分解的

By means of analyzing the noise error, it is proposed to use an algorithm of singular value decomposition total least squares to conduct the interharmonics estimation, namely taking the noise interference at both sides of the matrix equation into account simultaneously and solving the minimum norm problem by least square method under such condition. In the proposed algorithm by means of singular value decomposition of a new augmented matrix and by use of a simple and practical method to determine the number of principal singular value related to signal to noise ratio, the storage calculation of right singular matrix is performed, thus a more accurate frequency estimation of interharmonics can be obtained.

通过分析噪声误差，提出采用奇异值总体最小二乘(singular value decomposition total least squares，SVDTLS)算法进行间谐波频率估计，即同时考虑矩阵方程两边的噪声干扰，采用SVDTLS算法求解该情况下的最小范数解，通过对增广矩阵进行奇异值分解(singular value decomposition，SVD)，采用简单实用的与信噪比相关的主奇异值个数确定方法对分解的右奇异矩阵进行存储计算，得到了较精确的间谐波频率估计结果。

Then, the necessary conditions for testing non-redundancy and predigestion and the analysis of loseless decomposability are discussed.

给出了与或图数据库的定义、规范化理论、无冗余和既约化理论，证明了它与关系数据库的等价性；然后给出了依赖集存在冗余和既约的必要条件，讨论了无损分解在与或图形式下的特性，从而形成了与或图数据库关系模式分解的规范化算法。

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

The application of the model is the different combination that carries unit of pair of charge business accounting and budgetary unit, build a flexible work to disclose a structure, reduce resource and the workload that decompose in order to reach the biggest level, mix charge effectively plan target is compositive in a tool bag, carrying the control with pair of whole agile and orderly projects is obtained while the senior engineer makes efficiency.

模型的应用是通过对费用核算单元和预算单元的不同组合，建立一个灵活的工作分解结构，以达到最大程度减小资源和分解的工作量，并有效地将费用和进度目标集成在一个工作包中，在提高工作效率的同时达到对整个工程灵活有序的控制。

The analysis shows that the residual of the multi-spectral image with high resolution can be recovered by substituting the simplex portion obtained by decomposing the low-resolution multi-spectral image with hypercomplex residual image of a high-resolution panchromatic image, and the fusion of the multi-spectral image and the panchromatic image can be achieved by synthesizing symplectic decomposition.

分析表明用高分辨率全色图像的超复数残差图像来替换低分辨率多光谱图像分解后得到的simplex部分，就可以恢复出高分辨率的多光谱图像的残差，最后通过symplectic分解的合成实现多光谱图像和全色图像的融合。

To price the continuously sampled arithmetic average Asian option, an implicit upwind difference scheme is constructed based on the final boundary value problem of partial differential equation, which is satifiable to the option pricing problem. Then the unique existence and unconditional stability of the difference solution are demonstrated and the error estimate is given under the discrete L2 norm.

研究连续取样的算术平均亚式期权定价问题的差分方法，根据问题所满足的偏微分方程终边值问题，构造出一种隐式的迎风差分格式，论证了差分解的惟一存在性和绝对稳定性，并给出差分解在离散L2范数下的误差估计。

Using EMD method, there is bound to be divergent phenomena at the two ends of the upper and lower envelope signal in the data through the three interpolation algorithm, which is end effect. It will affect the quality of EMD decomposition badly, so that the decomposed IMF has no actual physical meaning.

在EMD方法应用中，通过三次条插值算法给出的上、下包络在数据信号的两端不可避免地会出现发散现象，即端点效应问题，会严重影响EMD分解的质量，使分解出的IMF没有实际的物理意义。

We got auniversal constraint about the 2—torsion invariants of 4—manifold 〓〓(Theorem 3.3.1),using the 〓—moduli space structures of twomanifolds with boundary obtained by splitting X along 〓.

对可沿〓分解的4—流形运用分解得到的两个带边流形的模空间结构得到了这类4—流形的2—torsion不变量的一个万有约束关系（定理3.3.1）。

Most importantly, with analyzing the calcined cinder by X-ray powder diffraction and scanning electron microscope, it was clear that at an appropriate calcination temperature, the activated SiO2 and Al2O3 in alkaline coal-cinder would react with the decomposed fused Na2CO3 to form a new neutral matter nepheline（NaAlSiO4）and other amorphous silicate compounds,causing an obvious reduction of the alkali content in coal-cinder.

采用X射线粉晶衍射及扫描电镜对煅烧后的灰渣进行表征，揭示了含碱灰渣煅烧脱碱过程的实质，即在适宜煅烧温度下，含碱灰渣中被活化的主要矿物质SiO2、Al2O3和熔融并分解的Na2CO3（分解为修饰网络氧化物Na2O）等发生化学反应转变为中性物质霞石（NaAlSiO4）及其他无定形复合硅酸盐，从而降低了灰渣中的碱含量。

A novel multisensor images fusion algorithm is presented based on lifting quincunx wavelt. First, the lifting quincunx wavelet transform is used to perform a multiscale decomposition of each image. Then, the wavelet coefficients of fused image are constructed using multiple operators according to different fusion rules. Finally, the reconstructed image is obtained through the inverse transform.

提出了一种基於提升方案的五株形小波的多传感器图像融合方法，即在提升五株形小波多尺度分解的基础上，对每一幅图像进行多尺度分解，按照不同的融合规则和融合运算子去构造融合图像对应的各小波系数，再通过逆变换重构融合后的图像。

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。