Regularity of the inverse of a homeomorphism with finite inner distortion

Let f:Ω→ f(Ω) R~n be a W~(1,1)-homeomorphism with L~1-integrable inner distortion.We show that finiteness of min{lip_f(x),k_f/(x)},for every x ∈Ω\E,implies that f~(-1) ∈ W~(1,n)and has finite distortion,provided that the exceptional set E has cr-finite H~1-measure.Moreover,/ has finite distortion,differentiable a.e.and the Jacobian J_f 0 a.e.     

Quasi-maximum likelihood estimators in generalized linear models with autoregressive processes

The paper studies a generalized linear model(GLM)y_t = h(x_t~T β) + ε_t,t = l,2,...,n,where ε_1 = η_1,ε_1 =ρε_t +η_t,t = 2,3,...;n,h is a continuous differentiable function,η_t's are independent and identically distributed random errors with zero mean and finite variance σ~2.Firstly,the quasi-maximum likelihood(QML) estimators of β,p and σ~2 are given.Secondly,under mild conditions,the asymptotic properties(including the existence,weak consistency and asymptotic distribution) of the QML estimators are investigated.Lastly,the validity of method is illuminated by a simulation example.     

“基本不等式”复习课的教学反思——以浙江省深化课程改革下的新一轮高考复习为背景

<正>浙江省从2012年起全面启动深化普通高中课程改革.摆在2012届学生和教师面前的是新一轮高考将如何考,以及如何进行有效高考复习的问题.为此,我市举办了新一轮高考复习研讨会,在会议上采用同课异构形式开展了三节"基本不等式"复习课,以探讨新课程改革下的高考一轮复习思路.笔者撷取了两节复习课中的部分教学片断进行探讨.1教学案例1     

拟完全正则半群的同余格上的一类关系(英文)

本文讨论拟完全正则半群的具有同一超迹的两个同余构成的同余格上的关系T,证明该关系是同余格上的完备关系,其等价类为区间.并确定对于完全正则半群同余进行关于T的底运算得到的同余.     

关于丢番图方程x~3±1=3·2~αpD_1y~2

设D_1=multiply from i=1 to s q_i(s=1或2),q_i≡-1(mod6)(i=1,2,…,s)是彼此不同的奇素数,p≡1(mod6)为奇素数.运用初等方法讨论了丢番图方程x~3±1=3·2~αpD_1y~2(α=0或1)的正整数解的情况.     

横看成岭侧成峰 仔细品味各不同——一次“同课异构”引发的思考

2015年12月2日,我校举行了“基于大数据分析实施精准化教学”为主题的公开课展示活动.笔者有幸聆听了盐城中学李老师和梅村中学范老师教授的“函数f(x) =Asin(ωx+φ)的图像”同课异构课程.通过这两节课的学习,笔者受益匪浅,在思维的碰撞中引发对同课异构的进一步思考.     

Strichartz Estimates for Schr(?)dinger Equations with Non-degenerate Coefficients

In the present paper,the full range Strichartz estimates for homogeneous Schr(?)dinger equations with non-degenerate and non-smooth coefficients are proved.For inhomogeneous equation,the non-endpoint Strichartz estimates are also obtained.     

Learning from regularized regression algorithms with <Emphasis Type="Italic">p</Emphasis>-order Markov chain sampling

Evaluation for the performance of learning algorithm has been the main thread of theoretical research of machine learning. The performance of the regularized regression algorithm based on independent and identically distributed(i.i.d.) samples has been researched by a large number of references. In the present paper we provide the convergence rates for the performance of regularized regression based on the inputs of p-order Markov chains.     

非恒同耦合系统的同步

在过去的几十年,由于同步在通信、光学、神经生物网络等不同领域的广泛应用,使得耦合动力系统的同步行为吸引了很多的注意.除了关于周期信号的经典同步概念,还引入了许多新的同步的类型:如混沌同步,相同步,广义同步等等.利用不变流形理论讨论非恒同耦合系统的同步.