查询词典 atiyah singer index theorem

The separating axis theorem is simplified to accelerate the OBB trees continuous overlap.

通过对分离轴定理的简化，加快了OBB包围体树的连续求交测试。

In this paper, the author queried a few conclusions in [1] , and elaborated different views on several problems, such as relations between non-Euclidean geometry and real space, relations between mathematical logic and thinking, the significance of Godel s second incompleteness theorem, and so on.

本文对文〔1〕的几个论断提出一些疑问，并在&非欧几何与现实空间&、&数理逻辑与思维&、&哥德尔不完备性定理的意义&等若干问题上表述了与《数学是什么》一文中不同的观点。

As a consequence of an important theorem of algebraic topology, the invariants constructed by those diversity ways can be considered as identified via their unique isomorphisms. This concludes that the procedure of invariant construction gains a virtue of the model presented in this paper as being unrelated to whether there exists a symbolic represantation of images.

根据代数拓扑的重要定理，这些不同的构造方法所得的不变量在同构意义下是等价的，因此我们推论这种不变量的构造过程与图象是否有符号表示无关。

By Ricceri's three critical points theorem, the existence of solutions for a class of quasilinear elliptic systems with variational structure was proved and the location of the solutions was also determined.

通过运用Ricceri的一个三临界点定理，讨论了一类具变分结构的拟线性椭圆方程组，获得了多解的存在性，并且给出了解的位置。

The model of relative motion of formation flight was established in the path coordinate frame, the concept of miss distance which is combined to obtain the control law of the wingman with the Lyapunov stability theorem.

建立了以航迹坐标系为参考坐标系的长机与僚机的相对运动模型，根据僚机距离长机最优位置的误差，利用李亚普诺夫稳定性理论设计队形构成中僚机的控制律。

Resorting to the Roberts-Chebyshev theorem,we replace the two cranks of a crank-rocker cognate mechanism with a double bar,which is required to satisfy certain geometrical and motion conditions,and we change the mechanism thus reformed into a geared five-bar mechanism so that one of its links can fully rotate with the link connected with it.

借助于Roberts-Chebyshev定理，将曲柄摇杆轨迹同源机构的两曲柄分别用一双杆组代替，并要求双杆组满足一定的几何尺寸条件和运动条件，使变形后的机构为齿轮五杆机构，且满足机构的一个连架杆以及与其相连的连杆能够整周转动。

An ultrashort pulsed-laser beam is composed of a series of monochromatic continuous waves. According to Parseval theorem, the time-averaged intensity can be calculated by the sum of the intensity of these monochromatic continuous waves. Then we derive an equation to study Talbot effect of a grating illuminated by an ultrashort pulsed-laser beam.

我们采用了频谱分析法，即把超短脉冲光波看成是由一系列的单色光波组成，根据Parseval定理，光栅Fresnel衍射的平均光强由一系列的单色光波的衍射光强之和而求得，这样我们给出了一种分析光栅在超短脉冲光波照射下泰伯效应特性的方法。

In this dissertation, we investigate the theory of fuzzy number space and the space of fuzzy-valued continuous functions, the main works of this dissertation are as following: 1. We use some properties of fuzzy numbers to give a generalization of Bolzano theorem in classical analysis to fuzzy number space (E1, d∞).

本文研究了模糊数空间和模糊数值连续函数空间的有关理论，主要内容如下： 1 利用模糊数的相关性质，给出了经典泛函分析中 Bolzano 定理在模糊数空间(E1， d∞)中的推广。

Week 10 Cycle process, Carnot cycle. Second law of thermodynamics, Carnot theorem.

第10周循环过程、卡诺循环；热力学第二定律、卡诺定理。

Week 8 Application of first law of thermodynamics in course of equal value of ideal gas, cycle process, Carnot cycle, second law of thermodynamics, Carnot theorem.

第8周 热力学第一定律对理想气体等值过程的应用；循环过程、卡诺循环。热力学第二定律、卡诺定理。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48