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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。

X-ray real time image system was used to detect I style laser weldments nondestructively, and X-ray detection images were obtained.

采用X射线实时成像系统对工字形激光焊件进行检测，得到了含有微小缺陷的低对比度射线检测图像。

I tried the flutes,guitars,sax,piano, even that much acclaimed piano called "The grand X" and I have to say they were crap compared to the tyros I tried out last week.

我试了一下笛子，吉他，萨克斯，钢琴，哦——还是那&饱受赞誉的&大钢琴&X&（笔者注：Grand X），我得说跟Tyros比起来它简直就是废物一堆，这是我在上周刚刚试过比较过的。

The results showed that 4 Gy X-ray induced cancer cell arrest in G2 phase, and STP abrogated G2 arrest caused by X-ray in a dose-dependent manner.

结果表明4GyX-射线显著诱导细胞阻滞于G2期，STP能清除X-射线引起的G2期阻滞，其作用呈剂量依赖性。0.1μM STP，在MCF-7/ADR细胞中，G2/M期的比率由照射的56％降低到27.4％；在HT-29细胞中，G2/M期的比率由照射的57.3％降低到27.5％。

Both TEM photograph and X-ray diffraction indicate that its size is of the ordedr 70〓.

用加热固态Cd〓方法，制备了凝聚相CdSe粒子，X-射线衍射表明它是立方晶体。X-射线衍射计算和TEM分析都说明它们的大小为7nm。

on the one hand the cr x-ray photograph bedside on the other hand the traditional x-ray photograph bedside, was improving the image quality, the photograph success ratio with and reduces patient and medical care personnel's aspect and so on radiation dose has made the signify cant contribution.

cr床边照片较传统床边x线照片相比，在提高影像质量、照片成功率与及降低病人和医护人员的辐射剂量等方面作出了重大贡献。

Methods A study of several eases of pelvic injury was done, in which biomechanics and classification of pelvic injury were analyzed, moreover imaging methods were compared with each other, such as fluoroscopy, X-ray photography, computerized tomography and so on.

研究数例法医学鉴定中骨盆损伤的案例，结合骨盆环的生物力学和骨盆损伤分型，并对X线透视、X线摄片检查、CT等检查方法进行比较。

Since the discovery of X-rays and the invention of X-ray photography by the German physicist Wilhelm Konrad Roentgen, the medical diagnosis by medical images has been developed for over one hundred years.

X射线自发现以来，被广泛应用于医学诊断和治疗，由此发展出来的医学影像处理学在医疗诊断中得到了广泛的应用，使得医生可以通过影像图片观察病变区域。

The composition,structure and optical band gap of the films were characterized by energy dispersive spectrometer and X-ray diffraction.

通过X射线能谱、X射线衍射仪的测定，对薄膜进行了结构及所包含硅晶粒大小的表征。

Scanning electron microscopy , X-ray energy dispersive spectrometer, X-ray photoelectron spectroscopy and infrared spectroscopy were used to investigate the structure and composition of the coating.

通过扫描电镜、能谱仪、X射线光电子能谱、红外光谱分析膜层的结构、微观形貌和化学成分。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。