Isomorphism vs Isomorph - What's the difference?

isomorphism | isomorph |


As nouns the difference between isomorphism and isomorph

is that isomorphism is similarity of form while isomorph is anything that exhibits isomorphism.

isomorphism

English

Noun

(en noun)
  • Similarity of form
  • * 1984 Brigitte Asbach-Schnitker, "Introduction", Mercury or The Secret and Swift Messenger , ISBN 9027232768.
  • The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.
    :
  • (biology) the similarity in form of organisms of different ancestry
  • :
  • (chemistry) the similarity in the crystal structures of similar chemical compounds
  • :
  • * 1874 C. Rammelsberg, "Crystallographic and chemical relations of the natural sulphides, arsenides, and sulpharsenides", The Chemical News and Journal of Physical Science , page 197.
  • :
    The isomorphism' of compounds does not prove the ' isomorphism of their respective constituents.
    :
  • (sociology) the similarity in the structure or processes of different organizations
  • :  2.  A one-to-one correspondence :
  • (group algebra) A bijection f'' such that both ''f'' and its inverse ''f  −1 are homomorphisms, that is, structure-preserving mappings.
  • :
  • (computer science) a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets
  • :
  • (category theory) A morphism which has an inverse; the composition of the morphism and its inverse yields either one of two identity morphisms (depending on the order of composition).
  • Abbreviations

    * (in category theory) iso

    isomorph

    English

    Noun

    (en noun)
  • Anything that exhibits isomorphism
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