函数

Based on the research of fuzzy valued functions, the absolute uniform convergence for the series of fuzzy valued functions is discussed, by using concept of the metric and absolute valued of fuzzy numbers.

基于模糊值函数的研究，利用模糊数的度量以及模糊数的绝对值概念，讨论了模糊值函数级数绝对一致收敛性，给出了模糊值函数级数绝对一致收敛性的一个充要条件和几个推论。

Then the spatial localization of the main well-known visual neuron's receptive field models such as DOG function, LOG function, higher order derivatives of Gaussian functions and 1—D, 2—D Gabot function models is quantitatively analysed.

如对通常被作为建立模型的主要根据的&最优的空间定域性&判据的物理意义和适用性也没有得到深入的论证，而且已有的主要几类感受野模型，如DOG函数、LOG函数、高斯函数的高阶导数和一维、二维Gabor函数等模型在空间分布形态上难以准确反映系统中神经元感受野的形态和信息处理机制等等。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对&中间点&的渐近性进行了研究，得出了一系列&中间点&的渐近性的结果，概括了有关文献对微分中值公式的&中间点&的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

The first function is delivered first to the transmitter by the trusted third part, and the second function is a function for checking the result of the first function which is delivered first to the receiver by the thrusted third party.

已经由信任的第三方将第一函数首先提供给发射机，并且第二函数是由信任的第三方首先提供给接收机的、用于验证第一函数的结果的函数。

The first-part of this paper evaluates the main stability theories concerned and concludes the conceptualization steps and essentials covering the various methods. Different disturbed-measure functions are studied in terms of their formulations and characteristics. Both Lyapunov functions and TEFs can be constructed only in a heuristic way of case-by-case. Ignoring changes in the disturbed-measure function's value after clearing the fault, Lyapunov functions and TEFs are applicable to neither nonautonomous one-machine infinite-bus systems nor any multimachine systems. Moreover, TEFs cannot guarantee the sign of errors because they don't satisfy the conditions for Lyapunov functions.

作为第1篇，文中归纳出这3种方法的共同分析步骤和要素，并比较各种受扰程度函数，指出：李雅普诺夫函数和TEF的建立都必须从具体模型出发并只能依靠启发的方式，它们没有考虑受扰程度函数的值在故障清除后的变化，因此既不适用于复杂模型的单机系统，也不适用于任何多机系统；又由于这2种方法都基于很强的假设，故分析的误差可能非常大，而TEF法更是由于不满足李雅普诺夫函数的条件而可能得到冒进的结果。

In the training of HMM, referring to the auxiliary function in reference〓, and the method in reference〓 to get the estimations of the parameters of Markov chain, we define the likelihood function and auxiliary function for the maximum likelihood estimation of CDHMM, and then induce systematically the forward-backward algorithm and the re-estimation formulas for parameters of CDHMM.

在HMM的建模方面，本文借鉴文献〓中求多变量观测值马尔可夫链参数时辅助函数的选取方法，定义了CDHMM的似然函数和辅助函数；借鉴文献〓中求解马尔可夫链参数时的求偏导方法，并针对本文辅助函数加以简化和改进，系统地推导了HMM的前向—后向算法，以及CDHMM各参数的极大似然估计公式。

The theoretical removal function of a grinding/polishing tool is given and the optimal technological parameters is achieved by experiments.

介绍了计算机控制光学表面成型技术的基本原理，对双旋转磨头的去除函数进行研究，研究了不同形状的磨头的去除函数特性，并在多次实验的基础上得到了最优的加工参数，在去除函数的基础上提出了模板函数的概念及算法。

We introduce an accurate online-learning support vector machine algorithm, including incremental and decremental algorithm, which efficiently updates a trained regression function whenever a sample is added to or removed from the training set.

本文充分利用支撑向量机解的稀疏性并结合KKT条件，当向训练样本集中添加新样本时，调用&递增&算法修改原有回归函数来得到新回归函数；当从训练样本集中剔除旧样本时，调用&递减&算法修改原有回归函数得到新回归函数，即在线学习方法。

Based on both western scholars' study such as Taylor on a monetary policy reaction function and Chinese condition, this article makes a new forwardlooking monetary policy reaction function, in terms of market interest rate, regulated interest rate and interest rate spread.

本文在泰勒等西方学者对货币政策反应函数研究的基础上，构造一个适合我国国情的前瞻性货币政策反应函数，从市场利率、管制利率以及两者利差三个层次，通过该反应函数对我国货币政策的实证检验结果发现，一方面，该反应函数能够很好地描述同业拆借利率、存贷款利率和两者利差的具体走势，能够为我国货币政策的制定提供一个参考尺度，以衡量货币政策的松紧。

For the global priority and infinitely splittable cases,we show that starting from an empty configuration,the solution after any one round of best responses is of a constant-factor approximation.

本文分为以下三个方面：首先，我们考虑线性拥塞博弈，对总体加权延迟函数、用户延迟和函数、资源延迟和函数等三种系统目标函数，分别给出了稳定率的上界。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。