奇异函数

Boundary singular kernel method is adopted to modify EFG shape function to impose essential boundary conditions directly.

采用边界奇异核方法对EFG形函数进行修正，直接施加本质边界条件。

Image restoration ; Point Spread Function; block-based Singular Value Decomposition; image degradation ; exponential model of averaged spectra

图像复原；点扩散函数；分块奇异值分解；图像退化；平均能谱指数模型

In this article, we use three multifractal analysis methods, which are partition function method, singular spectrum method and multifractal detrended fluctuation method, to analyse the closing price series during the past seven years in Shanghai Stock Market with different time scales.

作者将多重分形分析的三种方法（配分函数分析法、奇异谱分析法和多重分形趋势消除波动分析法）应用于我国上海证券市场在过去七年中的收盘指数序列，分析了不同时间标度对多重分形特性的影响。

Keywords: MRSI; equal-phase line algorithm;sampling density compensation function; singular value decomposition;sensitivity encoding matrix

中文关键词：磁共振波谱成像；等相位线算法；采样密度补偿函数；奇异值分解；灵敏度编码矩阵

The coordinate transform method is used to calculate the weak singular integral.

为了获得O(1／r)弱奇异积分高精度的解，采用坐标变换的方法，消除被积函数中的奇异性。

The strongly singular integral can not be calculated by using the constitutive and equilibrium equations.

对于被积函数中含有强奇异积分的情形，即：，在单元内采用本构方程和平衡方程建立线性方程组，求解的方法间接获得要求得结果。

Based on the singular value decomposition of kernel matrix, SVD-LSSVM was proposed, which oan save time for hyper parameters selection via cross validation.

本文利用核函数矩阵的奇异值分解，得到了可以节省超参数选取时间的分类器：SVD-LSSVM。

The new sparse algorithms were applied to several real life pattern classification problems.6. Based on the singular value decomposition of kernel matrix, SVD-LSSVM was proposed, which oan save time for hyper parameters selection via cross validation.

另外，本文提出的稀疏化算法可直接应用于多类问题。6、本文利用核函数矩阵的奇异值分解，得到了可以节省超参数选取时间的分类器：SVD-LSSVM。

For the singular spectrum analysis of time series, a method of constructing covariance matrix by using forth order cumulant is proposed. The method could restrain the Gaossian noise and symmetrical distributed noise mixed with chaotic signals.

对于时间序列的高阶奇异谱分析，提出了一种利用四阶累积量函数构造协方差矩阵的方法，该方法从理论上能有效地抑制叠加在混沌信号中的高斯噪声和对称分布噪声对重构结果的影响。

With the use of the dislocation method of complex potential function, this paper studies the interaction between the interface macrocrack and the interface or beneath-interface microcracks by the construction and numerical solution of singular integral equations .

采用复势函数的位错解方法，通过对奇异积分方程的建立和数值求解，研究了界面主裂纹同界面及基体微裂纹之间的干涉。结果表明远场载荷角ψ同Dunder's参数α对界面微裂纹及基体中水平微裂纹同主裂纹干涉的影响都很显著，而ψ对屏蔽区的影响则远小于α对其的影

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。