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Longman Dictionary of Contemporary English
▪ Let n be a positive integer, any one you wish, but fixed once chosen.
▪ This can take any integer value between 0 and 100.
▪ Numbers up to the maximum integer value may be entered as a decimal constant without any loss of accuracy.
▪ The key effectively defines a generic heading which contains an integer value for each possible component of a textual identifier.
▪ Forcing x r to an integer value reduces the objective function by approximately for the down-problem and for the up-problem.
▪ This tendency remains for small integer values of k, reducing as k increases in size.
▪ Firstly, the desire to find good integer solutions so that the enumeration tree can be severely pruned.
▪ Now suppose there exists an integer a with decompositions as above but in which the pi and qi do not pair off.
▪ One such form is the short integer.
▪ Somewhat more satisfactory would be to consider the algebraic numbers those complex numbers which are solutions of algebraic equations with integer coefficients.
▪ The key effectively defines a generic heading which contains an integer value for each possible component of a textual identifier.
▪ This can take any integer value between 0 and 100.
▪ To be rigorous, we should treat this number as an integer.
▪ When they are combined, these enhancements are expected to increase the SuperSparc-II's floating point to a integer ratio.
The Collaborative International Dictionary

Integer \In"te*ger\, n. [L. integer untouched, whole, entire. See Entire.] A complete entity; a whole number, in contradistinction to a fraction or a mixed number.

Complex integer (Theory of Numbers), an expression of the form a + b[root]-1, where a and b are real integers.

Douglas Harper's Etymology Dictionary

"a whole number" (opposed to fraction), 1570s, from Latin integer (adj.) "whole, complete," figuratively, "untainted, upright," literally "untouched," from in- "not" (see in- (1)) + root of tangere "to touch" (see tangent (adj.)). The word was used earlier in English as an adjective meaning "whole, entire" (c.1500).


n. (context arithmetic English) An element of the infinite and numerable set {...,-3,-2,-1,0,1,2,3,...}.


n. any of the natural numbers (positive or negative) or zero [syn: whole number]


An integer (from the Latin integer meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and are not.

The set of integers consists of zero , the natural numbers (, , , …), also called whole numbers or counting numbers, and their additive inverses (the negative integers, i.e. −1, −2, −3, …). This is often denoted by a boldface Z ("") or blackboard bold Z ( Unicode U+2124 ℤ) standing for the German word Zahlen (, "numbers"). ℤ is a subset of the sets of rational and real numbers and, like the natural numbers, is countably infinite.

The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes called rational integers to distinguish them from the more general algebraic integers. In fact, the (rational) integers are the algebraic integers that are also rational numbers.

Integer (computer science)

In computer science, an integer is a datum of integral data type, a data type which represents some finite subset of the mathematical integers. Integral data types may be of different sizes and may or may not be allowed to contain negative values. Integers are commonly represented in a computer as a group of binary digits (bits). The size of the grouping varies so the set of integer sizes available varies between different types of computers. Computer hardware, including virtual machines, nearly always provide a way to represent a processor register or memory address as an integer.

Usage examples of "integer".

In the saloon, Lissa and Orichalc played round upon round of Integer until, at length, they fell into conversation.

Every Trans unit has an individual identification number seven integers long.

Elegit quippe integer obedire, quam imminutus obsistere: tutius tunc defendit regnum quando arma deposuit.

Given some moderately sophisticated mathematical concepts--which could be built up from elementary ideas based on integer exemplars--quantum graphs were far easier to talk about than anything as abstract and contingent as social structures.

In particular the harmonic relationships between frequencies related by simple integer ratios would give rise to corresponding relationships between neural firings in response to those frequencies.

Suddenly, I was seized by a childish compulsion to write in sequence all the integers from 1 to 1,000.

Yet his capacity to fathom the properties of the integers was such that he sometimes found himself watching a number unfold to reveal the reproductive structure within.

This same number, viewed a bit differently, was a special element in the set of positive integers, being a mathematically perfect number, equal to the sum of its divisors.

Strange, she thought, how the integers, which are discrete, and our attempts to chart time, which is continuous, may well combine to give us a common area of reference with extraterrestrials.

He wrote down the integers not by name but symbol, listing roughly a dozen, sometimes more, before going back to do the crossing out.

The integers were immensely pleasing to list, much more so than any of the other categories, the sequences arrayed like numerical paternosters.

India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers.

O'Toole next scattered the numbers of the two birthdates using an inverse Fibonacci sequence (34, 21,13,8, 5, 3, 2,1,1) to define the locations of the nine new integers in the original forty-one-digit string.

Two thousand twenty-five is the sum of the cubes of the integers, one cubed plus two cubed plus three cubed and so on up to nine cubed, all added together.

But can chance account for the fact that these and other prime integers of precession keep cropping up in supposedly unrelated mythologies from all over the world, and in such stolid but enduring vehicles as calendar systems and works of architecture?