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Multi-Dimension Array Kronecker Product And Fractals

Posted on:2017-07-30Degree:MasterType:Thesis
Country:ChinaCandidate:J J ShanFull Text:PDF
GTID:2310330485492593Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
This paper mainly instroduce the method of fractals generating by the multi-dimensional array iteration of kronercker product. Constructing the "0-1" projection array, we calculcate the box dimension of these fractals. Further more, by constructing the bi-Lipschitz map between square and sector ring, we give the Hausdorff dimension of two class of modified Sierpinski carpets.
Keywords/Search Tags:kronecker product, multi-dimensional array, fractals, Hausdorff dimension, bi-Lipschitz map
PDF Full Text Request
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