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  • ...on which is varying as the rocket's mass decreases from fuel usage, and an integral can take this complication into account. Finally, within calculus ''integra ...um of their individual areas. This is the basic meaning of integration: an integral is simply a sum of smaller parts that together add up to the whole.
    13 KB (2,303 words) - 16:28, 23 January 2011
  • :''"Intuitively, we can think of an integral as a measure of the totality of an object with an extent in space. "'' :The first sentence could be ''"An integral generalizes the idea of a sum to cover quantities which may be continuously
    6 KB (1,025 words) - 19:36, 3 November 2007
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  • 155 bytes (23 words) - 18:12, 19 June 2008
  • | pagename = Integral | abc = Integral
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  • In [[ring theory]], an '''integral domain''' is a [[commutativity|commutative]] [[ring (mathematics)|ring]] in * A commutative ring is an integral domain if and only if the zero [[ideal]] is [[prime ideal|prime]].
    1,021 bytes (145 words) - 15:11, 30 October 2008
  • ...nputs that differ in only one bit position, with all other bits identical. Integral analysis, for block size b, holds b-k bits constant and runs the other k th
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  • 12 bytes (1 word) - 19:37, 3 November 2007
  • ...spirituality]], and the [[natural sciences]]. <ref>McIntosh, S. (2007). ''Integral Consciousness and the Future of Evolution'', Paragon House: Minnesota</ref>
    428 bytes (52 words) - 02:06, 7 October 2013
  • 12 bytes (1 word) - 15:13, 30 October 2008
  • 12 bytes (1 word) - 00:06, 1 October 2009
  • 12 bytes (1 word) - 10:32, 22 January 2008
  • ...ts of ''S'' satisfying a monic polynomial with coefficients in ''R''. The integral closure is a [[subring]] of ''S''. ...order in an [[algebraic number field]] ''K'', which may be defined as the integral closure of '''Z''' in ''K''.
    1 KB (172 words) - 15:42, 7 February 2009
  • | pagename = integral closure | abc = integral closure
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  • ...considered]] (safety, waste management, weapons proliferation, and cost). "Integral" refers to the on-site reprocessing of the spent fuel. Some of the advanced ...cecouncil.com/pdfs/PlentifulEnergy.pdf ''PLENTIFUL ENERGY The Story of the Integral Fast Reactor''], Charles Till and Yoon Il Chang, 2011.
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  • ==Historical Integral Theorists== ==Post-modern Integral Theorists==
    367 bytes (35 words) - 11:58, 24 January 2008
  • Auto-populated based on [[Special:WhatLinksHere/Integral]]. Needs checking by a human.
    763 bytes (99 words) - 17:28, 11 January 2010
  • This is a catalogue of topics related to [[Integral theory]] and the [[Integral movement]].
    1 member (0 subcategories, 0 files) - 08:20, 23 January 2008
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  • | pagename = Integral domain | abc = Integral domain
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  • 201 bytes (27 words) - 20:42, 14 September 2009
  • | pagename = Integral cryptanalysis | abc = Integral cryptanalysis
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  • | pagename = Integral theory | abc = Integral theory
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  • 119 bytes (17 words) - 15:14, 30 October 2008
  • 189 bytes (22 words) - 00:07, 1 October 2009
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  • 135 bytes (22 words) - 13:39, 1 January 2009
  • #redirect[[Integral theory]]
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  • 58 bytes (6 words) - 11:59, 24 January 2008
  • | pagename = Integral Fast Reactor
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  • Auto-populated based on [[Special:WhatLinksHere/Integral closure]]. Needs checking by a human.
    497 bytes (63 words) - 17:28, 11 January 2010
  • Auto-populated based on [[Special:WhatLinksHere/Integral domain]]. Needs checking by a human.
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  • 83 bytes (10 words) - 06:40, 17 March 2023
  • ...cecouncil.com/pdfs/PlentifulEnergy.pdf ''PLENTIFUL ENERGY The Story of the Integral Fast Reactor''], Charles Till and Yoon Il Chang, 2011.<br>
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  • 895 bytes (142 words) - 12:27, 18 April 2023
  • 7 KB (1,065 words) - 11:05, 7 July 2023
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Page text matches

  • ==Historical Integral Theorists== ==Post-modern Integral Theorists==
    367 bytes (35 words) - 11:58, 24 January 2008
  • ..., developer of [[Integral theory|Integral consciousness theory]] and the [[Integral movement]].
    217 bytes (22 words) - 11:35, 11 November 2009
  • This is a catalogue of topics related to [[Integral theory]] and the [[Integral movement]].
    1 member (0 subcategories, 0 files) - 08:20, 23 January 2008
  • *[[Integral consciousness theory]] *[[Integral movement]]
    129 bytes (13 words) - 23:06, 17 February 2009
  • *[[Integral consciousness theory]] *[[Integral movement]]
    70 bytes (6 words) - 18:30, 3 February 2008
  • ...://matthewdallman.com/ Home page] - includes a number of on-line essays on Integral Art, as well as Dallman's blog ...Integral Tradition] - An essay that establishes Dallman's overall view of integral art
    1,008 bytes (149 words) - 10:23, 2 October 2013
  • ...ns, which relates a line integral around a simple closed curve to a double integral over the enclosed plane region.
    216 bytes (33 words) - 12:15, 15 November 2008
  • {{r|Cosine integral}} {{r|Exponential integral}}
    2 KB (260 words) - 08:13, 9 December 2009
  • ...ts of ''S'' satisfying a monic polynomial with coefficients in ''R''. The integral closure is a [[subring]] of ''S''. ...order in an [[algebraic number field]] ''K'', which may be defined as the integral closure of '''Z''' in ''K''.
