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Volumn 178, Issue 1-2, 1997, Pages 155-169

Normal numbers and sources for BPP

Author keywords

[No Author keywords available]

Indexed keywords

BIT ERROR RATE; COMPUTATIONAL METHODS; NUMBER THEORY; RANDOM PROCESSES;

EID: 0031145736     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(96)00099-0     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 85117087055 scopus 로고
    • Measure on small complexity classes, with applications for BPP
    • E. Allender and M. Strauss, Measure on small complexity classes, with applications for BPP, in: Proc. 35th FOCS Conf. (1994) 807-818.
    • (1994) Proc. 35th FOCS Conf. , pp. 807-818
    • Allender, E.1    Strauss, M.2
  • 2
    • 0023416467 scopus 로고
    • One-way functions and circuit complexity
    • R. Boppana and J. Lagarias, One-way functions and circuit complexity, Inform. and Comput. 74 (1987) 225-240.
    • (1987) Inform. and Comput. , vol.74 , pp. 225-240
    • Boppana, R.1    Lagarias, J.2
  • 4
    • 84963053675 scopus 로고
    • The construction of decimals normal in the scale of ten
    • D.G. Champernowne, The construction of decimals normal in the scale of ten, J. London Math. Soc. 8 (1993) 254-260.
    • (1993) J. London Math. Soc. , vol.8 , pp. 254-260
    • Champernowne, D.G.1
  • 8
    • 0345749288 scopus 로고
    • Sur certains démonstrations d'existence
    • H. Lebesgue, Sur certains démonstrations d'existence. Bull. Soc. Math. France 45 (1917) 132-144.
    • (1917) Bull. Soc. Math. France , vol.45 , pp. 132-144
    • Lebesgue, H.1
  • 9
    • 0346380534 scopus 로고
    • On absolutely normal numbers
    • M.B. Levin, On absolutely normal numbers, Moscow Univ. Math. Bull. 34(1) (1979) 32-39.
    • (1979) Moscow Univ. Math. Bull. , vol.34 , Issue.1 , pp. 32-39
    • Levin, M.B.1
  • 10
    • 0025590573 scopus 로고
    • Pseudorandom sources for BPP
    • J. Lutz, Pseudorandom sources for BPP, J. Comput. and System Sci. 41 (1990) 307-320.
    • (1990) J. Comput. and System Sci. , vol.41 , pp. 307-320
    • Lutz, J.1
  • 11
    • 0026851355 scopus 로고
    • Almost everywhere high nonuniform complexity
    • J. Lutz, Almost everywhere high nonuniform complexity, J. Comput. and System Sci. 44 (1992) 220-258.
    • (1992) J. Comput. and System Sci. , vol.44 , pp. 220-258
    • Lutz, J.1
  • 13
    • 84972544002 scopus 로고
    • On the definition of normal numbers
    • I. Niven and H. Zuckerman, On the definition of normal numbers, Pacific J. Math. 1 (1951) 103-109.
    • (1951) Pacific J. Math. , vol.1 , pp. 103-109
    • Niven, I.1    Zuckerman, H.2
  • 14
    • 0006892517 scopus 로고
    • Démonstration élémentaire du théorème du M. Borel sur les nombres absolument normaux et determination effective d'un tel nombre
    • W. Sierpinski, Démonstration élémentaire du théorème du M. Borel sur les nombres absolument normaux et determination effective d'un tel nombre, Bull. Soc. Math. France 45 (1917) 127-132.
    • (1917) Bull. Soc. Math. France , vol.45 , pp. 127-132
    • Sierpinski, W.1
  • 15
    • 0346380530 scopus 로고    scopus 로고
    • Measure on P: Strength of the notion
    • Department of Computer Science, Iowa State University
    • M. Strauss, Measure on P: strength of the notion, Technical Report TR95-26, Department of Computer Science, Iowa State University, 1996.
    • (1996) Technical Report TR95-26
    • Strauss, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.