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| Topic: |
Technology
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| Number of pages / Number of words: |
3 / 757 |
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In addition, we don't know exactly how long each operation might actually take on a certain computer.†(Sestoft, p. 95) The order of magnitude appeals to our sense that n2 is a faster-growing function than a linear function like n. To describe the order of magnitude of a function, we use Big-O notation...
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If we had an algorithm that did 7n4 +35n3 - 19n2 + 3 operations, its big-O notation would be O(n4). (Sestoft, p. 89) If we had an algorithm that did 2n + 5 operations, the big-O notation would be O(n). A function g(n) is in the class of functions of the order f (n) if, and only if, we can multiply f (n) by some constant c, and ignore all the n below some constant n0, and have the function c*f (n) be greater (for each n > n0) than g(n)...
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