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Jan 17, 2023 · upper_bound () is a standard library function in C++ defined in the header . It returns an iterator pointing to the first element in the range [first, last] that is greater than value, or last if no such element is found.
May 20, 2024 · Returns the first iterator iter in [first,last) where bool(comp(value, *iter)) is true, or last if no such iter exists. If the elements elem of [first,last) are not partitioned with respect to the expression bool(comp(value, elem)), the behavior is undefined.
An upper bound is said to be a tight upper bound, a least upper bound, or a supremum, if no smaller value is an upper bound. Similarly, a lower bound is said to be a tight lower bound , a greatest lower bound , or an infimum , if no greater value is a lower bound.
Condition (i) states that \(q\) is an upper bound of \(A,\) while (ii) implies that no smaller element \(p\) is such a bound (since it is exceeded by some \(x\) in A). When combined, (i) and (ii) state that \(q\) is the least upper bound.
Upper Bound. A value that is greater than or equal to every element of a set of data. Example: in {3,5,11,20,22} 22 is an upper bound. But be careful! 23 is also an upper bound (it is greater than any element of that set), in fact any value 22 or above is an upper bound, such as 50 or 1000.
The upper bound is the smallest value that would round up to the next estimated value. For example, a mass of 70 kg, rounded to the nearest 10 kg, has a lower bound of 65 kg, because 65 kg is...
An upper bound in mathematics is simply the highest value that a set of numbers or variables can attain. It’s like a ceiling on the maximum value that can be reached, and every value in the set has to be less than or equal to this upper bound.
