• Thumbnail for Riemann integral
    These are similar to Riemann sums, but the tags are replaced by the infimum and supremum (respectively) of f on each sub-interval: L ( f , P ) = ∑ i = 0 n...
    41 KB (5,356 words) - 02:48, 5 May 2024
  • inequality states that the supremum of a positive solution in some connected open region is bounded by some constant times the infimum, possibly with an added...
    8 KB (1,190 words) - 22:51, 18 August 2023
  • Thumbnail for Hausdorff dimension
    }U_{i}\supseteq S,\operatorname {diam} U_{i}<\delta \right\},} where the infimum is taken over all countable covers U {\displaystyle U} of S {\displaystyle...
    24 KB (3,147 words) - 22:17, 26 April 2024
  • Thumbnail for Boolean algebra (structure)
    meet a ∧ b and the join a ∨ b of two elements coincide with their infimum and supremum, respectively, with respect to ≤. The first four pairs of axioms...
    49 KB (3,356 words) - 14:42, 23 February 2024
  • Thumbnail for L'Hôpital's rule
    all values between x and c. (The symbols inf and sup denote the infimum and supremum.) From the differentiability of f and g on I {\displaystyle {\mathcal...
    35 KB (6,973 words) - 15:19, 4 July 2024
  • Thumbnail for Oedogonium
    Oedogonium indicum Hirn, 1900 Oedogonium inerme Hirn, 1900 Oedogonium infimum Tiffany Oedogonium infirmum Tiffany, 1924 Oedogonium inflatum Hallas, 1905...
    64 KB (6,295 words) - 04:35, 3 March 2024
  • and the same is true of its supremum in Prefilters ⁡ ( X ) {\displaystyle \operatorname {Prefilters} (X)} but their supremum in the set of all dual ideals...
    138 KB (23,299 words) - 13:29, 8 June 2024
  • Thumbnail for Stanisław Moskal
    Kanadzie: 11. Retrieved 2019-09-01. A4karo (2015-09-04). "Suma iloczyn supremum infimum przedziału". matematyka.pl. Archived from the original on 2015-09-20...
    90 KB (8,588 words) - 15:48, 3 August 2024
  • bounded as a subset of the real numbers, because neither its infimum 0 nor its supremum 1 belong to the interval. The integers, rationals, and reals are...
    25 KB (3,028 words) - 20:53, 28 July 2024
  • Thumbnail for Filters in topology
    {\displaystyle B} is the infimum of the set of all cluster points of B . {\displaystyle B.} The limit superior of B {\displaystyle B} is the supremum of the set of...
    193 KB (30,936 words) - 07:26, 24 February 2024
  • invariant can be given a purely algebro-geometric definition in terms of an infimum of the log canonical threshold over all G {\displaystyle G} -invariant...
    64 KB (9,356 words) - 01:56, 6 January 2024