Equations for toy and real huge systems
These statements are
important because they hold true for data assimilation systems in very large multidimensional problems (e.g., NWP).
We have to replace scalars (obs, forecasts) by vectors
Instead of
model, analysis and observational scalars, we have
3-dimensional vectors of sizes of the order of 107-108
and
their error variances by error covariances:
