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DIMENSION ANALYSIS ON A CLASS OF BUSH TYPE FRACTAL SURFACES 被引量:1

DIMENSION ANALYSIS ON A CLASS OF BUSH TYPE FRACTAL SURFACES
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摘要 In this paper,the authors construct a class of fractal surfaces,Bush type surfaces,based on the Bush type functions.The Box dimension,Packing dimension and Hausdorff dimension of such surfaces are investigated. In this paper,the authors construct a class of fractal surfaces,Bush type surfaces,based on the Bush type functions.The Box dimension,Packing dimension and Hausdorff dimension of such surfaces are investigated.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第1期7-14,共8页 高校应用数学学报(英文版)(B辑)
关键词 Bush surfaces Box dim ension Packing dim ension Hausdorffdim ension. Bush surfaces,Box dim ension,Packing dim ension,Hausdorffdim ension.
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  • 1刘文.一类连续函数[J]科学通报,1977(09).

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  • 1Masayoshi Hata.Singularities of the Weierstrass type functions[J].Journal d’Analyse Mathématique.1988(1)
  • 2Michael F. Barnsley.Fractal functions and interpolation[J].Constructive Approximation.1986(1)
  • 3Hobsen,E.W.The theory of functions of real variable and the theory of Fourier’s series, 3rd ed[]..1950
  • 4Falconer,K.Fractal geometry: mathematical foundations and applications[]..1990

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