具有混合光滑性的Sobolev-Wiener类在L_q(R~d)中的平均宽度

本文研究了具有混合光滑性的Sobolev-Wiener类SpqrW在Lq(Rd)中的平均σ-K宽度(1相似文献   

具有混合导数的Sobolev类在L_q(R~d)中的平均宽度

本文研究了具有混合导数的Ｓｏｂｏｌｅｖ类ＳｒｐＷ在 Ｌｑ（Ｒｄ）中的平均σ－ Ｋ宽度（１＜ ｐ≤ｑ≤ ２）,得到了该量的弱渐近估计．     

具有混合光滑性的Holder-Nikolskii-Wiener类在Lq(Rd)中的平均宽度（英文）

本文研究了具有混合光滑性的Holder-Nikolskii-Wiener类SrpqH在Lq(Rd)中的平均σ-K宽度(2≤q≤p<∞),得到了该量的弱渐近估计.     

具有混合导数的Sobolev类在Lq(Rd) 中的平均宽度

本文研究了具有混合导数的Sobolev类SprW在Lq()中的平均-K宽度(1<pq2),得到了该量的弱渐近估计.     

实轴上函数类W~rH~ω的平均n─宽度

对于ｒ阶导数的连续模被一个给定上凸连续模新控制的所有ｒ阶可微函数类，我们求出在ｌｏｏ（Ｒ）一范数下其平均ｎ－宽度，并找到了极优子空间。     

实轴上函数类WrHω的平均n─宽度

对于ｒ阶导数的连续模被一个给定上凸连续模新控制的所有ｒ阶可微函数类，我们求出在L_∞（Ｒ）一范数下其平均ｎ－宽度，并找到了极优子空间。     

算子代数的性质∏_σ和张量积

本文引入算子代数的性质Ⅱ_σ这一概念,证明了任一von Neumann代数中的套子代数和有限宽度CSL子代数都具有性质Ⅱ_σ.最后得到张量积公式alg_ML_1■alg_NL_2= alg_(M■N)(L_1L_2)成立,这里L_1和L_2分别是von Neumann代数M和N中的有限宽度CSL.     

各向异性Besov-Wiener类的平均宽度

得到了各向异性Besov Wiener类S^r_pqθb(R^d)和S^r_pqθB((R^d))在L_q(R^d) ( 1≤q≤p <∞ )内及其对偶情形的平均σ- K宽度和平均σ- L宽度的弱渐近估计 .     

关于6 Sigma与3 Sigma的比较

在企业推广6σ的过程中,经常有学员不明白为什么6σ比3σ好,甚至有人会说6σ的规格限比3σ的规格限宽,当然6σ的合格率比3σ的合格率高。本文认为文献[1]、[2]关于6σ与3σ的比较图是引起这种误会的根源。为此本文给出另外的比较和解释。     

σ-根与σ-半单类的构造

继［１～３］分别给出σ－根及其半单类的两个特征性质，研究了对于已知环类Ｍ，含于Ｍ的最大σ－根及σ－半单类和包含Ｍ的最小σ－半单类的构造，同时得到σ－半单闭包σ－遗传的一个充分条件．     

On the average crosscap number Ⅱ: Bounds for a graph

The bounds are obtained for the average crosscap number. Let G be a graph which is not a tree. It is shown that the average crosscap number of G is not less than 2β(G)-1/2β(G)-1β(G)β(G) and not larger than/β(G). Furthermore, we also describe the structure of the graphs which attain the bounds of the average crosscap number.     

Average widths of anisotropic Besov-Wiener classes

This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes Srp q θb(Rd) and Srp q θB(Rd) in Lq(Rd) (1≤q≤p＜∞). The weak asymptotic behavior is established for the corresponding quantities.     

On the average crosscap number II: Bounds for a graph

The bounds are obtained for the average crosscap number. Let G be a graph which is not a tree. It is shown that the average crosscap number of G is not less thanβ(G)-1/2β(G)-1β(G) and not larger thanβ(G). Furthermore, we also describe the structure of the graphs which attain the bounds of the average crosscap number.     

论平均预期寿命与平均死亡年龄

首先回顾了平均预期寿命和平均死亡年龄的定义,并总结了当前文献中提到的两者的区别,就其中存在的问题提出了质疑,并以中国人寿保险业经验生命表和中国企业生命表为例,验证了平均预期寿命与平均死亡年龄在数值上是一样的,并在理论上做了证明.结论是两者并不是"有本质区别的"并且两者都会受到死亡年龄结构的影响,同时得到了,平均剩余寿命加上年龄区间的下限值就等于该年龄人口的平均死亡年龄.     

Average Widths and Optimal Recovery of Multivariate Besov Classes in the Amalgams of Lq and lp

In this paper, we obtain some weak asymptotic results for average -K width, average -L width, and optimal recovery of Besov classes in the amalgams of L^q and l^p.     

Ranking Functions Induced by Weighted Average of Fuzzy Numbers

In this paper we present two definitions of possibilistic weighted average of fuzzy numbers, and by them we introduce two different rankings on the set of real fuzzy numbers. The two methods are dependent on several parameters. In the first case, the parameter is constant and the results generalize what Carlsson and Fuller have obtained in (2001). In the second case, the parameter is a function, not fixed a priori by the decision maker, but it depends on the position of the interval on the real axe. In all the two cases we call the parameter degree of risk, which takes into account of a risk-tendency or aversion of the decision maker.     

Average conditions for permanence and extinction in nonautonomous Lotka-Volterra system

An n species nonautonomous competitive Lotka-Volterra system is considered in this paper. The average conditions on the coefficients are given to guarantee that all but one of the species are driven to extinction. The generalization for the result is presented, that is, for each r?n the average conditions on the coefficients are provided to guarantee that r of the species in the system are permanent while the remaining n−r are driven to extinction. It is shown that these average conditions are improvement of those of Ahmad and Montes de Oca [Appl. Math. Comput. 90 (1998) 155-166] and Montes de Oca and Zeeman [Proc. Amer. Math. Soc. 124 (1996) 3677-3687] and [J. Math. Anal. Appl. 192 (1995) 360-370].     

从Euler K法正方程推导K法正方程

目的是在液体分子的分布符合局部Gibbs分布（正侧系综）的条件下,从Euler K泛函方程推导出描述液体平均密度,平均速度和平均能量演化的方程,作者从K的泛函形式出发,考察了Euler K泛函方程的一些特殊情形。通过这些特殊情形得到了所需的平均速度方程。平均密度方程和平均能量方程。     

一类非纯时滞非自治Lotka-Volterra竞争系统的持久性

讨论一类非纯时滞非自治Lotka-Volterra竞争系统,通过改进[4],[5]和[6]中一些方法,得到所有种群持久的充分条件,其结果推广了[4]的结论.