    1 KB (172 words) - 15:42, 7 February 2009
  • The integral of a form over the boundary of a manifold equals the integral of the exterior derivative over the manifold.
    156 bytes (24 words) - 06:59, 11 July 2008
  • ...spirituality]], and the [[natural sciences]]. <ref>McIntosh, S. (2007). ''Integral Consciousness and the Future of Evolution'', Paragon House: Minnesota</ref>
    428 bytes (52 words) - 02:06, 7 October 2013
  • #redirect[[Integral theory]]
    28 bytes (3 words) - 10:35, 22 January 2008
  • #REDIRECT [[Integral closure]]
    30 bytes (3 words) - 09:10, 2 January 2009
  • #REDIRECT [[Integral cryptanalysis]]
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  • *[[Integral theory]]
    44 bytes (4 words) - 11:57, 24 January 2008
  • In mathematics, a linear integral operator.
    79 bytes (9 words) - 16:35, 26 May 2023
  • {{r|integral domain}} {{r|integral closure}}
    356 bytes (46 words) - 13:02, 29 November 2008
  • ...development of [[Integral theory|Integral consciousness theory]] and the [[Integral movement]], as well as the globalization of [[Yoga]] as a spiritual practic
    834 bytes (118 words) - 12:55, 15 September 2020
  • (Born 1974) American musician, poet, and scholar, member of the Integral Art movement.
    122 bytes (15 words) - 18:21, 18 September 2009
  • Decomposition to the sum or integral of <math>\scriptstyle{f(x)=e^{-ikx}}</math> functions.
    127 bytes (18 words) - 23:02, 17 February 2009
  • | pagename = Integral | abc = Integral
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  • A general method of proving statements concerning a positive integral variable.
    116 bytes (14 words) - 08:53, 4 September 2009
  • We work out the following integral: The latter integral is easily evaluated by making the substitution
    1 KB (220 words) - 15:08, 8 December 2009
  • The integral closure of a ring in its field of fractions.
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  • ...bly the first "how-I-found-my-faith" sort of memoir of an adherent of the "Integral Spirituality" school of thought that was published and distributed by mains ...a graduate certificate program in Integral Leadership sponsored by Pacific Integral.
    1 KB (182 words) - 04:09, 22 November 2023
  • General class of integral membrane proteins that transport ions across a membrane against an electroc
    188 bytes (22 words) - 16:50, 14 May 2010
  • | pagename = Integral cryptanalysis | abc = Integral cryptanalysis
    963 bytes (98 words) - 03:45, 2 March 2010
  • elementary particle with integral spin; composite system consisting of an even number of [[Matter#Fermion_def
    164 bytes (21 words) - 11:56, 18 January 2011
  • Integral part of the {{tl|R}}, {{tl|Rpl}} and {{tl|Def only}} template function.
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  • Integral part of the {{tl|R}}, {{tl|Rpl}} and {{tl|Def only}} template functions.
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  • Integral part of the {{tl|R}}, {{tl|Rpl}} and {{tl|Def only}} template function.
    94 bytes (15 words) - 01:34, 25 February 2010
  • ...en by [[Mary Baker Eddy]] which, together with the Christian [[Bible]], is integral to Christian Science worship and practice.
    138 bytes (21 words) - 09:56, 25 March 2021
  • | pagename = Integral theory | abc = Integral theory
    768 bytes (73 words) - 15:08, 23 January 2008
  • Integral part of the {{tl|R}}, {{tl|Rpl}}, {{tl|Dabdef}} and {{tl|Def only}} templat
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  • Integral part of the {{tl|R}}, {{tl|Rpl}}, {{tl|Dabdef}} and {{tl|Def only}} templat
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  • ...Combat Team]] with tanks, armored fighting vehicles for its infantry, and integral self-propelled [[M109 howitzer]]s; most powerful but hardest to deploy
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  • In [[ring theory]], an '''integral domain''' is a [[commutativity|commutative]] [[ring (mathematics)|ring]] in * A commutative ring is an integral domain if and only if the zero [[ideal]] is [[prime ideal|prime]].
    1,021 bytes (145 words) - 15:11, 30 October 2008
  • ...n finding Patrizia Norelli-Bachelet's contributions to the Supramental and Integral Yoga, my yoga studies intensified. ...nd informative Supramental Yoga website, discussing Ms. Norelli-Bachelet's Integral and cosmological approach. [http://www.quantumyoga.org] I have recently des
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  • http://www.integralworld.net/index.html?readingroom.html#AK (Integral philosophy and critiques) ...rianic Kabbalah, also general familiarity with all "spiritual" teachings), Integral philosophy (Wilberian and post Wilberian), Comparative Guru phenomenon (a n
    1 KB (158 words) - 04:17, 22 November 2023
  • ...cecouncil.com/pdfs/PlentifulEnergy.pdf ''PLENTIFUL ENERGY The Story of the Integral Fast Reactor''], Charles Till and Yoon Il Chang, 2011.<br>
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  • The integral of a magnetic field over a closed path is equal to the conduction current t
    163 bytes (26 words) - 08:19, 20 June 2008
  • ...plores ideas within the realm of [[art]]. These include [[Integral thought|integral]] as "a living tradition of imaginative fullness through the ages", art as ...a director of [[Integral University]]'s Integral Art Center. His paper "An Integral Art Manifesto" was one of eleven used in the IU's first course ever offered
    2 KB (370 words) - 11:46, 2 February 2023
  • Relates the surface integral of the electric displacement through a closed surface to the electric char
    176 bytes (24 words) - 08:37, 20 June 2008
  • Auxiliary function in the theory of linear differential equations; integral operator with Green function as kernel is the inverse of a linear different
    200 bytes (27 words) - 09:44, 9 January 2009
  • ...words, letters, sentences or other parts of a language as the basis or an integral part of the game, such as [[Scrabble]].
