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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
- ...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 th1 KB (171 words) - 05:48, 8 April 2024
- 155 bytes (23 words) - 18:12, 19 June 2008
- 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
- ...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
- 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
- #redirect[[Integral theory]]28 bytes (3 words) - 10:35, 22 January 2008
- 201 bytes (27 words) - 20:42, 14 September 2009
- ==Historical Integral Theorists== ==Post-modern Integral Theorists==367 bytes (35 words) - 11:58, 24 January 2008
- 189 bytes (22 words) - 00:07, 1 October 2009
- ...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, 2011.12 KB (1,882 words) - 11:17, 21 April 2024
- 119 bytes (17 words) - 15:14, 30 October 2008
- 135 bytes (22 words) - 13:39, 1 January 2009
- Auto-populated based on [[Special:WhatLinksHere/Integral]]. Needs checking by a human.763 bytes (99 words) - 17:28, 11 January 2010
- 12 bytes (1 word) - 10:33, 22 January 2008
- 58 bytes (6 words) - 11:59, 24 January 2008
- 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>311 bytes (47 words) - 02:42, 7 April 2024
- 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.675 bytes (89 words) - 17:28, 11 January 2010
- 7 KB (1,065 words) - 11:05, 7 July 2023
- 895 bytes (142 words) - 12:27, 18 April 2023
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
- *[[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 art1,008 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 closure]]30 bytes (3 words) - 09:10, 2 January 2009
- #redirect[[Integral theory]]28 bytes (3 words) - 10:35, 22 January 2008
- #REDIRECT [[Integral cryptanalysis]]36 bytes (3 words) - 11:32, 9 August 2009
- *[[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 practic834 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
- 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 substitution1 KB (220 words) - 15:08, 8 December 2009
- The integral closure of a ring in its field of fractions.93 bytes (14 words) - 13:30, 2 January 2009
- General class of integral membrane proteins that transport ions across a membrane against an electroc188 bytes (22 words) - 16:50, 14 May 2010
- elementary particle with integral spin; composite system consisting of an even number of [[Matter#Fermion_def164 bytes (21 words) - 11:56, 18 January 2011
- ...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
- ...Combat Team]] with tanks, armored fighting vehicles for its infantry, and integral self-propelled [[M109 howitzer]]s; most powerful but hardest to deploy213 bytes (29 words) - 20:15, 10 August 2010
- 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
- ...cecouncil.com/pdfs/PlentifulEnergy.pdf ''PLENTIFUL ENERGY The Story of the Integral Fast Reactor''], Charles Till and Yoon Il Chang, 2011.<br>311 bytes (47 words) - 02:42, 7 April 2024
- The integral of a magnetic field over a closed path is equal to the conduction current t163 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 offered2 KB (370 words) - 11:46, 2 February 2023
- Relates the surface integral of the electric displacement through a closed surface to the electric char176 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 different200 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 like250 bytes (34 words) - 14:08, 22 August 2011
- {{rpl|Integral closure}}151 bytes (17 words) - 05:13, 26 September 2013
- 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]]478 bytes (48 words) - 09:33, 31 December 2008
- 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 − π, perhaps despite its elementary na2 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 th1 KB (171 words) - 05:48, 8 April 2024
- *some [[antidifferentiation|indefinite]] and [[integral|definite integration]] *integral transforms1 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 relationsh391 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 and2 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 a3 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'', Φ is the integral The integrand (expression under the integral) is an [[inner product]] of the vector '''B''' and the vector d'''S'''. The1 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 o574 bytes (85 words) - 19:43, 30 January 2009
- ...| first = István | authorlink = | title = Diophantine Equations and Power Integral Bases | publisher = [[Birkhäuser Verlag]] | date = 2002 | location = Bosto517 bytes (60 words) - 12:48, 3 January 2013
- In physics, a '''fermion''' is a particle with half-integral spin, i.e., an odd multiple of one-half. Examples include the electron, the468 bytes (72 words) - 20:43, 12 November 2020
