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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。

专业释义英英释义

  • 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

    youdao

  • 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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