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...
42 KB (5,473 words) - 14:34, 16 December 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 (1,188 words) - 16:50, 27 September 2024
}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 (3,145 words) - 11:24, 9 October 2024
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) - 02:25, 17 September 2024
. {\displaystyle x\in A_{n_{1}}\cap A_{n_{2}}\cap \cdots .} The limit infimum or inner limit of a sequence A 1 , A 2 , A 3 , … {\displaystyle A_{1},A_{2}...
31 KB (5,373 words) - 13:46, 8 October 2024
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
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...
36 KB (7,128 words) - 22:17, 29 December 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 (23,254 words) - 19:20, 27 November 2024
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...
92 KB (8,806 words) - 07:25, 15 September 2024
{\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...
192 KB (30,861 words) - 18:47, 6 November 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
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 (9,391 words) - 18:31, 29 December 2024