• the mathematical literature for sets that have upper (respectively lower) bounds. For example, 5 is a lower bound for the set S = {5, 8, 42, 34, 13934} (as...
    6 KB (666 words) - 17:41, 9 March 2024
  • greatest-lower-bound property if and only if it also possesses the least-upper-bound property; the least-upper-bound of the set of lower bounds of a set...
    24 KB (4,346 words) - 03:49, 4 August 2024
  • Analysis: Techniques for Censored and Truncated Data. New York: Springer. p. 27. ISBN 0-387-95399-X. "Upper & lower bounds for the normal distribution function"...
    7 KB (890 words) - 04:48, 22 January 2024
  • Thumbnail for Levenshtein distance
    "uninformed" and "uniformed" which have a distance of 1: uninformed → uniformed (deletion of "n"). The Levenshtein distance has several simple upper and lower bounds...
    21 KB (2,435 words) - 15:04, 28 August 2024
  • Thumbnail for Proof that 22/7 exceeds π
    the denominator, one gets a lower bound on the integral, and if 0 is substituted for x in the denominator, one gets an upper bound: 1 1260 = ∫ 0 1 x 4 (...
    13 KB (2,784 words) - 13:00, 26 July 2024
  • Thumbnail for Diophantine approximation
    to find sharp upper and lower bounds of the above difference, expressed as a function of the denominator. It appears that these bounds depend on the nature...
    30 KB (4,055 words) - 20:53, 8 September 2024
  • Thumbnail for Semi-continuity
    theorem – On existence of a continuous function between semicontinuous upper and lower bounds Hemicontinuity – Semicontinuity for set-valued functions The result...
    24 KB (3,973 words) - 09:19, 4 September 2024
  • Thumbnail for No-three-in-line problem
    function of n {\displaystyle n} , is not known. However, both proven and conjectured bounds limit this number to within a range proportional to n {\displaystyle...
    30 KB (3,805 words) - 03:14, 9 September 2024
  • more challenging, and only a handful of cases have been solved exactly. For others, investigations have determined upper and lower bounds, but not exact...
    17 KB (2,135 words) - 10:26, 2 September 2024
  • Thumbnail for Orchard-planting problem
    =\left\lfloor {\frac {n^{2}}{6}}-{\frac {25n}{78}}\right\rfloor .} Lower bounds for ⁠ t 3 orchard ( n ) {\displaystyle t_{3}^{\text{orchard}}(n)} ⁠ are...
    6 KB (814 words) - 02:54, 8 September 2024