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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.
12
votes
Is there an algorithm for determining whether an expression involving nested radicals is rat...
One possible algorithm (I fear that terribly slow) would be to produce all algebraic conjugates of your expression (substituting in every possible way each radical by all it's conjugates) and finding …
6
votes
Prime counting - any fast alternatives to the Lagarias-Miller-Odlyzko combinatorial method o...
I don't know if this might interest you, but there is a nice formula due to Lifchitz which allows to compute the parity of $\pi(x)$ in $O(\sqrt{x}\log x)$: if $\Pi(x)$ represent the number of prime po …