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A new definition and a new iterative scheme are introduced and the result that the iterative sequence is strongly convergent to common zero point s of maximal monotone operators Ai(i=1,2,…,m) is obtained by using the techniques of Lyapunov functional and generalized projection operator,etc.

将引进一个新定义、给出一种新迭代算法，并利用Lyapunov泛函与广义投影算子等技巧，证明迭代序列强收敛于Ai的公共零点，i=1，2，…，m。

A method of building the fuzzy model with constant-value consequence for MIMO complex processes is presented by means of the iterative learning algorithm of fuzzy model consequent parameters, and the convergence of the iterative learning algorithm is proved according to the convergent theorem of bounded positive-term series, moreover, the effectiveness of the presented fuzzy modeling method is also demonstrated by a simulation example.

深入讨论了常值后件模糊规则模型与映射的关系，并证明这种模糊模型所表示的模糊系统具有在紧集上逼近任意实值连续函数到任意精度的能力，为将这种模糊模型用于复杂过程的建模和控制作了一些理论准备。

Let C be a nonempty closed convex subset of a Hilbert space H, P:H→C be a nearest point projection, and T:C→H be a nonexpansive mapping satisfying the weakly inwardness condition, and :C→C be a fixed contractive mapping. Let the implicit iterative sequences {x},{y} and the explicit iterative sequences {x},{y}.

设C为实Hilbert空间H的非空闭凸子集，P：H→C为最近点投影映射，T：C→H为非扩张映象，且T满足弱内向条件，：C→C为压缩映象。t∈(0，l)，定义了2种隐式粘性迭代序列{x}，{y}和2种显式粘性迭代序列{x}，{y}，证明了T有不动点当且仅当序列{x}，{y}，{x}，{y}有界。

It can be found that the IPCA, as a non-iterative method, can obtain one principal component by only one calculating process. Therefore the IPCA is not only fast in calculation, but can avoid the cumulative error suffered by iterative methods.

使用模拟和实验HPLC-DAD数据对IPCA进行了验证，结果表明IPCA是一种非迭代方法，只需要完成一次计算过程即可得到一个主成分，因此IPCA不仅能够显著提高运算速度，而且可以避免迭代法中的误差积累问题。

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

Although some results on convex and concave iterative roots are known, there are no results about convexity for more general iterative equations. In this chapter, convexity of both increasing solutions and decreasing solutions is investigated by the divided difference theory and fixed point theory.

本章在连续函数构成的紧凸集上构造一个连续自映射算子，利用均差理论和不动点理论证明了线性型迭代方程的凹凸解的存在唯一性及连续依赖性。

The apparatus and method further comprise c separately storing the synchronization data serving as the iterative information and combining the separately-stored results when the synchronization data is determined to be iterative information, or divisionally storing the synchronization data, combining the divisionally-stored results, and transmitting the combined result when the synchronization data is determined to be divisionally-designated data; and d terminating a backup operation of the mobile terminal when the backup server generates a response signal after the data is transmitted to the backup server.

该装置和方法进一步包括c当确定同步数据是重复信息时，单独存储用作重复信息的同步数据以及合并所单独存储的结果，或者当确定同步数据确定为分开指定的数据时，分开存储同步数据，合并所分开存储的结果，以及传送所合并的结果；以及d在将数据传送到备份服务器后，当备份服务器生成应答信号时，中止移动终端的备份操作。

A mixed iterative method for 3-D frictional contact problems is proposed based on a combination of the iterative method and the fixed point method.

利用迭代法与不动点算法相结合给出了三维摩擦接触问题的一种混合迭代算法，克服了三维问题在接触面上因有无穷多个可能的滑动状态而无法确定带来的困难。

In order to solve this problem with constant time complexity, we first propose the concept of iterative-PARBS [13], which is similar to the FOR-loop construct in sequential programming languages. The iterative-PARBS is a building block in which the processing data can be routed through itself several times. We can think of it as a "hardware subroutine".

为了能以常数时间之复杂度解决此问题，我们先利用inerative-PARBS的设计观念〔13〕，类似循序程式语言中的FOR回圈，使处理中的资料能够回绕数次，我们可将之视为一种硬体的副程式。

Many problems of dynamical systems can be reduced to an iterative functional equation or an iterative functional differential equation.

根据系统变化的规律可分为由微分方程描述的连续动力系统和由映射迭代揭示的离散动力系统。

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。