Partial Quotients

Some articles on partial quotients, partial:

Transcendental Number - Properties
... Any Liouville number must have unbounded partial quotients in its continued fraction expansion ... one can show that there exist transcendental numbers which have bounded partial quotients and hence are not Liouville numbers ... e is not a Liouville number (although the partial quotients in its continued fraction expansion are unbounded) ...
Restricted Partial Quotients
... be restricted, or composed of restricted partial quotients, if the sequence of denominators of its partial quotients is bounded that is and there is some positive integer M such that all the (integral) partial ...

Famous quotes containing the word partial:

    The one-eyed man will be King in the country of the blind only if he arrives there in full possession of his partial faculties—that is, providing he is perfectly aware of the precise nature of sight and does not confuse it with second sight ... nor with madness.
    Angela Carter (1940–1992)