• In number theory, Meyer's theorem on quadratic forms states that an indefinite quadratic form Q in five or more variables over the field of rational numbers...
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  • Cheeger and Detlef Gromoll proved the theorem in 1972 by generalizing a 1969 result of Gromoll and Wolfgang Meyer. The related soul conjecture, formulated...
    8 KB (943 words) - 17:59, 19 September 2024
  • The Doob–Meyer decomposition theorem is a theorem in stochastic calculus stating the conditions under which a submartingale may be decomposed in a unique...
    3 KB (298 words) - 06:33, 14 April 2025
  • In functional analysis the Meyers–Serrin theorem, named after James Serrin and Norman George Meyers, states that smooth functions are dense in the Sobolev...
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  • In matrix theory, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive...
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  • P/poly (redirect from Adleman Theorem)
    {EXPTIME}}=\Sigma _{2}^{\mathsf {P}}\cap \Pi _{2}^{\mathsf {P}}} (Meyer's theorem), even EXPTIME = MA. If NEXPTIME ⊆ P/poly then NEXPTIME = EXPTIME,...
    14 KB (1,867 words) - 10:14, 10 March 2025
  • Cornell University in 1947; his dissertation, A generalization of Meyer's theorem, was written under the supervision of Burton Wadsworth Jones. He met...
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  • multiplication theorem.[clarification needed] The next contributor of importance is Binet (1811, 1812), who formally stated the theorem relating to the...
    91 KB (14,395 words) - 21:11, 31 May 2025
  • Thumbnail for Girsanov theorem
    Girsanov's theorem or the Cameron-Martin-Girsanov theorem explains how stochastic processes change under changes in measure. The theorem is especially...
    8 KB (1,568 words) - 01:42, 16 January 2025
  • The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial...
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  • theory and the study of discrete subgroups of semisimple Lie groups. Meyer's theorem states that an indefinite integral quadratic form Q in n variables...
    6 KB (740 words) - 09:05, 21 November 2024
  • (1939). "A mean ergodic theorem". Duke Mathematical Journal. 5 (3): 635–646. doi:10.1215/S0012-7094-39-00552-1. ISSN 0012-7094. Meyer, P.A. (1966). Probability...
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  • Thumbnail for David Hilbert
    Hilbert–Burch theorem Hilbert's irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's...
    60 KB (7,099 words) - 20:55, 23 June 2025
  • Thumbnail for Terence Tao
    together they proved the Green–Tao theorem, which is well known among both amateur and professional mathematicians. This theorem states that there are arbitrarily...
    79 KB (6,678 words) - 09:50, 21 June 2025
  • The theorem was proved by and is named for Joseph L. Doob. The analogous theorem in the continuous-time case is the Doob–Meyer decomposition theorem. Let...
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  • Thumbnail for Rank–nullity theorem
    The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity...
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  • theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...
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  • Thumbnail for Helmut Hasse
    Hensel, writing a dissertation in 1921 containing the Hasse–Minkowski theorem, as it is now called, on quadratic forms over number fields. He then held...
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  • Thumbnail for Gottlob Frege
    principles are derived. On Hume's principle and Frege's theorem, see "Frege's Logic, Theorem, and Foundations for Arithmetic". Frege's logic, now known...
    49 KB (5,434 words) - 15:07, 24 June 2025
  • the time hierarchy theorems are important statements about time-bounded computation on Turing machines. Informally, these theorems say that given more...
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  • produce every theorem. The actual notion of computation was isolated soon after, starting with Gödel's incompleteness theorem. This theorem showed that...
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  • Thumbnail for Paul-André Meyer
    second book in a series of five written by Meyer and Dellacherie from 1975 to 1992 and elaborated from Meyer's pioneering book Probabilités et Potentiel...
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  • Thumbnail for Itô calculus
    generalized form of the Itô isometry can be used. First, the Doob–Meyer decomposition theorem is used to show that a decomposition M2 = N + ⟨M⟩ exists, where...
    31 KB (4,554 words) - 03:50, 6 May 2025
  • Thumbnail for Isaac Newton
    generalized the binomial theorem to any real number, introduced the Puiseux series, was the first to state Bézout's theorem, classified most of the cubic...
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  • of a subsemigroup of T is said to be a divisor of T. The Krohn–Rhodes theorem for finite semigroups states that every finite semigroup S is a divisor...
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  • Thumbnail for Richard Carrier
    Proving History: Bayes's Theorem and the Quest for the Historical Jesus (2012), Carrier describes the application of Bayes' theorem to historical inquiry...
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  • equivalence of regular expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene). In the Chomsky hierarchy...
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  • Copying quantum information is not possible due to the no-cloning theorem. This theorem seems to present an obstacle to formulating a theory of quantum...
    45 KB (6,099 words) - 21:07, 19 June 2025
  • inequality Gromoll–Meyer sphere Rational homotopy theory Splitting theorem Soul theorem Gromoll, Detlef; Klingenberg, Wilhelm; Meyer, Wolfgang (1968)....
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  • In mathematics, the disintegration theorem is a result in measure theory and probability theory. It rigorously defines the idea of a non-trivial "restriction"...
    8 KB (1,550 words) - 06:32, 14 April 2025