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model extension theorem

См. также в других словарях:

  • Extension (mathematics) — In mathematics, the word extension has many uses. See:Analysis* Carathéodory s extension theorem * Continuous linear extension * M. Riesz extension theorem * Krein extension theorem * Hahn Banach theoremAlgebra* Abelian extension * Algebraic… …   Wikipedia

  • Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …   Wikipedia

  • Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… …   Wikipedia

  • Conservative extension — In mathematical logic, a logical theory T2 is a (proof theoretic) conservative extension of a theory T1 if the language of T2 extends the language of T1; every theorem of T1 is a theorem of T2; and any theorem of T2 which is in the language of T1 …   Wikipedia

  • Löwenheim–Skolem theorem — In mathematical logic, the Löwenheim–Skolem theorem, named for Leopold Löwenheim and Thoralf Skolem, states that if a countable first order theory has an infinite model, then for every infinite cardinal number κ it has a model of size κ. The… …   Wikipedia

  • Type (model theory) — In model theory and related areas of mathematics, a type is a set of first order formulas in a language L with free variables x1, x2,…, xn which are true of a sequence of elements of an L structure . Loosely speaking, types describe possible… …   Wikipedia

  • Relational model — The relational model for database management is a database model based on first order predicate logic, first formulated and proposed in 1969 by Edgar Codd. [ Derivability, Redundancy, and Consistency of Relations Stored in Large Data Banks , E.F …   Wikipedia

  • Wold's theorem — This article is about the theorem as used in time series analysis. For an abstract mathematical statement, see Wold decomposition. In statistics, Wold s decomposition or the Wold representation theorem (not to be confused with the Wold theorem… …   Wikipedia

  • Newton's theorem of revolving orbits — Figure 1: An attractive force F(r) causes the blue planet to move on the cyan circle. The green planet moves three times faster and thus requires a stronger centripetal force, which is supplied by adding an attractive inverse cube force. The …   Wikipedia

  • Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… …   Wikipedia

  • Time hierarchy theorem — In computational complexity theory, the time hierarchy theorems are important statements about time bounded computation on Turing machines. Informally, these theorems say that given more time, a Turing machine can solve more problems. For example …   Wikipedia

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