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## cyclic group 美 [ˈsaɪklɪk ɡruːp]

• [数] 循环群

### 网络释义专业释义英英释义

[数] 循环群

循环群英语

... 循环维护操作系统英语 【计】 loop maintenance operation system 循环群英语 【计】 cycle group; cyclic group 循环通道英语 【计】 cycle channel ...

finite cyclic group 有限循环群

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

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.

### 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

• 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。

• 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。

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