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isomorphic sets

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  • Isomorphic — I so*mor phic, a. 1. Isomorphous. [1913 Webster] 2. (Biol.) Alike in form; exhibiting isomorphism. [Webster 1913 Suppl.] 3. Of or pertaining to sets related by an isomorphism. [PJC] …   The Collaborative International Dictionary of English

  • isomorphic — /uy seuh mawr fik/, adj. 1. Biol. different in ancestry, but having the same form or appearance. 2. Chem., Crystall. isomorphous. 3. Math. pertaining to two sets related by an isomorphism. [1860 65; ISO + MORPHIC] * * * …   Universalium

  • isomorphic — i•so•mor•phic [[t]ˌaɪ səˈmɔr fɪk[/t]] adj. 1) bio Biol. having the same form or appearance 2) chem. cry isomorphous 3) math. Math. pertaining to two sets related by an isomorphism • Etymology: 1860–65 …   From formal English to slang

  • isomorphic —   a. of same or similar form; Mathematics, characterized by a one to one correspondence between the members of two or more sets.    ♦ isomorphism, n.    ♦ isomorphous, a …   Dictionary of difficult words

  • Field of sets — Set algebra redirects here. For the basic properties and laws of sets, see Algebra of sets. In mathematics a field of sets is a pair where X is a set and is an algebra over X i.e., a non empty subset of the power set of X closed under the… …   Wikipedia

  • Creative and productive sets — In computability theory, productive sets and creative sets are types of sets of natural numbers that have important applications in mathematical logic. They are a standard topic in mathematical logic textbooks such as Soare (1987) and Rogers… …   Wikipedia

  • Linear continuum — In the mathematical field of order theory, a continuum or linear continuum is a generalization of the real line. Formally, a linear continuum is a linearly ordered set S of more than one element that is densely ordered , i.e., between any two… …   Wikipedia

  • Continuum (mathematics) — In mathematics, the word continuum has at least two distinct meanings, outlined in the sections below. For other uses see Continuum.Ordered setThe term the continuum sometimes denotes the real line. Somewhat more generally a continuum is a… …   Wikipedia

  • Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

  • Rado graph — The Rado graph, as numbered by Rado (1964). In the mathematical field of graph theory, the Rado graph, also known as the random graph or the Erdős–Renyi graph, is the unique (up to isomorphism) countable graph R such that for any finite graph G… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

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