- * 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]]8 KB (1,184 words) - 14:58, 8 December 2009
- ...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 a2 KB (306 words) - 15:51, 10 December 2008
- #Integral scheme399 bytes (49 words) - 10:23, 15 September 2009
- ...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 Math5 KB (858 words) - 12:47, 29 December 2008
- * [[Ampere's law]] Integral relation between magnetic field and current (forerunner of Maxwell equation530 bytes (70 words) - 12:42, 31 May 2009
- {{r|Integral theory}}430 bytes (55 words) - 20:23, 11 January 2010
- ...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 r644 bytes (89 words) - 23:27, 21 April 2014
- {{r|Integral equation}}659 bytes (72 words) - 10:05, 12 June 2009
- {{r|Integral theory}}452 bytes (59 words) - 17:17, 11 January 2010
- ...onent. This will now be proved directly, without making the detour via the integral expressions for '''A'''('''r''') and Φ('''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.5 KB (912 words) - 09:26, 29 May 2009
- {{r|Integral}}572 bytes (72 words) - 02:47, 8 November 2008
- Auto-populated based on [[Special:WhatLinksHere/Integral closure]]. Needs checking by a human.497 bytes (63 words) - 17:28, 11 January 2010
- {{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 an4 KB (639 words) - 10:31, 19 June 2009
- {{r|Integral}}522 bytes (67 words) - 17:58, 11 January 2010
- ...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>11 KB (1,519 words) - 11:17, 11 May 2009
- Such disulfide bonds are integral to the structural stability of many proteins.632 bytes (96 words) - 07:51, 8 June 2009
- {{r|Integral domain}}516 bytes (65 words) - 16:01, 11 January 2010
- ===Integral representations===3 KB (459 words) - 07:58, 13 July 2012
- ...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]].2 KB (314 words) - 16:35, 27 November 2008
- 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.3 KB (547 words) - 07:21, 24 December 2008
- ...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 and3 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 seq2 KB (325 words) - 06:31, 15 September 2009
- {{r|Integral}}629 bytes (80 words) - 17:36, 11 January 2010
- [[Lars Knudsen]] invented a new attack, called [[integral cryptanalysis]] or the '''square attack''', to break Square. It was publish659 bytes (101 words) - 05:48, 8 April 2024
- {{R|Integral equation}}572 bytes (67 words) - 07:18, 2 October 2008
- ...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.3 KB (549 words) - 20:34, 19 February 2009
- {{r|Integral}}682 bytes (88 words) - 10:48, 4 October 2013
- {{r|Integral}}684 bytes (86 words) - 16:46, 11 January 2010
- ...ction is defined as a solution of a simple [[differential equation]] or an integral of an [[elementary function]], or an [[inverse function]] of some [[element716 bytes (101 words) - 16:51, 8 December 2009
- Auto-populated based on [[Special:WhatLinksHere/Integral]]. Needs checking by a human.763 bytes (99 words) - 17:28, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Integral domain]]. Needs checking by a human.675 bytes (89 words) - 17:28, 11 January 2010
- 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 have4 KB (730 words) - 15:17, 8 December 2009
- {{r|Cauchy's integral formula}}670 bytes (80 words) - 08:52, 7 August 2008
- {{r|Integral domain}}770 bytes (96 words) - 19:39, 11 January 2010
- ...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]]2 KB (317 words) - 11:12, 5 October 2009
- {{r|Integral}}856 bytes (107 words) - 16:19, 11 January 2010
- {{r|Integral domain}}858 bytes (112 words) - 15:35, 11 January 2010
- ...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 replacement5 KB (796 words) - 13:09, 24 December 2008
- {{r|Integral}}774 bytes (100 words) - 18:05, 11 January 2010
- ...integrand of the integral on the left-hand side may be taken constant, the integral becomes ...is a unit vector perpendicular to Δ''S''. The right-hand side is an integral over a small contour, say a small circle, and in total the curl may be writ7 KB (1,067 words) - 07:27, 23 October 2021
- ...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'' ↔ '''''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 be4 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 fo4 KB (630 words) - 12:32, 11 June 2009
- {{r|Integral}}1 KB (136 words) - 11:36, 11 January 2010
- {{r|Integral closure}}843 bytes (113 words) - 10:49, 11 January 2010
- ...lisation (ring theory)|localisation]] of a [[commutativity|commutative]] [[integral domain]] at a non-zero [[prime ideal]] is a local ring.844 bytes (130 words) - 12:09, 2 January 2009
