• Thumbnail for Émile Borel
    Félix Édouard Justin Émile Borel (French: [bɔʁɛl]; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he...
    13 KB (1,208 words) - 19:54, 30 December 2023
  • complement. Borel sets are named after Émile Borel. For a topological space X, the collection of all Borel sets on X forms a σ-algebra, known as the Borel algebra...
    12 KB (1,768 words) - 13:18, 18 January 2024
  • In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements...
    14 KB (2,041 words) - 21:20, 23 January 2024
  • theory, the Borel–Cantelli lemma is a theorem about sequences of events. In general, it is a result in measure theory. It is named after Émile Borel and Francesco...
    11 KB (1,815 words) - 02:05, 6 September 2023
  • event of probability zero (also known as a null set). It is named after Émile Borel and Andrey Kolmogorov. Suppose that a random variable has a uniform distribution...
    15 KB (2,512 words) - 09:21, 15 June 2023
  • Simon (1978, p. 38) In mathematics, Borel summation is a summation method for divergent series, introduced by Émile Borel (1899). It is particularly useful...
    22 KB (3,511 words) - 22:49, 18 March 2024
  • Pascal Borel (born 1978), German footballer Pierre Borel, 17th-century French chemist Borel (crater), a lunar crater, named after Émile Borel Borel algebra...
    1 KB (165 words) - 21:48, 4 December 2023
  • is an application of the maximum modulus principle. It is named for Émile Borel and Constantin Carathéodory. Let a function f {\displaystyle f} be analytic...
    9 KB (1,867 words) - 05:57, 5 April 2024
  • In mathematics, Borel's lemma, named after Émile Borel, is an important result used in the theory of asymptotic expansions and partial differential equations...
    3 KB (491 words) - 15:51, 7 August 2021
  • Thumbnail for Infinite monkey theorem
    of the use of the "monkey metaphor" is that of French mathematician Émile Borel in 1913, but the first instance may have been even earlier. Jorge Luis...
    50 KB (6,680 words) - 07:21, 31 March 2024