Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method by Huiming Tang, Junrong Zhang, Lei Huang, Changbin Yan, Shengming Hu, Mutasim Adam Mohamed Ez Eldin

“…The applicability of the redefined bias-compensatory factor is verified through a mathematical logical deduction. The accuracy of the conventional and the modified Terzaghi methods are compared using a case study in Wenchuan, China, revealing improved accuracy for the latter.…”
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Modelling and Prediction of Photovoltaic Power Output Using Artificial Neural Networks by Aminmohammad Saberian, H. Hizam, M. A. M. Radzi, M. Z. A. Ab Kadir, Maryam Mirzaei

“…The five years of data were split into two parts: 2006–2008 and 2009-2010; the first part was used for training and the second part was used for testing the neural networks. A mathematical equation is used to estimate the generated power. …”
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THE MECHANISM OF THE ENTERPRISE’S ECONOMIC BEHAVIOR: ELEMENTS AND MODELS by Су Жуй

“…The developed mechanism has a modern mathematical basis in the form of VAR models and cross-spectral analysis, which allows studying economic behavior in both long-term and short-term business horizons. …”
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Analytical solution for the problem of pure bending of orthotropic micropolar plate by Damjan Jurković, Gordan Jelenić, Sara Grbčić Erdelj

“…Here we consider an orthotropic form of such a problem, whereby two Young’s moduli, four Poison’s ratios and one characteristic length for bending are found to be sufficient to propose a mathematical model of this problem. General equations of the isotropic micropolar continuum are introduced, and the analytical solution for the pure bending of an isotropic micropolar plate is generalized to the case of orthotropic microstructure. …”
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Multiperiod Telser’s Safety-First Portfolio Selection with Regime Switching by Chuangwei Lin, Huiling Wu

“…By the Lagrange multiplier technique and the embedding method, we study in detail the existence of the optimal strategy and derive the closed-form optimal strategy. Finally, by mathematical and numerical analysis, we analyze the effects of the disaster level, the risk control level, the transition matrix of the Markov chain, the expected excess return, and the variance of the risky return.…”
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Design and Research of a New Seal Ring Bush Silent Chain by Fu Zhenming, Li Cunzhi, Wang Guibin

“…The structural innovation, mathematical modeling process and meshing principle of the silent chain are explained, and the RecurDyn dynamic simulation models of the new seal ring bush silent chain and a roller chain are established, which generate the operating wave curve caused by the polygon effect in the meshing process. …”
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DYNAMIC RESPONSES OF THE ELECTRICAL MEASURING SENSOR AND THE SIMPLY-SUPPORTED BEAM WITH TRANSVERSE MOVING LOAD by LIN Yun, BAI Yun

“…In this paper,the definite mathematical model was proposed before hand; and the model can be divided into two sub-problems considering of the linearity of the problem,then the method of separation of variables and the inherent function method were used to give the theoretical solutions respectively,an numerical example were introduced to give the deflection responses and the stress responses of the simply-supported beam and the dynamic responses of the capacitor of the sensor in order to illustrate the important effects of the dynamic effects. …”
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An Experimental Realization of a Chaos-Based Secure Communication Using Arduino Microcontrollers by Mauricio Zapateiro De la Hoz, Leonardo Acho, Yolanda Vidal

“…In this paper we propose a digital-based communication system that uses the logistic map which is a mathematically simple model that is chaotic under certain conditions. …”
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Research of temperature destruction effect on cables insulation operation life by V. N. Pugach, D. A. Polyakov, K. I. Nikitin, N. A. Tereshchenko, I. V. Komarov

“…The article describes the thermal aging of insulating materials of low-voltage cables and its effect on their service life. The wellknown mathematical models of insulation aging dependence on temperature are considered. …”
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Extraction of Weak Scatterer Features Based on Multipath Exploitation in Radar Imagery by Muhannad Almutiry, Lorenzo Lo Monte, Michael C. Wicks

“…The second problem is linearizing the mathematical forward model in the measurement domain. …”
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Quantum tug of war between randomness and symmetries on homogeneous spaces by Rahul Arvind, Kishor Bharti, Jun Yong Khoo, Dax Enshan Koh, Jian Feng Kong

“…We then introduce the Haar measure on the homogeneous space U/H, characterizing true randomness for H-equivalent systems. While this mathematical machinery is well studied by mathematicians, it has seen limited application in quantum information. …”
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Models, systems, networks in economics, engineering, nature and society by S.I. Noskov, E.S. Popov

“…To achieve this goal, the mathematical apparatus for solving linear and linear Boolean programming problems was used. …”

Research on HILS Technology Applied on Aircraft Electric Braking System by Suying Zhou, Hui Lin, Bingqiang Li

