关于m型序列的密集区域

本文估计序列{|cm|^1/m}的密集区域，其中{cm}是m型的。     

一类基于m序列码的阵列码

通过对阵列 H码和 m序列码的分析 ,本文证明了阵列 H码中的一类正规 H码与 m序列码间的关系     

任意m值随机变量序列与独立序列的比较及其极限性质

设｛Ｘｎ，ｎ≥１｝是在Ｓ＝｛１，２，…，ｍ｝中取值的随机变量序列，其联合分布为ｐ（ｘ１，…，ｘｎ），（ｐ１１，ｐ１２，…，ｐ１ｍ）（ｉ＝１，２，…）是Ｓ上的一列分布，ｋ∈Ｓ，Ｓｎ（ｋ，ω）是ｋ在序列Ｘ１（ω），Ｘｎ（ω）中出现的次数。ψｎ（ω）＝∑＾ｎｉ＝１ｌｏｇｐｉｘｉ－ｌｏｇｐ（Ｘ１，…，Ｘｎ）称为（Ｘｉ，１≤ｉ≤ｎ）相对于乘积分布∏＾ｎｉ＝１ｐｉｘｉ的对数似然比，Ｓｎ（ｋ，ω）－∑＾ｎｉ＝１     

m序列的移位相减性

ｍ序列是一类最重要的线性移位寄存器序列．文献［１］证明了移位相加是２元ｍ序列的特有性质，本文证明了任意的ｑ元ｍ的序列都具有移位相减性，并说明了移位相加是移位相减的特例。     

广义m阶Bernoulli数和广义m阶Euler数的计算公式

使用发生函数方法,利用第一类Stirling数和第二类Stirling数分别给出广义m阶Bernoulli数和广义m阶Euler数的计算公式.     

关于收敛函数序列的一个定理

本文通过把一个函数序列转化为另一个函数序列的相邻项的线性组合,得到一种判断函数序列一致收敛并求其极限函数的方法。     

关于模糊数序列收敛性问题的研究

讨论了模糊数序列在EW-型积分度量下的收敛性问题.首先给出了模糊数序列关于EW-型积分度量、水平EW-型度量以及水平EW-型测度收敛的概念;其次,讨论了模糊数序列关于EW-型积分度量、下方图度量以及水平度量收敛之间的关系,证明了在一定条件下模糊数序列关于EW-型积分度量、下方图度量以及水平度量收敛的等价性.     

m-可乘序列谱测度的关联维数

作者利用关联函数的递减速度与Fourier谱特征之间的关系,计算出无穷m -可乘序列谱测度的关联维数. 且通过对m -可乘序列关联函数的研究,验证了其谱测度是奇异连续的结论.     

关于相关收敛函数序列的一个命题

本文在［１］，［２］的基础上，给出了满足ｇｎ（ｘ）＝Ｃｏｆｎ（ｘ）＋Ｃ１ｆｎ－１（ｘ）＋…＋Ｃｋｆｎ－ｋ（ｘ）的相关函数序列｛ｆｎ（ｘ）｝和｛ｇｎ（ｘ）｝的极限间制约关系的一个命题，从而得到一种判断函数序列一致收敛并且求其极限函数的方法。     

扩展Kasami序列的相关特性

利用有限域上二次型理论讨论了ｐ（ｐ为奇素数）元Ｋａｓａｍｉ序列一种扩展形式的相关特性，求出了扩展Ｋａｓａｍｉ序列的相关函数值，证明在一定条件下，扩展Ｋａｓａｍｉ序列最大自相关旁瓣值和最大互相关模值可以接近Ｗｅｌｃｈ下限．     

-Difference sequence spaces of fuzzy numbers

In this paper, using the difference operator of order m and an Orlicz function, we introduce and examine some classes of sequences of fuzzy numbers. We give the relations between the strongly Cesàro type convergence and statistical convergence in these spaces. Furthermore, we study some of their properties like completeness, solidity, symmetricity, etc. We also give some inclusion relations related to these classes.     

