查询词典 unique factorization theorem

First, a non-negative tensor factorization algorithm is improved by imposing sparseness constraints on it. Secondly, the bispectral images of mechanical signals are obtained and stacked to form a third-order tensor. Thirdly, the improved algorithm is used to extract features, which are represented by a series of basis images from this tensor. Finally, coefficients indicating these basis images' weights in constituting original bispectral images are calculated for fault classification.

首先，改进已有的非负张量分解算法，加入稀疏度控制策略；其次，将机械振动信号的双谱图像堆叠为一个三阶张量；然后利用改进后的分解算法对该张量进行二次故障特征提取，得到代表局部特征的"基图像"；最后，通过计算得出基图像在构成原双谱图像中所占的权重，并将得到的权重向量用于故障分类。

First, considering the construction characteristic of Reed-Solomon code, we present a kind of new construction method for linear codes by using the factorization properties of cyclotomic polynomials on finite fields.

在纠错码的设计与分析方面：首先，结合Reed-Solomon码的构造特点，利用有限域F_q上分圆多项式的分解特性来构造F_q上线性码。

At last, By using the factorization properties of cyclotomic polynmials on finite fields and the construction characteristic of cyclic codes, we present the relation of the period distribution of cyclic codes and the period distribution of their dual codes, establish the explicit formula for the number of the codewords without inner-period of the cyclic codes and their dual codes, find the method for computing the dimension and the period distribution of narrow-sense primitive BCH codes,and study the inverse question of period distribution of cyclic codes.

最后，利用有限域上分圆多项式的分解特性和循环码的构造特点，揭示了循环码的周期分布与其对偶码周期分布之间的内在联系，确定了一般循环码及其对偶码内无内周期码字的精确计数公式，决定了狭义本原BCH码的维数与周期分布，讨论了循环码周期分布的反问题。

He correspondence between two point set surfaces was established based on the deformation gradient and the moving least square method. The deformation gradient was decomposed into a rotation and a stretching component with the matrix polar factorization. Then each component was interpolated in dividually over the time. Shape interpolation was implemented through a global quadric energy optimization.

基于该变形梯度以及移动最小二乘方法建立了源点云与目标点云之间的对应关系；将变形梯度进行矩阵极分解，对分解后的各分量分别进行插值，再通过一个全局的二次能量优化实现点云曲面的形状插值。

The introduction of technology, the domestic press enterprises aren't unlt indraught, but with the introduction of factorization, what do I need for the introduction of technology so as to avoid a duplicate transfer.

就引进技术而言，国内印机企业不像以前那样成套引进，而是采用分解式引进，需要什么技术就引进什么技术，避免了重复引进。

The parameter estimation problem to the invertible vector moving average model essentially is a matrix spectral factorization problem.

中文摘要：可逆的向量滑动平均模型参数估计问题本质上是一个矩阵谱分解问题。

The parallelization method can be used to any incomplete factorization preconditioner.

这种并行化方法可以应用于块三对角线性方程组的任何不完全分解型预条件。

By the time ordered perturbative theory and factorization, we analyze all the twist-4 evolution processes and get the relation between all the cut graphs, we obtain a new modified equation.

利用时序微扰论并根据因子化定理，我们找到有关扭度-4演化过程的不同切割图之间的联系，归纳出一个新的完整的高扭度修正的演化方程。

By applying the above mentioned theoretical approaches in the secondhalf of this thesis, we study several phenomenologically interesting problems including the B meson nonleptonic decays, rare decays and the extractionof the CKM matrix element 〓. With the hypothesis of factorization, thetwo-body nouleptonic decays of B mesons are analyzed.

本文的后半部分应用上述理论进展，分别探讨与研究了B介子的非轻衰变，稀有衰变以及CKM矩阵元Vub的抽取等问题，在因子化假设下，我们分析了B介子的二体非轻衰变，并得到〓介子的衰变常数约为280 MeV。

In this dissertation, we first adopted many methods to determine the number of endmembers, then a method by combining the a prior knowledge of hyperspectral data into nonnegative matrix factorization was proposed to unmix hyperspectral images when there are no pure pixels existing in data.

在本文中，我们首先采用多种方法对超光谱图像端元个数的确定进行分析，然后将超光谱图像的先验知识加入到非负矩阵分解中，对纯像元不存在情况下的超光谱数据进行混合像元分解，实验结果表明本文中提出的方法是有效的和可行的。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。