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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。

He paper has been analyzed the resonant multiplets spectrum of SnI,has been computed by means of linear regression the parameters of the ground and first excited state of SnI.

本文分析SnI共振谱线组，线性拟合计算基态和第一激发态的谱项参数。增加校正项─aL（L＋1）和aJ（J＋1），大大改善拟会精

Based on the results of the contrast of star to sky background in daytime, the detectable stellar magnitude limits are computed and analyzed as functions of observing heights, solar zeniths angle, wavebands and stellar spectral types for 3°×3° field of view.

根据恒星和白天大气背景辐射的对比度，计算和分析了3°×3°视场下，可探测星等极限值随观测高度、太阳天顶角、波段和恒星光谱类型的变化情况。

Good correlations were found between the computed phytoplankton absorption coefficient and the measured value,with the determination coefficients (r2) being higher than 0.97 and slopes being around 1.0;and the RMSE values could be controlled within 17% over the main absorption wavebands such as 443,490 and 683 nm.

基于这种光谱变化规律本文建立了ap分解模型，并采用2005年同一海区实测数据进行验证，发现模型计算光谱与实测数据有较好的相似性，在主要的吸收波段如443，490和683 nm处的平均相对偏差值在17％以内，两者之间线性关系拟合的决定系数(R2)均在0.97以上，斜率接近于1.0。

The sound field in the volute and the sound power levels of the cut-off noise for three volutes with different cut-off clearance have been computed and the acoustic pressure distribution in space and change with time are discussed.

本文用此方法计算了三个不同风舌间隙的离心风机蜗壳声场及风舌噪声声功率，并讨论了蜗壳内声压场分布和随时间变化。

According to verifying 11 vacuating wells parameters such as structure and sand body thickness that have been predicted by model, it shows high coincidence rate of more than 90% to real datum. Moreover, the permeability variation in pilot site accords with water flooding situation. The computed parameters such as reserves, cumulative oil production of single well and area, water cut have small relative error of less than 2%, the matching accuracy degree is high.

通过11口抽稀井检验，模型预测的构造、砂厚等参数与实际情况相比，符合率在90%以上；试验区的渗透率变化与水淹状况也具有较好的一致性；储量、区块及单井累积产油量、含水等参数计算的相对误差均小于2.0%，拟合精度高。

The author has suggested for the first time batch formula theory building on glass network structure concept basis.The upshots of batch theory are that intrasystem oxides was divided into network-forming oxide,network-modifying oxide and network-finishing oxide according to their property,and batch was computed according to quantitative rateof network-forming oxide,network-modifying oxide and network-finishing oxide.

笔者首次提出了建立在玻璃网络结构概念基础上的热法制作硅钾肥的配方理论，即将系统内氧化物组分按照其在玻璃网络体中的作用，划分为网络形成体和网络改性或修饰体，根据它们之间的量比关系进行配料计算。

It is the first time for this paper to study tribology problems by using of intelligent and computed simulation technique.

把智能仿真技术应用于摩擦学磨损研究是本文的新颖之处。

For external nodes, that is nodes that have been visited less than the threshold defined in Section 2, u and d^2 are computed as u=, and

对于外部节点，即节点已经访问过低于在第2条中定义的门槛，u和d^2计算，为

EICT is a new type of medical imaging technique, it reconstructs the electrical characteristic tomographs of a human body by making electrical measurements on the periphery of the object, and its main advantages are harmless and inexpensive.

电阻抗CT(Electrical Impedance Computed Tomography)是一种新兴的医学成像技术，它通过测量人体表面的转移阻抗来重建人体的电导率分布断层图，它的优点有无伤害和成本低廉等。

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。