- ==[[Differential equation]]s and [[integral equation]]s== In these cases, the equation is called a [[differential equation]] or an [[integral equation]].6 KB (951 words) - 05:01, 8 December 2009
- ...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 ε<sub>0</sub> is the [[electric constant]].6 KB (988 words) - 17:21, 2 November 2021
- ...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
- ...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 [1 KB (160 words) - 22:39, 31 December 2013
- {{r|Integral domain}}1 KB (169 words) - 19:54, 11 January 2010
- {{r|Integral domain}}1 KB (174 words) - 20:03, 11 January 2010
- [[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>6 KB (929 words) - 05:34, 2 September 2014
- ...exts and provides an introduction to other approaches, like [[Feynman path integral]]s.2 KB (197 words) - 09:40, 28 March 2011
- {{r|Cauchy's integral formula}}1 KB (162 words) - 07:35, 9 January 2011
- '''Ion pumps''' are a "general class of integral membrane proteins that transport ions across a membrane against an electroc956 bytes (129 words) - 23:02, 18 June 2008
- -Wiener, Norbert. (1989) Fourier Integral and Certain of Its Applications1 KB (153 words) - 04:43, 24 February 2009
- ...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, 2011.3 KB (532 words) - 14:13, 12 November 2023
- 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-sided1 KB (176 words) - 10:16, 19 July 2008
- 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)5 KB (668 words) - 21:17, 2 November 2013
- 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 and4 KB (444 words) - 02:34, 14 August 2009
- {{r|Integral domain}}1 KB (187 words) - 20:18, 11 January 2010
- For example, the residue allows to evaluate [[path integral]]s of the function ''f'' via the [[residue theorem]]. This technique finds1 KB (227 words) - 16:56, 12 November 2008
- *Have integral encryption1 KB (175 words) - 17:57, 1 April 2024
- ...'''Z'''[''a'']. The powers of such a element ''a'' constitute a '''power integral basis'''.1 KB (208 words) - 16:47, 17 December 2008
- ...of the values from +''I'' to −''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)4 KB (645 words) - 14:04, 28 March 2011
- Integral notation: first to use limits of integration on interal sign1 KB (184 words) - 13:47, 27 July 2020
- ...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}</m14 KB (2,220 words) - 12:28, 26 October 2021
- ...f-sight (BLOS), and satellite (SATCOM) ranges. It is jam-resistant and has integral [[NSA]]-approved encryption.1 KB (182 words) - 17:57, 1 April 2024
- ...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 cel2 KB (245 words) - 09:23, 14 September 2013
- {{r|Integral domain}}2 KB (247 words) - 06:00, 7 November 2010
- ...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 to2 KB (249 words) - 09:42, 29 March 2024
- ...mber of commentators see the three as harmonious; an example would be the "integral yoga" (''purnayoga'') of [[Sri Aurobindo]].2 KB (251 words) - 14:15, 12 January 2024
- ...your unique and special capacities." (p. 160)<ref>Wilber, Ken. (2007) The Integral Vision. Shambhala Publications ISBN 978-1-59030-475-4</ref>4 KB (685 words) - 09:51, 19 September 2013
- ...ecouncil.com/pdfs/PlentifulEnergy.pdf ''Plentiful Energy] The Story of the Integral Fast Reactor'', Charles Till & Yoon Chang, 2011. Chapter 12: ''Nonprolifera2 KB (252 words) - 15:28, 21 April 2024
- ...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 [8 KB (1,117 words) - 08:22, 5 December 2011
- ...an hope) and ''[[Caritas in Veritate]]'' ("Charity in Truth"; in 2009, "On Integral Human Development in Charity and Truth").1 KB (207 words) - 14:07, 2 February 2023
- '''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 danc6 KB (927 words) - 13:13, 3 November 2007
- ===Integral===8 KB (1,339 words) - 13:11, 8 August 2021
- 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 0.6 KB (1,077 words) - 19:25, 29 September 2020
- ...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]] whic5 KB (817 words) - 13:17, 2 February 2023
- '''Fourier operator''' is linear integral operator with the exponential [[kernel]]. If the integral converges, then, function <math>B</math> is called '''Fourier transform'''11 KB (1,589 words) - 08:58, 9 September 2020
- 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 being16 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, giving6 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
- ...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).16 KB (2,632 words) - 04:33, 23 September 2021
- [[Tetration]], [[Suprfunction]], [[TORI]], [[Cauchi integral]]2 KB (346 words) - 03:07, 2 September 2014
