查询词典 singular complex

Because many practical problems could been changed to the boundary value problems for holomorphic function or singular integral equations in the mechanics, physics and the engineering technology.

因为力学、物理学、工程技术中的许多实际问题往往可化为这类问题或者化为奇异积分方程，而奇异积分方程又与解析函数的边值问题有着紧密的联系，所以研究这类问题有着重要的实际意义，从而吸引了很多科研工作者从事这方面的研究。

Buffett is such a fixture in the business world we sometimes forget just how singular he is: master analyst, executive and huckster.

巴菲特是商业世界中的老面孔，以至於我们有时候都忘了他是多麼的独一无二：他是个分析大师、公司高管，而且还是个商人。

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。

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。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。