加权函数

In this dissertation, we study the mean value problems of some special number theory functions, relation with some important functions and a series of asymptotic formulas about some hybrid functions.

本文研究了一些特殊数论函数的均值估计问题，以及它们与一些重要函数之间的联系，有关和式的一系列加权均值。

Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including interval-valued intuitionistic fuzzy ordered weighted arithmetic averaging operator and interval-valued intuitionistic fuzzy hybrid aggregation operator, are proposed.

论文摘要：对区间直觉模糊信息的集结算子进行了进一步研究，引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数，并基于这些运算法则，提出了一些新算子：区间直觉模糊数有序加权算术平均算子和区间直觉模糊数混合集结算子。

In this dissertation, the best simultaneous approximation with weight to infinite sequence from simultaneous-suns in complex normed linear space is considered, and in the case when the weight satisfies a certain condition, the characterizations of approximation from a simultaneous-sun and uniqueness of approximation from a RS-set are obtained; moreover, in the case when the weight is free, the characterizations of approximation to a totally bounded sequence from a convex set are established.

本文在复赋范空间中研究了同时太阳集对无限序列的加权同时逼近问题，在权满足一定条件时，通过把所研究问题转化为连续向量值函数空间中相应集对一个上半连续函数的最佳逼近问题，得到了逼近的特征和RS集逼近的唯一性定理，有例表明它们是已有结果的本质推广；在权不受限制时，得到了凸集对全有界序列逼近的特征。

It is proved that this algorithm can be used to build a B|spline neural network with minimum hidden units to approximate any continuous function defined on compact set to a prescribed accuracy.

对于3层神经网络而言，输入至输出的映射实际上是通过基函数的加权组合来实现的，当基函数取不同时，网络有不同的性质

Although many results have been obtained, there are still a number of very interesting questions about composition operators unsolved. There is much more to be learned about the collective compactness and convergence of composition operator sequences, compactness of various product of composition operators, cyclicity, closed range and spectra of composition operators in various settings. Commutants of composition operators seem to be very difficult to characterize. Only a little is known about their reducing invariant subspaces. There has been no work on C〓 algebras generated by composition operators.

尽管已取得如此丰富的结果，但是关于复合算子仍然有大量非常有意义的问题值得研究，例如：复合算子序列的总体紧性及收敛性、复合算子的各种乘积的紧性、复合算子的闭值域问题、复合算子在各种解析函数空间上的谱的描述、换位复合算子的刻画、复合算子诱导的不变子空间问题、循环复合算子的研究、由复合算子生成的C〓-代数的研究、不同解析函数空间之间的加权复合算子及复合算子半群等等问题。

The first one focuses upon the fundamental theory and methods of system identification, including the basic concepts of system description and identification,review of matrix theory, stochastic process and pulse response of linear systems; the first principle models for lumped and distributed parameter systems; modeling of bioreactions; auto regressive moving average model; weighted least square and regressive weighted least square for parameter estimation of ARMA model; Runge-Kutta and Simplex methods; an example of BPNN application; as well as Kalman Filter.

第一部分包括知识驱动建模、数据驱动建模、参数估计和状态估计的基础理论和方法。具体为：(1)系统辨识和系统描述的基本概念，包括矩阵论、随机过程、线性系统的脉冲响应函数等基础知识回顾；(2)基于动态物料和能量衡算的集总参数、分布参数对象的知识驱动建模方法；(3)生物反应系统的建模方法；(4)自回归移动平均模型；(5) ARMAX模型参数的加权最小二乘参数估计一次性算法和递推算法，相应的统计性质；(6)龙格库塔法和单纯形法；BP神经网络应用实例；(7)卡尔曼滤波器，及其与加权最小二乘参数估计递推算法的对比。

The Monte Carlo simulation shows that the present method is better than the Method of Moment in unbiasedness, and is generally comparable to MOM in efficiency.

对P-Ⅲ型总体分布，本文提出的权函数能使σ和Cs的估计由原方法的二阶加权中心矩降低为一阶加权中心矩估计。

The uniform approximation of normal wavelet neural network and the robust analysis of wavelet neural networks of the combination of Sigmoid function are detailedly introduction; Multiple model failure detection based on wavelet neural network is demonstrated detailedly; At last, the failure diagnosis results of aerocraft is present seperately by employing wavelet neural network and BP neural network, and the fault diagnosis of areocraft system by wavelet neural network is achieved.

论文以小波神经网络为研究对象，提出了一类新的加权小波基，分析证明了加权小波基的诸多良好特性；对于常见小波神经网络的一致逼近特性、S型函数组合小波神经网络的鲁棒性分析、多模型小波神经网络的故障检测等问题给出了详细的论证；最后，针对歼击机的常见故障问题，分别给出了应用小波神经网络和BP神经网络的故障诊断结果，实现了小波神经网络对飞机系统的故障诊断。

Based on Galerkin finite element method, a new upwinding finite element numerical model suitable for modeling wind driven current in shallow lakes is derived by introducing streamline upwinding method and the selective lumping coefficient matrix scheme.

从控制方程组出发，以 Galerkin有限元法为基础，引入沿流线加权的权函数(沿流线加权的迎风有限元法)和选择性集中系数矩阵方法，推导、建立了一适合于浅水湖泊风生流计算的二维迎风有限元数值模型。

To overcome target expansion, shape transformation and occas ional frame lost due to the missile phase motion of television guided bombs , a modified weightˉrelated function, t arget tracking strategy, template updating and modifiˉ cation, and tracking point positioning method as well as a predict ion method to solve the frame loss of target were proˉ posed. Based on this, an improved weightˉrelated matching tracking a lgorithm was realized.

针对电视制导炸弹中弹目相对运动变化而导致的目标尺度变化、几何形变以及随机因素造成的暂短丢帧现象，文中对相关测度函数进行了基于弹-目距离的中心加权修正，提出了相应的模板更新与修正策略、基于线性预测的目标位置的预测方法、跟踪点的定位方法等，在此基础上，实现了基于加权相关的图像匹配跟踪算法。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。