# integer

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Related to Integers: Whole numbers

## in·te·ger

(ĭn′tĭ-jər)
n. Mathematics
1. A member of the set of positive whole numbers {1, 2, 3, ... }, negative whole numbers {-1, -2, -3, ... }, and zero {0}.
2. A complete unit or entity.

[From Latin, whole, complete; see tag- in Indo-European roots.]

## integer

(ˈɪntɪdʒə)
n
1. (Mathematics) any rational number that can be expressed as the sum or difference of a finite number of units, being a member of the set …–3, –2, –1, 0, 1, 2, 3…
2. an individual entity or whole unit
[C16: from Latin: untouched, entire, from tangere to touch]

## in•te•ger

(ˈɪn tɪ dʒər)

n.
1. one of the positive or negative numbers 1, 2, 3, etc., or zero.
2. a complete entity.
[1500–10; < Latin: untouched, hence, undivided, whole =in- in-3 + -teg- (comb. form of tag-, base of tangere to touch) + -er adj. suffix]

## in·te·ger

(ĭn′tĭ-jər)
A positive or negative whole number or zero. The numbers 4, -876, and 5,280 are all integers.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 integer - any of the natural numbers (positive or negative) or zero; "an integer is a number that is not a fraction"whole numbercharacteristic - the integer part (positive or negative) of the representation of a logarithm; in the expression log 643 = 2.808 the characteristic is 2number - a concept of quantity involving zero and units; "every number has a unique position in the sequence"divisor, factor - one of two or more integers that can be exactly divided into another integer; "what are the 4 factors of 6?"common multiple - an integer that is a multiple of two or more other integersmodulus - an integer that can be divided without remainder into the difference between two other integers; "2 is a modulus of 5 and 9"digit, figure - one of the elements that collectively form a system of numeration; "0 and 1 are digits"large integer - an integer equal to or greater than tendouble digit - a two-digit integer; from 10 to 99population - the number of inhabitants (either the total number or the number of a particular race or class) in a given place (country or city etc.); "people come and go, but the population of this town has remained approximately constant for the past decade"; "the African-American population of Salt Lake City has been increasing"
Translations
celé číslo
heltal
täisarv
kokonaisluku
cijeli broj
egész szám

întreg
heltal

[ˈɪntɪdʒəʳ] N

## integer

[ˈɪntɪdʒər] n (MATHEMATICS)

n

## integer

[ˈɪntɪdʒəʳ] n (Math) → intero
References in classic literature ?
'INTEGER VITAE,' says a Roman poet, who is strange company for St Paul
On this note, we extend the domain of GCD from pairs of positive integers (the set [Z.sup.+] x [Z.sup.+]), to pairs of fractions or rational numbers (the set [Q.sup.+] x [Q.sup.+]).
Among these messages there are some which characterize or define positive integers, sometimes in any of several ways.
This Diophantine equation in integers p > 1, q > 1, r > 1 and x, y, z is a generalization of the well-known Fermat equation [x.sup.n] + [y.sup.n] = [z.sup.n].
Consider the following problem: Let A = {[a.sub.1], ..., [a.sub.n]} be a set of n integers and b be another integer.
where N and H are integers with H [greater than or equal to] 1.
It describe the elgamal public-key cryptosystem and the diffehellman key exchange and the then extends these cryptosystem over the domain of gaussian integers. The main purpose of this paber is to use the gaussian integers; the set of all complex numbers [alpha]+bi with a,b [member of] in the Gaussian integers, that can help the cryptosystem to be more secure.
From the study of pseudo-dual biorthogonal sequences of B-spline Riesz sequences , we observe that sampling formulae for B-spline Riesz sequence subspaces X exist on almost-all integers (integer plus finitely many non-integer points).
Let {[h.sub.n]} be a sequence of m integers (m- point integer sequence), the parameters [beta], m are mutually prime with a composite number N, [mm.sup.-1] [equivalent to] 1 mod N, [[beta].sup.m] [equivalent to] 1 mod N and [m-1.summation over (k=0)][[beta].sub.uk] = O mod N, equivalently, [([[beta].sup.u] - 1), N)] = 1 for every u such that m/u is a prime.
"Proudly displaying the Integer name in Wheeling is part of our ongoing efforts to improve brand recognition and create a common culture companywide," said Jeremy Friedman, Integers chief operating officer.
In their article Playing your cards right: Integers for algebra, Erik Tillema, Andrew Gatza, and Catherine Ulrich consider two ways that they most typically teach integers and integer addition.

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