查询词典 singularities

Working with mathematician Roger Penrose and using Einstein's relativity equations, he developed new techniques to prove mathematically that at the heart of black/holes were singularities-infinitely dense, dimensionless points with irresistible gravity.

他同数学家罗杰。

Through researching the extra singularities of decomposed Jacobian matrix, an approach resulted from adjusting velocity homogeneous item in real-time is proposed to effectively take account of the contradiction between stability and end state self-motion. Thus, some modified dynamic optimal schemes are deduced.

通过研究Jacobian矩阵分解的算法奇异性，提出实时调节速度齐次项的方案，可有效兼顾稳定性和终态自运动的双向矛盾要求，并推导了若干改进的动力学优化方案。

In this article, a class of semilinear parabolic problems with singularities was considered.

首先，将原方程线性化，并证明了其相应变分问题广义解的存在唯一性。

This discretion of conduct had inured to his credit. None the less, he had set two men to chattering: the porter, in the convent, and he knew the singularities of their parlor, and the grave-digger, at the cemetery, and he was acquainted with the peculiarities of their sepulture; in this way, he possessed a double light on the subject of these nuns, one as to their life, the other as to their death.

这种谨慎的作风是为人重视的，他却并不因此而不去找人聊天，他常找的两个人，在修院里，是门房，他因而知道会客室里的一些特别情形；在坟场里，是埋葬工人，因而他知道墓地里的一些独特之处，正好象他有两盏灯在替他照着那些修女们，一盏照着生的一面，一盏照着死的一面。

In chapter 2, we consider the direct method of solution for singular integral equations with solutions having singularities of order one.

第二章讨论了具有一阶奇异性解的完全奇异积分方程的直接解法，这是本文的关键所在。

In this paper, we study the direct method of solution for a class of singular integral equations with solutions having singularities of order one.

本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法。

1It is the first time to study the direct method of solution for singular integral equations with solutions having singularities of order one. The necessary and sufficient condition for the solvability and the close form of the solution are obtained.

本文主要在以下几个方面有所创新：第一，首次研究了具有一阶奇异性解的完全奇异积分方程的直接求解，并得到其可解的充要条件和解的封闭形式。

In this project, the singularities of a 6-DOF PUMA manipulator and a 5-DOF GRYPHON manipulator are analyzed in detail and all the corresponding singular directions in task space are clearly identified.

於本计画中，六自由度PUMA机械臂及五自由度GRYPHON机械臂的所有奇异点都被分析出来，且在工作空间上的所有奇异方向亦被全部指认出来。

The tools used to the study of bifurcation problems come mainly from related techniques in the theory of singularities of smooth map germs.

对分歧问题进行研究所使用的工具主要来自光滑映射芽的奇点理论中的相关技巧，研究内容包括以下几个方面：第一。

The motion, creation and annihilation of phase singularities occur in the focal region, which depends on the truncation parameter,the spherical aberration and the half angle of the aperture lens.

在焦区位相奇点会出现移动、产生和湮灭，并与截断参数、球差和光阑透镜半角有关。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。