We study actions of pointed Hopf algebras in the Z-graded setting. Our main result classifies inner-faithful generalized Taft on quantum Weyl which respect Z-grading. also show that generically invariant rings are commutative rings.

Since late 1990s, Empirical Mode Decomposition (EMD) starts to emerge as a powerful tool for processing non-linear and non-stationary signals. Nonetheless, the research on exploring EMD-relevant techniques in the domain of geometric modeling and processing is extremely rare. Directly applying EMD to coordinate functions of 3D shape geometry will not take advantage of the attractive EMD properti...

This paper proposes a novel and effective geometric invariant shape representation based on Radon and adaptive stationary wavelet transforms. The proposed representation is invariant to general geometrical transformations. Instead of analyzing shapes directly in the spatial domain, the proposed method extracts shape translation and scale invariant features in radon transform domain by statistic...

In this paper, we show that a basic fixed point method used to enclose the greatest in Kleene algebra will allow us compute inner and outer approximations of invariant-based sets for continuous-time nonlinear dynamical systems. Our contribution is provide definitions theorems make link between theory invariant algebra. This has never be done before rigorously can defined as combination positive...

0. Introduction. M. M. Day has shown that an abelian group has only one invariant mean if, and only if, the group is finite [3, Theorem 4, p. 534]. Knowing this we now ask to what extent the invariant means on a given abelian group are alike. In this paper we shall show that they all have the same "measure-theoretic character." An invariant mean on an abelian group G is a normalized, positive, ...