Vibrations of Plates and Shells with Attached Mass by L. U. Sultanov, I. R. Garifullin

“…The problem of vibrations of plates and shells with a mass attached to the point was solved. A mathematical model was developed based on the hypothesis of nondeformable normals. …”
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Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics by Hai-Feng Huo, Qian Wang

“…We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. …”
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Analysis of Repairable Geo/G/1 Queues with Negative Customers by Doo Ho Lee, Kilhwan Kim

“…We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution. …”
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The influence of the time of single photon transmission of information on the reliability of its reception in a quantum cryptographic communication channel by A. M. Timofeev

“…According to the results of mathematical modeling, the dependence of the reliability of the received data on the average time of single photon transmission of information was established. …”
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A Convolutional Neural Network for Nonrigid Structure from Motion by Yaming Wang, Xiangyang Peng, Wenqing Huang, Meiliang Wang

“…Compared with the traditional method for directly solving 3D structures, our model focuses on depth information that is lost owing to projection. This mathematical model is developed using a convolutional neural network with three modules for integration, reconstruction, and optimization, as well as two prior-free loss functions. …”
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Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects by Blessing O. Emerenini, Stefanie Sonner, Hermann J. Eberl

“…We analyze a mathematical model of quorum sensing induced biofilm dispersal. …”
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On the choice of the method of dynamic rationing of energy resources in oil refineries by V. R. Vedruchenko, E. M. Rezanov, A. P. Starikov, A. V. Kushnarenko, P. A. Surovtsev, V. A. Kikhtenko

“…In order to obtain predictive data, linear regression, machine learning, and neural networks are proposed to be used to build a mathematical model. The advantages and disadvantages of these methods are discussed, and the accuracy of the models is compared with the possibility of interpreting them. …”
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Synthesis of Robust Control System Using Double-Mass Electro-Mechanical by O. F. Opeyko

“…A ratio of the required characteristic frequency of the synthesized system to own frequency of free vibrations of an elastic member is taken as a small parameter.The synthesized system is a robust (low-sensitive to changes of the object parameters) one. Results of mathematical modeling prove the possibility to ensure acceptable indices of quality and robustness of the synthesized system.…”
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Errors analysis in pyrometric measurements in industrial environment by D. B. Ponomarev, V. A. Zakharenko, E. V. Abramova

“…On the Planck function and the aluminum reflection coefficient mathematical model basis the analytical aluminum radiation coefficient dependence on temperature and wavelength is obtained. …”
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Blasting neuroblastoma using optimal control of chemotherapy by Craig Collins, K. Renee Fister, Bethany Key, Mary Williams

“…A mathematical model is used to investigate the effectiveness of thechemotherapy drug Topotecan against neuroblastoma. …”
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Modeling diseases with latency and relapse by P. van den Driessche, Lin Wang, Xingfu Zou

“…A general mathematical model for a disease with an exposed(latent) period and relapse is proposed. …”
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A malaria model with partial immunity in humans by Jia Li

“…In this paper, we formulate a mathematical model for malaria transmission thatincludes incubation periods for both infected human hosts and mosquitoes. …”
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A Fast Finite-Difference Time Domain Simulation Method for the Source-Stirring Reverberation Chamber by Wenxing Li, Chongyi Yue, Atef Elsherbeni

“…In this paper, we present a fast simulation method, which is able to significantly decrease the simulation time of the source-stirring reverberation chamber. The mathematical model of this method is given in detail and home-made FDTD code is employed to conduct the simulations and optimizations as well. …”
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Analysis of Climatic Model Using Fractional Optimal Control by Muhammad Nadeem, Mustafa Habib, Muntaha Safdar, Patrick Kandege Mwanakatwe

“…In this research, we propose a fractional optimal control approach to effectively deal with the accessible resources and minimize the restriction of variables. The mathematical model is formulated in terms of the Caputo fractional derivative. …”
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Analysis of singularity planar multi-linkage mechanism of fourth order by E. S. Gebel

“…That is why the singularity problem is relevant for such mechanisms and should be studied to avoid jamming of links or the appearance of uncontrolled movements. The mathematical model is based on the theory of screws and contains the closed-loop equilibrium equations obtained for the investigated mechanism. …”
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Method and device for detection of insulation breakdown on hull in power circuits of locomotives by A. N. Kalyakulin

“…The results of mathematical modeling and experimental research confirm the possibility of practical application of the breakdown detection device built on the basis of this method. …”
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Numerical Investigation on Suppressing High Frequency Self-Excited Noises of Armature Assembly in a Torque Motor Using Ferrofluid by Hasiaoqier Han, Songjing Li, Liang Guo, Qingwen Wu

“…Attempting to suppress high frequency self-excited noises of armature assembly, ferrofluid is added to the working clearances of torque motor. The mathematical model of resistance force of ferrofluid applied to armature is derived theoretically from parallel plate squeeze flow theory and ferrofluid constitutive model in which shear thickening and shear thinning effects are taken into account. …”
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A surface model of nonlinear, non-steady-state phloem transport by Youcef Mammeri, Damien Sellier

“…Following Thompson and Holbrook[35]'s approach, we develop a mathematical model of coupled water-carbohydrate transport. …”
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Binary mixture convection in a horizontal channel under the Soret effect action by Stepanova Irina

“…The mathematical model describing stationary flow of binary liquid mixture is under consideration. …”
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A profit maximization model for sustainable inventory under preservation technology and linear time-dependent holding cost by - Aashish, Pavan Kumar

“…In addition, a mathematical model is constructed to maximize the total profit function and the concavity is shown using three-dimensional graph. …”
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