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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
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  • #REDIRECT [[Lambda calculus]]
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  • #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]]:
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  • #REDIRECT [[Lambda calculus]]
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  • #REDIRECT [[Lambda calculus]]
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  • #REDIRECT [[Calculus]]
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  • #REDIRECT [[Lambda calculus]]
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  • Auto-populated based on [[Special:WhatLinksHere/Calculus]]. Needs checking by a human.
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  • 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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  • 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]]
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  • {{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.
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  • 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
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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
    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.
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  • ...elucidation of the universal theory of gravitation and his development of calculus.
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  • 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
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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
  • ...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
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  • {{rpl|Lambda calculus}}
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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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  • 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]].
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  • ...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
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  • {{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
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  • ...proofs were found that require no prerequisite knowledge beyond [[integral calculus]]. One of those is due to [[Ivan Niven]], another to [[Mary Cartwright]] (
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  • 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
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  • ...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.
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  • ==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
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  • 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]]
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  • 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
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  • ====Calculus==== One of Newton's inventions, [[calculus]], which was simultaneously and independently invented by [[Gottfried Wilhe
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  • ...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
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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], 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
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  • ...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]].
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  • ...functional language is one that is based on [[Lambda_calculus]]. In lambda calculus variables have single assignment and behave like mathematical functions and
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  • ...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
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  • ..., 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
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  • ...ews the method as purely algebraic and fails to notice the connection with calculus. Isaac Newton probably derived his method from a similar but less precise m ...iterative methods for solving general nonlinear equations using fluxional calculus, essentially giving the description above. In the same publication, Simpson
    17 KB (2,889 words) - 12:40, 11 June 2009
  • ...mathematics itself. [[Isaac Newton|Newton]] was one of the [[infinitesimal calculus]] inventors, [[Feynman]] invented the [[Feynman path integral]] using a co ...fundamental areas of mathematics; quantity, structure, and space. [[Vector calculus]] expands the field into a fourth fundamental area, that of change.
    30 KB (4,289 words) - 16:03, 20 January 2023
  • ...shop Berkeley published a tract called ''The Analyst''. In this, the new [[calculus]] of [[Newton]] and [[Leibniz]] was attacked and especially the concept of
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  • The development of [[calculus]] in the 1700s used the entire set of real numbers without having defined t The existence of limits of Cauchy sequences is what makes [[calculus]] work and is of great practical use. The standard numerical test to determ
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  • ...vel and aimed at those intending research in [[number theory]]. He wrote [[calculus]] texts and also prepared a book on [[group cohomology]] for Bourbaki.
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  • ...ue of the "function" for any integer <math>n</math>. However, in numerical calculus, it is preferably to work with a function that returns number rather than a ...e needed one.<ref>{{cite book|author=R.A. Rosenbaun and G.P. Johnson|title=Calculus: Basic Concepts and Applications|edition=|publisher=Cambridge University Pr
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  • the invention of calculus 300 years ago. Newsweek has given similar
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  • See, for example, {{cite book |title=Principles of physics: a calculus-based text, Volume 1 |author=Raymond A. Serway, John W. Jewett |url=http://
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  • *A. Lichnerowicz, ''Elements of Tensor Calculus'', Translated from the French by J. W. Leech and D. J. Newman, Methuen (Lon
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  • ...enced [[Isaac Newton]] and [[Gottfried Leibniz]] in their development of [[calculus]].
    10 KB (1,742 words) - 09:15, 26 September 2007
  • ...]]. Quantity &nabla;<sup>2</sup> is the [[Laplacian]] operator of [[vector calculus]]. This equation is deceptively simple in appearance and, when material bo where &nabla; is the [[gradient]] operator of [[vector calculus]]. The field points in the direction of steepest descent from the potential
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  • ...um mechanics]], in which Reichenbach employed a three-valued propositional calculus. He contributed to ''Erkenntnis'', the journal of logical positivism, edite ...they can be accepted without reasonable doubt. Later he tried to develop a calculus of degree of confirmation.
