# integer

Also found in: Dictionary, Thesaurus, Medical, Legal, Financial, Acronyms, Wikipedia.
Related to integer: Rational 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## 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…
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## 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.
Copyright © 1981-2019 by The Computer Language Company Inc. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.
References in periodicals archive ?
Then, the two-dimensional integer DCT for 4x4 coding block in HEVC can be expressed as:
The transaction does not include Integer's Portable Medical product line, which will remain a part of Integer.
Let p,k [member of] Z be fixed, non-zero integers, and let l [member of] Z be any integer.
Step 1: Convert neutrosophic integer programming problem to its crisp model by using the following method:
The positive integer 18 is a (1-)trapezoidal number represented in the forms of series
Thus, Perception Options argued, it sought registration for a single mark for which the overall commercial impression was a fixed oval design, regardless of the varying integer make-up.
Concerning the theorems mentioned above, the Axiom of Choice turns out to be indeed necessary: In section 4, we construct transitive models of Zermelo-Fraenkel set theory without the Axiom of Choice (ZF) containing a real closed field K, but no integer part of K.
Let (EQUATION) be the decimal expansion of the positive integer N where a0, a1,...,ak were nonnegative integers less than 10 such that ak [?] 0 and k [greater than or equal to] 0.
The general form of an integer programming model can be stated as
An (n,m)-Selberg book is a filling of the m-tuple ([[lambda].sup.(1)], [[lambda].sup.(2)], ..., [[lambda].sup.(m)]) with integers [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] such that in each page the integer in the ith row and jth column with i [not member of] j is bigger than the integer in the ith diagonal cell and smaller than the integer in the jth diagonal cell.
This problem may be used as a simple application of greatest common divisor (GCD) of two positive integers. The greatest common divisor (highest common factor), or GCD, of two positive integers a and b is the largest positive integer that is a factor of both a and b (see Burton, 2002, p.
From the representation integer using the so-called g - adic expansion we can see any integer a can build such polynomial so that the polynomial has degree of k, k being the length digits for that integera.

Site: Follow: Share:
Open / Close