We give a series of successively weaker conjectures on the cohomology ring of the Grassmannian, starting with the Hilbert series of a certain natural filtration.

In this paper, we investigate eligibility of trend extraction through the empirical mode decomposition (EMD) and performance improvement of applying the ensemble EMD (EEMD) instead of the EMD for trend extraction from seasonal time series. The proposed method is an approach that can be applied on any time series with any time scales fluctuations. In order to evaluate our algorithm, experimental...

We study composition operators of characteristic zero on weighted Hilbert spaces Dirichlet series. For this purpose, we demonstrate the existence mean counting functions associated with series symbol, and provide a corresponding change variables formula for operator. This leads to natural necessary conditions boundedness compactness. Bergman-type spaces, are able show that compactness condition...

We compute the Hilbert series of graded algebra real regular functions on a linear symplectic quotient by 2-torus as well first four coefficients Laurent expansion this at $$t = 1$$ . describe an algorithm to in explicit examples.