    175 bytes (29 words) - 10:09, 3 November 2011
  • A positive or negative property of matter that occurs as integral multiples of an elementary charge unit, and causes mutual repulsion of like
    250 bytes (34 words) - 14:08, 22 August 2011
  • {{rpl|Integral closure}}
    151 bytes (17 words) - 05:13, 26 September 2013
  • {{rpl|Lebesgue integral}} {{rpl|Riemann integral}}
    3 KB (362 words) - 15:25, 31 October 2014
  • Convolution of real functions by means of an integral are found in [[probability]], [[signal processing]] and [[control theory]]. ==Integral convolutions==
    2 KB (338 words) - 17:41, 23 December 2008
  • ** [[Integral calculus]]
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  • Evaluation of this [[integral]] requires only routine first-year calculus techniques, see [[Pi_(mathemati The problem of showing that this integral evaluates to 22/7&nbsp;&minus;&nbsp;&pi;, perhaps despite its elementary na
    2 KB (219 words) - 15:08, 8 December 2009
  • ...e which plays a part in the operation of potassium ion channels, which are integral membrane proteins and are essential to the correct functioning of the cell,
    293 bytes (44 words) - 08:44, 6 September 2009
  • ...n, multiplication, division, raising to integral powers, and extraction of integral roots. The term is derived from the Greek word άριθμητικη (arithm ...gral numbers is augmented with the [[rational number]]s (quotients of two integral numbers).
    4 KB (562 words) - 18:28, 5 January 2010
  • ...nputs that differ in only one bit position, with all other bits identical. Integral analysis, for block size b, holds b-k bits constant and runs the other k th
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  • *some [[antidifferentiation|indefinite]] and [[integral|definite integration]] *integral transforms
    1 KB (164 words) - 14:01, 18 January 2008
  • ...erty Coalition]], Vice President of [[HSLEADER]]; a founding member of the Integral Institute (promoting new approaches to personal and professional relationsh
    391 bytes (47 words) - 22:52, 9 January 2010
  • ...[[C++]] routine for evaluation of [[tetration]] to base 10 by the [[Cauchi integral]], using its values along the imaginary axis stored at [[f2048ten.inc]] (th // The integral is evaluated using the [[Gauss-Legendre]] quadrature formula; the nodes and
    2 KB (300 words) - 11:24, 2 March 2013
  • ...gnetic charges) do not exist. More technically, Gauss' law states that the integral vanishes of the [[magnetic induction]] '''B''' over any closed surface. Ex ...es a [[dot product]] between the vectors '''B''' and d'''S'''. The double integral is over a closed surface that may envelop one or more permanent magnets a
    3 KB (415 words) - 13:04, 29 March 2009
  • ...ns converging to the function to be integrated, for details see [[Lebesque integral]]. As with almost everything in mathematics, these basic ideas were subsequ [[Lebesque integral]]
    4 KB (604 words) - 05:50, 12 May 2008
  • ...B''' times the area of ''S''. If '''B''' varies across ''S'', &Phi; is the integral The integrand (expression under the integral) is an [[inner product]] of the vector '''B''' and the vector d'''S'''. The
    1 KB (217 words) - 05:55, 11 July 2008
  • the specific approximation of the integral with the sum of N terms, which becomes exact for the polynomial integrand o
    574 bytes (85 words) - 19:43, 30 January 2009
  • ...| first = István | authorlink = | title = Diophantine Equations and Power Integral Bases | publisher = [[Birkhäuser Verlag]] | date = 2002 | location = Bosto
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  • | pagename = integral closure | abc = integral closure
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  • | pagename = Integral domain | abc = Integral domain
    2 KB (229 words) - 15:12, 30 October 2008
  • In physics, a '''fermion''' is a particle with half-integral spin, i.e., an odd multiple of one-half. Examples include the electron, the
    468 bytes (72 words) - 20:43, 12 November 2020
  • Removed from the WP article the integral over spin-weighted spherical harmonics, because I'm not sure that part is c
    439 bytes (61 words) - 14:01, 31 December 2022
  • * A function determining an integral transform, such as a [[Green's function]]
    387 bytes (58 words) - 09:26, 30 September 2009
  • The concept of the [[holon]] is also central to the theory of [[Integral Consciousness]] developed by [[Ken Wilber]]. <ref>Wilber, K. (1995). ''Sex, [[Category:Integral theory Catalogs]]
    2 KB (263 words) - 18:45, 22 September 2008
  • ==Exponential integral related== |[[Exponential integral]]
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  • ...K</math> is a finite extension of <math>K</math> and <math>O</math> is the integral closure of <math>o</math> in <math>L</math>, then <math>O</math> is again a
    2 KB (306 words) - 15:51, 10 December 2008
  • | pagename = Integral Fast Reactor
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  • #Integral scheme
    399 bytes (49 words) - 10:23, 15 September 2009
  • ===Metal Gear Solid: Integral / Metal Gear Solid: Special Missions=== ...Gear Solid Integral for PlayStation Review - PlayStation Metal Gear Solid Integral Review]</ref>. Although it was only released on the PC in [[Japan]], it was
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  • ...Japanese mathematician Kiyoshi Ito, which can be written as the sum of the integral of a process over time and of another process over a [[Brownian Motion]].<b Those processes are the base of [[Stochastic Integral|Stochastic Integration]], and are therefore widely used in [[Financial Math
    5 KB (858 words) - 12:47, 29 December 2008
  • * [[Ampere's law]] Integral relation between magnetic field and current (forerunner of Maxwell equation
    530 bytes (70 words) - 12:42, 31 May 2009
  • {{r|Integral theory}}
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  • ...s|publisher=Oxford University Press|accessdate=22 April 2014}}</ref> It is integral to a good business as good customer service will ensure that the customer r
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  • {{r|Integral equation}}
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  • ...currently in the introduction: ''"More formally, the integers are the only integral domain whose positive elements are well-ordered, and in which order is pres ...ing traumatizing like "The integers form the simplest example of a ring of integral elements over a number field, albeit a special one because its class number
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  • {{r|Integral theory}}
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  • ...onent. This will now be proved directly, without making the detour via the integral expressions for '''A'''('''r''') and &Phi;('''r'''). ==Integral expressions for the transverse and longitudinal components ==
    11 KB (1,756 words) - 14:38, 12 April 2009
  • ...divided into two major branches: '''[[differential calculus]]''' and '''[[integral calculus]]''', concerned with the study of the derivatives and integrals of ...cs. The motivation for the derivative is rather different from that of the integral, yet it turns out that they are very closely related.
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  • {{r|Integral}}
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  • Auto-populated based on [[Special:WhatLinksHere/Integral closure]]. Needs checking by a human.
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  • ...cecouncil.com/pdfs/PlentifulEnergy.pdf ''PLENTIFUL ENERGY The Story of the Integral Fast Reactor''], Charles Till and Yoon Il Chang, 2011.
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  • {{r|Integral}}
    548 bytes (69 words) - 19:56, 11 January 2010
  • ...ard flux of a vector field through a closed surface is equal to the triple integral of the [[divergence]] of the vector field inside the surface. ...orem is that several physical laws can be written in both differential and integral form, see, for instance, [[Gauss' law (electrostatics)|Gauss' law]] for an
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  • {{r|Integral}}
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  • ...rch_constraint=terms&depth=0&query=GO:0016021 {{#if: integral to membrane |integral to membrane|GO:0016021 }}]</span><br> ...straint=terms&depth=0&query=GO:0005887 {{#if: integral to plasma membrane |integral to plasma membrane|GO:0005887 }}]</span><br>
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  • Such disulfide bonds are integral to the structural stability of many proteins.
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  • {{r|Integral domain}}
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  • Racial prejudice has been a longstanding integral part of the Chicago, and indeed the American culture. This is a sad fact t
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  • ...subpage within the article "Integral theory" and the system generated the "Integral theory catalogs" page. ...s is a consequence of the meta-disciplinary and meta-theoretical nature of Integral Theory, which the highly specialized orientation of academic journals and t
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  • ===Integral representations===
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  • ...ns''' of ''R''. A ring can be embedded in a field if and only if it is an integral domain.
    2 KB (312 words) - 09:18, 21 October 2009
  • ...) integration]] can be developed which is much more general than [[Riemann integral|Riemann integration]].
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  • A '''Fourier transform''' is an integral transform,<ref>To transform is to change the form of a figure, expression, ...math> has been transformed into <math>\scriptstyle F</math> with the above integral.
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  • ...er and thinker whose primary focus is the development and exposition of an integral theory of consciousness. His first book, ''[[The Spectrum of Consciousness ...is a consequence of the meta-disciplinary and meta-theoretical nature of [[Integral Theory]], which the highly specialized orientation of academic journals and
    3 KB (420 words) - 18:16, 26 February 2010
  • ...century, proofs were found that require no prerequisite knowledge beyond [[integral calculus]]. One of those is due to [[Ivan Niven]], another to [[Mary Cartw is a positive integer. But by the inequality (*), the integral approaches 0 as ''n'' approaches infinity, and that is impossible for a seq
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  • {{r|Integral}}
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  • ...sity of Texas in Austin, with interests in partial differential equations, integral equations, potential theory, and the calculus of variations. My undergradua
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  • [[Lars Knudsen]] invented a new attack, called [[integral cryptanalysis]] or the '''square attack''', to break Square. It was publish
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  • {{R|Integral equation}}
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  • ...l around a simple closed curve <math>\partial\Omega</math> with the double integral over the plane region <math>\Omega\,</math>. This formula gives a relationship between the area of a region and the line integral around its boundary.
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  • {{r|Integral}}
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  • {{r|Integral}}
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  • ...ction is defined as a solution of a simple [[differential equation]] or an integral of an [[elementary function]], or an [[inverse function]] of some [[element
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  • Auto-populated based on [[Special:WhatLinksHere/Integral]]. Needs checking by a human.
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  • Auto-populated based on [[Special:WhatLinksHere/Integral domain]]. Needs checking by a human.
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  • The argument, first given by Cauchy, hinges on [[Cauchy's integral formula]] and the power series development of the expression ...at open disk but farther from ''a'' than ''z'' is. Starting with Cauchy's integral formula, we have
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  • ...to related functions that were omitted from that section (cf. exponential integral related / incomplete gamma functions in the current revision)
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  • {{r|Cauchy's integral formula}}
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  • {{r|Integral domain}}
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  • ...pril 25, 1840) was a French mathematician known for his work on [[definite integral]]s, [[electromagnetism | electromagnetic theory]] and [[probability theory] [[Poisson's integral]], [[Poisson's equation]] in [[potential theory ]], [[Poisson's brackets]]
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  • {{r|Integral}}
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  • {{r|Integral domain}}
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  • ...tion ''f''(''x'') that vanishes for plus/minus infinity, the result of the integral is minus the function value for ''x'' = 0, ...hy principal value of the integral, i.e., exclude the singularity from the integral; we make the replacement
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  • {{r|Integral}}
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  • [http://www.integralawakening.com Integral Awakening]
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  • ...in which you have a family sine and cosine functions whose frequencies are integral multiples of some fundamental frequency. [[User:Hendra I. Nurdin|Hendra I.
