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On the Applicability of Pairwise Separations Method in Astronomy: Influence of the Noise in Data

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Abstract

We used Wolfram Mathematica 11 to study the applicability of the pairwise separations method of estimating fractal dimensions in astronomy. Realistic, i.e. not too large and noisy datasets are used in the simulations. Results demonstrate that one has to be careful when using pairwise separations method, especially with small noisy 3D data.

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Correspondence to Jurell Benjamin.

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Benjamin, J., Walker, D., Mylläri, A. et al. On the Applicability of Pairwise Separations Method in Astronomy: Influence of the Noise in Data. Math.Comput.Sci. 13, 5–10 (2019). https://doi.org/10.1007/s11786-018-0373-1

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  • DOI: https://doi.org/10.1007/s11786-018-0373-1

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