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integral - 7 dictionary results
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in⋅te⋅gral

   [in-ti-gruhl, in-teg-ruhl]
–adjective
1. of, pertaining to, or belonging as a part of the whole; constituent or component: integral parts.
2. necessary to the completeness of the whole: This point is integral to his plan.
3. consisting or composed of parts that together constitute a whole.
4. entire; complete; whole: the integral works of a writer.
5. Arithmetic. pertaining to or being an integer; not fractional.
6. Mathematics. pertaining to or involving integrals.
–noun
7. an integral whole.
8. Mathematics.
a. Also called Riemann integral. the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.
b. a primitive.
c. any of several analogous quantities. Compare improper integral, line integral, multiple integral, surface integral.
Origin:
1545–55; < ML integrālis. See integer, -al 1
Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.
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Language Translation for : integral
Spanish: integral, German: das Vollkorn, Japanese: 全粒小麦粉
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in·te·gral     (ĭn'tĭ-grəl, ĭn-těg'rəl)  Pronunciation Key 
adj.  
  1. Essential or necessary for completeness; constituent: The kitchen is an integral part of a house.
  2. Possessing everything essential; entire.
  3. (ĭn'tĭ-grəl) Mathematics
    1. Expressed or expressible as or in terms of integers.
    2. Expressed as or involving integrals.

n.  
  1. A complete unit; a whole.
  2. (ĭn'tĭ-grəl) Mathematics
    1. A number computed by a limiting process in which the domain of a function, often an interval or planar region, is divided into arbitrarily small units, the value of the function at a point in each unit is multiplied by the linear or areal measurement of that unit, and all such products are summed.
    2. A definite integral.
    3. An indefinite integral.


[Middle English, from Old French, from Medieval Latin integrālis, making up a whole, from Latin integer, complete; see integer.]

in'te·gral'i·ty (-grāl'ĭ-tē) n., in'te·gral·ly adv.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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integral 
1471, "of or pertaining to a whole," from M.Fr. intégral (14c.), from M.L. integralis "forming a whole," from L. integer "whole" (see integer).

Online Etymology Dictionary, © 2001 Douglas Harper
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integral

adjective
1. existing as an essential constituent or characteristic; "the Ptolemaic system with its built-in concept of periodicity"; "a constitutional inability to tell the truth" [syn: built-in] 
2. constituting the undiminished entirety; lacking nothing essential especially not damaged; "a local motion keepeth bodies integral"- Bacon; "was able to keep the collection entire during his lifetime"; "fought to keep the union intact" 
3. of or denoted by an integer 

noun
1. the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x) 

WordNet® 3.0, © 2006 by Princeton University.
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integral   (ĭn'tĭ-grəl)  Pronunciation Key 
Adjective   Involving or expressed as an integer or integers.

Noun   See definite integral, indefinite integral.

The American Heritage® Science Dictionary
Copyright © 2002 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Integral

El*lip"tic\, Elliptical \El*lip"tic*al\, a. [Gr. ?: cf. F. elliptique. See Ellipsis.]

1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends.

The planets move in elliptic orbits. --Cheyne.

2. Having a part omitted; as, an elliptical phrase.

Elliptic chuck. See under Chuck.

Elliptic compasses, an instrument arranged for drawing ellipses.

Elliptic function. (Math.) See Function.

Elliptic integral. (Math.) See Integral.

Elliptic polarization. See under Polarization.

Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.

integral

Flu"ent\, n. 1. A current of water; a stream. [Obs.]

2. [Cf. F. fluente.] (Math.) A variable quantity, considered as increasing or diminishing; -- called, in the modern calculus, the function or integral.

Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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