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Isomorphic

[ahy-suh-mawr-fik] /ˌaɪ səˈmɔr fɪk/

1.
Biology. different in ancestry, but having the same form or appearance.
2.
Chemistry, Crystallography. .
3.
Mathematics. pertaining to two sets related by an .
/ˌaɪsəʊˈmɔːfɪk/
1.
exhibiting isomorphism

1862, from iso- + Greek morphe (see Morpheus).

isomorphic i·so·mor·phic (ī’sə-môr’fĭk)

mathematics
Two mathematical objects are isomorphic if they have the same structure, i.e. if there is an isomorphism between them. For every component of one there is a corresponding component of the other.
(1995-03-25)

Tagged:

• Isomorphic response

isomorphic response n. See Köbner’s phenomenon.

• Isomorphism

[ahy-suh-mawr-fiz-uh m] /ˌaɪ səˈmɔr fɪz əm/ noun 1. the state or property of being or . 2. Mathematics. a one-to-one relation onto the map between two sets, which preserves the relations existing between elements in its domain. /ˌaɪsəʊˈmɔːfɪzəm/ noun 1. (biology) similarity of form, as in different generations of the same life cycle 2. (chem) […]

• Isomorphism class

mathematics A collection of all the objects isomorphic to a given object. Talking about the isomorphism class (of a poset, say) ensures that we will only consider its properties as a poset, and will not consider other incidental properties it happens to have. (1995-03-25)

• Isomorphous

[ahy-suh-mawr-fuh s] /ˌaɪ səˈmɔr fəs/ adjective, Chemistry, Crystallography. 1. (of a compound or mineral) capable of crystallizing in a form similar to that of another compound or mineral, used especially of substances so closely related that they form end members of a series of solid solutions.

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