查询词典 decomposition

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

This paper discusses some generalized forms of the primary decomposition of vector space with regard to linear transformation.

本文讨论了向量空间关于线性变换σ的准素分解的一些推广形式。

Despite the many advantages over asbestos-based friction material, thermal decomposition or liquescence of phenolic resin due to frictional heating can cause semi-metallic friction material to fade away (a phenomenon of friction decline with operation time).

中文摘要半属基摩擦材主要是使用一种或多种耐热的树脂(以酚醛树脂最为广泛使用)为基材，添加各属粉末或纤维以强化基材，并添加润剂、摩擦调整剂等增加材的磨耗性能，其成份中通常含有超过50 wt%的属成份。

This 13C-depleted C is incorporated into the meteoric water pore fluids through decomposition of the constantly renewing biomass and becomes incorporated into limestone/dolostone during lithification.

这种相对缺乏13C的碳通过不断更新的生物体的分解混入了大气水孔隙的流体，最终在成岩过程中形成了灰岩或者白云岩。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题，同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计，它们揭示了其水平集的测度与局部时之间的内在关系，刻划了多指标对称稳定过程水平集的分形特征，表明了研究此类问题的积极意义，该问题是随机分形研究领域的国内外学者所关注的热点问题之一；解决了多指标稳定分量过程的局部时存在性与连续性问题，进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题；此外，本研究项目还解决了布朗单样本轨道的重分形分析，即高维白噪音的重分形分析问题。

Based on a localization principle and subband decomposition, monoscale ridgelet and curvelet were proposed, both of which were derived from ridgelet transform and can efficiently deal with smooth images with smooth edges including straight and curve singularity. They, hence, are of better application potention. sparse representation;optimal basis;ridgelet;curvelet;image denoising;non-parametric estimation

单尺度脊波和Curvelet变换由脊波变换发展而来，分别利用了函数局部化和频带剖分的思想，将脊波理论发展到了一个更高的阶段，这两种变换都能"近似最优"的表示直线和曲线奇异，因而具有更好的应用前景。

Louis Pasteur, trained as a chemist, made some of his major contributions in microbiology as a result of his interest in the decomposition of natural products in the absence of air, the process of fermentation.

Louis Pasteur，一个训练有素的化学家，由于对在缺少空气情况下天然物质的腐烂现象和发酵过程很感兴趣，在微生物领域中作出了重要的贡献。

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。

After the setup of a table of the spectral factorization results of each array of matrix, the SF decomposition can give the lower triangular matrix by reading the table.

特别是在复杂介质的偏移计算中，分解误差随介质的不均匀性程度的增大而增大，严重影响着波场的计算。

Comparing with traditional LU numerical decomposition algorithm to solve each row of lower triangular matrix L and each column of upper triangular matrix U, the proposed method is easy to program and efficient In addition, the structure symmetry of Jacobian matrix and the experience of compiler optimization are also adopted in this research, it makes less required memory for the proposed algorithm and higher calculation efficiency.

这种算法和求取L阵每列和U阵每行的传统LU分解方法相比，具有编程简单、计算效率高的优点。另外，雅可比矩阵结构对称以及编译器优化的经验也应用到文中，使得算法不仅占用内存较少，且效率较高。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。