Fractal Summation

Principles of Polymer Chemistry, Cornell University Press, Ithaca, New York, 1953, 

1121 See R. Ferdinand, Principles of Polymer Systems, McGraw Hill, New York, 1970, p. 8. 

Stockmayer, in Molecular Fluids (Eds. R. Balian, G. Weill), Gordon and Branch, New York, 1976. 

Mandelbrot, Les Objets Fractals Forme, Hasard et Dimension, Paris, Flammarion, 1975. t54l B. B. Mandelbrot, Fractals Form, Chance and Dimension, San Francisco, Freeman, 1977. 

156] Takayasu, Fractals in the Physical Sciences, Manchester University Press, Manchester, 1990. 1571 A. Harrison, Fractals in Chemistry, New York, Oxford University Press, 1995. 

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Here X, as before, is the fugacity associated with each visited site of the lattice, D x) is the number of distinct configurations of the SAW which joins two vertices of the rth order of the fractal in the bulk and N is the number of sites visited by SAW, M and R represent respectively, the number of visited sites of the lattice which lie on the surface and on a layer adjacent to the surface. Summations in Eqs.(85) are on the repeated indices and M, R) and M,R) represent number of configurations of respective walks... 

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