• Thumbnail for Henri Lebesgue
    Henri Léon Lebesgue ForMemRS (French: [ɑ̃ʁi leɔ̃ ləbɛɡ]; June 28, 1875 – July 26, 1941) was a French mathematician known for his theory of integration...
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  • measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure...
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  • Thumbnail for Lebesgue integral
    graph of that function and the X axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, is one way to make this concept rigorous...
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  • limiting average taken around the point. The theorem is named for Henri Lebesgue. For a Lebesgue integrable real or complex-valued function f on Rn, the indefinite...
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  • In mathematics, the Riemann–Lebesgue lemma, named after Bernhard Riemann and Henri Lebesgue, states that the Fourier transform or Laplace transform of...
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  • In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension...
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  • Thumbnail for Integral
    the early 20th century, Henri Lebesgue generalized Riemann's formulation by introducing what is now referred to as the Lebesgue integral; it is more general...
    68 KB (9,235 words) - 12:25, 23 August 2024
  • institution and changed its name to ENS Rennes. Karine Beauchard The Annales Henri Lebesgue is a peer-reviewed open-access scientific journal covering mathematics...
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  • Thumbnail for Riemann integral
    by Giuseppe Vitali and by Henri Lebesgue in 1907, and uses the notion of measure zero, but makes use of neither Lebesgue's general measure or integral...
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  • who proved a slight generalization in 1906 of an earlier result by Henri Lebesgue. Let B R ¯ ≥ 0 {\displaystyle \operatorname {\mathcal {B}} _{{\bar {\mathbb...
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  • nodes T is generally denoted by Λn(T ). These constants are named after Henri Lebesgue. We fix the interpolation nodes x 0 , . . . , x n {\displaystyle x_{0}...
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  • Lebesgue–Stieltjes integrals, named for Henri Leon Lebesgue and Thomas Joannes Stieltjes, are also known as Lebesgue–Radon integrals or just Radon integrals...
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  • Thumbnail for Measure (mathematics)
    foundations of modern measure theory were laid in the works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Constantin Carathéodory, and Maurice Fréchet...
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  • Thumbnail for Surface area
    double integration. A general definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century. Their work...
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  • finite-dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according...
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  • French trade unionist Henri La Masne (1919–1954), Formerly missing person Henri Lansbury (born 1990), English footballer Henri Lebesgue (1875–1941), French...
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  • Thumbnail for Émile Borel
    Borel died in Paris on 3 February 1956. Along with René-Louis Baire and Henri Lebesgue, Émile Borel was among the pioneers of measure theory and its application...
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  • Thumbnail for Georges de Rham
    guided him in studying the works of Émile Borel, René-Louis Baire, Henri Lebesgue, and Joseph Serret. After graduating in 1925, de Rham remained at the...
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  • Thumbnail for Blaschke–Lebesgue theorem
    triangle, it is also known as the Blaschke–Lebesgue inequality. It is named after Wilhelm Blaschke and Henri Lebesgue, who published it separately in the early...
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  • of calculus. The reach of calculus has also been greatly extended. Henri Lebesgue invented measure theory, based on earlier developments by Émile Borel...
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  • after Henri Lebesgue: Blaschke–Lebesgue theorem Cantor–Lebesgue function Borel–Lebesgue theorem Fatou–Lebesgue theorem Lebesgue constant Lebesgue covering...
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  • Thumbnail for Z-order curve
    preserving locality of the data points. It is named in France after Henri Lebesgue, who studied it in 1904, and named in the United States after Guy Macdonald...
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  • generalization of the better-known dominated convergence theorem of Henri Lebesgue. It is a characterization of the convergence in Lp in terms of convergence...
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  • Thumbnail for Henri Béghin
    supérieure (1894-1897), where his contemporaries included Paul Montel, Henri Lebesgue, Paul Langevin, and Charles Péguy. He became a chair of applied mechanics...
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  • Thumbnail for Hilbert space
    development was the Lebesgue integral, an alternative to the Riemann integral introduced by Henri Lebesgue in 1904. The Lebesgue integral made it possible...
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  • Thumbnail for Lebesgue's universal covering problem
    one? (more unsolved problems in mathematics) The problem was posed by Henri Lebesgue in a letter to Gyula Pál in 1914. It was published in a paper by Pál...
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  • and related problems of potential theory. The Lebesgue spine was introduced in 1912 by Henri Lebesgue to demonstrate that the Dirichlet problem does...
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  • Herman Otto Hartley Wassily Hoeffding Edward Norton Lorenz Henri Poincaré Egon Pearson Henri Lebesgue John Venn David Blackwell Elizabeth Scott (mathematician)...
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  • Thumbnail for Lebesgue (crater)
    Lebesgue is a small lunar impact crater that is located near the eastern limb of the Moon. It lies in the southeastern part of the Mare Smythii, to the...
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  • vector spaces was known to Leonhard Euler in the 18th century. In 1904, Henri Lebesgue extended this result to bounded measurable functions on a product of...
    41 KB (7,845 words) - 06:53, 6 September 2024