两维的

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。

Employing the bidimensional regression along with standard deviational ellipse, the authors compared the local and global distortions between two kinds of cognitive maps.

在此基础上，通过二维回归与误差椭圆的方法分别对两种外部化方法获得的结果进行全局与局部的比较，研究发现手绘草图的方法的结果更加符合实际地图；然而两个方法在变形的趋势上却大致相同。

At first, a model of a pair of excitable neurons coupled via gap junction is built by Chay model, the effect of the strength of gap junction on the synchronous oscillation is studied;then, the synchronous oscillations of a 2-D network are also studied;at last, the Lyapunov exponent and phase portrait are utilized in the analysis of nonlinear, the approximate entropy is utilized to measure the complexity.

首先以Chay模型为基础建立了两个神经元电突触耦合模型，研究了不同电突触耦合强度对两个神经元同步振荡的影响；其次，研究了可兴奋神经元组成的二维网络的同步振荡；最后，应用李雅普诺夫指数和相图分析了同步振荡的非线性，应用近似熵分析了同步振荡的复杂性。

As F. J. Harvey Darton, an early scholar of children's literature, explains, they "have the same ideal, in one aspect held by Rousseau, in another wholly rejected by him : the belief that a child should steadily contemplate Nature, and the conviction that by so doing he will be led to contemplate the traditional God".

这两本颂歌也是写给查尔斯的。一位研究儿童文学的早期学者 F.J。哈维。达顿这样解释，"这两本书主旨相同，部分和卢梭的观点相合，部分则与他的观点完全相反：它们确信儿童应该持之以恒地仔细思考自然，从思考自然过渡到思考传统意义上的上帝。"

In Chapter thirty-six there is an occasion when all the men gather to see Captain Ahab nailing the award of a doubloon to the mast for the man who sights Moby Dick first.

红字》和《白鲸》，是美国超验主义土壤孕育出的两颗珍珠，也是美国人民献给世界的一笔宝贵的精神财富；霍桑和梅尔维尔就是凭这两本书给十九世纪的美国文学打上了自己的烙印。

The structure analysis indicates that the reverse symmetry ligand H4LB molecules are linked into a 2D supermolecular network by two types of hydrogen bonds. One type occurs between the oxalamide oxygen group and the phenol hydroxyl qroup of the nearest molecule with d=2.906(2) and ∠O-H…O=151.8°. The other type is between the oxalamide nitrogen group and the oxalamide oxygen group of anther molecule with d=2.849(2),∠N-H…O=158.7°.

晶体结构研究表明配体H4L为顺式桥联分子，晶体中存在两种氢键，一种是草酰胺基团的O原子与苯环上的酚羟基形成O-H…O氢键[d=2.906(2)，∠O-H…O=151.8°]；另一种是草酰胺基团的氨基与相邻草酰胺基上的O原子形成N-H…O氢键[d=2.849(2)，∠N-H…O=158.7°]，通过上述两种氢键将化合物H4LB连接成二维网络结构。

The solution in the reactor has uniform inner heat source, and there are tiny air bubble built, the whole system is running by natural convection and the driving of air bubble. The gas-liquid two phase flow and heat transfer are mutual effecting to become the complex pyrology system.

堆内溶液是一个具有均匀内发热源，并伴随有微小气泡均匀生成的自然对流和气泡驱动同时作用下的三维复杂两相流动的物系，气液两相流流场与传热温度场相互作用，产生复杂的热工水力现象。

In this paper,the three dimensions finite element analysis on a 2 pad tilting pad bridge bearing load cell in large turbine generator sets has been made.

对大型汽轮发电机组剪切桥式两可倾瓦轴承负荷传感器结构进行了三维有限元分析，研究了不同边界条件对传感器结构应力场的影响，计算与试验结果对比表明；所建立的有限元模型是正确的，具有较高的计算精度，可将其用于两可倾瓦轴承负荷传感器最优结构设计。

We also summarized some effects which controlled their self-assembly behaviors.In chapter four, a series of PPEs with identical conjugated backbone but different side chains were synthesized and their two-dimensional assembly structure and chain foldings were studied by STM.

主要包括两方面内容：第四章，我们合成了一系列具有相同主链不同侧链的聚苯炔共轭聚合物，并在高定向热解石墨和辛基苯溶液的两相界面，采用STM在分子尺度观察了共轭聚合物链的二维组装结构及其链折叠的情况。

We also summarized some effects which controlled their self-assembly behaviors.In chapter four, a series of PPEs with identical conjugated backbone but different side chains were synthesized and their two-dimensional assembly structure and chain foldings were studied by STM.

主要包括两方面内容：第四章，我们合成了一系列具有相同主链不同侧链的聚苯炔共轭聚合物，并在高定向热解石墨和辛基苯溶液的两相界面，(来源：ABCd7论文94网www.abclunwen.com)采用STM在分子尺度观察了共轭聚合物链的二维组装结构及其链折叠的情况。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！