查询词典 problem of fixed points

The algorithm has some problems, such as bias problem, aliasing problem and one problem that affects none-shade part of image and is caused by Gaussian blur. To solve these problems, this paper makes some improvement on the algorithm. Firstly, it uses the Woos average depth principle and PCF algorithm to solving bias problem and aliasing problem; secondly, it designs and implements an effective method to control the range of blur; thirdly, it adapts any size texture to story information. This method for keeping information plays important part on raising realistic graphic; fourthly, it takes use of the technology of programmable graphics hardware and the method of FBO to improve efficiency of algorithm.

由于基于高斯模糊的阴影算法存在阴影走样、量化误差和高斯模糊影响非阴影部分图像等问题，因此本文从以下几个方面对算法进行了改进：第一，在算法中添加了woo的平均深度值原理和PCF算法，改善了量化误差和阴影走样问题；第二，设计并实现了一种方法，有效地控制了高斯模糊的范围，提高了三维图形的真实感；第三，使用任意大小的纹理进行存储，提高了阴影的真实感；第四，通过可编程图形硬件技术的应用，提高了算法的运行速度。

Adopting speech record analysis by making a sound while thinking ,aiming at Organic Chemistry test questions and doing a lot of individual case analysis, The author summarizes the successful problem-solving thinking strategy for outstanding students of Organic Chemistry questions then edites the successful problem-solving thinking strategy for outstanding students as a teaching plan and trains consciously the students in the experiment team adhibiting the problem-solving thinking strategy for Organic Chemistry in the usual teaching practice activities to find out the characteristics of students" problem-solving thinking activity in Organic Chemistry and to improve the students" ability of problem-solving in Organic Chemistry rapidly.

然后，将优生成功解题的思维策略编成教案，在正常的教学实践活动中，有意识地对实验组学生进行有机化学问题解决思维策略训练，以了解学生有机化学解题思维活动特征，促进学生有机化学问题解决能力的迅速提高。实验以株洲六○一中学高三年级理科两个班的学生为被试，以自编《高中有机化学问题解决能力检验的前测和后测试题》和自编《高中生有机化学解题思维策略训练教程》各1套等为材料，通过6周的教学训练，收集训练前、后有机化学测试成绩等数据，采用SPSS10.0进行统计分析，得出如下研究结论： 1、对高三年级学生进行有机化学解题思维策略训练能有效地提高其有机化学解题能力。

Thirdly, we examine a job scheduling problem, in which jobs could be processed by multiple in-line steppers. This problem includes two decisions: job assignment and job sequencing. Through developing a new and concise representation scheme for modeling the two decisions, we solve the multiple-machine scheduling problem by various meta-heuristic algorithms. The preceding single-machine scheduling problem in fact is a special case of the multiple-machine scheduling problem.

第三部分探讨在多机情境下，求解工件排程问题，在此情境下产生两个决策变数：工件指派给各机台，以及工件在机台内的排序问题；为了解决此问题，本研究透过新的染色体设计，能同时代表此两个决策变数，使得解题空间变小，求得更好的解题品质。

A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points, Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.

证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点，介绍了Lips-chitz严格伪压缩映像下的的具误差的 Ishikawa和Mann迭代序列并证明了其强收敛性于不动点，其结果把非扩张映像推广到Lipschitz严格伪压缩映象上，改进了一些相关结果。

A plane curve formed by the locus of points equidistant from a fixed line and a fixed point not on the line.

按照他的观点，适应的差异不足以在数量上和种类上形成同量的小生境。

A plane curve formed by the locusof points equidistant from a fixed line and a fixed point not on the line.

抛物线到一固定直线和不在直线上某一固定点等距的点的轨迹所形成的平面曲线。

With complex analytical analysis for B, the fixed points of B at real axis and C-plane are found. It is proved that zero is the only attract fixed point and the iteration of B on the complex plane is symmetrical. And the domains of the constringency and the divergence of B are given.

通过对B的复解析分析，得出了B在实轴和复平面上不动点的性质与求解方法，证明了0点为唯一的吸引不动点；说明了B在复平面上迭代的对称性，求出了函数迭代在整数点处的敛散区域。

This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for set-valued nonexpansive mapping in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.

讨论了δ集值非扩张映象在一致凸Banach空间中不动点非空的充分必要条件与Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件，所得结果是单值非扩张映象的推广和发展。

In this paper, by Zorn lemma and cone theory, the existence of the random fixed points for discontinuous increasing operators was discussed and the existence theorems of random fixed point were obtained.

本文利用Zorn引理和锥理论，研究了不连续随机算子的随机不动点的存在性问题，得到了几个有关不连续随机增算子的随机不动点定理。

Inthe paper, we study the relation of pairs of lines and pairs of needles, and two results ofintegral formulas are gained. Thus, the geometric probability problem is solved. Also.we give a solution to the problem: pick two points randomly in a convex body K anddraw two lines passing through two points.

文章考虑了线偶与针偶的依附关系，得到了两个积分公式的结果，从而解决了这一问题，并得到了随机地在凸体K内任取两点，通过这两点任意投掷两直线，两直线的交点落入凸体K内的概率及其它的一些结果和推论。

After explaining total design of automated test system for microcircuit , the thesis introduces GPIB standard .

文章在说明了微电路模块自动测试系统的总体设计后，对GPIB标准进行了介绍。

He interceded in my behalf.

他替我说情。