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Can an individual sequence of zeros and ones be random?

V. A. Uspenskii^a, A. L. Semenov^b, A. Kh. Shen'<sup>c

a</sup> M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Science Counsil RAS on Complex Problem 'Cybernetics' RAS
^c Institute for Information Transmission Problems, Russian Academy of Sciences

MSC: 60Exx, 60Bxx, 11Y16, 68Q30, 11B68

Received: 10.07.1989

 English version: Russian Mathematical Surveys, 1990, 45:1, 121–189

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