isomorphic

[ahy-suh-mawr-fik]

isomorphic Definition

• 1. corresponding or similar in form and relations
• 2. having a one-to-one correspondence
• 3. able to be mapped or transformed onto each other

Using isomorphic: Examples

Take a moment to familiarize yourself with how "isomorphic" can be used in various situations through the following examples!

• Example

  The two graphs are isomorphic.

• Example

  The two languages have isomorphic syntax.

• Example

  The two structures are isomorphic under the mapping.

• Example

  The two mathematical systems are isomorphic.

isomorphic Synonyms and Antonyms

Synonyms for isomorphic

• equivalent
• corresponding
• homologous
• analogous
• parallel

Antonyms for isomorphic

• dissimilar
• unequivalent
• nonisomorphic

Phrases with isomorphic

• isomorphic correspondence

  a one-to-one correspondence between two sets that preserves the structure of the sets

  Example

  The isomorphic correspondence between the two groups was established.

• isomorphic transformation

  a transformation that preserves the structure of the object being transformed

  Example

  The isomorphic transformation of the graph was used to simplify the problem.

• isomorphic graph

  two graphs that have the same number of vertices and edges, and the same connectivity between vertices

  Example

  The isomorphic graph was used to represent the problem.

Origins of isomorphic

from Greek 'isos' meaning 'equal' and 'morphē' meaning 'form'

📌

Summary: isomorphic in Brief

The term 'isomorphic' [ahy-suh-mawr-fik] describes things that are similar in form and relations, having a one-to-one correspondence. It can refer to anything from graphs and mathematical systems to languages and structures. Examples include 'The two graphs are isomorphic,' and 'The two structures are isomorphic under the mapping.'