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GeezerVison is showing en.wiktionary.org — integer - Wiktionary, the free dictionary

English

Etymology

    Borrowed from Latin integer (“whole”), from Proto-Italic *n̥tagros (“untouched”). Doublet of entier and entire. Related to English tact, thack, and thwack.

    Pronunciation

    • IPA(key): /ˈɪn.tɪ.d͡ʒə(ɹ)/
    • (Canada, US) IPA(key): [ˈɪn.tʰə.d͡ʒɚ], [ˈɪn.ɾ̃ə.d͡ʒɚ]
      • Audio (US):(file)

    Noun

    integer (plural integers or (rare) integri)

    1. (arithmetic) A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}.
      • 1886, Leopold Kronecker, speech to the Berliner Naturforscher-Versammlung:
        God made the integers; all else is the work of man

    Synonyms

    • whole number, when understood to include negative numbers and zero.
    • integral number

    Hypernyms

    • rational number
      • real number
    • Gaussian integer
      • quadratic integer
        • algebraic integer
          • algebraic number

    Hyponyms

    • natural number
    • zero

    Derived terms

    • Blum integer
    • Cartan integer
    • Eisenstein integer
    • half-integer
    • half-integral
    • hyperinteger
    • integer factorization
    • integerness
    • long integer
    • noninteger
    • non-integer

    Related terms

    • integral
    • integrate
    • integrity

    Translations

    a number that is not a fraction
    • Arabic: عَدَد صَحِيح m (ʕadad ṣaḥīḥ)
    • Armenian: ամբողջ թիվ (amboġǰ tʻiv)
    • Azerbaijani: tam ədəd
    • Bashkir: бөтөн һан (bötön han)
    • Basque: zenbaki oso
    • Belarusian: цэ́лы лік m (cély lik)
    • Bengali: পূর্ণ সংখ্যা (purno śoṅkha)
    • Bulgarian: ця́ло число́ n (cjálo čisló)
    • Catalan: enter (ca) m
    • Chinese:
      Mandarin: 整數 / 整数 (zh) (zhěngshù)
    • Cornish: kowlniver m
    • Czech: celé číslo (cs) n
    • Danish: heltal (da) n, helt tal n
    • Dutch: geheel getal n
    • Esperanto: entjero (eo)
    • Estonian: täisarv (et)
    • Finnish: kokonaisluku (fi)
    • French: entier (fr) m, nombre entier (fr) m, entier relatif (fr) m
    • Galician: enteiro (gl) m
    • German: ganze Zahl (de) f, Ganzzahl (de) f
    • Greek: ακέραιος αριθμός (el) m (akéraios arithmós), ακέραιος (el) m (akéraios)
    • Hebrew: שלם (he) m, מספר שלם (he) m
    • Hindi: पूर्णांक (hi) m (pūrṇāṅk), पूर्ण संख्या f (pūrṇ saṅkhyā)
    • Hungarian: egész szám (hu)
    • Icelandic: please add this translation if you can
    • Ido: integro (io)
    • Indonesian: bilangan bulat (id)
    • Italian: intero (it) m, numero intero (it) m
    • Japanese: 整数 (ja) (seisū)
    • Javanese: cacah wutuh
    • Kazakh: бүтін сан (bütin san)
    • Khmer: ចំនួនគត់ (km) (cɑmnuən kŭət)
    • Korean: 정수(整數) (ko) (jeongsu)
    • Lithuanian: please add this translation if you can
    • Macedonian: цел бро́ј m (cel brój)
    • Malay: nombor bulat (ms)
    • Māori: tau tōpū, tauoti
    • Marathi: पूर्णांक m (pūrṇāṅka), पूर्णांक संख्या f (pūrṇāṅka saṅkhyā)
    • Norwegian:
      Bokmål: heltall (no) n
      Nynorsk: heiltal n
    • Persian: عدد صحیح ('adad-e sahih)
    • Polish: liczba całkowita (pl) f
    • Portuguese: inteiro (pt) m
    • Romanian: întreg (ro) m, număr întreg n
    • Russian: це́лое число́ (ru) n (céloje čisló), це́лое (ru) n (céloje)
    • Serbo-Croatian:
      Cyrillic: ције̑лӣ бро̑ј m
      Latin: cijȇlī brȏj m
    • Spanish: entero (es) m
    • Sundanese: ᮝᮤᮜᮍᮔ᮪ ᮘᮥᮜᮩᮓ᮪ (wilangan buleud)
    • Swedish: heltal (sv) n
    • Tagalog: buumbilang
    • Tajik: адади саҳеҳ (tg) (adad-i saheh)
    • Turkish: tam sayı (tr), adedimürettep (tr)
    • Ukrainian: please add this translation if you can
    • Uyghur: پۈتۈن سان (pütün san)
    • Vietnamese: số nguyên (vi) (數原)
    • Welsh: cyfanrif (cy) m
    • Zhuang: cingjsoq

