关于Fejér平均的正逼近定理

本文改进了Ｆｏｕｒｉｅｒ级数Ｆｅｊéｒ平均的正逼近定理的证明，给出了较文［１］、［２］更为简捷的证明方法。     

刘向文章风格论

在雄奇、壮丽的周秦文章之后,汉朝文章以醇厚、典雅作为了自己的主导风格.汉文的这一特色在刘向的文章中展示得十分充分.刘向既能把广征博引、旁喻远比之手段发挥到极至,又能最大限度地保留自己的个性与风格;既善于仿古取貌,又能师心独创,斟酌于经籍而不乏己见,侈陈灾异之说而寓其政见.所以能脱颖而出,成为这种文风的代表.     

Developing social skills in autistic children through ‘Relaxed Performances’

Families living with autism often feel unable to attend social and cultural events, largely due to the fear of their child attracting negative or even aggressive reactions from others. The ‘joint attention’ that is part of the theatre experience, however, may be a powerful factor in the development of social and communication skills for such children. ‘Relaxed performances’ offer an opportunity for them to access and engage with theatre by making special arrangements designed to reduce tensions associated with visits to public places. Aspects of the production such as the use of lighting and sound effects which may trigger adverse reactions are also adjusted. This paper reports on how one local theatre drew on the findings of a national project to mount a ‘relaxed performance’ of their annual pantomime. It discusses the theatre's preparations and presents evidence of the impact the event had on local children with autism and their families. The success of both the national project and this local one marks a new beginning for improved access to the theatre for an audience that has hitherto felt largely excluded.     

论隆庆时期"南倭北虏"问题的缓和

隆庆时期,在经济、政治的发展,军事力量的壮大,以及其他一些有利因素的条件下,明朝通过开放海禁、“俺答封贡”使一直困绕明朝的“南倭北虏”问题得到基本解决,促进了社会的发展,影响了历史的进程。     

一类无限时滞随机泛函微分方程解的存在唯一性

在Lipschitz条件和线性增长条件下,利用压缩映像原理,获得了具有无穷时滞的随机泛函微分方程解局部存在唯一的充分条件。     

Banach空间中一类广义变分包含的迭代解

在Banach空问中介绍一类涉及集值映射的广义变分包含问题，构造其迭代序列，并证明迭代序列收敛于变分包含问题的解，给出迭代解与解的误差估计，是几位作早期与最近的相应结果的改进与推广。     

Parameter fault detection and estimation of a class of nonlinear systems using observers

The focus of this paper is on the detection and estimation of parameter faults in nonlinear systems with nonlinear fault distribution functions. The novelty of this contribution is that it handles the nonlinear fault distribution function; since such a fault distribution function depends not only on the inputs and outputs of the system but also on unmeasured states, it causes additional complexity in fault estimation. The proposed detection and estimation tool is based on the adaptive observer technique. Under the Lipschitz condition, a fault detection observer and adaptive diagnosis observer are proposed. Then, relaxation of the Lipschitz requirement is proposed and the necessary modification to the diagnostic tool is presented. Finally, the example of a one-wheel model with lumped friction is presented to illustrate the applicability of the proposed diagnosis method.     

具有快速与慢速分量微分方程的稳定性定理

在正规线性空间上讨论微分方程系统X′(t)=F(t,x,y)X′(t)=ε.G(t,x,y),这里参数ε很小。证明了如果F和G满足Lipschitz条件,F(t,x,y)对y的小的值是指数稳定的,系统在x和y对1/ε阶时间周期的持久扰动是稳定的。考虑扰动系统X′(t)=F(t,x,y) J(t),X′(t)=ε.G(t,x,y) K(t),这里J(t)和K(t)从S到S 1的积分值很小。从而得到存在仅依赖于F和G的常数A,B,C和λ,使对σ≤λ,如果初始值和持久扰动比σ小,且ε≤σ,则解X(t)和Y(t)对一切时间t有界σAeBtε,使得σeBtε≤C。     

第二类拟Hermite—Fejér 插值多项式逼近Lipschitz类函数的极值(英文)

设Q_n(f,x)是以第二类Chebyshev多项式的零点为基点的第二类拟Hermite-Fejer插值,本文研究的极值。     

d-退化图松弛均匀着色的一个注记

松弛均匀着色是松弛着色的一类特殊情况,它要求任意两个色类的顶点数之差至多为1．d-退化图是指每个导出子图都存在度至多为d的顶点的图．证明了若顶点数位rt的d-退化图G的最大度至多为△,且K≥18d,n≥17△．则G存在均匀（k-1,1）着色．