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In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发,在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形,引入了一种径向基函数插值方法,并建立了相应的误差估计;再利用这种插值性质,从一类特殊径向基函数出发构造Sobolev空间的一组基,针对Poisson方程第三类边值问题和重调和方程类似边值问题,为用无网格算法求解偏微分方程边值问题建立了相应的理论,并通过算例来验证了这一算法。

We had no central defenders and a goalkeeper back from a near-death experience and trying out a crash helmet for the first time, so, by rights, any half way decent team would have reduced us to the condition of broken digestive biscuits within half an hour.

应该不是,那时我们场上没有一名100%的中后卫,而把守大门的是一位刚从死亡边缘回来、第一次尝试戴上头盔来进行比赛的门将,因此,客观地说,任何一支水平一般的球队都完全可以在半小时内把我们弄得像消化饼干一样破破烂烂。

Based on the summarizing of the exiting algorithms of the texture mapping and antialiasing, this paper goes deeply into the basic theory and processing of texture mapping. The texture compress algorithm which can satisfy the need of the memory and time is given for the stochastic sampling in the inverse texture mapping; the geometry transformation in the texture mapping are discussed and the concepts of the unitary parametrization and the patch parametrization is proposed, some kinds of the unitary parametrization methods of parametric surfaces and the geometry transformation in the patch parametrization are also presented; in order to solve the aliasing in the parametrization of intermediate surface-sphere in two-part texture mapping, an area-preserving transformation is presented also; to improve the quality of the graph the aliasing in the texture mapping is analyzed from the aspect of signal process, and the modified summed-area tables algorithms is proposed; the distortion of the scanline conversion algorithms under perspective transformation is analyzed and the proper interpolation algorithm is presented so the aliasing problem of the polyhedral object after the unitary parametrization is efficiently solved.

本文在总结现有的纹理映射和反走样算法的基础上,深入研究了纹理映射的基本原理与过程,根据反向纹理映射对纹理随机采样的特殊要求,提出了一种可满足存储空间和寻址时间的纹理压缩存储算法;通过对纹理映射中几何变换理论的进一步深入探讨,提出了整体参数化和面片参数化的概念,并给出了参数化曲面的各种整体参数化方法和面片参数化的几何变换形式;针对现有的两步映射算法所存在的中间曲面—球面的参数化问题,提出一种等积映射方法,较好地实现了由非参数化面片拼接而成的多面体表面的纹理映射;从信号采样的角度深入分析了纹理映射中走样产生的原因,提出了改进的区域求和表算法,使图形生成的效果有所提高;还分析了一般的扫描线算法在透视变换中所存在的问题,提出了一种正确的插值算法,从而解决了整体参数化后多面体表面纹理映射的几何变形问题。

Vast bat -like wings sprout from his back, and his long snaky tail is tipped with a razor sharp

但他有着和人类一样的手臂,巨大的蝙蝠般的翅膀从他的背上伸展出来,他长长的蛇一般的尾巴尖端有着剃刀形的毒刺。

Vast bat-like wings sprout from his back, and his long snaky tail is tipped with a razor sharp poisonous tip.

但他有着和人类一样的手臂,巨大的蝙蝠般的翅膀从他的背上伸展出来,他长长的蛇一般的尾巴尖端有着剃刀形的毒刺。

Incorporates an aviation turboblower, it provides snowstorm-like ultra-strong power with greatly reduced volume.

选用航空涡轮增压风机,超强的动力提供暴风雪般的效果,而体积大大减小;重量和尺寸都适合一般的运输车辆。

As soon as unites on ~ the mouth and the lower mandible bumps, as soon as the cerebrum thought that a mouth saying, the words and expressions comes out ~ we to live the aspects to have these people, the motion truly is the followed has big time difference ~ even is said a set made set of ~ to cause today's this aspect ~ limitation to have ~ in any country I not to be able to say did not have ~ to say others had not believed ~ kept on proclaiming for the people serves, that do not be affectedly virtuous, that did not want the ambiguity standard, let the human think that gastric disorder ~ did lets the human sleep the ~~ unity to exceed in all ~ other biospheres also to exist thisPerhaps as soon as the phenomenon, I cannot say any ~~~ to be mad that the cry shouted the ~~ confidence to want, should have, also hoped that our decision-making strata could complete these the ~~ final welfare not to have several spots to say the utopia came ~ this somewhat to be out of touch with reality, who ignorant will somewhat making be ~ illiterate not, the populace got up, wake first are pat with the board brick are your ~ China progress the ~ China to go forward the ~ world in the change, all were such gratifying, but the unorthodox article, the human thought that Yan was not generalYan ~ 'thanks cooperates ~ Battlefield Market diplomacy field Yard Living conditions ~ all has these phenomenon ~ sunlight club to welcome everybody to welcome all corners of the country the friend presence to instruct ~ to leave behind signature ~~ to thank cooperates the ~ sunlight hot line:+086 13611012712 Abundant host: Yang Haijun

团结~上嘴与下嘴一碰,大脑一想,嘴吧一说,词语就出来~我们生活中的方方面面都有这些人,行动确实是跟随有着很大的时间差~甚至是说一套做一套~造成了今天的这个局面~局限性在任何国家都有~我不能说没有~说没有别人也不相信~口口声声为人民服务,那就不要道貌岸然,那就不要双重性的标准,让人觉得反胃~做的让人睡大觉~~团结胜过一切~其它生物圈里也存在这一现象,我不能说什么~也许吧~~一气鸣呼了~~信心还是要的,还是应该有的,也希望我们的决策层能将这些做好~~最后福利不要有几个点就说大同世界来了~这有些闭目塞听,有些愚昧的做为~愚民谁不会,还是民众起来,醒来第一个就是用板砖拍的就是你~中国进步了~中国前进了~世界在变化,一切的一切都是那么的让人欣慰,但是不入流的文章,让人觉得琰不是一般的琰~'谢谢合作~战场商场外交场工作场生活环境~都无一不有这些现象~阳光俱乐部欢迎大家欢迎五湖四海的朋友光临指导~留下印迹~~谢谢合作~阳光热线:+086 13611012712 博主:杨海军

Found in coastal waters worldwide, humpbacks are known for their magical songs, haunting sequences of moans, howls, cries, and other noises that often continue for hours on end.

在世界各地的近海海域内,座头鲸以其音乐般的叫声为人所知。她们隐约有序的呜咽、低吼、叫喊和其它噪音一般的声音会持续数小时之久。

Our desire lends the colours of the rainbow to the mere mists and vapours of life.

我们的愿望,将彩虹般的色彩借给那不过是云雾一般的人生。

April-August - Lupin becomes involved in a quest for the secret of the Fountain of Youth, a mineral water source hidden under a lake in the Auvergne, which is sought by Inspector Marescal and his nemesis, the eponymous green-eyed beauty, Aurelie d'Asteux, and Constance Bakefield, a blue-eyed beauty, the daughter of a British diplomat and the head of a daring gang of thieves, a British female Lupin.

4月-8月——罗宾被卷人一场探寻一个湖底的宝藏的活动。国际密探马雷卡尔和他的对手们都竞相寻找这个宝藏。他的对手包括一位谜一般的绿眼睛少女奥蕾莉·塔斯都和一位蓝眼睛的美女康士坦斯·贝克菲特,她是英国一位外交官的女儿,同时也是一伙大胆的盗贼的首领,可以说是一个英国版的女罗宾。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。