integer

integer
/in"ti jeuhr/, n.
1. Math. one of the positive or negative numbers 1, 2, 3, etc., or zero. Cf. whole number.
2. a complete entity.
[1500-10; < L: untouched, hence, undivided, whole, equiv. to in- IN-3 + -teg- (comb. form of tag-, base of tangere to touch) + -er adj. suffix]

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Whole-valued positive or negative number or 0.

The integers are generated from the set of counting numbers 1, 2, 3, . . . and the operation of subtraction. When a counting number is subtracted from itself, the result is zero. When a larger number is subtracted from a smaller number, the result is a negative whole number. In this way, every integer can be derived from the counting numbers, resulting in a set of numbers closed under the operation of subtraction (see group theory).

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Universalium. 2010.

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  • Integer — In te*ger, n. [L. integer untouched, whole, entire. See {Entire}.] A complete entity; a whole number, in contradistinction to a fraction or a mixed number. [1913 Webster] {Complex integer} (Theory of Numbers), an expression of the form a +… …   The Collaborative International Dictionary of English

  • integer — »unbescholten, makellos«: Das Adjektiv wurde – wohl unter dem Einfluss von frz. intègre – im 19. Jh. entlehnt aus lat. integer (< *en tag ros) »unberührt, unversehrt; ganz«, das mit verneinendem 2↑ in..., ↑ In... zur Sippe von lat. tangere… …   Das Herkunftswörterbuch

  • integer — (n.) a whole number (opposed to fraction), 1570s, from L. integer (adj.) whole, complete, figuratively, untainted, upright, lit. untouched, from in not (see IN (Cf. in ) (1)) + root of tangere to touch (see TANGENT (Cf. t …   Etymology dictionary

  • Intĕger — Intĕger, 1) ganz; 2) unbescholten, s. Integrität. Daher Integral, 1) ein Ganzes ausmachend, selbständig, für sich bestehend; 2) s.u. Integralrechnung 1); 3) Integralen, holländische Staatspapiere …   Pierer's Universal-Lexikon

  • integer — I index full, impartial, incorruptible, inculpable II index individual III …   Law dictionary

  • integer — Adj integrieren …   Etymologisches Wörterbuch der deutschen sprache

  • integer — n *number, numeral, figure, digit …   New Dictionary of Synonyms

  • integer — Adj. (Aufbaustufe) von untadeligem Ruf, moralisch einwandfrei Synonyme: anständig, ehrenhaft, ehrenwert, redlich, seriös, solide, unbescholten, rechtschaffen Beispiel: Der Politiker ist eine völlig integre Persönlichkeit …   Extremes Deutsch

  • integer — ► NOUN ▪ a whole number. ORIGIN from Latin, intact, whole , from tangere to touch ; compare with ENTIRE(Cf. ↑entire) …   English terms dictionary

  • integer — [in′tə jər] n. [L, untouched, whole, entire < in , not + base of tangere, to touch: see TACT] 1. anything complete in itself; entity; whole 2. any positive or negative whole number or zero: see also RATIONAL (sense 4a) …   English World dictionary

  • Integer — This article is about the mathematical concept. For integers in computer science, see Integer (computer science). Symbol often used to denote the set of integers The integers (from the Latin integer, literally untouched , hence whole : the word… …   Wikipedia

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