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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。

Besides, the physiological significance of androecium or gynoecium abortion was discussed. In the evolution of long period of time, the aborted androecium or gynoecium "scrap" could be used by the same flower to offer energy and substance for flower development.

另外,探讨了雌蕊或雄蕊败育的生理意义,在长期的进化中,败育的雌蕊或雄蕊"废物"重新被利用,为同一花中迅速发育的雌蕊或雄蕊提供能量和物质的需求。

To reflect the new constraints and opportunities of 1000 core processors, Project Angstrom is rethinking all layers of computer systems, including the hardware, compiler, operating system, networking stacks, databases, languages, applications and theoretical foundations, thereby enabling us to harness the full multicore potential.

以反应新的限制和机率的1000核心处理器,项目 Abstraction 是重新考虑所有层次的计算机系统,包括硬体,编译器,操作系统,网络设备,资料库,语言,应用和理论基础,从而使我们能够充分利用多核心的潜力。

This paper is the design of the hydraulic baler for metal. It is aimed at the recycling and reuse of wasted metals. When baling, the baler which is controlled by the hydraulic system compresses the metal into bales. These bales are of the same size and are very convenient in recycling transportation and further use.

本文为液压金属打包机的设计,致力于废金属的回收和再利用,提出依靠液压来对废金属进行打包处理,使之成为具有相当规格尺寸的包块,来方便对废金属进行回收、运输、回炉再造,以重新投入到生产。

Pass the analysis, to how to resolve to save now these problemses put forward the oneself to consider 3:00, hoping the media of Hong Kong develop the enormous potential in its oneself, making use of the strong and big advantage of the oneself, working hard gradually with ameliorative and enrich the oneself, use him the stubborn vitality to can make the environment of the media get the improvement with the will of the healthy and strong development, push whole social economic development, mold the clean blue sky in one afresh.

通过分析,对如何解决现存这些问题提出了自己的三点思考,希望香港传媒发挥出它自身巨大的潜力,利用自身的强大优势,逐步努力和改善并丰富自己,用他顽强的生命力和茁壮发展的意志力使传媒的环境能够得到改善,推动整个社会经济的发展,重新塑造一片干净蔚蓝的天空。

BIOS update as a result of failure or CIH virus damage caused by the BIOS, if guided block (Award BIOS as the BIOS Boot Block, Phoenix BIOS called Flash Recover boot Block) has not been damaged, can be made to re-boot disk set BIOS (site specific methods can refer to the relevant articles, will not repeat them here), if the boot block is also damaged, the available hot-swap method or by the use of security programmer repair.

由于 BIOS 刷新失败或 CIH 病毒造成的 BIOS 受损的问题,如果引导块(Award BIOS 中称为 BIOS Boot Block 、 Phoenix BIOS 中称为 Flash Recover boot Block)未被破坏,可用自制的启动盘进行重新刷新 BIOS(具体方法可以参考本站的相关文章,这里就不再赘述),假如引导块也损坏的话,可用热插拔法或用利用编程器进行安全的修复。

The professional content management system, including the papers submitted papers to amend, review papers and user management In the development process, the attention to bring it into conformity with the operation of business processes and systems to the comprehensive, universal, making the system not only applies to an educational institution In the development of methods of choice and chose a life cycle with the prototype of the method of combining law, follow the system research, systems analysis, system design and implementation of four major stages of system design, and in the specific design, to take the evolution of Prototype, with the use and users of the system have deepened the understanding of a certain part or parts of re-analysis, design, implementation In the development of the choice of language, using mainly carried out ASP programming language development, the use of SQL databases, so as to ensure data integrity and consistency This results mainly from system analysis, system design, systems implementation and use of several areas are introduced

本系统管理内容专业,包括论文提交、论文修改、论文审核以及用户管理等等。在开发过程中,注意使其符合操作的业务流程,并力求系统的全面性、通用性,使得本系统不只适用于一家教育机构。在开发方法的选择上,选择了生命周期法与原型法相结合的方法,遵循系统调查研究、系统分析、系统设计和系统实施四个主要阶段进行设计,而在具体的设计上,采取了演化式原型法,随着用户的使用及对系统了解的不断加深,对某一部分或几部分进行重新分析、设计、实施。在开发语言的选择上,主要利用ASP 编程语言进行开发,使用SQL数据库,从而保证了数据的完整性与一致性。

Horizontal sidetracking technology has been developed so as to make full use of these old wells with shorter drilling cycle and less drilling cost by window opening and sidetracking in these wells.

为了充分利用老井眼的价值,采用侧钻水平井技术开采新的气藏取得了较理想的效果:对老井重新选层开发,充分利用了老井上部井段的套管资源,缩短了钻井周期,大幅节省了钻井费用。

In order to determine the bacterial composition of the community,11 isolate strains were detected by plate isolation,while a community reset by the 11 isolate strains lost the capacity of degrading cellulose. The capacity of degrading of the filter paper in double deck plate and monolayer plate were determined,only the filter paper in double deck plate were degraded,that means the main or key microbe are anaerobic.

为系统了解复合系的菌种组成,在有氧条件下,利用传统的平板画线法分离到11株单菌,将11株单菌按体积比1∶1重新组合并不具备分解纤维素的能力,利用单层和双层平板滤纸法检测NSC-7的分解能力,发现只有双层平板上的滤纸变黄且降解,说明复合系内纤维素降解的关键菌是厌氧或微好氧菌。

Based of the mode of this research, assume the percentage of re-counting votes which would change the election results, and evaluate the difference in votes among the candidates. Besides, analyze the results of presidential election in 2004 and the kaohsiung mayor in 2006 carefully.

本文利用所提出的模型,假设重新计票将翻盘之机率,估计出候选人的得票数差距;并且利用2004年总统大选与2006年高雄市长选举的资料,加以分析探讨。

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推荐网络例句

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!

Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。