- 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 "<m5 KB (786 words) - 21:28, 19 February 2010
- ...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 properti7 KB (1,077 words) - 17:18, 10 January 2009
- Important integral relations are: The latter integral for ''n'' = ''m'' = 07 KB (1,150 words) - 07:58, 24 January 2010
- The ''degree of homogeneity'' ''p'' is a positive integral number.2 KB (279 words) - 03:50, 23 June 2009
- ...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) is5 KB (786 words) - 15:36, 2 December 2009
- where the sum extends over the set of integral [[ideals]] of ''k'', and <math> \mathfrak{N} (\mathfrak{a}) </math> denotes2 KB (343 words) - 07:23, 1 January 2009
- 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. Al8 KB (1,392 words) - 07:40, 3 December 2009
- ...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 corres2 KB (371 words) - 00:36, 2 February 2009
- ...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 vecto6 KB (972 words) - 16:59, 27 October 2021
- *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 g2 KB (382 words) - 09:40, 12 June 2009
- ===Definition through the integral=== Usually, the integral representation is used as definition. For <math>\Re(z)>-1</math>, define22 KB (3,358 words) - 09:31, 10 October 2013
- ...l functions are solutions to differential equations or [[integral equation|integral equations]] of elementary functions. Some examples of special functions are8 KB (1,289 words) - 13:46, 26 May 2009
- ...sigma algebra|σ-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'' t14 KB (2,350 words) - 17:37, 10 November 2007
- ...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 '''6 KB (968 words) - 01:12, 14 February 2010
- 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 stru10 KB (1,566 words) - 08:34, 2 March 2024
- ...oting that ''j''<sub>1</sub> - ''j''<sub>2</sub> - ''m''<sub>3</sub> is an integral number and making the substitution3 KB (444 words) - 13:59, 31 December 2022
- ...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, we11 KB (1,702 words) - 13:31, 22 April 2011
- 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>. hence6 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 that4 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 lar2 KB (395 words) - 15:33, 8 March 2023
- *Jauhar, Prem P. (2006) Modern biotechnology as an integral supplement to conventional plant breeding: the prospects and challenges. Cr3 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 form3 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)16 KB (2,039 words) - 09:16, 2 March 2024
- The NuScale Power Module (NPM) is a 250 megawatts thermal (MWt) integral pressurized3 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 isot7 KB (1,066 words) - 05:40, 6 March 2024
- 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
- ...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's3 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 it8 KB (1,202 words) - 06:30, 8 June 2009
- 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 cr2 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 Hammerstein3 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 are7 KB (1,134 words) - 13:17, 8 November 2012
- ...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
- ...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.3 KB (511 words) - 19:14, 23 February 2008
- 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 las3 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.)13 KB (2,014 words) - 04:59, 1 November 2013
- ...are defined. The total force between two loops is given by the double path integral over the loops ...×) indicate [[vector product]]s. The integrand [expression under the integral of Eq. (2)] follows from the [[Biot-Savart's law|Biot-Savart-Laplace]] expr14 KB (2,145 words) - 11:48, 21 April 2011
- ...tp://www.simeio.org/pages/details/papers/papers_pool/intbiomath.pdf |title=Integral biomathics: A post-Newtonian view into the logos of bios |journal=Progress4 KB (566 words) - 23:01, 18 October 2011
- ...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 real8 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 elec8 KB (1,395 words) - 02:07, 1 September 2009
- ...y, a [[proof that π 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'' ≠ ''B'').20 KB (3,082 words) - 17:39, 9 December 2008
- It is an integral component of the [[LAMP|'''LAMP''']] application stack3 KB (520 words) - 10:46, 25 July 2008
- (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
- Control valves are an integral part of the hundreds (or even thousands) of control loops networked togethe4 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 ha3 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 t4 KB (569 words) - 07:31, 20 April 2024
