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作品数:1728被引量:2203H指数:16
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相关领域:理学更多>>
相关作者:方向晨杨涛孙素华刘建锟蒋立敬更多>>
相关机构:抚顺石油化工研究院上海交通大学中国科学院吉林大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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L^(2) Extension and Effectiveness of L^(p) Strong Openness Property
《Acta Mathematica Sinica,English Series》2023年第5期814-826,共13页Shi Jie BAO Qi An GUAN 
The second author was supported by NSFC(Grant Nos.11825101,11522101 and 11431013)。
In this note,we present an L^(2) extension approach to the effectiveness result of L^(P) strong openness property of multiplier ideal sheaves.
关键词:Optimal L^(2)extension multiplier ideal sheaf L^(P)strong openness property 
The Birth–death Processes with Regular Boundary: Stationarity and Quasi-stationarity被引量:1
《Acta Mathematica Sinica,English Series》2022年第5期890-906,共17页Wu Jun GAO Yong Hua MAO Chi ZHANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11501531,11701265,11771047)。
For the birth–death Q-matrix with regular boundary,its minimal process and its maximal process are closely related.In this paper,we obtain the uniform decay rate and the quasi-stationary distribution for the minimal ...
关键词:Birth-death process regular boundary EIGENVALUE hitting time strong stationary time quasi-stationary distribution 
Magic Labeling of Disjoint Union Graphs
《Acta Mathematica Sinica,English Series》2019年第11期1817-1826,共10页Tao WANG Ming Ju LIU De Ming LI 
Supported by National Natural Science Foundation of China;North China Institute of Science and Technology Applied Mathematics Innovation Team;Fundamental Research Funds for the Central Universities(Grant Nos.11702094,3142018059 and 3142015043)
Let G be a graph with vertex set V(G),edge set E(G)and maximum degreeΔrespectively.G is called degree-magic if it admits a labelling of the edges by integers{1,2,...,|E(G)|}such that for any vertex v the sum of the l...
关键词:Supermagic GRAPHS degree-magic GRAPHS STRONG vertex-magic edge COLORING 
A Note on Strong Edge Coloring of Sparse Graphs被引量:1
《Acta Mathematica Sinica,English Series》2019年第4期577-582,共6页Wei DONG Rui LI Bao Gang XU 
supported by NSFC(Grant No.11571180);NSFC(Grant Nos.11701142,11426085);partially supported by NSFC(Grant Nos.11571180,11331003 and 11426085);partially supported by Natural Science Foundation of Jiangsu Province(Grant No.BK20170862)
A strong edge coloring of a graph is a proper edge coloring where the edges at distance at most 2 receive distinct colors. The strong chromatic index χ'_s(G) of a graph G is the minimum number of colors used in a str...
关键词:STRONG edge COLORING maximum AVERAGE DEGREE SPARSE graph 
Strong 3-Commutativity Preserving Maps on Standard Operator Algebras
《Acta Mathematica Sinica,English Series》2017年第12期1659-1670,共12页Mei Yun LIU Jin Chuan HOU 
Supported by Natural Science Foundation of China(Grant No.11671294)
Let X be a Banach space of dimension ≥ 2 over the real or complex field F and A a standard operator algebra in B(X). A map Ф : A→A is said to be strong 3-commutativity preserving if [Ф(A), Ф(B)]a = [A, B]3...
关键词:3-commutators standard operator algebras Banach spaces PRESERVERS 
On Strong Embeddability and Finite Decomposition Complexity被引量:4
《Acta Mathematica Sinica,English Series》2017年第3期403-418,共16页Jun XIA Xian Jin WANG 
Supported by National Natural Science Foundation of China(Grant No.11231002)
The strong embeddability is a notion of metric geometry, which is an intermediate property lying between coarse embeddability and property A. In this paper, we study the permanence properties of strong embeddability f...
关键词:Metric geometry strong embeddability coarse invariance permanence properties finitedecomposition complexity 
Strong Skew Commutativity Preserving Maps on Rings with Involution被引量:3
《Acta Mathematica Sinica,English Series》2016年第6期745-752,共8页Chang Jing LI Quan Yuan CHEN 
Supported by Natural Science Foundation of Shandong Province,China(Grant No.ZR2015Item PA010);National Natural Science Foundation of China(Grant Nos.11526123 and 11401273)
Let R be a unital *-ring with the unit I. Assume that R contains a symmetric idempotent P which satisfies ARP= 0 implies A = 0 and AR(I - P) = 0 implies A = 0. In this paper, it is shown that a surjective map Ф:...
关键词:Strong skew commutativity preserving von Neumann algebras prime rings 
On the Laws of Large Numbers for Double Arrays of Independent Random Elements in Banach Spaces被引量:1
《Acta Mathematica Sinica,English Series》2014年第8期1353-1364,共12页Andrew ROSALSKY Le Van THANH Nguyen Thi THUY 
supported by the Vietnam Institute for Advanced Study in Mathematics(VIASM);the Vietnam National Foundation for Sciences and Technology Development NAFOSTED(Grant No.101.01.2012.13);supported by NAFOSTED(Grant No.101.03.2012.17)
For a double array of independent random elements {Vmn,m ≥ 1,n ≥ 1} in a real separable Banach space,conditions are provided under which the weak and strong laws of large numbers for the double sums mi=1 nj=1Vij,m ...
关键词:Real separable Banach space double array of independent random elements strong and weak laws of large numbers almost sure convergence convergence in probability Rademacher type p Banach space 
Instability of Standing Wave for the Klein–Gordon–Hartree Equation
《Acta Mathematica Sinica,English Series》2014年第5期861-871,共11页Xiao Guang LI Jian ZHANG Yong Hong WU 
The first author is supported by the Key Project of Chinese Ministry of Education(Grant No.211162);Sichuan Province Science Foundation for Youths(Grant No.2012JQ0011);the second author is supported byNational Natural Science Foundation of China(Grant No.11371267)
The instability property of the standing wave uω(t, x) = eiωtφ(x) for the Klein–Gordon– Hartree equation is investigated. For the case N≥3 and w2 〈2/N+4-γ,it is shown that the standing wave eiwtφ(x) is...
关键词:Klein–Gordon–Hartree equation standing waves strong instability 
The Learning Rate of l_2-Coefcient Regularized Classifcation with Strong Loss被引量:1
《Acta Mathematica Sinica,English Series》2013年第12期2397-2408,共12页Bao Huai SHENG Dao Hong XIANG 
Supported by National Natural Science Foundation of China(Grant Nos.10871226,11001247 and 61179041);Natural Science Foundation of Zhejiang Province(Grant No.Y6100096)
In the present paper, we give an investigation on the learning rate of l2-coefficient regularized classification with strong loss and the data dependent kernel functional spaces. The results show that the learning rat...
关键词:Kernel classification learning rate coefficient regularization strong convex loss function 
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