数值积分的一种计算方法研究

科学与工程领域经常使用数值积分，为此提出了一种求解数值积分的新方法。其主要思想是通过训练神经网络权值 并用傅立叶级数 来近似未知函数 ，然后用 来近似积分 。提出并证明了神经网络算法的收敛性定理和数值积分的求解定理。数值积分算例验证了本文算法的有效性。研究结果表明，本文提出的数值积分方法有高的计算精度，在工程实际中有较大的应用价值。     

一类含奇异积分核的高振荡积分数值估计

本文针对一类含弱奇异积分核的高振荡积分∫~b_aln(x-a)ln(b-x)(x-a)~α(x-η)(b-x)~βf(x)e~(iwx)dx,其中0α1,0β1,η∈(a,b),f(x)在区间[a,b]中解析,提出一种数值积分方法.在该方法中,高振荡积分处理主要分为两部分,一部分采用渐进展开方法处理,另一部分使用n点Guass-Laguerre积分计算.在渐进展开中,每次展开产生的弱奇异性采用构造函数来处理,而渐进误差是频率ω幂次方的倒数.数值算例验证了该方法的有效性.     

基于幂基函数变步长神经网络求解数值积分

提出一种基于幂基函数变步长神经网络算法求解数值积分的新方法,证明了该算法的收敛性以及数值积分的求解定理及推论。通过典型数值积分算例,计算机仿真实验表明,提出的基于幂基函数变步长神经网络积分算法相比传统的数值积分方法,具有计算精度高、收敛速度快、算法稳定等特点。     

一个常微分方程的整体解存在性

该文研究了常微分方程(d2u/dx2)+K(x)2n=0在(-1,1)上整体解的存在性,此问题源于H2上的预定保角高斯曲率问题,证明了一个存在定理,解释了其几何意义.     

关于分布参数系统最佳调节器的稳定裕度

本文直接证明 定理 假设 1.x(·)是dx(t)/dt=Ax(t) Bu(t),x(0)=x_0的mild解,其中A是Hilbert空间X上的强连续半群e~(At)(t≥0)的母元,u(·)∈L~2([0, ∞),Z), 2.当integral from n=0 to ∞ (‖u(t)‖~2dt< ∞)和integral from n=0 to ∞ (‖Lx(t)‖~2dt< ∞)时integral from n=0 to ∞ (‖x(t)‖~2dt< ∞) ; 3.P≥0满足A~TP PA L~TL-PBR~(-1)B~TP=0和integral from n=0 to ∞ (‖e~((A-BR~(-1)B~TP)t)‖~2dt< ∞,其中R(?)0; 4.n(·): Z→Z是强连续的,且存在k>0和β>0使得integral from n=0 to ∞ (‖n(n(t))‖~2dt≤k integral from n=0 to ∞ (‖u(t)‖~2dt,(1 β)/2)integral from n=0 to ∞ dt≤integral from n=0 to ∞ dt. 那末方程的mild解是渐近稳定的。     

关于无穷区间上一类最佳反馈控制系统*

本文提出新的最佳控制问题:在允许集合U={u=α(t)x+β(t)x′|(?)α(t)∈C〔0,T〕,(?)β(t)∈C〔0,T〕}中求u~(?)∈U,在约束x~(?)+α(t)x=u,x(0)=x_0,x′(0)=x_1之下指标J(u)=integral from x=0 to ∞(t;x_0,x_1)dt=min,并证明两个定理,求出了最佳反馈控制u~*的表达式。     

求解球面点分布问题一种新型的遗传算法

如何将N个点均匀分布在单位球面上的问题,具有许多不同的求解目标.本文主要针对物理学家Thomson在研究核电子的平衡时提出的将N个点分布在三维单位球面上,满足某种形式的α-能量最低的分布问题.球面点分布问题具有维数高,计算量大,求解困难等特点.目前国际上针对该问题的求解主要采用物理模拟,数学论证等方法,它们都只针对该问题α=0,α=±1的特定情况适用,而且求解精度有限.本文设计了一种基于拟物算子的新型遗传算法来求解MinE(α,ωN)问题.它极大地改进了搜索空间,能精确地求解球面点数小于等于100时包括素数点数的最优分布问题.     

