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In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

Firstly, a probability computing model is constructed to present system call sequences and the SCSFA algorithm is designed to predict the attempt of intrusion and to determine what need to protect, which is based on the analysis of system call sequence in virtual computing systems; Secondly, the sensitive data protected are divided into a number of film data, and for the goals of random errors tolerance, each tablet data are redundant backup based on Byzantine fault tolerance; Then, the redundant data are distributed to different virtual machines.

设计SCSFA算法分析虚拟计算环境的系统调用行为序列，以识别虚拟计算环境下的入侵企图，预测敏感数据的高危区域；其次，将要保护的数据划分成若干片数据，并以容忍虚拟计算环境随机错误为目标对每个片数据冗余备份；然后将冗余片数据分散到不同虚拟机上。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

Since doctor Adleman successfully gave the solution of directed Hamilton path about directed graph with DNA computing in 1994, there have been significant research efforts on the DNA computing and the DNA computer.

基于这一原因，科学家们正在寻找其他全新的计算机结构，如人工神经网络计算机、量子计算机、光学计算机以及DNA计算机模型等，其中DNA计算机在近几年倍受科学界的关注。

As a hot spot in research and industrial fields, p2p computing is a key direction of distributed computing technique.

对等计算作为学术界和工业界关注的焦点，是分布式系统研究最活跃的方向之一。

Since the B-spline is a locally supported function, the smoothing formula can be strictly limited in a neighborhood of each point. The smoothing surface defined by the smoothing formula has the same convexity as that of the original image. Secondly, the edge points are detected by either computing the local extremum points of the directional derivative or computing zero-crossing of the second-order directional derivative of the smoothing surface. Finally, an example of an edge detector is given.

针对反卷积视觉模型的病态性，增加了适当的约束，给出了基于低松弛迭代格式的快速自适应滤波算法，对于一个N×N输入图象，由于变换核的局部支撑性质以及低松弛迭代格式的引入，使得快速自适应滤波算法的计算复杂度降为象素个数N〓的线性量阶N〓，就最小二乘算法的复杂性而言，优于不动点迭代算法的O以及基于FFT的预处理共轭梯度算法的O。

In this paper, by using Brown Motion, the formula at the crucial point of probabilistic computing method is proved theoretically, and a probabilistic computing method for the three-dimensional Dirichlet problem is given.

本文运用布朗运动，对概率算法中的一个关键公式给予了理论上的证明，并对三维Dirichlet问题提出了概率算法。

The users should be easy to submit single computing task or parallel computing task, monitor the state of running task, and realize disk sharing and remote printing through user console of grid.

通过网格用户控制台，用户可方便地向网格提交单一计算作业和并行计算作业，监测作业运行状态，实现磁盘共享和远程打印。

With the development of information technologies, there are some computing paradigms proposed to reduce the total cost of ownership, such as Network Computer, NetPC, Thin Client, Diskless Workstation and Transparent Computing, et al.

随着信息技术的发展，出现了多种降低用户总体拥有成本的计算模式，如Network Computer、NetPC、Thin Client、Diskless Workstation和透明计算等。

To achieve effective convergence of the heterogeneous networks and support mobile computing、ubiquitous computing, the key is the generalized mobility management technology that is open,efficient,and access technology independent.

要实现有效地融合各异构网络，以保证在不同网络间的无缝移动，则开放、高效、与接入技术无关的移动性管理技术是其关键。

Analog output can display output results.

可以模拟输出显示输出效果。

It implied that RAPD technique pro vided a new alternative for checking irradiation induced effects.

对扩增产物进行数据分析，结果表明RAPD技术能够检测出辐射后唐菖蒲基因组变异情况，可用于对唐菖蒲辐射后基因变异的分析。