算出

Following by the idea of discontinuous right-hand sides in SIDEs, the whole framework is studied based on the spring-mass model, and some good properties are given. Furthermore, two schemes are presented: explicit scheme and additive operator splitting scheme.

借助SIDEs不连续右端的基本思想，将整个框架在弹簧体模型下进行考虑，给出了一些好的性质，并时该扩散方法提出了两种数值求解方案：显式方案和可加算子分裂的迭代格式。

On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

In this paper, the author gives exact representation of the adjoint of composition operator on Hardy space.

该文给出了Hardy空间上的复合算子伴随的准确表达式。

We give the computing results of Maple programs by using the adjoint operator method.

利用共轭算子法和逐项消去法等规范形理论研究了含有三次非线性项的四维系统的规范形，给出了利用Maple符号推导程序所得到的计算结果。

Deeply study the relationship between the Riemannian metric and the adjoint operator Ad kk ?1 and present the objective map expressions.

对Riemannian流形中的度规与空间伴随算子的内在联系作了深入研究，并给出了具体的映射关系。

How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立，并通过选择适当的差分格式离散伴随模型，使其保持连续时的伴随关系，同时给出了水温初始场最优化过程及相应的同化试验数值结果。

An example is used to show that this method can reduce all-in cost of inventory and transportation.

给出算例，表明该方法可进一步降低库存与运输费用。

First, the uncertain ordered weighted averaging is used to aggregate the decision-maker's different preference information into the interval number comparison matrix. Then, the group's overall satisfaction membership function is defined based on the decision-making's allowable error. The maximal group consistency weight model is established.

采用UOWA算子将决策者的偏好信息集结为区间数互反判断矩阵和互补判断矩阵两种形式，结合决策者给出的允许偏差，定义群满意度隶属函数，建立求解群偏好一致程度最大化的权重模型。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先，通过方位角的Fourier变换，将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组，基于径向Hankel变换，建立问题的状态方程，求解状态方程后得到传递矩阵；其次，利用传递矩阵，结合层状饱和地基的边界条件、排水条件及层间接触和连续条件，给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解；然后，按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程，并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程，并给出了算例。

Firstly, population partition methodology is presented by combining characteristics of both the cooperative co-evolutionary genetic algorithm and the neural network. Secondly, a novel mixed encoding method is also put forward to perform synchronal optimization of structure and weights of the neural network. Proper crossover and mutation operators were designed based on the encoding method. Next, a novel structure optimization technique is given according to the relationship among encoding, representation and cooperative group. Representative individual selecting and fitness evaluating are given.

首先，结合合作式协同进化遗传算法本身特性和神经网络特点，给出种群分割方法；其次，为了实现结构和权值的同步优化，提出一种新的混合编码方法，并根据该混合编码方法设计新的交叉和变异算子；然后，根据编码结构、代表个体和合作团体之间的关系，提出一种新的结构优化方法；再次，给出进化过程所需代表个体选择、适应度构造方法等。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新