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cyclic group
[ˈsaɪklɪk ɡruːp]

  • 循环群:在代数学中,循环群是一种特殊类型的群,由一个元素及其幂次生成。循环群具有简单的结构,是群论中的基本概念。

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  [数] 循环群

循环群(cyclic group):若群G的每一个群元都是G的某一固定群元素a 的幂   a G e ,a ,..

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短语

finite cyclic group 有限循环群

loxodromic cyclic group 斜驶循环群

elliptic cyclic group [数] 椭圆循环群

infinite cyclic group [数] 无限循环群

regular cyclic group [数] 正规循环群

continuous cyclic group 连续循环群

Fuzzy cyclic group Fuzzy循环群

free cyclic group 自由循环群

cyclic group affine 仿射循环群

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  • 循环群 - 引用次数:8

    We prove: In a non-cyclic group, if the number of non-power subgroups is finite, then the group is finite.

    证明了如果非循环群的非幂子个数有限,那么它就是有限

    参考来源 - 群的共轭性质与可分性质
  • 循环群 - 引用次数:3

    Prime group must be cyclic group. So it is widely used in Cryptography.

    素数阶必是循环群且除单位元之外皆为生成元,故在基于离散对数的密码系统中有重要的应用。

    参考来源 - 素域F

·2,447,543篇论文数据,部分数据来源于NoteExpress

Cyclic group

  • abstract: In algebra, a cyclic group is a group that is generated by a single element, in the sense that every element of the group can be written as a power of some particular element g in multiplicative notation, or as a multiple of g in additive notation. This element g is called a "generator" of the group.

以上来源于: WordNet

双语例句

  • The outer automorphism group of the free product of two cyclic groups is constructed, and two exact formulas for calculating its order are established.

    具体地构造两个有限循环自由同构给出了计算公式

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  • Conclusions: Under static and cyclic bending conditions, stiffness in group 2 was significantly lower than that in group 1.

    结论静态循环载荷条件下第二抗弯刚度明显小于第一组。

    youdao

  • The results showed that the properties of additives with branched group and cyclic hydrocarbon were excellent.

    结果表明环状结构添加剂极压抗磨性能最好。

    youdao

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