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Fig. B.1.

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Spearman rank correlation between the tidal anisotropy and the overdensity as a function of halo mass. Different fixed Gaussian smoothing scales, S, have been used, as indicated by the legend. The solid black line indicates the Spearman rank correlation at a variable scale corresponding to the radius of the halo, i.e. 4 · R 200 b / 5 $ 4\cdot R_{200b}/\sqrt {5} $. Our chosen smoothing scale for the tidal anisotropy, 4·R200b, corresponds to the maximum correlation for any mass range considered, and the correlation at this scale envelopes the correlations computed at other smoothing scales.

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