Randomness as an invariant for number representations

  • C. Calude
  • H. Jürgensen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 812)


We show that the usual positional representations of a real number are either random, in the sense of Martin-Löf, for all bases or not so for any base. Thus, randomness is an invariant of number representations. All our proofs are constructive.


Random Sequence Binary Sequence Recursive Function Infinite Sequence Irrational Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • C. Calude
    • 1
  • H. Jürgensen
    • 2
  1. 1.Computer Science DepartmentThe University of AucklandAucklandNew Zealand
  2. 2.Department of Computer ScienceThe University of Western OntarioLondonCanada

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