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Subject: A final stab at big-O

Author: Dann Corbit

Date: 12:49:26 05/09/01


Suppose that I have a collection of sorting algorithms.

I know that the count of vector elements to be put into sorted order will never
exceed a size_t.

I have a counting sort that can sort in O(n*log(element_length))

I have a relaxed-quick-heapsort that can sort in O(log(n!))

I have an shell sort that can sort in O(n^(1 + epsilon/n))

Now, since we know that the count will never exceed a size_t, have all these
calculations really simplified to O(1)?  Is there really no way to choose
between them?  If they really do retain their original behaviors, then what is
the utility of declaring them to be O(1)?





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