Implicit runge-kutta methods for differential inclusions

This paper is concerned with the application of implicit Runge-Kutta methods suitable for stiff initial value problems to initial value problems for differential inclusions with upper semicontinuous right-hand sides satisfying a uniform one-sided Lipschitz condition and a growth condition. The problems could stem from differential equations with state discontinuous right-hand sides. It is shown that there exist methods with higher order of convergence on intervals where the solution is smooth enough. Globally we get at least the order one.     

Risk bounds for model selection via penalization

Performance bounds for criteria for model selection are developed using recent theory for sieves. The model selection criteria are based on an empirical loss or contrast function with an added penalty term motivated by empirical process theory and roughly proportional to the number of parameters needed to describe the model divided by the number of observations. Most of our examples involve density or regression estimation settings and we focus on the problem of estimating the unknown density or regression function. We show that the quadratic risk of the minimum penalized empirical contrast estimator is bounded by an index of the accuracy of the sieve. This accuracy index quantifies the trade-off among the candidate models between the approximation error and parameter dimension relative to sample size. If we choose a list of models which exhibit good approximation properties with respect to different classes of smoothness, the estimator can be simultaneously minimax rate optimal in each of those classes. This is what is usually called adaptation. The type of classes of smoothness in which one gets adaptation depends heavily on the list of models. If too many models are involved in order to get accurate approximation of many wide classes of functions simultaneously, it may happen that the estimator is only approximately adaptive (typically up to a slowly varying function of the sample size). We shall provide various illustrations of our method such as penalized maximum likelihood, projection or least squares estimation. The models will involve commonly used finite dimensional expansions such as piecewise polynomials with fixed or variable knots, trigonometric polynomials, wavelets, neural nets and related nonlinear expansions defined by superposition of ridge functions. Received: 7 July 1995 / Revised version: 1 November 1997     

Tikhonov regularization of metrically regular inclusions

We present a Tikhonov regularization method for inclusions of the form where T is a set-valued mapping defined on a Banach space that enjoys metric regularity properties. We investigate, subsequently, the case when the mapping T is metrically regular, strongly metrically regular, strongly subregular and Lipschitz continuous and show the strong convergence of the solutions of regularized problems to a solution to the original inclusion . We also prove that the method has finite termination under some special conditioning assumptions on T and we study its stability with respect to some variational perturbations. These authors are supported by Contract EA3591 (France).     

现代学徒制模式下高端技能型人才培养的研究与实践——以沙洲职业工学院“金鸿顺”班试点项目为例

文章以沙洲职业工学院校企联合举办现代学徒制试点项目为基础, 建立了学校、企业、学生等各方责权利 界定制度并进行了落实, 修订完善了人才培养方案, 取得了显著的实施效果, 为高职现代学徒制的开展提 供了参考。     

Perturbed and non-perturbed Brownian taboo processes

In this paper we study the Brownian taboo process, which is a version of Brownian motion conditioned to stay within a finite interval, and the α-perturbed Brownian taboo process, which is an analogous version of an α-perturbed Brownian motion.We are particularly interested in the asymptotic behaviour of the supremum of the taboo process, and our main results give integral tests for upper and lower functions of the supremum as t→∞. In the Brownian case these include extensions of recent results in Lambert [4], but are proved in a quite different way.     

指向学科大概念的高中物理U型教学策略——以“机械能守恒定律”教学为例

学科大概念向下统领学科内核心知识,向上构成学科核心素养的基本框架,指向学科结构的中心,因此它不只是一个聚合概念,也是连接学科知识与学科核心素养的工具和媒介^[1,2].以"机械能守恒定律"教学为例探讨基于大情境,促进还原与下沉,激活学科大概念;基于大问题,促进探究与整合,建构学科大概念;基于大反思,促进反思与上浮,迁移学科大概念.     

基于Android的科目三模拟考试系统

基于Android的科目三模拟考试系统把驾驶员考试从车载电脑迁移到便捷的Android手机智能平台,在保证模拟考试质量的前提下降低了驾校的硬件成本。实践证明使用科目三模拟系统能够提高考试合格率、减少学员训练时间、提升驾校招生率且能够提高训练车辆的使用效率。     

基于职业技能大赛视角的高职人才培养对策研究

文章阐述了职业技能大赛对学生技能水平、教师业务水平及校企合作等方面的促进作用,并从人才培养目标、教育教学改革、师资队伍建设、教材建设、实训基地建设等方面提出基于职业技能大赛的高职人才培养的策略。     

浅析电子商务领域专利申请的客体问题

随着计算机、互联网、移动互连技术的发展,电子商务活动日益活跃,使得以计算机软件和电子设备为载体、结合各种技术应用于各种社会活动的新型商业方法的产生,其满足技术性要求,从而有获得专利授权的基础.美日欧各国对商业方法专利的审查重点已经从客体可专利性转移到整体专利性的考察,我国对商业方法专利仍然处于转变的过程中.从具体案例出发,通过对案例的分析,剖析电子商务领域客体审查的尺度.