Score another point in the "con" column for naked singularities. We eagerly await the next volley in this fascinating scientific debate.
否定裸奇点存在的人又得了一分。我们十分迫切地期待这场引人入胜的科学大讨论中的下一幕大戏。
Dr Perelman overcame this difficulty by cutting off the singularities, continuing with the Ricci-flow application and then rejoining the transformed objects later.
佩雷尔曼博士克服这一困难，他切断了奇点，继续运用瑞奇流并重新接合已变形的物体。
Hawking was forced to backpedal a bit on his stance in 1997, after new calculations revealed a limited set of conditions that could give rise to naked singularities.
随后一些最新的计算结果显示，一系列特定的条件可能催生出裸奇点。
In Einstein's general relativity (GR), the insides of black holes are "singularities" - regions where the density of matter reaches infinity.
根据爱因斯坦广义相对论(GR)，黑洞的内部是“奇点”——物质无限致密的区域。
The interference of several optical vortices can generate intriguing intensity and phase distributions due to the particular helical phase structures and central singularities.
光学涡旋具有独特的相位奇点和螺旋相位结构，多个涡旋光场之间的干涉呈现出新颖的强度和相位分布特征。
The singularities of the integral can be also removed.
积分中的奇性也予以去除。
Such singularities must be treated with special computations.
奇异点必须用特殊的计算处理。
These results show that the nonlinear eigenvectors may cause singularities.
这一结果说明非线性特征向量也可能引发奇性。
First, the classification of singularities of parallel mechanisms is studied.
本论文将首先研究并联机构奇异位形的分类问题。
The Fourier transform is a classical method for analyzing signal singularities.
傅立叶变换是分析信号奇异性的传统方法。
Hence it may be concluded that the electric loads have no influence on the field singularities.
因此可得结论：电载荷对场的奇异性无影响。
The method is based on the second-order or third-order geometric panel and vortex singularities.
面元和奇点的分布分别采用了二阶和三阶的形式。
What particularly interested Stephen was singularities, strange beasts predicted by general relativity.
使斯蒂芬特别感兴趣的是奇点。这是广义相对论所预言的一种怪物。
But complex calculations by Ashtekar's team show that singularities are not allowed by quantum gravity.
但阿贝·阿西提卡团队的进一步计算表明量子引力不允许奇点的存在。
Scientists years ago found compelling evidence that black holes exist, but they were uncomfortable with singularities.
多年前，科学家发现了黑洞存在的令人信服的证据。但是他们对奇点感到不自在。
In many cases important information is carried by singularities that are not necessarily associated to a certain amplitude pattern.
在许多情况下，重要的地质信息可能是通过与振幅特征无关的奇异性参数来传递的。
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。
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。
The singularities of ground Penetrating Radar (GPR) echo wave signals can show the characters of objects or the layer structures under the ground sufficiently.
雷达回波信号奇异点携带了大量地下目标物的信息，是借以分析地下物质结构的重要依据。
His equations suggest such wormholes are viable alternatives to the "space-time singularities" that Albert Einstein predicted to be at the centers of black holes.
他的公式显示，这些虫洞可能即是爱因斯坦预测在黑洞中心存在的“时空奇点”。
This method (300) can provide software-based compensation for a wide range of machine configurations, without apriori knowledge of singularities for a given machine.
该方法（300）可以为广泛的机床配置提供基于软件的补偿，而不需要知道给定机床奇异性的先验知识。
There are abundant and complicated singularities in parallel mechanisms, which have great effects on the accuracy, stiffness and motion ability of parallel mechanisms.
丰富而复杂的奇异位形是并联机构的一个重要特点，位形空间中的奇异位形对并联机构的精度、刚度以及运动性能有着重要的影响。
The singularities of signals and noises are investigated. A conclusion is drawn that the wavelet modulus maxima of signals have contrary behaviors from that of noises.
通过对信号与噪声奇异性的分析，得出信号与噪声的小波变换模极大值在各个尺度上的表现截然相反的结论。
It is difficult to confirm the position and distribution of singularities in space generally when the test data with noise disturbance is filtered by Fourier transform.
用傅里叶变换对含有噪声干扰的试验数据进行滤波，通常难以确定奇异点在空间的位置及分布情况。
Through comparing linear and nonlinear evolutions, it is observed that discontinuities and singularities are the fundamental characteristics of nonlinear whole evolutions.
通过对线性进化与非线性进化的比较，可以发现不连续性和奇异性是非线性整体进化的基本特征。
Using the method of wavelets transform, the main terms in singularities are retained in simplification. So the result is more accurate in a point view of singularity analysis.
利用小波变换这一工具，可以在化简时保留奇性的主要部分，使所得的结果从奇性分析的观点看来更为精确。
This paper presents a ALGOL program for calculating the thickness pressure distributions of arbitrary supersonic three dimensional wings by using the method of source singularities.
本文提供了用超音速源汇法计算任意三维机翼超音速厚度压强分布的算法语言程序。
The relationship between the properties of double singularities, noise correlation time and dissipative parameter and their effects on entropy flux and entropy production are discussed.
分析（非平衡约束下）所引入的奇异性强度参数、噪声相关时间与耗散参数的相互作用以及对熵流、熵产生的显著影响。
Just as the initial singularity at the start of the universe may have had only one possible state, so it is possible that the final singularities inside black holes have a unique state.
正如同宇宙的初始奇异点可能只有一种状态，所以黑洞内部的最终奇异点也可能只有唯一的状态。
Deep and clear understanding of singularities of parallel mechanisms is the fundament to reduce or eliminate the effect of singularity and improve the performance of parallel mechanisms.
对并联机构奇异位形的特性进行深入的研究是减小和消除奇异位形的影响，提高并联机构性能的基础。
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