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设G是有限群,Ns(G)表示G的子群共轭类长构成的集合.本文研究Ns(G)中只有两个元素时有限群G的结构,在非幂零情形时给出了G的完全分类,在幂零情形时获得了G的一些性质. 相似文献
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本文给出了带正则*-断面的正则半群的若干性质,获得了带拟理想正则*-断面的正则半群的一个构造方法.利用这一构造定理,考虑了这类半群上的同余. 相似文献
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杨奇祥 《数学物理学报(B辑英文版)》2011,(4):1517-1534
If we use Littlewood-Paley decomposition, there is no pseudo-orthogonality for Ho¨rmander symbol operators OpS m 0 , 0 , which is different to the case S m ρ,δ (0 ≤δ < ρ≤ 1). In this paper, we use a special numerical algorithm based on wavelets to study the L p continuity of non infinite smooth operators OpS m 0 , 0 ; in fact, we apply first special wavelets to symbol to get special basic operators, then we regroup all the special basic operators at given scale and prove that such scale operator’s continuity decreases very fast, we sum such scale operators and a symbol operator can be approached by very good compact operators. By correlation of basic operators, we get very exact pseudo-orthogonality and also L 2 → L 2 continuity for scale operators. By considering the influence region of scale operator, we get H 1 (= F 0 , 2 1 ) → L 1 continuity and L ∞→ BMO continuity. By interpolation theorem, we get also L p (= F 0 , 2 p ) → L p continuity for 1 < p < ∞ . Our results are sharp for F 0 , 2 p → L p continuity when 1 ≤ p ≤ 2, that is to say, we find out the exact order of derivations for which the symbols can ensure the resulting operators to be bounded on these spaces. 相似文献
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We provide estimates on the degree of C l GV determinacy ( G is one of Mather’s groups R or K ) of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives an explicit order such that the C l geometrical structure of a function germ is preserved after higher order perturbations, which generalizes the result on C l G triviality of function germs given by M.A.S.Ruas. 相似文献
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SHANG Li & ZHANG HePing School of Information Science Engineering Lanzhou University Lanzhou China School of Mathematics Statistics 《中国科学 数学(英文版)》2010,(4)
It has been shown that a λ m-connected graph G has the property λ m (G)≤ξ m (G) for m≤3.But for m≥4,Bonsma et al.pointed out that in general the inequality λ m (G)≤ξ m (G) is no longer true.Recently Ou showed that any λ 4-connected graph G with order at least 11 has the property λ 4 (G)≤ξ 4 (G).In this paper,by investigating some structure properties of a λ m-connected graph G with λ m (G) ξ m (G),we obtain easily the above result.Furthermore,we show that every λ m-connected graph G with order greater than m(m-1) satisfies the inequality λ m (G)≤ξm (G) for m≥5.And by constructing some examples,we illustrate that our conditions are the best possible. 相似文献
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BOSE Arup 《中国科学A辑(英文版)》2009,(6)
We study the asymptotic distribution of the L1 regression estimator under general condi-tions with matrix norming and possibly non i.i.d.errors.We then introduce an appropriate bootstrap procedure to estimate the distribution of this estimator and study its asymptotic properties.It is shown that this bootstrap is consistent under suitable conditions and in other situations the bootstrap limit is a random distribution. 相似文献
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EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L~2-SPACES 总被引:1,自引:0,他引:1
Wei Li Zhou HaiyunSchool of Mathematics Statistics Hebei University of Economics Business Shijiazhuang China. Inst.of Appl.Math.and Mech. Ordnance Engineering College Shijiazhuang China. 《高校应用数学学报(英文版)》2005,(2)
§ 1 Introduction and preliminariesThe equations related to the p- L aplacian operatorΔp have been studied in differentaspects[1— 4 ] sinceΔp arises from a variety of physical phenomena such as non Newtonianfluids,reaction- diffusion problems,etc.In this paper,the following equation(1) which canbe regarded as an extension of those in[1— 4 ]will be discussed:- div(α(gradu) ) +|u(x) |p- 2 u(x) +g(x,u(x) ) =f (x) a.e. onΩ-〈n,α(gradu)〉∈βx(u(x) ) ,a.e.onΓ . (1) More details can b… 相似文献
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胡迪鹤 《数学物理学报(B辑英文版)》2003,23(2)
The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} of {gn,ow} is obtained. It is useful to generate the fractal in computer. 相似文献
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