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The classification of primes in the doubly stochastic circulant matrices is now explored.

本文研究了双随机循环矩阵中素元的分类问题。

The nature of the sums, inverses,products, eigenvalus and the determinant of Circulant matrices is also very good.

循环矩阵的逆矩阵、乘积矩阵、和矩阵和行列式等的性质也很优良。

Circulant matrices are often used as preconditioner for Toeplitz linear ...

循回矩阵通常用作Toeplitz线性系统的预处理矩阵，因为循回矩阵很容易求逆和有超快速的计算方法。

The circulant structure of the circulant matrices provides an effective method for the stability analysis of the switched hypercycle systems.

循环矩阵的循环结构为研究切换超循环系统的稳定性提供了有效的方法，给出切换线性时变超循环系统在任意切换律下渐近稳定的充要条件和切换线性定常超循环系统可切换镇定的充分条件。

Chapter 3 considers completion ofinverse M-matrices and its closure property under Hadamard product.

第三章研究了逆M-矩阵的完成和在Hadamard 积的封闭性问题。

Only two papers known to the author discussed the possible relationship between the estimates of Km and Vmax. Colquhoun (196 9) found a strong positive correlation between these estimates in a simulation study. Subsequently, Oliver (1970) examined this relationship by the asymptotic variance-covariance matrices. These simulation and mathematical analyses were based on the assumption that the substrate concentration is error-free, with the error confined to the reaction velocity. In addition, their work was confined to the several estimation methods.

就作者所知，在本研究发表之前仅有两篇文章讨论过估计值之间的相关性。1969年，Colquhoun通过计算机仿真，发现了估计值之间存在正相关关系，1970年，Oliver用渐近方差-协方差矩阵检验了这一点，但是他们的发现有很大的局限性，其一是限于仅反应速度的测量值有误差这一种情况，其二是限于某几种估计方法。

Such perturbations might be effected by square, pairwise comparison matrices, one per column of each data matrix.

这样扰动也许由正方形， pairwise 比较矩阵，一个影响每各个数据矩阵专栏。

As an application, we also describe the Jordan automorphisms of the algebra of upper triangular matrices over commutative rings, and give a sufficient and necessary condition for a commutative ring being connected.

作为应用，我们还刻划了交换环上的上三角矩阵代数的Jordan自同构，并给出了一个交换环是连通环的充要条件。

We prove that the Jordan semi-triple derivable maps of the algebra of all n×n matrices over a 2-torsion free commutative ring with unity is the sum of an inner derivation and A_φ, where A_φis the image of A underφapplied entrywise andφis an additive derivation over R.

证明了作用在一个包含单位元的可交换的2-无挠环上的矩阵代数上的拟三重Jordan可导映射是一个内导子与A_φ的和(这里A_φ是A在φ下逐点作用的像)。

Keep in mind that, as is the case with matrices, quaternion multiplication is not commutative!

紧记，矩阵在此种情况下，四元数的乘法是不可进行交换的。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。