Isomorphic

/ˌaɪ.səˈmɔːr.fɪk/

समरूप; समान संरचना/रूप वाला

Origin & History

From Greek isos “equal” + morphē “form, shape”; popularized in scientific and mathematical usage in the 19th century.

ग्रीक isos “समान” + morphē “रूप/आकृति” से; 19वीं शताब्दी में वैज्ञानिक और गणितीय प्रयोग में व्यापक रूप से प्रचलित हुआ।

Definition

Isomorphic describes two things that share the same structure or form, even if the elements or labels differ; in mathematics it often means a structure-preserving correspondence (an isomorphism) between two systems.

Isomorphic उन दो वस्तुओं/संरचनाओं का वर्णन करता है जिनकी बनावट या संरचना समान हो, भले ही उनके अवयव या नाम अलग हों; गणित में इसका अर्थ अक्सर दो प्रणालियों के बीच संरचना-संरक्षक अनुरूपता (isomorphism) होता है।

Parts of Speech

Adjective:
The two graphs are isomorphic, so they have the same connectivity pattern.
दोनों ग्राफ़ समरूप (isomorphic) हैं, इसलिए उनकी संयोजकता (कनेक्टिविटी) का पैटर्न समान है।

Usage Examples

In abstract algebra, two groups can be isomorphic even if their elements are different.
These two molecular structures are isomorphic under a suitable mapping of atoms.
The database schemas are isomorphic, making migration straightforward.
Many problems become easier when we show they are isomorphic to a well-understood model.

Synonyms

Structurally identical Structure-preserving Corresponding Equivalent (in structure) Homomorphic (loosely, in some contexts)

Antonyms

Nonisomorphic Heteromorphic Dissimilar Non-equivalent

Related Forms

Noun
Isomorphism / Isomorph / Isomorphy
Verb
Isomorphize / Isomorphise / Isomorphizing / Isomorphised / Isomorphized
Adjective

Idioms & Phrases

Isomorphic to
के समरूप (होना)