isomorphic

IPA(Pronunciation)

/ˌaɪ.səˈmɔː.fɪk/

Adjective

not-comparable

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

Japanese Meaning

同型の。数学において、構造を保つ一対一の対応（同型写像）により関連づけられた性質を持つさま。

What is this buttons?

Although the graphs look different visually, they are isomorphic after a relabeling of the vertices.

Google Translation / DeepL Translation

見た目は異なって見えても、頂点のラベルを付け替えればそれらのグラフは同型である。

Details

Sense（1）

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

Let A, B be the ordered sets in Figure 10.3. Let C be the direct product of infinitely many copies of the two element chain 2. Then A^C is isomorphic to B^C, but A is not isomorphic to B.

Google Translation / DeepL Translation

Details

Sense（2）

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

Details

Sense（3）

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

For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.

Google Translation / DeepL Translation