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Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

Neighbor-Joining analyses of teleost hepcidins showed that the eelpout 4cys variant arose independently from the notothenioid version, which lends support to adaptive evolution of reduced cysteine hepcidin variants on cold selection. The NJ tree also showed taxonomic-specific expansions of hepcidin variants, indicating that duplication and diversification of hepcidin genes play important roles in evolutionary response to diverse ecological conditions.

另外我们在另一种生活于南极水域的eelpout中也发现了一种含有4个半胱氨酸残基的hepcidin，而eelpout和南极鱼notothenioid在分类学上分属于不同亚目，是一类相差较远的物种，利用Neighbor-Joining方法建树分析发现eelpout的hepcidin虽然同样仅含有4个半胱氨酸残基，但和notothenioid的4cys_hepcidin有着不同的起源，这也进一步说明了hepcidin中半胱氨酸残基数目的减少确实是对寒冷环境的一种适应性进化。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

According to the structure and work principle of the bore evacuator and the principle of combustible cartridge case , the main reasons of the fire in combat room are low reliability of bore evacuator and incomplete combustion of combustible case.

根据某自行火炮抽气装置结构与工作原理以及可燃药筒燃烧机理，得出抽气装置抽气可靠性差与半可燃药筒燃烧不完全是战斗室失火主要原因，给出了抽气装置抽气可靠性计算模型，并分析了影响抽气装置抽气可靠性诸因素，提出了该自行火炮抽气装置结构改进建议；分析了半可燃药筒燃烧不完全原因，提出了半可燃药筒制造与验收及使用注意事项。这对于自行火炮的设计与使用均有一定的参考价值

In chapter 4, we define the notions of μ-semirings and λ-semirings and also study the primary properties of them. Moreover, we discuss the interrelation between them and the formal power series semirings of them.

第四章给出了μ-半环和λ-半环的定义和基本性质，讨论了两者的一些内在关系并研究了它们的形式幂级数半环。

Moreover, in half an hour's time, Connie heard Clifford talking to Mrs Bolton, in a hot, impulsive voice, revealing himself in a sort of passionless passion to the woman, as if she were half mistress, half foster-mother to him.

但是，半点钟后，康妮听着克利福对波太太用兴奋起劲的声音谈话，露着他自己对地这个妇人的无热情的热情。仿佛她是他的半情妇、半乳母似的。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

This doctoral dissertation is composed of several parts: At beginning, the frontal structure, the effects of diabatic heating and orography, the dynamics of frontal circulation and the mesoscale systems associated with front are reviewed. Several problems based on the review are brought forward. First, at present, the semigeostrophic frontogenesis theory is the most appropriate basic framework for the general explanation of the frontogenetic process. However, the comparison between semigeostrophic theory and the observation have revealed some inconsistencies. The newly observational facts increase the inconsistencies.

本博士论文主要由如下几部分组成，首先对锋面结构、地形和非绝热加热对锋的影响、锋生环流及锋面附近中尺度系统动力学问题的历史与现状进行了综述，在此基础上提出需要进行研究的若干问题：(1)、半地转锋生理论直到今天仍是解释锋生过程的最合适的理论框架，但是通过与观测事实比较，人们发现半地转理论不能对许多锋面观测特征给出令人满意的回答，新的观测事实使问题更加突出，这就向人们提出：是什么原因导致半地转理论与实际观测的不符？

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

PL2-1 was found to be a galactan, whose main chain consists of (1→4)-linked galactose, and a few of 1→3, 6 linkage, as branched points, arranged in the interval 1→4 linkage between. Some of them were located at the end of unreduced group.

实验结果表明，PL2-1为半乳聚糖，主链和侧链主要以1→4位键合，少量以1→3，6位键合的半乳糖构成主链分枝点，间隔排布于1→4位键之间，13.0%的半乳糖位于非还原末端。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。