    Further reading

    • “integer”, in Webster’s Revised Unabridged Dictionary, Springfield, Mass.: G. & C. Merriam, 1913, →OCLC.
    • William Dwight Whitney, Benjamin Eli Smith, editors (1895–1910), “integer”, in The Century Dictionary […], New York, N.Y.: The Century Co., →OCLC.

    References

    • integer on Wikipedia.Wikipedia

    Anagrams

    • greetin', teering, treeing

    Dutch

    Pronunciation

    • Audio:(file)

    Adjective

    integer (comparative integerder, superlative integerst)

    1. honest, trustworthy, having integrity

    Declension

    Declension of integer
    uninflected integer
    inflected integere
    comparative integerder
    positive comparative superlative
    predicative/adverbial integer integerder het integerst
    het integerste
    indefinite m./f. sing. integere integerdere integerste
    n. sing. integer integerder integerste
    plural integere integerdere integerste
    definite integere integerdere integerste
    partitive integers integerders —

    German

    Pronunciation

    • Audio (Austria):(file)
    • Audio (Germany (Berlin)):(file)

    Adjective

    integer (strong nominative masculine singular integerer, comparative integrer, superlative am integersten)

    1. with integrity, of integrity

    Declension

    Positive forms of integer
    number & gender singular plural
    masculine feminine neuter
    predicative er ist integer sie ist integer es ist integer sie sind integer
    strong declension
    (without article)
    nominative integerer integere integeres integere
    genitive integeren integerer integeren integerer
    dative integerem integerer integerem integeren
    accusative integeren integere integeres integere
    weak declension
    (with definite article)
    nominative der integere die integere das integere die integeren
    genitive des integeren der integeren des integeren der integeren
    dative dem integeren der integeren dem integeren den integeren
    accusative den integeren die integere das integere die integeren
    mixed declension
    (with indefinite article)
    nominative ein integerer eine integere ein integeres (keine) integeren
    genitive eines integeren einer integeren eines integeren (keiner) integeren
    dative einem integeren einer integeren einem integeren (keinen) integeren
    accusative einen integeren eine integere ein integeres (keine) integeren
    Comparative forms of integer
    number & gender singular plural
    masculine feminine neuter
    predicative er ist integrer sie ist integrer es ist integrer sie sind integrer
    strong declension
    (without article)
    nominative integrerer integrere integreres integrere
    genitive integreren integrerer integreren integrerer
    dative integrerem integrerer integrerem integreren
    accusative integreren integrere integreres integrere
    weak declension
    (with definite article)
    nominative der integrere die integrere das integrere die integreren
    genitive des integreren der integreren des integreren der integreren
    dative dem integreren der integreren dem integreren den integreren
    accusative den integreren die integrere das integrere die integreren
    mixed declension
    (with indefinite article)
    nominative ein integrerer eine integrere ein integreres (keine) integreren
    genitive eines integreren einer integreren eines integreren (keiner) integreren
    dative einem integreren einer integreren einem integreren (keinen) integreren
    accusative einen integreren eine integrere ein integreres (keine) integreren
    Superlative forms of integer
    number & gender singular plural
    masculine feminine neuter
    predicative er ist am integersten sie ist am integersten es ist am integersten sie sind am integersten
    strong declension
    (without article)
    nominative integerster integerste integerstes integerste
    genitive integersten integerster integersten integerster
    dative integerstem integerster integerstem integersten
    accusative integersten integerste integerstes integerste
    weak declension
    (with definite article)
    nominative der integerste die integerste das integerste die integersten
    genitive des integersten der integersten des integersten der integersten
    dative dem integersten der integersten dem integersten den integersten
    accusative den integersten die integerste das integerste die integersten
    mixed declension
    (with indefinite article)
    nominative ein integerster eine integerste ein integerstes (keine) integersten
    genitive eines integersten einer integersten eines integersten (keiner) integersten
    dative einem integersten einer integersten einem integersten (keinen) integersten
    accusative einen integersten eine integerste ein integerstes (keine) integersten

