isomorphism
[ ahy-suh-mawr-fiz-uh m ]
/ ˌaɪ səˈmɔr fɪz əm /
noun
the state or property of being isomorphous or isomorphic.
Mathematics.
a one-to-one relation onto the map between two sets, which preserves the relations existing between elements in its domain.
Origin of isomorphism
First recorded in 1820–30;
isomorph(ous) +
-ism
Words nearby isomorphism
isometropia,
isometry,
isomorph,
isomorphic,
isomorphic response,
isomorphism,
isomorphous,
isoneph,
isoniazid,
isonicotinic acid hydrazide,
isonome
Example sentences from the Web for isomorphism
British Dictionary definitions for isomorphism
isomorphism
/ (ˌaɪsəʊˈmɔːfɪzəm) /
noun
biology
similarity of form, as in different generations of the same life cycle
chem
the existence of two or more substances of different composition in a similar crystalline form
maths
a one-to-one correspondence between the elements of two or more sets, such as those of Arabic and Roman numerals, and between the sums or products of the elements of one of these sets and those of the equivalent elements of the other set or sets
Medical definitions for isomorphism
isomorphism
[ ī′sə-môr′fĭz′əm ]
n.
A similarity in form, as in organisms of different ancestry.
A close similarity in the crystalline structure of two or more substances of similar chemical composition.
Other words from isomorphism
i′so•mor′phous adj.Scientific definitions for isomorphism
isomorphism
[ ī′sə-môr′fĭz′əm ]
Similarity in form, as in organisms of different ancestry.
A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.
A close similarity in the crystalline structure of two or more substances of different chemical composition. Isomorphism is seen, for example, in the group of minerals known as garnets, which can vary in chemical composition but always have the same crystal structure.