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continued fraction SAM.

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Treating it as a one-port network, the expression is expanded using continued fraction or partial fraction expansions.
en.wikipedia.org
Since this is a quadratic irrational, the continued fraction must be periodic (unless "n" is square, in which case the factorization is obvious).
en.wikipedia.org
He developed a multi-dimensional continued fraction algorithm in 1919/20 and applied this to problems in musical theory.
en.wikipedia.org

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