isolated set

isolated set
Math. a set containing none of its accumulation points, consisting, therefore, of only isolated points.

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Universalium. 2010.

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  • isolated set — Math. a set containing none of its accumulation points, consisting, therefore, of only isolated points …   Useful english dictionary

  • isolated — [ī′sə lāt΄əd] adj. 1. set apart; separate; solitary [an isolated lighthouse] 2. not occurring or happening regularly or frequently; rare [an isolated instance of violence] …   English World dictionary

  • isolated point — n. a separated or distant point of a set of points, as in graphing certain equations (e.g. y2=x2(x 1) has many solutions that graphically form a curve but has one solution (0,0) that is isolated from this curve) …   English World dictionary

  • Isolated point — 0 is an isolated point of A In topology, a branch of mathematics, a point x of a set S is called an isolated point of S, if there exists a neighborhood of x not containing other points of S. In particular, in a Euclidean space (or in a …   Wikipedia

  • Isolated singularity — In complex analysis, a branch of mathematics, an isolated singularity is one that has no other singularities close to it.Formally, a complex number z is an isolated singularity of a function f if there exists an open disk D centered at z such… …   Wikipedia

  • set-apart — adjective being or feeling set or kept apart from others (Freq. 1) she felt detached from the group could not remain the isolated figure he had been Sherwood Anderson thought of herself as alone and separated from the others had a set apart… …   Useful english dictionary

  • isolated point — Math. a point in a set such that the neighborhood of the point is devoid of any other points belonging to the set. * * * …   Universalium

  • isolated — I (Roget s IV) modif. Syn. secluded, apart, alone, solitary, insular, segregated, confined, sequestered, quarantined, screened, withdrawn, rustic, backwoods, separate, lonely, forsaken, hidden, remote, out of the way, unfrequented, lonesome, in a …   English dictionary for students

  • isolated point — Math. a point in a set such that the neighborhood of the point is devoid of any other points belonging to the set …   Useful english dictionary

  • isolated — Synonyms and related words: abandoned, alien, alienated, alone, aloof, anchoretical, anomalous, anonymous, apart, archipelagian, archipelagic, at rest, calm, cloistered, closet, companionless, cool, cordoned, cordoned off, cut off, deserted,… …   Moby Thesaurus

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