### Some articles on *continued fraction expansion, continued fractions, continued fraction, fractions*:

... have unbounded partial quotients in its

**continued fraction expansion**... Using the explicit

**continued fraction expansion**of e, one can show that e is not a Liouville number (although the partial quotients in its

**continued fraction expansion**are unbounded) ... It is conjectured that all infinite

**continued fractions**with bounded terms that are not eventually periodic are transcendental (eventually periodic

**continued fractions**correspond to quadratic ...

**Continued Fraction Expansion**s - Typical Continued Fractions

... numbers do not have any periodic or regular behavior in their

**continued fraction expansion**... root of the denominator of the nth convergent of the

**continued fraction expansion**of almost all real numbers approaches an asymptotic limit, which is known as Lévy's constant ... Lochs' theorem states that nth convergent of the

**continued fraction expansion**of almost all real numbers determines the number to an average accuracy of just over n decimal places ...

**Continued Fraction Expansion**- Pell's Equation

... equation) and its variants yield a method for efficiently finding

**continued fraction**convergents of square roots of integers ... (where p and q are integers) to the equation, then is a

**continued fraction**convergent of, and as such, is an excellent rational approximation to it ... quickly, iterate Notice that the corresponding sequence of

**fractions**coincides with the one given by the Hero's method starting with ...

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—John Dos Passos (1896–1970)

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