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arithmetical variable

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  • Arithmetical hierarchy — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… …   Wikipedia

  • Roue à nombre variable de dents — Les dents sont poussées en dessous par une seconde roue interne et mobile qui est attachée à une manette latérale. On peut voir trois dents de sortie sur cette illustration. Une roue à nombre variable de dents est une roue dont le nombre de dents …   Wikipédia en Français

  • Second-order arithmetic — In mathematical logic, second order arithmetic is a collection of axiomatic systems that formalize the natural numbers and sets thereof. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics. The… …   Wikipedia

  • Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… …   Wikipedia

  • PICAXE — is the name of a UK sourced microcontroller system based on a range of Microchip PICs. There are 13 PICAXE variants of differing pin counts from 8 to 40 pins. Initially marketed for use in education and by electronics hobbyists, they are also… …   Wikipedia

  • Swami Bharati Krishna Tirtha's Vedic mathematics — For the actual mathematics of the Vedic period, see the articles on Sulba Sūtras and Indian mathematics.Swami Bharati Krishna Tirtha s Vedic mathematics is a system of mathematics consisting of a list of 16 basic sūtras, or aphorisms. They were… …   Wikipedia

  • Elementary algebra — is a fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic. It is typically taught in secondary school under the term algebra. The major… …   Wikipedia

  • Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …   Wikipedia

  • Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… …   Wikipedia

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • ω-consistent theory — In mathematical logic, an ω consistent (or omega consistent, also called numerically segregative[1]) theory is a theory (collection of sentences) that is not only (syntactically) consistent (that is, does not prove a contradiction), but also… …   Wikipedia

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