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Superclusters are a convenient way to partition and characterize the large scale structure of the Universe. In this Letter we explore the advantages of defining superclusters as watershed basins in the divergence velocity field. We apply this definition on diverse datasets generated from linear theory and N-body simulations, with different grid sizes, smoothing scales and types of tracers. From this framework emerges a linear scaling relation between the average supercluster size and the autocorrelation length in the divergence field, a result that holds for one order of magnitude from 10 Mpc/h up to 100 Mpc/h. These results suggest that the divergence-based definition provides a robust context to quantitatively compare results across different observational or computational frameworks. Through its connection with linear theory, it can also facilitate the exploration of how supercluster properties depend on cosmological parameters, paving the way to use superclusters as cosmological probes., Comment: 5 pages, 6 figures, accepted for publication in MNRAS Letters

We recorded maps of cortical and systemic hemodynamic responses (oxy-hemoglobin, O2Hb and deoxy-hemoglobin, HHb) during incremental neuromuscular electrical stimulation (NMES) of the right forearm in nine subjects by a 32- channel time domain fNIRS (TD-fNIRS) instrument. Statistical parametric maps (SPM) relative to the different current stimulations (under and over the maximal tolerated intensity-MTI) versus the 10%MTI were generated. Exploiting the temporal information contained in the TD-fNIRS signal it was possible to create different maps referring to the deeper (cortical activations) and the more superficial (systemic changes) head layers. The increasing of the stimulation current on the right forearm muscle produced a significantly larger bilateral sensorimotor and prefrontal cortical activations (i.e. increase in the O2Hb and decrease in HHb) than the systemic changes. Physiological parameters (heart rate, breathing rate and skin conductance) were also monitored.