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...

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

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...

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...

=\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...

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 (...

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...

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

T(n)} . Upper and lower bounds are usually stated using the big O notation, which hides constant factors and smaller terms. This makes the bounds independent...

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"...

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...

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

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

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...

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

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...

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...

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...

{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...

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

also impose a lower limit on growth rates, as well as upper and lower bounds on rates of convergence. In 1964 Milton Green developed a lower bound for the...

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

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...

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...

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...

some known upper and lower bounds for the maximal number of nodes on a complex surface of given degree. In degree 7, 9, 11, and 13, the upper bound is given...

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...

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...

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...