integral

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in·te·gral

(ĭn′tĭ-grəl, ĭn-tĕg′rəl)
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
a. Expressed or expressible as or in terms of integers.
b. Expressed as or involving integrals.
n.
1. A complete unit; a whole.
2. (ĭn′tĭ-grəl) Mathematics
a. 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.
b. A definite integral.
c. 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 (-grăl′ĭ-tē) n.

integral

1. (often foll by to) being an essential part (of); intrinsic (to)
2. intact; entire
3. formed of constituent parts; united
4. (Mathematics) maths
a. of or involving an integral
b. involving or being an integer
n
5. (Mathematics) maths the limit of an increasingly large number of increasingly smaller quantities, related to the function that is being integrated (the integrand). The independent variables may be confined within certain limits (definite integral) or in the absence of limits (indefinite integral). Symbol:
6. a complete thing; whole
integrality n
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

in•te•gral

(ˈɪn tɪ grəl, ɪnˈtɛg rəl)

1. of or belonging as an essential part of the whole; necessary to completeness; constituent: an integral part.
2. composed of parts that together constitute a whole.
3. entire; complete; whole.
4. pertaining to or being an integer; not fractional.
5. pertaining to or involving mathematical integrals.
n.
6. an integral whole.
7. Math.
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.
b. a primitive.
c. any of several analogous quantities.
[1545–55; < Medieval Latin integrālis. See integer, -al1]
in`te•gral′i•ty, n.

in·te·gral

(ĭn′tĭ-grəl)
1. Involving or expressed as an integer or integers.
2. In calculus, the result of integration.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 integral - the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)figuring, reckoning, calculation, computation - problem solving that involves numbers or quantitiesindefinite integral - the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x)definite integral - the integral of a function over a definite interval Adj. 1 integral - existing as an essential constituent or characteristic; "the Ptolemaic system with its built-in concept of periodicity"; "a constitutional inability to tell the truth"intrinsic, intrinsical - belonging to a thing by its very nature; "form was treated as something intrinsic, as the very essence of the thing"- John Dewey 2 integral - 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"whole - including all components without exception; being one unit or constituting the full amount or extent or duration; complete; "gave his whole attention"; "a whole wardrobe for the tropics"; "the whole hog"; "a whole week"; "the baby cried the whole trip home"; "a whole loaf of bread" 3 integral - of or denoted by an integer
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

integral

1. Rituals form an integral part of any human society.
essential
2. This is meant to be an integral service.
whole
Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

integral

1. Constituting or forming part of the essence of something:
2. Lacking nothing essential or normal:
noun
An organized array of individual elements and parts forming and working as a unit:
Translations
integrál
integraali
integral
integrál
heilduntegrun
integral

integral

[ˈɪntɪgrəl]
A. ADJ (= essential) [part] →
it is an integral part of the plan
B. N (Math) →
C. CPD integral calculus N (Math) →
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

integral

an integral part of sth → une partie intégrante de qch
to be an integral part of sth, to form an integral part of sth → faire partie intégrante de qch
an integral element of sth → un élément constitutif de qch, un élément à part entière de qch
an integral component of sth → un composant à part entière de qch
to play an integral role in sth → jouer un rôle à part entière dans qch
to be integral to sth → faire partie intégrante de qchintegral calculus n
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

integral

part (geh); to be integral to something (gen)sein; to play an integral role in somethingeine wesentliche Rolle bei etw spielen
(= whole)
(Math) → Integral-
n (Math) → Integral nt
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

integral

[ˈɪntɪgrl]
1. adj (essential, part) → integrante
to be an integral part of → essere parte integrante di
2. n (Math) →
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Conformational stability and pathogenic misfolding of the integral membrane protein PMP22.
Identification, purification, and partial characterization of a novel Mr 28,000 integral membrane protein from erythrocytes and renal tubules.
(1998) Clofibrate-inducible, 28-kDa peroxisomal integral membrane protein is encoded by PEX11.
In contrast to the major yolk proteins, AQP is an integral membrane protein and a minor constituent of the total protein content of ovarian extracts.
Structurally, AMA1 is a type I integral membrane protein, consisting of an ectoplasmic domain, a transmembrane domain, and a C-terminal cytoplasmic domain [16].
After extraction and phase separation of the total AtCslA2 transformed protoplast proteins, the major percentage of the chimera was detected in the detergent phase confirming that it was an integral membrane protein (Figure 2(b)).
The dopamine transporter (DAT) is an integral membrane protein that is responsible for the reuptake of extraneuronal dopamine (DA) and thus, for terminating dopaminergic neurotransmission.
Both types of tumors are associated with conditions that are inherited in an autosomally dominant manner, such as: multiple endocrine neoplasia type 2 (MEN2), [2] which is due to a mutation in the RET [3] (ret proto-oncogene) protooncogene; von Hippel-Lindau disease (VHL), which is due to a mutation in the VHL (von Hippel-Lindau tumor suppressor) gene; neurofibromatosis type 1 (NF1), caused by mutation in the NF1 (neurofibromin 1) gene; and mutations in succinate dehydrogenase (SDH) subunits B, C, and D, which are encoded by the SDHB [succinate dehydrogenase complex, subunit B, iron sulfur (Ip)], SDHC (succinate dehydrogenase complex, subunit C, integral membrane protein, 15kDa), and SDHD (succinate dehydrogenase complex, subunit D, integral membrane protein) genes.

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