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integral

 
Dictionary: in·te·gral   (ĭn'tĭ-grəl, ĭn-tĕg'rəl) pronunciation
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.]

integrality in'te·gral'i·ty (-grăl'ĭ-tē) n.
integrally in'te·gral·ly adv.

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Thesaurus: integral
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adjective

  1. Constituting or forming part of the essence of something: basic, constitutional, constitutive, essential, fundamental, vital. See be, surface/depth.
  2. Lacking nothing essential or normal: complete, entire, full, intact, perfect, whole. See part/whole.

noun

    An organized array of individual elements and parts forming and working as a unit: entity, sum, system, totality, whole. See part/whole.

Antonyms: integral
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adj

Definition: complete
Antonyms: accessory, fractional, part, partial, supplementary

adj

Definition: necessary, basic
Antonyms: extrinsic, incidental, peripheral, secondary, supplemental, unnecessary



Fundamental concept of calculus related to areas and other quantities modeled by functions. A definite integral gives the area between the graph of a function and the horizontal axis between vertical lines at the endpoints of an interval. It also calculates the net change in a system over an interval, thus leading to formulas for the work done by a varying force or the distance traveled by an object moving at varying speeds. When only the function is given, with no interval, it is known as an indefinite integral. The process of solving either a definite or an indefinite integral is called integration. According to the fundamental theorem of calculus, a definite integral can be calculated by using its antiderivative (a function whose rate of change, or derivative, equals the function being integrated). Integrals extend to higher dimensions through multiple integrals. See also line integral; surface integral.

For more information on integral, visit Britannica.com.

Veterinary Dictionary: integral
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Essential component, part of a whole.

  • i. membrane protein — see membrane proteins.
  • i. proteins — membrane proteins essential to the structure and function of membranes. See membrane proteins.
Word Tutor: integral
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pronunciation

IN BRIEF: Essential to making something complete.

pronunciation Remember: if you can cease all restless activity, your integral nature will appear. — Lao Tzu (c.604-531 B.C.), Chinese philosopher & mystic.

Wikipedia: INTEGRAL
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International Gamma-Ray Astrophysics Laboratory (INTEGRAL)
Artist's illustration of INTEGRAL in orbit (credit: ESA)
Artist's illustration of INTEGRAL in orbit (credit: ESA)
General information
NSSDC ID 2002-048A
Organization ESA / NASA / RKA
Launch date 17 October 2002
Launched from Baikonur Cosmodrome
Launch vehicle Proton-K
Mission length 6 years, 11 months, and 25 days elapsed
Mass over 4,000 kg
Orbit height 13,000 km (perigee)
153,000 km (apogee)
Orbit period 72 hr
Location Earth orbit
Telescope style coded mask
Wavelength gamma ray
Diameter 3.7 m
Collecting area 500 cm² (SPI, JEM-X)
3,100 cm² (IBIS)
Focal length ~ 4 meters
Instruments
SPI spectrometer
IBIS imager
JEM-X X-ray monitor
OMC optical monitor
Website ESA INTEGRAL

The European Space Agency's INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) is an operational Earth satellite, launched in 2002 for detecting some of the most energetic radiation that comes from space. It is the most sensitive gamma ray observatory ever launched.[1]

INTEGRAL is an ESA mission in cooperation with the Russian Space Agency and NASA. It has had some notable successes, for example in detecting a mysterious 'iron quasar'. It has also had great success in investigating gamma-ray bursters and evidence for black holes.[2]

Contents

Mission

Because gamma rays and X-rays cannot penetrate Earth's atmosphere, direct observations must be made from space. INTEGRAL was launched from Baikonur spaceport, in Kazakhstan. The 2002 launch aboard a Proton-DM2 rocket achieved a 700 km perigee. The onboard thrusters then raised the perigee out of the residual atmosphere, and the worst regions of the radiation belts. The apogee was trimmed with the thrusters to synchronize with Earth's rotation, and thus, the satellite's ground stations.

INTEGRAL's operational orbit has a period of 72 hours, and has a high eccentricity, with perigee close to the Earth at 10,000 km, within the magnetospheric radiation belt. However, most of each orbit is spent outside this region, where scientific observations may take place. It reaches a furthest distance from Earth (apogee) of 153,000 km. The apogee was placed in the northern hemisphere, to reduce time spent in damaging eclipses, and maximize contact time over the ground stations in the northern hemisphere.

It is controlled from ESOC in Darmstadt, Germany, ESA's control centre, through ground stations in Belgium (Redu) and California (Goldstone).

Fuel usage is within predictions. INTEGRAL has already exceeded its 2.2-year planned lifetime; barring mechanical failures, it should continue to function for six years or more.

Spacecraft

The spacecraft body ("service module") is a copy of the XMM-Newton body. This saved development costs and simplified integration with infrastructure and ground facilities. (An adapter was necessary to mate with the different booster, though.) However, the denser instruments used for gamma rays and hard X-rays make INTEGRAL the heaviest scientific payload ever flown by ESA.

The body is constructed largely of composites. Propulsion is by a hydrazine monopropellant system, containing 544 kg of fuel in four exposed tanks. The titanium tanks were charged with gas to 24 bar (2.4 MPa) at 30 °C, and have tank diaphragms. Attitude control is via a star tracker, multiple Sun sensors, and multiple momentum wheels. The dual solar arrays, spanning 16 meters when deployed and producing 2.4 kW BoL, are backed up by dual nickel-cadmium battery sets.

The instrument structure ("payload module") is also composite. A rigid base supports the detector assemblies, and an H-shaped structure holds the coded masks approximately 4 meters above their detectors. The payload module can be built and tested independently from the service module, reducing cost.

