An Electro Breakdown Damage Model for Granite and Simulation of Deep Drilling by High-Voltage Electropulse Boring by Changping Li, Longchen Duan, Songcheng Tan, Victor Chikhotkin, Xiaohui Wang

“…At present, there are no suitable physical mathematical models that describe electropulse boring (EPB) processes under confining pressures. …”
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Geometry and Space-Time Extent of Pion Emission Region at FCC Energies by V. A. Okorokov

“…Estimations for charged particle density and its critical value allow the possibility of lasing behavior for secondary pions in nucleus-nucleus collisions at FCC energy. The mathematical formalism is presented for study of the peak shape of correlation function for general case of central-symmetrical Lévy–Feldheim distribution.…”
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Design and Test of Quad-Bundle Spacer Damper Based on a New Rubber Structure by Zhenbing Zhao, Bin Liu, Shengchun Liu, Dachuan Zhang

“…Aiming at improving the handling efficiency and acquiring the satisfactory antivibration effect and damping performance, a quad-bundle spacer damper of 500 kV extra high voltage transmission lines was designed and developed based on a new rubber structure. Firstly, a mathematical vibration model of the spacer damper was constructed, and the structures of the defect-prone parts of the spacer damper were analyzed. …”
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Feedback Control of Injection Rate of the Injection Molding Machine Based on PID Improved by Unsaturated Integral by An Yang, Weigang Guo, Tianlong Han, Congrong Zhao, Hongwei Zhou, Jianping Cai

“…Then, the improved PID was applied to the injection speed control of an injection molding machine, which is usually controlled using conventional PID control that featured difficulty in mathematical modeling, a nonlinear relationship between the input and the output, and high system complexity. …”
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Turbine Airfoil Optimization Using Quasi-3D Analysis Codes by Sanjay Goel

“…A key contribution of the paper is the development of metrics that emulate the perception of the human designer in visually evaluating the Mach Number distribution. A mathematical representation of the evaluation criteria coupled with a parametric geometry generator enables the use of formal optimization techniques in the design. …”
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The Impact of Socio-Economic Challenges and Technological Progress on Economic Inequality: An Estimation with the Perelman Model and Ricci Flow Methods by Davit Gondauri

“…The article examines the impact of 16 key parameters of the Georgian economy on economic inequality, using the Perelman model and Ricci flow mathematical methods. The aim of the study is to conduct a deep analysis of the impact of socio-economic challenges and technological progress on the dynamics of the Gini coefficient. …”
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Strategically Selecting Behaviors That Impact the Problem: An Approach Drawn from Social Marketing by Laura A. Sanagorski Warner, John M. Diaz

“…Using an approach drawn from social marketing to develop activities aimed at changing or maintaining people’s behavior, Extension professionals and other practitioners can prioritize behaviors by mathematically calculating anticipated weights that will help focus efforts around key behaviors with the potential to make the greatest impact. …”
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The Effects of Poverty on Health Outcomes in Nigeria: An ARDL Approach by Abdulrahman Abdulganiyu Idris

“…In order to simulate how poverty affects health outcomes in Nigeria, the study utilized mathematical models to determine whether Nigeria health results (CO2 emission, patients per physician, life expectancy rate, and poverty rate) responds to poverty shock. …”
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An Improved Grasshopper Optimizer for Global Tasks by Hanfeng Zhou, Zewei Ding, Hongxin Peng, Zitao Tang, Guoxi Liang, Huiling Chen, Chao Ma, Mingjing Wang

“…The grasshopper optimization algorithm (GOA) is a metaheuristic algorithm that mathematically models and simulates the behavior of the grasshopper swarm. …”
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Application of System Identification for Modeling the Dynamic Behavior of Axial Flow Compressor Dynamics by Marco P. Schoen, Ji-Chao Lee

“…A proposed subspace system identification algorithm is used to extract three mathematical models: relating the tip air injection to the overall dynamics of the compressor and to the flow dynamics at the tip of the compressor blade and relating the movement of the throttle to the overall compressor dynamics. …”
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Sparse group LASSO constraint eigenphone speaker adaptation method for speech recognition by Dan QU, Wen-lin ZHANG