关于RSA不动点的注记(Ⅱ)

以 T=T(p,q,e,α)表示 RSA(p,q,e)的 α阶不动点的个数 ,A和 B分别是满足 x1

2 x1 ,y2 >2 y1 ,x1 →∞ ,y1 →∞时成立 ,其中 eα- 1=rm1 1 rm22 … rmtt =∏ti=1rmii =∶ ∏ rm 是 eα- 1的标准分解式 .     

对∫f(u(x))u(x)dx型积分算法的改进

研究用计算机进行数学公式处理是人工智能领域研究工作中的一个方面。目前国际上对它的研究已进入理论化、实用阶段,并成功地设计、实现了不少公式处理系统,广泛地应用于理论研究和科学实验中。我国也正在进行这方面的研究。文[2]介绍了一种对∫f(u(x))u'(x)dx型积分算法。本文对算法进行了改进和完善,并用PASCAL语言在IBM-PC微型机上实现了该算法。     

催化剂反应中一类非线性边值问题的有限元配点法

§1.引 言 Galerkin方法是求解微分方程边值问题应用最广的一类有限元方法.文[1]利用配置点Galerkin方法研究了边值问题Ly=(a(x)y')+c(x)y=f(x),x∈I=(0,1)y(0)=y(1)=0的近似解.本文利用配置点Galerkin方法研究如下催化剂反应中质量转换问题:Ly=xy"(x)+(s-1)y'(x)+xq(x)y=xf(x,y),x∈I, (1)y'(0)=0, -y'(1)=A(y(1)-1) (2)     

Only connect: teaching, technology and telesis

Abstract This paper describes an approach to the design of interactive multimedia materials being developed in a European Community project. The developmental process is seen as a dialogue between technologists and teachers. This dialogue is often problematic because of the differences in training, experience and culture between them. Conditions needed for fruitful dialogue are described and the generic model for learning design used in the project is explained.     

European Community policy and the market

Abstract This paper starts with some reflections on the policy considerations and priorities which are shaping European Commission (EC) research programmes. Then it attempts to position the current projects which seek to capitalise on information and communications technologies for learning in relation to these priorities and the apparent realities of the marketplace. It concludes that while there are grounds to be optimistic about the contribution EC programmes can make to the efficiency and standard of education and training, they are still too technology driven.     

一种自适应子融合集成多分类器方法

融合集成方法已经广泛应用在模式识别领域,然而一些基分类器实时性能稳定性较差,导致多分类器融合性能差,针对上述问题本文提出了一种新的基于多分类器的子融合集成分类器系统。该方法考虑在度量层融合层次之上通过对各类基多分类器进行动态选择,票数最多的类别作为融合系统中对特征向量识别的类别,构成一种新的自适应子融合集成分类器方法。实验表明,该方法比传统的分类器以及分类融合方法识别准确率明显更高,具有更好的鲁棒性。     

煤矿井下安全监控分站的设计及其仿真实现

为了设计一种具有低成本、低功耗、易操作、功能强且可靠性高的煤矿井下安全分站,针对煤矿安全生产实际,文章提出了采用MCS-51系列单片机为核心、具有CAN总线通信接口的煤矿井下安全监控分站的设计方案;首先给出煤矿井下安全监控分站的整体构架设计,然后着重阐述模拟量输入信号处理系统的设计过程,最后说明单片机最小系统及其键盘、显示、报警、通信等各个组成部分的设计;为验证设计方案的可行性与有效性,使用Proteus软件对设计内容进行仿真验证,设计的煤矿井下安全监控分站具有瓦斯、温度等模拟量参数超标报警功能和电机开停、风门开闭等开关量指示功能;仿真结果表明:设计的煤矿井下安全监控分站具有一定的实际应用价值.     

