focus on the mathematical models for matrix completion and the corresponding computational algorithms as well as their characteristics and potential issues. …”
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Estimation of minimum miscible pressure in carbon dioxide gas injection using machine learning methods by Ali Akbari, Ali Ranjbar, Yousef Kazemzadeh, Fatemeh Mohammadinia, Amirjavad Borhani

“…At the same time, mathematical models may yield different estimations. This study introduces an innovative approach using machine learning (ML) techniques to determine CO2-MMP during CO2 flooding. …”
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TRENDS IN GLOBAL TRANSFORMATIONS OF COUNTRIES IN THE CONTEXT OF THEIR DEVELOPMENT AND ENSURING NATIONAL SECURITY by Olena A. Parshyna, Marharyta Yu. Parshyna, Tetiana V. Chumak, Ljudmila I. Yarmolenko

“…The system of indicators and criteria within the Fragile States Index reveals a significant deterioration in 2023 compared to 2013. Mathematical models of changes in the Fragile States Index for China and Indonesia have been constructed, along with an assessment of their accuracy, enabling the forecasting of strengthening trends for these countries in future periods. …”
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Research of temperature destruction effect on cables insulation operation life by V. N. Pugach, D. A. Polyakov, K. I. Nikitin, N. A. Tereshchenko, I. V. Komarov

“…The article describes the thermal aging of insulating materials of low-voltage cables and its effect on their service life. The wellknown mathematical models of insulation aging dependence on temperature are considered. …”
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Scientific basis for design low-speed synchronous permanent magnet generators for wind power plants by A. A. Tatevosyan

“…For the stage of verification calculations of VEU parameters, the scientific basis of design is determined by the construction of mathematical models and their research using application software packages for PCs, while for the stage of preliminary calculations, the development of analytical methods of analysis is important. …”
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Development and Evaluation of User‐Friendly Modeled Approach for Sustainable Polymer Membranes for Advanced Hemodialysis by Ahmed Khan, Zaib Jahan, Muhammad Ahsan, Muhammad Bilal Khan Niazi, Muhammad Nouman Aslam Khan, Ahmed Sayed M. Metwally, Farooq Sher

“…Abstract Hemodialysis is crucial for patients with end‐stage renal disease, yet evaluating its operating parameters often requires complex mathematical models. To simplify this process, user‐friendly modules have been developed to accurately assess key parameters with minimal inputs, enabling users to track disease prognosis. …”
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Generalization of stochastic mortality models to improve mortality prediction in life insurance and pension funds by Shirin Shoaee, Mohammad Mehdi Gholi Keshmarzi

“…Therefore, the accuracy of mathematical models in predicting mortality rates is an important challenge. …”
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Double diffusive MHD stagnation point flow of second grade fluid in non-Darcy porous media under radiation effects by Walid Aich, Amir Abbas, Adebowale Martins Obalalu, Walid Hassen, Lotfi Ben Said, Rejab Hajlaoui, Lioua Kolsi

“…A study on thermal diffusion or the Soret effect and diffusion-thermo or the Dufour effects are included in the research. Mathematical models are developed for the current situation and translated into a set of ordinary differential equations that are solved using MATLAB’s bvp4c. …”
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Co-dynamics of hepatitis B and C viruses under the influence of CTL immunity by A.M. Elaiw, GH.S. Alsaadi, A.A. Raezah, A.D. Hobiny

“…Understanding the cytotoxic T lymphocyte (CTL) immune response against hepatitis B virus (HBV) and hepatitis C virus (HCV) infections is crucial, as these infections can lead to liver cirrhosis and cancer. Mathematical models provide valuable support for biological and medical research by helping to understand the within-host dynamics of single or multiple viral infections and by aiding the development of effective drug therapies. …”
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