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  • ''This page is about infinitesmal calculus. For other uses of the word in mathematics and other fields, [[Calculus_(di ...tudies the properties and applications of functions in multiple variables. Calculus belongs to the more general field of '''[[analysis]]''', which is concerned
    5 KB (912 words) - 09:26, 29 May 2009
  • #REDIRECT [[Lambda calculus]]
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  • 126 bytes (15 words) - 20:19, 16 March 2010
  • #REDIRECT [[Lambda calculus]]
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  • #REDIRECT [[Lambda calculus]]
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  • ...p]] was created in large part from the λ-calculus. In mathematics, the λ-calculus was central to some of the first theorems of '''computability''' - theorems ...pes of avoiding set-theoretic obstacles like [[Russell's paradox]]). The λ-calculus was ultimately unable to avoid these pitfalls, but emerged as a powerful an
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  • '''Calculus''' may refer to ...culation, but usually refers to [[Isaac Newton|Newtonian]] [[Infinitesimal calculus]]:
    478 bytes (48 words) - 09:33, 31 December 2008
  • #REDIRECT [[Lambda calculus]]
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  • 12 bytes (1 word) - 11:26, 13 February 2009
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:41, 20 February 2008
  • #REDIRECT [[Calculus]]
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  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:42, 20 February 2008
  • 100 bytes (12 words) - 14:37, 15 June 2008
  • 12 bytes (1 word) - 10:52, 20 February 2008
  • In [[medicine]], '''calculus''' is a stone formed in the body, for example [[gallstone]] or [[kidney sto
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  • Auto-populated based on [[Special:WhatLinksHere/Calculus]]. Needs checking by a human.
    1 KB (136 words) - 11:36, 11 January 2010
  • 91 bytes (11 words) - 13:19, 1 February 2009

Page text matches

  • '''Calculus''' may refer to ...culation, but usually refers to [[Isaac Newton|Newtonian]] [[Infinitesimal calculus]]:
    478 bytes (48 words) - 09:33, 31 December 2008
  • #REDIRECT [[Calculus]]
    22 bytes (2 words) - 13:21, 26 May 2009
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:41, 20 February 2008
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:41, 20 February 2008
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:42, 20 February 2008
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:42, 20 February 2008
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:43, 20 February 2008
  • #REDIRECT [[Lambda calculus]]
    29 bytes (3 words) - 11:44, 20 February 2008
  • {{r|Multivariate calculus}} {{r|Fundamental theorem of calculus}}
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  • {{r|Flow (calculus)|In calculus}}
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  • ...sh mathematician who published the first systematic exposition of Newton's calculus.
    140 bytes (14 words) - 15:44, 6 July 2008
  • Process which extends the methods of calculus to stochastic processes such as Brownian motion (Wiener process).
    148 bytes (19 words) - 09:05, 4 September 2009
  • A central concept in calculus that generalizes the idea of a sum to cover quantities which may be continu
    155 bytes (23 words) - 18:12, 19 June 2008
  • ...p]] was created in large part from the λ-calculus. In mathematics, the λ-calculus was central to some of the first theorems of '''computability''' - theorems ...pes of avoiding set-theoretic obstacles like [[Russell's paradox]]). The λ-calculus was ultimately unable to avoid these pitfalls, but emerged as a powerful an
    3 KB (449 words) - 15:23, 12 August 2008
  • In [[medicine]], '''calculus''' is a stone formed in the body, for example [[gallstone]] or [[kidney sto
    145 bytes (19 words) - 11:25, 13 February 2009
  • Technique to approximate the roots of an equation by the methods of the calculus.
    118 bytes (17 words) - 10:11, 4 September 2009
  • A rule in calculus for differentiating a function of a function.
    100 bytes (14 words) - 15:46, 5 December 2008
  • ...elucidation of the universal theory of gravitation and his development of calculus.