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  • :''"Intuitively, we can think of an integral as a measure of the totality of an object with an extent in space. "'' :The first sentence could be ''"An integral generalizes the idea of a sum to cover quantities which may be continuously
    6 KB (1,025 words) - 19:36, 3 November 2007
  • ...integrand of the integral on the left-hand side may be taken constant, the integral becomes ...is a unit vector perpendicular to &Delta;''S''. The right-hand side is an integral over a small contour, say a small circle, and in total the curl may be writ
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  • ...on which is varying as the rocket's mass decreases from fuel usage, and an integral can take this complication into account. Finally, within calculus ''integra ...um of their individual areas. This is the basic meaning of integration: an integral is simply a sum of smaller parts that together add up to the whole.
    13 KB (2,303 words) - 16:28, 23 January 2011
  • [[integral equation|integral]] and [[functional equation|functional]] equations.
    3 KB (414 words) - 19:32, 16 March 2010
  • The integral operator that has the Green function as kernel may be seen as the inverse o ...'x''''', ''j'' &harr; '''''y''''', and compare the sum over ''j'' with the integral over '''''y''''', and the correspondence is evident.
    10 KB (1,681 words) - 12:22, 11 June 2009
  • ...itance]] of an ideal black body. The study of black-body radiation was an integral step in the formulation of quantum mechanics. ...]] equation. In general, there is no closed-form solution for the definite integral of the Planck blackbody equation; numerical integration techniques must be
    4 KB (537 words) - 09:19, 11 September 2022
  • ...ral]]s of entire functions, for example the [[error function]] erf, [[sine integral]] Si and the [[Bessel function]] ''J''<sub>0</sub> are also entire function ===Cauchy integral===
    6 KB (827 words) - 14:44, 19 December 2008
  • ...formula''' or '''Gauss-Legendre quadrature''' is the approximation of the integral ...decimal logarithm]] of the modulus of the residual of the appdoximation of integral with Gaussian quadrature is shown versus number of terms in the sum, for fo
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  • {{r|Integral}}
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  • {{r|Integral closure}}
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  • ...lisation (ring theory)|localisation]] of a [[commutativity|commutative]] [[integral domain]] at a non-zero [[prime ideal]] is a local ring.
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  • ==[[Differential equation]]s and [[integral equation]]s== In these cases, the equation is called a [[differential equation]] or an [[integral equation]].
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  • My interests in mathematics include integral transforms, tensor calculus and complex analysis. In statistics: stationar
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  • ...ically in [[electrostatics]], Gauss' law is a theorem concerning a surface integral of an [[electric field]] '''E'''. In [[Vacuum (science)|vacuum]] Gauss' law ...e distribution. If the closed surface does not envelop any charge then the integral is zero. The constant &epsilon;<sub>0</sub> is the [[electric constant]].
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  • *[[Scientific_method#Components_of_the_scientific_method|Integral part of the scientific method]]
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  • ...ts include cellular nutrition, anti-aging, chronic disease prevention, and integral wellness promotion.
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  • ...the religious values and culture of the Assamese people, and has become an integral part of the Assamese Hindu community.
    1 KB (164 words) - 07:03, 14 September 2013
  • Integral part of the {{tl|R}}, {{tl|Rpl}} and {{tl|Def only}} template function. This template is an integral part of the {{tl|R}} template function. It produces a standard warning mess
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  • ...German synthetic dye companies a major WWII industrial conglomerate was an integral part of Nazi war production. Executives, 24 of which were indicted in the [
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  • {{r|Integral domain}}
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  • {{r|Integral domain}}
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  • [[Cauchi integral]] is used for evaluation. It is described in [[Mathematics of Computation]] The evaluation uses almost the same algorithm of the Cauchi integral <ref name=analuxp>
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  • ...exts and provides an introduction to other approaches, like [[Feynman path integral]]s.
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  • {{r|Cauchy's integral formula}}
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  • '''Ion pumps''' are a "general class of integral membrane proteins that transport ions across a membrane against an electroc
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  • -Wiener, Norbert. (1989) Fourier Integral and Certain of Its Applications
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  • ...as the fuel and molten sodium as the coolant.<ref name=NatriumSite/> See [[Integral Fast Reactor]] for more discussion of the technology behind this design. ''PLENTIFUL ENERGY The Story of the Integral Fast Reactor'', CHARLES E. TILL and YOON IL CHANG, 2011.
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  • is a vector normal to the surface element d''S'', the contour integral is over a closed, non-intersecting path ''C'' bounding the open, two-sided
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  • M.H.Hooshmand. ”Ultra power and ultra exponential functions”. Integral Transforms and M.H.Hooshmand. ”Ultra power and ultra exponential functions”. [[Integral Transforms and Special Functions]] <b>17</b> (8), 549-558 (2006)
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  • finite [[interval]], finite value, finite [[integral]],
    1 KB (191 words) - 17:30, 15 July 2009
  • |journal=Integral Transforms and Special Functions M.H.Hooshmand. ”Ultra power and ultra exponential functions”. Integral Transforms and
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  • {{r|Integral domain}}
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  • For example, the residue allows to evaluate [[path integral]]s of the function ''f'' via the [[residue theorem]]. This technique finds
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  • *Have integral encryption
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  • I added a link to a proof of the first integral equation in the Orthogonality relations section [[User:Dan Nessett|Dan Ness I didn't like the reference to WP and tried my hand at the integral, which indeed is not difficult. Doing this I found another slip of the pen.
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  • thus the integral equation over all space being equal to one.
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  • ...'''Z'''[''a'']. The powers of such a element ''a'' constitute a '''power integral basis'''.
