多重调和Bergman空间上径向Toeplitz算子的交换性

In this paper, we study the commutativity of Toeplitz operators with radial symbols on the pluriharmonic Bergman space. We obtain the necessary and sufficient conditions for the commutativity of bounded Toeplitz operator and Toeplitz operator with radial symbol on the pluriharmonic Bergman space.     

模糊集在手写数字识别中的应用

为提高识别速度，本文提出先对文字图象进行直（折）线段、圆的ＬＭＳＥ近似并用Ｆｕｚｚｙ定义算法进行描述，以得到对书写工整的部分数字的快速识别，其速度提高近两倍（达到３７５个／秒），约有２０％的字在这一过程中就可以被识别。本文叙述的算法已经用在我们进行的无限制手写数字识别系统的实验中；反复使用表明：本文提出的方法既快又准确。     

The Surgical Separation of Sets

Given a pair of finite disjoint setsA andB inR ⁿ, a fundamental problem with many important applications isto efficiently determine a hyperplaneH(w,) which separates these sets when they are separable, or nearly separates themwhen they are not. We seek a hyperplane which minimizes a natural errormeasure in the latter case, and so will surgically separate the sets. Whenthe sets are separable in a strong sense, we show that the problem is aconvex program with a unique solution, which has been investigated byothers. Using the KKT conditions, we improve on an existing algorithm. Whenthe sets are not separable, the problem is nonconvex, generally with properlocal solutions, and we solve an equivalent problem by Branch and Bound.Numerical results are presented.     

Integration of fuzzy linguistic information in language comprehension

To successfully understand a natural language utterance, a person must simultaneously consider information about its perceptual, syntactic, semantic, and pragmatic structure. At each of these levels of analysis, the linguistic information is continuously but systematically variable. It is argued that in order to cope with and, in fact, exploit this continuous information requires fuzzy propositional representations of linguistic knowledge. Such a fuzzy propositional theoretical framework is proposed and models of several specific language processing components are developed and empirically evaluated within this framework. The model system incorporates many of the major principles of current cognitive psychological theory and extends them into the fuzzy domain.     

Displaying Variation in Large Datasets: Plotting a Visual Summary of Effect Sizes

Displaying the component-wise between-group differences high-dimensional datasets is problematic because widely used plots such as Bland–Altman and Volcano plots do not show what they are colloquially believed to show. Thus, it is difficult for the experimentalist to grasp why the between-group difference of one component is “significant” while that of another component is not. Here, we propose a type of “Effect Plot” that displays between-group differences in relation to respective underlying variability for every component of a high-dimensional dataset. We use synthetic data to show that such a plot captures the essence of what determines “significance” for between-group differences in each component, and provide guidance in the interpretation of the plot. Supplementary online materials contain the code and data for this article and include simple R functions to produce an effect plot from suitable datasets.     

The Influence of Visual and Spatial Reasoning in Interpreting Simulated 3D Worlds

This paper explores the way in which young children (6 year olds) made sense of screen-based images on the computer. The participants were required to interpret 3D-like representations and relate these images to objects in their environment. Both static and relatively dynamic software programs were used in the investigation. Some of the children could not make links between the screen representation and the intended three-dimensional (3D) objects. It is argued that young children should be exposed to activities that establish explicit links between 2D and 3D objects ``away' from the computer before attempting the more difficult links required to interpret and represent 3D objects in ICT contexts. This revised version was published online in July 2006 with corrections to the Cover Date.     

Functions of Interactive Visual Representations in Interactive Mathematical Textbooks

The paper explores changes in technology that have implications for the teaching and learning of school mathematics. To this end, it examines aspects of interactive mathematical textbooks; specifically it analyzes functions authors may intend to be carried out by embedded interactive diagrams. The paper analyzes theoretical as well as practical lessons that I learned while designing such a book. It is the purpose of this article to provide a rough, preliminary collection of categories of diagram function that would allow an orderly discussion of the subject. While this is not an empirical study, the hypotheses about student practices with interactive diagrams are based on a long series of studies related to the learning of algebra in a technologically-rich environment.     

The importance of constitutive equations in mechanochemical models of pattern formation

We analyze a one-dimensional mechanical model which has been proposed to account for the pattern formation which arises in various processes in developmental biology. We compare the effect that different constitutive equations have on the resulting spatial pattern. In this way, we conclude that a more detailed knowledge of the mechanical properties of tissues is need if accurate predictions of developing spatial patterns are to be made.     

A visual programming system for defining behavior in simulation models of manufacturing systems

A visual programming system is described that allows the modeler full flexibility in defining the behavior of a manufacturing system simulation model. Decision-making behavior of objects in the simulation can be viewed by watching an animation of the system layout, viewing function block diagrams of rules that govern behavior, or noting the progress of an object in carrying out sequences of activities that are pictured as operation networks. Rules, elemental operations and operation networks are structured and associated with particular objects, groups of objects, and locations on the manufacturing system layout. The objective of this system is to reduce the time and expense required to construct and modify models, given that manufacturing system data have been collected.     

