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First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

To some extent,PA has toxic effect on many animals and the interaction of PA and other mycotoxin on animals will contribute to cumulative toxicity and enhance its toxicity.Hence,rapid and effective approaches of testing should be discovered and research on its toxicology to cope with the serious threat of PA posed to animals and humans.

青霉酸对多种动物有不同程度的毒性作用，且与其他霉菌毒素有累加、协同甚至增强作用，给动物和人们的身体健康带来很大的危害，因此迫切需要开展免疫学快速检测技术和毒理学的研究。

For any non-Jewish artist, composer or writer that posed some tricky questions: would it be easy, or even possible, to work in exile; would it be patriotic to stay-or to leave?

这就对每一位非犹太族的艺术家、作曲家或是作家提出了一些刁钻的问题：在流亡时继续创作是一件容易的事吗？

Base -on optimal stack filtering theory, the multi-stage adaptive WOS filter is pro posed by expressing the PBF of WOS filter in term of linear separate function.

根据层叠滤波器理论，所有WOS滤波器正布尔函数都是线性可分离的。

The long-necked, informally dressed, young woman with casually upswept hair was clearly a coquette—or posed to portray one.

画中的年轻女子脖颈纤长、衣着不整、一头长发随意挽起，不是卖弄风情，就是为绘画摆姿势。

But the risks posed by an early or even a timetabled American getaway are still far too big—at any rate, for Iraqis.

但无论作何考量，对于伊拉克人来说，美军早早撤离、甚至给出撤军时间表所带来的风险都太大了。

Birkdale changes favour strategy over strength - BRAIN rather than brawn will be the quality most required to win future stagings of the Open after the Royal and Ancient Golf Club indicated a preference for increasing the strategic challenge posed by the great links around Britain rather than ...

birkdale改变策略，赞成实力-脑而非腕力将最需要的素质打赢未来开放后的分期及古皇家高尔夫球俱乐部表示偏好越来越大的战略挑战，而不是：：英国各地联系

Almost every MP spoke about what he or she had seen and heard in China in recent parliamentary sittings to highlight the opportunities offered and challenges posed by China.

最近在国会，几乎所有议员都谈一段自己的中国见闻录，借以论述中国带来的机会和挑战。

Ymliew: Are the questions posed to Maggie just the chicken rice and roti prata types or have more intellectual questions being screened off.

发给玛姬的问题只是鸡饭和印度拉饼之类的问题吗，还是有更理智的问题被筛掉了。

A question was posed on the Zoss pen list asking whether a nib that was not marked 18K was fake.

有人在Zoss钢笔目录上传了一个问题，他想知道没有烙上18K字样的笔尖是不是膺品。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。