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设△ ̄(2)_(mx)是矩形域D=[a,b][c,d]的Ⅱ-型三角剖分.S ̄(1,1)_3(△ ̄(2)_(mx)是带边界条件的三元三次样条空间:本文我们将讨论一类S ̄(1,1)_3(△ ̄(2)_(mx))的插值问题,证明了它的存在性,唯一性及逼近阶:如果f∈C ̄4(D),则有|f-s|≤k(l).max(ρ△,ρ ̄(-1)_△).‖f‖..h ̄2. 相似文献
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余道洒 《高校应用数学学报(A辑)》1997,(4)
{X,Xi,i≥1}是i.i.d.r.v′.s.在矩母函数存在的条件下,由古典的Erdos-Rényi大数律有limn→∞max0≤k≤n∑k+[clogn]i=k+1Xi[clogn]=α(c),α(c)为某常数.自正则下MiklósCsorgo&ShaoQiman(1994)在仅要求一阶矩的条件下就得到了:limn→∞max0≤k≤n∑k+[clogn]i=k+1Xi∑k+[clogn]i=k+1(X2i+1)=β(c),β(c)为某常数.众所周知,自正则下人们往往在较弱条件下取得相应结果是因为:分母中的X能有效抵销分子中X较大而引起整个分式极限行为的波动.因此,在什么样的条件下,式max0≤k≤n∑k+[clogn]i=k+1Xi∑k+[clogn]i=k+1X2i1-β[clogn]β→r(c)成为非常有意思的问题,因为它将依赖于β的大小.本文给出,当0<β≤12时,只要E(X)≥0,上式就有有限极限.当12<β<1时,则必须在矩母函数存在下,上式才有有限极限.并都求出了其极限表达式. 相似文献
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万有Teichmuller空间T是所有规范的拟对称同胚组成的集合,在Bers嵌入下,T与△上共形映射的Schwarz导数密切相关,本文讨论由规范的对称同胚所 子集T0的相应性质。 相似文献
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本文在[1]的基础上,证明了Schrodinger型方程tu= (k+ iβ)△u- |u|ρu- λu- g(x), u(x, 0)= u0. 其中k, ρ, λ> 0, x∈Rn 在加权sobolev 空间中指数吸引子的存在性. 相似文献
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关于Fibonacci三角形的又一结果许康华(浙江省富阳中学311400)陈计先生在文[1]中介绍了如下猜想:当1≤k<n时,不存在以(Fn-k,Fn,Fn)为边长的Fibonacci三角形.文[2]指出,要证明这个猜想,只需证明不存在以(F3m,F... 相似文献
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设无挠Fuchs群T及其子群Г’对应的Poincar级数算子为,对于Г的Teichmller空间T(Г)中的任意一点[f],有相应的算子,其中Гf=fГf-1,从而的范数,为T(Г)上的函数.众所周知.本文证明了在整个没有小于1的上界 相似文献
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万有Teichmüler空间T是所有规范的拟对称同胚组成的集合.在Bers嵌入下,T与Δ上共形映射的Schwarz导数密切相关.本文讨论由规范的对称同胚所组成的子集T0的相应性质. 相似文献
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一个涉及六条角平分线的几何不等式 总被引:1,自引:0,他引:1
1994年,刘健在文献[1]中建立了以下一个几何不等式:(r2r3)k+(r3r1)k+(r1r2)k≤19k(h2ka+h2kb+h2kc)①其中0<k≤1,r1,r2,r3表示△ABC内部任一点至三边的距离,ha,hb,hc表示△ABC的三高.特... 相似文献
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The properties of the extremal sets of extremal quasiconformal mappings are discussed. It is proved that if an extremal Beltrami coefficient μ(z) is not uniquely extremal, then there exists an extremal Beltrami coefficient v(z) in its equivalent class and a compact subset E Δ with positive measure such that the essential upper bound of v(z) on E is less than the norm of [μ]. 相似文献
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Andrew Thomason 《Discrete Mathematics》2008,308(19):4370-4377
Given integers r and s, and n large compared to r and s, we determine the maximum size of a graph of order n having no minor isomorphic to sKr, the union of s disjoint copies of Kr.The extremal function depends on the relative sizes of r and s. If s is small compared to r the extremal function is essentially independent of s. On the other hand, if s is large compared to r, there is a unique extremal graph ; this assertion is a generalization of the case r=3 which is a classical result of Erd?s and Pósa. 相似文献
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Huacheng ZhuJixiu Chen 《Journal of Mathematical Analysis and Applications》2002,273(2):283-293
In this paper, we make some further considerations of the characteristic conditions of (infinitesimally) unique extremality for Beltrami coefficients obtained by Bozin et al., and find some sufficient conditions simpler in form for a Beltrami coefficient μ with nonconstant absolute value to be (infinitesimally) uniquely extremal. 相似文献
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高维代数簇的半线收缩已具有很多研究。将它们推广到极面收缩对高维簇的双有理分类理论是很有意义的。设X是非奇异的n维射影簇,L是X上的ample除子,f:X→Y是以Kx(n-3)L为支撑除子的极面收缩映射。当f不是双有理映射,Belktrametti等人系统的研究了f的结构。本文主要研究f是双有理映射时的情形。一个完整的结构定理被给出。 相似文献
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Daniel B. Dalan 《Designs, Codes and Cryptography》2003,30(2):151-157
It is known that it is possible to construct a generator matrix for a self-dual code of length 2n+2 from a generator matrix of a self-dual code of length 2n. With the aid of a computer, we construct new extremal Type I codes of lengths 40, 42, and 44 from extremal self-dual codes of lengths 38, 40, and 42 respectively. Among them are seven extremal Type I codes of length 44 whose weight enumerator is 1+224y
8+872y
10+·. A Type I code of length 44 with this weight enumerator was not known to exist previously. 相似文献
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Angela Spalsbury 《Proceedings of the American Mathematical Society》1998,126(9):2737-2745
We characterize the minimal vectors (or extremal vectors) for the operator of multiplication by on We then give an application to infinite systems of equations.
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We obtain a generalization of Turáns theorem for graphs whose edges are assigned integer weights. We also characterize the extremal graphs in certain cases. © 1997 John Wiley & Sons, Inc. J Graph Theory 25: 267–275, 1997 相似文献
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We prove that every bipartite C2l‐free graph G contains a C4‐free subgraph H with e(H) ≥ e(G)/(l – 1). The factor 1/(l – 1) is best possible. This implies that ex(n, C2l) ≤ 2(l – 1)ex(n, {C4, C2l}), which settles a special case of a conjecture of Erd?s and Simonovits. © 2004 Wiley Periodicals, Inc. J Graph Theory 48: 147–156, 2005 相似文献
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We single out the class of so-called quasiregular Lagrangians, which have singularities on the zero section of the cotangent bundle to the manifold on which extremal networks are considered. A criterion for a network to be extremal is proved for such Lagrangians: the Euler--Lagrange equations must be satisfied on each edge, and some matching conditions must be valid at the vertices. 相似文献