Definitions for isomorphy
iso·mor·phy

Princeton's WordNetRate this definition:0.0 / 0 votes

1. isomorphism, isomorphynoun

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

WikipediaRate this definition:0.0 / 0 votes

1. isomorphy

   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. isomorphy

   Isomorphy, in mathematics, refers to the concept of exactly identical structures between two objects, often referred to as isomorphic structures. Isomorphism can occur in various mathematical structures such as sets, groups, vector spaces or graphs. It is a bijective map (one-to-one correspondence) between two structures that preserves the operations or relations of the structures. Thus, an isomorphism allows treating the two structures as identical for all practical purposes within the framework of the given theory.

How to pronounce isomorphy?

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 isomorphy in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of isomorphy in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of isomorphy in Pythagorean Numerology is: 3

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=isomorphy
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Isomorphy
3. ^ ChatGPT
   https://chat.openai.com