Figure 6
Characterization of Schubert polynomials generated by the near-field pattern compared with the (a) uniformly distributed and (b) spatially strongly skewed (centred) patterns. (c) Inversion number distribution when N = 8 by the near-field, uniform, and centre patterns. (d, e) Basic statistical analysis of the (d) inversion number and (e) singularity number as a function of the size of the matrix (N). (i) Average, (ii) median, and (iii) standard deviations are examined and no evident differences among the sources are observed. (f, g) When the incidence is normalized by the number of unique matrices, evident source dependencies are observed in both the (f) inversion number and (g) singularity number.
