CONVEXITY

作品数：156被引量：162H指数：6
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相关作者：王廷辅更多>>
相关机构：哈尔滨理工大学中国科学技术大学湘潭大学更多>>
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Three-dimensional characterization of particle morphology in natural gravel and blasted rock fragments using SfM-MVS photogrammetry
《River》2025年第1期70-83,共14页Hongchen Liu Zitao Zhang Huaizhi Su Xuedong Zhang Jing Hu 
National Natural Science Foundation of China,Grant/Award Numbers:51809290,51979093,52239009;Project funded by Tibet Autonomous Region Key R&D Plan,Grant/Award Number:XZ202101ZY0002G;Postgraduate Research&Practice Innovation Program of Jiangsu Province,Grant/Award Number:No.KYCX22_0656。
This study aims to develop a high-precision and cost-efficient method for the threedimensional reconstruction of large particles in natural gravel and blasted rock fragments,utilizing Structure from Motion(SfM)and Mul...
关键词：3D reconstruction ANGULARITY CONVEXITY particle morphology shape form 
Γ-convexity
《Acta Mathematica Scientia》2025年第1期3-15,共13页Zhouqin JIA Wenzhi LIU Liping YUAN Tudor ZAMFIRESCU 
supported by the NSFC(12271139,11871192);the High-end Foreign Experts Recruitment Program of People’s Republic of China(G2023003003L);the Program for Foreign experts of Hebei Province;the Natural Science Foundation of Hebei Province(A2023205045);the Special Project on Science and Technology Research and Development Platforms,Hebei Province(22567610H);the program for 100 Foreign Experts Plan of Hebei Province.
Let F be a family of sets in R^(d)(always d≥2).A set M■R^(d)is called F-convex,if for any pair of distinct points a,y∈M,there is a set F∈F such that x,y∈F and F■M.We obtain theΓ-convexity,when F consists of F-p...
关键词：Γ-convexity Γ-starshaped sets Γ-triple-convexity 
LOG-CONCAVITY OF THE FIRST DIRICHLET EIGENFUNCTION OF SOME ELLIPTIC DIFFERENTIAL OPERATORS AND CONVEXITY INEQUALITIES FOR THE RELEVANT EIGENVALUE
《Acta Mathematica Scientia》2025年第1期143-152,共10页Andrea COLESANTI 
supported by the project Disuguaglianze analitiche e geometriche,funded by the Gruppo per Analisi Matematica la Probabilitàe le loro Applicazioni.
Given an open bounded subset Ω of ℝ^(n) we consider the eigenvalue problem{Δu-(■u,■V)=-λvu,u>0inΩ,u=0 onδΩ,where V is a given function defined inΩandλV is the relevant eigenvalue.We determine sufficient cond...
关键词：EIGENVALUE LOG-CONCAVITY elliptic operator Brunn-Minkowski inequality convex body 
Geometry of Numerical Range of Linear Operator Polynomial
《Chinese Annals of Mathematics,Series B》2025年第1期151-162,共12页Deyu WU Alatancang CHEN 
supported by the National Natural Science Foundation of China(No.11561048);the Natural Science Foundation of Inner Mongolia(No.2023MS01011)。
Let B(X)be the algebra of all bounded linear operators on a Hilbert space X.Consider an operator polynomial P(λ)=A_(m)λ^(m)+A_(m-1)λ^(m-1)+……-+A_(0),where Ai∈B(X),i=0,1,…,m.The numerical range of P(λ)is define...
关键词：Linear operator polynomial Numerical range Connectedness CONVEXITY Block numerical range 
A function associated with spherically convex sets
《苏州科技大学学报（自然科学版）》2024年第4期76-83,共8页GUO Qi 
国家自然科学基金项目(12071334,11671293)。
This paper introduced a kind of functions associated with spherically convex sets and discussed their basic properties.Finally,it proved the spherical convexity/concavity of these functions in lower dimensional cases,...
