Waves, Solids, and Nonlinearities by Jüri Engelbrecht

“…Complicated constitutive behavior and complicated geometry lead to mathematical models of different character and, as shown by numerous examples, other methods are then used for the analysis. …”
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Research on the Roller Contact Load Algorithm of Rolling Bearings Based on the Equivalent Substitution by Li Pengfei, Wang Jingyue, Zheng Junwen, Han Yuntong, Lei Hu, Wang Junnian

“…In this research, three equivalent mathematical models are established by using the equivalent substitution method, the deformation of rollers is solved by using the Newton iterative principle, and then the contact deformation and contact load of different rollers under the three mathematical models are obtained. …”
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ON APPLICATION OF ARTIFICIAL NEURAL NETWORKS FOR MODELING OF WATER CONSUMPTION by Alexander N. Salugin, Roman N. Balkushkin

“…As a rule, these parameters are random, and the mathematical models describing the water balance are stochastic. …”

Physics of Gyroscope’s “Antigravity Effect” by Ryspek Usubamatov

“…The physics of gyroscopic effects are more complex than presented in existing mathematical models. The effects presented by these models do not match the real forces acting on gyroscopic devices. …”
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The finding and researching algorithm for potentially oscillating enzymatic systems by T. N. Lakhova, F. V. Kazantsev, S. A. Lashin, Yu. G. Matushkin

“…This paper presents classical mathematical models that describe oscillatory behavior in biological systems. …”
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Kinematics Analysis of a 2PRP_aU-2PSS Parallel Mechanism by Zheng Xin, Du Li, Che Linxian, Li Jie, Huang Xin, Lu Jiahong, Yi Hongyu

“…Finally, the two results are basically consistent, which indicates that the kinematic mathematical models of the discussed mechanism derived are correct and reliable.…”
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Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms by Alberto Gambaruto, João Janela, Alexandra Moura, Adélia Sequeira

“…Two different generalized Newtonian mathematical models for blood flow, derived for the same experimental data, are compared, together with the Newtonian model, in three different anatomically realistic geometries of saccular cerebral aneurysms obtained from rotational CTA. …”
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Analysis of castor wheels rotation of mobile differential drive robot by A. A. Radkevich, Shixin Yang, U. A. Zaretski, A. A. Velchenko, S. A. Pauliukavets

“…Mathematical models for controlling centrally oriented and non-centrally oriented rotary wheels of a mobile robot are considered. …”
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A Novel Energy Recovery System for Parallel Hybrid Hydraulic Excavator by Wei Li, Baoyu Cao, Zhencai Zhu, Guoan Chen

“…The natural frequency of the proposed energy recovery system is calculated based on the mathematical models. Meanwhile, the simulation models of the proposed system and a conventional energy recovery system are built by AMESim software. …”
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GPR Application for Non-Rigid Road Pavement Condition Assessment by Batrakov Dmitry O., Antyufeyeva Mariya S., Batrakova Angelika G.

“…The article uses the software developed by the authors and the corresponding mathematical models. The analysis of the results obtained is based on mathematical models that have proven their effectiveness and is time-tested. …”
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Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model by Shuo Li, Nasir Hussain, Ihsan Ullah Khan, Amjid Hussain, Shewafera Wondimagegnhu Teklu

“…COVID-19 is widely investigated by researchers through mathematical models from different aspects. Inspired from the literature, in the present paper, the generalized deterministic COVID-19 model is considered and examined. …”
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"MoSpec": A customized and integrated system for model development, verification and validation. by Marcello Pompa, Simona Panunzi, Alessandro Borri, Laura D'Orsi, Andrea De Gaetano

“…<h4>Methods</h4>Mathematical models play a crucial role in interpreting patient data and enable in-silico simulations for diagnosis and treatment. …”
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Rotating antibiotics selects optimally against antibiotic resistance, in theory by Robert E. Beardmore, Rafael Peña-Miller

“…The purpose of this paper is to use mathematical models to investigate the claim made in the medical literature over a decade ago that the routine rotation of antibiotics in an intensive care unit (ICU) will select against the evolution and spread of antibiotic-resistant pathogens. …”
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A Survey of Insulin-Dependent Diabetes—Part II: Control Methods by Daisuke Takahashi, Yang Xiao, Fei Hu

“…This kind of method of the mathematical model derivation is called a fundamental method. …”
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The analysis of cutting forces for hardened steel milling by D. S. Makashin

“…Studies of the full factorial experiment on the processing of steel 14Kh17N2 are carried out using a micro end mill with AlTiN coating. New mathematical models of cutting force and axial force have been developed that are adequately able to predict and optimize the forces acting on the cutting tool. …”
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Optimization of Working Conditions for Perovskite-Based Gas Sensor Devices by Multiregression Analysis by Fabio Zaza, Vanessa Pallozzi, Emanuele Serra

“…In addition, mathematical models are able to be used as multiple-factor surface calibration for restive gas sensor devices.…”
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On the one class of the glycaemia regulation models by Mečislavas Meilūnas

“… A new approach in mathematical modelling of the Diabetes mellitus in discussed. …”
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SOFTWARE FOR SIMULATION OF TECHNOLOGICAL ADAPTATION OF THE OPTICAL INSTRUMENTS SYSTEMS by N. K. Artioukhina, V. A. Marchyk

“…The most effective was to combine the programs into a complex with the general system of mathematical models. A characteristic feature is to unify the exchange of information between these programs and software systems Opal and Zemax.…”
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DEVELOPMENT OF SCIENTIFIC AND METHODICAL POSITIONS ON THE RANKING OF COMMODITY MARKETS OF PRODUCTION OF INDUSTRIAL ENTERPRISES by S. Logvinov

“…Particular attention is paid to the development of economic and mathematical models to justify the selection of management of industrial enterprise sales markets.…”
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Optimizing model for agile product development in garment industry by Suhartini Suhartini, Mokh Suef, Udisubakti Ciptomulyono, Erwin Widodo

“…The mathematical model will be of beneficial to create product development process strategies. …”
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