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extended calculus

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  • Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

  • Calculus — This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia

  • Extended real number line — Positive infinity redirects here. For the band, see Positive Infinity. In mathematics, the affinely extended real number system is obtained from the real number system R by adding two elements: +∞ and −∞ (read as positive infinity and negative… …   Wikipedia

  • Calculus with polynomials — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • calculus of variations — the branch of mathematics that deals with the problem of finding a curve or surface that maximizes or minimizes a given expression, usually with several restrictions placed on the desired curve. [1830 40] * * * ▪ mathematics       branch of… …   Universalium

  • Calculus of inductive constructions — The calculus of inductive constructions is the underlying core language of the Coq Proof Assistant. It is based on the calculus of constructions extended by inductive definitions as they are known from intuitionistic type theory …   Wikipedia

  • Epsilon calculus — Hilbert s epsilon calculus is an extension of a formal language by the epsilon operator, where the epsilon operator substitutes for quantifiers in that language as a method leading to a proof of consistency for the extended formal language. The… …   Wikipedia

  • Lambda-mu calculus — In mathematical logic and computer science, the lambda mu calculus is an extension of the lambda calculus, and was introduced by M. Parigot in [lambda mu] calculus: an algorithmic interpretation of classical natural deduction , Springer LNAI no.… …   Wikipedia

  • Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …   Wikipedia

  • Itō calculus — Itō calculus, named after Kiyoshi Itō, extends the methods of calculus to stochastic processes such as Brownian motion (Wiener process). It has important applications in mathematical finance and stochastic differential equations.The central… …   Wikipedia

  • Pi-calculus — In theoretical computer science, the pi calculus is a process calculus originally developed by Robin Milner, Joachim Parrow and David Walker as a continuation of work on the process calculus CCS (Calculus of Communicating Systems). The aim of the …   Wikipedia

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