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The upper bound of a set S is a number u such that
if x is any element of S, then x ≤ u and
in e is any positive number, no matter how small, then there is some element, y, of S such that y > u - e.
In other words, u is greater than or equal to all members of the set and that no number smaller than u meets that requirement.
For finite sets, u will be the maximum of the set. For infinite sets it is either the maximum or the limiting value of the maximum.
An example of the last type is illustrated by the set {1-(1/2)n, where n is a positive integer}.
The members of the set are {1/2, 3/4, 7/8, 15/16, 31/32, ...} They get closer and closer to 1. But they never actually reach 1 and certainly never exceed 1. 1 is not the maximum of the set in the sense that an element of the set is actually equal to 1, but it is the limiting value for the maximum.
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17.7 to 1dp lower and upper bound?
Lower bound is 17.6 and upper bound is 17.8
What is an example of a function that is continuous and bounded on the interval a b but does not attain its upper bound?
A function whose upper bound would have attained its upper limit at a bound. For example, f(x) = x - a whose domain is a < x < b The upper bound is upper bound is b - a but, because x < b, the bound is never actually attained.
What are the lower bound estimate and the upper bound estimate found by rounding to the greatest place 937 and ndash 156 A. lower bound 700 upper bound 800 B. lower bound 700 upper bound 900 C. lower?
The answer is B.
What is the upper bound estimate?
An upper bound estimate is a estimate that is greater than the actual solution.
How do you define the least upper bound of a subset?
Let (B, ≤) be a partially ordered set and let C ⊂ B. An upper bound for C is an element b Є Bsuch that c ≤ b for each c Є C. If m is an upper bound for C, and if m ≤ b for each upper bound b of C, then m is a least upper bound of C. C can only have one least upper bound, and it may not have any at all (depending on B). The least upper bound of a set C is often written as lub C.See related links for more information.
What is the name of the timeline or period that can be broken into Upper Middle and Lower?
In archaeology the Paleolithic period is traditionally divided into Upper, Middle and lower.Although any division of geologic time can be referred to in terms of Upper, Middle, and Lower.
What is the upper bound of 21.4?
The upper bound of a number is the smallest value that is greater than or equal to that number. For 21.4, the upper bound can be considered as 21.5, since it is the next decimal value that exceeds 21.4. However, in a more general context, any number greater than 21.4 can also serve as an upper bound.
What is the connection between Theta and Big-O notation?
Big O gives an upper bound whereas big theta gives both an upper bound and a lower bound.
What is the upper bound of an array whose size is 100?
The upper bound is the size minus 1 since VB starts with zero not one.
WHAT IS THE UPPER BOUND OF 4.46 TO 2 DP?
4.46 is a fixed number: it has no upper nor lower bound. To 2 dp it is 4.46
What is the upper and lower bound of 6800?
The upper bound of a number is the smallest whole number that is greater than or equal to the given number. In this case, the upper bound of 6800 is 6800 itself. The lower bound of a number is the largest whole number that is less than or equal to the given number. Therefore, the lower bound of 6800 is also 6800.
Where is Fort Couch middle school?
fort couch middle is located in Pittsburgh pa in a small tonship called upper saint Clair