“…Using this method, a detailed mathematical modeling of system is proposed first. Studies on reducing sampling time with model simplification and modeling for applying to I/O interface of DSP and HILS are conducted. …”
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Research of the Traction Control of Flexible Work Surface Belt Drive of Heavy Duty Construction Vehicle by Lou Jie

“…To reduce the energy consumption of heavy duty construction vehicle pollution,and improve the capacity of the complex conditions of the vehicle,the multi-metal complex with stepless transmission and front / rear axle torque distribution device in the traditional drive system are imported,a new mathematical model of heavy duty four-wheel heavy duty construction vehicle is established,finally,a four-wheel drive heavy duty construction vehicle traction integrated control strategy is obtained.The results show that large ratio change conditions required for the engine reaches maximum speed of the longest and highest speed reached a minimum;small ratio change conditions can achieve high speed,the speed curve more smooth and steady acceleration phase speed change under the conditions of large ratio rate change;after the introduction of traction control system,slip phenomenon can be well suppressed over a driving wheel,the drive wheel speed control range of the space in the target vehicle speed.…”
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Optimizing Cutting Conditions and Prediction of Surface Roughness in Face Milling of AZ61 Using Regression Analysis and Artificial Neural Network by Nabeel H. Alharthi, Sedat Bingol, Adel T. Abbas, Adham E. Ragab, Ehab A. El-Danaf, Hamad F. Alharbi

“…Regression analysis was also used to build a mathematical model representing the surface roughness as a function of the process parameters. …”
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Stochastic model of economic cycles and its econometric application by Karmalita Viacheslav

“…Thus, the economic cycle is interpreted as the 'natural noise' accompanying the functioning of market economics.The proposed model creates a mathematical basis for the numerical analysis of empirical economic data. …”
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A Study on the Evaluation Method for the Operating Status of Overhead Transmission Lines Based on Analytic Hierarchy Process (AHP) by Qingbin Wang, Liang Wang, Rui Tian, Shuangpeng Cao, Shuai Zuo, Di Che, Lantao Jing

“…ABSTRACT To address the challenge of dynamically assessing overhead transmission lines under varying meteorological conditions through manual inspections and drone monitoring, this study proposes an evaluation method for the operating status of overhead transmission lines based on the Analytic Hierarchy Process (AHP). A mathematical model based on AHP is first established to perform weighted processing of five meteorological factors, generating a comprehensive meteorological dataset. …”
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基于面心组合的排气歧管响应曲面优化设计 by 刘伟, 张勇, 程天才, 王海燕

“…In order to solve the limitations caused by the engine exhaust manifold structure optimization which usually adopts single factor control variable method or orthogonal test leading to the insignificant parameter interaction,the face centered combination method in the central composite design is used to respond to surface optimization,taking the engine exhaust manifold of a heavy chemical vehicle as the research object,the exhaust 38 groups of manifold structural parameters finish the fast matching,the mathematical model is established and polynomial response regression equation is concluded,fitting out of the exhaust manifold optimum structural parameters and corresponding flow uniformity index,additionally,the results of response surface optimization is verified by the numerical simulation.The results show that when the four branches are combined,the optimal structure fluid flow uniformity index of the exhaust manifold by the response surface method based on the face centered combination way is improved from the original 0.76 to 0.82,which is 6% higher than the initial structure.…”
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Numerical simulation and industrial practice of inclusion removal from molten steel by gas bottom-blowing in continuous casting tundish by Meijie Z., Huazhi G., Ao H., Hongxi Z., Chengji D.

“…The residence time distribution (RTD) of molten steel in the tundish was calculated by mathematical modeling. The content of small size inclusions in the slab was analyzed using a oxygen probing and metallographic images. …”
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Pin Row Loading Analysis of Scraper Conveyor under Oblique Cut Condition by Mao Jun, Tian Song, Chen Hongyue

“…According to the force analysis of roller,the equation set of roller in the process of cutting by three- axis force is derived.Combining the MATLAB programming,the curve of the before and after roller load changing with the rotation angle under the oblique cut condition is obtained.With shearer machine as the research object,the whole machine mechanical equation is listed,the mathematical computing model is established.Based on MATLAB programming,combining with the before and after roller load changing curve under the oblique cut condition,the before and after sliding shoe load curves under the oblique cut condition is obtained.Due the contact relation between the sliding shoe and pin row and the principle of force mutual action,the curve of load acting on the pin rows under the oblique cut condition is achieved.And through the ANSYS Workbench simulation analysis,the stress distribution and deformation of pin rows of scraper conveyor are got.A reference for the future of design and analysis of damage causes of scraper conveyor pin row is provided.…”
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