ESTIMATION OF TOPOGRAPHIC DEFECTS DIMENSIONS OF SEMICONDUCTOR SILICON STRUCTURES by S. F. Sianko, V. A. Zelenin

“…These structures have been considered to be image finite elements and within this range the curvature radius has been assumed to be constant. Sequential calculation of deviation of element ends from ideal plane based on determining their curvature radius has allowed obtaining geometry of a target surface in a set range of elements. …”
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NUCLEOSOME ORGANIZATION IN PLANT DNA SATELLITES by V. N. Babenko, K. O. Kutashev, V. F. Matvienko

“…Sequence and conformational DNA features responsible for the high efficiency of this package have been sought with a Fourier transform. The curvature profiles in tandem repeats differ significantly from a random model. …”
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Ricci and Bianchi identities for h-normal Γ-linear connections on J1(T,M) by Mircea Neagu

“…Finally, we expose the local expressions of Bianchi identities which geometrically connect the local torsion and curvature d-tensors of connection ∇Γ.…”
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MESHING PERFORMANCE ANALYSIS OF FACE ROLLER ENVELOPING HOURGLASS WORM DIRVE by WANG XuDong, LIU ZaiXin, LI LingYu

“…The equations of worm gear meshing function, meshing equation, lubrication angle, self rotation angle, induced normal curvature and relative entrainment velocity are derived. …”
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∗-Ricci Tensor on α-Cosymplectic Manifolds by M. R. Amruthalakshmi, D. G. Prakasha, Nasser Bin Turki, Inan Unal

“…Furthermore, the ∗-Weyl curvature tensor W∗ on M has been considered. Particularly, we show that a manifold M with vanishing ∗-Weyl curvature tensor is a weak ϕ-Einstein and a manifold M fulfilling the condition RE1,E2⋅W∗=0 is η-Einstein manifold. …”
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Explosive Processes on Cathode while Forming Nanosecond Pulsed Discharge of High Pressure by A. M. Hashimov, R. N. Mekhtizadeh, А. S. Bondyakov, Sh. A. Kazimov

“…The paper is devoted to research of cathode surfaces with different curvature radius (r = 1–8 mm) while forming nanosecond pulsed discharge in dense air. …”
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On Pseudospherical Smarandache Curves in Minkowski 3-Space by Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim Ilarslan, Emilija Nešović

“…We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves. …”
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Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces by S. M. Sayed, O. O. Elhamahmy, G. M. Gharib

“…We use the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudospherical surfaces for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations with constant Gaussian curvature −1. …”
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Survival Analysis of Factors Influencing Cyclic Fatigue of Nickel-Titanium Endodontic Instruments by Eva Fišerová, Martina Chvosteková, Silvie Bělašková, Michal Bumbálek, Zdeněk Joska

“…Cyclic fatigue testing was carried out in stainless steel artificial canals with radii of curvature of 3 or 5 mm and the angle of curvature of 60 degrees. …”
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Factor Graph-Based Planning as Inference for Autonomous Vehicle Racing by Salman Bari, Xiagong Wang, Ahmad Schoha Haidari, Dirk Wollherr

“…This diverges from the conventional separation of global and local planning modules, where curvature minimization occurs at the global level. …”
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Time-Optimal Trajectory Planning along Parametric Polynomial Lane-Change Curves with Bounded Velocity and Acceleration: Simulations for a Unicycle Based on Numerical Integration by Chien-Sheng Wu, Zih-Yun Chiu, Jing-Sin Liu

“…We base the time-optimal trajectory simulations on numerical integration on a path basis under two different end conditions representing sufficient and restricted steering spaces with remarkable difference in allowable maximum curvature. The rest-to-rest lane-change maneuvering simulations highlight the effect of the most relevant path geometric properties on minimal travel time: a faster lane-change curve such as a quintic Bezier curve followed by a unicycle tends to be shorter in route length and lower in maximum curvature to have achievable highest speed at the maximum curvature points. …”
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Evolution of Brain Tumor and Stability of Geometric Invariants by K. Tawbe, F. Cotton, L. Vuillon