- Acids play an integral role in the metabolic functions of animals, in chemistry, material science,4 KB (691 words) - 08:05, 15 March 2024
- ...uality of agency, or self-directed behavior. <ref>Wilber, K. (2007). ''The integral vision.'' Shambhala Publications: Boston.</ref> The individual holon, altho4 KB (594 words) - 06:57, 18 March 2014
- ...op de toepassingen in de natuurwetenschap'' [Texbook of differential- and integral-calculus and first principles of analytic geometry with special attention t4 KB (579 words) - 04:44, 24 November 2008
- ...sage include deception, [[counterintelligence]] and [[concealment]], as an integral part of all planning, in which the highest levels of command are involved.<4 KB (517 words) - 14:13, 6 April 2024
- In the special case ''k'' = 2 this is of course the integral of <math>1/x</math>, which yields, ...hat the mean is finite only if ''k'' > 2, since for ''k'' ≤ 2 the above integral [[divergent series|diverges]].9 KB (1,454 words) - 08:23, 18 October 2013
- ...l formula for factorials with some more work, by deploying tools such as [[integral]]s and [[limit (mathematics)|limit]]s from [[calculus]]. It is this non-ele ===Euler's integral definition===32 KB (5,024 words) - 12:05, 22 December 2008
- ...olutionary step that the energies of these oscillators are discrete, i.e., integral multiples of small energies—quanta. But Planck had not yet made the s4 KB (577 words) - 13:21, 3 November 2021
- ...t. It is an accounting convention that has several applications, and is an integral valuation tool used in keeping efficient and accurate books.4 KB (728 words) - 11:53, 2 February 2023
- :* '''/lib''' -- This is the depository of all integral UNIX system libraries.4 KB (692 words) - 19:24, 26 July 2008
- ...processors in a 6 RU high rack-mounted chassis. A blade server chassis has integral network interfaces and management tools, although it tends not to have much4 KB (584 words) - 11:15, 28 July 2010
- ...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, 2011.12 KB (1,882 words) - 11:17, 21 April 2024
- | [[Metal Gear Solid: Integral]] ...Gear Solid Integral for PlayStation Review - PlayStation Metal Gear Solid Integral Review]</ref>.16 KB (2,664 words) - 10:11, 1 February 2023
- and then replace the sum by a volume integral. ...indicate the presence of charges outside the volume covered by the triple integral. We assume that there are no such charges and hence that ''F'' = 0. (This a13 KB (2,015 words) - 10:16, 21 October 2021
- ...e other — element ''Y'', say — will compute as ratios of small integral (whole) numbers — viz., ''Z'':''Y'' = 2:1 or 3:1 or 3:2, etc. ...n a compound A<sub>m</sub>B<sub>n</sub>C<sub>k</sub>⋅⋅⋅ are integral numbers (integers). In other words, the law applies to the ratio of the dif11 KB (1,717 words) - 18:42, 4 January 2012
- ...human cell has 46 chromosomes (diploidy or 2''n''), which is an [[integer|integral]] multiple of the basic set of 23 chromosomes found in the sperm and eggs (9 KB (1,447 words) - 15:20, 19 March 2010
- ...]], designed by [[Joan Daemen]] and [[Vincent Rijmen]]. Knudsen invented [[integral cryptanalysis]] to break that. [[David Wagner]] invented another new techni5 KB (823 words) - 20:23, 19 September 2011
- ...tically integrable]] (has finite [[norm]]), which means that the following integral is finite, ...d being real and non-negative, the integral is real and non-negative. The integral is zero if and only if χ<sub>'' i''</sub> is the zero function.14 KB (2,265 words) - 05:37, 6 March 2024
- The normalization constant is computed from the integral5 KB (822 words) - 17:36, 14 November 2007
- ...ipment from excessive pressure. The bypass valve and bypass path can be an integral part of the pump or compressor or externally installed as an alternate pat4 KB (611 words) - 03:24, 27 October 2013
- ...urve for the duration of the positive phase, or, stated more formally, the integral of pressure over time. This is approximately half the peak pressure multipl5 KB (725 words) - 17:02, 22 March 2024
- ...iculum Exchange, previously a separate digital resource service, is now an integral part of the Learning Place and provides, through the Curriculum Exchange re5 KB (683 words) - 07:21, 6 December 2011
- [[Trades Union]] banners are an integral part of the social history of [[British]] workers. Banners have been made s4 KB (742 words) - 08:44, 9 October 2009
- The integral <math>\int_1^3 PdV</math> is the work done by the surroundings on the cylin ...decreases to the temperature ''T''<sub>c</sub> of the cold reservoir. The integral <math>\int_3^1 PdV</math> is the work done by the cylinder. In the ''P-V''21 KB (3,684 words) - 10:27, 8 July 2019
