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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 
RELATIVE ENTROPY DIMENSION FOR COUNTABLE AMENABLE GROUP ACTIONS
《Acta Mathematica Scientia》2023年第6期2430-2448,共19页肖祖彪 殷正宇 
supported by the NNSF of China (12201120,12171233);the Educational Research Project for Young and Middle-aged Teachers of Fujian Province (JAT200045).
We study the topological complexities of relative entropy zero extensions acted upon by countable-infinite amenable groups.First,for a given Følner sequence,we define the relative entropy dimensions and the dimensions...
关键词:amenable groups relative entropy dimensions relative dimension sets 
REGULARIZATION OF PLANAR VORTICES FOR THE INCOMPRESSIBLE FLOW被引量:2
《Acta Mathematica Scientia》2018年第5期1443-1467,共25页Daomin CAO Shuangjie PENG Shusen YAN 
In this paper, we continue to construct stationary classical solutions for the incompressible planar flows approximating singular stationary solutions of this problem. This procedure is carried out by constructing sol...
关键词:REGULARIZATION planar vortices vorticity sets REDUCTION 
LEVEL SETS AND EQUIVALENCES OF MORAN-TYPE SETS
《Acta Mathematica Scientia》2016年第5期1343-1357,共15页杜亚丽 苗俊杰 吴敏 
supported by NSFC (11201152);supported by NSFC(11371148);STCSM(13dz2260400);FDPHEC(20120076120001);Fundamental Research Funds for the central Universities,scut(2012zz0073);Fundamental Research Funds for the Central Universities SCUT(D2154240);Guangdong Natural Science Foundation(2014A030313230)
In the paper, we consider Moran-type sets E;given by sequences {a;};and{n;};. we prove that E;may be decompose into the disjoint union of level sets. Moreover,we define three type of equivalence between two dimension ...
关键词:Moran-type sets dimension function level set logarithmical equivalence 
A REMARK ON LIMINF SETS IN DIOPHANTINE APPROXIMATION
《Acta Mathematica Scientia》2015年第1期189-194,共6页刘佳 孙钰 
supported by NSFC(11171124)
Let Q be an infinite set of positive integers, τ 〉 1 be a real number and let Wτ(Q)={x∈R:|x-p/q|〈^-τ for infinitely many (p,q)∈ Z×Q}.For any given positive integer m, set Q(m)={n∈N:(n,m)=1}. If m...
关键词:liminf set Diophantine approximation Liouville number 
MEIR-KEELER TYPE CONTRACTIONS FOR TRIPLED FIXED POINTS
《Acta Mathematica Scientia》2012年第6期2119-2130,共12页Hassen Aydi Erdal Karapvnar Calogero Vetro 
supported by Università degli Studi di Padermo,Local Project R.S.ex 60\char37
In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler con...
关键词:tripled fixed point theorems Meir-Keeler type contractions partially or-dered sets 
ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS被引量:1
《Acta Mathematica Scientia》2010年第3期1004-1012,共9页杨燕 钱涛 
sponsored by the National Natural ScienceFunds for Young Scholars (10901166);the Scientific Research Foundation for the Youth Scholars of Sun Yat-SenUniversity;the Research Grant of University of Macao on Applications of Hyper-Complex Analysis (cativo:7560)
In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefficients, then it has two types of zeroes: the real isolated zeroes and the spherical conjuga...
关键词:Clifford algebra zeroes of polynomials 
ADMISSIBILITY IN THE GENERAL GROWTH CURVE MODEL WITH RESPECT TO RESTRICTED PARAMETER SETS UNDER MATRIX LOSS FUNCTION被引量:1
《Acta Mathematica Scientia》2010年第1期27-38,共12页张尚立 覃红 
supported by the NNSF of China(60736047,10671080);NCET(06-672)
In this paper, we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function. We obtain some neces- sary and sufficient conditions that the linear e...
关键词:growth curve model linear estimation ADMISSIBILITY incomplete ellipsoidalrestriction 
PROPERTIES OF SOME SETS OF SEQUENCES DEFINED BY A MODULUS FUNCTION
《Acta Mathematica Scientia》2009年第2期427-434,共8页Yavuz Altin 
In this article, the author introduces the generalized difference paranormed sequence spaces c (△v^m, f, p, q, s), c0 (△v^m, f, p, q, s), and l∞ (△v^m, f, p, q, s) defined over a seminormed sequence space (...
关键词:Difference sequence modulus function SEMINORM 
MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, Ⅱ被引量:1
《Acta Mathematica Scientia》2004年第1期83-90,共8页仪洪勋 吕巍然 
Project Supported by the Natural Science Foundation of Shandong;the National Natural Science Foundation of China.
This paper deals with the problem of uniqueness of meromorphic functions, and gets the following result: There exists a set S with 13 elements such that any two non-constant meromorphic functions / and g satisfying E(...
关键词:Nevanlinna theory meromorphic function uniqueness theorem 
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