查询词典 Xn.

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。

This indicates the presence of the surface states on the surface of the barrier layer.

近期的研究表明，在GaN和AlxGa1-xN势垒层的表面存在表面态，这对GaN和AlxGa1-xN/GaN异质结中载流子的分布有显著的影响[8～ 11] ，从而对基于调制掺杂AlxGa1-xN/GaN异质结构器件的性能有着很大的影响，会降低载流子浓度和漏电流，减小器件的跨导和阈值电压。

If the power series ∑anxn an ∑anxn and ∑bnxn satisfy the condition r =∑bn xn, we obtain the twin combinatorial identity theorem between the sequences {an} and bn}.We also obtain some specific twin combinatorial identities by using the expansion on the binomial expression formula, including two expansions of combinatorial number(rsn and ...

如果幂级数∑anxn与∑bnxn满足条件r＝∑bnxn 时，获得数列｛an｝与｛bn｝之间孪生组合恒等式的定理，应用在二项式定理等展开式上得出具体的多组孪生组合恒等式，其中包含组合数的两种展开法，Bernoulli数直接表达式的新证等结果。

Wbe a complete convex metric space ,T be a beneral quasi-contractive mapping satisfying certain condition and {x n}be the Ishikawa type iterative sequence with errors of T.

设是完备的凸度量空间，T ：E→E是广义拟—压缩映象，{xn}为T的带误差项的Ishikawa迭代序列。

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。

Although the mechanism of the protective effect of XN is unclear, our results indicate that XN exhibits antigenotoxic effects in fresh liver tissue and provide additionalevidence for the cancer preventive potential of XN.

虽然黄腐酚的保护作用机制是不太明显，但我们的结果表明，黄腐酚在新鲜的肝组织中显示出抗基因毒化性作用，且为黄腐酚的潜在癌症预防提供了更多的证据。

A logical expression of the form a1︿a2︿…︿an where︿is the AND operation. A particular conjunction of interest is the conjunctive normal form of a Boolean expression involvingn variables x1, x2,…,xn.

一种逻辑表达式a1︿a2︿…︿an，其中︿是AND运算，一个特别重要的合取运算是涉及n个变量x1，x2，…，xn的布尔表达式的&合取范式&。

A particular conjunction of interest is the conjunctive normal form of a Boolean expression involvingn variables x1, x2,…,xn.

一种逻辑表达式a1∧a2∧…∧an，其中∧是AND运算，一个特别重要的合取运算是涉及n个变量x1，x2，…，xn的布尔表达式的&合取范式&。

The methods of IR and others were carried on in order toverify the structural formula of XN. The validation of analytical procedures wasconducted according to quality standard of XN in supplement of ChinesePharmacopoeia in 2002. The results show that the structural formula of XN isright and XN can be analysed in accordance with the quality specification of ChP.The results of three lots repeat tests show that the optimal process for XN wasrepeated excellently and quality of products is stable and controllable.

所合成的烟酸占替诺经红外分光光度法等波谱测定，证明其结构正确；经检验方法学验证，确证该产品适用于按《中国药典》质量标准检验；经三批次重复验证试验，结果表明优选的烟酸占替诺合成工艺重现性好，所得产品质量可控，收率为91.1%，接近文献报道的最高收率。

The standard error was estimated using the range R = xmax ?xmin of the samples x1, x2,…, xn .

通过样本x1，x2，…，xn的极差R = x_-x_估计样本标准差S和变异系数的结果为： 2。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。