Applied Algebra, Algebraic Algorithms and Error-Correcting

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Click here for more information about problem solving. For instance, 6<8 because 8−6=2>0 CHAPTER 5 Number Systems 85 Likewise, −5 < −1 because − 1 − (−5) = 4 > 0 Observe that the same ordering works on the rational numbers.  If A is a strictly ordered set and a, b are elements then we often write a ≤ b to mean that either a = b or a < b. Unfortunately, on rare occasions (including cases where the input is already sorted or contains items that are all equal) quicksort requires a worst-case O(n2) comparisons, while the other two methods remain O(n log n) in their worst cases.

Pages: 270

Publisher: Springer; 2003 edition (June 13, 2008)

ISBN: 3540401113

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