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- According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring,the linear block code for multiplexing systems is proposed. 依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。
- Theorem 1 The sum of finite number of infinitesimal is an infinitesimal. 定理1有限个无穷小的和也是无穷小。
- First, the method for constructing linear stego-codes is proposed by using the direct sum of vector subspaces. 利用线性空间的直和分解得到了一种线性隐写码的构造方法。
- The nilpotency of finite groups was studied by the properties of semidirect product,and some good results were got. 通过半直积的性质来研究有限群的幂零性,并得到一些好的结果。
- This paper studies problem of the average length of conjugacy classes of finite groups. 摘要本文研究有限群元素共轭类的平均长度问题。
- In practice, finite series or sum of finite terms of weighted harmonics can be an approximation for any piece wise continuous function in a period. 应用上则可以用有限项谐波级数近似合成一周期内为片段连续之任何周期函数。
- Amodule homomorphism can be decomposed kniquely a sum of homomorphisms between some submodules for a give module which is the direct sum of its submodules. 环上的（左或右）模在表成子模的直和时，其上的模同态可以分解为子模之间的模同态和。
- Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups. 建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
- By the properties of CI-section for maximal subgroups of G, the solvability of normal subgroup H of finite group G were investigated. 摘要应用有限群极大子群的CI-截性质，讨论有限群G之正规子群H的可解性，得到4个重要结论。
- By using NE-subgroup, some new criteria are given for the nilpotency and solvability and supersolvability of finite groups. 给出了有限群的幂零性、超可解性和可解性的一些新的刻画。
- I had to spend a large sum of money to get it back. 我得花一大笔钱才把它弄回来。
- The spectral decomposition is given. Secondly, the singular g-circulant matrices are similar to the direct sum of some diagnal matrices and some nilpotency of Jordan blocks when (n,g)=1. Further, the nilpotency index of Jordan block is defined. 其次 ,当 (n ,g) =1时 ,给出了n级奇异g 循环矩阵相似于某些对角阵和某些幂零Jordan块的直和 ,进一步给出了其中幂零Jordan块的幂零指数的计算法
- In this paper we will study how abelian subgroups influent the structure of finite groups,there are four sections in our results. 本文的目的是研究交换子群对有限群结构的影响，主要结果共分四个部分。
- In this paper,the devivation algebra Dery of Lie algebra is given,y which is thd direct sum of a Heisenbery algebra H and an abelian &. It is proved that Dery id a simple complete Lie algebra. 文中给出了一个Heisenberg代数与一个交换Lie代数的直和的导子代数，证明了给出的导子代数为一个单完备Lie代数
- Using some conjugate-permutable subgroups of a group and the minimal counterexample method,the nilpotency of finite groups is investigated. 利用群的某些共轭置换子群及极小阶反例法,研究了有限群的幂零性问题,并获得了一个群为幂零的若干充分条件。
- They paid me the princely sum of USD5000. 他们慷慨地给我5000美元。
- Su Xiang Ying and Wang Pin Chao obtained some sufficient conditions of supersoluble groups by studying semi normal subgroups of finite groups[1,2,7]. 文献[1]引入的半正规子群;对有限群结构有重要的影响[1;2;7].;从多个方面对这一问题进行了更深入讨论;所得结果推广了前人的一些工
- He deposits a sum of money in the bank each month. 他每月在银行存一笔钱。
- We give a short proof of the main theorem of the paper "On complemented subgroups of finite groups,chin.Ann of Math,22B:2(2000),249-254",and generalile it to formation. “给出文Oncomplementedsubgroupsoffinitegroups;Chin .;Ann
- A sum of money paid as bail or surety. 保证金用作保释金或保证金的钱
