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Doubly stochastic circulant matrix ; shift ; prime matrix

双随机循环矩阵；移位；素元

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

This article is divided into three parts:I: It gives the relevant background knowledge, mainly about the study of circulant matrices at home and abroad, the basic concepts, characteristics of circulant matrices, and the basic computing instruments which have been frequently used in matrix theory and matrix calculations.

本文共分三个部分：一：给出相关的预备知识，主要是循环矩阵研究的国内外现状和进展、文中用到的循环矩阵的基本概念、性质以及在矩阵理论和矩阵计算中经常用到基本运算工具。

You could just use a cloner object, but we are going to be linking multiple cloner objects from this matrix object, so if we need to change any of the characteristics of the matrix object, it will update in both of our cloner objects.

这个矩阵物体将用来简化我们控制克隆物体间距与数量所需要的操作。

There are four kinds of fracture ways of 7075/SiC composite under high-temperature compression, which are the evulsions of SiC from the matrix due to forming cavity near the interface and intensive phase , ductile fracture of the matrix due to the nucleation of cavity near the interface , the fracture near SiC particulate coacervate and brittle fracture of the SiC particulate.

喷射沉积7075/SiC复合材料高温压缩时的断裂方式主要有四种，即空洞在增强相与基体界面处形成而出现增强相从基体中拔出的现象、空洞在基体中形核长大而引起基体的延性断裂、颗粒团聚处的断裂和颗粒的脆性断裂。

These problems include the selfadjointness of the coefficient matrix operator, the functional of the matrix operator equation, the equivalence between variational problem and boundary value problem of eddy-current fields, and the extreme value principle of the functional.

本文首先从求解时谐涡流场的〓-ψ法与〓-Ω法的矩阵算子方程出发，提出了时谐涡流场的统一矩阵算子方程，进而系统地讨论了该方程的系数矩阵算子的自伴性、矩阵算子方程的泛函、涡流场边值问题与对应变分问题的等价性以及泛函的极值原理。

The Greenfield algorithm has been renewedly designed .It is a fast algorithm for solving linear algebra equation group of coefficient matrix for nubby tri-diagonal symmetrical matrix.

研究了电磁场有限元法解释的串行计算的算法和软件实现、并行计算的算法和软件实现，给出了电磁法有限元法解释计算任务并行的划分和分治，解决了有关并行计算的负载均衡技术，合理地给出了算法的粒度选取。

Finally, each column of response matrix by modulated wavelength is normalized, and an accurate control matrix is obtained.

最后，对每个Zernike模式，即响应矩阵的每一列对相应的调制波长进行归一化，最终得到准确的控制矩阵。

The matrix contains a row for each cause and effect. Each column of the matrix contains 0's, 1's and blanks specifies a test case which is a combination of the causes and effects.

矩阵中，每一行由原因和结果组成，而每一列则是由一些0、1或者空位组成，它们对应着由一系列原因和结果组合而成的测试用例。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。