# 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 contrast to treating integers as direct measures of observable quantities (number of chips or distance from zero), in the card mame integers represent the difference between two positive card values.
5 The Algorithms for Solving Neutrosophic integer Programming Problem (NIPP)
Grosswald, Representations of integers as sums of squares, Springer, New York, 1985.
Its is worth noticing that integers have been in use with different radix in different cultures.
On this note, we extend the domain of GCD from pairs of positive integers (the set [Z.
Enumerate the integer vectors of length n modulo the action of G.
The Diophantine equation x8 + y3 = z4 has no relatively prime positive integer solutions.
The negative integers are usually to be found in the curriculum for children aged about 11-12.
For example, a finite procedure that directly compares f (x) and f (y), where x and y are integers and f is a one-to-one function, [gamma]-compares the two integers x and y, since x = y if and only if f(x) = f(y).
1/6] and integers r and s with (rs, q) = 1, we have the asymptotic formula
p] and then we will modify these cryptosystems to the domain of gaussian integers.
In this example, samples at integers and half points are considered.

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