nonisomorphism
|non-is-o-morph-ism|
🇺🇸
/ˌnɑn.aɪˈsɑməˌfɪzəm/
🇬🇧
/ˌnɒn.aɪˈsɒməˌfɪzəm/
not isomorphic / different structure
Etymology
'nonisomorphism' originates from English, specifically formed from the prefix 'non-' and the word 'isomorphism', where 'non-' meant 'not' and 'isomorphism' ultimately comes from Greek 'isomorphos' (from 'iso-' meaning 'equal' and 'morphē' meaning 'form').
'isomorphism' entered scientific English in the 19th century (via German 'Isomorphismus' and New Latin 'isomorphismus') and was later combined with the English negating prefix 'non-' to form 'nonisomorphism' in modern mathematical usage.
Initially the root 'isomorphism' referred to 'having the same form' or 'structural sameness'; over time the prefixed form 'nonisomorphism' came to denote the opposite concept, the 'lack of structural equivalence' between objects.
Meanings by Part of Speech
Noun 1
the property or condition of two mathematical structures not being isomorphic; the lack of an isomorphism between them (i.e., they do not have the same structure up to isomorphism).
The nonisomorphism of the two graphs was established by comparing their degree sequences and connected components.
Synonyms
Antonyms
Noun 2
(Count noun, usage) A statement or instance showing that two specific structures are not isomorphic (e.g., 'a nonisomorphism between A and B').
The paper presented a clear nonisomorphism between the two algebraic systems by exhibiting different invariants.
Synonyms
Antonyms
Last updated: 2025/09/28 11:52