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Volumn 61, Issue 1, 2010, Pages 21-31

Scaling of mathematical fractals and box-counting quasi-measure

Author keywords

Fractals; Quasi measures; Scaling

Indexed keywords

BOX-COUNTING; FRACTAL MEASURES; FRACTAL OBJECTS; FRACTAL ROUGH SURFACE; PHYSICAL QUANTITIES; SCALING PROPERTIES;

EID: 77949261640     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-009-0010-6     Document Type: Article
Times cited : (16)

References (13)
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    • Some fractal models of fracture
    • Borodich F. M.: Some fractal models of fracture. J. Mech. Phys. Solids 45, 239-259 (1997).
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    • Borodich, F.M.1
  • 2
    • 0000012899 scopus 로고    scopus 로고
    • Scaling range and cutoffs in empirical fractals
    • Malcai O., Lidar D. A., Biham O., Avnir D.: Scaling range and cutoffs in empirical fractals. Phys. Rev. E 56, 2817-2828 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 2817-2828
    • Malcai, O.1    Lidar, D.A.2    Biham, O.3    Avnir, D.4
  • 5
    • 10144258705 scopus 로고    scopus 로고
    • Is the cause of size effect on structural strength fractal or energetic-statistical?
    • Bazant Z. P., Yavari A.: Is the cause of size effect on structural strength fractal or energetic-statistical?. Eng. Fract. Mech. 72, 1-31 (2005).
    • (2005) Eng. Fract. Mech. , vol.72 , pp. 1-31
    • Bazant, Z.P.1    Yavari, A.2
  • 6
    • 0001573853 scopus 로고
    • Similarity principles for the biology of pelagic animals
    • Barenblatt G. I., Monin A. S.: Similarity principles for the biology of pelagic animals. Proc. Natl. Acad. Sci. USA 80, 3540-3542 (1983).
    • (1983) Proc. Natl. Acad. Sci. USA , vol.80 , pp. 3540-3542
    • Barenblatt, G.I.1    Monin, A.S.2
  • 7
    • 0042373018 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Barenblatt G. I.: Scaling. Cambridge University Press, Cambridge (2003).
    • (2003) Scaling
    • Barenblatt, G.I.1
  • 9
    • 0345646381 scopus 로고    scopus 로고
    • Non-classical scaling of microcrack patterns and crack propagation
    • Presses de l'école nationale des Ponts et Chaussées, Paris
    • Borodich, F. M.: Non-classical scaling of microcrack patterns and crack propagation. In: Multiple Scale Analyses and Coupled Physical Systems. Presses de l'école nationale des Ponts et Chaussées, Paris, pp. 493-500 (1997).
    • (1997) Multiple Scale Analyses and Coupled Physical Systems , pp. 493-500
    • Borodich, F.M.1
  • 10
    • 77949262205 scopus 로고    scopus 로고
    • Elements of the Theory of Functions and Functional Analysis. Measure
    • Hilbert Space. Doven Publications, New York
    • Kolmogorov, A. N., Fomin, S. V.: Elements of the Theory of Functions and Functional Analysis. Measure. The Lebesgue Integral, vol. 2. Hilbert Space. Doven Publications, New York (1999).
    • (1999) The Lebesgue Integral , vol.2
    • Kolmogorov, A.N.1    Fomin, S.V.2
  • 12
    • 0032290779 scopus 로고    scopus 로고
    • Parametric homogeneity and non-classical self-similarity. I. Mathematical background
    • Borodich F. M.: Parametric homogeneity and non-classical self-similarity. I. Mathematical background. Acta Mech. 131, 27-45 (1998).
    • (1998) Acta Mech. , vol.131 , pp. 27-45
    • Borodich, F.M.1
  • 13
    • 0001851104 scopus 로고    scopus 로고
    • Surface integrals for domains with fractal boundaries and some applications to elasticity
    • Borodich F. M., Volovikov A. Y.: Surface integrals for domains with fractal boundaries and some applications to elasticity. Proc. R. Soc. Lond. Ser. A. 456, 1-23 (2000).
    • (2000) Proc. R. Soc. Lond. Ser. A. , vol.456 , pp. 1-23
    • Borodich, F.M.1    Volovikov, A.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.