代数几何

His most famous statement is: Cogito ergo sum (French: Je pense, donc je suis; English: I think, therefore I am; OR I am thinking, therefore I exist).

作为笛卡尔坐标系的发明者，笛卡尔创立了对发现微积分与解析都很关键的解析几何—代数与几何的桥梁。他最著名的论断：我思故我在。

As human epistemology is concerned, there are at least five kinds of natural basic means for human to know about the universe: sensibility (time-space, algebra, geometry and all sensory abilities of human), intellectuality, aesthetic appreciation and aesthetic purposiveness and supreme rationality, which constitute the connection between subject and object. People use these basic ways to recognize themselves and all things in the universe.

关于人类认识论：人类认识宇宙的先天基本方式至少有五种，感性（时空、代数、几何及人类所有的感官能力）、知性、审美、审目的和最高理性等，它们构成了主体与客体之间的联系，人类用这些基本方式来认识自身及宇宙万事万物。

Its theoretic foundation is integration geometry, random theory of set, topology, modern probability, algebra, theory of set, graph theory, and so on.

其最基本的数学理论基础是积分几何和随机集论，同时还涉及到拓扑学、现代概率论、近代代数、集合论、图论等一系列数学分支。

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。

Vector is one of the important and basic concepts in modern mathematics. It is also a tool that links up algebra, geometry, and trigonometric.

向量是现代数学中重要和基本的数学概念之一，它是沟通代数、几何与三角函数的一种工具，有着极其丰富的应用背景。

Arithmetic,algebra,geometry,and trigonometry are branches of mathematics .

算术、代数、几何和三角是数学的分科。

The book review first vector and matrix algebra, the basic concepts and then described in detail geometry involved in a variety of two-dimensional graphics and three-dimensional geometric measurement of the object, the intersection of various algorithms and other issues, and provides information on the theme of a large number of computational geometry materials in order to facilitate quick reference.

全书先复习了向量和矩阵代数的基本概念，而后详细地描述了图形几何学涉及的各种二维和三维对象的几何测量、相交等问题的各种算法，并提供了关于计算几何学主题的大量材料以便于快速参考。

According to the different face representation mode, there are four identifying methods. They are the mode identifying method based on geometry feature vector, the feature vector identifying method based on algebra feature vector, the facial feature extraction method based on NN and design method of sorter.

根据表征方式的不同，人脸识别方法有：基于层次聚类的几何特征矢量模式识别法、基于代数特征矢量的特征矢量识别法、基于神经网络的人脸特征提取和分类器设计法。

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。

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。