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...

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...

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"...

"uninformed" and "uniformed" which have a distance of 1: uninformed → uniformed (deletion of "n"). The Levenshtein distance has several simple upper and lower bounds...

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 (...

show a lower bound of T(n) for a problem requires showing that no algorithm can have time complexity lower than T(n). Upper and lower bounds are usually...

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...

=\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 given...

more challenging, and only a handful of cases have been solved exactly. For others, investigations have determined upper and lower bounds, but not exact...

theorem – On existence of a continuous function between semicontinuous upper and lower bounds Semicontinuous set-valued function In the context of convex analysis...

technology, among other uses. Different sources specify different upper and lower bounds for the frequency range. Electric currents that oscillate at radio...

minimal elements Limit superior and limit inferior (infimum limit) Upper and lower bounds Of course, in this particular example, there exists only one element...

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...

axiality at least 2/3. This result improved a previous lower bound of 5/8 by Krakowski (1963). The best upper bound known is given by a particular convex quadrilateral...

zero and the remaining polynomial is det(I + sA). For a positive definite matrix A, the trace operator gives the following tight lower and upper bounds on...

an upper bound of S. The terms bounded from below and lower bound are similarly defined. A set S is bounded if it has both upper and lower bounds. Therefore...

OCLC 755538109. Talagrand, Michel (2014). Upper and lower bounds for stochastic processes : modern methods and classical problems. Heidelberg: Springer...

establishing upper and lower bounds in various classes of shapes. By considering only families consisting of sets that are parallel and congruent to X...

ones that can be used to represent it using ones and any number of additions, multiplications, and parentheses. It is always within a constant factor...

{4}{3}}} The lower limit was obtained by Robert Price (OEIS sequence A261313 ) and took several weeks to compute and is believed to be twice the lower limit...

spaced between well-defined upper and lower bounds. When written quickly with a pen, these tended to turn into rounder and much simpler forms. It is from...

Sphere and Cylinder, he gives upper and lower bounds for the surface area of a sphere by cutting the sphere into sections of equal width. He then bounds the...

an upper bound, asymptotically tight as k → 0 {\displaystyle k\to 0} Lyon also showed (informally in 2021, rigorously in 2023) two other lower bounds that...

It can be shown that the Paasche is a lower bound for true cost of living index. Since upper and lower bounds of the true cost of living index can be...

733412}} . Closing the gap between these upper and lower bounds remains an open problem. The sublinear size bounds on square-difference-free sets can be...

things: The possible values that may be stored in a variable. The upper and lower bounds of an array. An alternative to iterator. The range of a variable...

observer Kalman filter Intuition Mark and recapture Moving horizon estimation Sales quote Upper and lower bounds C. Lon Enloe, Elizabeth Garnett, Jonathan...

Tiberiu Popoviciu, is an upper bound on the variance σ2 of any bounded probability distribution. Let M and m be upper and lower bounds on the values of any...

Rohnert, Hans; Tarjan, Robert E. (1994), "Dynamic perfect hashing: upper and lower bounds", SIAM Journal on Computing, 23 (4): 738–761, doi:10.1137/S0097539791194094...

Berthet, Quentin; Rigollet, Philippe (2013), "Complexity theoretic lower bounds for sparse principal component detection", Conference on Learning Theory...