    Related terms

    • Integrität

    Further reading

    • “integer” in Duden online
    • “integer”, in Digitales Wörterbuch der deutschen Sprache‎[1] (in German)

    Latin

    Latin numbers (edit)
    10
    I
    1
    2  → [a], [b] 10  → 
        Cardinal: ūnus
        Ordinal: prīmus
        Adverbial: semel
        Proportional: simplus
        Multiplier: simplex
        Distributive: singulus, prīvus
        Collective: ūniō
        Fractional: integer

    Etymology

      From Proto-Italic *n̥tagros (“untouched”), from *teh₂g- (“to touch”), whence Latin tangō (“to touch”). By surface analysis, an adjectival formation from in- +‎ tangō.[1]

      Pronunciation

      • (Classical Latin) IPA(key): [ˈɪn.tɛ.ɡɛr]
      • (modern Italianate Ecclesiastical) IPA(key): [ˈin.te.d͡ʒer]

      Adjective

      integer (feminine integra, neuter integrum, comparative integrior, superlative integerrimus); first/second-declension adjective (nominative masculine singular in -er)

      1. complete, whole, intact, uninjured, sound, healthy
        Synonyms: incolumis, validus, sanus, salvus, saluber, sospes, intactus, sollus, innoxius
        Antonyms: aeger, miser, affectus, fessus, īnfirmus, languidus
        ab/de/ex integro ― from the start again, from the beginning
        ad integrum ― completely, at all

      Declension

      First/second-declension adjective (nominative masculine singular in -er).

      singular plural
      masculine feminine neuter masculine feminine neuter
      nominative integer integra integrum integrī integrae integra
      genitive integrī integrae integrī integrōrum integrārum integrōrum
      dative integrō integrae integrō integrīs
      accusative integrum integram integrum integrōs integrās integra
      ablative integrō integrā integrō integrīs
      vocative integer integra integrum integrī integrae integra

      Derived terms

      • integellus
      • integrātiō
      • integrātor
      • integrē
      • integritās
      • integritūdō
      • integrō

      Descendants

      • Insular Romance:
        • Sardinian: interu, intreu (medieval)
      • Balkano-Romance:
        • Aromanian: ãntreg, ntreg
        • Romanian: întreg
      • Italo-Dalmatian:
        • Corsican: intrévu
        • Dalmatian: intric
        • Italian: intiero, intero
        • Sicilian: ntregu
        • Venetan: intier, intiero, intrego, intriego, intrech
      • Rhaeto-Romance:
        • Friulian: intîr
        • Ladin: intríak, intríek, intier, ntier
        • Romansh: entir, inter
      • Gallo-Italic:
        • Emilian: intîr
        • Lombard: intreo (medieval), intre̢k
        • Piedmontese: antrègh, antrí, antre̢tś, anter
        • Romagnol: intègar
      • Gallo-Romance:
        • Franco-Provençal: entiér
        • Old Catalan: entegre, entregue
        • Old French: entiere, entre
          • French: entier
          • Norman: entchi (Jersey)
          • Walloon: entier
          • → English: entire
        • Old Occitan: entegre, entier, enteir[2]
          • Occitan: entièr
          • → Catalan: entir[3] (regional)
      • Ibero-Romance:
        • Aragonese: enter, entero, anter, antero
        • Asturian: enteru
        • Old Galician-Portuguese: enteiro, enteyro, entrego
          • Galician: enteiro, entergo, inteiro
          • Portuguese: inteiro (latinized prefix), ⇒ entregue
        • Old Navarro-Aragonese: entreg
          • Aragonese: entrego (Probably influenced by Spanish)
        • Old Spanish: entero, entrego, entegro
          • Spanish: entero
            • → Catalan: enter[4]