“…The geometric invariants considered in the paper are the volume, the area, the discrete Gauss curvature, and the discrete mean curvature. The volume of a tumor is an important aspect that helps doctors to make a medical diagnosis. …”
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Clinical management of confluent canals by Gianluca Gambarini, Ivona Bago, Adrianna Adamek-Mrozowska, Byron Tsivos

“…Confluent canals are potentially dangerous for endodontic rotary instruments because they are rarely detected with periapical radiographs and they usually create an abrupt curvature, with a small radius less than two millimeters and a high degree of the curvature close up to 90 degree. …”
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Numerical Analysis of Elastohydrodynamic Lubrication of Rolling Linear Guides by Li Dong Liu Xiaoling Zhou Jiangmin Liu Fengqi

“…The film thickness with various contact angle，ball diameter，load，curvature ratio and lubricant parameters is analyzed. …”
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Ruptured Large Gastrointestinal Stromal Tumor: A Case Report and Review of Literature by Javereeya Abdul Jabbar, Amr Elmekresh, Yousif Eltayeb

“…Imaging showed a very large cystic lesion (21 cm×15 cm×24 cm) arising from the greater curvature of the stomach with rupture of the lesion into the intraperitoneal space. …”
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Local peculiar motions in McVittie and LTB spacetimes by Masoud Molaei, Shant Baghram, Bahram Mashhoon

“…Tidal dynamics in the McVittie model involves the sum of the curvature due to the inhomogeneity, the curvature due to the background FLRW spacetime and a mixed term, while tidal dynamics in the particular LTB model turns out to be qualitatively the same as in the Einstein-de Sitter universe. …”
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Simulation of Wear in Involute Micro Gear by Shi Wankai, Wang Xu, Han Zhenhua, Liu Yin

“…In order to further study the microscopic wear mechanisms of micro gear,by using the classical Archard wear equation,combining with JKR（Johnson K L,Kendall K,Roberts A D） theory and GW（Greenwood and Williamson） rough surface model,a simulation model of the wear in micro gear is firstly established and the measures to reduce tooth wear are proposed.The simulation with considering the influence of single factor and multiple factor of surface attractive forces,surface roughness,the radius of curvature in asperity apex,material property etc.on tooth surface wear is carried out.The results show that an appropriate increasing in the surface roughness,reducing the radius of curvature in asperity apex,selecting the gear with larger parameter product value ηβσ which describing the rough surface,choosing the material which has a larger elastic modulus can alleviate wear and extend wear life.…”
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Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action by Alexey A. Semenov

“…Shallow shells of double curvature are often used as elements of building structures and are subjected to various external effects, including dynamic periodic loads. …”
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Supersymmetric Dyons, Superstrings, and Rotating Wormholes by E. Olszewski

“…In the case of the vanishing spin, the scalar curvature is finite everywhere. In the case of the nonvanishing spin, we find a frame dragging effect due to the spin. …”
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Boundary behavior of capillary surfaces possibly with extremal boundary angles by Fei-Tsen Liang

“…For solutions to the capillarity problem possibly with the boundary contact angle θ being 0 and/or π in a relatively open portion of the boundary which is C2, we will show that if the solution is locally bounded up to this portion of boundary, the trace of the solution on this portion is piecewise Lipschitz continuous and the solution is Hölder continuous up to the boundary, provided the prescribed mean curvature is bounded from above and from below. In the case where θ is not required to be bounded away from π/2, 0, and π, and the mean curvature H(x,t0) belongs to Lp(Ω) for some t0∈ℝ and p>n, under the assumption that in a neighborhood of a relatively open portion of the boundary the solution is of rotational symmetry, the trace of the solution on this portion of the boundary is shown to be Hölder continuous with exponent 1/n if n≥3 and with exponent 1/3 if n=2.…”
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