Avoiding semantic and temporal gaps in developing software intensive systems

Development of software intensive systems (systems) in practice involves a series of self-contained phases for the lifecycle of a system. Semantic and temporal gaps, which occur among phases and among developer disciplines within and across phases, hinder the ongoing development of a system because of the interdependencies among phases and among disciplines. Such gaps are magnified among systems that are developed at different times by different development teams, which may limit reuse of artifacts of systems development and interoperability among the systems. This article discusses such gaps and a systems development process for avoiding them.     

Designing economic np control charts: A programmed simulation approach

This paper presents control charts models and the necessary simulation software for the location of economic values of the control parameters. The simulation program is written in FORTRAN, requires only 10K of main storage, and can run on most mini and micro computers. Two models are presented - one describes the process when it is operating at full capacity and the other when the process is operating under capacity. The models allow the product quality to deteriorate to a further level before an existing out-of-control state is detected, and they can also be used in situations where no prior knowledge exists of the out-of-control causes and the resulting proportion defectives.     

The development of robot art

Going through a few examples of robot artists who are recognized worldwide, we try to analyze the deepest meaning of what is called “robot art” and the related art field definition. We also try to highlight its well-marked borders, such as kinetic sculptures, kinetic art, cyber art, and cyberpunk. A brief excursion into the importance of the context, the message, and its semiotics is also provided, case by case, together with a few hints on the history of this discipline in the light of an artistic perspective. Therefore, the aim of this article is to try to summarize the main characteristics that might classify robot art as a unique and innovative discipline, and to track down some of the principles by which a robotic artifact can or cannot be considered an art piece in terms of social, cultural, and strictly artistic interest. This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008     

View-based model-driven architecture for enhancing maintainability of data access services

In modern service-oriented architectures, database access is done by a special type of services, the so-called data access services (DAS). Though, particularly in data-intensive applications, using and developing DAS are very common today, the link between the DAS and their implementation, e.g. a layer of data access objects (DAOs) encapsulating the database queries, still is not sufficiently elaborated, yet. As a result, as the number of DAS grows, finding the desired DAS for reuse and/or associated documentation can become an impossible task. In this paper we focus on bridging this gap between the DAS and their implementation by presenting a view-based, model-driven data access architecture (VMDA) managing models of the DAS, DAOs and database queries in a queryable manner. Our models support tailored views of different stakeholders and are scalable with all types of DAS implementations. In this paper we show that our view-based and model driven architecture approach can enhance software development productivity and maintainability by improving DAS documentation. Moreover, our VMDA opens a wide range of applications such as evaluating DAS usage for DAS performance optimization. Furthermore, we provide tool support and illustrate the applicability of our VMDA in a large-scale case study. Finally, we quantitatively prove that our approach performs with acceptable response times.     

Explanation and prediction: an architecture for default and abductive reasoning

Although there are many arguments that logic is an appropriate tool for artificial intelligence, there has been a perceived problem with the monotonicity of classical logic. This paper elaborates on the idea that reasoning should be viewed as theory formation where logic tells us the consequences of our assumptions. The two activities of predicting what is expected to be true and explaining observations are considered in a simple theory formation framework. Properties of each activity are discussed, along with a number of proposals as to what should be predicted or accepted as reasonable explanations. An architecture is proposed to combine explanation and prediction into one coherent framework. Algorithms used to implement the system as well as examples from a running implementation are given.     

A pragmatic multi-method investigation of discrepant technological events: Coping,attributions, and ‘accidental’ learning

Discrepant technological events or situations that entail a problem, a misunderstanding or a difficulty with the Information Technology (IT) being employed, are common in the workplace, and can lead to frustration and avoidance behaviors. Little is known, however, about how individuals cope with these events. This paper examines these events by using a multi-method pragmatic approach informed by coping theory. The results of two studies – a critical incident study and an experiment – serve to build and test, respectively, a theoretical model that posits that individuals use a variety of strategies when dealing with these events: they experience negative emotions, make external attributions, and adopt engagement coping strategies directed at solving the event, eventually switching to a disengagement coping strategy when they feel they have no control over the situation. Furthermore, users’ efforts may result in ‘accidental’ learning as they try to overcome the discrepant IT events through engagement coping. The paper ends with a discussion of the results in light of existing literature, future opportunities for research, and implications for practice.