Definitions for isomorphic
ˌaɪ səˈmɔr fɪkiso·mor·phic

Princeton's WordNetRate this definition:0.0 / 0 votes

1. isomorphous, isomorphicadjective

   having similar appearance but genetically different

GCIDERate this definition:0.0 / 0 votes

1. Isomorphicadjective

   Of or pertaining to sets related by an isomorphism.

WiktionaryRate this definition:0.0 / 0 votes

1. isomorphicadjective

   having a similar structure to something that is not related genetically

2. isomorphicadjective

   related by an isomorphism

WikipediaRate this definition:0.0 / 0 votes

1. isomorphic

   In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. The word isomorphism is derived from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape". The interest in isomorphisms lies in the fact that two isomorphic objects have the same properties (excluding further information such as additional structure or names of objects). Thus isomorphic structures cannot be distinguished from the point of view of structure only, and may be identified. In mathematical jargon, one says that two objects are the same up to an isomorphism.An automorphism is an isomorphism from a structure to itself. An isomorphism between two structures is a canonical isomorphism (a canonical map that is an isomorphism) if there is only one isomorphism between the two structures (as it is the case for solutions of a universal property), or if the isomorphism is much more natural (in some sense) than other isomorphisms. For example, for every prime number p, all fields with p elements are canonically isomorphic, with a unique isomorphism. The isomorphism theorems provide canonical isomorphisms that are not unique. The term isomorphism is mainly used for algebraic structures. In this case, mappings are called homomorphisms, and a homomorphism is an isomorphism if and only if it is bijective.

ChatGPTRate this definition:0.0 / 0 votes

1. isomorphic

   Isomorphic refers to two structures that are identical in terms of their form or nature. This concept is used across numerous fields such as mathematics, biology, computer science, and chemistry. Generally, it pertains to the concept that elements can be mapped or transformed from one structure to another in a way that preserves the original relationships or properties. An isomorphism thus maintains the fundamental characteristics of the structure while allowing for the transformation or transitions between different entities or systems.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Isomorphicadjective

   isomorphous

Matched Categories

1. • Biology

How to pronounce isomorphic?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say isomorphic in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of isomorphic in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of isomorphic in Pythagorean Numerology is: 8

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=isomorphic
2. ^ GCIDE
   https://gcide.gnu.org.ua/?q=isomorphic
3. ^ Wiktionary
   https://en.wiktionary.org/wiki/Isomorphic
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Isomorphic
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/isomorphic