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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。

When sects that were defined as heretical in their dissent--Waldenses, Albigenses, Cathari, and others--emerged to counter or contradict Roman Catholic concepts of Christian essence, they had to go into hiding or were pushed into enclaves beyond the enforcing reach of the custodians of official teaching.

当他们不同意的教派——韦尔多教派、阿比尔教派、卡特里派，还有其他被定为异端的时候——浮现出来的是算计，或者是与罗马天主教的基督教本质概念相抵触。他们不得不隐藏起来，被迫进入被包围的领土，是官方教义管理者的权力无法到达的地方。

In spite of the fact that the first patent on transient operation of chemical reactor was applied in 1938,the forced unsteady state operation of chemical reactors as an attractive novel technology and its associated profound theory are a new area of study in chemical reaction engineering.

尽管1938年就申请了化学反应器动态操作的第一个专利，但是化学反应器人为非定态操作作为一种具有吸引力的新技术和与之相联系的复杂理论仍然是化学反应工程研究的一个新领域。

To examine the data on CTC, the center analyzed 4 studies it considered to be of good or fair quality, which involved a total of 4312 patients. Depending on whether the scan was read by a gastroenterologist or an experienced radiologist, CTC identified 12 or 13 of a total of 14 colorectal cancers across the 4 studies. Compared with colonoscopy, the sensitivity of CTC ranged from 59% to 94% for detecting adenomas, depending on the size.

为了检验CTC研究数据，该中心分析四项被认为品质良好或不佳的研究，共有4，312位病患；依照该检验结果是否由肠胃科医师或是有经验的放射科医师判读，CTC在四项不同的研究中，侦测到12或13个大肠直肠癌，而总数量为14个；相较於大肠直肠镜，CTC的敏感度，在侦测腺瘤方面为59至94%，视肿瘤大小而定。

The dissociation constants p K HL1 is in the range of 3\^50 to 4.89, p K HL2 6.17 to 8.38, K HL1 / K HL2 is below 10 5, which is consistant with the results of potentiometric titration curve. The Cu 2+ complexation constant,is 1.346 for old manured loessal soil and 2.241 for dark cultivated loessal soil.A good optimization result is given by nonelectrostatic model.

胡敏酸的解离常数和Cu2+的络合常数应用计算机程序FTTEQL32表明，优化的解离常数pKHL1在3.50-4.89之间，pKHL2在6.17-8.38之间，2种形态一元胡敏酸解离常数之比小于105，与滴定曲线只有一个突跃区相一致2种土壤胡敏酸与Cu2+络合常数logKintACu大小分别为土HA1.346，黑垆土HA 2.241，非静电模式的优化结果较好。

Each that attunes to Tao time will anchor the end of time bell within and conclude with those patterns that do not resonate with one's "homecoming" ahead.

每一位接通到道时间的人们，都将把时间结束的钟声锚定到内在，并结束那些不再和自己前方回家的选择相共振的所有模式。

Based on the characteristics of casing annulus gas-venting wells, the particularity of multi-phase flow in the condition that the casing-head gas flows through a nearly stagnant liquid was investigated. Based on the theory of Taylor bubble, a model to calculate void fraction and pressure gradient in various viscosity liquids was developed. This model is applicable to bubbly flow and slug flow.

以泰勒气泡在黏滞流体中的上升流速作为主要依据，建立了不同油黏度下套管环空放气流动的截面含气率和压降计算模型，并提出了不同黏度、不同气油比的套管定压放气井环空流动计算及套管压力分布的多相流模型，该模型主要适用于泡流和段塞流。

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数，与分枝定界方法相结合，建立了求一般约束全局优化问题的拟凸松弛算法，这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

By the conventional unsymmetrical method and its negative-sequence network of fault calculation,this paper calculates negative-sequence current in open phase with one phase open or one phase closed of generator transformer broken.

1问题的提出目前国内从事发电的继电保护技术人员针对发变组启动失灵保护负序判据整定各有不同的看法，主要是需要考虑在启停机过程发生非全相失灵的情况。

The Cameo has a seven-inch color display and one of the more attractive borders I've seen on a digital photo frame: imitation black leather with white stitching.

Cameo拥有一个7英寸的显示屏，我见过的数字相框中比较吸引人的边框，用白丁定的黑色人造革。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。