代数几何的

In this paper, multivariate Lagrange interpolation problems are systemically discussed,and through amending Cramer Strange Proposition and proving interpolation theory, the geometry construction of the properly posed sets of nodes along the plane algebraic curve is studied, at the same time, a number of practical constructing methods are given.

本文系统阐述了多元Lagrange插值问题，通过修正Cramer奇论并用插值法加以证明，进一步对沿平面代数曲线插值唯一可解点组的几何结构进行深入的研究，同时得到了一些实用性较强的构造方法。

The findings show how the students understanding the concept of complex number and other related concepts:(1) The concepts of complex number is understood from the perspective of algebraic expression;(2) The concepts of complex number is understood from the perspective of geometry;(3) The concepts of complex number is understood comprehensively.

结果显示，学生对复数及其一些概念的理解呈现三个侧面：（1）代数式子意义上理解的复数；（2）几何意义上理解的复数；（3）整体意义上理解的复数。

It obtains that the transport operator A has no complex eigenvalue s,and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas.

本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱，得出了该算子A在带域Pas中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

We have researched the decentralized stabilization problem of nonlinear large scale composite systems by differential geometric and analytical method, it is shown that the results are better than that one obtained by using only one of these two methods.

本文分别采用代数方法与分析方法、微分几何方法和分析方法相结合的方式讨论了比较广泛的非线性组合大系统的分散反馈镇定问题。

Mastery: The Laplace Transform, The Region of Convergence for Laplace Transforms, The Inverse Laplace Transform, Properties of the Laplace Transform, Some Laplace Transform Pairs; Analysis and Characterization of LTI Systems Using the Laplace Transform, System Function Algebra and Block Diagram Representations;Roth Criterion;Mason Equation of the Signal Flow Graphs.

基本要求：掌握拉普拉斯变换定义，拉普拉斯变换收敛域，拉普拉斯反变换，拉普拉斯变换性质，用拉普拉斯变换分析和表征线性时不变系统，系统函数的代数属性与方框图表示，罗斯判别，信号流图的梅森公式；熟悉常用拉普拉斯变换对，单边拉普拉斯变换；了解由零极点图对傅立叶变换进行几何求值。

This paper proved that this algebraic feature has some important properties of algebraic and geometric invariance.

该文证明了这样抽取的代数特征具有一些重要的代数和几何不变性。

Some important properties of singular value vector of color face image were proved, and then it was extracted as algebraic feature and applied to color face recognition.

首先证明了彩色图像的奇异值向量具有代数和几何不变性；然后将其提取为图像的代数特征并应用到人脸识别中。

In order to improve the efficiency of grid generation, a two-boundary algebraic method based on transfinite interpolation was developed to generate two-dimensional grid system within geometrically complex two-dimensional plane domain rapidly.

为提高网格生成效率，提出了一种基于超限插值的双边界代数网格生成方法，可快速生成边界正交的贴体网格，引入几何一致性条件保证物理区域不变形，同时发展一系列拉伸方程控制网格分布。

Hindu and Arab venturesomeness brought arithmetic and algebra to the fore once again and placed it almost on a par with geometry .

印度人和阿拉伯人的闯劲把算术和代数又一次提高到几乎和几何并驾齐驱的地位。

Hindu and Arab venturesomeness brought arithmetic and algebra to the fore once again and placed it almost on a par with geomety.

印度人和阿拉伯人的闯劲把算术和代数又一次提高到几乎和几何并驾齐驱的地位。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。