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Results tagged with continued-fractions
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user 23571
6
votes
Periods of the continued fraction expansions of Galois-conjugate quadratic-irrationals
The periodic part of the continued fraction for the Galois conjugate is always the mirror image of the periodic part for the original quadratic irrational. Here we are viewing the periodic part as a c …
- 20k
8
votes
distance formula in Farey graph?
The distance from $1/0$ to $p/q$ in the Farey diagram is some function of the continued fraction for $p/q$, which determines the strip of triangles in the diagram joining $1/0$ and $p/q$. If all the t …
- 20k