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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。

We also conduct paleoclimatic reconstruction based on the leaf physiognomy of angiosperm fossils with the methodology of univariate and multivariate statistics.

利用大量的被子植物叶片化石，基于叶相特征进行了单变量和多变量的古气候重建。

In this paper, univariate or/and bivariate binormal model was established and its parametrers was estimated by the"method of scoring". To calculate the statistical significance of the difference between two ROC curves using any one of three distinct statistical tests: the bivariate Chi-square test, the area z-score test, and the TPR z-score test.

本文探讨了单变量、双变量双正态ROC模型的构建及其参数的最大似然估计方法；采用双变量卡方检验、真阳性率z检验、面积z检验三种方法比较了ROC曲线间是否具有显著性差异。

Conventionally, a negative dependence structure is not allowed in bivariate poisson models, and it restricts the univariate marginal distributions has to be the same family as the bivariate joint distribution, On the contrary, copulas allow negative dependence structure and marginal distributions and bivariate distributions of different families .

相较之下Copula允许有负相关，且Copula是一个能将双变量的联合分配函数与各自的边际分配连接在一起的函数。

Methods Potential related risk factors of ROP, such as age, sex, birth weight, FiO 2, duration of inspiring ox ygen, hyaline membrane dzsease, Apgar score, intracranial hemorrhage , recurrent apnea, broncho pulmonary dysplasia, patent ductus arteriosus were studied prospectively by univariate analysis and Logistic regression a nalysis in 135 preterm infants.

方法以 13 5例早产儿患儿为研究对象，对胎龄、性别、出生体重、吸氧时间、吸氧浓度、肺透明膜病、Apgar评分、颅内出血、支气管肺发育不良、反复呼吸暂停、动脉导管开放、眼底等进行检查。同时用单因素χ2 检验和多因素logistic回归分析筛选和判定早产儿ROP发生的危险因素。

In this thesis, we study Cauchy rational interpolation problem on the set of distinct nodes by algebraic method and give some algorithms in univariate and multivariate cases.

我们推广了有理插值问题解的概念，给出了扩展弱解，弱解和解的定义，并且说明在给定一个代数结构后扩展弱解集构成一个线性空间。

S stage and ceroplastic interstinal obstruction influenced the prognosis by univariate analysis.

结果 结直肠癌患者总的3年、5年生存率分别为52.8%和50.4%，中位生存时间为1807天。

The factors of gross findings,degree of differentiation,Dukes stage and ceroplastic interstinal obstruction influenced the prognosis by univariate analysis.

单因素分析显示，其预后与肿瘤的大体分型、侵袭程度、转移情况、等级分化、病理分期以及癌性肠梗阻均有相关性。

The factors of gross findings,degree of differentiation,Duke?s stage and ceroplastic interstinal obstruction influenced the prognosis by univariate analysis.

单因素分析显示，其预后与肿瘤的大体分型、侵袭程度、转移情况、等级分化、病理分期以及癌性肠梗阻均有相关性。

This would not necessarily improve upon the univariate, traditional analysis described earlier.

这would不必要地改善在univariate，传统的分析描写早的。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。