We obtain new families of (1,2)–symplectic invariant metrics on the full complex flag manifolds F (n). For n ≥ 5, we characterize n−3 different n–dimensional families of (1,2)–symplectic invariant metrics on F (n). Any of these families corresponds to a different class of non–integrable invariant almost complex structure on F (n).

It is common practice to summarize the skill of weather forecasts from an accumulation of samples spanning many locations and dates. In calculating many of these scores, there is an implicit assumption that the climatological frequency of event occurrence is approximately invariant over all samples. If the event frequency actually varies among the samples, the metrics may report a skill that is...