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  • ...of the values from +''I'' to &minus;''I'', that differ from each other in integral steps. (Note: Difference between different values of ''m'' should be integral; however, actual values of m may be integers or half-integers)
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  • Integral notation: first to use limits of integration on interal sign
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  • ...nt mass'', which by definition has zero extent and yet has a finite-valued integral equal to total mass ''M''. In the limit of a point mass the distribution be ...delta function can be seen as an extension of the [[Kronecker delta]] from integral indices (elements of <font style="vertical-align: 13%"> <math>\mathbb{Z}</m
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  • ...f-sight (BLOS), and satellite (SATCOM) ranges. It is jam-resistant and has integral [[NSA]]-approved encryption.
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  • ...e plays a part in the operation of [[potassium ion channel]]s, which are [[integral membrane proteins]] and are essential to the correct functioning of the cel
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  • {{r|Integral domain}}
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  • ...ces, such as [[howitzer]]s and [[multiple rocket launcher]]s, which are an integral part of a motor vehicle and can move significant distances without being to
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  • ...mber of commentators see the three as harmonious; an example would be the "integral yoga" (''purnayoga'') of [[Sri Aurobindo]].
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  • ...your unique and special capacities." (p. 160)<ref>Wilber, Ken. (2007) The Integral Vision. Shambhala Publications ISBN 978-1-59030-475-4</ref>
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  • ...ecouncil.com/pdfs/PlentifulEnergy.pdf ''Plentiful Energy] The Story of the Integral Fast Reactor'', Charles Till & Yoon Chang, 2011. Chapter 12: ''Nonprolifera
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  • ...up>2</sup> = c and ax<sup>2</sup> + bx = c, and finds two sets of positive integral solutions to a set of simultaneous [[Diophantine equation]]s. ...the general integral solution of the indeterminate linear equation, gives integral solutions of simultaneous indeterminate linear equations, and describes a [
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  • ...an hope) and ''[[Caritas in Veritate]]'' ("Charity in Truth"; in 2009, "On Integral Human Development in Charity and Truth").
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  • one have non-negative exponents, and their integral is finite. of 1/(x+1) or 1/(x-1); so its integral logarithmically diverges
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  • '''Highland dancing''' is the national dance of [[Scotland]]. It is an integral part of nearly every [[Highland games]] event where, in its most common pub ...e, Highland dancing involves not only a combination of steps but also some integral upper body arm and hand movements. Even so, it is still a form of step danc
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  • ===Integral===
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  • By contrast, the definition of [[integral|integration]] in complex analysis involves no surprises. Path integrals and .../math> (i.e., we take <math>\gamma</math> to be the unit circle), then the integral will ''not'' be 0.
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  • ...an a plain file in these systems, because it has a ''history'' which is an integral part of it; the history records every single change made to a page, along w ...onnection to the concept of 'page' in the [[WWW]], where it again means an integral unit of data - although without the additional 'history' [[semantics]] whic
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  • '''Fourier operator''' is linear integral operator with the exponential [[kernel]]. If the integral converges, then, function <math>B</math> is called '''Fourier transform'''
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  • This involves evaluating the overlap integral directly from the definition of the associated Legendre functions given in ''l'' + ''m'' times, where the curly brackets in the integral indicate the factors, the first being
    16 KB (2,776 words) - 12:52, 22 March 2012
  • ...[Discrete Cosine transform]]); it is one of many discrete analogies of the integral operator [[CosFourier]] <math>\displaystyle Then, in the definition of the [[CosFourier]] transform, the integral can be replaced with sum, giving
    6 KB (884 words) - 18:03, 8 September 2020
  • ...re ''u'' is a unit, then ''a'' and ''b'' are associates. If ''R'' is an [[integral domain]], then the converse is true.
    2 KB (359 words) - 18:39, 2 December 2008
  • ...om 1998-2001, I helped develop a multi-tiered clinical program that was an integral part of a larger therapeutic educational program formally cited by the Conn
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  • ...integral or half-integral, depending on whether ''j'' is integral or half-integral. ...'' is integral when ''m'' is integral and half-integral when ''m'' is half integral. Note that ''a''<sup>2</sup> = ''j'' (''j'' + 1).
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  • [[Tetration]], [[Suprfunction]], [[TORI]], [[Cauchi integral]]
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  • A '''Noetherian domain''' is a Noetherian ring which is also an [[integral domain]].
    2 KB (326 words) - 09:55, 23 December 2008
  • ...s is a function that is equal to zero everywhere except for ''x'' = 0; the integral of this function is equal to 1". ...''contradictory''. It does not matter what value is put at ''x'' = 0, the integral of such a function will always be equal to zero. Moreover, if one puts "<m
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  • ...d link to that section. Right now that material sits here because it is an integral part of Reformed Theology now practiced in the world. [[User:Michel van der
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  • ...form a subring denoted by ''O''<sub>''K''</sub>. This may be seen as the [[integral closure]] of the ring of [[integer]]s '''Z''' in ''K''. The ring of intege The ring of integers is an [[integral domain]], but does not in general have the desirable factorisation properti
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  • Important integral relations are: The latter integral for ''n'' = ''m'' = 0
    7 KB (1,150 words) - 07:58, 24 January 2010
  • The ''degree of homogeneity'' ''p'' is a positive integral number.
