isomorphism Sentence Examples

1. In mathematics, an isomorphism is a structure-preserving map between two algebraic structures.
2. Two mathematical structures are isomorphic if there exists an isomorphism between them.
3. Isomorphism is a fundamental concept in abstract algebra and is used to classify algebraic structures.
4. The study of isomorphisms and their properties is known as isomorphism theory.
5. Isomorphism is a powerful tool for proving theorems and solving problems in abstract algebra.
6. The concept of isomorphism has been generalized to other areas of mathematics, such as topology and geometry.
7. In graph theory, an isomorphism is a one-to-one correspondence between the vertices of two graphs that preserves adjacency.
8. Isomorphisms are used in computer science to represent and manipulate data structures.
9. In linguistics, an isomorphism is a one-to-one correspondence between the elements of two languages that preserves meaning.
10. Isomorphism is a key concept in category theory, which is a branch of mathematics that studies abstract structures and their relationships.

isomorphism Meaning

Wordnet

isomorphism (n)

(biology) similarity or identity of form or shape or structure

Webster

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

FAQs About the word isomorphism

What is the meaning of 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

What are the synonyms of the word isomorphism

No synonyms found.

What are the antonyms of the word isomorphism

No antonyms found.

What is the usage of word isomorphism

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.

How to use the word isomorphism in a sentence?

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.