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The main jobs of the paper are as follows, Multi-scale decomposition and reconstruction of wavelet transform is utilized to filter the noise of negative-pressure-wave, which is brought by leakage. With the capacity to detect the signal singularity quickly and accurately, wavelet transform was used to catch the break point of pressure signal. Accordingly, the work improved the location accuracy.

主要研究工作有:利用小波变换的多分辨率分解和重构技术,对采集到的管道泄漏产生的负压波信号进行消噪处理,并对几个影响消噪质量的关键因素及其选取方法进行了分析;再利用小波变换技术对信号奇异点的快速、准确的识别能力,对经消噪后的负压波信号进行奇异点捕捉,从而实现更精确的单条燃气管道泄漏定位。

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。

The problem of a curved rigid line or crack crossing the interface of the circular inclusion are studied by the principal part analysis method of Cauchy type integral equation. The singular stress index at the intersection and the singular stress at the angular regions near the intersection are obtained. The singular stress coefficients of rigid line at intersection and the stress intensity factors of crack at intersection are defined by using the singular stress.

利用Cauchy型奇异积分方程的主部分析方法对曲线型刚性线和曲线裂纹和圆夹杂界面的相交问题进行了研究,得出刚性线以及裂纹和界面交点处的奇性应力指数以及交点处角形域内的奇性应力,并利用奇性应力分别定义了刚性线在交点处的应力奇异因子和裂纹在交点处的应力强度因子。

This paper is to research singular transport equations with anisotropic continuous energy homogeneous slab geometry for periodic boundary condition in slab geometry.

在Lp1周期边界条件下各向异性、连续能量、均匀介质的奇异迁移方程,证明了其相应的奇异迁移算子产生C0半群和该C0半群的Dyson-Phillips展开式的二阶余项是紧的,从而该算子的谱在区域Γ中由具有限重的离散本征值组成等结果。

Furthermore, under the assumption that the covariant derivative of the sectionssatisfies the Lipschitz condition with L-average along the geodesic, the estimates of the radiiof convergence balls of Newton\'s method and uniqueness balls of singular points around thesingular points of sections on Riemannian manifolds are given.

当截面的协变导数满足沿着测地线的关于取正值非减可积函数L-平均的Lipschitz条件条件时,本文给出关于截面的Newton法的收敛球半径的估计,及在奇异点附近的关于截面的奇异点的唯一性球的半径的估计。

A new concept on the continuously distributed directional image/field and the method to compute it in the fingerprint images are proposed,which exhibits not only good continuity,well gradualness,and excellent robustness to the noises,but very high precision,as well.

本文提出了指纹连续分布方向图的概念及其算法,连续分布方向图具有很好的连续性、渐变性、抗噪性和较高的精确度;对经典的PoincaréIndex计算公式和指纹奇异点检测算法进行了改进,改进后的PoincaréIndex不仅能精确表示向量场的旋转角度,而且还能精确表示向量场的旋转方向,能够在像素级水平精确定位指纹奇异点(core点和delta点)。

Based on scale SVD transform, a target feature extracting method is proposed to solve this difficult problem. The experimental result shows that this method has favorable stability to target matrix's SVD feature vectors, and high invariant property to displacement, rotation and scale.

为解决这一技术难题,文中提出了基于尺度奇异值变换的红外图像目标特征提取方法,实验表明该方法提取的目标矩阵的奇异值特征向量具有较好的稳定性,对图像的平移、旋转和比例变化具有良好的不变性,是一种实用的特征提取方法。

Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.

考虑到反问题的数值计算需要将问题离散化,化为有限维的问题来进行处理,而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法,因此在反问题的数值计算中没有必要避开奇异系的计算,此时TSVD正则化方法是十分简单并相当有效的正则化方法。

In chapter 4, the factorization and cascade decomposition for first order singular systems have been discussed, the if and only if conditions have been obtained, the invariaty of minimality under factoiization and cascade decomposition has been proved.

第四章,讨论了一阶奇异系统的因子分解和级联分解,给出了其具有上述分解的充要条件,证明了极小性在分解下的不变性;对具有一阶奇异系统实现的有理函数矩阵,给出了判定其为正实函数的充要条件,推广了著名的正实引理。

The orientation-singularity expression of the Stewart platform is deduced by using unit quaternion which can avoid singularity when using Euler angles to represent the orientation of rigid body, and then the algorithm of orientation-workspace of the manipulator at a certain position is proposed.

基于单位四元数描述的刚体姿态,避免了欧拉角等描述刚体姿态的奇异性问题,推导出Stewart机构处于给定位置时的姿态奇异解析表达式,并提出了该机构处于给定位置时的姿态工作空间算法,通过计算机仿真给出该机构处于一给定位置时姿态奇异轨迹和姿态工作空间的三维可视化描述。

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I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里,举止就文雅一些,因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计,这件高贵的制服是香港本土制造,是我们第一套不配帽子的制服。

Do not 'inflate' your achievements and/or qualifications or skills .

不要 '夸大' 你的业绩或成果,条件或者技能。