查询词典 triangular factorization

Based on this, to the recent years the related questions which appear frequently in the middle school mathematics competition, nimble utilization the aliquot concept, the relative prime nature, the combinatorial nature, the factorization, as well as the conclusion of the continual integer product nimbly can by aliquot knowledge and the methods, and so on, carried on the proof and the explanation.

在此基础上，对近年来在中学数学竞赛中频繁出现的相关问题，灵活运用整除概念、互素性质、组合性质、因式分解以及个连续整数的乘积能被整除的结论等知识和方法，来进行证明与解答。

In chapter 2, based on Amari\'s alpha divergence, a non-negative matrix factorization algorithm is introduced.

在第二章，基于Amari alpha散度，我们引入了一类基于非负矩阵分解的盲信号分离算法。

Firstly, based on natural gradient and nonlinear principal component analysis, a matrix equation is obtained by block recursive updating,and then the matrix equation is solved using QR factorization and back substitution to obtain the optimal separating matrix.

此外，结合自然梯度和非线性主分量分析提出了一种块递归的盲源分离方法，构造出按块递归更新的矩阵方程，然后用QR分解和回代法求解该矩阵方程得到最优分离矩阵。

Firstly, based on natural gradient and nonlinear principle component analysis, a matrix equation is obtained by block recursive updating, and then the matrix equation is solved by using QR factorization and back substitution to obtain the optimal separating matrix.

首先基于自然梯度和非线性主分量分析，构造出按块递归更新的矩阵方程，然后用QR分解和回代法逐块求解该矩阵方程得到最优分离矩阵。

The last part of the chapter is devoted to the elementary factorization theory of commutative monoids with cancellation property and of commutative domains

后一部分主要介绍了关于交换幺半群的关于消去律的初等的因式分解理论以及交换整环的理论

By using the QCD factorization approach, we calculated the new physics contributions to the branching ratios of eight two-body charmless decays: B → Kπ, Kη~ After the inclusion of new physics corrections in the MSSM, the agreement between theoretical predictions and the measured values are improved.

2我们还在最小超对称标准模型下，计算了对B→KπKη~(等8个非粲强子衰变道的新物理修正。从整体上来看，新物理修正改善了理论预言和实验数据之间的符合程度。

By using the theory of factor theorem and determinant in higher Alge-bra, the factorization method of Circulant Symmetric function is given.

本文利用高等代数的因式定理理论和行列式理论，给出了轮换对称函数的因式分解方法。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

It is based on the difficulty of computing the discrete logarithm modulo for a composite number and the factorization problem of large integer.The size of the group signature and verification time of the group signature are equivalent to that of an individual signature.

该方案的安全性是基于求离散对数和RSA大整数因式分解的困难，其群签名长度和群签名的验证时间只相当于一般个人签名。

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。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样