Abstract
FOR convenience, let (1; a, b, c, …) mean the chain-fraction of which 1/a is the first convergent, and a, b, c, etc., are the partial quotients. Consider all such fractions which have no partial quotient greater than 9: the greatest of these is the periodic fraction (1; 1, 9), and the least is (1; 9, 1). We have,
Similar content being viewed by others
Article PDF
Rights and permissions
About this article
Cite this article
MATHEWS, G. A Property of Chain-Fractions. Nature 93, 136 (1914). https://doi.org/10.1038/093136b0
Issue Date:
DOI: https://doi.org/10.1038/093136b0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.