# integer

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## 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 periodicals archive ?
In this paper, a public key cryptosystem using Number theoretic transforms (NTT) [7, 8, and 12] over the ring of integer modulo a composite number n resistible against brute force attack is discussed.
On the other hand, traditional vertex coloring of (unweighted) graphs can be viewed as a circular one--consider the colors to lie in an appropriate ring of integer residues.
This led mathematician to give a variant of this theorem over the ring of integer numbers.
Theorem.2.2 Let [Z.sub.n] be the ring of integers modulo n.
Buium introduces and describes an arithmetic analogue of classical differential geometry in which a ring of integers will play the role of a ring of functions on an infinite dimensional manifold.
Z denotes the ring of integers, L(R) denotes the set of fuzzy sets of R, and LI(R) denotes the set of fuzzy ideals of R.
Throughout this paper N, Z, and [Z.sub.n] (n = 2, 3, ...) will, respectively, denote the set of positive integers, the ring of integers, and the ring of residues modulo n.
Let K be an algebraic number field and [O.sub.K] be its ring of integers. Let [V.sub.K] be the set of primes on K, that is [upsilon] [member of] [V.sub.K] is an equivalence class of nontrivial norms on K (finite or infinite).
On the Iwasawa [mu]-invariants of branched [Z.sub.p]-covers Jun UEKI On the ring of integers of real cyclotomic fields Koji YAMAGATA and Masakazu YAMAGISHI Above two, communicated by Shigefumi MORI, M.J.A.
where the inverse was computed using the Euclidean algorithm in the ring of integers modulo p.
Knowing that the coherent cohomology of polydisks vanishes also opens the road towards computing global cohomology groups for projective analytic spaces over ring of integers of number fields.
Furthermore, nonassociated factor of 2 - 2[square root of -5] in the ring of integers of Q([theta]) is also calculated.

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