# integer

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Related to Integers: Whole numbers

## integer:

see numbernumber,
entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their
; number theorynumber theory,
branch of mathematics concerned with the properties of the integers (the numbers 0, 1, −1, 2, −2, 3, −3, …). An important area in number theory is the analysis of prime numbers.
.

## integer

[′int·ə·jər]
(mathematics)
Any positive or negative counting number or zero.

## integer

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…

## integer

(mathematics)
(Or "whole number") One of the finite numbers in the infinite set

..., -3, -2, -1, 0, 1, 2, 3, ...

An inductive definition of an integer is a number that is either zero or an integer plus or minus one. An integer is a number with no fractional part. If written as a fixed-point number, the part after the decimal (or other base) point will be zero.

A natural number is a non-negative integer.

## integer

A whole number. In programming, sending the number 123.398 to an integer function would return 123. Integers can be signed (positive or negative) or unsigned (always positive). If signed, the leftmost bit is used as the sign bit, and the maximum value of each sign is thus cut in half. For example, an 8-bit unsigned integer stores the values 0 to 255, whereas an 8-bit signed integer can store -128 to +127. See integer arithmetic and floating point.
References in periodicals archive ?
In order for Q to verify that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], Q must [gamma]-compare the subset-sum, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], with the target integer, b, since a [gamma]-comparison between [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and b is the only type of finite procedure that is guaranteed to determine that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], by Lemma 2.
2 ElGamal public-key cryptosystem in the domain of gaussian integers [][i]
In this paper, we use the elementary methods and congruences to study the solvability of the equation Z(n) + SL(n) = n, and give its all positive integer solutions.
Finally, there is an interesting relationship between reciprocal integers and perfect numbers.
10], so a likely value for the sum of the squares of the randomly generated integers cannot be represented using 32-bit two's complement form.
If n is odd, say, n = 2m - 1 for some integer m > 1, then from Lemma 2.
Alternatively, one Can replace the integers with rhyming words, arranged to make some sort of sense.
So, although it's a practical way to test integers smaller than 10 billion, which have nine digits, it fails miserably for integers of 25 digits or more.
The problem is interesting, because it has the close relationship with the positive integer solutions of the indefinite equation
For any positive integer k [greater than or equal to] 3, there exist infinite group positive integers
If the curvatures of the four initial circles are integers, the curvature of every smaller circle is also an integer.
Whether there exist infinite positive integers n such that the equation G(n) = n is an interesting problem.

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