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  • ...ict any non-trivial phenomenon: any result of any experiment, observation, calculus can be interpreted in favor of the concept.
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  • ...r substitutions into the integral and using the ordinary rules of integral calculus. The delta function as a Fourier transform of the unit function ''f''(''x''
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  • ...642-1727) Central figure of [[The Enlightenment]]. Founder of differential calculus and classical mechanics.
    12 KB (1,686 words) - 07:08, 26 March 2024
  • ...was neglected. This is the metaphysics by which integral and differential calculus become cosmology.
    11 KB (1,662 words) - 21:38, 20 March 2011
  • ...iladelphia (the closest the steamer could get him to Maryland) Gray taught calculus to the ship's captain, a Bulgarian named Frank Solis, in return for basic l
    11 KB (1,757 words) - 10:50, 11 March 2023
  • ...ity, which is equally expressed in the Gothic cathedral, the infinitesimal calculus, the music of Bach, worldwide imperialistic diplomacy, the radio, and moder
    11 KB (1,749 words) - 23:05, 26 April 2008
  • ...es infinitésimaux'' (Lie theory for differentiable groupoids. Differential calculus in the category of infinitesimal groupoids.), '''1967''', C. R. Acad. Sci.
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  • ...consumers and producers in equilibrium. Their tools were the differential calculus and Lagrangian multipliers. Using advanced mathematics, they constructed a ...ncy and social optima via classical programming techniques (differentiable calculus, Lagrangian multipliers, etc.).
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  • ...nside the hall mirrored not only public opinion at home, but the political calculus inside the heads of the delegates. They decided Dewey was a loser, and Wil
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  • ...strict law, of the simplest kind: [[direct proportion]]. It is proved in [[calculus]] that this law requires that the quantity is given by the [[exponential fu
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  • ...econd fundamental law of the mechanical theory of heat and the probability calculus with respect to the theorems of heat equilibrium] Wiener Berichte vol. ''' ...ifferential equation (E2) follows by some typical classical thermodynamics calculus.
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  • ...t allows to establish convergence of a given series using basic methods of calculus. Prominent examples include the ''Riemann series'', that is the series with
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  • ...as made obsolete by the advent of [[sentential logic]] and the [[predicate calculus]]. Others use Aristotle in [[argumentation theory]] to help develop and cr ...y can be exactly captured by a first-order logical theory; Frege's [[proof calculus]] is enough to ''describe'' the whole of mathematics, though not ''equivale
    32 KB (4,979 words) - 21:47, 12 November 2011
  • ...ath is not straight, it is possible to compute the work by [[infinitesimal calculus]]. One chooses ''N'' + 1 consecutive points on the path
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  • ...c]] could be implemented by neural systems: their classic paper "A Logical Calculus of Ideas Immanent in Nervous Activity" (1943) is important in this developm
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  • <s>[[Special:Allpages/List of calculus topics|List of calculus topics]] - [[Special:Allpages/List of historians by area of study|List of h
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  • ...[[Cartesian plane]] in wasan, which limited the understanding differential calculus for the Japanese.<ref name="morimoto132-133">Morimoto, 2009. pp.&nbsp;132-1
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  • ...ation structure is fixed, the semantics of the corresponding propositional calculus is defined in a truth-functional way as usual. In first order fuzzy logic t
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  • ...h &phi; and &theta; are interchanged, see e.g. Kay<ref>D. C. Kay, ''Tensor Calculus'', Schaum's outline series, McGraw-Hill, New York (1988)</ref> (p. 24) and
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  • A more elementary calculus δε-like equivalent definition would sound like this (UV play the role of
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  • ...try largely overlaps with [[molecular physics]], and involves the use of [[calculus]] and [[Mathematics]] in deriving equations. It is usually associated with
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  • ...ist and mathematician Antoine Augustin Cournot. Cournot used differential calculus to demonstrate the profit-maximising requirement of equality between margin ...RARY/Buchanan/buchCv3Contents.html James Buchanan and Gordon Tullock ''The Calculus of Consent'']</ref>. However, Buchanan and Tullock are best known for thei
