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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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See also Nozaki et al.,"A 1-Mb EEPROM with MONOS Memory Cell for Semiconductor Disk Application," IEEE Journal of Solid-State Circuits, Vol. 26, No. 4, April 1991, pp. 497-501, which describes a similar element in a split-gate configuration where a doped polysilicon gate extends over a portion of the memory element channel to form a separate select transistor.
还参见Nozaki等人的&A1-Mb EEPROM with MONOS Memory Cell for Semiconductor Disk Application&(IEEE Journal of Solid-State Circuits,第26卷,第4期,1991年4月,497-501页),其描述了处于分裂栅极配置中的类似元件,其中掺杂的多晶硅栅极在存储器元件沟道的一部分上延伸以形成单独的选择晶体管。
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In this project, we analyzed three mutants and explored the molecular mechanism of digit formation.
在本课题中,我们分析了造成A1型短指症的三个突变体,并探索了指形成的信号调控机制。
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The results of XEDS suggested that U and Ba were enriched on the surface; at the same time, Ca and Ti had a little depleted on the surface of pyrochlore-rich synroc; the results of XRD and SEM indicated that Fe〓O〓 can increase the corrosion of glass and pyrochlore-rich synroc; The results of glass mass loss rate showed that bentonite had the most corrosive to the glass specimens among barrier media; the results of XEDS indicated that Ca、Fe and A1 element were enriched on the glass surfaces, Si and Mg had slightly depleted, and Na was completely depleted.
玻璃固化体样品分析结果显示,膨润土体系有增加玻璃腐蚀的倾向。X-射线能谱分析表明,在玻璃样品表面Ca、Fe和Al元素呈富集,Si和Mg元素略有浸出,Na元素基本完全浸出,这同其他浸出实验结果一致。
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Fire detection and fire alarm systems - Part 3 : fire alarm devices - Sounders.
NF S61-983/A1-2002 火灾探测和火灾警报系统。第3部分:火灾警报系统。
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D p* a1 R*?. Y1 C to one who is so heavily sabled that from a distance he almost appears black.
G6 |这张图片是一只PWC冠军公犬,它有明显的貂色和白色。
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Among the proteins coded by the genes of BCL2 family,BCL2,BCL-XL,MCL-1,CED-9,BAG-1,E1B-194 and A1 act as death repressors, whereas BAX, BAk, BCL-Xs and BAD promote cell death.
凋亡调控基因BCL2家族成员可分为凋亡阻遏基因和凋亡促进基因。
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A1: Lady, the PC term is petroleum chemical engineer, thank you.
站员甲:小姐,请用不歧视的措词:石化工程师,谢谢。
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If you do not know how to become free of pimples, wheat germs will effectively help you. The only thing you should do to eat two or three tables poons of what germs per day.
A A1 i8 Y5 _0 o3 n z 如果你不知道如何摆脱粉刺的困扰,小麦胚芽就是你的好帮手,你要做的只是每天吃上两三匙分量的小麦胚芽。
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The method for determining a phase-noise spectrum comprises generating real complex samples, by digitally sampling a phase component and phase quadrature component of the input signal in baseband, determining ideal complex samples from generated real samples, establishing complex quotients from the real and ideal complex samples, generating modified complex quotients by assigning the value 1 to the complex quotients, and subjecting the modified complex quotients to a Fourier transform.
所述方法包括以下步骤:通过对基带中的所述输入信号的相位分量和相位正交分量进行数字采样,产生实际复数采样Areal(n(S100);根据产生的实际采样Areal(n确定理想复数采样Aideal(n(S101);根据实际复数采样Areal(n和理想复数采样Aideal(n形成复数商ΔA1(n=Areal/Aideal;通过对所述复数商指定值1,产生经修正复数商B(n(S106);以及对经修正复数商B(n进行傅立叶变换(S107)。
- 相关中文对照歌词
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- 推荐网络例句
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The split between the two groups can hardly be papered over.
这两个团体间的分歧难以掩饰。
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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。
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The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.
聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力