کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1888815 | 1533642 | 2016 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The pλn fractal decomposition: Nontrivial partitions of conserved physical quantities The pλn fractal decomposition: Nontrivial partitions of conserved physical quantities](/preview/png/1888815.png)
A mathematical method for constructing fractal curves and surfaces, termed the pλn fractal decomposition, is presented. It allows any function to be split into a finite set of fractal discontinuous functions whose sum is equal everywhere to the original function. Thus, the method is specially suited for constructing families of fractal objects arising from a conserved physical quantity, the decomposition yielding an exact partition of the quantity in question. Most prominent classes of examples are provided by Hamiltonians and partition functions of statistical ensembles: By using this method, any such function can be decomposed in the ordinary sum of a specified number of terms (generally fractal functions), the decomposition being both exact and valid everywhere on the domain of the function.
Journal: Chaos, Solitons & Fractals - Volume 83, February 2016, Pages 27–37