SUFFICIENT_CONDITIONS

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Sufficient Conditions for Maximally Edge-connected and Super-edge-connected Digraphs Depending on the Size
《Acta Mathematica Sinica,English Series》2019年第12期1861-1870,共10页Sebastian MILZ Lutz VOLKMANN 
Let D be a finite and simple digraph with vertex set V(D).The minimum degreeδof a digraph D is defined as the minimum value of its out-degrees and its in-degrees.If D is a digraph with minimum degreeδand edge-connec...
关键词：DIGRAPHS EDGE-CONNECTIVITY MAXIMALLY edge-connected DIGRAPHS super-edge-connected DIGRAPHS 
Sufficient Conditions for Shift-Invariant Systems to be Frames in L^2(R^n)
《Acta Mathematica Sinica,English Series》2013年第8期1629-1636,共8页Deng Feng LI Tao QIAN 
Supported by National Natural Science Foundation of China (Grant No.61071189);the support of the Science and Technology Development Fund of Macao Special Administrative Region (Grant No.056/2010/A3)
The main purpose of this paper is to establish some new sufficient conditions under which shift-invariant systems become frames in L2（Rn）. As applications, we obtain new results for Gabor frames.
关键词：Shift-invariant system FRAME sufficient condition 
Some Sufficient Conditions for Convergent Multivariate Subdivision Schemes with Nonnegative Finite Masks
《Acta Mathematica Sinica,English Series》2012年第7期1411-1420,共10页Min WU Jia Li ZHOU 
Supported by Zhejiang Provincial Natural Science Foundation of China (Grant Nos. Y1100440, Y1110491);Science & Technology Program of Zhejiang Province (Grant No. 2009C34006);Foundation of Zhejiang Educational Committee (Grant No. Y201018286);Major Science & Technology Projects of Zhejiang Province (Grant No. 2011C11050)
It is well known that the convergence of multivariate subdivision schemes with finite masks can be characterized via joint spectral radius. For nonnegative masks, we will present in this paper some computable simply s...
关键词：Cascade algorithm dilation equation joint spectral radius MASK subdivision scheme 
Some Sufficient Conditions for Tunnel Numbers of Connected Sum of Two Knots Not to Go Down
《Acta Mathematica Sinica,English Series》2011年第11期2229-2244,共16页Guo Qiu YANG Feng Chun LEI 
The first author is supported by Development Program for Outstanding Young Teachers in Harbin Institute of Technology （HITQNJS.2009.029）; the second author is supported by National Natural Science Foundation of China （Grant No. 15071034）
In this paper, we show the following result： Let Ki be a knot in a closed orientable 3- manifold Mi such that （Mi,Ki） is not homeomorphic to （S^2 × S^1,x0 × S^1）, i = 1,2. Suppose that the Euler Characteristic ...
关键词：Tunnel number Heegaard splitting Heegaard distance meridional surface 
Some Sufficient Conditions on the Number of Non-abelian Subgroups of a Finite Group to be Solvable被引量：3
《Acta Mathematica Sinica,English Series》2011年第5期891-896,共6页Jiang Tao SHI Cui ZHANG 
Supported by National Natural Science Foundation of China （Grant No. 10871032）, China Postdoctoral Science Foundation （Grant No. 20100470136）; the second author is supported in part by ＂Agencija za raziskovalno dejavnost Republike Slovenije＂, proj. mladi raziskovalci, ＂Agencija za raziskovalno dejavnost Republike Slovenije＂, Research Program P1-0285
Thompson＇s theorem indicates that a finite group with a nilpotent maximal subgroup of odd order is solvable. As an important application of Thompson＇s theorem, a finite group is solvable if it has an abelian maximal...
关键词：Finite group abelian subgroup solvable group 
Analogues of Hadwiger's Theorem in Space IR^n—Sufficient Conditions for a Convex Domain to Enclose Another被引量：2
《Acta Mathematica Sinica,English Series》1995年第1期12-22,共11页Zhou Jiazu Department of Mathematics,Guizhou Normal University,Guiyang,550001 China Li Haizhong Department of Mathematics,Zhengzhou University,Zhengzhou,450052 China Chen Xingyue Department of Mathematics,Chongqing Teacher’s College,Yongchuan,632168 China 
We estimate the kinematic measure of one convex domain moving to another under the group G of rigid motions in IR~n.We first estimate the kinematic formula for the total scalar curvature ∫Rdv of the n-2 dimensional i...
关键词：Analogues of Hadwiger’s Theorem in Space IR~n Sufficient Conditions for a Convex Domain to Enclose Another IR 
On the Sufficient Conditions for the Existence of Limit Cycles of the System （dx）-（dt）=y,（dy）/（dt）=（?）bijxiyj
《Acta Mathematica Sinica,English Series》1985年第3期255-260,共6页黄克成 
关键词：On the Sufficient Conditions for the Existence of Limit Cycles of the System DT DX dy ij)x~iy~j 
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