查询词典 unique factorization domain

Based on it, a new efficient implementation of preconditioned conjugate gradient is put forward to solve the Gauss-Newton equation and save the cost on computation with the same exactly quadratic convergence to the traditional choleski factorization.

新算法与传统的使用Choleski技术的Gauss-Newton法具有相同的收敛速率，但在求解 Gauss-Newton方程组时减少了代数运算的计算量。

The first kind of the digital signature schemes is based on the discrete logarithm problem and second kind of the digital signature scheme is based on discrete logarithm and factorization problem, the third kind of the digital signature schemes is based on quadratic residue problem.

本文第一章对数字签名方案进行分类，根据数字签名方案所基于的数学问题，将签名方案分为：基于离散对数问题的数字签名方案，基于素因子分解问题的数字签名方案和基于二次剩余问题的签名方案。

Some improved digital blind signature schemes, in security and efficiency, based on integer factorization, quadratic residue, and discrete logarithm cryptosystems are also be presented in this dissertation.

本论文亦针对现有各种植基於整数分解、二次剩余以及离散对数之盲签章机制，提出一些在安全上和效率上的改善方法。

Based on up_ and down_going wave decomposition and elastic wave power reciprocity theorem, this paper derives, in the lateral velocity varying case, linear prediction operators expression and the generalized spectral factorization equation for reflection dataset.

本文基于上下行波分解及弹性波互易定理，导出横向变速介质条件下线性预测算子的表达式和反射数据的广义谱分解方程。

The experiment was carried on in 2004-2006 year in the Shandong Longkou and the Shandong Institute of Forestry Science courtyard, Research was carry on how to reduce the cost in view of the low reproduces coefficient, low rootage and transplanting, not formed the scale to produce, the perfect group cultivates and the seedlings technical system to the factorization to carry on to the optimized so the technical system effectively reduce the single cost.

本试验于2004-2006年在山东省龙口复发中纪和山东省林业科学院院进行，针对组织培养过程中繁殖系数低、生根率和移栽成活率低，没有形成规模化生产，达不到规模效益等问题造成生产成本高的原因进行研究，完善组培苗的生产技术工艺，对苹果砧木工厂化育苗技术体系进行了优化调整，建立起了一套实用性强的高效工厂化育苗技术体系从而有效地降低单株成本。

In the study, the quality of solutions of l1 optimization can be enhanced further by changing the singular values of the measurement matrix with QR factorization.

本文研究了L1算法的重构效果，通过改变测量矩阵的奇异值能够提高算法的重构效率。

The major merit of LU decomposition with spectral factorization is its efficiency in dealing with a large number of matrixes.

但是，谱法LU分解忽略了矩阵分解中列与列之间联系，带来的误差是不容忽视的。

Its decomposition errors is 10 times little than that of spectral factorization, and its decomposition speed is quite faster than that of direct elimination, especially in dealing with a large number of matrix.

混合方法与谱法相比，在非均匀介质中的矩阵分解时提高精度近10倍；在计算速度方面，混合方法也远比直解法快，特别在处理大量矩阵分解的时候，这一优势更明显。

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。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。