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  • ...y the total amount of heat absorbed by the system, ''Q'', is written as an integral. The other integrals have the usual definition of [[integral]]s of functions. The final equation (valid for an isobaric process) is
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  • where the sum extends over the set of integral [[ideals]] of ''k'', and <math> \mathfrak{N} (\mathfrak{a}) </math> denotes
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  • where d'''S''' is a vector normal to the surface of the tube. The integral is zero for the long sides of the tube, because '''H''' and d'''S''' are or ...and ''bd'' the integral is zero because of orthogonality. Along ''cd'' the integral is zero because ''cd'' is outside the solenoid, where the field is zero. Al
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  • ...ry positive rational number can be written uniquely as a finite product of integral powers of prime numbers (and such factorization or a rational number corres
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  • ...rent ''I'' is related to the current density '''J'''('''r''') by a surface integral. Since '''J''' is everywhere zero, except over the surface of the wire (blu The surface integral contains the [[inner product]] between the current density '''J''' (a vecto
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  • *The [[Lebesgue integral]] <math> \int_{-\infty}^{\infty} f(s)ds</math> exists and evaluates to exac ...e function <math>F:(-\infty,\infty)\rightarrow [0,1]</math> defined as the integral:
    6 KB (870 words) - 12:20, 15 November 2007
  • ...t'' [[cell]] divides into two or more ''daughter'' cells and is usually an integral part of the [[cell cycle]]. This type of cell division is called ''mitosis'
    2 KB (354 words) - 08:24, 11 December 2011
  • TACAN signals are an integral part of the Joint Tactical Information Distribution System (JTIDS).
    2 KB (357 words) - 16:23, 30 March 2024
  • ...lement (field theory)|primitive element]] α which also generates a [[power integral basis]]. If ''f'' is the minimal polynomial for α then the different is g
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  • ===Definition through the integral=== Usually, the integral representation is used as definition. For <math>\Re(z)>-1</math>, define
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  • ...paragraph or two discussing it informally before the reader sees the first integral equation. [[User:Howard C. Berkowitz|Howard C. Berkowitz]] 14:02, 6 July 20 ...paragraph or two discussing it informally before the reader sees the first integral equation. ''
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  • ...l functions are solutions to differential equations or [[integral equation|integral equations]] of elementary functions. Some examples of special functions are
    8 KB (1,289 words) - 13:46, 26 May 2009
  • ...sigma algebra|&sigma;-algebras]], measures, [[measurable function]]s and [[integral]]s. ...ration]] of more functions than those that are integrable in the [[Riemann integral|Riemann sense]]. To do this, measures may assign ''lengths'' or ''areas'' t
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  • ...year are '''luni-solar calendars''', while calendars that are based on an integral number of lunar months and are not synchronized with the solar year are '''
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  • More formally, the integers are the only [[integral domain]] whose positive elements are [[well-ordered]], and this order is pr ...ics)|ring]] with unity. Adding the last property says that '''Z''' is an [[integral domain]]. In fact, '''Z''' provides the motivation for defining such a stru
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  • ...oting that ''j''<sub>1</sub> - ''j''<sub>2</sub> - ''m''<sub>3</sub> is an integral number and making the substitution
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  • ...integrating Laplace's equation over an infinitely long wire, the original integral form of Biot and Savart is obtained. ...cross section, i.e., '''J''' = '''J'''(<b>r</b>' ), we must use a surface integral over the cross section ''A''. Rather than introducing a surface element, we
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  • The integral on the right hand side becomes We already saw that the integral on the left hand side is the logarithm of ''p''/''p''<sub>0</sub>. hence
    6 KB (1,076 words) - 18:14, 27 August 2009
  • ...c, ordinary differential, partial differential ([[mathematical physics]]), integral, and other mathematical equations.
    3 KB (462 words) - 19:07, 17 May 2010
  • , so that the integral surely is non-zero, then it follows that
    4 KB (652 words) - 19:34, 4 September 2009
  • ...Lawry's claims that it was also "the first to feature a green salad as an integral part of every meal." The roast beef at the restaurant is served from a lar
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  • *Jauhar, Prem P. (2006) Modern biotechnology as an integral supplement to conventional plant breeding: the prospects and challenges. Cr
    3 KB (362 words) - 10:04, 3 May 2009
  • ...esponds to a range of values, say <math>a \le x \le b</math>, so the above integral will tae the more familiar form
    3 KB (390 words) - 07:22, 26 September 2007
  • ...e formation of the United Federation of Planets, the organization which is integral to the rest of the Star Trek franchise.
    2 KB (362 words) - 00:45, 21 February 2010
  • * {{search link|intergral||ns0|ns14|ns100}} (integral) * {{search link|intregal||ns0|ns14|ns100}} (integral)
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  • The NuScale Power Module (NPM) is a 250 megawatts thermal (MWt) integral pressurized
    3 KB (382 words) - 11:52, 19 April 2023
  • ...e course of the 19th century, it was discovered that atomic masses are not integral multiples of the hydrogen mass; now we understand that this is because isot
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  • UTC is also, by definition, always an integral number of seconds (no fractions) different from International Atomic Time (
    3 KB (456 words) - 08:20, 15 March 2023
  • ...l to the good; otherwise, sorry for cluttering up this page. Here are some integral books on the subject (yes, there are thousands!):
    2 KB (354 words) - 02:59, 10 May 2017
  • ...s rusty these days....). Anyway, here goes. Let <math>Y(f)</math> be the integral of the power spectrum. Then, since there is equal power per octave, we mus
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  • ...a. This community has grown significantly over the years and has become an integral part of American society, contributing to various aspects of the country's
    3 KB (391 words) - 08:44, 24 September 2023
  • ...rally fixed and cannot be removed without rupturing the cell. One type of integral protein called the [[transmembrane protein]] spans the membrane, so that it
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  • Large basis sets lead to large integral lists (if ''m'' is the total number of GTOs, the length of the list is prop ...wo different electrons). A four-center integral is reduced to a two-center integral by application of the Gaussian product rule.
