• DocumentCode
    3195130
  • Title

    Effective continued fractions

  • Author

    Lester, David

  • Author_Institution
    Dept. of Comput. Sci., Manchester Univ., UK
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    163
  • Lastpage
    170
  • Abstract
    Only the leading seven terms of a continued fraction are needed to perform on-line arithmetic, provided the continued fractions are of the correct form. This forms the basis of a proof that there is an effective representation of the computable reals as continued fractions; we also demonstrate that the basic arithmetic operations are computable using this representation
  • Keywords
    digital arithmetic; computable reals; effective continued fractions; on-line arithmetic; proof; Computer science; Convergence; Digital arithmetic; Floors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Arithmetic, 2001. Proceedings. 15th IEEE Symposium on
  • Conference_Location
    Vail, CO
  • ISSN
    1063-6889
  • Print_ISBN
    0-7695-1150-3
  • Type

    conf

  • DOI
    10.1109/ARITH.2001.930116
  • Filename
    930116
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3195130