首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 140 毫秒
1.
李桂贞 《大学数学》2006,22(4):100-103
讨论了高阶Genocchi数的性质,建立了一些包含高阶Genocchi数和高阶Euler-Bernoulli数的恒等式.  相似文献   

2.
丛上的相交数与Euler数   总被引:1,自引:1,他引:0  
王伟沧  徐栩 《数学杂志》2003,23(4):394-396
本文主要研究了带边流形上丛截面的相交数.应用作倍流形上的向量场的延拓,我们得到了带边流形上的Euler数用相交数的表示.  相似文献   

3.
独立数的另一类关系   总被引:2,自引:0,他引:2  
王建言  张忠辅 《数学杂志》1991,11(2):129-132
本文研究了图的独立数与边独立数、独立数与全独立数、边独立数与全独立数、图的独立数与其补图边独立数、图的独立数与其补图的全独立数、图的边独立数与其补图全独立数之间的关系,得到了不可改进的结果  相似文献   

4.
利用递推关系把文[1]、[2]中的有关结论推广到一般情形,建立起涉及Euler数、Bernoulli数和推广的第一类Stirling数的一些恒等式。  相似文献   

5.
高阶Euler数的推广及其应用   总被引:2,自引:0,他引:2  
给出了高阶Euler数的一种Apostol型(看T.M.Apostol,[Pacific J.Math.,1(1951),161~167])推广,我们称之为高阶Apostol-Euler数,然后推导出它的几个递推公式并给出了它们的一些特殊情况和应用,从而得到了相应的高阶Euler数和经典Euler数的新公式.  相似文献   

6.
简超 《数学通报》1998,(4):35-36
关于连续Fibonacci数的公式简超(武汉铁路成人中专430012)设Fn表示Fibonacci数:F1=F2=1,Fn+2=Fn+Fn+1,n=1,2,3,…并约定F0=0.本文给出关于连续Fibonacci数的几类公式,并证明文[1]的猜想成立...  相似文献   

7.
模糊数的四则运算性质及其线性方程   总被引:6,自引:3,他引:3  
讨论模糊数的加、减、乘、除的运算性质,提出模糊数线性方程的概念,并给出这种方程的一种解法。  相似文献   

8.
图G的Alon-Tarsi数,是指最小的k使得G存在一个最大出度不大于k-1的定向D满足G的奇支撑欧拉子图的个数不同于偶支撑欧拉子图的个数.通过分析Halin图的结构,利用Alon-Tarsi定向的方法确定了Halin图的Alon-Tarsi数.  相似文献   

9.
若E,F是Banach空间,E自反,u^2 E→F为有界线性算子,本文得到了u的Gelfand数ce(u)与u的entropy数en(u)之间的关系.  相似文献   

10.
一组向量是否线性相关,同数域是否有关?回答是肯定的。例如,向量组 α_1=(1,0),α_2=(2~(1/2),0)在实数城R上线性相关,而在有理数域Q上线  相似文献   

11.
This note generalizes the formula for the triangular number of the sum and product of two natural numbers to similar results for the triangular number of the sum and product of r natural numbers. The formula is applied to derive formula for the sum of an odd and an even number of consecutive triangular numbers.  相似文献   

12.
A positive integer is called a (Ore's) harmonic number if its positive divisors have integral harmonic mean. Ore conjectured that every harmonic number greater than is even. If Ore's conjecture is true, there exist no odd perfect numbers. In this paper, we prove that every odd harmonic number greater than must be divisible by a prime greater than .

  相似文献   


13.
We study prime and composite numbers in the sequence of integer parts of powers of a fixed real number. We first prove a result which implies that there is a transcendental number ξ>1 for which the numbers [ξn !], n =2,3, ..., are all prime. Then, following an idea of Huxley who did it for cubics, we construct Pisot numbers of arbitrary degree such that all integer parts of their powers are composite. Finally, we give an example of an explicit transcendental number ζ (obtained as the limit of a certain recurrent sequence) for which the sequence [ζn], n =1,2,..., has infinitely many elements in an arbitrary integer arithmetical progression. This revised version was published online in June 2006 with corrections to the Cover Date.  相似文献   

14.
The set of hybrid numbers 𝕂 is a noncommutative number system that unified and generalized the complex, dual, and double (hyperbolic) numbers with the relation ih =− hi =ε+ i. Two hybrid numbers p and q are said to be similar if there exist a nonlightlike hybrid number x satisfying the equality x −1 qx = p . And, it is denoted by p ∼ q . In this paper, we study the concept of similarity for hybrid numbers by solving the linear equations px = xq and qx − xp = c for ◂,▸p,q,c𝕂.  相似文献   

15.
Let σ=(σ1,…,σN), where σi=±1, and let C(σ) denote the number of permutations π of 1,2,…,N+1, whose up-down signature sign(π(i+1)-π(i))=σi, for i=1,…,N. We prove that the set of all up-down numbers C(σ) can be expressed by a single universal polynomial Φ, whose coefficients are products of numbers from the Taylor series of the hyperbolic tangent function. We prove that Φ is a modified exponential, and deduce some remarkable congruence properties for the set of all numbers C(σ), for fixed N. We prove a concise upper bound for C(σ), which describes the asymptotic behaviour of the up-down function C(σ) in the limit C(σ)?(N+1)!.  相似文献   

16.
《Discrete Mathematics》2019,342(4):1089-1097
Given integers pq>1, a family of sets satisfies the (p,q) property if among any p members of it some q intersect. We prove that for any fixed integer constants pq>1, a family of d-intervals satisfying the (p,q) property can be pierced by O(dqq1) points, with constants depending only on p and q. This extends results of Tardos, Kaiser and Alon for the case q=2, and of Kaiser and Rabinovich for the case p=q=log2(d+2). We further show that similar bounds hold in families of subgraphs of a tree or a graph of bounded tree-width, each consisting of at most d connected components, extending results of Alon for the case q=2. Finally, we prove an upper bound of O(d1p1) on the fractional piercing number in families of d-intervals satisfying the (p,p) property, and show that this bound is asymptotically sharp.  相似文献   

17.
18.
On Miki's identity for Bernoulli numbers   总被引:1,自引:0,他引:1  
We give a short proof of Miki's identity for Bernoulli numbers,
  相似文献   

19.
In this paper, we consider a kind of sums involving Cauchy numbers, which have not been studied in the literature. By means of the method of coefficients, we give some properties of the sums. We further derive some recurrence relations and establish a series of identities involving the sums, Stirling numbers, generalized Bernoulli numbers, generalized Euler numbers, Lah numbers, and harmonic numbers. In particular, we generalize some relations between two kinds of Cauchy numbers and some identities for Cauchy numbers and Stirling numbers.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号