An Elementary Remark on the Accuracy of Approximations by Regular Continued Fractions

Bauer, F. L.
June 2006
Mathematical Intelligencer;Summer2006, Vol. 28 Issue 3, p38
Academic Journal
The article reflects on the accuracy of approximations by regular continued fractions. Continued fractions have been used for the approximation of irrational real numbers. Common lore says that negative decimal logarithm of the relative error in the approximating quotient is close to the sum of the decimal logarithms of the numerator and the denominator.


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