“…Original eigenphone speaker adaptation method performed well when the amount of adaptation data was suffi-cient.However,it suffered from server overfitting when insufficient amount of adaptation data was provided.A sparse group LASSO(SGL) constraint eigenphone speaker adaptation method was proposed.Firstly,the principle of eigenphone speaker adaptation was introduced in case of hidden Markov model-Gaussian mixture model (HMM-GMM) based speech recognition system.Then,a sparse group LASSO was applied to estimation of the eigenphone matrix.The weight of the SGL norm was adjusted to control the complexity of the adaptation model.Finally,an accelerated proximal gradient method was adopted to solve the mathematic optimization.The method was compared with up-to-date norm algorithms.Experiments on an mandarin Chinese continuous speech recognition task show that,the performance of the SGL con-straint eigenphone method can improve remarkably the performance of the system than original eigenphone method,and is also superior to l₁、l₂-norm and elastic net constraint methods.…”
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The phenomenon of attractor in architecture by Tkachev Valentin N.

“…Attractor is a deeply layered term of physical and mathematical research. In a trivial interpretation, it designates the phenomenon and the subject of attraction. …”
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Research on Modification Method of Internal Gearing Power Honing based on Flexible Dressing of Honing Wheel by Lian Xia, Qing Wang, Jiang Han, Xiaoqing Tian

“…Firstly，the tooth surface mathematical model of dressing and honing is established according to the motion relationship of each axis of gear honing machine. …”
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Measuring. Monitoring. Management. Control by P.G. Mikhaylov, A.P. Mikhaylov, I.N. Paskhin, A.R. Akhmetov, E.D. Fadeev

“…The article describes in sufficient detail the proposed designs of polyfilm strain-resistant structures of various configurations. Mathematical models of multilayer film structures are considered and analyzed, the nominal values of strain gages are determined, and methodformation are determined. …”

SDP-Based Quality Adaptation and Performance Prediction in Adaptive Streaming of VBR Videos by Thoa Nguyen, Thang Vu, Nam Pham Ngoc, Truong Cong Thang

“…Our solution is based on a new statistical model where the future streaming performance is directly related to the past bandwidth statistics. We develop mathematical models to predict and develop simulation models to measure the average performance of the adaptation policy. …”
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Prey – predator model on the interaction between the drawdown level of an aquifer and maize yield by MD Shehu, OP Evans, AT Cole

“…In this paper we formulated a mathematical model to analyse the interaction between the Draw-down levels in an unconfined aquifer with maize yield, using the parameters; aquifer recharged rate α, rate of interaction between the draw down level of the aquifer and the maize yield β, draw down level of the aquifer h, and the maize yield y. …”
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CREEP RELIABILITY ANALYSIS OF TURBINE BLISK BASED ON DUAL RESPONSE SURFACE METHOD by ZHANG ChunYi, WANG AiHua, SUN Tian, JING HuiZhe, LI ChengWei

“…By constructing the finite element model of the blisk and the thermal-structural coupling analysis method, the stress and strain of turbine blisk were obtained. The mathematical model of dual response surface for stress and strain of turbine blisk was established by using the Latin hypercube small sampling technique. …”
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Elastography in Hepatology by Ludovico Abenavoli, Christophe Corpechot, Raoul Poupon

“…Currently, in clinical practice, there are three available methods for the evaluation of liver fibrosis: liver biopsy, which is still considered to be the ‘gold standard’; serological markers of fibrosis and their mathematical combination – suggested in recent years to be an alternative to liver biopsy – and, more recently, transient elastography (TE). …”
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Flettner Rotor Concept for Marine Applications: A Systematic Study by A. De Marco, S. Mancini, C. Pensa, G. Calise, F. De Luca

“…This model is an effective mathematical tool for the preliminary design of Flettner rotor. …”
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High-resolution mapping of cell cycle dynamics during steady-state T cell development and regeneration in vivo by Heike Kunze-Schumacher, Nikita A. Verheyden, Zoe Grewers, Michael Meyer-Hermann, Victor Greiff, Philippe A. Robert, Andreas Krueger

“…We developed an agent-based mathematical model of T cell developmental dynamics. …”
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