- '''''Refrigeration''''': The condensation process is also an important integral part of almost all residential, commercial and industrial [[refrigeration]]5 KB (768 words) - 16:11, 3 May 2010
- ...and yellow - would produce "the definitive race, the synthetic race or the integral race, made up of the genius and the blood of all peoples and, for that reas5 KB (751 words) - 11:40, 14 October 2008
- ...te workshops, stores, shops and other profit-oriented firms that were also integral parts of the international Arts and Crafts movement. Although the effort he5 KB (707 words) - 13:43, 18 February 2010
- ...]] of the problem). As a consequence of the [[Arzelà–Ascoli theorem]] this integral operator is compact and existence of a sequence of eigenvalues α<sub>15 KB (2,332 words) - 04:52, 18 October 2009
- ...vy vehicles built on [[tank (military)|tank chassis]]. Tank-based CEVs are integral parts of tank-centric units, but they are too heavy for quick deployment. F5 KB (693 words) - 15:37, 8 April 2024
- Fisher made statistics an integral part of the [[Scientific method]]<ref>[http://www-groups.dcs.st-and.ac.uk/~5 KB (874 words) - 18:22, 1 July 2009
- ...sly functions on the interval, to replace the differential equation by the integral equation6 KB (996 words) - 06:49, 16 January 2012
- ...estic product|GDP]] and 17th by [[Human Development Index]] in the world), integral part of the European Union (having hosted the signing of the [[Treaty of Ro5 KB (719 words) - 09:16, 2 March 2024
- ...the longitudinal (azimuthal) angle φ. The numbers ''ℓ'' and ''m'' are integral numbers and ''ℓ'' is positive or zero. ...ver θ it suffices to consider the case ''m'' = ''m'''. The necessary integral is given [[Associated legendre function#Orthogonality relations|here]]. The34 KB (5,282 words) - 14:21, 1 January 2011
- ...[Discrete Cosine transform]]); it is one of many discrete analogies of the integral operator [[CosFourier]] <math>\displaystyle8 KB (1,204 words) - 18:09, 8 September 2020
- ...field goes through ν full cycles in a second, where ν is a positive integral number, the field has a frequency of ν Hz ([[hertz (unit)|hertz]]). The Often ''I'' is time-averaged over a complete cycle. Since the integral of cos<sup>2</sup> and sin<sup>2</sup> over a cycle is 1/2, we get for the25 KB (3,994 words) - 17:54, 17 April 2010
- ...o a [[voice]] or other [[instrument (music)|instrument]], or is used as an integral part of an [[ensemble]]. However, [[solo (music)|solo]] parts for the guita6 KB (1,033 words) - 04:04, 16 December 2013
- ...n invaluable to our senior leaders, and your untiring efforts have been an integral factor in the remarkable security, and political and diplomatic gains achie5 KB (818 words) - 10:41, 2 March 2024
- ...according to the number and the suitability of the molecules of which the integral parts are composed] Annales de chimie, vol. '''90''' pp. 43-86 (1814). </re ..., an incomplete version of one of [[Maxwell's laws]]—that relates an integral over a closed path in a magnetic field to the electric current through the10 KB (1,656 words) - 01:58, 6 February 2010
- ...the [[weight]] ([[measure (mathematics)|measure]]) in multi-dimensional [[integral]]s over [[generalized coordinates]], i.e, over non-[[Cartesian coordinates]8 KB (1,229 words) - 08:32, 14 January 2009
- ...sic versions of the theorems. For more mathematical details see [[Cauchy's integral formula]] and [[residue theorem]]. The first pivotal theorem proved by Cauchy, now known as ''[[Cauchy's integral theorem]]'', was the following:20 KB (3,286 words) - 12:52, 24 August 2013
- ...sic versions of the theorems. For more mathematical details see [[Cauchy's integral formula]] and [[residue theorem]]. The first pivotal theorem proved by Cauchy, now known as ''[[Cauchy's integral theorem]]'', was the following:20 KB (3,295 words) - 12:51, 24 August 2013
- ...inite at the branch point <math>x = -1/e</math>. The [[integral|indefinite integral]] is given by14 KB (2,354 words) - 21:43, 25 September 2011
- ...;, can be synthesized as a sum of harmonic functions whose wavelengths are integral sub-multiples of λ (''i.e.'' λ, λ/2, λ/3, ''etc7 KB (1,088 words) - 10:11, 11 June 2012
- ...typically extends over an index set of algebraic objects considered to be "integral" in some context, and the term corresponding to each object is a quotient w7 KB (1,113 words) - 10:50, 4 October 2013
- ...he flow. But <math>L \approx R</math>, and <math>V \approx U</math>. The integral of the equation for centripetal acceleration, which will over a distance <m7 KB (1,247 words) - 05:26, 22 November 2013