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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.

2 votes
2 answers
251 views

Procedure to determine the equality of numbers in rationals plus square root

Consider the set $\mathbb{Q}^\sqrt{}$ of real numbers that can be constructed by applying finitely many of the five operations $+$, $-$, $\cdot$, $/$ and $\sqrt{}$ to a positive rational number. Examp …
J Fabian Meier's user avatar
3 votes
1 answer
357 views

Equality of Euclidean numbers / constructible numbers

Euclidean numbers are those real number that can be constructed from the natural numbers by a finite chain of +,-,*,/ and $\sqrt{}$. They are also called Constructible Numbers. I am now interested in …
J Fabian Meier's user avatar
6 votes
1 answer
255 views

Algorithm that solves every Mixed Integer Linear Program (to optimality)?

Given a Mixed Integer Linear Program with rational coefficients (both for the objective functions and all constraints), is it always possible to solve it algorithmically? I know that you usually solv …
J Fabian Meier's user avatar
1 vote

Heuristic for choosing n-vectors from n-sets

Your problem seems to fit for neighbourhood search algorithms, i.e. you run through the search space by always exchanging one (or a few) of the vectors by other vectors and compare the resulting objective …
J Fabian Meier's user avatar