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- matrix over semiring 半环上的矩阵
- The concept of semialgebra is given,then the realitionship between the additive can-cellation semialgebras with triviality congruence and algebras over semiring. 给出半环上半代数的概念;证明了半环上加法可消半代数;且只有非平凡同余;那么该半代数是半环上的代数.
- It is studied factorizing a matrix over quaternion field to the product of two self-conjugate matrices. And some useful results are obtained. 摘要研究了四元数矩阵分解为两个自共轭矩阵乘积,其中有一个是非奇异阵的条件,得到了一些有用的结果。
- ANK OF MATRICES OVER SEMIRINGS AND INVERTIBLE CONDITIONS FOR MATRICES OVER INCLINES 半环上矩阵的秩和坡上矩阵可逆的条件
- Let R be an abelian ring (all idempotents of R lie in the center of R), and A be an idempotent matrix over R. The following statements are proved: (a). 设R是一阿贝尔环(R的所有益等元都在中心里),A是R上的一幂等阵·本文证明了以下结果:(a)A相抵于一对角阵当且仅当A相似于一对角阵;
- In this paper,we prove some characterizations of the EP_r matrix,the EGP_r matrix,and normal EP matrix over a skew field with an involution. 本文证得了对合体上 EPr 矩阵、EGPr 矩阵、正规 EP 矩阵的某些刻划。
- A proof that any row-column-finite infinite matrix over a sfield is normal equivalent with an unique classical form is given. 摘要证明了除环上每个行列有限的无限方阵必与唯一的正则范式正则等价。
- See invertible matrix for more.More generally, a square matrix over a commutative ring R is invertible if and only if its determinant is invertible in R. 更一般地,一元素在一可交换环R内的方阵是可逆的若且唯若其行列式在R是可逆的。
- Several properties of adjoint matrix over an arbitrary ring and obtain some results over domain are given. It is a further generalization of the results over an arbitrary field. 摘要讨论了交换环上伴随矩阵的若干性质,给出了整环上的一个主要结论。这些结果均推广了域上的结论。
- A Property of Matrices Over a Commutative Semiring 交换半环上矩阵的一个性质
- A new algorithm to compute the inverse of a nonsingular r circulant matrix over any one number field is presented by Euclidean algorithm. The algorithm does not need to compute the triangular function and has little count of work. 利用欧几里德算法给出了任意数域上非奇异 r -循环矩阵求逆矩阵的一个新算法 ,该方法不需要计算三角函数并且具有很少的计算量
- He tried to varnish over the truth with a lie. 他试图用谎言来掩盖真相。
- I've got the hump over what he said to me. 我已经对他所说的很不耐烦了。
- She threw a scarf over her shoulders. 她在肩上披上一块肩巾。
- The boat heeled over in a strong wind. 船在强风吹袭下倾侧了。
- Corank and normal equivolent of Infinite Matrices over a sfield are difined, and a proof that any row-column-finite infinite matrix over a sfield is existence and unique is given. 摘要定义了除环上无限方阵的余秩和正则等价,证明了除环上每个行列有限的无限方阵的余秩存在且唯一。
- They all cooed over the new baby. 他们对着新生婴儿爱抚地轻声细语。
- The dog kept a vigilant guard over the house. 这只狗警惕地守护着这所房屋。
- Discussed the existance of group inverses of product of two matrices over skew field,and get some new results. 讨论体上2个矩阵乘积的群逆的存在性;得到了几个新结果.
- She worried over her father's health. 她为父亲的健康担忧。