• is a nonempty countable metric space with no isolated point, then each singleton {x}{\displaystyle \{x\}} in X{\displaystyle X} is nowhere dense, and X{\displaystyle...
    10 KB (1,442 words) - 04:35, 7 February 2024
  • Left-hand side = Right-hand side. For example, using x,y,z as variables, the singleton equation set { cons(x,cons(x,nil)) = cons(2,y) } is a syntactic first-order...
    70 KB (7,288 words) - 15:10, 18 March 2024
  • Thumbnail for Stochastic process
    Mathematics Japan Society for Industrial and Applied Mathematics Société de Mathématiques Appliquées et Industrielles International Council for Industrial and...
    162 KB (17,806 words) - 17:32, 8 January 2024
  • Thumbnail for Probability theory
    Mathematics Japan Society for Industrial and Applied Mathematics Société de Mathématiques Appliquées et Industrielles International Council for Industrial and...
    26 KB (3,560 words) - 14:58, 26 March 2024
  • set. Conversely, if X{\displaystyle X} is not discrete, then there is a singleton {x}{\displaystyle \{x\}} that is not open. Hence, every open neighbourhood...
    17 KB (2,870 words) - 00:32, 8 March 2024
  • Thumbnail for Expected value
    Erwartungswert, in Spanish for esperanza matemática, and in French for espérance mathématique. When "E" is used to denote "expected value", authors use a variety of...
    51 KB (7,421 words) - 11:10, 16 March 2024
  • G} — in other words, Vnc/G{\displaystyle V_{n}^{\mathbf {c} }/G} is a singleton (see also rigid group). The conjugacy classes c1,…,cn{\displaystyle c_{1}...
    18 KB (2,823 words) - 03:36, 18 November 2023
  • the colimit of the (constant sequence of the) endomorphism. Because the singleton ({*}, *) is the terminal object of Mag, and because Mag is algebraic,...
    16 KB (1,729 words) - 11:44, 12 February 2024
  • Thumbnail for Mathematical induction
    1007/BF00327237. MR 1554128. S2CID 119948133. Rashed, Roshdi (1972). "L'induction mathématique: al-Karajī, as-Samaw'al". Archive for History of Exact Sciences (in French)...
    47 KB (6,771 words) - 04:52, 23 March 2024
  • Thumbnail for Domain of a function
    p. 89 Bourbaki, Nicolas (1970). Théorie des ensembles. Éléments de mathématique. Springer. ISBN 9783540340348. Eccles, Peter J. (11 December 1997). An...
    8 KB (923 words) - 21:39, 5 November 2023