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In view of the fuzzy characteristics of real world, fuzzy set theory and statistics with vague data are combined to generalize key theorem and bounds on rate of uniform convergence of learning processes as the base of statistical learning theory in this thesis.

摘要考虑到现实世界的模糊性，本文结合模糊集理论和模糊统计学的知识，对作为统计学习理论基础的关键定理和学习过程一致收敛速度的界进行推广，给出了模糊学习理论的关键定理和一致收敛速度的界。

In view of the uncertainty of the real world, trust theory and statistical learning theory are combined to generalize the key theorem and the bounds on the rate of uniform convergence of learning theory. This paper mainly investigates the basic problems of statistical learning theory with rough samples.

考虑到现实世界的不确定性，本文结合统计学习理论和信赖理论的知识，讨论了基于粗糙样本的统计学习理论的基本问题，对作为统计学习理论基础的关键定理和学习过程一致收敛速度的界进行了推广。

With a view of this, we propose the key theorem and discuss the bounds on the rate of uniform convergence of learning processes based on ERM principle when samples are corrupted by zero-expect noise.

基于此种考虑，本文提出了样本受零均值噪声影响下的学习理论的关键定理，并讨论了零均值噪声样本下的学习过程一致收敛速度的界。

The equivalence, performance bounds, existence, uniqueness and necessary condition of ME control are studied to show the ME method to be reasonable, applicable and effective.

ME方法是一种全局分析法，它不仅包含了MSE和MAP准则，且由于全文在整个推导中并未假定高斯性、线性和非时变等，因而原则上适用于诸如非高斯、非线性、时变等传统方法难以处理的复杂系统；不仅适用于工程系统，将其推广到决策、社会、经济等领域会更为自然和切合实际。

Their passion for fashion is unrelenting, and their dedication knows no bounds.

他们的激情为时尚是不退让的，并且他们的致力不知道区域。

In the commencement of life,we set no bounds to our inclinations.nor to the unrestricted

在这生活的开端，我们听任自己的志趣驰骋，放手给它们一切满足的机会。

Commencement of life,we set no bounds to our inclinations.nor to the unrestricted opportunities of

在这生活的开端，我们听任自己的志9 Q！

Commencement of life,we set no bounds to our inclinations.nor to the unrestricted

在这生活的开端，我们听任自己的志

After a detailed discussion of the variation theorem for upper bound calculation of eigenvalues, many standard procedures for determining lower bounds to eigenvalues are presented with chemical applications in mind.

本文将介绍无元素葛勒金法，此无元素法为利用变动最小二乘法所求的近似函数引入葛勒金弱式推导。可克服有限元素在工程上的限制。

The thesis also gives the estimated upper bounds of error decision probability. When the compressor is confined to be a lattice vector quantizer, a explicit mathematic equation for the rate of the performance convergence to the optimum is derived. On the other hand, Distortion Ratio Aproachs to the design of testing system on the basis of vector quantization are put forward, and methods for building the variable length decision tree as well as the fixed length one presented.

在算法方面，提出了失真比矢量量化检验器的设计方法以及可变长和固定码长分类判决树的生成算法；为了解决以矢量量化器为核心的处理系统运算量大，不易实时实现的问题，论文中引入了熵减的概念，在此基础上提出一种快速最近邻搜索编码方法，理论分析及实验结果均证实了这种算法的有效性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。