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  • ...used in some more advanced levels as well. There are topics covered in a calculus class at one level, and then in more depth in an analysis class. ...to the structure of mathematics. To illustrate, differential and integral calculus are a primary focus in most first year university maths programs. Neverthe
    44 KB (7,312 words) - 03:09, 8 March 2024
  • ...st and mathematician Antoine Augustin Cournot. Cournot used differential calculus to demonstrate the profit-maximising requirement of equality between margin ...RARY/Buchanan/buchCv3Contents.html James Buchanan and Gordon Tullock ''The Calculus of Consent'']</ref>. However, Buchanan and Tullock are best known for thei
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  • ...e [[integration|integrate]] both sides of the previous equation<ref>From [[calculus]], we know that :
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  • ...try largely overlaps with [[molecular physics]], and involves the use of [[calculus]] and mathematics in deriving equations. It is usually associated with quan
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  • ...to aid [[navigation]], to aid [[city planning]]. The inventions of the [[calculus]] by [[Isaac Newton]] and [[Gottfried Leibniz]] in the later 17th century w ...modern science, technology, or economic theory. Those who understand the calculus, ordinary and partial differential equations, and probability theory have a
    46 KB (6,635 words) - 13:25, 14 April 2021
  • ...[[analytic geometry]] however, was a necessary precedent to [[differential calculus]] and instrumental in bringing mathematical analysis to bear on scientific
    22 KB (3,288 words) - 18:53, 9 July 2010
  • ...e derivative of cosine is the negative of sine. (Here, and generally in [[calculus]], all angles are measured in [[radian]]s; see also [[#The significance of
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  • [[calculus]]. Some would emphasize the use of [[complex analysis]]: the study of the [
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  • ...e text by Lamb: {{cite book |title = An Elementary Course of Infinitesimal Calculus
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  • * [[Lambda calculus]]
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  • ...ying tools such as [[integral]]s and [[limit (mathematics)|limit]]s from [[calculus]]. It is this non-elementary solution that is called the gamma function.
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  • ...lected all the generals, promoting or removing them according to a complex calculus of party politics, public opinion, and--most of all--victory on the battle
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  • ...lve the [[halting problem]], inventing the [[Turing Machine]] and [[lambda calculus]] respectively.
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  • ...of mathematics. Mathematical branches most often used in science include [[calculus]] and [[statistics]], although virtually every branch of mathematics has ap
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  • 124. McCulloch, W.S. & Pitts, W. 1943. A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophys
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  • ...mons: Simulating probability distributions with functions of propositional calculus]
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  • By the fundamental theorem of integral calculus, we have the important expression that relates force ''F''(''x'') and poten
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  • ...ry|theory of public choice]] <ref> James Buchanan and Gordon Tullock ''The Calculus of Consent''. University of Michigan Press 1962</ref>, which assumes that
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  • ...ing complexity. However, this does mean that some of us will have to learn calculus.</ref>
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  • ...f reasoning, from 2D spatial inferences<ref>Ragni M. (2003) An arrangement calculus, its complexity and algorithmic properties. ''Lect Notes Comput Sci'' 2821:
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  • A second frame for the Commission’s work involves the risk calculus associated with WMD. This is referred to this in a ''Foreign Affairs'' art
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  • ...etry|Euclidean plane geometry]] from a school booklet and began to study [[calculus]] soon afterwards.<ref> Talmey, M., ''The Relativity Theory Simplified and
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  • ...eve that high-speed computation is to biology and the social sciences what calculus was to physics. Computer science is the mathematically based or formal tool
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