different between integer vs heteromecic

English

Etymology

Borrowed from Latin integer (“untouched, unhurt, unchanged, sound, fresh, whole, entire, pure, honest”), from in + tangere (“to touch”). Doublet of entire. See tangere, tact. Related to English thack and thwack.

Pronunciation

• enPR: ?n't?j?r, IPA^(key): /??n.t?.d???(?)/

Noun

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, ...}.
   • 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

Related terms

Translations

Further reading

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

References

• integer on Wikipedia.Wikipedia

Anagrams

• greetin', teering, treeing

Dutch

Pronunciation

Adjective

integer (comparative integerder, superlative integerst)

1. honest, trustworthy, having integrity

Inflection

German

Pronunciation

Adjective

integer (comparative integrer, superlative am integersten)

1. with integrity, of integrity

Declension

Related terms

• Integrität

Further reading

• “integer” in Duden online

Latin

Etymology

From Proto-Italic *entagros, from Proto-Indo-European *n?th?gros, from *teh?g- (whence tang?).

Pronunciation

• (Classical) IPA^(key): /?in.te.?er/, [??n?t????r]
• (Ecclesiastical) IPA^(key): /?in.te.d??er/, [?in?t??d???r]

Adjective

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

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

Declension

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

Derived terms

Descendants

References

• 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?^[1], London: Macmillan and Co.
• integer in Ramminger, Johann (accessed 16 July 2016) Neulateinische Wortliste: Ein Wörterbuch des Lateinischen von Petrarca bis 1700?^[2], pre-publication website, 2005-2016

Limburgish

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

English

Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

Adjective

heteromecic (not comparable)

1. (mathematics) Of a number which is the product of two consecutive integers.

   • [1] Again, then, to take a fresh start, a number is called heteromecic if its representation, when graphically described in a plane, is quadrilateral and quadrangular, to be sure, but the sides are not equal to one another, nor is the length equal to the breadth, but they differ by 1. Examples are 2, 6, 12, 20, 30, 42, and so on, for if one represents them graphically he will always construct them thus: 1 times 2 equals 2, 2 times 3 equals 6, 3 times 4 equals 12, and the succeeding ones similarly, 4 times 5, 5 times 6, 6 times 7, 7 times 8, and thus indefinitely, provided only that one side is greater than the other by 1 and by no other number.

   Twice a triangular number is a heteromecic number.

Synonyms

• pronic

Related terms

• rectangular number
• oblong number