This paper introduces the concept of eigen-dynamics and proposes an eigen dynamics analysis (EDA) method to learn the dynamics of natural hand motion from labelled sets of motion captured with a data glove. The result is parameterized with a high-order stochastic linear dynamic system (LDS) consisting of five lower-order LDS. Each corresponding to one eigen-dynamics. Based on the EDA model, we ...

As is widely-known, the eigen-functions of Landau problem in symmetric gauge are specified by two quantum numbers. The first familiar number $n$, whereas second magnetic $m$, which eigen-value canonical orbital angular momentum (OAM) operator electron. eigen-energies system depend only on and $m$ does not correspond to any direct observables. This seems natural since OAM generally believed be a...

With the rapid development of economy and society, in face an increasingly large expressway consumer group, expansion upgrading service area to marketization industrialization is only way for sustainable area. The should be adapted local conditions when expanding functions, expanded a targeted manner according characteristics each

People employ the function-on-function regression to model relationship between two stochastic processes. Fitting this model, widely used strategies include functional partial least squares algorithms which typically require iterative eigen-decomposition. Here we introduce a route of based upon Krylov subspace. Our can be expressed in forms equivalent each other exact arithmetic: One is non-ite...