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Home : Math & Science : Computer Science Study Guides : Searching : Efficiency : Introduction and Summary
Introduction and Summary
When comparing two algorithms, there are many metrics one
could use, but most of these measurements are platform and
implementation dependent (meaning that the results of the
measurements depend on what type of computer the algorithm is
running on, and how well the algorithm was coded. Note that
when coding complex algorithm, programmers have a great deal of
liberty in what data structures are used, how certain processes
are implemented, etc). Computer scientists need a measure for
comparing algorithms in abstract terms. This abstract
measurement is called efficiency. Efficiency measures the
complexity of an algorithm, measuring how many abstract,
conceptual operations it needs to perform.
Efficiency is often measured in terms of Big-O notation,
written as O(). Algorithms are then described in terms of
the number of abstract operations they perform. For example,
the bubble sort algorithm runs in O(n2) time while quicksort
runs in O(nlogn) time. By comparing the Big-O's of two
algorithms, one can quickly visualize which algorithm will
work faster under certain situations.
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