    189 bytes (23 words) - 09:07, 14 October 2008
  • A form of logical calculus with two binary operations ''AND'' (multiplication, •) and ''OR'' (additi
    238 bytes (31 words) - 12:17, 14 July 2011
  • Notation which simplify formulae used in multivariable calculus, partial differential equations and the theory of distributions, by general
    237 bytes (32 words) - 10:04, 4 September 2009
  • ''This page is about infinitesmal calculus. For other uses of the word in mathematics and other fields, [[Calculus_(di ...tudies the properties and applications of functions in multiple variables. Calculus belongs to the more general field of '''[[analysis]]''', which is concerned
    5 KB (912 words) - 09:26, 29 May 2009
  • ...6), one of the leading rationalists, with Newton one of the discoverers of calculus, but best known among philosophers for his view that the universe is ultima
    289 bytes (40 words) - 07:12, 2 July 2008
  • {{rpl|Lambda calculus}}
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  • * K. Parthasarathy, ''An Introduction to Quantum Stochastic Calculus'', ser. Monographs in Mathematics, Basel, Boston, Berlin: Birkhauser Verlag
    294 bytes (32 words) - 18:53, 12 July 2008
  • In [[calculus]], the '''chain rule''' describes the [[derivative]] of a "function of a fu ==Multivariable calculus==
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  • ...RO, Paola. Doctoral dissertation. ''The Origins of Mathematical Economics: Calculus and Price Theory''. <small>Joint Doctoral Program, Université Paris X –
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  • *[[Calculus]]
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  • {{r|infinitesimal calculus}}
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  • ...groundwork for [[Gottfried Leibniz]]'s formulation of the [[infinitesimal calculus]].<ref>Ari Pattanayak, [http://www.math.rutgers.edu/courses/436/Honors02/le
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  • {{r|Lambda calculus}}
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  • ...owers, had a famous and unpleasant priority dispute about the discovery of calculus.<ref name=bardi2006/> Leibniz is also well known for his view, expressed f Bardi JS. (2006) ''The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time''. N
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  • {{r|Calculus}}
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  • {{r|Umbral calculus}}
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  • ...stones''', is a form of [[urolithiasis]] in which there is "formation of [[Calculus (medicine)|stones]] in the [[kidney]]."<ref>{{MeSH}}</ref>
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  • {{r|Calculus}}
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  • {{r|Calculus}}
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  • {{r|Calculus}}
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  • {{r|Calculus}}
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  • {{r|Lambda calculus}}
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  • The '''derivative at a point''' is a fundamental mathematical notion of calculus and analysis. ==Multivariable calculus==
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  • {{r|Lambda calculus}}
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  • Auto-populated based on [[Special:WhatLinksHere/Calculus]]. Needs checking by a human.
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  • ...ded. These can be found for any polynomial equation using techniques from calculus. ...es the simplest approach is to find approximate solutions using ideas from calculus, such as [[Newton's method]].
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  • {{r|Calculus}}
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  • ...designed to more faithfully implement [[Alonzo Church|Church's]] [[lambda calculus]] than did comparable languages at the time. ...uilt-in functions such as addition (delta rules are not part of the lambda calculus)
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  • ...numerative combinatorics include [[generating function]]s and the [[umbral calculus]]. Combinatorics also studies [[code]]s, [[design]]s, [[finite geometry|fin
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  • ...Partial derivatives are widely used in [[differential geometry]], [[vector calculus]], and [[physics]].
