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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。

Similarly, some factors of the electrochemistry and the chemistry of the aqueous solution, affecting the formation of Alb species, were also discussed.

同样地，对一些影响Alb形态生成的电化学和溶液化学因素进行了系统的研究。

The genus comprises a vast range of similarly shaped fish which vary in length from the 1.5-metre albacore to the bluefin, which can measure more than three metres.

这些种类包括广泛的同样形状的鱼，长短不一从1.5米的albacore到金枪鱼，其长度可以超过3米。

Similarly, there is no definite conclusion about the effect of cellular alkalinization. It is well known that alkaline conditions are cytotoxic, but the mechanisms leading to alkaline-induced cytotoxicity are still unclear.

细胞内的碱化对於细胞的作用同样尚未有一明确的定论，一般而言碱化被认为是对细胞体有害的刺激，但是其促使细胞死亡的机制也尚不明朗。

These functions behave similarly to the allocate and deallocate members of the allocator class.

这些函数的表现与 allocate 类的 allocator 和 deallocate 成员类似。

Similarly, the acyl-oxygen cleavage of MG mainly occurs at theleast hindered carbonyl group and alternating D,L-PLGA50 wasobtained.

同样，MG单体的开环主要发生在位阻较小的羰基一侧〓，合成了窄分子量分布的聚乳酸-交替-聚乙醇酸共聚物。

Similarly, the alveolus is attached to the root by the periodontal ligament and is in turn pulled along by the movement of the root.

同样，肺泡附在根的牙周膜，并反过来又退出了沿线的运动的根源。

Similarly, China's small forceof marines (about 5,000) indicates that an expansion of amphibious assault capabilities is not expected.

同样地，中国的小型海军陆战队（大约5000人）表明两栖登陆作战能力的增强是不太可能的。

Similarly, histological sections of amphioxus showed vacuolations and consequent destruction of the hepatic diverticulum.

实验结果显示文昌鱼的肝盲囊和脊椎动物的肝脏一样，也是受过量铜显著毒害的主要靶器官器官。

Compared with previous reports of similarly aged Singapore Chinese adults, the prevalence of myopia, astigmatism, and anisometropia was lower, whereas the prevalence of hyperopia was similar.

与前期报道的相似年龄的新加坡中国成年人相比，马来人的近视、散光和屈光参差的患病率要低，但远视的患病率相似。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。