We introduce the concept adaptive decomposition of signals into basic building blocks, of which each of non-negative analytic instantaneous frequency, called monocomponents. We propose certain methods based on p-starlike functions and Fourier expansions for such decomposition. We justify the terminology mono-component used in signal analysis.

Abstract Molecular or condensed matter systems are often well approximated by hybrid quantum-classical models: the electrons retain their quantum character, whereas ions considered to be classical particles. We discuss various alternative approaches for computation of equilibrium (canonical) ensemble averages observables these through use molecular dynamics (MD)-i.e. performing in presence a th...

The theory of constructing instantaneous equilibrium (ieq) transition under arbitrary time-dependent temperature and potential variation for a Brownian particle is developed. It shown that it essential to consider the underdamped dynamics temperature-changing transitions. ieq maintained by auxiliary position momentum potential, which can be calculated given protocols. Explicit analytic results ...

estimation of the magnitude and frequency of maximum instantaneous discharges and hydrographs are used for a variety of purposes, such as the design of bridges, culverts, flood-control structures; and the management and regulation of floodplains. fuller (1914), developed a flood-frequency formula based on analysis of flood peaks in hundred of streams to provide simple methods of estimating maxi...