A new electro-optically modulated optical solid-state (MOSS) interferometer has been constructed for measurement of quantities related to the low-order spectral moments of line emission from optically thin radiant media such as plasmas. When Doppler broadening is dominant, the spectral moments give the Radon transform of corresponding moments of the velocity distribution function of the radiati...

The effective complex conductivity σeff of a two-component material can be conveniently expressed as an integral transformation of a spectral function. The spectral function depends only on the geometry of the material, and can be used to calculate σeff for any particular choice of component conductivities. This is a very useful feature if the component conductivities can be varied (by changing...

New Zernike velocity moments have been developed to describe an object, not only by its shape , but also by its motion throughout an image sequence. These are an extended form of the orthogonal Zernike moment set and include velocity information introduced via centralised moments. Initial analysis shows that they perform well when applied to analysing gait sequences resulting in a good recognit...

This chapter is in three parts. The first gives the fundamental equations of level populations and radiative transfer which govern spectral line emission and absorption. Lines in the cm-wave band have similarities which allow us to simplify the equations. The further simplification of a two level system (a good approximation for HI) gives the familiar formulae for the 21-cm line. The second par...

A combination of spectral and moments analysis of the continuous X-ray flux data is used to show consistency of statistical properties of the powerful solar flares with 2D BTW prototype model of self-organized criticality.

This is primarily an essay on the Serre spectral sequence for the homology/cohomology of a fibration. But we view the Serre spectral sequence as a special case of the spectral sequence of a filtered space or filtered chain complex, which has many other important cases: the spectral sequence(s) of a double complex (Grothendieck’s composite functor spectral sequence in homological algebra is obta...

Higher order and spectral methods have been used with success for elliptic and parabolic initial and boundary value problems with smooth solutions. On the other hand, higher order methods have been applied to hyperbolic problems with less success, as higher order approximations of discontinuous solutions suffer from the Gibbs phenomenon. We extend past work and show that spectral methods yield ...

In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Li...

In this paper, we discuss the Frenkel excitons in disordered molecular crystals. Most of our results can be generalized to cover electrons and phonons in other disordered systems as well. In particular, the relationship among the exact Green's function, the CPA (coherent potential approximation) Green's function, and the method of moments is discussed. It is emphasized that, despite its complic...

We propose to use the Gamma filter as a continuous time spectral feature extractor for the preprocessing of speech signals. The Gamma filter is a simple analog structure which can be implemented as a cascade of identical first order lowpass filters. The filter generates the Poisson moments of the input signal at its taps. These moments carry spectral information about the recent history of the ...