查询词典 singular

The method of fitting hyperbola with singular value decomposition was used to measure the laser beam quality parameters.

基于奇异值分解拟合双曲线方法，对激光光束质量参数进行测量。

In Chapter 2,we extend a boundary map with singular points to a harmonic mapbetween real Hyperbolic space and complex Hyperbolic space.

在第二章中我们将带有奇异点的边界映射延拓为从实双曲空间到复双曲空间的调和映射。

However, the solutions of the Cauchy problem of the nonlinear hyperbolic system generally develop singularities in finite time even if the initial data are small and smooth.For this reason, solutions must be found in the space of discontinuous functions. Therefore, one can not directly use the classical analytic techniques that predominate in the theory of partial differential equations of other types. Instead, we construct approximate solutions via the singular perturbation methods. By using the compactness of the approximate solutions, we can obtain the existence of the solutions of original system.

然而一般而言，即使是在初值很小且光滑的情况下，非线性双曲型守恒律的Cauchy问题的解在有限时间内也会出现奇异性，为此，我们必须在不连续函数空间中寻找上述问题的解，因此对这类问题的研究，我们也不可能直接利用在其它类型的偏微分方程中占主导地位的解析方法来解决问题，而是通过奇异扰动法构造近似解，由近似解的紧性得到原问题解的存在性。

Uncertain singular systems are transformed into the form of restricted equivalence by a nonsingular linear transformation. By the method of Lyapunov function, a new terminal sliding mode control strategy based on the form of restricted equivalence is proposed for the first time, and the hypersurface of a special terminal sliding mode is given. A terminal sliding mode controller is designed correspondingly such that the motion of sliding mode can be guaranteed and the systems state variables can converge to the equilibrium point in a finite time.

通过非奇异线性变换把不确定奇异系统变换成受限等价形式，利用Lyapunov函数方法，首次提出了一种新的Terminal滑模控制策略，给出了特殊的Terminal滑模超曲面，设计了相应的滑模控制器，实现了滑模运动，保证了系统状态变量在有限时间内收敛到平衡点。

Keywords: singular systems with delay; existence and uniqueness; stability; blind signal processing; ill-conditioned cases.

中文关键词：广义系统；存在唯一性；稳定性；信号盲处理；病态情形。

Because the MLS is used in this method, the disadvantages of the method are its less efficiency, and can form an ill-conditioned or singular equations sometimes.

但是移动最小二乘法的使用影响了该方法的计算效率，而且很容易形成病态方程组。

That is, the singular terms: signal, point, sample, and value, refer to the combination of the real part and the imaginary part.

也就是说，单一的术语：信号、点、样本和数值指的是实部和虚部的组合。

The concept and method of two-layer gridding partition of an image were discussed, and then the watermark imbedding function of singular value decomposition based single-layer watermarking algorithm was created.

讨论了图像双层网格划分的概念和方法，对基于奇异值分解的单层水印算法中的水印嵌入函数进行了改进。

Because of adopting fixed groundwork, position of every observation station is immovability, agility of instrument is poor, singular fixed stand can not meet the need of modern equipment.

由于采用固定地基的方式，各观测点的位置不动，仪器设备的机动性差，单一的固定站点已不能满足现代化的装备要求。

In this project, we intend to combine the above mathematical ideas. First, we consider a wild family of dynamical systems which can be derived into a family of difference equations. Then using a generalized version of the implicit function theorem which we will establish, we want to show that for any dynamical systems near 「singular limit」, there exists a horseshoe structure and hence chaotic phenomena occur.

在此研究计画中，我们打算结合上述的数学结论与想法，进一步考虑一类能够转化成差分方程的动态系统函数族，使用即将建立的推广性隐函数定理，我们希望证明当参数接近奇异极限时，动态函数会具有马蹄结构所以有混沌现象。

He got into race cars, while my father liked go-karts more, so I didn't really pay attention to what Diego was doing, as I was just racing karts.

叔叔开的是跑车，而我父亲更喜欢越野卡丁车，所以我并不太关注Diego在做什么，我仅仅在跑我的卡丁车而已。

She is at present gone to look for the best nectar and ambrosia to regale me this evening.

她今晚为款待我，现在又去准备美酒佳肴去了。