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This thesis consists of three chapters .In chapter one , the distributions of the last exit time and the corresponding results of Brownian motion in Markov process are introduced ,and previous remarkable achievements on the excursion of Brownian motion are numerated too ,also ,we introduce the main results and the history of elliptic diffusion process; In chapter two ,we summarily describe the excursion in Markov process and the result of the first hitting time of the elliptic diffusion process ; In last chapter ,we study estimates for the distributions of above three maximum excursions and minimum excursion in the elliptic diffusion process on R (d≥3), which leads the excursion of Brownian motion on ball on R (d≥3) to become a particular case .

全文共分三章,第一章介绍对称Markov过程中布朗运动的未离时分布及相关研究结果,列举了前人对布朗运动的游程问题的研究成果,并用较多篇幅介绍了一类特殊且非常重要的扩散过程——一致椭圆扩散过程的研究历史和本文的主要研究结果;第二章介绍Markov过程有关停时及游程的概念,叙述了一致椭圆扩散过程的定义,并给出了一致椭圆扩散过程有关首中时的结果;第三章是本文的核心部分,详细讨论了暂留一致椭圆扩散过程关于R~d(d≥3)上球的三类极大游程和极小游程的分布估计,使得布朗运动关于球的游程问题成为特例。

Keyop whispered to Tiny, Sometimes I get the feeling we're totally outclassed, you know?

& / 极小的被耳语到的 Keyop,&有时我得到我们完全地被更高级的感觉,你知道?

By analyzing the ratio of carbon-14 to nitrogen-14, researchers can determine, within a narrow margin, when the sample in question last breathed or photosynthesized .

通过分析碳14和氮14的比例,研究人员能够以极小的误差确定被研究的标本最后进行呼吸的时间或最后进行光合作用的时间。

Cracks appeared in the walls, letting in pinpoints of light, restoring sight.

裂缝在墙壁中出现,让光的极小之物进去,回复视力。

Therefore, predigesting model and especial method are all necessary in the course of searching the minimal of protein folding energy function.

因而要对折叠过程进行研究,寻找能量函数的极小值必须借助简化模型和特殊方法进行。

Tiny was radioing the Chief.

极小的正在收音机领袖。

Contrast source inversion algorithm recasts the inversion problem as a minimization of a cost functional, thus an iterative sequence is formed to reconstruct the contrast sources and contrasts.

对比源反演算法将反演问题转化为求解成本泛函的极小值问题,从而形成重构对比源和对比度的迭代序列。

The government-dominated electoral authority redrew constituency boundaries this month, with the effect of minimising potential opposition gains.

本月份政府主导的选务机关重新划分选区边界,产生潜在反对党获益极小化的效应。

It is known that the VIP can be reformulated as an unconstrained minimization problem through the D-gap function.

我们知道,通过广义D-间隙函数,可以将变分不等式问题转化为一个无约束极小化问题。

On theoretical aspect, we knew that the minimax problem and the multilevel programming problems can be reformulated into MPEC problems.

在理论方面我们获知,极小极大问题和多层优化问题都可转化为 MPEC 问题来求解。

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推荐网络例句

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。

There is no differences of cell proliferation vitality between labeled and unlabeled NSCs.

双标记神经干细胞的增殖、分化活力与未标记神经干细胞相比无改变。