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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 representative points of positive case support vectors and negative case support vectors in sample set are defined, the measure and eigenfunction between sample x and y allusiveness from initial space to eigen space under a kernel function k are researched, and a correlative theorem with demonstration is given.

定义了样本集中的正例支持向量和反例支持向量的代表点,研究了原始空间样本x,y在核函数k映射下在特征空间中的x,y映象之间的度量和特征函数并给出了相关的定理及证明。

Objective:To study X-ray diagnosis,classification and differential diagnosis of pulmonary alveolar proteinosis.

目的:探讨肺泡蛋白沉积症的X线诊断、X线分型与鉴别诊断。

The unit cell parameter of polypropylene crystallized with different method and condition was studied:curves of wide angle X-ray diffraction are determined by stepwise scanning method,X ray multi peaks resolution program and simulation program of unit cell parameter developed by the general inverse matrix method are used as data processing of determined results.

研究了不同方式和条件下形成的等规聚丙烯结晶的晶胞参数,用步进扫描测定试样的宽角X-射线衍射,用广义逆矩阵法编的计算机分峰程序和晶胞参数拟合计算程序对测定结果进行计算和数据处理。

The MGPXRC can be used to measure the focal spot size of X-ray source with a larger emitting angle than the critical angle of the total reflection of X-rays.

分别利用多毛细管准直器法和常用的小孔成像法测量了同一微焦斑X射线光源的焦斑直径,测量结果分别为60.8和59.4 μm。

Methods Collect 20 cases history of anklebone fracture scaned by X?ray,normal CT scan and quasi coronary CT scan.n,compare the result of exam result.Estimate the application of quasi coronary scan in anklebone fracture in X?

收集踝关节骨折病例20例,均行X线、CT常规横轴位扫描及准冠状位扫描检查,比较三者的检查结果,评价CT准冠状位扫描技术在踝关节骨折检查中的作用。

The platform of diffraction data collection and analysis for protein crystalAccording to the characteristics of Hefei Light Source,based on the XRDS Station in NSRL at USTC,the experiment platform was set up for measuring sulfur anomalous scattering signal with long-wavelength X-ray.

蛋白质晶体衍射数据采集及数据分析的平台根据合肥光源的特点,依托中国科学技术大学国家同步辐射实验室X射线衍射与散射实验站,搭建了适于测量硫元素反常散射信号的长波长X射线衍射实验平台。

Yet, with the recent advent of the Ansari X Prize (formerly known as the X-Prize), the solar system got a lot more interesting with the possibility of affordable suborbital voyages for the rest of us.

然而,随着最近13.96%的安萨里X奖,太阳系有很多更有趣的可能性得起suborbital航行其余的人。

Then threekind of hard X-ray space telescopes, namely the collimator, the rotating col-limator and coded aperture mask telescopes, are introduced. Finally the softX-ray imaging telescope is introduced.

然后分别介绍了三种类型的硬X射线空间望远镜,包括准直型、旋转调制型和编码孔径型望远镜,最后简略介绍掠入射型软X射线成像望远镜。

In Section 1, without assuming operators to be continuous and cones to be normal, we use the Monchs compactness condition to study the existence and iterative approximation theorem of solutions and coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations x = Ax, x under more extensive and weaker conditions than those used in [18] in ordered Banach spaces.

践一节中,利用M加ch的紧性条件,在比文献[18]更广泛的较弱的条件下,在不假潞子连续和拄酬的前提下,研究了Ball''crl空间中一描F线腑子方程X—川巳F)的解和最小最大耦合解的存在与迭代跳定理,并应用到Ban呐空间中非线性VOlterra型积分方程和常徽分方程的初值问题。

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相关中文对照歌词
X-T-C
Greta-X
X-mas Time (Blows My Mind)
W-X-I'll Tell U-Y
Simple X
5 x 5
X X 3
Run Dry (X Heart X Fingers)
Século X.X.
S-E-X-X-Y
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For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降,而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新

Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。