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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
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To what extent can algorithms in undergraduate linear algebra be made continuous/polynomial/...

NB that "undergraduate linear algebra" is perhaps an artificial construct, and examples set to test whether students understand basic concepts do not really need formal algorithms to do that. …
Charles Matthews's user avatar
2 votes

Algorithms for finding rational points on an elliptic curve?

There are probabilistic algorithms, and then hard cases (evidence of a point of infinite order that is hard to find). See for example http://www.jstor.org/pss/2152939 . …
Charles Matthews's user avatar
3 votes

Determining a recurrence relation

I'd certainly expect to acquire some useful information by modular arithmetic, in a given situation. For example modulo a prime p, if there is a linear recurrence, then the sequence of residues must a …
Charles Matthews's user avatar