异序的

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。

There are 196 groups of allotropy inDunhuang Bianwenall together while giving a synchronic description on structure, meaning and usage of these words, this paper also analyses the diachronic development and changes of these words. Then it probes deeply thespecial characteristics on these words of allotropy inDunhuang Bianwen. Finally, it explains the reasons of appearance about allotropy from the Chinese history.

敦煌变文中共出现了196组同素异序词，首先对这些词的结构、意义和用法进行了共时考察，揭示了同素异序词在这一时期呈现出的独特面貌；然后又历时地分析了这些词在现代汉语中的存亡情况，挖掘了同素异序词的发展演变轨迹；最后从汉语发展史的角度阐释了同素异序词的产生原因。

Words of allotropy is a special language phenomenon during the development process of Chinese vocabulary. It reflects notonlysome traits ofword disyllabled, but alsothe advantage of Chineseword-building.

摘 要：同素异序词是汉语词汇在发展过程中出现的一种特殊语言现象，它一方面反映了汉语复音化进程的某些特点，另一方面又反映出了汉语造词法的优越性。

This text had explored four kinds of methods to extract DNA template rapidly and conveniently from 12 kinds of Harmonia axyridis Pallas with different flecks and groundings on their back, followed by PCR and sequencing until the whole ITS-2 sequence.

本试验采用了四种DNA提取方法，提取了12种不同色斑型异色瓢虫的DNA，对异色瓢虫的rDNA-ITS 2经过PCR扩增和测序，得到完整的ITS-2序列。

Let X be a finite set and let be a family of distinct subsets of X; then the ordered pair H= is called a hypergraph.

设 X 是一个有限集合且ξ是 X 的相异部分集合所形成的集合族；则序对 H =称为一个超图形。

In order to elucidate the phylogenetic relationships of genus Bryodemella and answer such question as whether Bryodemella is a monophyletic genus, all 8 species of this genus were dealt with and a cladistic analysis is performed using thirty-four characters from external morphology in this paper.

为阐明异痂蝗属Bryodemella种间系统发育关系并回答该属是否为单系的问题，本文在研究外部形态结构的基础上选择了34个不同性状对异痂蝗属所有8种进行了支序分析，结果只产生1棵步长为55、一致性指数和保留指数均为0.80的最简约树。

We have explained to the question of standardizing with the "Tong_su_yi_xu synonymic words" in the last part of the article, namely while grasping a large number of language facts, we want the concrete problem to make a concrete analysis of, while in the norm, we should notice the rhetoric function with the "Tong_su_yi_xu synonymic words"too, the flexibility of its structure form can make Chinese

文章的最后阐述了对同素异序同义词的规范问题，要掌握大量的语言事实，具体问题具体分析，在规范的同时，我们也应该注意到同素异序同义词的修辞功用，它结构形式的灵活性可以使汉语词汇变得更加丰富多彩和富于变化，因而不能盲目、草率地将其当成语言中的赘疣进行规范。

"Tong_su_yi_xu synonymic words" is to say those two double-syllable composite words which have the same or the similar meaning (according to the meanings in "Modern Chinese Dictionary")and the same morphemes but different order.

&同素异序同义词&是指构词语素相同，语素位置互逆，词语的概念意义相同或者相近(主要依据《现代汉语词典》中对词语的释义)的成对出现的双音节合成词。

Thist paper chooses 90 groups of "Tong_su_yi_xu synonymic words" from "Modern Chinese dictionary ", and divides them into three kinds according to the interpretation method in the dictionary, regards web page of Sohu website as the platform, us.es the search engine to carry on the search of the word , count the frequency that every group"s word appears , and rejects artificially the mistakes appearing in all web pages that can be opened, language fact presented in observation post then carefully (namely the example sentence with this word appearing in the webpage), and find that the 90 groups of "Tong_su__yi_xu synonymic words" except that the meaning of a word is the same, have quite a few of at frequency of utilization and concrete usage for difference: Because people"s use habit and word use the difference on to cause the appearance frequency of the word analogous to or with a wide gap, because of word-building ability, the word collocates, the word overlaps or the language usually overlaps, linguistic context of area and times , the meaning of a word that the word appears are abstract and concrete, semanteme is laid particular emphasis on, the morphological feature-change, etc.

本文从《现代汉语词典》中选取90组同素异序同义词，按词典中的释义方法将其分成三类，以搜狐网站的网页为平台，运用搜索引擎进行词语的搜索，统计下每组词语出现的频率，并将所有能打开的网页中出现的错误进行人工干预，然后仔细观察所出现的语言事实(即网页中出现的含有该词语的例句)，发现这90组同素异序同义词除了词义相同之外，有相当一部分在使用频率和具体的用法上还存在着差别：由于人们的使用习惯和词语使用上的差异造成词语的出现频率相当或者相差悬殊，又因为构词能力、词语搭配、词语重叠或语素重叠、词语出现的区域和年代语境、词义抽象与具体、语义侧重、词性变化等方面的差异造成词语使用上的区别。

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 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。