Alenia Spazio was the spacecraft prime contractor.

Instruments

Four instruments are coaligned to study a target across several ranges. The coded masks were led by the University of Valencia, Spain.

The INTEGRAL imager, IBIS (Imager on-Board the INTEGRAL Satellite) observes from 15 keV (hard X-rays) to 10 MeV (gamma rays). Mechanical resolution is 12 arcmin, but deconvolution can reduce that to as little as 1 arcmin. A 95 x 95 mask of rectangular tungsten tiles sits 3.2 meters above the detectors. The detector system contains a forward plane of 128 x 128 Cadmium-Telluride tiles (ISGRI- Integral Soft Gamma-Ray Imager), backed by a 64 x 64 plane of Caesium-Iodide tiles (PICsIT- Pixellated Caesium-Iodide Telescope). ISGRI is sensitive up to 500 keV, while PICsIT extends to 10 MeV. Both are surrounded by passive shields of tungsten and lead.

The primary spectrometer aboard INTEGRAL is SPI, the SPectrometer for INTEGRAL. It observes radiation between 20 keV and 8 MeV. SPI consists of a coded mask of hexagonal tungsten tiles, above a detector plane of 19 germanium crystals (also packed hexagonally). The Ge crystals are actively cooled with a mechanical system, and give an energy resolution of 2 keV at 1 MeV.

IBIS and SPI need a method to stop background radiation. The SPI ACS (AntiCoincidence Shield) consists of a mask shield and a detector shield. The mask shield is a layer of plastic scintillator behind the tungsten tiles. It absorbs secondary radiation produced by impacts on the tungsten. The rest of the shield consists of BGO scintillator tiles around the sides and back of the SPI.

The enormous area of the ACS that results makes it an instrument in its own right. Its all-sky coverage and sensitivity make it a natural gamma-ray burst detector, and a valued component of the IPN (InterPlanetary Network). Recently, new algorithms allow the ACS to act as a telescope, through double Compton scattering. Thus ACS can study objects outside the field of view of the other instruments, with surprising spatial and energy resolution.

Dual JEM-X units provide additional information on targets. They observe in soft and hard X-rays, from 3 to 35 keV. Aside from broadening the spectral coverage, imaging is more precise due to the shorter wavelength. Detectors are gas scintillators (xenon plus methane) in a microstrip layout, below a mask of hexagonal tiles.

INTEGRAL mounts an Optical Monitor (OMC), sensitive from 500 to 850 nm. It acts as both a framing aid, and can note the activity and state of some brighter targets.

The spacecraft also mounts a radiation monitor, INTEGRAL Radiation Environment Monitor (IREM), to note the orbital background for calibration purposes. IREM has an electron and a proton channel, though radiation up to cosmic rays can be sensed. Should the background exceed a preset threshold, IREM can shut down the instruments.

References

  1. ^ Teegarden, B. J., Sturner, S. J. (April 1999). "INTEGRAL Observations of Gamma-Ray Bursts". American Astronomical Society, HEAD meeting #4, #17.01; Bulletin of the American Astronomical Society 31: 717. Bibcode1999HEAD....4.1701T. 
  2. ^ "Integral overview". ESA. 2007-04-13. http://www.esa.int/esaSC/120374_index_0_m.html. 

External links


Translations: Integral
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Dansk (Danish)
adj. - nødvendig, uløselig, uadskillelig, integreret, indbygget, udelt
n. - integral, hele, helhed

idioms:

  • integral calculus    integralregning

Nederlands (Dutch)
integraal, geheel, integrerend

Français (French)
adj. - intégrant, (Tech) incorporé, intégré (un garage), (Math) intégral, intégral
n. - intégrale

idioms:

  • integral calculus    calcul intégral

Deutsch (German)
adj. - integral, wesentlich, vollständig
n. - Integral

idioms:

  • integral calculus    Integralrechnung

Ελληνική (Greek)
adj. - ακέραιος, ενιαίος, αναπόσπαστος, ενσωματωμένος
n. - (μαθημ.) ολοκλήρωμα

idioms:

  • integral calculus    ολοκληρωτικός λογισμός

Italiano (Italian)
integrale

idioms:

  • integral calculus    calcolo integrale

Português (Portuguese)
adj. - integral
n. - integral (f) (Mat.)

idioms:

  • integral calculus    cálculo (m) integral

Русский (Russian)
неотъемлемый, полный, итеграл

idioms:

  • integral calculus    интегральное исчисление

Español (Spanish)
adj. - íntegro, integrante, integral
n. - integral, totalidad

idioms:

  • integral calculus    cálculo integral

Svenska (Swedish)
adj. - integrerande, väsentlig, hel, integral- (matem.)
n. - integral (matem.)

中文(简体)(Chinese (Simplified))
整体的, 积分的, 整数的, 积分, 整数

idioms:

  • integral calculus    积分学

中文(繁體)(Chinese (Traditional))
adj. - 整體的, 積分的, 整數的
n. - 積分, 整數

idioms:

  • integral calculus    積分學

한국어 (Korean)
adj. - 완전한, 빠뜨릴 수 없는, 정수의
n. - 전체, 적분, (수학)정수

日本語 (Japanese)
adj. - 絶対必要な, 完全な, 整数の, 必要な
n. - 全体, 積分, 整数

idioms:

  • integral calculus    積分学

العربيه (Arabic)
‏(صفه) متمم, مكمل, صحيح ( غير كسري) (الاسم) كل متكامل‏

עברית (Hebrew)
adj. - ‮של מספר שלם, לא נפרד, אינטגרלי‬
n. - ‮אינטגרל, פונקציה העונה על משוואה דיפרנציאלית‬


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