Computation of symmetries of rational surfaces by Juan Gerardo Alcázar, Carlos Hermoso, Hüsnü Anıl Çoban, Uğur Gözütok

“…In this paper, we provided, first, a general symbolic algorithm for computing the symmetries of a given rational surface, based on the classical differential invariants of surfaces, i.e., Gauss curvature and mean curvature. In practice, the algorithm works well for sparse parametrizations (e.g., toric surfaces) and PN surfaces. …”
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Application of Acoustic Emission on the Characterization of Fracture in Textile Reinforced Cement Laminates by J. Blom, J. Wastiels, D. G. Aggelis

“…Additionally, the AE behavior of specimens with different curvature is very indicative of the stress mode confirming the results of modeling. …”
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Research on time–frequency characteristics of contact force based on wavelet transform by Fang He, Jian Zhang

“…Then, the relationship between the stiffness, stiffness curvature variation, and contact force variation is analysed. …”
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Shaping Ability of the Root Canal System Using Reciproc and Reciproc Blue in Preparation of Artificial Canals by Hawazin Majdi, Khalid Merdad, Tariq Abuhaimed, Lujain Mirdad, Omar Alkhattab, Abdulaziz Bakhsh

“…Results: Both Reciproc and Reciproc Blue instruments respected the original canal curvature. There were no significant differences between the instruments in terms of maintaining canal curvatures. …”
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Performance analysis of K-nearest neighbor, support vector machine, and artificial neural network classifiers for driver drowsiness detection with different road geometries by Zhenlong Li, Qingzhou Zhang, Xiaohua Zhao

“…Furthermore, the less the radius of curvature, the more the difference. Third, the performance of K-nearest neighbor, support vector machine, and artificial neural network classifiers were compared and evaluated. …”
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Optimization of Lateral Collision Risk of Aircraft Based on the Skid-Slip Event Model by Hao Liu, Daiwu Zhu, Xiaofan Xie, Jiuhao Chen, Xiaokang Liu

“…Taking the A320 aircraft and 737-800 aircraft as experimental subjects, the corresponding collision coefficients are imported into software tools for the simulation and the Kalman filtering is combined to verify the smoothness of the front and rear boundary curvatures. The result proves that the event side collision risk of aircraft based on TSRRT is 15% of the traditional event model and the smooth curvature error is reduced by 80% due to the improvement. …”
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Estimating the Tensile Strength of Ultrahigh-Performance Fiber-Reinforced Concrete Beams by In-Hwan Yang, Changbin Joh, The Quang Bui

“…Therefore, in this study, the tensile behavior was investigated by fitting the analysis result of the moment-curvature curve to the experimental result of a UHPFRC beam. …”
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An Analytical Step-by-Step Procedure to Derive the Flexural Response of RC Sections in Compression by Piero Colajanni, Marinella Fossetti, Maurizio Papia

“…With respect to the usual numerical approaches, based on the fibre decomposition method, this procedure is based on the use of analytical expressions of the contributions to the equilibrium given by the longitudinal reinforcement and the concrete region in compression, which depend on the neutral axis depth and the curvature at each analysis step. The formulation is developed in dimensionless terms, after a preliminary definition of the geometrical and mechanical parameters involved, so that the results are valid for classes of RC sections. …”
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Regional hippocampal thinning and gyrification abnormalities and associated cognition in children with prenatal alcohol exposure by Blake A. Gimbel, Jeffrey R. Wozniak, Bryon A. Mueller, Kent A. Tuominen, Abigail M. Ernst, Mary E. Anthony, Erik de Water, the CIFASD, Donovan J. Roediger

“…Results There were significant regional differences in thickness and gyrification across bilateral hippocampi, with the PAE group showing substantially thinner tissue and less curvature than the comparison group, especially in CA1 and subiculum regions. …”
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Research on Modeling and Suppression of the Tooth Profile Envelope Error of Non-circular Gear Hobbing by Han Jiang, Li Dazhu, Tian Xiaoqing, Xia Lian

