在上文中

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。

In his short story The Cask of Amontillado, the diction, syntax and narration all match well with the horrible atmosphere and the theme of revenge. By analyzing the stylistic features of this story, we can easily see Poe抯 skills in story writing and the artistic charm of his works.

在《评霍桑的故事重述》(1842)一文中，他提出了自己著名的小说理论：小说的创作过程是由作家精心设计了某种要达到的单一效果——例如幽默或恐怖——然后他编造情节并把它们串联起来，在最大限度上达到预定的效果。

To remedy such a situation, this paper puts forward a method of normal and reverse radial lines to realize automatic routing of the link and loop network based on automatic routing of the radial network.

文中从建立城市中压配电网络的全局角度出发，在辐射接线模式自动布局的基础上，提出按正向和反向辐射线路布局的思路，完成多分段单联络接线模式的自动布局，即在进行辐射线路布局的同时考虑联络线的布局，这更符合整体规划的要求。

At present, the industrial production of PO includes mainly Chlorohydrin process and Halcon process.

在本论文中，利用分子氧为氧化剂在几种银和铜催化剂上进行了丙烯环氧化反应的探索研究。

In this paper, we use a light-weight encryption scheme called Privacy Homomorphism that supports operations over ciphertext for our purpose.

因此在这篇论文中，我们利用了轻量化的加密演算法且能提供在密文上做资料计算的方法Privacy Homomorphism来达成我们的目标。

Since the general limit state equation established is based on circular section,four calculation methods with section of roadway changed into equivalent circle section are put forward.

由于总体极限状态方程是在圆形巷道的基础上建立的，因此在文中还给出了一般形状巷道转化为等代圆形巷道时其半径的四种计算方法。

It is obvious that, in the interface between substrate and diamond film,there exists the lattice strain effect resulting from lattice misfit because ofthe difference between the lattice constants.The lattice strain effect willcause some nonnegligible influences on the processes of diamond films′growth.

在本论文中，我们首次提出了在异质衬底上研究金刚石薄膜生长机理时必须引入晶格应变效应微扰修正的物理思想，并借鉴固体能带应变微扰理论，首次在分子轨道理论框架下建立起计算晶格应变微扰效应的理论，其中包括提出了计算单个化学键应变张量的方法和由分子轨道波函数计算应变微扰Hamilton矩阵元的方法。

In many systems this Kato Sophia is sharply distinguished from the Higher Wisdom mentioned above; as, for instance, in the magic formula for the dead mentioned by Irenaeus (op. cit., I, xxi, 5), in which the departed has to address the hostile archons thus: I am a vessel more precious than the female who made you. If your mother ignores the source whence she is, I know myself, and I known whence I am and invoke the incorruptible Sophia, whois in the Father, the mother of your mother, who has neither father nor husband. A man-woman, born from a woman, has made you, not knowing her mother, but thinking herself alone. But I invoke her mother.

&在许多系统中，这加藤上智是急剧有别于更高的智慧，如上所述；作为，例如，在神奇公式为死者所提到的爱任纽（业务引文中，我21 ， 5 ），其中要离开地址敌对执政官：&我是一艘更为珍贵，比女性是谁，你，如果你的母亲忽略了来源whence她，我知道我自己，我已知whence我和引用廉洁索菲亚，的WHOIS在父亲，母亲，你母亲，谁没有父亲，也没有丈夫，一名男子-女子，从出生的一名女子，已取得了你，不知道她的母亲，但自己独自思考，但我引用她的母亲。

First, based on the measurements of absorption cross-section, the absorption characters of the main polluted gases in flue gas were deeply studied, and found that SO_2、 NO、 NO_2、 NH_3 had a character of approximate periods absorption at some wave band, which is a good chance of a new measurement introduced. Secondly, the factors about absorption cross-section of the gases measured, which affect on the measurement precision of DOAS, is studied deeply. The influence of pressure and temperature on absorption cross-section was given special research, and the compensated measures were given to the gases based on the character of the gases. Thirdly, in practical measurement, it must have been satisfied that the monochromator was consisted with the reference spectrum, which was based on absorption cross-section. In order to satisfy the consistency, the technique of reversion in the image was introduced, the reversions of spectrums were realized with wiener filter and noise elimination based on wavelet transform.

首先从吸收截面的测量入手，对烟气中主要的污染气体SO_2、NO、NO_2、NH_3的吸收特性进行详细研究，发现这些气体在局部区域具有准周期吸收特征，这为引入新的测量方法提供了契机；其次，对决定DOAS测量精度的被测气体吸收截面的诸多问题进行了深入研究，重点研究了压力、温度对被测气体吸收截面的影响，并针对被测气体的特征提出了相应的修正措施；再次，在实际测量中，要求所使用的光谱仪必须与以吸收截面为基础的参考光谱相匹配，为了满足匹配这一条件，文中将图像复原技术引入到光谱复原，使用维纳滤波和小波消噪实现了光谱的复原，将复原后的光谱与所使用光谱仪的仪器函数卷积，即可实现；最后，在对DOAS测量原理详细分析的基础上，对传统的最小二乘—差分吸收光谱法进行了详细的阐述，通过实验证实两点：1。

Tall in stature and portly in appearance (Jerome, loc. cit.,"grandis et corpulentus"), Pelagius was highly educated, spoke and wrote Latin as well as Greek with great fluency and was well versed in theology.

高大的地位和portly在外观上（杰罗姆，在上述引文中，&格兰迪等corpulentus &），伯拉纠是受过高深教育，以写拉丁美洲以及希腊与伟大的流利程度，是熟悉在神学。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。