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...
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The Doob–Meyer decomposition theorem is a theorem in stochastic calculus stating the conditions under which a submartingale may be decomposed in a unique...
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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,...
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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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Determinant (redirect from Determinant theorem)
multiplication theorem.[clarification needed] The next contributor of importance is Binet (1811, 1812), who formally stated the theorem relating to the...
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Girsanov's theorem or the Cameron-Martin-Girsanov theorem explains how stochastic processes change under changes in measure. The theorem is especially...
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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...
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Uniform integrability (redirect from Dunford-Pettis theorem)
(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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David Hilbert (section Theorems)
Hilbert–Burch theorem Hilbert's irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's...
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together they proved the Green–Tao theorem, which is well known among both amateur and professional mathematicians. This theorem states that there are arbitrarily...
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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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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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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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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...
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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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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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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...
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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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Krohn–Rhodes theory (redirect from Krohn-Rhodes Theorem)
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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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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Regular language (redirect from Kleene's theorem)
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...
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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"...
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