Three-dimensional illumination analysis in pipe-like complexities by ray-tracing modeling by Zhihua Cui, Zhihua Cui, Feng Tan, Feng Tan, Olusoji Lawrence Taiwo

“…We explore the impact of boundary edge curvature on illumination. The findings indicate that low curvature edges allow more rays to penetrate deeper into the boundary areas, potentially achieving higher illumination. …”
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Structural optimization design of novel Senegal vertical axis wind turbine by Zheng LI, Long ZHAO, Jie ZHANG, Qilong XIE, Hexu SUN

“…Aiming at the problem that the wind energy utilization of vertical axis wind turbines is slightly lower than that of horizontal axis wind power,a new wind turbine based on Senegalese (Senegal) type wind turbine was proposed. Firstly, the curvature of the rotor blades was optimized using the Bessel curve function and modeled using the SOLIDWORKS software, resulting in four different curvature curves for the blades; Secondly, the parameters such as wind energy utilization, moment coefficient, and their pressure distribution and velocity distribution plots at different tip speed ratios were compared and analyzed using computational fluid dynamics (CFD) model, and their wake characteristics were also compared; Finally, an experimental platform was built to verify the rationality of the simulation. …”
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Stationary BTZ space-time in Ricci-inverse and $$f({\mathcal {R}})$$ f ( R ) gravity theories by Faizuddin Ahmed, Abdelmalek Bouzenada

“…We consider a general class of this gravity theory, where the function f is defined by $$f({\mathcal {R}}, {\mathcal {A}}, A^{\mu \nu }\,A_{\mu \nu })$$ f ( R , A , A μ ν A μ ν ) , with $${\mathcal {R}}$$ R and $${\mathcal {A}}$$ A representing the Ricci and anti-curvature scalars, respectively and $$A^{\mu \nu }$$ A μ ν is the anti-curvature tensor. …”
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Influence of Structural Parameters of Main Load Train of Asymmetric Hub Bearings on Friction Torque by Tang Yibo, Qiu Ming, Yang Chuanmeng, Wang Huijie

“…The friction torque of asymmetrical hub bearings decreases when the curvature radius coefficient of left row groove and the number of steel balls of left row are appropriately increased. …”
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Pengaruh Variasi Mutu Baja Tulangan Pada Penampang Balok Beton Bertulang by Riza Aryanti

“…Penelitian ini bertujuan untuk menganalisis variasi mutu baja tulangan terhadap momen-curvature, daktilitas, concrete stress distribution dan neutral axis depth. …”
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Phytoplankton growth and succession driven by topography and hydrodynamics in seasonal ice-covered lakes by Ziyue Zhao, Yanfeng Wu, Y. Jun Xu, Yexiang Yu, Guangxin Zhang, Dehua Mao, Xuemei Liu, Changlei Dai

“…Therefore, attention should be paid to the surface curvature and slope of the sediment when controlling cyanobacterial blooms via by sediment dredging. …”
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Les mouvements dans l'espace L2 by Algimantas Pranas Urbonas

“…L'espace L2 à connexion linéaire de la curvature non nulle admet le groupe de 4 paramètres maximum. …”
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The Strict AKNS Hierarchy: Its Structure and Solutions by G. F. Helminck

“…We show the compatibility of these Lax equations and that they are equivalent to a set of zero curvature relations. We present a linearization of the system and conclude by giving a wide construction of solutions of this hierarchy.…”
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Totally real submanifolds of a complex space form by U-Hang Ki, Young Ho Kim

“…In particular, totally real submanifolds of a complex number space with parallel mean curvature vector are classified.…”
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On Bernstein-Type Theorems in Semi-Riemannian Warped Products by Wenjie Wang, Ximin Liu

“…By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type theorems which extend some known results proved by Camargo et al. (2011) and Colares and Lima (2012).…”
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A Schwarz lemma of harmonic maps into metric spaces by Jie Wang

“…We established a Schwarz lemma for harmonic maps from Riemannian manifolds to metric spaces of curvature bounded above in the sense of Alexandrov. …”
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Assessing left main bifurcation anatomy and haemodynamics as a potential surrogate for disease risk in suspected coronary artery disease without stenosis by R. Gharleghi, M. Zhang, C. Shen, M. Webster, C. Ellis, S. Beier

“…Finet’s ratio, vessel diameters and daughter branch curvature independently correlated to RRT (all p $$\,<\,$$ < 0.01). …”
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Analysis of Contact Strength of Asymmetric Gear for Small Diameter Turbodrill Reducer by Zhang Xiang, Zhou Qin, Zhang Kai

“…The results show that increasing the pressure angle of the driving side can increase the contact curvature radius and decrease the contact stress of the asymmetric gear. …”
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Corneal Biomechanics Determination in Healthy Myopic Subjects by Kunliang Qiu, Xuehui Lu, Riping Zhang, Geng Wang, Mingzhi Zhang

“….; all with p≤0.015), but not with corneal curvature or age; CRF was significantly correlated with CCT and IOPg (r=0.52 and 0.70, resp.; all with p<0.001), but not with axial length/refraction, corneal curvature, or age. …”
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Discrete Element Study of Particle Size Distribution Shape Governing Critical State Behavior of Granular Material by Mingdong Jiang, Daniel Barreto, Zhi Ding, Kaifang Yang

“…Additionally, a decrease in the coefficient of curvature (C_c) would also move the CSL downward but with negligible rotation. …”
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Implications of Diminishing Lifespan Marginal Utility for Valuing Equity in Cost-Effectiveness Analysis by R. Scott Braithwaite

“…Because DMLU is difficult to disambiguate from discounting, risk attitude, and other elements of utility “curvature,” it is poorly characterized. However, the imperative to consider equity in cost-effectiveness analysis (CEA) renders its characterization more important. …”
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Automatic Recognition Method of Letter Images in English Self-Learning Based on Partial Differential Equation Method by Yu Zhao, Shuping Du, Ran Li, Hong Yue

“…The existing partial differential equation recognition models based on average curvature motion are all edge-based and need to use the external force defined by the image gradient to attract the zero level set (evolution curve) to move to the target edge and finally stay on the target edge. …”
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Damage Identification by Using a Self-Synchronizing Multipoint Laser Doppler Vibrometer by Chong Yang, Yu Fu, Jianmin Yuan, Min Guo, Keyu Yan, Huan Liu, Hong Miao, Changchun Zhu

“…The results show that the artificial crack can be identified precisely from the change of natural frequencies and the difference of mode shape curvature squares.…”
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Cyclic Fatigue Resistance of Nickel–Titanium Rotary Instruments after Simulated Clinical Use by Hana R. Ubaed, Diyar Kh. Bakr

“…Then, all the instruments underwent cyclic fatigue testing in an artificial stainless steel canal with a 50° canal curvature and a radius of curvature of 5 mm. The time and number of cycles to failure (NCF) were recorded. …”
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A graphene-based photo-electro-thermal metamaterial for soft fixtures with superior grasping performance by Bowen Yang, Xuanchen Dong, Wenhao Lv, Wenzhuo Liu, Mengying Lu, Zhe Liu, Tonghui Lu, Xianglin Li, Song Lv

“…The SSM achieved rapid response (<5 s), low actuation energy (≤0.22 W cm⁻2 or ≤3.55 V), and large bending curvature (>0.18 mm⁻1), surpassing conventional designs in response speed (226.2% faster) and curvature (249.1% higher). …”
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