查询词典 unique factorization theorem

Uenced by lighting, expres-sion, view, and age, we apply tensor factorization to extracting multi-factor representationfor faces and propose a TF-based model for facial view estimation and an algorithm with themeasure of correlation between tensor representation and view factor.

考虑到人脸图像受光照、表情、视角、年龄等多种因素的影响，我们用张量分解方法同时提取人脸图像中的多因子表征，进而构建一个基于张量分解的人脸视角感知模型。

This paper discusses the relation beween order classification and isomorphic classification , gives some important characteristic properties of a cyclic group with order n and a important property of a p-group with finite order, introduces two factorization method of direct product for commutative p-group with finite order, presents some new problems.

讨论了阶分类与同构分类的关系，给出了n阶循环群的几个重要的特征性质和有限p-群的一个重要性质，介绍了有限交换p-群直积分解的两种方法，提出了一些新的问题。

To get high numerical stability and computational efficiency, U-D factorization-based DFP and BFGS algorithms are developed.

该算法解决了H阵的正定性问题，保证了算法的数值稳定性，并大大提高了计算效率。

Two forms of implicit TVD schemes are proposed in this paper for the simulation of nonequilibrium flows past hypersonic re entry vehicle, which are derived from the diagonal form of an approximate factorization algorithm and lower upper scheme applied to the implicit part of Harten Yee's TVD scheme respectively.

针对高超音速化学非平衡流提出了两种隐式格式。一种是近似因子分解算法对角化形式在隐式TVD格式上的推广，另一种可视为隐式TVD格式的LU分解形式。

A parallel algorithm for certain real symmetric block-tridiagonal linear systems on distributed-memory multicomputers is proposed. This algorithm is based on the block factorization of the coefficient matrix. This algorithm is used to solving the block-tridiagonal linear systems resulted from the finite difference approximation to Poisson's equation with Dirichlet boundary conditions. Then we get a parallel algorithm which speedup tends to linear speedup.

7研究了一类实对称块三对角线性方程组的分布式并行求解，提出了一种基于块矩阵分解的高效分布式并行算法，将其应用于求解带Dirichlet边界条件的Poisson方程导出的块三对角线性方程组，得到加速比趋于线性加速比的分布式并行算法，理论上说，这也是并行算法的理想情况。

Finally, summed up the basic concepts of polynomials, divisibility theory, factorization theory, theory of polynomial roots.

最后总结出了多项式的基本概念，整除性理论，因式分解理论，多项式根的理论。

The connection between two different approaches to singular H∞ control problems based on geometric control theory and-lossless factorization theory respectively is established. This paper illustrates the eigenspace structure of singular H∞ control systems.

文中建立了基于几何控制理论和基于J-无损分解理论的两种不同的奇异H∞控制分析方法之间的联系，并揭示了具有无穷远零点的奇异 H∞控制系统的特征空间结构。

This course, which discusses elementary of computational number theory, includes the following subjects:(1) Fundamental properties of Integers;(2) Congruences;(3) Congruent equations;(4) Legendre and Jacobi symbols;(5) Primitive roots;(6) Primality testing and factorization;(7) Index computation and discrete logarithm computation;(8) Other computational problems.

本课程将讨论计算数论的基本知识，主要包括以下内容：(1)整数基本性质；(2)同余；(3)同余式；(4) Legendre和Jacobi符号；(5)原根；(6)素性测试和大数分解；(7)指数计算和离散对数计算；(8)其他计算问题。

This paper gives a reconstruction method based on rational B-spline and factorization method.

本文提出了一种有理B-样条方法与因式分解法相结合的重建方法。

This paper presents a new scheme based on Nonnegative Matrix Factorization and simplex-based method to solve this problem.

本文提出一种新的基于非负矩阵因式分解(Nonnegative Matrix Factorization，NMF)算法和单形方法相结合的混合像元分解方法去解决上述问题。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。