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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。
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Any person so appointed shall have all the rights and powers of the Director or Directors for whom such person is appointed in the alternative provided that such person shall not be counted more than once in determining whether or not a quorum is present and also provided that such alternate Director votes on any matter to be determined by the Board in accordance with the written yes-or-no -instructions of his appointer.
被指定的任何人士将拥有该董事的所有权利权力,被指定为代理董事的董事,只要该人士不被计算在所有董事之外,不论是否现存的法定人数,只要该代理董事在须由董事会决定的事项中行使选举权,依据指定该代理董事的董事书面的是或不是的指示。
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This part focus on morbid population of Lin Xiang Kingdom where is characterized by waterways net, high temperature and aquosity in Sun-Wu period. The research based on the latest excavated Changsha Zou Ma Lou Wu Jian(the Bambooslips Digging from Zoumalou, Zou Ma Lou Wood/Bamboo Scripts of Wu Kingdom at Changsha City today). The maladies appeared under such condition had a close connection with lepra, schistosomiasis which were also produced under such peculiar geographical environment. At the same time, the short of iodine element was part of the cause of some maladies, such as deafness, blindness and so on.
三地理环境与孙吴时期临湘侯国的疾病人口问题:拙文是以新近出土的长沙走马楼吴简所提供的史料为基础、以孙吴时期地处河网交叉、高温高湿环境下的临湘侯国的疾病人口问题为研究对象的;拙文认为:孙吴时期临湘侯国在高温高湿条件下所出现的疾病类型,与特殊地理环境中所出现的血吸虫病、麻风病有着密切的关系;同时,由于环境中碘元素的缺乏,也造成了聋耳、盲目等疾病的发生。
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The countries of the Union shall not be required to apply the said provisions when the use or registration referred to in subparagraph, above, is not of such a nature as to suggest to the public that a connection exists between the organization concerned and the armorial bearings, flags, emblems, abbreviations, and names, or if such use or registration is probably not of such a nature as to mislead the public as to the existence of a connection between the user and the organization.
当上述第(1)项所指的商标使用和注册不会使公众理解为该有关组织与这种纹章、旗帜、标志、缩写和名称有联系时,或者如果这种使用和注册不会使公众误解为使用人与该组织有联系时,即不应要求本同盟成员国适用该项规定。
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Such object includes compulsory investigation measures to restrict personal freedom such as arrestment, detention and custody, and measures to save evidence from damage such as search and attachment.
司法审查的对象包括了限制人身自由的强制性侦查措施,包括逮捕、拘留、审前羁押等,以及为保全证据而采取的强制性侦查措施,包括搜查、扣押等。
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With completed range of modernized automatic equipment such as PLC auto quilt productions line, computer-control stitching machine and large-scale cutters, it is specialized in producing series bedroom ware such as bedcover, its auxiliaries, quilt, sofa cover, window curtain, cushion for leaning on, altogether over 200 categories of 5 series, 80% of them are sold to over 20 countries and zones such as in Europe, the US, Middle East, and etc.
专业生产系列寝室用品,拥有PLC自动制被生产线和电脑绗缝机、大型裁剪机等现代化、自动化生产设备。主要产品有床罩配件套、被子、沙发套、窗帘、工艺靠垫等五大系列200多个品种,80%的产品远销欧美、中东等20多个国家和地区,是县重点骨干企业和重点出口创汇企业。
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The following income of Enterprises shall be tax-exempted income(1) income from interests on government bonds;(2) income from equity investment income such as dividend and bonus between qualified resident enterprises;(3) income from equity investment such as dividend and bonus obtained from resident enterprises by non-resident enterprises that have set up institutions or establishments in China with an actual relationship with such institutions or establishments;(4) income of qualified non-profit organizations.
企业的下列收入为免税收入:(1)国债利息收入;(2)符合条件的居民企业之间的股息、红利等权益性投资收益;(3)在中国境内设立机构、场所的非居民企业从居民企业取得与该机构、场所有实际联系的股息、红利等权益性投资收益;(4)符合条件的非营利组织的收入。
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Clinical thermometer that use generally to have glass outer cover such as mercurial thermometer ,etc. or by liquid form mainly, although this kind of clinical thermometer has characteristic such as being steady , ocular and strong of performance , it is easy and broken, can only be in the observing , such shortcomings as reading is slow of scene, and if the mercurial thermometer is apt to cause the environmental pollution.
一般用的体温计主要是以液态形式或是带有玻璃外壳如水银温度计等,这类体温计虽说具有性能稳定、直观性强等特点,但是也具有容易破碎、只能在现场观察、读数慢等缺点,而且如水银温度计容易造成环境污染。
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Reflecting on that achievement involves first of all acknowledging that we do think and experience things in those ways. Those are the 'premisses' from which transcendental reflection on the necessary conditions of our thinking in those ways begins. Accepting such premisses means ascribing those thoughts and experiences to human beings. We can then reflect in a broadly Kantian spirit on the conditions of our making such ascriptions—on what must be so, how we must be able to think, and what we must be able to do, in order to think of anyone as possessing such thoughts and experiences.
从那些对我们的思进行先验反思来说是前设的东西开始,接受这些前设意味着把那些思或经验&归&给人,我们因此能在更宽的意义上反思导致这些&归&——是什么使得必须如此,我们如何必须能够思,我们必须能做的是什么——的条件,从而为了考察任何拥有这样的思或经验的人的情况。
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Philip VI of France expressly claimed the right 'to mint such money and give it such currency and at such rate as we desire and seems good to us' and all medieval rulers thought and did as he in this matter.
法国的菲利普六世曾公开地宣布拥有&如我们所愿,铸造货币、让它成为通货、规定利率&的权利,而且,所有中世纪的统治者对此事,态度和行为都跟菲利普六世如出一辙。
- 相关中文对照歌词
- (Now And Then There's) A Fool Such As I
- (Now And Then There's) A Fool Such As I
- (Now And Then There's) A Fool Such As I
- Now And Then There's A Fool Such As I
- (Now And Then There's) A Fool Such As I
- 推荐网络例句
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It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.
从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。
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The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.
集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品,年生产总值3000万美元,产品价廉物美、选料上乘、质量保证,深受国内外客户的青睐
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The eˉtiology of hemospermia is complicate,but almost of hemospermia are benign.
血精的原因很,以良性病变为主。