“…The tooth profiles at different positions of the non-circular gear pitch curve have the characteristics of equal modulus but unequal curvature radius and polar diameter. The distribution characteristics of the envelope curve of each tooth profile formed during the hobbing process are different, which lead to the unequal envelope error of the tooth profile at different positions. …”
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A Coons Patch Spanning a Finite Number of Curves Tested for Variationally Minimizing Its Area by Daud Ahmad, Bilal Masud

“…For this, we use an ansatz consisting of the original surface plus a variational parameter multiplying the numerator part of its mean curvature function and minimize with the respect to it the rms mean curvature and decrease the area of the surface we generate. …”
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Endodontic Management of a Severely Dilacerated Mandibular Third Molar: Case Report and Clinical Considerations by Suraj Arora, Gurdeep Singh Gill, Priyanka Setia, Anshad Mohamed Abdulla, Ganapathy Sivadas, Vaishnavi Vedam

“…An intraoral periapical radiograph revealed a severe curvature in both the canals. A wide trapezoidal access was prepared following the use of intermediate-sized files for apical preparation. …”
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Control of local stress in semiconductor silicon structures by S. F. Sianko, V. A. Zelenin

“…The examples of stress calculations in real structures are given.Proposed residual stress calculation methods allow to take into consideration character and curvature form of substrate, and also to estimate their magnitude in real topological elements of semiconductor circuits.…”
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A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces by Suguru Arimoto, Morio Yoshida

“…Further more, nonholonomic constraints arising from twisting between the two normal axes to each tangent plane are rewritten into a set of Frenet-Serre equations with a geometrically given normal curvature and a motion-induced geodesic curvature.…”
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Analysis on Mixed Lubrication Performance of Pin-bush Pairs in Large-sized Marine Chain by Liu Yi, Liu Xiaoling, Liu Guoliang, Li Qun

“…A model of thermal mixed lubrication of the pin-bush pair was established to study the effects of the equivalent curvature radius, the entrainment velocity, the surface roughness, etc. on the mixed lubrication performance of the roller-chain. …”
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Parametric optimization of flow in a solar chimney power plant under variable semi elliptical constraints by Rajamurugu Natarajan, S. Yaknesh, K B Prakash, Mohammed Al Awadh, Qasem M. Al-Mdallal

“…This research focuses on investigating flow parameter variations in Solar Chimney Power Plant (SCPP) models with full and half-inclined collector sections featuring semi-elliptical curvature and variable semi-minor heights (b: 0.01–0.03 m). …”
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Tooth Profile Synthesis and Meshing Force Characteristic of Sinusoidal Double Generating-wave Pushrod Movable Tooth Transmission by Wang Lichuang, An Zijun

“…Firstly， according to the structure and the transmission principle， the profile of double sinusoidal generating-wave is designed， the tooth profile equation of center gear and the variable curvature calculation formula is deduced. According to the curvature curve of the tooth profile of center gear， the condition that the tooth profile of center gear does not interfere is gotten， and the factors to affect the actual tooth profile interference of the center gear are analyzed. …”
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Design and Optimization of Iron Cow Stem with Flaps by Finite Element Method and Genetic Algorithm by Khaled Kamal Oude, Ali Adelkhani

“…In this research, two parameters of cross-sectional area and stem curvature were investigated as independent variables. …”
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Identification of Tree-Related High-Impedance Earth Faults Based on Long-Term Fluctuations in Zero-Sequence Current by Pengwei Wang, Bingyin Xu, Tony Yip, Dong Liang, Guofeng Zou

“…By applying approximate arc length parameterization, the RMS value curve is standardized. The curvature standard deviation, the average curvature variation rate, and its standard deviation are used as feature parameters. …”
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A Damage Detection Algorithm Utilizing Dynamic Displacement of Bridge under Moving Vehicle by Zhen Sun, Tomonori Nagayama, Di Su, Yozo Fujino

“…In order to identify damage location and extent, dynamic curvature was calculated with midspan displacement. …”
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