关键词：spherical convexity spherical support function spherical radial function canonical transformation 
Retrospective and prospective review of the generalized nonlinear strength theory for geomaterials
《International Journal of Minerals,Metallurgy and Materials》2024年第8期1767-1787,共21页Shunchuan Wu Jiaxin Wang Shihuai Zhang Shigui Huang Lei Xia Qianping Zhao 
This research was financially supported by the National Natural Science Foundation of China(Nos.51934003,52334004);Yunnan Innovation Team(No.202105AE 160023);Major Science and Technology Special Project of Yunnan Province,China(No.202102AF080001);Yunnan Major Scientific and Technological Projects,China(No.202202AG050014);Key Laboratory of Geohazard Forecast and Geoecological Restoration in Plateau Mountainous Area,MNR,and Yunnan Key Laboratory of Geohazard Forecast and Geoecological Restoration in Plateau Mountainous Area.
Strength theory is the basic theory for calculating and designing the strength of engineering materials in civil,hydraulic,mechanical,aerospace,military,and other engineering disciplines.Therefore,the comprehensive st...
关键词：rock mechanics rock mass strength strength theory failure criterion Hoek-Brown criterion intermediate principal stress deviatoric plane smoothness and convexity 
A generalized nonlinear three-dimensional Hoek‒Brown failure criterion被引量：2
《Journal of Rock Mechanics and Geotechnical Engineering》2024年第8期3149-3164,共16页Jiaxin Wang Shunchuan Wu Haiyong Cheng Junlong Sun Xiaolong Wang Yaxi Shen 
supported by the National Natural Science Foundation of China(Grant Nos.51934003,52334004);Yunnan Major Scientific and Technological Projects(Grant No.202202AG050014)。
To understand the strengths of rocks under complex stress states,a generalized nonlinear threedimensional(3D)Hoek‒Brown failure(NGHB)criterion was proposed in this study.This criterion shares the same parameters with ...
关键词：Rock mechanics HoekeBrown criterion Failure criterion Intermediate principal stress True triaxial test Smoothness and convexity 
Deterministic and Robust Volt-var Control Methods of Power System Based on Convex Deep Learning
《Journal of Modern Power Systems and Clean Energy》2024年第3期719-729,共11页Qing Ma Changhong Deng 
Volt-var control(VVC)is essentially a non-convex optimization problem due to the non-convexity of power flow(PF)constraints,resulting in the difficulty in obtaining the optimum without convexity conversion.The existin...
关键词：Volt-var control convexity conversion convex deep learning power flow 
SEMI-PROXIMAL POINT METHOD FOR NONSMOOTH CONVEX-CONCAVE MINIMAX OPTIMIZATION
《Journal of Computational Mathematics》2024年第3期617-637,共21页Yuhong Dai Jiani Wang Liwei Zhang 
supported by the Natural Science Foundation of China(Grant Nos.11991021,11991020,12021001,11971372,11971089,11731013);by the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA27000000);by the National Key R&D Program of China(Grant Nos.2021YFA1000300,2021YFA1000301).
Minimax optimization problems are an important class of optimization problems arising from modern machine learning and traditional research areas.While there have been many numerical algorithms for solving smooth conv...
关键词：Minimax optimization Convexity-concavity Global convergence Rate of con-vergence Locally metrical subregularity 
CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET
《Acta Mathematica Scientia》2024年第1期234-246,共13页王晓慧 
supported in part by the National Natural Science Foundation of China(12101088);the Natural Science Foundation of Sichuan Province(2022NSFSC1858)。
This paper is devoted to the study of the shape of the free boundary for a threedimensional axisymmetric incompressible impinging jet.To be more precise,we will show that the free boundary is convex to the fluid,provi...
关键词：Euler system axisymmetric impinging jet INCOMPRESSIBLE free boundary CONVEXITY 
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