R2 Corrections to the Jet Quenching Parameter by Zi-qiang Zhang, De-fu Hou, Yan Wu, Gang Chen

“…It is shown that these corrections will increase or decrease the jet quenching parameter depending on the coefficients of the high curvature terms.…”
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Changes and Diurnal Variation of Visual Quality after Orthokeratology in Myopic Children by Hao-Chen Guo, Wan-Qing Jin, An-Peng Pan, Qin-Mei Wang, Jia Qu, A-Yong Yu

“…MTF decreased significantly (P<0.01). Corneal curvature and ocular total aberration decreased (P<0.001), while the ocular and corneal higher-order aberration increased significantly (P<0.01). …”
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Assessment of the bypass of obturation materials beyond fractured instruments after using different obturation techniques in simulated curved canals (An in-vitro study). by Ammar Aziz Lateef, Mohammed Rasheed Hameed, Noor Hayder Fadhil, Ahmed Hamid Ali

“…Sixty resin blocks with simulated root canals were used, each with a 50° curvature, a 6.5 mm radius of curvature, and a length of 16.5 mm, prepared to an ISO #15 diameter and taper. …”
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Effect of Autoclave Sterilization on the Number of Uses and Resistance to Cyclic Fatigue of WaveOne Gold and Four Replica-Like Endodontic Instruments by Gustavo Ragozzini, Amjad Abu Hasna, Fernando Antonio Siano dos Reis, Felipe Bernardo de Moura, Tiago Moreira Bastos Campos, Carlos Eduardo Silveira Bueno, Cláudio Antonio Talge Carvalho, Alexandre Sigrist de Martin

“…One hundred and fifty human molars, freshly extracted for orthodontic reasons or periodontal disease and with severe curvature (between 30° and 60°), were used. Fifty teeth were instrumented with 10 instruments from each group and were evaluated for integrity. …”
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Calculation of Correction Factors for Vickers’ Hardness Measurements on a Non-Planar Surface by S. G. Sandomirski, A. L. Val’ko, S. P. Rudenko

“…Regulatory documents contain table values of correction factors K which depend on the surface shape (convex or concave, spherical or cylindrical), its curvature (diameter D) and hardness (arithmetic mean d of indentation diagonal lengths) but this does not solved the problem. …”
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Global visualization of adolescent idiopathic scoliosis treatment: a bibliometric analysis by Xiaodong Zheng, Xiaodong Zheng, Wenjin Han, Shan Gao, MengLong Jia, LiJun Liu, LiJun Liu, Longtan Yu

“…Notably, areas such as Cobb angle measurement, the efficacy of non-surgical treatments for AIS, and factors influencing the success of brace treatment garnered significant attention as hot topics in adolescent idiopathic scoliosis treatment.ConclusionThe prognosis remains consistent across patients with varying degrees of curvature in adolescent idiopathic scoliosis. Given the limited understanding of its etiology, the relationship between curvature and prognosis, as well as the exploration of its underlying causes, could emerge as new research directions in the future.…”
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Relationship between Myopia Progression and School Entrance Age: A 2.5-Year Longitudinal Study by Linjie Liu, Dandan Jiang, Chunchun Li, Yaoyao Lin, Wenzhe Zhou, Haishao Xiao, Yanyan Chen

“…Their noncycloplegic refraction was measured twice each year by using an automatic refractometer; axial length (AL) and corneal radius of curvature (CRC) were tested annually by using the IOLMaster for 2.5 years. …”
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Evaluation of the effect of temperature on cyclic fatigue resistance of three types of Nickel-Titanium rotary files with various alloy properties: An in vitro study by Dara H. Saeed, Fadi A. Rafea

“…Twenty files for each instrument were tested for cyclic fatigue at (20°C and 37°C) temperatures and rotated until fracture occurred in a simulated canal with an angle curvature of about 60°, a radius curvature of 5 mm, and a canal width of 1.5 mm. …”
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Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms by Ibrahim Al-Dayel

“…The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations. …”
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Flow of MHD Carreau Fluid in a Curved Channel by Saima Noreen, Tasawar Hayat, Ahmed Alsaedi

“…Analysis has been made for the curvature effects on the MHD peristaltic flow of an incompressible Carreau fluid in a channel. …”
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Darboux Vector in Four-Dimensional Space-Time by Na Hu, Tingting Zhang, Yang Jiang

“…In addition, according to some characteristics of Darboux vectors in geometry, we define some new space curves in four-dimensional space-time and describe them with curvature functions. Finally, we give some examples.…”
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On Differential Equations Derived from the Pseudospherical Surfaces by Hongwei Yang, Xiangrong Wang, Baoshu Yin

“…We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar σ = −2, σ = −1, respectively. By employing the Bäcklund transformation, nonlinear superposition formulas of sinh-Gordon equation and elliptic sinh-Gordon equation are derived; various new exact solutions of the equations are obtained.…”
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Algebro-Geometric Solutions for a Discrete Integrable Equation by Mengshuang Tao, Huanhe Dong

“…By means of discrete zero curvature equation, we obtain a discrete integrable hierarchy. …”
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A Family of Minimal Surfaces and Univalent Planar Harmonic Mappings by Michael Dorff, Stacey Muir

“…Moreover, the identification process used to recognize the surfaces provides a connection to surfaces that give tight bounds on curvature estimates first studied in a 1988 work by Hengartner and Schober.…”
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Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4) by Yan Cao, Liangyun Chen, Baiying He

“…Furthermore, we construct bi-integrable couplings for this hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Hamiltonian structures of the obtained bi-integrable couplings are constructed by the variational identity.…”
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Legendre Invariance and Geometrothermodynamics Description of the 3D Charged-Dilaton Black Hole by Yiwen Han, XiaoXiong Zeng

“…This result is valid for the black hole, therefore, provides a geometrothermodynamics description of black hole phase transitions in terms of curvature singularities.…”
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Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds by Shenyang Tan, Tiren Huang, Wenbin Zhang

“…We also get universal inequalities for eigenvalues of elliptic operators in divergence form on compact domains of complete submanifolds admitting special functions which include the Hadamard manifolds with Ricci curvature bounded below and any complete manifolds admitting eigenmaps to a sphere.…”
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Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E3 by Ibrahim Al-Dayel, E. M. Solouma

“…From this point and depending on the type-2 Bishop curvature, we provide the necessary and sufficient conditions that allow these surfaces to be developable in a minimal amount of time. …”
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A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation by Xi-Xiang Xu, Meng Xu

“…An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established. …”
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Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression by Li Jian, Rao Xiong, Tang Mao, Deng Yuanyuan, Xiong Meiling

“…A foundation for the derivation of the expression of pressure angle and main curvature is laid,and a reference for computer aided design and manufacture of spatial cams is provided.…”
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