• In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H...
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  • The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded...
    16 KB (1,893 words) - 13:05, 10 March 2024
  • footballer Nicolaas Kuiper (1920–1994), Dutch mathematician, known for Kuiper's test, Kuiper's theorem, and the Eells–Kuiper manifold Peter Kuiper (1929–2007)...
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    Hendrik Kuiper (Dutch pronunciation: [ˈkœypər]; 28 June 1920 – 12 December 1994) was a Dutch mathematician, known for Kuiper's test and proving Kuiper's theorem...
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  • Thumbnail for Mikhael Gromov (mathematician)
    Eliashberg, including work building upon Nash and Kuiper's theorem and the Nash–Moser implicit function theorem. There are many applications of his results...
    48 KB (3,749 words) - 15:07, 24 June 2024
  • theory) Kruskal–Katona theorem (combinatorics) Krylov–Bogolyubov theorem (dynamical systems) Kuhn's theorem (game theory) Kuiper's theorem (operator theory...
    73 KB (6,015 words) - 12:17, 2 August 2024
  • Thumbnail for General linear group
    larger group, and topologically much simpler, namely contractible – see Kuiper's theorem. List of finite simple groups SL2(R) Representation theory of SL2(R)...
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  • Thumbnail for Adrien Douady
    mathematician and an economist. Beltrami equation Jessen's icosahedron Kuiper's theorem "Daniel Léon Jean Douady". geni_family_tree. 1904-09-26. Retrieved...
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  • this difference, Hilbert manifolds have several very nice properties. Kuiper's theorem: If X {\displaystyle X} is a compact topological space or has the homotopy...
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    that these may have simpler topological properties: see for example Kuiper's theorem. In M-theory, for example, a 10-dimensional SU(N) gauge theory becomes...
    64 KB (9,427 words) - 05:48, 28 May 2024
  • Thumbnail for Möbius strip
    which the Nash–Kuiper theorem allows arbitrarily flexible embeddings, see remarks by Bartels & Hornung (2015), p. 116, following Theorem 2.2. Möbius strips...
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  • Thumbnail for John Forbes Nash Jr.
    techniques, Nicolaas Kuiper soon found even smaller codimensions, with the improved result often known as the Nash–Kuiper theorem.) As such, Nash's embeddings...
    69 KB (7,380 words) - 14:18, 21 July 2024
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    Whitney–Graustein theorem. This was followed by the Nash–Kuiper isometric C1 embedding theorem and the Smale–Hirsch immersion theorem. Assume we want to...
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    which is a contradiction.) On the other hand, according to the Nash-Kuiper theorem, which was proven in the 1950s, an isometric C1 embedding exists. This...
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  • Equidistribution theorem Low-discrepancy sequence Erdős–Turán inequality Kuipers & Niederreiter (2006) pp. 2–3 http://math.uga.edu/~pete/udnotes.pdf, Theorem 8 Kuipers...
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  • invariant The Kervaire invariant. Koszul duality Koszul duality. Kuiper Kuiper's theorem says that the general linear group of an infinite-dimensional Hilbert...
    52 KB (7,629 words) - 12:07, 26 July 2024
  • Thumbnail for Kolmogorov–Smirnov test
    for Excel runs the test as KSCRIT and KSPROB. Lepage test Cucconi test Kuiper's test Shapiro–Wilk test Anderson–Darling test Cramér–von Mises test Wasserstein...
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  • the center have negative curvature. According to Kuiper's formulation of the Nash embedding theorem, there is a C 1 {\displaystyle C^{1}} embedding S...
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  • exactly three singular points. Then M {\displaystyle M} is a Eells–Kuiper manifold. Theorem: Let M n {\displaystyle M^{n}} be a compact connected manifold...
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  • paths). These techniques were used in Raoul Bott's proof of his periodicity theorem. The analogue of Morse theory for complex manifolds is Picard–Lefschetz...
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  • Thumbnail for Cumulative distribution function
    The closely related Kuiper's test is useful if the domain of the distribution is cyclic as in day of the week. For instance Kuiper's test might be used...
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  • that encodes the lengths and area. Reciprocally, according to the Nash-Kuiper theorem, any Riemannian surface with boundary can be embedded in Euclidean space...
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  • In mathematics, Reeb sphere theorem, named after Georges Reeb, states that A closed oriented connected manifold M n that admits a singular foliation having...
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  • Thumbnail for Benford's law
    Krieger proved what is now called the Krieger generator theorem. The Krieger generator theorem might be viewed as a justification for the assumption in...
    64 KB (7,272 words) - 00:31, 13 July 2024
  • test Chi-squared test Akaike information criterion Hosmer–Lemeshow test Kuiper's test Kernelized Stein discrepancy Zhang's ZK, ZC and ZA tests Moran test...
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  • In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational...
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  • Thumbnail for John Milnor
    named a Putnam Fellow in 1949 and 1950 and also proved the Fáry–Milnor theorem when he was only 19 years old. Milnor graduated with an A.B. in mathematics...
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  • History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the...
    441 KB (294 words) - 15:15, 14 July 2024
  • Thumbnail for Orientation (geometry)
    translates, and its position does not change when it rotates. Euler's rotation theorem shows that in three dimensions any orientation can be reached with a single...
    15 KB (1,728 words) - 03:25, 9 April 2024
  • Thumbnail for Friedrich Hirzebruch
    developments around the classical Riemann–Roch theorem; it was also a precursor of the Atiyah–Singer index theorem and Grothendieck's powerful generalisation...
    13 KB (1,139 words) - 05:16, 18 June 2024