代数几何

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。

Research on fast algorithm of point inclusion query. From the point of view of computational geometry, winding number is extended from close curve to line segment, polygon, 2-dimensional object, plane subdivision, polyhedra, 3-dimensional object and 3D subdivision.

7，研究点查询的快速算法，从计算几何的角度将环绕系数扩展到一个除闭合曲线外的线段，多边形，二维对象，平面分割，多面体，三维对象，三维空间分割等，进而构造出各种情况下的点查询代数算法。

The generalized criterion for minimum zone in the determination of form error of surface is presented on the basis of linear minimax techniques, and the criteria of such surfaces as for cylindricity and straightness with arbitrary direction are derived from this generalized criterion.

本文讨论形状误差最小区城的判别准则和判别方法。根据线性极差极小化问题解的特征，给出形状误差最小条件的统一判别准则。推导出各种形状误差最小区域判别法(包括圆柱度误差和任意方向直线度误差)，并在几何判别的基础上得出代数判别的格式。

The notion of a triangulated category was first introduced and studied by Grothendieck-Verdier in early sixties of the last century, which marks a new starting point of the development of modern algebras.

由Grothendick-Verdier在上个世纪60年代提出的三角范畴的概念和建立的理论体系，标志着代数学发展的一个新的里程碑，它架设了代数与几何联系的—座桥梁。

Chapter Eight concludes the achievement of this dissertation, and some problems will be answered through more discussions. To sum up, this dissertation argues that Liber Abaci has three kinds of features, i.e., a rich content Mathematic, a variety of mathematics cultural exchange, and the dissemination diversify.

斐波那契注重问题求解，以设计出尽量简单的算法求出解答为目标，利用欧几里得《原本》定理进行几何证明代数方法合理性的过程中，不追求逻辑论证的完美，而是凭藉巧妙的几何图形构造，简化计算过程，从而得到问题的解答。

In chapter 2,some preliminary knowledge about the B-net method,mutivariate splines and geometric continuity is provided.

第二章，简单介绍了一下有关多元代数样条函数的基础知识，以及B-网方法和几何连续性。

Mathematics includes Kindergarten to Geometry, Algebra, and Pre-Calculus.

数学班从幼稚园至高中几何班，代数班，和微积分先修班。

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。