The role of symbols in mathematical communication: the case of the limit notation

Symbols play crucial roles in advanced mathematical thinking by providing flexibility and reducing cognitive load but they often have a dual nature since they can signify both processes and objects of mathematics. The limit notation reflects such duality and presents challenges for students. This study uses a discursive approach to explore how one instructor and his students think about the limit notation. The findings indicate that the instructor flexibly differentiated between the process and product aspects of limit when using the limit notation. Yet, the distinction remained implicit for the students, who mainly realised limit as a process when using the limit notation. The results of the study suggest that it is important for teachers to unpack the meanings inherent in symbols to enhance mathematical communication in the classrooms.     

The henomeric types of 2-sided patterns in the plane

We extend the classification of pattern types by Grünbaum and Shephard to the 2-sided plane to include patterns having layered or interlaced motifs. Such patterns may have symmetries that turn the plane over. There are 17 infinite families of pattern types for 2-sided rosettes (twelve 1-parameter families and five 2-parameter families), 68 types of 2-sided frieze pattern, and 264 types of 2-sided periodic pattern. The definition of ‘henomeric’ is clarified to ensure that two of the periodic patterns are distinguished.      

隐马尔可夫模型在语音识别中的应用

隐马尔可夫模型 (HMM)的基本技术是语音识别中较为成功的算法 .主要是它具有较强的对时间序列结构的建模能力 .本文首先深入浅出地介绍了 HMM的基本技术和一个基于 HMM的孤立词语音识别系统的构成方法 ,其次 ,基于 HMM尚存有一些缺陷 ,造成语音识别能力较弱 ,为此本文又进一步阐述了语音识别应用中的几种改进的 HMM系统及目前的热点方法—— HMM与 ANN构成的混合网络     

模糊模式识别方法在学生综合素质评价中的应用

给出了一种基于模糊模式识别的学生综合素质评判方法 ,并且考虑了各因素不同的重要程度 ,对其他评价方法作了有益的补充 .     

非等间距序列建模过程中存在的问题及改进

在研究非等间距序列的基础上 ,本文将非等间距累加运用于非等间距序列的建模过程中 ,使原有模型得到改进 .实例表明 ,改进后模型的精度有了很大提高     

The Weights of Irreducible SL 3(q)-Modules in the Defining Characteristic

This is a final step in solving the problem of recognition of the simple groups L ₃(p ^k) by element orders. It is proven that when L ₃(p ^k) acts on an elementary abelian p-group, there always appears an element of new order. A model is proposed for constructing the absolutely irreducible p-modular representations of L ₃(p ^k) in polynomial spaces.     

粒子群优化模糊神经网络在语音识别中的应用

针对模糊神经网络训练采用BP算法比较依赖于网络的初始条件,训练时间较长,容易陷入局部极值的缺点,利用粒子群优化算法(PSO)的全局搜索性能,将PSO用于模糊神经网络的训练过程.由于基本PSO算法存在一定的早熟收敛问题,引入一种自适应动态改变惯性因子的PSO算法,使算法具有较强的全局搜索能力.将此算法训练的模糊神经网络应用于语音识别中,结果表明,与BP算法相比,粒子群优化的模糊神经网络具有较高的收敛速度和识别率.     

虹膜识别在基于物联网的肉类食品溯源中的研究

依托物联网平台,构建"从源头到餐桌"的信息溯源体系是肉类食品安全当前亟待解决的重要问题.大型动物个体识别在肉类食品溯源系统中起着非常关键的作用.鉴于传统动物识别方法对于个体溯源准确度不高,将大型动物的虹膜特征提取与编码作为个体鉴别的关键技术引入溯源体系中.将虹膜编码信息与饲养、屠宰加工、配送和分割销售信息结合起来并转化成电子编码储存于RFID标签,以实现大型动物的活体与分割肉块的信息衔接.方法能有效地解决传统动物识别系统中的欺骗及设备功能异常现象等问题,达到肉类食品信息查询和出现安全问题后个体溯源的目的.     

通信中的无线信道“指纹”特征建模研究

针对不同场景下的无线信道场景识别问题,基于实测数据建立了时域、频域、图域"指纹"特征模型,提取出时延拓展、1/10带宽、多普勒频移、频带极大值数、信息熵共计五个"指纹"特征.基于"指纹"特征模型建立了"场景识别"模型、"区域划分"模型和指标评价模型,仿真结果表明模型能够合理有效区分不同场景下的无线信道.     

高校教学质量评价的属性识别法

阐述了高校教学质量评价的属性识别法.并应用此方法对普通高等学校的教学质量进行评价,指出了属性识别理论与模糊综合评判方法相比的优越之处.为普通高等学校教学质量评价提供了一种量化处理的方法.     

模式识别技术在机械设备故障诊断中的应用

本文从统计意义上分析了机械设备在不同运行状态下振动信号的特征;选择信号幅值的概率分布的前n阶矩作为特征向量来进行状态信息凝聚.在此,将设备的状态分为“完好”和“故障”两种,应用模式识别技术进行状态分类.最后通过对试验数据的分析,证实了特征参数的稳定性和对故障的敏感性.结果表明,分类判据是有效的.