Predictive modeling and optimization of tubular distiller operation using response surface methodology under silver nanomaterial infused PCM thickness variations by W.M. Farouk, Ayman Hoballah, Z.M. Omara, Fadl A. Essa

“…This study introduces a novel mathematical model to predict freshwater production and temperature profiles within a tubular solar still (TSS) under varying conditions. …”
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Gear Skiving and Tool Design Method for Manufacturing Tangent Quadruple Circular-arc Harmonic Flexsplines by Guo Erkuo, Xu Jia, Hong Yang, Liu Chang, Hu Lele

“…The kinematic model of skiving and the mathematical model of the tangent quadruple circular-arc harmonic flexspline were established. …”
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New Method for Calculating the Settlement of Single Pile and Pile Group in Soft Soil Area by Jingjing Xu, Xu Xu, Wenjuan Yao

“…This paper fits the τ-z curve of a single pile by mathematical methods. Based on the one-dimensional similarity of the τ-z curves, the τ-z curves of single pile under different loads are derived. …”
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Study on the Gap Flow Simulation in EDM Small Hole Machining with Ti Alloy by Shengfang Zhang, Wenchao Zhang, Yu Liu, Fujian Ma, Chong Su, Zhihua Sha

“…Based on the solid-liquid two-phase flow equation, the mathematical model on the gap flow field with flushing and self-adaptive disturbation is developed. …”
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MECHANICAL ANALYSIS OF THE DRILL BIT IN THE DUAL CASING SIDETRACKING by KONG ChunYan, LIANG Zheng, ZHANG DeRong

“…Considered the situation of that the sidetracking bit in actual contact with the oil casing wall,cement ring,technical casing wall and rock formations,established the bending moment mathematical model of the dual casing sidetracking drill bit,and combined with examples using MATLAB software solved the relationship between the drill bit bending moment and the drill bit horizontal moving distance under that Three different working conditions was given. …”
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Empirical and Experimental Perspectives on Big Data in Recommendation Systems: A Comprehensive Survey by Kamal Taha, Paul D. Yoo, Chan Yeun, Aya Taha

“…Covering a wide range of algorithms, this taxonomy first categorizes algorithms into four main analysis types: user and item similarity based methods, hybrid and combined approaches, deep learning and algorithmic methods, and mathematical modeling methods, with further subdivisions into sub-categories and techniques. …”
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Bayesian Probabilistic Framework for Damage Identification of Steel Truss Bridges under Joint Uncertainties by Wei Zheng, Yi Yu

“…The former could lead to model uncertainties due to the discrepancy between physical configurations and their mathematical models, while the latter could induce model parameter uncertainties due to difficulty in obtaining accurate model parameters of complex joint details. …”
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Alternating Generalized Projection Method for Satellite Reflectarray Synthesis with Sequential Stages of Different Illuminations by Rafael Florencio, René Escalante

“…When large reflectarrays are considered for satellite applications, several trap points can appear, producing oscillatory behavior between several trap points. A mathematical formalism which supports the idea that a reduction in the edge illumination of an antenna involves fewer trap points is described. …”
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Laws of Gas Diffusion in Coal Particles: A Study Based on Experiment and Numerical Simulation by Yongjiang Hao, Xiaofeng Ji, Jiewen Pang

“…Then, according to Fick diffusion law and Darcy percolation law, the mathematical models of methane emission from the spherical coal particles were created, respectively, and the corresponding calculating software was programmed by the finite difference method to obtain the simulated CMDQ of each sample under different conditions. …”
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Numerical Simulation Study on In-Depth Profile Control of Core–Shell Coagulation System Considering the Time-Variation of Permeability by Zhaobo Sun, Shuchun Cao, Gongchang Wang, Xiaofei Jia, Guoqing Ning

“…Considering these two phenomena comprehensively, a new three-dimensional, three-phase, six-component mathematical model that can take into account the time-varying phenomenon of reservoir permeability is proposed for a new kind of in-depth profile control system, namely, the core–shell coagulation system, and an integrated numerical simulation software is developed. …”
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Gas-Water Flow Behavior in Water-Bearing Tight Gas Reservoirs by Renyi Cao, Liyou Ye, Qihong Lei, Xinhua Chen, Y. Zee Ma, Xiao Huang

