Dynamic system evolution and markov chain approximation by Roderick V. Nicholas Melnik

“…In this paper computational aspects of the mathematical modelling of dynamic system evolution have been considered as a problem in information theory. …”
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Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives by Sara Salem Alzaid, Badr Saad T. Alkahtani, Shivani Sharma, Ravi Shanker Dubey

“…In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators. …”
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MESHING THEORY ANALYSIS OF THE MODIFIED ROLLER ENVELOPING HOURGLASS WORM DRIVE by QI Yan, LIAO HongHui, WANG XuDong, LIU ZaiXin, LI JinKuan

“…According to the spatial meshing theory and the transmission characteristics of the parabolic modified roller-enveloped toroidal meshing worm drive, the basic mathematical model is established; based on the mathematical model of parabolic modified roller enveloping toroidal meshing worm transmission, the basic characteristic parameters of the new worm transmission are deduced, and the meshing performance of the new worm transmission is further analyzed. …”
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Criteria base of the Hartmann–Sprenger pipe workflow by V. V. Makarov, V. I. Kuznetsov, I. O. Kuznetsova

“…The issue of creating a criteria base for the Hartmann–Sprenger pipe workflow based on a closed mathematical model is considered. On the basis of a closed mathematical model, the main parameters affecting the increase in the total temperature of the gas at the end of the dead-end cavity above the deceleration temperature of the incoming flow are recorded. …”
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Modified Three-Dimensional Multicarrier Optical Prime Codes by Rajesh Yadav, Gurjit Kaur

“…We propose a mathematical model for novel three-dimensional multicarrier optical codes in terms of wavelength/time/space based on the prime sequence algorithm. …”
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Parameterized Design and Motion Simulation of Swing Piston Pump Movement Mechanism by Xiao Tao, Zhou Fan, Zeng Minghao

“…Aiming at the unusual moving characteristic of the swing mechanism,a kind of moving model of the swing mechanism is built by using the mathematic modeling method,so that the expectant motion law can be obtained according to the engineering practical to change the parameter of the model.A visual prototype of the swing pump movement mechanism is built based on the ADAMS software.By the comparing the result of the motion simulation with the mathematic model,the accuracy of the parametric model is verified.Then the mechanics analysis of the critical part of swing mechanism is carried out by using the dynamics analysis method,and the theoretical basis for designing the swing mechanism is provided.…”
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Heating Calculation for Multi-Layer Bodies by R. I. Yesman

“…The paper presents a mathematical model and numerical solution of a problem in 2D-heating of multi-layer bodies. работе приведена математическая модель и численное решение задачи в двумерной постановке нагрева  2D –heating многослойных тел. …”
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Multi-objective Optimization Design of Micro-cultivator Gearbox based on NSGA-Ⅱ Algorithm by Zeng Chen, Li Bing, Wang Xiaoyong, Li Shangqing, Wu Xiankun

“…In order to improve the transmission performance and efficiency,the mathematical model is established based on the main design parameters of multi- axis micro- cultivator gearbox. …”
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A Study on the Effect of the Contact Point and the Contact Force of a Glass Fiber under End-Face Polishing Process by Ying-Chien Tsai, Guang-Miao Huang, Shin-Wei Cheng, Cheng-An Hsu, Innchyn Her

“…In order to verify the feasibility of the mathematical model, experiments, as well as DEFORM simulations, are carried out. …”
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Modeling Analysis and Simulation Verification for Drive Tooth Stress of Rubber Track Wheel by Zihan Zhao, Xihui Mu, Fengpo Du, Jianhua Guo

“…The driving teeth are likely to be destroyed when they are subjected to excessive load or load impact. The mathematical model and calculation analysis for the driving tooth stress distribution are carried out. …”
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An Interactive Approach of Teaching and Learning Prerequisite Mathematics Course and Core Engineering Mathematics Course During COVID-19 Pandemic by Vojo George Fasinu

“…This gives room for the appropriate approach of teaching and learning of mathematical modelling, in ATD courses, during COVID-19 era in a university in South Africa. …”
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Modeling and Contact Analysis of Internal Meshing Nutation Spiral Bevel Gear with Different Tooth Profiles based on General Tooth Surface Model by Zheng Lin, Ligang Yao

“…The derivation process of the tooth surface mathematical model of the internal meshing spiral bevel gears for nutation drive is complex. …”
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Towards a Prototype of a Spherical Tippe Top by M. C. Ciocci, B. Malengier, B. Langerock, B. Grimonprez

“…This “toy” is suitable to validate the mathematical model qualitatively and quantitatively.…”
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Study on Parametric Design and Manufacture of General Cylindrical Worm by Shen Zhihuang Jiang Yu'an

“…Taking the general straight cylindrical worm (ZN-type worm) as an example, the geometric mathematical model of the general straight cylindrical worm is established, according to the spatial position and posture relationship between the worm and the grinding wheel and the gear meshing principle, the mathematical model of the profile of the formed grinding wheel for grinding worm is deduced. …”
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Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations by A. V. Krysko, Jan Awrejcewicz, Irina V. Papkova, Olga Szymanowska, V. A. Krysko

“…The paper discusses the impact of the von Kármán type geometric nonlinearity introduced to a mathematical model of beam vibrations on the amplitude-frequency characteristics of the signal for the proposed mathematical models of beam vibrations. …”
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FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION by K. S. Kurachka

“…A mathematical model of a thin circular sandwich plate being under the vertical load is proposed. …”
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Generalizing the Black and Scholes Equation Assuming Differentiable Noise by Kjell Hausken, John F. Moxnes

“…As an example, the mathematical model is used to generalize the Black and Scholes’ (1973) equation for pricing financial instruments. …”
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Harmonic and Intermodulation Performance of Nonlinear Electronic Circuits by Muhammad Taher Abuelma'atti

“…A unified technique for mathematical modelling of the input output characteristics of nonlinear electronic circuits is presented. …”
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A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator by Ahmed Sami Abdulghafour, Raid Kamel Naji

“…In this paper, a mathematical model of a prey-predator system with infectious disease in the prey population is proposed and studied. …”
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Optimal Design and Analysis of Steering Mechanism of Manned Lunar Rover by Men Shudong, Wang Ping, Zhao Yang, Liu Chunlai

“…The inner and outer wheel turning angles mathematical model is deduced. Based on Ackerman- geometry steering theory,the optimized mathematical model of the steering mechanism is established. …”
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