The Bolyai expansion of a real number is a nested root of the form
where .
See also
Continued Fraction,
Nested
Radical
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References
Martin, G. "The Unreasonable Effectualness of Continued Function Expansions." 17 Jun 2002. http://arxiv.org/abs/math.NT/0206166.Rényi,
A. "Representations for Real Numbers and Their Ergodic Properties." Acta
Math. Acad. Sci. Hungar. 8, 477-493, 1957.Trott, M. The
Mathematica GuideBook for Programming. New York: Springer-Verlag, pp. 80-81,
2004. http://www.mathematicaguidebooks.org/.Referenced
on Wolfram|Alpha
Bolyai Expansion
Cite this as:
Weisstein, Eric W. "Bolyai Expansion."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BolyaiExpansion.html
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