The Interaction of Iteration Error and Stability for Linear Partial Differential Equations Coupled through an Interface by B. Sheehan, D. Estep, S. Tavener, J. Cary, S. Kruger, A. Hakim, A. Pletzer, J. Carlsson, S. Vadlamani

“…However, computations for practical applications are often carried out under conditions under which it is unclear if rigorous results apply while relatively few iterations are used per time step. …”
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Flexural Design and Analysis of Composite Beams with Inverted-T Steel Girder with Ultrahigh Performance Concrete Slab by Wonchang Choi, Youngcheol Choi, Sung-Won Yoo

“…The experimental ultimate horizontal shear force is seen to be clearly larger than the static strengths of the stud predicted by Eurocode-4 and AASHTO-LRFD. Improved design formulae for the composite beam shall be derived to reflect the UHPC slab thickness.…”
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Correlational Relationships between Various International Rankings for Higher Education Institutions by V. A. Gaisenok, O. A. Naumovich, V. V. Samokhval

“…The task of the investigation was to study the interrelations of the results of university rankings presented by various ranking agencies. …”
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Inkjet Printed Planar Coil Antenna Analysis for NFC Technology Applications by I. Ortego, N. Sanchez, J. Garcia, F. Casado, D. Valderas, J. I. Sancho

“…A general methodology including design, simulation, fabrication, and measurement is presented for rectangular, planar-spiral inductors working at 13.56 MHz. Analytical formulas, computed numerical models, and measured results for antenna input impedance are compared. …”
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Settlement Prediction Based on the Relationship between the Empirical and Analytical Solutions of a Cylindrical Cavity under Undrained Conditions by Pieride Mabe Fogang, Yang Liu, Pengqiang Yu

“…Based on mathematical formulas, the results obtained by the geometrical representation are then associated with the experimental data. …”
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THEORETICAL STUDY ON ROUGHNESS FACTORS OF INVOLUTE SPUR GEAR TRANSMISSION by GAO ChuangKuan, ZHOU ZhongKe

“…At the end,several theoretical formulas for determining the roughness factors are created based on the multiple regression analysis of the above calculated results.…”
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Analysis of Nonlinear Vibration of Hard Coating Thin Plate by Finite Element Iteration Method by Hui Li, Liu Ying, Wei Sun

“…Through comparing the resulting frequency and response results, the practicability and reliability of FEIM have been verified and the corresponding analysis results can provide an important reference for further study on nonlinear vibration mechanism of hard coating composite structure.…”
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Numerical Analysis for U-Shaped Thin-Walled Structure Reinforced Timber Beam Based on Thin-Layer Beam Theory by Hui Liu, Jun Hu, Guohui Li, Guangying Mo

“…The proposed model has been validated by comparing the results obtained in the present analysis with experimental results and finite element analysis. …”
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Experimental study and numerical analysis on mechanical behavior of GFRP-concrete composite beam by Yonghui Huang, Chenxi Shao, Shaofeng Huang, Airong Liu

“…Finally, formulas for predicting the flexural and shear loading-capacity of composite beams are presented, and it exhibits an excellent agreement to the experimental results.…”
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Modeling and Analysis on the Evolution Process of Tool Working Angle in Gear Skiving Process by Yongpeng Chen, Hongliang Liu, Yong Yang

“…Finally，the influence of the designed rake angle and the helix angle of the skiving cutter on the working angle is analyzed. The results show that the designed rake angle tends to affect the working rake angle，while the helix angle of skiving cutter is more conducive to the relief working angle，and the analysis results can provide theoretical support for tool structure optimization for skiving cutter.…”
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Design and Simulation of a Combined Displacement Amplification Mechanism by Xueyuan Rong, Hong Zhou, Chunlin Guan

“…The results meet the design requirements.…”
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Higher Approximations to Study Statistical Characteristics of Waves in Multiscale Inhomogeneous Media by M. V. Tinin

“…The paper presents the results of the use of DWFT to derive formulas for wave statistical moments with respect to the first- and second-order effects. …”
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Economic and Environmental Evaluation and Optimal Ratio of Natural and Recycled Aggregate Production by Milad Ghanbari, Armin Monir Abbasi, Mehdi Ravanshadnia

“…The defined formulas and relationship are used to develop a model. …”
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SUPPORT VECTOR MACHINE FOR HYDRAULIC SUPPORT RELIABILITY PREDICTION by DING Fei, WANG Qian, ZHANG LiRong, WANG ChunHua

“…Based on support vector machine has great advantages in small sample data processing,Putting forward using support vector regression machine estimate weibull distribution parameter of hydraulic support failure time,when the failure date is small sample. The accuracy of the results obtained by different empirical formulas is compared. …”
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Topographic Effects on the Seismic Response of Trapezoidal Canyons Subjected to Obliquely Incident SV Waves by Hui Shen, Yaqun Liu, Haibo Li, Bo Liu

“…In this paper, the theory of wavefield decomposition and the artificial boundary is used to develop a method for inputting obliquely incident SV waves. Formulas for the equivalent nodal forces applied to the truncated boundary are derived and implemented in the finite element method. …”
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A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces by Ali Sepehri, Kambiz Farhang

“…Statistical summation of the asperity level contact force components and asperity level contact area results in the total contact force and total contact area formulae between two rough surfaces. …”
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Study and Design of Permanent Magnetic Levitation Roller of Belt Conveyor by Wu Huachun, Ren Yongwu, Yu Haitao, Shi Mengyao

“…A new type of magnetic levitation roller is designed,which is supported by permanent magnetic bearing（ PMB）,but the axial force is restrained by mechanical force. The analysis formulas of PMB’s loading capacity,torque and stiffness are established based on the equivalent magnetic charge method. …”
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Mechanical Characteristic Analysis of Buried Drainage Pipes after Polymer Grouting Trenchless Rehabilitation by Jian-guo Xu, Zhi-hao Chen, Ren Wang

“…Then the calculated values are compared with the pipeline experimental values, and the influence of different factors on the internal force and deformation of the polymer-repaired pipeline under different work conditions is discussed. The results show that the values and trends of the pipe deformation and circumferential bending moment calculated by the models are consistent with the experimental results, and the results obtained by the Vlazov model are closer to the experimental values. …”
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Time Series Prediction Based on Complex-Valued S-System Model by Bin Yang, Wenzheng Bao, Yuehui Chen

“…Symbolic regression has been utilized to infer mathematical formulas in order to solve the complex prediction and classification problems. …”
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On the properties of input-to-output transformations in neuronal networks by Andrey Olypher, Jean Vaillant

“…We advanced earlier known results by finding an exact solution to this problem for McCulloch-Pitts neurons. …”
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