The interaction of conductive surface of cylindrical sensor with electric field of uniformly charged rectilinear filament parallel to axis of cylinder by S. V. Biryukov, A. S. Kolmogorov, S. S. Kolmogorova

“…Therefore, the task of this article is to obtain suitable for calculation electroinduction sensors dependences of the charge density induced on the conductive cylindrical surface of the sensor body from the geometrical parameters of the electric field and the sensor. The mathematical investigations carried out made it possible to establish the dependence of the surface density of the electric charge for the case of conducting cylinder in the field of linear charge. …”
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Vibrational Diagnostics of Rotating Machinery Malfunctions by Agnes Muszynska

“…After presenting basic principles of machinery diagnostics, several specific malfunction symptoms supported by simple mathematical models are given. These malfunctions include unbalance, excessive radial load, rotor-to-stator rubbing, fluid-induced vibrations, loose stationary and rotating parts, coupled torsional/lateral vibration excitation, and rotor cracking. …”
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Sound Radiation and Vibration of Composite Panels Excited by Turbulent Flow: Analytical Prediction and Analysis by Joana Rocha

“…This topic is of particular importance, given the growing interest in applying composite materials for the construction of aircraft structures, in parts where aluminum panels were traditionally being used. An original mathematical framework is presented for the prediction of noise and vibration for composite panels. …”
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Comparison of the results obtained by Iman transform with Laplace transform by NIHAL OZDOGAN

“…Many processes in the real world are characterised by principles which are defined in the form of expressions involving rates of change. Mathematically, rates are derivatives and expressions are equations so we have differential equations. …”
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A Polling-Based Dynamic Order-Picking System considering Priority Orders by Wenxue Ran, Sen Liu, Zhe Zhang

“…We divide orders into priority and common categories according to their time urgency. A mathematical model is established for such a system by applying polling theory, a probability generating function, and an embedded Markov chain. …”
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Analysis and Design of an Optimal Noise Estimation and Cancellation Filter in Wireline Communication by Mohammad Emami Meybodi, Hossein Shakiba, Ali Sheikholeslami

“…The paper provides mathematical analysis and experimental results of ONECF, demonstrating that ONECF is effective in reducing SER and improving SNR, and the degree of improvement is proportional to the channel loss. …”
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Synergetic Control of Grid-Connected Photovoltaic Systems by Junjie Qian, Kaiting Li, Huaren Wu, Jianfei Yang, Xiaohui Li

“…Practical synergetic controllers with two control strategies are synthesized. The mathematical expressions are derived for computing control variables. …”
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Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses by Yoshua Chávez, Marco-Vinicio Vázquez, Leonardo Dagdug

“…The effective one-dimensional reduction is used with distinct forms of a position-dependent diffusion coefficient, D(x), found in literature, to obtain expressions for (I) narrow escape times from a single open-ended tube, (II) its correspondent effective diffusion coefficient, both as functions of the eccentricity of the tube, ε, where ε = 0 returns the system to a spherical vesicle with two open opposite sides, and (III) finally, Lifson-Jackson formula that is used to compute expressions to assess the mean effective diffusion coefficient for a periodic elliptic channel formed by contacting ellipses, also as a function of the eccentricity. Mathematical expressions are presented and contrasted against computational simulations to validate them.…”
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Geohistorical Structural Design Tables for the Building Stones of the Maltese Archipelago by Lino Bianco

“…A retrospective analysis of the contents of this publication reveals that the results contained some mathematical errors. …”
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Dynamic Recrystallization and Recovery Behaviors in Austenite of a Novel Fe-1.93Mn-0.07Ni-1.96Cr-0.35Mo Ultrahigh Strength Steel by Yongli Chen, Yuhua Li, Xuejiao Zhou, Yueyue Jiang, Fei Tan

“…In this work, the effect of deformation parameters on dynamic recrystallization (DRX) and dynamic recovery (DRV) is discussed through stress-strain analysis, the DRV mathematical model is obtained, and then the dynamic recrystallization activation energy, Zener–Hollomon equation, and hot working equation are obtained. …”
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Analytical Modelling of High Concentrator Photovoltaic Modules Based on Atmospheric Parameters by Eduardo F. Fernández, F. Almonacid, T. K. Mallick, P. Pérez-Higueras

“…The model is based on simple mathematical expressions and atmospheric parameters. …”
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Calculation-experimental method for determining the initial geometric parameters of rubber-cord shell of rotation by V. S. Korneyev, S. A. Korneyev

“…The main attention is paid to the procedure of sample making, the order of measurement and mathematical processing of primary data to establish the average values of the angle of inclination and pitch of the long fiber cords at the equator of the shell. …”
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Study on a Stratified Sampling Investigation Method for Resident Travel and the Sampling Rate by Fei Shi

“…The stratified sampling rate formula and the sampling rate of each layer have been derived in detail according to Probability Theory and Mathematical Statistical Methods. Finally, for the main urban area of Kunshan City in Jiangsu province, China, we discussed the reasonable values of parameters in the formulas and obtained sampling rates for travel surveys in different residential areas. …”
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A Heuristic Genetic Algorithm for Regional Targets’ Small Satellite Image Downlink Scheduling Problem by Yan-Jie Song, Zhong-Shan Zhang, Kai Sun, Feng Yao, Ying-Wu Chen

“…In this paper, regional targets are considered with SSIDSP. We propose a mathematical model that maximizes profit by considering time value and regional targets. …”
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SOLVING TECHNICAL PROBLEMS THROUGH EQUATIONS by DANILA VIERU, GHEORGHE VOICU, LAURA TOMA, PAULA TUDOR

“…Waste storage may be subject to a mathematical equation called the time equation of a landfill. …”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…The computations have been carried out with help of mathematical software: MATLAB® 8.0 R2014b.…”
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Reconfigurable Articulated Robot Using Android Mobile Device by A.H. Rajpar, Ahmad. E. Eladwi, Imran Ali, Mohamed Bashir Ali Bashir

“…We introduce a set of conveniently composed kinematic and dynamic mathematical models for positioning the robot’s arms and, in our results and discussion section, calculate and report the torque required to move each joint.…”
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Resonance Effect Decrease and Accuracy Increase of Piezoelectric Accelerometer Measurement by Appropriate Choice of Frequency Range by Zine Ghemari, Saad Salah, Rabah Bourenane

“…A suitable piezoelectric accelerometer mathematical model is proposed to extract a relationship of motion relative frequency as a function of natural frequency. …”
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Moisture Sorption Isotherms of Whey Powder Spray in the 10–40°C Temperature Range by J. Stencl

“…The results of water sorption tests on whey powder spray carried out under laboratory conditions were presented together with mathematical analyses of the sorption isotherms. Moisture equilibrium data were investigated at air temperatures over the temperature range 10–40°C and water activity ranging from 0.3 to 0.99. …”
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NONLINEAR OVERVOLTAGE LIMITER APPLICATION FOR INTERNAL OVER-VOLTAGE PROTECTION IN AVERAGE VOLTAGE NETWORKS by A. N. Bokhan, V. V. Krotenok

“…The main peculiar feature of the model is an account of m-lag time constant.A mathematical modeling of transitional processes in distribution networks with NOL has been made.Over-voltages in the calculative experiment at arcing ground for load diagram have accounted for 3.2 Uf, that corresponds to the results of field tests.…”
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