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In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识,如多项式的Bernstein-Bézier表示,相容三角剖分的定义,Bézier三角样条曲面保凸的条件,相邻Bézier曲面片函数连续和几何连续的条件等,特别地,在刘鼎元关于几何连续条件的一般定理的基础上,导出了几个较简单的实用的一阶几何连续条件。

Studies showed that there were two typical combinations of the facies in the filling sedimentary sequence of the epicontinental basin, wherein one was the depositional diastem developed between the facies, which was a discontinuous combination of the depositional facies with continuous time sequence, namely the exposed sediments, the tidal flat swamp and the peat swamp, and the shallow marine sediments appeared from bottom to top; and the other was the continuous sequence with gradually evolved sedimentary environment, in which it was a continuous process that the tidal flat swamp turned gradually into the peat swamp.

研究表明:陆表海盆地充填沉积序列中有两种较为典型的相组合,一是相与相间发育沉积间断面,为不连续沉积相组合,但在时间序列上是连续的,即自下而上依次为暴露沉积、潮坪沼泽及泥炭沼泽、浅海沉积;第二种序列是连续相序,盆地的环境演化是渐变的,潮坪沼泽化逐渐泥炭沼泽化是一个连续过程。

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。

In particular, if a mapping F is sublower semicontinuous then F is necessarily almost lower semicontinuous, but the inverse implication is false .

特别地,文中证明了:一个几乎下半连续映射F不必是次下半连续的,但是,次下半连续映射必定是几乎下半连续的。

With the rotating screw and mesh, these seals in the pump suction space evolving, the suction chamber in which liquid enclosure and along the screw axis from the inhalation of room to move continuously push exhaust side, will be closed in the space been discharged in the liquid, like a nut when the screw rotation continued to move forward is the case, this is the basic principle of the screw pump.

随着螺杆的转动和啮合,这些密封空间在泵的吸入端不断形成,将吸入室中的液体封入其中,并自吸入室沿螺杆轴向连续地推移至排出端,将封闭在各空间中的液体不断排出,犹如一螺母在螺纹回转时被不断向前推进的情形那样,这就是螺杆泵的基本工作原理。

China played consistently and made few errors while their opponents were left scrambling to return the ball.

中国队连续地进攻并且很少失误,同时他们的对手还不断失分

The results are summarized as follows:(1) Observing and recording copulation events of whiteflies on plants using a video cameraA cost-effective,efficient,and reliable video recording system for observing and recording the mating behaviour of whitefly on live plants was developed.

结果如下:(1)使用摄像机观察和记录烟粉虱在活体植物上的交配行为研发了一套用于观察和记录烟粉虱在活体植物上交配行为的摄像系统,经验证该系统可以准确、连续地观察和记录该虫在较自然状态下的求偶和交配行为。

These results demonstrate that mAbCD28 and its Fab fragments can not induce transplantation tolerance in the rat PTG allograft model.

结果发现,从移植后第四天起再连续地给予mAbCD28及其Fab片段不能延长实验组移植物的存活时间,说明它们不能逆转已经发生的排斥反应。

I started out in the photojournalism field 10 years ago, working for a provincial evening newspaper

自那以后,我连续地为更多读者和更高新闻道德标准的报纸工作。

The plates move slowly and continuously on the atmosphere, a layer of hot, soft rock in the mantle.

板块缓慢连续地在软流圈上移动,该软流圈是指地幔中炽热柔软层。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?