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Construction of a random sequence

Abstract

A completely equidistributed sequence of real numbers is constructed explicitly.

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References

  1. 1.

    D. G. Champernowne,The construction of decimals normal in the scale of ten, J. London Math. Soc. 8 (1933) 254–260.

    Google Scholar 

  2. 2.

    L. R. Ford, Jr.,A Cyclic Arrangement of m-tuples, report p-1071, Rand Corporation, Santa Monica, California, 1957.

    Google Scholar 

  3. 3.

    Joel N. Franklin,Deterministic Simulation of Random Processes, Math. Computation 17 (1963) 28–57.

    Google Scholar 

  4. 4.

    S. W. Golomb and L. R. Welch,Nonlinear Shift-register Sequences, memorandum 20–149, Jet Propulsion Laboratory, Pasadena, California, 1957.

    Google Scholar 

  5. 5.

    I. J. Good,Normal Recurring Decimals, J. London Math. Soc. 21 (1946) 167–169.

    Google Scholar 

  6. 6.

    G. H. Hardy and E. M. Wright,The Theory of Numbers, Oxford, chapter 9.

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Knuth, D.E. Construction of a random sequence. BIT 5, 246–250 (1965). https://doi.org/10.1007/BF01937504

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Keywords

  • Real Number
  • Computational Mathematic
  • Random Sequence