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Volumn 49, Issue 2, 2007, Pages 211-235

Dynamical bias in the coin toss

Author keywords

Berry phase; Image analysis; Precession; Randomness

Indexed keywords

ANGULAR MOMENTUM; IMAGE ANALYSIS; VECTORS;

EID: 34250012263     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144504446436     Document Type: Article
Times cited : (140)

References (39)
  • 3
    • 0018286490 scopus 로고
    • Fitting conic sections to scattered data
    • F. L. BOOKSTEIN, Fitting conic sections to scattered data, Comput. Graphics Image Process, 9 (1979), pp. 56-71.
    • (1979) Comput. Graphics Image Process , vol.9 , pp. 56-71
    • BOOKSTEIN, F.L.1
  • 4
    • 0035349709 scopus 로고    scopus 로고
    • What Goes Up Must Come Down, Eventually
    • F. BRAUER, What Goes Up Must Come Down, Eventually, Amer. Math. Monthly, 108 (2001), pp. 437-440.
    • (2001) Amer. Math. Monthly , vol.108 , pp. 437-440
    • BRAUER, F.1
  • 12
    • 34249988807 scopus 로고    scopus 로고
    • W. GANDER, G. GOLUB, AND R. STREBEL, Fitting of Circles and Ellipses: Least Square Solution, Tech report SCCM-94-08, SCCM, Stanford University, Stanford, CA, 1994.
    • W. GANDER, G. GOLUB, AND R. STREBEL, Fitting of Circles and Ellipses: Least Square Solution, Tech report SCCM-94-08, SCCM, Stanford University, Stanford, CA, 1994.
  • 13
    • 0036842908 scopus 로고    scopus 로고
    • You can load a die but you can't bias a coin
    • A. GELMAN AND D. NOLAN, You can load a die but you can't bias a coin, Amer. Statist., 56 (2002), pp. 308-311.
    • (2002) Amer. Statist , vol.56 , pp. 308-311
    • GELMAN, A.1    NOLAN, D.2
  • 15
    • 85163164085 scopus 로고
    • On causality, statistics and probability
    • E. HOPF, On causality, statistics and probability, J. Math. Phys., 13 (1934), pp. 51-102.
    • (1934) J. Math. Phys , vol.13 , pp. 51-102
    • HOPF, E.1
  • 16
    • 0040911598 scopus 로고
    • Über die Bedeutung der Willkürlichen Funktionen für die Wahrscheinlichkeitstheorie
    • E. HOPF, Über die Bedeutung der Willkürlichen Funktionen für die Wahrscheinlichkeitstheorie, Jahresber. Deutsch. Math.-Verein., 46 (1936), pp. 179-195.
    • (1936) Jahresber. Deutsch. Math.-Verein , vol.46 , pp. 179-195
    • HOPF, E.1
  • 17
    • 34249998670 scopus 로고
    • Ein Verteilungsproblem bei dissipativen dynamischen Systemen
    • E. HOPF, Ein Verteilungsproblem bei dissipativen dynamischen Systemen, Math. Ann., 114 (1937), pp. 161-186.
    • (1937) Math. Ann , vol.114 , pp. 161-186
    • HOPF, E.1
  • 19
    • 0001766735 scopus 로고
    • 3D interpretation of conics and orthogonality
    • K. KANATANI AND W. LIU, 3D interpretation of conics and orthogonality, CVGIP: Image Understanding, 58 (1993), pp. 286-301.
    • (1993) CVGIP: Image Understanding , vol.58 , pp. 286-301
    • KANATANI, K.1    LIU, W.2
  • 20
    • 0001466055 scopus 로고
    • The probability of heads
    • J. B. KELLER, The probability of heads, Amer. Math. Monthly, 93 (1986), pp. 191-197.
    • (1986) Amer. Math. Monthly , vol.93 , pp. 191-197
    • KELLER, J.B.1
  • 21
    • 34250018290 scopus 로고
