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In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要:本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式,对这些余项公式进行分析,给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式,一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式,一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式,使得在已知原函数在各节点的值后,通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值,将以往提出的平均导数的二阶精度提高到四阶。

Because of cubic B spline curve have several advantages such as local controllable, continuity etc, an active contour model based on cubic B spline curve is proposed in this dissertation.

针对以上问题,结合三次B样条曲线连续性及局部可控性的特点,本文提出了一种基于三次B样条曲线的主动轮廓模型。

There had been three climaxes in investigating paradox in the logical history of the west. Especially the appearance of Rusells paradox leads to the third climax of the research into the paradox, which has directly accelerated the formation and development of mathematical logic.

在西方逻辑史上,曾有过三次悖论研究的高潮,尤其是罗素悖论所引发的第三次高潮,直接促进了数理逻辑的形成和发展。

You all did see that on the Lupercal I thrice presented him a kingly crown, which he did thrice refuse: was this ambition?

你们全都看过在「卢帕克」那一天我三次献给他一顶王冕,他三次拒绝接受:这是野心麼?

Three adjustments and three metamorphoses make capitalism the modern characters.

三次调整,三次蜕变,资本主义具有了现代色彩。

Spot last night for the first time since June 30, Abreu came up with men on base four times, and drove in at least one run on three of those occasions.

阿伯昨晚是自6月18日以来首次回到第三棒的位置,他昨晚在垒上有人的状况下上场四次,其中有三次至少打回一分。

As to nonparametric and semiparametric regression models, the most widely used regression methods include, spline method(such as smoothing spline, penalized spline and so on); local smoothness, such as Nadaraya-Watson kernel estimate, Gasser-Muller estimate, local polynomial method; the third is orthogonal series, including Fourier series and so on.

所以三次光滑样条应用比较广泛。本文应用三次光滑样条方法来估计单指标部分线性模型中单指标参数和变系数部分线性模型中的函数系数。

The Treviso-born star joined Juventus FC in 1993 after just 14 games for Serie B club Padova Calcio, and quickly became an integral part of a team whose attack also boasted the holy trinity of Roberto Baggio, Fabrizio Ravanelli and Gianluca Vialli. As Del Piero matured, his dazzling runs and free-kicks helped the club to three successive UEFA Champions League finals; he was part of the team that defeated AFC Ajax to win the 1995/96 edition but he also played in two subsequent final defeats, against BV Borussia Dortmund in 1996/97 - when Del Piero scored a fantastic back-heeled goal - and Real Madrid CF the following year.

这个在特雷维索出生的明星在1993年代表意乙级的帕多瓦参加了14场比赛之后加盟尤文图斯,并且很快成为这个以由Roberto Baggio, Fabrizio Ravanelli and Gianluca Viall组成的令人羡慕三人组为前锋的队中不可缺少的一部分,随着DEL PIERO的成熟,他眼花缭乱的跑位和任意球帮助球队三次进军欧洲冠军联赛的决赛,他是在996/1997赛季击败阿甲克斯的获得冠军的成员,但是也是在接下来的2次失败的决赛的成员,分别是1997/1998赛季决赛对多特蒙德的比赛,尽管在比赛中进了一个美妙的脚后跟进球,和接下来对皇家马德里的决赛。

The quadratic patches is fixed,and its parametric representation method is gained.The cubic patches reduce to three local factors through reducing Bernstein coefficients to control shape of curve,two of them are used to join segments into G2- continuity approximating curves for given sequence data in space,and the other is used to adjust shape of segment.

先固定二次曲面片,并得到其参数形式,然后约简三次曲面片所对应的Bernstein系数,使之为带有三个形状调整的形状因子,其中两个分别代表曲线段端点处的曲率,另外一个作为形状的调整。

The son of Peleus then drew his sword and sprang furiously upon him.

他一连拔了三次,使出浑身的解数,而一连三次都以不达目的告终。

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Do you know, i need you to come back

你知道吗,我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书,王祥生,李德昌。安徽省首次发现嗜群血蜱。

Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。