LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM by B. A. Zaikin

“…A geometric construction of a single-position security system, its mathematical description and formulas of Markov sequence that describes the motion of an object under observation are given. …”
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On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method by Ryszard Gonczarek, Mateusz Krzyzosiak, Adam Gonczarek, Lucjan Jacak

“…We show that the results can be applied in studies of high-Tc superconductors and other superconducting materials of the new generation.…”
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Desulfurization of molten steel with molten slag using the electrochemical method by Wu X.-Q., Xu J.-F., Gu P.-W., Zhang J.-Y.

“…According to the mechanism analyses of the desulfurization under the applied external voltage, kinetics formulae were developed, and the model calculated results that were in agreement with the experimental values. …”
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Sensitivity Analysis of the Coupled Dynamic Behavior of Vehicles in Collision with Semirigid Guardrails by Chun Liu, Hong-Jun Liao, Jun Chen, Qian-Qian Deng

“…We validate the numerical results by comparing them with experimental findings and theoretical empirical formulas, confirming the accuracy of the coupled numerical model. …”
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Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method by Cheng He, Xinhai Wu, Tao Wang, Huan He

“…The intrinsic beam theory, as one of the exact beam formulas, is quite suitable to describe large deformation of the flexible curved beam and has been widely used in many engineering applications. …”
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MECHANICAL ANALYSIS OF THE SUSPENDED MOTOR SYSTEM by CHEN XiaoYun

“…Here,the mechanical analysis of the noise reduction plan of a kind of household vegetable spray system was investigated,the force balance equation was employed to deduce the relation between the suspension line deflection angle,the suspension line length,the moment of the resistance and other parameters,and the tension force of the suspension line was given; the methods and formulae of computing the spring stiffness coefficient and the weight were also obtained,an example was given to illustrate the variations of the moment of resistance and the spring stiffness coefficient to the suspension line deflection angle respectively,and the numerical iteration method was employed to compute the suspension line deflection angle with known moment of resistance,the results showed the feasibility of the method. …”
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Stability and Bifurcation for a Delayed Diffusive Two-Zooplankton One-Phytoplankton Model with Two Different Functions by Xin-You Meng, Li Xiao

“…Finally, some numerical simulations are performed to check out our theoretical results.…”
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Modal Logic, Probability and Machine Learning Systems for Metadata Extraction by Simone Cuconato

“…The logical system we consider emerges from combining of S5 modal logic with the formulas of the infinite-valued Łukasiewicz logic and the unary modality P that describes the behaviour of probability functions. …”
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A Performance Analysis Method of Gear Drive System Coupled with Elastic Supports by Dong Huimin, Liang Shiwen, Zhang Chuang

“…Taking a single-stage helical gear train as an instance,the influence of the supporting forms and rigidity on transmission performance indexes,including transmission error and the contact stress distribution on tooth surfaces,is analyzed by using this method. The analysis results indicate the method reflects the influence of supporting rigidity characteristics on transmission performance more veritably and comprehensively than empirical formulas. …”
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A Unified Formulation for Free Vibration of Spherical Cap Based on the Ritz Method by Yuan Du, Liping Sun, Xuhong Miao, Fuzhen Pang, Haichao Li, Siyu Wang

“…To prove the validity of this method, the results of the same condition are compared with FEM, published literatures, and experiment. …”
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Effect of Different Static Load Test Methods on the Performance of Combined Post-Grouted Piles: A Case Study in the Dongting Lake Area by Yu Du, Kai Qi, Run-Ze Zhang, Feng Zhou, Zhi-Hui Wan

“…The results indicate that the stress distribution along the pile shaft differed between the two test methods. …”
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Influence and Analysis of Trapped-oil on Output Characteristic of Gear Motor by Shengjie Yan, Ruyi Wang

“…The example calculation and result analysis are also conducted. The results show that characteristics of the connection between the expanded trapped oil and the injection medium， the compressed trapped oil and the release medium through the unloading groove determine that the trapped oil phenomenon of the gear motor is lighter than that of the gear pump， and the conventional symmetrical double rectangular unloading groove can meet the unloading requirements of trapped oil. …”
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Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory by Kan Ankang, Han Houde

“…Fractal mathematical equation of effective thermal conductivity is derived with fractal dimension and vacancy porosity in the cell body. The calculated results have good agreement with the experimental data, and the difference is less than 5%. …”
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Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon by Abdu A. Alkelly, Labiba F. Hassan

“…We have derived the intensity equation of a partially coherent Lorentz-Gauss beams propagating through uniform-intensity diffractive axicon, and we proved mathematically that it is the superposition of Bessel beams of various orders after emerging from axicon, using Hermite’s function series and the Bessel function integral formulas. The results show that the intensity distribution of the diffracted beam is the intensity pattern evolved from a Lorentz–Gauss shaped spot into a Gaussian-shaped spot at any position on the focal length of the axicon, and the intensity distribution of a partially Lorentz–Gauss beam generated by an axicon becomes uniform by increasing the beam width and more uniform and constant with the larger coherence width.…”
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Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation by Zhen Wang, Yang Zhao, Zhi Ding, Huiping Tang

“…Based on the linear superposition of the quadrilateral isoparametric membrane element and quadrilateral Mindlin plate element, basic vector formulas for the quadrilateral isoparametric shell element with the shear deformation is derived. …”
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Sutures génériques et fêlures intérieures chez Charles Burns by Jean-Paul Gabilliet

“…Second he causes genres to clash together by blending narrative clichés from the Fifties’ and Sixties’ most lowbrow pulp fiction and B-movies into quasi-surrealistic plots. Genre stitching results in the hybridization of characters and narratives. …”
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The Mehler-Fock transform of general order and arbitrary index and its inversion by Cyril Nasim

“…Then we develop a symmetric inversion formulae for these transforms. Many well-known results are derived as special cases of this general form. …”
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Anisotropic mechanical properties and cushioning effectiveness of spruce subjected to different direction loading by Zexiong Zhang, Weizhou Zhong, Jiaxing Li, Jingrun Luo

“…The arrayed microstructure of wood produced during growth results in anisotropic mechanical behavior at the macroscopic level. …”
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Hawking Radiation-Quasinormal Modes Correspondence for Large AdS Black Holes by Dao-Quan Sun, Zi-Liang Wang, Miao He, Xian-Ru Hu, Jian-Bo Deng

“…In this paper, by introducing the effective temperature, we reanalyze the nonstrictly thermal character of large AdS black holes. The results show that the effective mass corresponding to the effective temperature is approximatively the average one in any dimension. …”
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“Three Crossings” Compensations of the High Speed Moving MIMO Radar by Cheng Luo, Zishu He

“…The echo characteristics are analyzed and the formulas of the “Three Crossings” are given. Secondly, a compensation method, which uses the fractional Fourier transform (FrFT) to compensate the crossing Doppler-cell and the preprocess to compensate the crossing range-cell and crossing-beam, is proposed. …”
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