    • An Experimental Introduction to the Theory of Probability, J
    • Copenhagen
    • J. E. KERRICH, An Experimental Introduction to the Theory of Probability, J. Jorgensen Copenhagen, 1946.
    • (1946) Jorgensen
    • KERRICH, J.E.1
  • 24
    • 34250006242 scopus 로고    scopus 로고
    • pamphlet, Murphy's Magic Supplies, Rancho Cordova, CA
    • Heads or Tails, pamphlet, Murphy's Magic Supplies, Rancho Cordova, CA, 2006.
    • (2006) Heads or Tails
  • 25
    • 0004270403 scopus 로고
    • 3rd ed, Pergamon Press, Oxford, UK
    • L. LANDAU AND E. LIFSCHITZ, Mechanics, 3rd ed., Pergamon Press, Oxford, UK, 1976.
    • (1976) Mechanics
    • LANDAU, L.1    LIFSCHITZ, E.2
  • 26
    • 84976027975 scopus 로고
    • Is it the coin that is biased?
    • T. F. LINDLEY, Is it the coin that is biased?, Philosophy, 56 (1981), pp. 403-407.
    • (1981) Philosophy , vol.56 , pp. 403-407
    • LINDLEY, T.F.1
  • 27
    • 0033477940 scopus 로고    scopus 로고
    • L. LONG AND H. WEISS, The velocity dependence of aerodynamic drag: A primer for mathematicians, Amer. Math. Monthly, 106 (1999), pp. 127-135.
    • L. LONG AND H. WEISS, The velocity dependence of aerodynamic drag: A primer for mathematicians, Amer. Math. Monthly, 106 (1999), pp. 127-135.
  • 29
    • 0000413458 scopus 로고
    • How Much Does a Rigid Body Rotate?
    • R. MONTGOMERY, How Much Does a Rigid Body Rotate?, Amer. J. Phys., 59 (1991), pp. 394-398.
    • (1991) Amer. J. Phys , vol.59 , pp. 394-398
    • MONTGOMERY, R.1
  • 31
    • 33745285681 scopus 로고
    • Probability of a tossed coin falling on its edge
    • D. B. MURRAY AND S. W. TEARE, Probability of a tossed coin falling on its edge, Phys. Rev. E, 48 (1993), pp. 2547-2552.
    • (1993) Phys. Rev. E , vol.48 , pp. 2547-2552
    • MURRAY, D.B.1    TEARE, S.W.2
  • 33
    • 34250026458 scopus 로고    scopus 로고
    • L. SNELL, B. PETERSON, J. ALBERT, AND C. GRINSTEAD, Flipping, spinning and tilting coins, Chance News, 11.02 (2002), http:// www.dartmouth.edu/~chance/chance_news/recent_news /chance_news_11.02.html.
    • L. SNELL, B. PETERSON, J. ALBERT, AND C. GRINSTEAD, Flipping, spinning and tilting coins, Chance News, 11.02 (2002), http:// www.dartmouth.edu/~chance/chance_news/recent_news /chance_news_11.02.html.
  • 35
    • 34250016111 scopus 로고
    • Personal communication
    • A. TOOMRE, Personal communication, 1981.
    • (1981)
    • TOOMRE, A.1
  • 37
    • 0342671684 scopus 로고
    • Randomness of a true coin toss
    • V. Z. VULOVIC AND R. E. PRANGE, Randomness of a true coin toss, Phys. Rev. A, 33 (1986), pp. 576-582.
    • (1986) Phys. Rev. A , vol.33 , pp. 576-582
    • VULOVIC, V.Z.1    PRANGE, R.E.2
  • 38
    • 0009897283 scopus 로고    scopus 로고
    • Y. ZENG-YUAN AND Z. BIN, On the sensitive dynamical system and the transition from the apparently deterministic process to the completely random process, Appl. Math. Mech., 6 (1984), pp. 193-211.
    • Y. ZENG-YUAN AND Z. BIN, On the sensitive dynamical system and the transition from the apparently deterministic process to the completely random process, Appl. Math. Mech., 6 (1984), pp. 193-211.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.