isomorphic background

isomorphic

/ˌaɪ.səˈmɔː.fɪk/ /ˌaɪ.soʊˈmɔɹ.fɪk/

Illustration isomorphic - Image 1

adjective

同构的，结构相同的。

Related by an isomorphism; having a structure-preserving one-to-one correspondence.

Examples :

""Even though the online class and the in-person class use different software, their underlying structures for grading and assignments are isomorphic." "

即使在线课程和线下课程使用了不同的软件，它们在评分和作业方面的基本结构却是同构的/结构相同的。

math structure logic system science

Illustration isomorphic - Image 1

adjective

同构，同形。

Having a similar structure or function to something that is not related genetically or through evolution.

Examples :

"Although a beaver's dam and a human-built dam are created in very different ways, their final structure and function of controlling water flow are surprisingly isomorphic. "

尽管水獭建造的水坝和人类建造的水坝方式截然不同，但它们最终控制水流的结构和功能却惊人地相似 (同构/同形).

biology science structure function

Illustration isomorphic - Image 1

adjective

同构，结构相同，同态。

Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.

Examples :

""Even though the seating arrangement in the new classroom looks different, the class structure, with the teacher leading and students learning, is isomorphic to the structure in the old classroom." "

虽然新教室的座位安排看起来不一样，但课堂的结构，比如老师主导教学和学生学习的方式，和旧教室的结构是同构的，本质上是一样的。

math science structure system logic technical