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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。

A silver basin sat under the chair to catch the waters when they broke and to hold the afterbirth until it could be properly disposed.

一个银盆放在椅子下，破水时用来盛放淌出的羊水和娩出的胞衣。

Industrial and commercial departments join hands to continue to promote the use of such methods as chain store, agency, distribution and second-hand shop, to give full play to modern selling method's active role in opening up urban and rural markets and expanding sales, perfect and improve various types of central wholesale markets, properly organize various types of commodity fairs, so as to better satisfy different demands of urban and rural consumers.

工商联手，继续推进连锁、代理、配送、旧货等新型营销方式，充分发挥现代营销方式在开拓城乡市场，扩大销售中的积极作用，完善提高各类中心批发市场，组织好各类商品展销会更好地满足城乡消费者不同层次的需求。

Everyone who is incarnate at this time has a higher self and this higher self is aware of the specialness of this time, but the ego-personality within the human instrument is not easily accessible to the higher self, and unless it has been properly conditioned and prepared, the ego-personality will become like an agoraphobic who's afraid of wild expansive places and simply wants to remain enclosed in its own reality.

每一个在此刻转世的人都有一个更高的自我，这个高我已经觉醒到这一时刻的特殊性，而在人类仪具中的自我人格不是那么容易接近高我的，除非它被适当地条件化，适当地准备，否则自我人格会变得像一个有旷野恐惧症的人，害怕广阔的空间，只想封闭地呆在它自己的现实里。

The front face of the Mirage GT comes with a front apron with air inlets for the front coolers and Gemballa's own bonnet and front wings also help to usher the air along the top of the car properly through the roof channel and onto the air scoop of the engine bay.

的前面板的幻影燃气轮机配备前停机坪与进气口的前端冷却器和Gemballa自己的帽子和前翼也有助于开创空气上方的汽车通过适当渠道和屋顶上的进气口的发动机湾。

If you have an airframe certificate you don't need any other certificate, but you must be properly trained and qualified and have the proper tools and equipment.

如果你已经有机身执照，那你就不需要其他证照。但是必须接受专业的训练及能使用正确的工具及仪器。

In this paper, multivariate Lagrange interpolation problems are systemically discussed,and through amending Cramer Strange Proposition and proving interpolation theory, the geometry construction of the properly posed sets of nodes along the plane algebraic curve is studied, at the same time, a number of practical constructing methods are given.

本文系统阐述了多元Lagrange插值问题，通过修正Cramer奇论并用插值法加以证明，进一步对沿平面代数曲线插值唯一可解点组的几何结构进行深入的研究，同时得到了一些实用性较强的构造方法。

You should make it a point to keep your foot firm and properly aligned.

你应该使其成为一个点，让您的脚坚定和妥善不结盟。

These two subs are not properly aligned, as you can see from this position.

这两个接头不同心，你可以从这个位置上看出来来。

In order to determine the carbonation interface properly, Alizarin yellow R is chosen as the acid base indicator.

研制了新的具有球形凹面的混凝土试块及相应模具，实现了混凝土碳化试块的非破坏测试；选择了茜素黄R作为酸碱指示剂，合理地确定了检测时的碳化界面。

It goes back to what I told you...

现在回到我告诉过你的。。。

With a supporter in Mr Charest and an admirer in Mr Dumont, Mr Harper may be encouraged to call an election himself.

由于在沙雷那边有个支持者，杜蒙那边有个崇拜者，鼓励哈珀为自己举行一次选举。