“…Based on the experimental results, this paper presents mathematical models to describe flow behaviors of gas and water in tight gas formations; the threshold pressure gradient, stress sensitivity, and relative permeability are all considered in our models. …”
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The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste by Stanley Chibuzor Onwubu, Phumlane Selby Mdluli, Shenuka Singh, Obiora Cornelius Collins

“…Objectives. A mathematical model making using of the Verhulst logistic equation was developed to predict the remineralization behaviors of desensitizing paste. …”
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Synthetic Indicator’s Evaluation of the tuberculosis program. Health Areas I and II. Cienfuegos 2013 by Narciso Águila Rodríguez, Tamara Montenegro Calderón, Hilda María Delgado Acosta, María Lina Valdés Gómez, Lizette Rodríguez Fernández, Eneida Bravo Polanco

“…Percentage and incidence rate were used as a Mathematical measures for the quantitative data analysis.…”
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Study on Evaluation Theory of Bridge Damage State and Methodology on Early Warning of Danger by Guofu Jiang, Qianxue Liang, Hua Wang, Yucai Ju, Haihua Wang, Xirui Wang, Longlin Wang, Wensheng Wang

“…According to the evaluation results, combined with mathematical-statistical analysis methods and principal component analysis methods, the methodology on early warning of danger for bridge structures can be realized. …”
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CFD Simulation of Multi-phase Flow Inside the Hydro-viscous Speed Regulating Clutch by Guo Guangchao, Xing Zuohui

“…Based on the computational fluid dynamics theory,the mathematical model of the fluid domain inside the hydro-viscous speed regulating clutch is established,and the multi-phase flow field in the radial groove friction pair is solved numerically by the CFD software. …”
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Navier-Stokes: Singularities and Bifurcations by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“…This work not only broadens the scope of traditional mathematical analysis of the Navier-Stokes equations but also establishes a robust theoretical framework for the investigation of bifurcations and regularity in advanced functional spaces, fostering a deeper understanding of global regularity phenomena and the complex dynamics governing fluid systems. …”
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The Spectrophotometric Multicomponent Analysis of a Ternary Mixture of Ibuprofen, Caffeine and Paracetamol by the Combination of Double Divisor-Ratio Spectra Derivative and H-Point... by R. Hajian, N. Afshari

“…The concentrations of PAR and CAF compounds in their mixture are determined by using their respective standard addition graphs which are obtained by measuring the amplitude at either the maximum or minimum wavelengths selected. The mathematical explanation of the procedure is illustrated. …”
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Numerical Simulation of Flooding Process on Downstream Structure by Three-dimensional Dam-break Wave by YU Ruixing, LIN Qin, HE Shiming, ZHENG Yipeng, ZHENG Kaiyuan

“…While a quantitative forecast of the flow velocity and impact load during the dam-break flood is carried out, the reliability of the mathematical models in dealing with the fluid-structure interaction of water disasters is demonstrated by real-life cases and published data comparison. …”
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Comparison of different models to describe the lactation curve of Holstein cows in a small-scale dairy system by Luis Javier Montiel-Olguín, Felipe de Jesús Ruiz-López, Sergio Gómez-Rosales, Germinal Jorge Cantó-Alarcón, Eliab Estrada-Cortés, Héctor Raymundo Vera-Ávila

“…Modeling lactation curves with mathematical equations is useful to describe and predict the productivity of dairy cows. …”
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RELATIONSHIP BETWEEN INTERNAL PRESSURE AND CAVITY VOLUME CHANGE BASED ON LIQUID IMPACT LOADING TO BIMETALLIC THIN-WALLED TUBES by LIU JianWei, SUN ChangYing, LI YuHan, YAO XinQi, FAN XiangWen

“…Secondly,theory of internal pressure was analyzed in the process of the axial impact hydraulic performing and the radial forming of bimetallic thinwalled tubes. Mathematical model between the internal pressure and volume change in the tube blank cavity was obtained.Thirdly,generation regularity of internal pressure of the axial and the radial liquid impact of the bimetallic thin-walled tubes was performed using ANSYS WORKBENCH. …”
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