1) he second-class number
第二类数
1.
The concepts of the first-class number and the second-class number were introduced,and the conversions and properties of those two classes were dealt with,which came to a new conclusion.
从基本定理出发,推广了P-进制计数法,建立了广义P-进制系统,引入了第一类数、第二类数的概念,探讨了两者之间的转换关系以及性质,得到了新的结论,给出了应用举例。
2) stirling numbers of the second kind
第二类stirling数
1.
Relationship of Stirling numbers of the first kind and Stirling numbers of the second kind;
第一类Stirling数和第二类Stirling数的关系式
2.
The purpose of this paper is to give analogous definitions of Apostol type, obtain certain explicit formulas involving the Stirling numbers of the second kind and Gaussian hypergeometric functions respectively,discuss their special cases and applications.
利用Apostol的方法,推广了高阶Euler数和多项式,得到了它们分别用第二类Stirling数和Gauss超几何函数表示的公式,最后给出了一些相应的特殊情况和应用。
3.
In this paper,properties of generalized Stirling numbers of the second kind are discussed,some new recurrence formulas for Stirling numbers of the second kind have been obtained.
讨论了广义第二类Stirling数的性质,得到了第二类Stirling数的一些新的递归公式。
3) Stirling number of the second kind
第二类Stirling数
1.
Considering the complexity on calculating the binomial distribution moments on the origin of higher-order with definition,Stirling number of the second kind of combinatorics was applied to probability.
考虑到直接用定义计算二项分布高阶原点矩的复杂性,将组合数学中的第二类Stirling数应用到概率中,给出了利用第二类Stirling数求二项分布m阶原点矩的方法:,并用实例对此方法进行了验证。
2.
The problem of the partition of a finite set can be solved by Stirling number of the second kind.
有限集的划分计数问题可通过第二类Stirling数给出解答。
3.
Stirling number of the second kind n n-i can be expressed by combination number.
第二类Stirling数nn-i可用组合数表示。
4) Stirling number of second kind
第二类Stirling数
1.
Summation problem of the series ∑∞DDk=2f(k)ζ-(k) concerning Riemann Zeta function is researched by means of combinatorial mathematics and Stirling number of second kind, and the summation formula is given.
采用组合数学的方法,利用第二类Stirling数研究了与RiemannZeta函数有关的级数∑∞f(k)ζ—(k)的求和问题,并得出了求和公式,这个公式表述简洁并有鲜明的规律性。
2.
The new combinatorial identities of Stirling number of second kind and Bell polynomial are obtained and an application is given.
讨论了Riordan矩阵运用,获得第二类Stirling数和Bell多项式恒等式,并给出了其应用实例。
5) the general Stirling numbers of second kind
广义第二类Stirling数
1.
In the paper,we obtain the general Stirling numbers of second kind by the number of cut methods of a limited set,and then Stirling number of second kind becomes its solid example.
本文利用对有限集合的分划方案数提出了广义第二类Stirling数,使第二类Stirling数成为它的特例,并证明了广义第二类Stirling数的基本性质。
6) second Chebyshev function
第二类Chebyshev函数
补充资料：第二可数公理
第二可数公理
second axiom of eountabifity
第二可数公理〔，泊田吐.愈肪of~恤性万ty;翻p阳昵“oMae二ocm] 集合论的拓扑学中的概念.拓扑空间满足第二可数公理(~nd~m of coulltab正ty)，如果它们具有可数基(h滔e).满足此公理的空间类是由F.Haus-do叮给出的.这个空间类包含了所有可分度量空间(见可分空间(sep盼ble space)).满足第二可数公理的所有正则空间(侧到ar sPace)都拓扑地含于E团比吐立方体(H讯芜rt Cul又)，因而是可度量化且可分的(n.C.yp卜I明).于是，对满足此公理的正则空间的研究导致对更具体的对象—Hdbert立方体的子空间的研究.基于这一事实，到山饮滋立方体具有明显的拓扑重要性.具有可数基的有限维空间允许更进一步的具体化. B.3.Illall户治eK戒撰
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条