isomorphism (Meaning)
isomorphism (n)
(biology) similarity or identity of form or shape or structure
isomorphism (n.)
A similarity of crystalline form between substances of similar composition, as between the sulphates of barium (BaSO4) and strontium (SrSO4). It is sometimes extended to include similarity of form between substances of unlike composition, which is more properly called homoeomorphism.
Synonyms & Antonyms of isomorphism
No Synonyms and anytonyms found
isomorphism Sentence Examples
- In mathematics, an isomorphism is a structure-preserving map between two algebraic structures.
- Two mathematical structures are isomorphic if there exists an isomorphism between them.
- Isomorphism is a fundamental concept in abstract algebra and is used to classify algebraic structures.
- The study of isomorphisms and their properties is known as isomorphism theory.
- Isomorphism is a powerful tool for proving theorems and solving problems in abstract algebra.
- The concept of isomorphism has been generalized to other areas of mathematics, such as topology and geometry.
- In graph theory, an isomorphism is a one-to-one correspondence between the vertices of two graphs that preserves adjacency.
- Isomorphisms are used in computer science to represent and manipulate data structures.
- In linguistics, an isomorphism is a one-to-one correspondence between the elements of two languages that preserves meaning.
- Isomorphism is a key concept in category theory, which is a branch of mathematics that studies abstract structures and their relationships.
FAQs About the word isomorphism
(biology) similarity or identity of form or shape or structureA similarity of crystalline form between substances of similar composition, as between the sulphat
No synonyms found.
No antonyms found.
In mathematics, an isomorphism is a structure-preserving map between two algebraic structures.
Two mathematical structures are isomorphic if there exists an isomorphism between them.
Isomorphism is a fundamental concept in abstract algebra and is used to classify algebraic structures.
The study of isomorphisms and their properties is known as isomorphism theory.