On powers of the Catalan number sequence

The Catalan number sequence is one of the most famous number sequences in combinatorics and is well studied in the literature. In this paper we further investigate its fundamental properties related to the moment problem and prove for the first time that it is an infinitely divisible Stieltjes moment sequence in the sense of S.-G.  Tyan. Besides, any positive real power of the sequence is still a Stieltjes determinate sequence. Some more cases including (a) the central binomial coefficient sequence (related to the Catalan sequence), (b) a double factorial number sequence and (c) the generalized Catalan (or Fuss–Catalan) sequence are also investigated. Finally, we pose two conjectures including the determinacy equivalence between powers of nonnegative random variables and powers of their moment sequences, which is supported by some existing results.     

求m阶递推数列通项公式的两种方法

利用分析中的解析函数方法和代数中的矩阵方法,得到了m阶常系数齐次线性递推数列通项公式的解析表达式,是对已有结果的完善和推广.     

广义的k阶Fibonacci-Jacobsthal序列及其性质

定义了一类广义的k阶Fibonacci-Jacobsthal序列,并给出了第四个初值条件.借助矩阵的方法得到了Jacobsthal序列与Jacobsthal-Lucas序列的关系,广义k阶Fibonacci-Jacobsthal序列与Jacobsthal序列,Fibonacci序列的关系,同时给出了k阶Fibonacc...     

A NEW CHARACTERIZATION OF THE BINOMIAL SEQUENCE

ＡＮＥＷＣＨＡＲＡＣＴＥＲＩＺＡＴＩＯＮＯＦＴＨＥＢＩＮＯＭＩＡＬＳＥＱＵＥＮＣＥ￥ＣＨＥＮＧＳＨＩＸＵＥＡｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ａｎｅｗｃｈａｒａｃｔｅｒｉｚａｔｉｏｎｏｆｔｈｅｂｉｎｏｍｉａｌｓｅｑｕｅｎｃｅａｎｄｉｔｓｅｑｕｉ...     

Normality concerning the sequence of functions

Let {f_n} be a sequence of functions meromorphic in a domain D, let {h_n} be a sequence of holomorphic functions in D, such that that h(z)→h(z), where h.(z)→0 is holomorphic in D, and let k be a positive integer. If for each n∈N~+, f_n(z)≠0 and f_n~(k)(z)-h_n(z) has at most k distinct zeros(ignoring multiplicity) in D, then {f_n} is normal in D.     

On the multiplicative properties modulo m of numbers with missing digits

We obtain upper bounds for character sums modulo a composite number over sets of numbers with missing digits in a number system. We derive results on the solvability of congruences of the form x ₁ ? x _t ≡ λ (mod m) in the numbers with missing digits and also asymptotic formulas for the number of solutions.     

The degree sequence of Fibonacci and Lucas cubes

The Fibonacci cube Γ_n is the subgraph of the n-cube induced by the binary strings that contain no two consecutive 1’s. The Lucas cube Λ_n is obtained from Γ_n by removing vertices that start and end with 1. It is proved that the number of vertices of degree k in Γ_n and Λ_n is and , respectively. Both results are obtained in two ways, since each of the approaches yields additional results on the degree sequences of these cubes. In particular, the number of vertices of high resp. low degree in Γ_n is expressed as a sum of few terms, and the generating functions are given from which the moments of the degree sequences of Γ_n and Λ_n are easily computed.     

广义图K(n,m)的全色数

1965年,M.Behzad和Vizing分别提出了著名的全着色猜想:即对于简单图G有:XT(G)≤△+2,其中△是图G的最大度.本文确定了完全图Kn的广义图K(n,m)的全色数,并利用它证明了Lm×Kn(m≥3)是第Ⅰ型的.     

关于任意B值r.v.序列的强收敛性的注

本文对仅在矩条件限制下的任意B值r.v.序列的强收敛性进行讨论,改进推广了已有的几个结果,使之成为本文结论的推论,同时也推广了其它相关的经典结论.