    1 KB (175 words) - 02:51, 10 July 2008
  • ...played an important role in the development of [[stochastic calculus]], a calculus that finds important applications in fields as diverse as physics, engineer
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  • {{r|Calculus}}
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  • The [[chain rule]] in [[calculus]] describes the [[derivative]] of the composite of differentiable functions
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  • Generally, identities arising in calculus and involving [[trigonometric function]]s are true only when the variables
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  • ...iable and has [[non-singular map|non-singular]] [[Derivative#Multivariable calculus|derivative]] [[non-singular map|non-singular]] in ''D''. Then ''f'' is an
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  • ...o so? We recall the definition of one of the two fundamental operations of calculus, differentiation. Given a function <math>y = f(x)</math>, we say ''f'' is d ...h integrals and integrals over regions are defined just as they are in the calculus of functions of two real variables. What is different is that the Cauchy-Ri
    6 KB (1,077 words) - 19:25, 29 September 2020
  • {{r|Calculus}}
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  • Evaluation of this [[integral]] requires only routine first-year calculus techniques, see [[Pi_(mathematical_constant)/Proofs/Student_level_proof_tha
    2 KB (219 words) - 15:08, 8 December 2009
  • ...proofs were found that require no prerequisite knowledge beyond [[integral calculus]]. One of those is due to [[Ivan Niven]], another to [[Mary Cartwright]] (
    2 KB (325 words) - 06:31, 15 September 2009
  • In [[medicine]], '''urolithiasis''' if the "formation of [[Calculus (medicine)|stones]] in any part of the [[urinary tract]], usually in the [[
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  • {{r|Calculus (disambiguation)}}
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  • | title = On a theorem of the probability calculus and its application to the theory of radiation
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  • *Calculus: a 2-D region
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  • ...ysics, and astronomy. He laid the foundations of differential and integral calculus and [[classical mechanics]] &mdash; often referred to as Newtonian mechanic ===Calculus===
    17 KB (2,625 words) - 19:47, 19 March 2023
  • ...uld have an ''elementary'' solution that does not require any knowledge of calculus or any knowledge of higher mathematics. However, students are allowed to us
    7 KB (1,063 words) - 10:07, 28 February 2024
  • ...ield'' carries other meanings in other areas of mathematics, notably in [[calculus]] and [[mathematical physics]]. This article deals exclusively with fields
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  • ...th>\delta-\epsilon</math> formalism which are usually taught in first year calculus courses to general topological spaces.
    3 KB (614 words) - 14:20, 13 November 2008
  • ==Development of calculus== Calculations of &pi; from 500 AD to 1900, and the parallel development of calculus.
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  • ...ath> exists. This procedure is very common in mathematics, especially in [[calculus]].
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  • ..., Argyllshire. He published the first systematic exposition of Newton's [[calculus]], written as a reply to Berkeley's attack on its lack of rigorous foundati ...y]] in 1734. MacLaurin's intent was to found the doctrine of fluxions (the calculus) on geometry, thereby answering all objections to it as being “founded on
    7 KB (1,121 words) - 07:27, 10 July 2008
  • For example see {{cite book |title=Vector calculus |chapter=§1.3 Cross product |author=Paul Charles Matthews |url=http://book
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  • ..., and an integral can take this complication into account. Finally, within calculus ''integration'' (the process of calculating integrals) can be seen as an in This formula is the main result of the [[fundamental theorem of calculus]]. The fundamental theorem says that integration and differentation (the ca
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  • ...for any period of time, its velocity and momentum change over that time. [[Calculus]] is required to model the functional relations between these physical quan
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  • *[http://math.berkeley.edu/~harrison/research/publications/ Fractal calculus]
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  • ...rst successful theory, which also revolutioned the whole field of integral calculus, was developed based on this approach by the French mathematician [[Henri L
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  • ==Calculus== It is possible to do [[calculus]] with the Lambert ''W'' function much like with other [[elementary functio
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  • ...oof that &pi; is irrational]] that requires no knowledge beyond [[integral calculus]] was discovered.
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  • ...quantity of happiness could be worked out by what he termed the [[felicity calculus]].
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  • ...implementation of that formalism. Features in the spirit of the [[lambda calculus]] are probably easiest to see in [[Scheme]].
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  • ...epassingen in de natuurwetenschap'' [Texbook of differential- and integral-calculus and first principles of analytic geometry with special attention to the app
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  • *Clarke B. L., 1981, A calculus of individuals based on ‘connection’, Notre Dame J. Formal Logic 22 204
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  • #K. Parthasarathy, ''An Introduction to Quantum Stochastic Calculus'', ser. Monographs in Mathematics, Basel, Boston, Berlin: Birkhauser Verlag
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  • ...proof presented above assumes only that the reader is familiar with basic calculus and it is therefore accessible to the widest possible audience. However, as ...demonstrate their orthogonality using principles associated with operator calculus. Let us write
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  • ...irst-order logic is undecidable; Church's thesis; creation of the [[lambda calculus]]
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  • ...nd are therefore widely used in [[Financial Mathematics]] and [[Stochastic Calculus]].
