singularities

The modified equation did not eliminate the troubles with singularities , but it enabled Perelman to carry the analysis much further.

修改后的方程式并没有除去奇异点的麻烦，但是却能让帕瑞尔曼的分析进展得更远。

If that is the case, says Hawking, Einstein's general theory of relativity would have to be modified, and there would be no singularities .

如果这是事实的话，哈肯说，爱因斯坦的相对论必须被修正，而且也不会有非凡现象。

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。

If black holes are not singularities , then the continuum of spacetime described by Einstein must be only an approximation, says Ashtekar.

如果黑洞不是奇点，那么爱因斯坦时空连续体只能是近似描述了，阿贝·阿西提卡说。

By contrastive analysis of the clusters, the availability of redundancy on eliminating singularities of the parallel mechanisms was shown.

通过对奇异曲线簇的对比分析，说明了机构冗余性对消除奇异性的有效作用。

Stronger singularities can only be dealt with for special matrix potentials.

更强的奇异性仅能被用于处理特殊的矩阵势。

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。

To avoid the singularities from appearing after gross error compensation, necessary cycle detection is added.

通过加入必要的回路检测，避免了幅度补偿后矩阵奇异性的产生。

Let X be a minimal 3-fold of general type and has at worst Q-factorial terminal singularities. Let KX be the canonical divisor on X.

设X是一个一般型极小三维代数簇且只有Q-可分终极奇点，KX是X上的典范除子。

I gives the classification of simple boundary singularities under right equivalence.

给出了简单边界奇点在右等价下的分类。

Also, some forms of splines have singularities where the curve veers off into infinity.

样，一些形式的曲尺有奇异点，在这里曲线转向无穷远。

On the aspect of gauge field theory, we primarily investigate the evolution of Yang-Mills flow and the structure of its singularities.

在规范场的数学理论方面，我们主要研究了杨-米尔斯流的演化及奇点的构造问题。

We earlier introduced an approach to categorical shape description based on the singularities (shocks) of curve evolution equations.

我们先前介绍的方法，以明确的形状描述基于奇异（冲击）的曲线演化方程。

At the same time, we discuss the singularities and the asymptotic properties of the solution by the continuity method.

同时进一步地通过连续化方法讨论了解的奇异性及渐近性。

However, the disadvantages such as smaller workspace and more singularities limit its application.

但是作业空间小、奇异位形多等缺点限制了其发展。

On the other hand, the ray methods have faster speed, but sometimes they introduce singularities at ray-crossing points.

传统射线声线方法虽然在解算速度方面具有优势，但常会引入一些奇异点。

It is important to study the function singularities by Taylor s development in the theory of analytic continuation.

利用函数的泰勒展开研究函数奇点问题是函数解析开拓理论研究的重要课题。

Upper bound of the rate of entropy change of a stochastic system with double singularities driven by colored noise

色噪声驱动的双奇异随机系统随时间演化的熵变化率上界

Demonstration of the non-existence of gravitational fields with a non-vanishing total mass free of singularities

总质量非零且无奇点的引力场的不存在性证明

A Structural Synthesis for a Family of Translation Parallel Manipulators Without Constraint Singularities

避免约束奇异的平动并联机器人设计方法