同构群英文解释翻译、同构群的近义词、反义词、例句
英语翻译：
【计】 isomorphic group
分词翻译：
同的英语翻译：
alike; be the same as; in common; same; together
【医】 con-; homo-
构的英语翻译：
compose; construct; fabricate; form; make up
【机】 groove
群的英语翻译：
bevy; caboodle; clot; cluster; covey; flock; gang; group; horde; knot; swarm
throng; troop
【医】 group; herd
网络扩展解释
同构群
同构群（tóng gòu qún）是一个数学术语，它指的是两个或多个结构相似的代数系统之间的同构关系。在群论中，同构群是指具有相同群结构的两个群。这种同构关系保持了群的性质和运算。
Isomorphism Group
Isomorphism group is a mathematical term that refers to the isomorphism relationship between two or more algebraic systems with similar structures. In group theory, an isomorphism group refers to two groups that have the same group structure. This isomorphism relationship preserves the properties and operations of the group.
Pronunciation of "Isomorphism Group"
[ahy-suh-mawr-fiz-uhm groop]
Usage of "Isomorphism Group"
In mathematics, the concept of isomorphism group is used to study the similarities between different algebraic systems. It helps us understand the properties and operations of groups by comparing their structures.
Example Sentences
1. The isomorphism group of the cyclic group Z/nZ is isomorphic to the multiplicative group of integers modulo n.
(同余群Z/nZ的同构群与模n的整数乘法群同构。)
2. The isomorphism group of a graph can reveal its symmetries and structural properties.
(图的同构群可以揭示其对称性和结构特征。)
Synonyms of "Isomorphism Group"
- Homomorphism group: 同态群
- Automorphism group: 自同构群
Antonyms of "Isomorphism Group"
- Non-isomorphism group: 非同构群
Word Frequency of "Isomorphism Group"
The term "isomorphism group" has a low word frequency due to its specialized usage in mathematics.
"同构群"作为一个数学术语，在日常使用中的词频较低。