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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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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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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Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes by Reiner Ribarics, Michael Kenn, Rudolf Karch, Nevena Ilieva, Wolfgang Schreiner

“…We found that MHC α-helices undergo rapid but small changes in conformation. The curvature integral of helices proved to be a sensitive measure, which was closely related to changes in shape over time as confirmed by RMSD analysis. …”
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Safety Effects of Horizontal Curve Design and Lane and Shoulder Width on Single Motorcycle Accidents in Norway by Sara Kvasnes, Petr Pokorny, Jan Kristian Jensen, Kelly Pitera

“…The design elements considered in this study are horizontal curvature (curve type, degree of curvature, and adjacent curve requirements) and lane and shoulder widths. …”
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Study on the Damage Diagnosis of Ancient Wood Structure in Tianshui under Traffic Excitation by Xin Wang, Zhaobo Meng, Xicheng Zhang

“…The wavelet packet energy curvature difference index was proposed to determine the structural damage location. …”
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A LANDSLIDE SUSCEPTIBILITY ANALYSIS FOR BUZAU COUNTY, ROMANIA by VERONICA ZUMPANO, HAYDAR HUSSIN, PAOLA REICHENBACH, DAN BĂLTEANU, MIHAI MICU, SIMONE STERLACCHINI

“…Landslides are one of the most common hazards in the Romanian Curvature Carpathians and Subcarpathians, covering a wide range of geomorphic mass wasting forms and processes. …”
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Drawable Region of the Generalized Log Aesthetic Curves by R. U. Gobithaasan, R. Karpagavalli, Kenjiro T. Miura

“…This curve preserves the monotonicity of curvature and is said to produce visually pleasing curves. …”
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About the theory of relativity by V. Y. Stetsenko

“…It is shown that the fifth coordinate is needed for the curvature of the four‑dimensional space of general relativity. …”
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IDENTIFICATION DE RÉGIONS HOMOGÈNES DU POINT DE VUE HYDROLOGIQUE. ÉTUDE DE CAS: LA RÉGION DE LA COURBURE DE L’ARC CARPATIQUE by LILIANA ZAHARIA

“…Case study: the Carpathian Curvature region. The identification of homogeneous regions of the hydrological point of view constitutes a preliminary stage for certain methods of hydrological regionalization used in the practice (for example the method of the “index flood”) to estimate a hydrological variable of interest. …”
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