Overview of modern technologies for measuring, predicting and correcting turbulent distortions in optical waves by V.P. Lukin, I.P. Lukin

“…The work consists of the following parts: description of a technique for measuring fluctuations of optical waves in an atmospheric path, theoretical calculations of fluctuations by analytical analysis and mathematical modeling methods, technology for predicting turbulent air movement by the numerical solution of the Navier–Stokes equations and, finally, constructing adaptive optics systems that compensate for the turbulent distortions in optoelectronic image construction systems. …”
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Modeling and prediction of HIV in China: transmission rates structured by infection ages by Yicang Zhou, Yiming Shao, Yuhua Ruan, Jianqing Xu, Zhien Ma, Changlin Mei, Jianhong Wu

“…Here we develop a generalframework of mathematical modeling that takes into account this heterogeneityof transmission rate and permits rigorous estimation of important parametersusing a regression analysis of the twenty-year reported HIV infection data inChina. …”
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Construction Prototyping, Flight Dynamics Modeling, and Aerodynamic Analysis of Hybrid VTOL Unmanned Aircraft by Roman Czyba, Marcin Lemanowicz, Zbigniew Gorol, Tomasz Kudala

“…This paper presents the design process of an unmanned vertical take-off and landing aircraft including prototyping of the airframe construction and mathematical modeling as well as computational fluid dynamics (CFD) simulations. …”
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Flight Dynamics Modeling and Dynamic Stability Analysis of Tilt-Rotor Aircraft by Ke Lu, Chunsheng Liu, Chunhua Li, Renliang Chen

“…The aim of this paper is to develop a nonlinear flight dynamics mathematical modeling method of tilt-rotor aircraft and investigate the dynamic stability characteristics of tilt-rotor aircraft. …”
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A Data Mining-Based Model for Evaluating Tennis Players’ Training Movements by Hang Chen

“…This paper uses data mining technology to mathematically model the training movements of tennis players, establish a three-dimensional data information database of athletes utilizing depth imaging, analyze the data with data mining algorithms, and derive the results after comparative evaluation and analysis with a database of movement characteristics of tennis dribblers. …”
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Students' misconceptions in algebraic concepts: A four-tier diagnostic test approach by Hestu Wilujeng, Aristiawan, Joel I. Alvarez

“…The test consisted of 12 questions covering four aspects of algebraic thinking: problem-solving, mathematical modeling, generalization, and analytical thinking. …”
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Research on Fault Diagnosis of Ship Propulsion System Based on Improved Residual Network by Wei Yuan, Julong Chen, Xingji Yu

“…It is achieved through mathematical modeling of two common faults in permanent magnet synchronous motors: inter-turn short circuits and demagnetization. …”
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Demographic modeling of transient amplifying cell population growth by Shinji Nakaoka, Hisashi Inaba

“…Quantitative measurement for the timings of cell division and death with the application of mathematical models is a standard way to estimate kinetic parameters of cellular proliferation. …”
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Nonlinear Dynamics and Chaos in Systems with Discontinuous Support by Sandor Divenyi, Marcelo Amorim Savi, Luiz Fernando Penna Franca, Hans Ingo Weber

“…Since the time scale of this transition is much smaller than the scale of the individual modes dynamics, its mathematical modeling can be lead as non-smooth. This contribution uses a smoothened switch model to analyze non-smooth systems. …”
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Optimized Super-Twisting Sliding Mode Control with Parameter Estimation for Autonomous Vehicle Longitudinal Motion on Downhill Road by Kbrom Lbsu Gdey, Woo Young Choi

“…The proposed system’s mathematical modeling and control design are presented in detail with stability analyzed using Lyapunov theory. …”
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Modelling seasonal influenza in Israel by Oren Barnea, Rami Yaari, Guy Katriel, Lewi Stone

“…Mathematical modeling approaches are used to study the epidemic dynamics of seasonal influenza in Israel. …”
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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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A Radiative Chemical Process for the Methylene Blue Degradation by Natural Convective Nanofluid Flow over an Upright Cone by E. Ragulkumar, J. Vinoth Kumar, N. Abirami, P. Sambath, K. K. Viswanathan

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Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology by Alberto M. Gambaruto, João Janela, Alexandra Moura, Adélia Sequeira

“…Newtonian and generalized Newtonian mathematical models for blood flow are compared in two different reconstructions of an anatomicallyrealistic geometry of a saccular aneurysm, obtained from rotational CTA and differing to within image resolution.The sensitivity of the flow field is sought with respect to geometry reconstruction procedure and mathematical model choice in numerical simulations.…”
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To the problem of optimization of criteria for evaluating the effectiveness of providing the national security of the State by Y. V. Kobko

“…In addition, the implementation of appropriate evaluation requires the use of various methods: surveys, mathematical modeling, forecasting and more.…”
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Application of Reinforcement Learning in Cognitive Radio Networks: Models and Algorithms by Kok-Lim Alvin Yau, Geong-Sen Poh, Su Fong Chien, Hasan A. A. Al-Rawi

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Modeling the hydrodynamics of the OWC device placed over an undulated seabed in the presence of ocean current by Santanu Kumar Dash, Kshma Trivedi, Santanu Koley, Shrabani Mondal

“…The current investigation emphasizes the mathematical modeling of the hydrodynamics associated with the oscillating water column wave energy converter (OWC-WEC) device situated above undulating bottom of the ocean in the presence of ocean currents. …”
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Theoretical studies of the steering hydraulic system of construction and road machines with flow amplifiers by A. V. Zhdanov

“…The design, the principle of operation are described, the main calculated dependencies are presented, on the basis of which mathematical modeling was carried out. To evaluate the qualitative and quantitative characteristics of the amplifiers, graphs of transient processes in the steering hydraulic system, as well as the static characteristics of the flow amplifiers, were obtained. …”
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Biophysical modeling and experimental analysis of the dynamics of C. elegans body-wall muscle cells. by Xuexing Du, Jennifer Crodelle, Victor James Barranca, Songting Li, Yunzhu Shi, Shangbang Gao, Douglas Zhou

“…This study combines experimental techniques and mathematical modeling to investigate the dynamics of C. elegans body-wall muscle cells. …”
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Methane detection approach based on THz wave absorber by Alireza Barati Haghverdi, Ilghar Rezaei, Amir Ali Mohammad Khani, Toktam Aghaee

“…Both states are mathematically modeled in terms of referred impedance. Additionally, full-wave simulations are also performed. …”
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