共查询到19条相似文献,搜索用时 46 毫秒
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设{u_k}_k≥0为一个线性递归序列.序列{u_k(mod q)}_(k≥0)是周期的,很多人都对其周期有过研究.本文应用二次数域中理想的理论,较完全地刻面了二次线性递归序列模q的周期长度,所获结果加强并推广了Engstrom及Wall的结论. 相似文献
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本文推广了Peterson和Taft的主要结果.主要证明了F[x1,x2,… ,xn]0与所有n元线性递归序列组成的集合是1-1对应的.从而可赋予后者一个Hopf代数结构.这样对研究多元线性递归序列内的运算性质(如Hurwitz与Hadamard乘法)提供了方便.此外还进一步研究了线性递归序列的解空间理论.并证明了n元线性递归序列的解空间由一个线性齐次偏微分方程组唯一确定. 相似文献
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樊守芳 《数学的实践与认识》2009,39(2)
探讨了形如Fn+2=a1Fnb1+1+a2Fbn2+1,n 1的非线性递归序列{Fn}的极限问题,给出了在满足一定条件时,序列{Fn}的极限值与初始值无关. 相似文献
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递归序列与高阶项式 总被引:7,自引:0,他引:7
刘国栋 《高等学校计算数学学报》2000,22(1):70-74
引 言关于递归序列与Euler-Bernoulli数和多项式、递归序列与高阶Euler-Bernoulli数和多项式的关系问题的研究一直是国内外许多学者感兴趣的课题,并有了许多研究成果(见[1]~[7]).本文首先对Euler-Bernoulli数和多项式、高阶Euler-Bernoulli数和多项式进行推广,提出高阶多元Euler数和多项式、高阶多元Bernoulli数和多项式的定义,然后讨论它们与递归序列的关系,文中得出的结果是P.F.Byrd[1],R.P.Kelisky[2]和Zhangzhizheng[3]的相应结果的推广和深化.2 定义和引理定义2.1 k阶s元Euler数E(k)v1…vs和k阶s元Bernoulli数B(k)v1…v… 相似文献
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The distribution on the torus R/Z of a set of fractions of theform
is investigated, where q is a large integer, is the inverse of m modulo q, R(x) is a rationalfunction defined modulo q, and U, M, N are subsets of {1,...,q}.Under some natural assumptions, it is shown that the set R isuniformly distributed on R/Z. 相似文献
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George Costakis Antonios Manoussos Ioannis Parissis 《Complex Analysis and Operator Theory》2014,8(8):1601-1643
We study the notion of recurrence and some of its variations for linear operators acting on Banach spaces. We characterize recurrence for several classes of linear operators such as weighted shifts, composition operators and multiplication operators on classical Banach spaces. We show that on separable complex Hilbert spaces the study of recurrent operators reduces, in many cases, to the study of unitary operators. Finally, we study the notion of product recurrence and state some relevant open questions. 相似文献
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Octavian Agratini 《Numerical Functional Analysis & Optimization》2013,34(6):605-612
The main goal of the article is to introduce a class of double complex linear operators of integral type. The technique is based by extension into the complex domain of a real positive approximation process. Involving the first modulus of continuity, we investigate their geometric and approximation properties. The statistical convergence of our sequence is proved. In a particular case, our operators turn into the double complex Gauss-Weierstrass integral operators. 相似文献
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给出广义Fibonacci等距子列的定义,求出以Fibonacci数fm为模的模数列的周期,由此得到求广义Fibonacci数列模fm的周期的算法. 相似文献
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Peter Danchev 《代数通讯》2013,41(3):933-947
We study the existence of several classes 𝒦 of Abelian p-groups, p a fixed prime, which possess the following property: A ∈ 𝒦?A/F ∈ 𝒦, whenever F is a finite subgroup of the Abelian p-group A. 相似文献
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Dong-Hyun Kim 《Acta Mathematica Hungarica》2001,90(1-2):75-83
We consider the asymptotic behavior of the distribution functions defined by FN(z)=1―N{1≦ n ≦ N : f(n)≦ z (mod 1)} in the case when f is q-additive. We give necessary and sufficient conditions for a q-additive function to have a uniform distribution modulo 1 or to have a non-uniform distribution modulo 1.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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Mathematical Notes - 相似文献
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利用严格对角占优M-矩阵的逆矩阵的无穷大范数的范围,给出了B-矩阵线性互补问题解的误差界新的上界估计序列,理论证明了新估计式优于已有文献的结果.相应数值算例表明了结果的有效性. 相似文献