An expansion of a density field or particle distribution in basis functions which solve the Poisson equation both provides an easily parallelized n-body force algorithm and simplifies perturbation theories. The expansion converges quickly and provides the highest computational advantage if the lowest-order potential-density pair in the basis looks like the unperturbed galaxy or stellar system. ...

A common thread across the reviews was a request for more justification of the retrieval of a height-invariant Nw, and for evaluation of the retrievals through the vertical profile. In response we have added Figs. 5, 9 & 12 evaluating the averaged vertical profile of retrieved and forward-modelled variables in key precipitation regimes: moderate stratiform rain (case 1), light stratiform rain w...

This study investigated the influence of changing the antero-posterior (AP) and vertical proportions of the lower face on the rankings of facial attractiveness. Four hundred and fifty-four (219 males and 235 females) native Jordanians of various ages and professions rated the attractiveness of a sequence of antero-posteriorly and vertically altered male and female profile images. Attractiveness...

The vertical motion of particles, drops and organisms through density stratified fluids is ubiquitously found in oceans and lakes. Settling dynamics of marine snow particles, rising motion of drops during oil spills, formation of phytoplankton blooms, and diel vertical migration of organisms are just a few of these examples. Transport properties in these examples are modified when the density o...

In a two-microphone approach, interaural differences in time (ITD) and interaural differences in sound intensity (IID) have generally been used for sound source localization. But those cues are not effective for vertical localization in the median plane (direct front). For that purpose, spectral cues based on features of head-related transfer functions (HRTF) have been investigated, but they ar...