What does isomorphous mean?
Definitions for isomorphous
ˌaɪ səˈmɔr fəsiso·mor·phous
This dictionary definitions page includes all the possible meanings, example usage and translations of the word isomorphous.
Princeton's WordNet
isomorphous, isomorphicadjective
having similar appearance but genetically different
Wiktionary
isomorphousadjective
Of, relating to, or exhibiting isomorphism.
Wikipedia
isomorphous
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.
ChatGPT
isomorphous
Isomorphous refers to the similarity or correspondence in form or structure between different entities, particularly crystalline substances, due to a similar arrangement of atoms or molecules. This term is also used in biology referring to species that have closely similar structures or shapes. In the field of mathematics, it refers to something having the same or similar relation, structure, or mathematical property.
Webster Dictionary
Isomorphousadjective
having the quality of isomorphism
Etymology: [Iso- + -morphous.]
Entomology
Isomorphous
having the same form, appearance or construction.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of isomorphous in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of isomorphous in Pythagorean Numerology is: 6
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"isomorphous." Definitions.net. STANDS4 LLC, 2024. Web. 15 May 2024. <https://www.definitions.net/definition/isomorphous>.
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