查询词典 singularities

With the dumbbell singularities he showed that" surgery" could be performed: Snip the thin tube on each side of the incipient pinch and seal off the open tube on each dumbbell ball with a spherical cap.

对于哑铃的奇异点而言，他证明可以施展一项「术」把紧束点两边的细管子剪断，然后在每个哑铃细管子的开口上盖一顶小圆帽。

We address the singularities and spectral changes of Gaussian beam focused by lens with spherical aberration.

讨论多色高斯光束经过球差透镜后的奇点和光谱变化。

Using the theory, we deal with some solutions about the gravitational field surrounding a static spherically symmetric mass and that surrounding a rotating mass, and the results show that some real physical singularities in their black holes can be eliminated.

理论分析表明，该理论可以消除引力场中的物理奇点，并能用标准量子场论方法使引力场量子化。

We pointed out the main distinctions between strong singularity problems in topology optimization and those which only have weak singularities.

详细论述了此类拓扑优化问题与仅具有弱奇异性的拓扑优化问题之间的本质区别。

By means of singularities theory the transition variety and bifurcation diagram of the bifurcation equation of the system is accuired.

按照奇异性理论方法对分岔方程进行了分析，得到了分岔方程的转迁集和分岔图。

We shall explore the theory and computational methods of the singularities of rational planar curves and rational space curves fromμ-bases.

本文中我们将首先讨论基于μ基的平面有理曲线与空间有理曲线奇点的理论及计算。特别地。对平面有理曲线。

According to the theory of wavelet transformation, the singularities of the ECG signal are corresponding to the series of maximum-minimum pairs. The algorithm detects the onsets of Q wave at the scale 3 detail and offsets of T wave at the scale 4 detail. So the duration of QT is calculated by onset of Q wave and offset of T wave.

根据小波变换的原理，心电中的奇异点在变换后将产生一个模极大值和模极小值对，在小波变换3尺度上检测出QRS波群的起点，在小波变换4尺度上检测出T波终点，从而确定QT间期。

Through the hypersingular integral equations of 3-d crack perpendicular to the interface given in the preceding, the principles of finite-part integrals and of limit are further made use of to pick the hypersingular integral equations of 3-d crack terminating at the interface On the basis of the equations, starting strictly from 3-d theory of elasticity, stress singularities of intersection-line near the front edge of the 3-d crack terminating at the interface are analyzed by virtue of dominant-part analysis of 2-d hypersingular integrals.

根据前面所得到的与界面垂直的单片裂纹超奇异积分方程，进一步运用有限部积分原理和极限理论，推导出了与界面垂直相抵的三维平片裂纹的超奇异积分方程。在此基础上，严格从三维理论出发，使用二维超奇异积分的主部分析方法，对与界面垂直相抵的三维平片裂纹前沿交线上的应力奇性指数进行了分析。

This paper discusses singularities, inflection points and convexity of FB-spline curves in terms of their control polygons, and gives the necessary and sufficient conditions for testing when FB-spline curves have one or two inflection points, or a cusp, or a loop, or none of the above points by the envelope theory and the topological mapping method.

文章利用包络理论和拓扑映射的方法，讨论了FB-样条曲线的奇拐点和曲线性质，并给出了依据控制多边形判断FB-样条曲线出现1个或2个拐点、1个尖点、1个二重点以及处处为凸的充分必要条件；最后给出了FB-样条曲线的奇点、拐点以及二重点在λ-μ平面上的分布图。

As a corollary, we solve a conjecture of Liao, i.e., the following four conditions are all equivalent: 1 the system is structurally stable, 2 the system is in the interior of the set of Kupka-Smale systems, 3 the obstruction set and the interior of singularities of the system are empty, 4 the system satisfies Axiom A and the strong transversality condition.

作为一个推论，这解决了廖山涛先生的一个猜测，即下述四个条件等价：1 系统为结构稳定的，2系统及其附近的系统皆为Kupka-Smale系统，3系统的阻碍集为空集，4 系统为公理A且满足横截性条件。3→4，4→1，1→4已经分别由廖山涛， Smale、 Anosov、 Robbin、 Robinson以及Robinson完成。

There had been a moment during the breakfast meeting, though, after the backslapping and the small talk and when all of us were seated, with Vice President Cheney eating his eggs Benedict impassively and Karl Rove at the far end of the table discreetly checking his BlackBerry, that I witnessed a different side of the man.

那次早餐会期间，在表示过关心和寒暄以后，我们所有人坐了下来，我注意观察了一下，副总统切尼面无表情地吃着班尼迪克蛋（Eggs benedict，源自美国，以英式松饼、火腿、水煮蛋以及荷兰酱组合而成），卡尔。罗夫在餐桌的远端谨慎地经常查看他的黑莓手机，我目睹了他所不为人知的一面。

Talk Undelete failed; someone else may have undeleted the page first.

Talk 无法删除选定的页面或图像（它可能已经被其他人删除了）。