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...

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

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"...

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 (...

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...

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...

=\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...

theorem – On existence of a continuous function between semicontinuous upper and lower bounds Hemicontinuity – Semicontinuity for set-valued functions In the...

minimal elements Limit superior and limit inferior (infimum limit) Upper and lower bounds Well-order — a non-strict order such that every non-empty set has...

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...

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

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

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...

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

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...

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...

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

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...

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...

{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...

values. For asymptotic lower bounds, see Evdokimov (1969), Wojciechowski (1989), and Abbot & Katchalski (1991). For upper bounds, see Douglas (1969), Deimer...

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...

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...

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...

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

in Wiktionary, the free dictionary. Bound or bounds may refer to: Bound variable Upper and lower bounds, observed limits of mathematical functions Bound...

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...

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...

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...