SINGULAR is a worthwhile system to try out, especially if you're interested in singularity theory.
SINGULAR是个值得一试的系统，如果您对奇点理论感兴趣则尤其如此。
The static bifurcation in electric power system under periodical disturbance is studied with singularity theory.
应用奇异性理论研究了电力系统在周期性负荷扰动下的静态分岔现象。
The transition set and the bifurcation figures of the nonlinear systems have been achieved by the singularity theory.
第五章用规范形理论求出了非线性系统的分岔响应方程，用奇异性理论得到了系统的转迁集和分岔图。
Equivalent normal forms of the cavitated bifurcation equation at the bifurcation point were presented by using singularity theory.
利用奇点理论给出了空穴分岔方程在分岔点的等价正规形。
Singularity Theory and Universal Unfolding Method were used to study the bifurcation characteristics of the static bifurcation equations.
运用奇异性理论和普适开折方法对其分岔特性进行了研究。
Based on the catastrophe theory, static bifurcation theory and singularity theory, to research the brittleness problems of complex system.
以突变理论、静态分叉理论、奇异性理论等为基础，对复杂系统的脆性问题进行了深入的研究。
Finally, all the bifurcation curves are obtained using the singularity theory, which provides theoretical basis for dynamic analysis and design of this kind of systems.
最后，运用奇异性理论得到了系统的全部分岔响应曲线，为这一类系统的动态分析与设计提供了理论依据。
This paper investigates the subharmonic parametric resonance problems of a symmetric orthotropic laminated rectangular plate with simply supported edges by the use of the singularity theory.
在分析与探讨脉动轴向力作用下梁的参数共振问题时，本文取四种边界条件来分析第二阶次谐波参数共振的稳定区域，确定了零解与非零解的稳定性。
In Big Bang theory, the state of the Universe is a singularity in early times, meaning that the Universe was once infinitely small.
在大爆炸理论里，早期宇宙的状态是一个奇点，这意味着宇宙曾经是无穷小的。
However, Eddington's revised theory requires a minimum length of space-time at early times, which means that the Universe could not have been a singularity.
然而，修正后的Eddington理论要求早期时空的尺度应该具有某个最小值，这意味着那时的宇宙不可能是一个奇点。
With Roger Penrose I showed that if Einstein's general theory of relativity is correct, there would be a singularity, a point of infinite density and space-time curvature, where time has a beginning.
Roger Penrose和我曾表明，如果爱因斯坦的一般相对论是正确的，那就会有一个特例，在无限密集和空间时间弯曲这一点上，时间就会有一个开端。
According to the singularity perturbation theory, dynamic inversion is adopted to design the basic attitude controller including fast inverse loop and slow inverse loop.
利用多重时间尺度奇异摄动理论，结合非线性动态逆方法设计了基本姿态控制器，包括快逆回路和慢逆回路两部分。
This theory also provide a possible schema for solving the singularity problem and the birth of the universe.
这一理论也为解决宇宙奇点疑难，宇宙的起源提供了一种可行的方案。
According to theory, the event horizon of a black hole that is not spinning is spherical, and its singularity is (informally speaking) a single point.
依照理论，不旋转的黑洞活动视界是球形的，而且它的奇异点是(非正式说法)是单一点。
The paper discuss the singularity detection theory of wavelet transform, this theory is applied to analysis of fault characteristics of the transient traveling waves.
本文讨论了小波变换及小波变换的奇异性检测理论，并将其应用于暂态行波故障特征的分析。
To solve the problem of singularity in cosmos explosion, Stephen Hawking proposes a new cosmos theory, namely the no-boundary cosmos model.
无边界宇宙模型是霍金为解决宇宙奇点问题所提出的一种新宇宙理论。
A wavelet domain singularity detection algorithm, based on the theory of pulse extraction, is applied in partial discharge (PD) pulse extraction utilizing the singularity of PD signal.
在提出脉冲提取思想的基础上，利用局部放电信号所固有的奇异性特征，将小波变换的奇异性检测原理应用于提取局部放电脉冲。
The signal singularity detection theory based on wavelets analysis is given. Through the study of those singularity, the damage situation of the structure may be discovered.
文章给出了基于小波分析的信号奇异性检测理论，通过对突变信号进行小波分析可以发现结构的损伤情况。
Curvelet is a new multiscale transform theory, which has the characteristics of anisotropy. It can approach a high dimensional function containing line singularity better.
曲波变换是一种新的多尺度变换理论，具有各向异性的特征，可以很好地逼近含线奇异的高维函数。
Some major puzzles in black hole theory and General Relativity, including Hawking radiation, information puzzle, singularity theorem and synchronization of clock rate, are presented.
介绍了黑洞理论和广义相对论中的几个重要疑难，涉及霍金辐射、信息佯谬、奇性定理和钟速同步，并给出了可能的解答。
The application of wavelet theory in signal processing in mechanical engineering field is also discussed and a practical technique for signal singularity detection is proposed.
研究小波分析在机械工程信号处理中的应用，提出通过二进小波变换检测信号奇异点的实用技术。
The application of wavelet theory in signal processing in mechanical engineering field is also discussed and a practical technique for signal singularity detection is proposed.
研究小波分析在机械工程信号处理中的应用，提出通过二进小波变换检测信号奇异点的实用技术。
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