upper bound


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Related to upper bound: Upper Bound and Lower Bound

upper bound

[¦əp·ər ′bau̇nd]
(mathematics)
If S is a subset of an ordered set A, an upper bound b for S in A is an element b of A such that xb for all x belonging to A.
An upper bound on a function ƒ with values in a partially ordered set A is an element of A which is larger than every element in the range of ƒ.

upper bound

An upper bound of two elements x and y under some relation <= is an element z such that x <= z and y <= z.

("<=" is written in LaTeX as \sqsubseteq).

See also least upper bound.
References in periodicals archive ?
Besides(21), we can also get another upper bound from (18) as follows:
Integrating from the lower bound 0 to the upper bound [UB.
Log-normal distribution crossed the upper bound at 900 return periods and log-Pearson III crossed it at 5000 return period.
Note that the order of this upper bound is the same as that of the lower bound (12).
When dealing with Question 4 (or more generally Conjecture 2), one might be tempted to invoke inductive arguments to prove an upper bound on [[chi]'.
To implement Definition 1, we provide Theorem 2 below to determine the threshold upper bound.
The main difference is the additional rule A2, which gives us a significant improvement in the upper bound we establish.
n total words nodes edges upper bound longest known 2 124 124 5720 124 124 3 1292 1292 501264 1292 1292 4 5454 5454 5808171 5454 5454 5 12478 12478 16194748 12478 12460 6 22157 22157 24697183 17739 17739 7 32909 32909 22962030 23083 23079 8 40161 40126 14489309 25895 25251 9 40727 39877 5048867 22795 19183 10 35529 30012 1281031 16887 10059 11 27893 15748 228996 9703 4584 12 20297 5559 36281 3853 1791 13 13857 1085 3436 863 346 14 9116 237 640 195 81 15 5757 61 164 41 34
An upper bound can be calculated for exposures that have been excluded of the computation.
The Upper Bound, as defined in this study, illustrates the limitations of extraordinary technological advancements.
Using the present method shows that research results give an interval with upper bound results (Frazaneh & Askari [11]) that surely provide the accurate response.