    15 KB (2,490 words) - 12:23, 19 April 2009
  • ...ement of air, is a [[meteorology|meteorological]] phenomenon that plays an integral part in activities ranging from the production of [[electricity]] to the cr
    2 KB (406 words) - 21:04, 16 May 2010
  • ...ull-fledged dramatic musical plays, in which music, singing and dance were integral, rather than ancillary to the story. Prior to the Rodgers and Hammerstein
    3 KB (450 words) - 09:49, 28 July 2023
  • ...that a strict <math>1/f</math> spectrum satisfies this if we calculate the integral,
    3 KB (541 words) - 19:57, 18 September 2021
  • ...year are '''luni-solar calendars''', while calendars which are based on an integral number of lunar months and do not keep synchronized with the solar year are
    7 KB (1,134 words) - 13:17, 8 November 2012
  • ===Integral calculus=== *[[Antiderivative]], [[Indefinite integral]]
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  • ...hbf{S}</math> is the current ''di'' through ''d''<b>S</b> and the surface integral is the total current ''i'' through ''S''. Hence,
    3 KB (510 words) - 10:16, 16 July 2008
  • ...orm of the ''S''-unit equation: a notable example is [[Siegel's theorem on integral points]] on curves.
    3 KB (381 words) - 16:02, 28 October 2008
  • ...om 1998-2001, I helped develop a multi-tiered clinical program that was an integral part of a larger therapeutic educational program formally cited by the Conn
    3 KB (455 words) - 04:23, 22 November 2023
  • ...plicitly follow it form the periodic part). The same is true for any other integral base above one, and is also true when rational numbers are considered to be ...ivalent in the above sense. (This construction can be carried out in any [[integral domain]]: see [[field of fractions]].)
    9 KB (1,446 words) - 08:52, 30 May 2009
  • ...ure on the surface of the object. This technique can be imitated by [[line integral convolution]] (LIC) on computers.
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  • Character development is integral to this [[situation comedy|sitcom]]. The characters include:
    3 KB (433 words) - 18:12, 25 December 2013
  • ...ccess July 27, 2020</ref> which, together with the Christian [[Bible]], is integral to [[Christian Science]] worship and practice. It was revised over the las
    3 KB (478 words) - 21:03, 24 October 2021
  • Noether's theorem says that there is a first integral (that is, a preserved quantity) associated with every symmetry. ''is a first integral.''
    8 KB (1,287 words) - 02:30, 24 May 2008
  • In [[physics]], a '''boson''' is an [[elementary particle]] with integral [[spin]]. According to the [[Pauli spin statistics postulate]], systems of ...kind of statistics, now called the Bose-Einstein statistics. (Photons have integral spin 1.)
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  • ...are defined. The total force between two loops is given by the double path integral over the loops ...&times;) indicate [[vector product]]s. The integrand [expression under the integral of Eq. (2)] follows from the [[Biot-Savart's law|Biot-Savart-Laplace]] expr
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  • ...tp://www.simeio.org/pages/details/papers/papers_pool/intbiomath.pdf |title=Integral biomathics: A post-Newtonian view into the logos of bios |journal=Progress
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  • ...In addition, I did not understand from the article, is ''k'' assumed to be integral, or not? If it is then these non-strict inequalities become more rare cases
    3 KB (483 words) - 17:18, 26 February 2010
  • ...tegic Navigation and Deep Design methodologies - ecologically intelligent, integral approaches to real-time design that are now implemented in forward-thinking
    3 KB (451 words) - 04:35, 22 November 2023
  • ...to unity. In the computation we will use the [[bra-ket notation]] for the integral over ''x''<sub>''A''1</sub>, ''y''<sub>''A''1</sub>, and ''z''<sub>''A''1</ We used here that the AOs are normalized to unity and that the overlap integral is real
    8 KB (1,408 words) - 09:47, 24 April 2010
  • Apart from a factor, the electromagnetic momentum is an integral over the [[Poynting vector]]. is a surface integral over [[Maxwell's stress tensor]]. The fact that the mechanical and the elec
    8 KB (1,395 words) - 02:07, 1 September 2009
  • ...y, a [[proof that &pi; is irrational]] that requires no knowledge beyond [[integral calculus]] was discovered.
    4 KB (666 words) - 11:23, 3 October 2009
  • ...tom B, this [[bra-ket notation|bra-ket]] is a ''two-center'' integral, an integral over <math>\scriptstyle \mathbb{R}^3</math> in which the integrand is expre ...ral is either a ''one-center'' integral (if ''A'' = ''B'') or a two-center integral (if ''A'' &ne; ''B'').
    20 KB (3,082 words) - 17:39, 9 December 2008
  • It is an integral component of the [[LAMP|'''LAMP''']] application stack
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  • (notice this integral is actually over a finite region, since <math>f</math> has compact support)
    4 KB (604 words) - 23:44, 30 November 2010
  • * The most important representations: Euler's integral and product, Gauss's product, Weierstrass product, Stirling's series * Various integral and series representations (there are just too many of them; to name a few,
    13 KB (2,136 words) - 15:15, 26 September 2009
  • Control valves are an integral part of the hundreds (or even thousands) of control loops networked togethe
    4 KB (557 words) - 07:50, 8 June 2009
  • * If ''R'' is an [[integral domain]] then so is ''R''[''X''].
    4 KB (604 words) - 23:54, 20 February 2010
  • ...he cyclic group ''G'' generated by the element ''g'' is the set of all the integral powers of the element ''g'' and its inverse. Every cyclic group is abelian, ...u suppose that there is such an element, say ''a'', then ''a''/2 is not an integral multiple of ''a'')
    15 KB (2,535 words) - 20:29, 14 February 2010
  • ...race, Truman insisted that a meaningful civil rights program had to be an integral part of it. Such a program was before Congress during 1949 and the first ha
    3 KB (522 words) - 13:29, 20 March 2023
  • ...h the prisoners had agreed, and she considered religious instruction to be integral. She found a sales outlet for the work produced by the trainees, so that t
    4 KB (569 words) - 07:31, 20 April 2024
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