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Time and memory (also called space) are the two most fundamental resources in computation: Every algorithm takes some time to run and requires some space to store data while it’s running.
Climate models can be a million lines of code long and can take months to run on supercomputers. A new algorithm has dramatically shortened that time.
That’s not to say they’re not doing so – every time I Google something, I’m aware that I end up where I do thanks in large part to the search algorithm.
Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them — that is, the algorithms that run fastest or use ...
The running time of our algorithm, although polynomial in the system size, is hardly practical as the exponent of this polynomial given by our analysis is very large.
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