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In clinic, lingual and labial orthodontics have many differences, especially the torque control of the upper incisor.

临床上，舌侧正畸和唇侧正畸相比，力学机制有很多不同；上切牙的转矩控制更是舌侧正畸中的难点。

Correspondingly, the concept of fuzzy regular semiideal is introduced and the correspondence theorems of fuzzy regular semiideals and the isomorphism theorems of fuzzy regular quasi-quotient rings are established under ring homomorphism.

相应地，我们引入了模糊正则半理想概念，建立了环同态下模糊正则半理想的对应定理以及模糊正则拟商环的同构定理。

Based on polynomial-interpolation and curve-fitting theory, this paper presents a special feed-forward neural network using Jacobi orthogonal polynomial activation-functions, which exploits a group of order-increased Jacobi orthogonal polynomial functions as the activation-function of hidden-layer neurons.

根据多项式插值与逼近理论，以一组零阀值特例 Jacobi 正交多项式（第二类 Chebyshev 正交多项式）作为隐层神经元的激励函数，构造一种基于 Jacobi 正交基的前向神经网络模型。

For the data set with noises, a regularization intropolation method is proposed according to regularization theory. The relation between the regularization intropolation method and radial basis function method is analysed and structure of regularization neural networks is proposed. RBF neural network is introduced by mortifying the regularization neural networks. Finally the approximation capacity of RBF neural networks is analysed. 4. A method of selecting the centers of hidden layer neurons of RBF neural networks is proposed.

首先从精确内插问题开始对RBF神经网络进行讨论，然后根据正则化理论提出了在数据集带有噪声的情况下的内插方法，并分析了这种内插方法和径向基函数方法之间的密切联系以及其对应的正则化神经网络结构，其次对正则化神经网络进行了修改，得到正则化神经网络的简化形式—RBF神经网络，最后分析了RBF神经网络的逼近性能。

We present an inverse method based on Tikhonov regularization theory. A regularized functional is established and regularization parameters are deduced with Arcangeli criterion and Morozov discrepancy principle. The functional is solved by sensitivity coefficients and Newton-Raphson iteration method.

充分考虑非线性瞬态热传导过程测温数据的误差特点，根据Tikhonov正则化理论，构造合适的正则化泛函，利用Arcangeli准则和Morozov偏差原理确定正则参数，采用灵敏度系数和Newton-Raphson迭代法求解该泛函。

When normal distribution of subordinate function was considered, we can further deduce fussy reliable formulas that forces and intensities were lognormal distribution, that forces and intensities were weibull distribution, that forces were exponential distribution and intensities were normal distribution, that forces and intensities were exponential distribution. 3. Coincide methods of skip-ratio curve were gotten by deducing and skip-ratio functions of standard road in common use was gotten by theoretic and algebraic calculation.

并以此为基础选取了广义而精确的正态分布隶属函数，进一步推导了应力和强度均为对数正态分布时的模糊可靠性公式、应力和强度均为威布尔分布时的模糊可靠性公式、应力为正态分布和强度为威布尔分布时的模糊可靠性公式、应力为指数分布和强度为正态分布时的模糊可靠性公式、应力和强度均为指数分布时的模糊可靠性公式。

As the complexity of dealing with the boundary of the deviated wells with the orthogonal coordinate system, the computation of induction logging response using an oblique coordinate system is discussed.

由于在正交坐标系中斜度井边界处理的复杂性，提出一种非正交计算方法，即在非正交坐标系计算了斜度井中感应测井的响应。

We know that if the prefilter is nonorthogonal, the discrete orthogonal multiwavelet transform will not preserve the orthogonality.

我们知道，如果预滤波器是非正交的，则离散正交多子波变换的正交性将"丧失"。

Since a ring satisfies the related comparability if and only if every regular element is related unit-regular, In Section 2. 3, we first give some equivalent conditions for an arbitrary ring to satisfy the related comparability.

由于环R满足相对可比性当且仅当R的每个正则元是相对幺正则的，§2.2节给出了一般环中给定的正则元是相对幺正则的一些特征刻画，证明了文献[22]（1997）的主要结果在任意环中仍然成立。

In accordance with the large scale and badly Ill-condition of image restoration,this thesis presents a class of regularized PCG algorithm which combines PCG algorithm and some regularization strategies.These strategies include the construction of new preconditioner,the adoption of optimum stopping rule and the extrapolation techniques of RPCG-solution with respect to regularization parameter.

本文针对图像恢复中问题规模大且病态严重等特点，将现行的PCG算法和若干正则化策略相结合，提出了一类正则化的PCG算法，这些策略包括：新预处理子的构造，最优停止准则的采用，关于正则参数的RPCG—正则解的外推策略。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。