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Speedup is a way to quantify the advantage of using a parallel algorithm over a sequential algorithm. The speedup $S$ is defined as
$$ S = \frac{R}{P} $$ Where $R$ is the running time of the best available sequential algorithm and $P$ is the running time of the parallel algorithm.
Ideally, on a system with $N$ processors, the speedup for any algorithm would be $N$ Amdahl's law deals with the speedup in more realistic situations.
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