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The main objects of study are algebraic varieties in an affine or projective space over an algebraically closed field; these are introduced in Chapter I, to establish a number of basic concepts and examples.

全书共分七章，前三章是基础知识部分；后四章是本书的核心部分，总结了近年来代数几何码的最新研究成果，并且包含了作者的一些尚未发表的结果。

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。

At the same time, the conditions of affine transform approximation are given in this chapter.

第三章在仿射模型的基础上，首先从函数空间的角度建立起不变特征提取的模型，将不变特征提取归结为寻找具有特殊性质的核函数。

Chapter two dissertates the component and its configuration of the on-line supervisory control of hydraulic system of walking beam, including the aim, the content and the design principle of this kind of system is also discussed here, and then it introduces the application on network and PLC on-line supervisory control system for this project, including the comparability and affirmance of this system, and also introduces the actual component of this system.

接着论述了基于网络和PLC的监控系统组成在本改造项目中的应用，主要内容有：步进梁液压监控系统方案的比较，方案的确定，实际的在线监控系统的组成以及主要配置等。

No matter use,be your affix one's seal only, our chapter still does not have a lid, disable namely.

只是你盖章不管用，我们的章还没盖，就是无效。

What we conclude the first times is a Bank of China, we went countless times, talk about the meaning of Chinese banking network with them, he Shigong's sincerity and persistence, moved eventually Bank of China, finally, the Bank of China agreed to cooperate with us eventually, when I still remember bilateral affix one's seal, their delegate says, I this chapter is built go down, the mark is worn rise in value of network of your China banking 1 100 million.

我们第一家谈成的是中国银行，我们去了无数次，一遍遍和他们谈中国金融网的意义，何世红的诚意和执着，终于打动了中国银行，最后，中国银行终于同意与我们合作了，我还记得双方盖章的时候，他们的代表说，我这个章一盖下去，标志着你中国金融网增值了1个亿。

I am connected in telecommunication for a client ran main engine mandatory, contract of a year is fast expired, because my client admits need, think a bandwidth to share change to be enjoyed alone into 5M from original 100M, the sale that I and telecommunication connect was contacted, next the price also has talked, I am taking check to sign a contract with them, they let me first affix one's seal, next affix one's seal of head office of their go off with, wait for them to build a chapter to let me give them check again, I agreed, go back wait for their phone.

我为一个客户在电信通办了主机托管，一年的合同快到期了，我客户由于发展需要，想把带宽从原来的100M共享变更成5M独享，我和电信通的销售联系了，然后价格也谈好了，我就拿着支票去和他们签合同，他们让我先盖章，然后他们拿去总公司盖章，等他们盖完章再让我给他们支票，我就同意了，回去等他们电话。

Writing in the fifth century BC, in chapter 5 of his classic text, Aphorisms, he stated:"Swellings and pains in the joints, ulceration, those of a gouty nature, and sprains, are generally improved by a copious affusion of cold water, which reduces the swelling, and removes the pain; for a moderate degree of numbness removes pain."

假如希波克拉底还在世的话，该发现无疑会引起的兴趣，在写于公元前5世纪的他的一本经典格言书里，他说道："关节肿痛、痛风和扭伤可以用冷水来减轻痛苦和消肿；起到中等程度麻痹的作用去除疼痛。"

In chapter 2, we study how the circumburst environment influences the temporal evolution of the afterglow.

在第二章，我们以1998年5月19日发现的一个γ暴---GRB980519为例，研究了γ暴暴周环境对余辉随时间演化关系的影响。

Chapter 1 afterword: Part of the prayer is taken from the classical Buddhist Heart Sutra.

5楼（原注：第一章附言，一部分祷言是来自佛经。

At the rear was an innovative combination transaxle with the gearbox, clutch, differential, and inboard-mounted drum brakes.

在后面是与变速箱，离合器，差的创新结合变速，和内侧安装鼓式制动器。

For more people can apprecaite and have the master work, there is reproduction painting appears in the market, the large various selection of paint,the high saturation of color plus the plentiful sfumato, to make the reproduction perfect copy and detail as original painting, so as to meet the requirment of amateurs who love art paintings,they do not need to pay high price to get classical paintings.

颜料色域广，色彩饱和度高，色彩层次丰富，图像色彩还原真实，能完美的复制原作，满足艺术爱好者欣赏，艺术爱好者们不用支付昂贵的价格就能拥有经典油画。