integer

Contents

EnglishEdit

EtymologyEdit

Borrowing from Latin integer (“untouched, unhurt, unchanged, sound, fresh, whole, entire, pure, honest”), from in + tangere (“to touch”). See tangere, tact.

PronunciationEdit

• IPA^(key): /ˈɪn.tɨ.d͡ʒə(ɹ)/

• Audio (US)

  (file)

NounEdit

integer (plural integers)

1. (arithmetic) A number that is not a fraction; an element of the infinite and numerable set {...,-3,-2,-1,0,1,2,3,...}.

SynonymsEdit

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

HypernymsEdit

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

HyponymsEdit

• natural number
• zero

Related termsEdit

• integrate
• integral
• integrity

Derived termsEdit

• algebraic integer
• quadratic integer

TranslationsEdit

integer

• Arabic: عَدَد صَحِيح‎ m (ʿadad ṣaḥīḥ)
• Armenian: ամբողջ թիվ (ambołǰ tʿiv)
• Bulgarian: цяло число n (cjálo čisló)
• Catalan: enter (ca)
• Chinese:

  Mandarin: 整數 (zh), 整数 (zh) (zhěngshù)

• Czech: celé číslo (cs) n
• Danish: heltal (da) n, helt tal n
• Dutch: geheel getal n
• Esperanto: entjero
• Estonian: täisarv (et)
• Finnish: kokonaisluku (fi)
• French: entier (fr) m, nombre entier (fr) m
• German: ganze Zahl (de) f, Ganzzahl (de)
• Greek: ακέραιος αριθμός (el) m (akéraios arithmós) (akéraios arithmós), ακέραιος (el) m (akéraios)
• Hebrew: שלם‎ (he) m, מספר שלם‎ (he) m
• Hungarian: egész szám (hu)
• Italian: intero (it) m, numero intero (it) m
• Japanese: 整数 (ja) (せいすう, seisū)
• Javanese: cacah wutuh

• Korean: 정수 (ko) (jeongsu)
• Macedonian: цел број m (cel brój)
• Maori: tau tōpū
• 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: cijeli broj m
• Spanish: entero (es)
• Sundanese: ᮝᮤᮜᮍᮔ᮪ ᮘᮥᮜᮩᮓ᮪ (wilangan buleud)
• Swedish: heltal (sv)
• Tagalog: buumbilang
• Tajik: адади саҳеҳ (tg) (adadi saheh)
• Turkish: tam sayı (tr), adedimürettep (tr)
• Vietnamese: số nguyên (vi)

Further readingEdit

• integer in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913
• integer in The Century Dictionary, The Century Co., New York, 1911

AnagramsEdit

• greetin', treeing

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DutchEdit

PronunciationEdit

• Audio

  (file)

AdjectiveEdit

integer (comparative integerder, superlative integerst)

1. honest, trustworthy, having integrity

InflectionEdit

Inflection of integer
uninflected	integer
inflected	integere
comparative	—
		positive
predicative/adverbial		integer
indefinite	m./f. sing.	integere
	n. sing.	integer
	plural	integere
definite		integere
partitive		integers

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GermanEdit

PronunciationEdit

• Audio (Austria)

  (file)

• Audio

  (file)

AdjectiveEdit

integer (comparative integrer, superlative am integersten)

1. with integrity, of integrity

Related termsEdit

• Integrität

DeclensionEdit

Positive forms of integer

number & gender		singular			plural
		masculine	feminine	neuter	all genders
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	all genders
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	all genders
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

Further readingEdit

• integer in Duden online

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LatinEdit

EtymologyEdit

From Proto-Italic *entagros, from Proto-Indo-European *n̥-th₂g-ro-, from *teh₂g- (whence tangō).

PronunciationEdit

• (Classical) IPA^(key): /ˈin.te.ɡer/, [ˈɪn.tɛ.ɡɛr]
• (Ecclesiastical) IPA^(key): /ˈin.te.d͡ʒer/

AdjectiveEdit

integer (feminine integra, neuter integrum); first/second declension

1. complete, whole, intact
2. uninjured, sound, healthy

InflectionEdit

First/second declension, nominative masculine singular in -er.

Number	Singular				Plural
Case / Gender	Masculine	Feminine	Neuter		Masculine	Feminine	Neuter
nominative	integer	integra	integrum		integrī	integrae	integra
genitive	integrī	integrae	integrī		integrōrum	integrārum	integrōrum
dative	integrō		integrō		integrīs
accusative	integrum	integram	integrum		integrōs	integrās	integra
ablative	integrō	integrā	integrō		integrīs
vocative	integer	integra	integrum		integrī	integrae	integra

• comparative: integrior, superlative: integerrimus

Derived termsEdit

• integellus
• integrātiō
• integrātor
• integrē

• integritās
• integritūdō
• integrō

DescendantsEdit

• Aromanian: ãntreg, ntreg
• Asturian: enteru, integru (borrowing)
• Catalan: enter, íntegre (borrowing)
• Dalmatian: intric
• English: entire, integer (borrowing)
• Old French: entier
  • French: entier, intègre (borrowing)
• Friulian: intîr
• Galician: enteiro, íntegro (borrowing)
• Italian: integro (borrowing), intero
• Norman: entchi
• Ladin: ntier

• Occitan: entièr
• Old Portuguese: enteiro, enteyro
• Old Spanish: entero, entrego, entegro (borrowing)
• Portuguese: íntegro (borrowing), inteiro
• Romanian: întreg, integru (borrowing)
• Romansch: entir
• Sardinian: interu
• Sicilian: nteru
• Spanish: entero, íntegro (borrowing)
• Venetian: intier, intiero, intrego, intriego
• Walloon: entier

ReferencesEdit

• 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 Félix Gaffiot’s Dictionnaire Illustré Latin-Français, Hachette (1934)
• Carl Meissner; Henry William Auden (1894) Latin Phrase-Book^[1], 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 (accessed 16 July 2016) Neulateinische Wortliste: Ein Wörterbuch des Lateinischen von Petrarca bis 1700^[2], pre-publication website, 2005-2016

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LimburgishEdit

EtymologyEdit

Borrowing from Latin integer.

AdjectiveEdit

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

1. friendly
2. complete, whole, intact

Usage notesEdit

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

InflectionEdit

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.