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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。

The finding indicates that subjects create different appearances to feature boys and girls. Clothes are the most popular approach used, followed by hair-style, action and ornaments."Girls wear skirts" is a stereotype used most often by female subjects. Most subjects describe girls' action more positively than boys'.More male subjects used negative descriptors than female subjects. Most of the subjects are aware of and concern with the social sanction of behaviors. Socially disapproved behaviors by girls are more likely to be criticized by all subjects. The concept of "girls do house work" decreases with subjects' grade level.

研究结果发现,在图像的部份,学生主要依序以「衣服」、「发型」、「动作/或活动」、和「配件」来区分男与女的差异,其中以「动作/或活动」来作区别的随著年级的增长而递增,「女孩穿著裙子」的概念固著於学生的图像表现,女学生尤然;在文字部份所表现的,「男孩图像」所得的负面描述多於「女孩图像」,男学生使用的负面描述用语多於女学生;无论男或女学生普遍都倾向於以社会价值标准来衡量不可以作的事情,其中较多的男学生更倾向於社会价值标准来界定女孩不可以作的事情。

The importation of plastic sequence data, the sequence is used, Roget different disorder and the different levels of test data for comparison.

输入序列为整形数据,用正序、逆序和不同乱序程度的不同数据作测试比较。

The maloperation of transverse differential current protection will be caused by the circulating current when each fault occurs in parallel lines.

该文利用六序故障分量法对平行双回线的零序循环电流进行了分析,用零序电流对电流平衡保护的起动判据作了改进。

That is opens the first year in the Tang Dynasty, arranged one "New Year Writing Pronunciation and meaning" to make the foreword by Emperor Xuanzong in Tanh dynasty, in the book changes the bitter edible plant is the tea.

那是在唐代开元年间,编了一部《开元文字音义》由唐玄宗作序,书中改&荼&为&茶&。

The edition of Mingzhi was prefaced by the Chinese Wang Zhiben who was touring in Japan, and emendated by the Japanese Noboru Oda. They deleted the content which Jiao Zhong supplied when reprinted this tea book, but appended seven issues about tea which from Tu Long "Kao Pan Yu Shi".

明治本由当时旅日华人王治本作序,日人小田诚一郎&训点&,他们在重印时删除了蕉中增补的内容,却又添进了&采录&屠隆《考盘余事》七则茶事。

This is achieved by prefacing the member number with S, X, D or Z respectively.

这是通过与S作序的,十,分别为D或成员数目。

I am feel honor for prefacing of essay collection.

如今能为这本散文集作序,我觉得很荣幸。

Let me preface this article with the notion that I truly , indeed detest the word diet , but for simplicities sake ?

让我作序,这条与概念,即我真的,确实是讨厌这个词的饮食,但对于易为了?

If the book is well-written,it will sell without my recommendations.

如果这本书写的好的话,就不用我来作序了。

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推荐网络例句

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?