β Scribed by Longjun Xu; Daijun Zhang; Xuefu Xian
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where D is fractal dimension over the range [S 0 , R max rS 0 / Using adsorption data, we get formulas for the calculation of R min ] (S 0 is the sectional area of a molecule). Because of fractal dimensions: log[A CO 2 (DP) /A N 2 ( BET ) ] Γ 05.3984(2 0 D 1 )/2 special surface area A Γ nS, Eq. [1] becomes and log[A CO 2 ( BET ) /A N 2 ( BET ) ] Γ 04.9569(2 0 D 2 )/2. The fractal dimensions (D) of 27 coals and 2 cokes have been obtained. The A Ο° S (20D)/2 . [2] D of coals decreased with the increase of f a and reached a maximum at H/C equal to 0.66 (or C daf about 86%). The fractal dimension is relative to ash and volatiles of coal: D Γ 2.2237 / 0.6249V daf (2) With a fixed adsorbate, if geometrically similar adsor-/ 0.8863A d . The relationship between D of coal coke and its bent particles of variable diameter (2R) are chosen, then conversions (X ) obeys the following equation: D Γ a exp(0bX) / c.
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## Abstract Classical fractal dimensions (Hausdorff dimension and packing dimension) have recently been effectivized by (i) characterizing them in terms of realβvalued functions called gales, and (ii) imposing computability and complexity constraints on these gales. This paper surveys these develop
## Abstract As a result of their structure, polymeric phthalocyanines have four fractal dimensions for every size/shape/dilation combination. The construction of polymeric phthalocyanines resembles known fractals. A structure model of the polymer is extended. For infinitely large polymeric phthaloc