    5 KB (858 words) - 12:47, 29 December 2008
  • ...ttle interest, but the really bad news is that virtually all concepts of [[calculus]] are of this sort. For example: * [[Stochastic calculus]]
    12 KB (1,781 words) - 14:50, 7 December 2008
  • A '''Boolean algebra''' is a form of logical calculus with two binary operations ''AND'' {{nowrap|(multiplication, •)}} and ''O Boolean algebra has strong connections to the ''propositional calculus'', which relates the truth value of a conclusion to the truth value of the
    13 KB (1,959 words) - 19:49, 1 September 2020
  • ...d then at [[Edinburgh University]]; he is credited with the discovery of [[calculus]], and was a contemporary of Sir [[Isaac Newton]]. The brother of James Gre
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  • ...ch larger class of (not necessarily continuous) functions. Many classical calculus tools, such as [[convolution (mathematics)|convolution]] or [[Fourier trans
    5 KB (786 words) - 21:28, 19 February 2010
  • ====Calculus==== One of Newton's inventions, [[calculus]], which was simultaneously and independently invented by [[Gottfried Wilhe
    27 KB (4,192 words) - 17:33, 19 August 2020
  • ...tegral [[calculus]] methods, but before the invention of the infinitesimal calculus, they had to be tackled individually. This work made him the leading figure ...De Ratiociniis in Ludo Aleae'' ('The Reckoning in Games of Chance), on the calculus of probabilities, the first printed work on the subject.
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  • The classical example (in calculus or real analysis) is <math> \mathbb R^d </math>, the ''d''-dimensional [[Eu
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  • The classical example (in calculus or real analysis) is <math> \mathbb R^d </math>, the ''d''-dimensional [[Eu
    7 KB (1,205 words) - 09:52, 8 September 2013
  • Most of conventional calculus is based on the operations summation, multiplication, exponentiation and th
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  • ...[series (mathematics)|series]] can be found in any present-day textbook on calculus. Probably Cauchy is most famous for his single-handed development of [[comp ...infinitésimal'' [On a new type of calculus analogous to the infinitesimal calculus], Exercises de Mathématique, vol. '''1''', p. 11 (1826)</ref> Cauchy gave
    20 KB (3,286 words) - 12:52, 24 August 2013
  • ...[series (mathematics)|series]] can be found in any present-day textbook on calculus. Probably Cauchy is most famous for his single-handed development of [[comp ...infinitésimal'' [On a new type of calculus analogous to the infinitesimal calculus], Exercices de Mathématique, vol. '''1''', p. 11 (1826)</ref> Cauchy gave
    20 KB (3,295 words) - 12:51, 24 August 2013
  • ...ons''' are the most basic [[function|functions]] arising in the study of [[calculus]]. They include the [[polynomial|polynomials]], which are the object of stu
    8 KB (1,289 words) - 13:46, 26 May 2009
  • ...Mathematical Clash of All Time.'' (2006). 277 pp. [http://www.amazon.com/Calculus-Wars-Leibniz-Greatest-Mathematical/dp/1560259922/ref=sr_1_4?ie=UTF8&s=books
    8 KB (1,049 words) - 11:57, 31 January 2008
  • ...d in mathematics. So, he read [[d'Alembert]]'s article on the differential calculus in the [[Encyclopédie]] and undertook a study of works by [[Leonhard Euler ...s productive in mathematics. Among other things he wrote about variational calculus and about the rest term of the [[Taylor series]] (1806).
    10 KB (1,656 words) - 01:58, 6 February 2010
  • ...ted mathematical objects with polynomials is an important application of [[calculus]], and is an essential tool in [[numerical analysis]].
    8 KB (1,242 words) - 02:01, 10 November 2009
  • ...functional language is one that is based on [[Lambda_calculus]]. In lambda calculus variables have single assignment and behave like mathematical functions and
    6 KB (903 words) - 15:28, 24 August 2009
  • ...that bridge between algebra and geometry crucial to the invention of the [[calculus]] and [[Mathematical analysis|analysis]]. ...on|Newton]] and [[Gottfried Leibniz|Leibniz]], by applying [[infinitesimal calculus]] to the [[tangent problem]], thus permitting the evolution of that branch
    17 KB (2,634 words) - 18:36, 19 March 2010
  • ..., which is more advanced in that it needs some knowledge of differential calculus, will be given in the next section. ...sine and cosine for a few specific angles. The application of differential calculus (see later in this article) allows the computation of the function values f
    19 KB (3,106 words) - 09:53, 10 October 2013
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