We use the Magneticum suite of state-of-the-art hydrodynamical simulations to identify cosmic voids based on watershed technique and investigate their most fundamental properties across different resolutions in mass scale. This encompasses distributions void sizes, shapes, content, as well radial density velocity profiles traced by distribution cold dark matter particles halos. also study impac...

let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...