几何化

Geometric active contour is antinoise and fit for the cell image segmentation.

几何化活动轮廓相比传统的边缘检测有较强的抗噪声能力，并且能自动拓扑变形，适用于贴壁细胞图像的分割。

His other contributions include relativistic cosmology, capillary action, critical opalescence, classical problems of statistical mechanics and their application to quantum theory, an explanation of the Brownian movement of molecules, atomic transition probabilities, the quantum theory of a monatomic gas, thermal properties of light with low radiation density (which laid the foundation for the photon theory), a theory of radiation including stimulated emission, the conception of a unified field theory, and the geometrization of physics.

的经典问题和它们的量子理论的应用，解释了布朗分子运动，原子跃进概率，单原子气体的量子论，地辐射密度的光的热性质，包括受激发射的放射理论，统一场论的概念和物力几何化。爱因斯坦写了多于50篇的科学著作，也包括非科学的书。1999年爱因斯坦被时代杂志封为"世纪人物"，一份有卓越成就的物理学家的民意测验封他为无论何时都是最伟大的物理学家。现代文化认为"爱因斯坦"和天才是同一个意思。

The vector has the rich actual background and the widespread application function, it has the algebra and the geometry dual statuses, causes the algebra geometrization, the geometry algebra, has communicated the algebra, the geometry and the trigonometric function, has the good analysis method and the complete structure.

向量具有丰富的实际背景和广泛的应用功能，它具有代数和几何双重身份，使代数几何化、几何代数化，沟通了代数、几何与三角函数，具有良好的分析方法和完整的结构。

Cao and Zhu claimed to have "the first written account of a complete proof of the Poincaré conjecture and the geometrization conjecture of Thurston."

他们宣称完成了"第一个写下来的庞加莱与瑟斯顿几何化猜想的完整证明。"

This fall, the American Mathematical Society attempted to organize an all-star panel on the Poincaré and geometrization conjectures at its January 2007 meeting in New Orleans, Louisiana.

今秋，美国数学会试图在2007年1月召开的路州新奥尔良会议上组织一个关于庞加莱暨几何化猜想的全明星讨论组。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的"产生和湮灭"算符，能方便而精确地表征和重构相关的微观作用机制；"场的本体论"和"生成辩证法"同时得到体现。

Two of the papers--one authored by Bruce Kleiner and John Lott of the University of Michigan, Ann Arbor, the other by John Morgan of Columbia University and Gang Tian of the Massachusetts Institute of Technology in Cambridge--stopped short of the geometrization conjecture, because Perelman's explanation of the final step had been too sketchy.

三篇解释工作中的两篇，一篇出自安娜堡-密歇根大学的Bruce Kleiner与John Lott，另一篇出自哥伦比亚大学的John Morgan和剑桥麻省理工学院的田刚，他们在几何化猜想上还差一点，因为佩雷尔曼的最后一步太简略。

In the latest issue of the Asian Journal of Mathematics, published in the U.S.A, the Chinese mathematician Xi-Ping Zhu (University of Zhongshan, Guangton, China), and Huai-Dong Cao, Pennsylvania,, announced that they had arrived at "a complete proof of the Poincare and Geometrization Conjectures".

在最新一期的《亚洲数学杂志》上，曹怀东和朱熹平宣布他们已经给出"庞加莱猜想和几何化猜想完全的证明"。

We extended the Safety Margin theory, the flight parameters transferred to the singular space through the SVD method. This conception created the Safety Margin Terrain and showed the geometry properties of current flight.

而将飞航安全几何化的观点再做推展，透过奇异值分解的方法，将参数转换至奇异空间，再利用几何方程式，拟合飞航安全裕度於奇异空间中的曲线，求得安全裕度地形，并由此模型计算出每一航班之几何变化，并藉由此方法可求得当下飞航安全裕度的几何特性，表示当飞航安全的状态。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的&产生和湮灭&算符，能方便而精确地表征和重构相关的微观作用机制；&场的本体论&和&生成辩证法&同时得到体现。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