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1.
f.f.p.维数   总被引:2,自引:0,他引:2  
丁南庆 《数学学报》1991,34(1):40-47
本文对每个环R定义了同调维数l.f.f.p.D(R),并讨论了该维数与环的弱维数及整体维数之间的关系。同时刻画了l.f.f.p.D(R)为有限的环。此外还计算了可换凝聚局部环的维数f.f.p.D(R)。H.Bass的一个早期结果是本文一主要结果之推论。  相似文献   

2.
M.K.d.V.方程的数值方法   总被引:1,自引:1,他引:0  
自从Zabusky和Kruskal用数值方法发现Soliton以来,Korteweg-de Vries(K.d.V.)方程的数值解法引起了广泛的兴趣,出现了大量的实际计算和某些理论分析结果。例如[1—8],郭本瑜最近的报告回顾了这方面的工作。比较起来,另一类具有Soliton解的广义K.d.V.方程的数值解法研究得还不多,严格的理论分析结果尚未  相似文献   

3.
本文用 O′′′优先损害方法证明了在 d.r e.度中任何低的递归可枚举度 l 之上存在一个非稠密区间,即存在 d.r.e.度 d,l相似文献   

4.
p.n.p.矩阵的一些性质   总被引:1,自引:1,他引:0  
一个n阶实方阵若其各阶主子式皆非正,则称为部分非正阵,简写作p.n.p.矩阵.特别地,各阶主子式皆负的p.n.p.矩阵称为部分负矩阵,简写为p.n.矩阵。文[1]、[5]讨论了p.n.p.矩阵的谱性质。本文在[5]的基础上讨论了p.n.p.矩阵的若干性质,并给出p.n.p.矩阵特征值的某些估计式。 引理1 设A=(A_(ij)_n×n为一p.n.p.矩阵,则A的特征值之实部不全为负(n≥2)。 证 设λ_1,λ_2,…,λ_n为A的全部特征值。假定A的每一特征值之实部皆为负。分两种情  相似文献   

5.
本文用O(?)优先损害方法证明了d.r e.度中任何低的递归可枚举度ι之上存在一个非稠密区间,即存在d.r.e.度d,ι相似文献   

6.
Examining the B-coefficient relations between two adjacent s-simplicies with given smoothness requirements, we find a compromise technique between btp-coefficients and B-coefficients to calculate a bivariate locally supported spline, give another proof of the BM-splines in S_(100)(4d, 3d-1, △_2) and establish the BM-splines in S_2~1, and S_4,  相似文献   

7.
钱磊  丁德成 《中国科学A辑》1994,37(9):897-901
证明了在任何非递归r.e.度之下都存在孤立d-r.s.度。  相似文献   

8.
本文对方程(1)的等价系统(2)之全局分枝问题给出了完整的结果如图1所示.  相似文献   

9.
关于p.n.p.矩阵的谱性质   总被引:3,自引:1,他引:2  
§1 引言 定义1 设∈R~n×n),若A的每一k阶主子式是非正的,1≤k≤n,则称A是一偏非正矩阵,简称p.n.p.矩阵。 特别地,若一p.n.p.矩阵的每一k阶主子式是负的,1≤k≤n,则称此矩阵为偏负矩阵,简称为p.n.矩阵。 1974年J.J.Johnson给出了p.n.p.矩阵具有一负特征值的充分条件以及p.n.矩阵的两个谱性质。  相似文献   

10.
在文献[1]中,R.M.Stepheson.Jr.提出问题:是否每一个局部弱紧的,第一可数的正则的空间都存在一个第一可数的正则的一闭扩充?在此文中,我们给出了一个非弱紧而局部弱紧空间 X 具有形状为 X ∪{∞}的,第一可数的正则一闭扩充的充分必要条件,同时得到了两个有趣的推论。  相似文献   

11.
利用加强了的H lder′s不等式及Eu ler-M aclaurin求和公式对两个带参数的H ardy-H ilbert型不等式作了改进,建立了一些新的不等式.  相似文献   

12.
通过建立弱条件下的Eu ler-M aclaurin求和公式的余项估值式,精确估算权系数,给出一个逆向的H ardy-H ilbert型不等式.作为应用,考虑了它的加强式及等价形式.  相似文献   

13.
A q, z-analogue and of polynomials of binomial type gives rise to a bibasic extension of the q-Saalschütz identity.  相似文献   

14.
We give a Newton type rational interpolation formula (Theorem 2.2). It contains as a special case the original Newton interpolation, as well as the interpolation formula of Liu, which allows to recover many important classical q-series identities. We show in particular that some bibasic identities are a consequence of our formula.  相似文献   

15.
In this paper, we give several new transformation formulae and generalize one result obtained by Singh [U.B. Singh, Certain bibasic hypergeometric transformations and their applications, J. Math. Anal. Appl. 201 (1996) 44-56] with the help of Bailey's transform. Further, some new multiple series identities of the Rogers-Ramanujan type are established.  相似文献   

16.
A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gauss’s summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gauss’s second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon.  相似文献   

17.
Book review     
Hypergeometric series identities are revisited systematically by means of Abel's method on summation by parts. Several new formulae and transformations are also established. The author is convinced that Abel's method on summation by parts is a natural choice in dealing with classical hypergeometric series.  相似文献   

18.
Applying Gauss and Watson’s famous hypergeometric summation theorems, the authors establish two pattern infinite summation formulas involving generalized harmonic numbers related to Riemann Zeta function.  相似文献   

19.
We show that, under certain conditions, the Fourier transform is completely characterized by Poisson's summation formula. Also, we propose a generalized transform which is derived from a Poisson-type summation formula, that we call a Fourier–Poisson transform.  相似文献   

20.
A recurrence, a determinant formula, and generating functions are presented for enumerating words with restricted letters by adjacencies. The main theorem leads to refinements (with up to two additional parameters) of known results on compositions, polyominoes, and permutations. Among the examples considered are (1) the introduction of the ascent variation on compositions, (2) the enumeration of directed vertically convex polyominoes by upper descents, area, perimeter, relative height, and column number, (3) a tri-variate extension of MacMahon's determinant formula for permutations with prescribed descent set, and (4) a combinatorial setting for an entire sequence of bibasic Bessel functions.  相似文献   

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