      Borrowings:

      • → Asturian: integru
      • → Catalan: íntegre
      • → German: integer
      • → English: integer
      • → French: intègre
      • → Galician: íntegro
      • → Interlingua: integre
      • → Italian: integro
      • → Occitan: integre
      • → Portuguese: íntegro
      • → Romanian: integru
      • → Spanish: íntegro

      References

      1. ^ De Vaan, Michiel (2008), “tangō, -ere”, in Etymological Dictionary of Latin and the other Italic Languages (Leiden Indo-European Etymological Dictionary Series; 7), Leiden, Boston: Brill, →ISBN, pages 606–607: “Derivatives > line 4 > integer”
      2. ^ https://dictionnaire-general-occitan-francais.fandom.com/fr/wiki/Enti%C3%A8r
      3. ^ Alcover, Antoni Maria; Moll, Francesc de Borja (1963), “entir”, in Diccionari català-valencià-balear (in Catalan)
      4. ^ Alcover, Antoni Maria; Moll, Francesc de Borja (1963), “enter”, in Diccionari català-valencià-balear (in Catalan)

      Further reading

      • “integer”, in Charlton T. Lewis and Charles Short (1879), A Latin Dictionary, Oxford: Clarendon Press
      • “integer”, in Charlton T. Lewis (1891), An Elementary Latin Dictionary, New York: Harper & Brothers
      • “integer”, in Gaffiot, Félix (1934), Dictionnaire illustré latin-français, Hachette.
      • Carl Meißner; Henry William Auden (1894), Latin Phrase-Book‎[2], London: Macmillan and Co.
        • sound, unimpaired senses: sensus sani, integri, incorrupti
        • it is no longer in my power: mihi non est integrum, ut...
        • to leave the question open; to refuse to commit oneself: integrum (causam integram) sibi reservare
        • to reinstate a person in his right: aliquem in integrum (vid. sect. V. 4, note The proper...) restituere
        • an impartial witness: testis incorruptus atque integer
        • to send fresh troops to take the place of those wearied with fighting: integros defatigatis summittere
        • fresh troops relieve the tired men: integri et recentes defatigatis succedunt
        • (ambiguous) to be in the prime of life: integra aetate esse
        • (ambiguous) the matter is still undecided; it is an open question: res integra est
        • (ambiguous) I have not yet committed myself: res mihi integra est
      • integer in Ramminger, Johann (16 July 2016 (last accessed)), Neulateinische Wortliste: Ein Wörterbuch des Lateinischen von Petrarca bis 1700‎[3], pre-publication website, 2005-2016
      • Walther von Wartburg (1928–2002), “ĭntĕger”, in Französisches Etymologisches Wörterbuch (in German), volume 4: G H I, page 734
      • Online Latin dictionary, Olivetti

      Limburgish

      Alternative forms

      • énnteeger (Eupen)

      Etymology

      Borrowed from Latin integer.

      Adjective

      integer (comparative integerder, superlative integers, predicative superlative 't integers)

      1. friendly
      2. complete, whole, intact

      Usage notes

      Unlike in Dutch, it is not used in the meaning of honest or trustworthy.

      Inflection

      Declension of integer
      number & gender masculine feminine neuter
      singular plural singular plural singular plural
      nominative integere integer integer integer integer integer
      genitive integers integerer integerer integerer integers integerer
      locative integeres integeres integeres integeres integeres integeres
      vocative1 integer
      dative2 integere integeren integerer integeren integer integeren
      accusative2 integere integeren integer integer integer integeren
      1Limited to a few fossilized forms.
      2Nowadays obsolete, use the nominative instead.
      Retrieved from "https://en.wiktionary.org/w/index.php?title=integer&oldid=95456824"
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