查询词典 singular

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

If you want to refer back to a collective noun, you choose a singular pronoun or determiner if the previous verb is singular, and a plural pronoun if the previous verb is plural.

想重提集合名词时，如果你上一次使用的动词是单数，那么应该选择一个单数的代词或是限定词，如果你上一次使用的动词是复数，那么应该使用复数形式的动词

The main subjects of the volume include:- spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers;- multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations;- Hankel operators and forms;- operator algebras;- the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations;- approximation in holomorphic spaces.

卷包括：主要课程-定期微分算子和延迟方程谱分析，稳定控制器，傅立叶乘数；-多变量算子理论，模型论，换位解除定理，coisometric变现；- Hankel算子和形式；-算子代数；-在奇异积分和谐波分析，奇异积分算子和积分表示贝尔曼函数方法；-在全纯空间近似。

Owing to the key conclusion, this paper lays emphasis on the possible ways of realizing the singular conjugation by single—enveloping method. It is proved that the hyperbolic normal arc surface and the involute helicoid both may conjugate in singular points on the condition of single—envelope.

在奇点共轭理论的工程实现方面，文中明确指出二次包络是获得奇点共轭的有效手段，但并非唯一手段，在满足特定的运动几何条件下，一次包络即可获得奇点共轭。

A new method for filtering out singular points in damped harmonic vibration signal;2. Region of interest of a fingerprint image is extracted according to the position and direction of the singular points .

该算法根据奇异点的位置和方向，提取指纹图像的感兴趣区域，并使用二维主成分分析(2DPCA)的方法进行统计特征的提取和识别。

Second, analyzing principle of the singular value decomposition and the principle of wavelet transform deeply at all levels, as well as the impact to image processing and singular value decomposition wavelet analyzing, focus on single watermarking and double watermarking algorithm based on the discrete wavelet transform.

其次，深入分析了奇异值分解的原理和小波变换的原理以及图像处理对各级小波分解和奇异值分析的影响等，重点研究了基于离散小波变换的单水印和双水印算法。

Area coordinates and general Duffycoordinates are employed to transform the singular integrals of the Time-Domain Electric Field Integral Equation into non-singular integrals, which can be accurately and efficiently evaluated by dividing the transformed domain of integration into sub-domains.

摘要该文首先利用参数坐标和广义Duffy坐标变换将时域电场积分方程的奇异性积分转换成非奇异性积分，然后根据时间基函数的特点将该积分转换成可以快速精确计算的分区域积分。

The connection between two different approaches to singular H∞ control problems based on geometric control theory and-lossless factorization theory respectively is established. This paper illustrates the eigenspace structure of singular H∞ control systems.

文中建立了基于几何控制理论和基于J-无损分解理论的两种不同的奇异H∞控制分析方法之间的联系，并揭示了具有无穷远零点的奇异 H∞控制系统的特征空间结构。

The singular distributed parameter system can be converted to a singular system by using the eigenvector function method.

首次研究了广义分布参数系统的不变性条件，利用特征向量函数法将广义分布参数系统化为一广义系统，证明了它们的不变性条件是等价的，同时也指正了某些文献个别结论和证明

Using the method of blow up lower and upper solutions, the existence and boundary behavior of positive boundary blow up solutions for some elliptic systems of competitive type with singular weight functions are obtained, here the singular weight functions are permitted to be bounded in some parts of the boundary, and to go to infinity or even oscillate in other parts.

利用爆破上、下解方法，本文建立了带奇异权函数的竞争型椭圆方程组正的边界爆破解的存在性和边界行为，这里奇异权函数可以在边界的某一部分有界，而在其他的部分趋于无穷或者震荡。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。