Looking up...
isomorphic
/ˌaɪsəˈmɔrfɪk/
structurally identical
The two graphs are isomorphic because their nodes and edges can be matched one-to-one without changing their connections.
The graphs share the same structure despite different representations.
technical
Having a one-to-one correspondence between elements that preserves structure
In group theory, two groups are isomorphic if there exists a bijective homomorphism between them.
The groups share identical algebraic properties despite different elements.
The isomorphic mapping between the datasets ensured consistent data relationships.
The datasets were structurally equivalent after transformation.
Commonly used in abstract algebra, graph theory, and category theory to describe structural equivalence.
technical
Of or relating to isomorphism
The isomorphic JavaScript framework allows server and client code to share the same logic.
The framework enables identical code execution across different environments.
In computing, often refers to code that can run in multiple contexts without modification.
Collocations
isomorphic structurea structure that maintains identical relationships between componentsisomorphic mappinga one-to-one correspondence that preserves relationships
Related Phrases
Pro Tip
Distinguish from 'homomorphic'
'Isomorphic' implies a perfect one-to-one correspondence with preserved structure, while 'homomorphic' allows for many-to-one mappings that preserve operations but not necessarily all properties.
Gold Rule
Isomorphic vs. identical
Two objects are isomorphic if their structures match, even if their elements differ. They are identical only if every element and relationship is exactly the same.
Word Origin
From Greek 'isos' (equal) + 'morphē' (form), via French 'isomorphe' (19th century). First used in crystallography before adoption in mathematics.
Usage Notes
Primarily used in technical contexts. Avoid in casual conversation where simpler terms like 'identical' or 'same' would suffice. The noun form 'isomorphism' is more commonly used in definitions.
Word Breakdown
iso-
equal or identical
prefix-morphic
having form or structure
suffixEnglish Dictionary