Discriminant angular

Denoising, 127, 150, 193, 264 Discriminant angular, 186 combined, 183 Euclidian angle, 185 Fisher s, 53... 

Although long-time Debye relaxation proceeds exponentially, short-time deviations are detectable which represent inertial effects (free rotation between collisions) as well as interparticle interaction during collisions. In Debye s limit the spectra have already collapsed and their Lorentzian centre has a width proportional to the rotational diffusion coefficient. In fact this result is model-independent. Only shape analysis of the far wings can discriminate between different models of molecular reorientation and explain the high-frequency pecularities of IR and FIR spectra (like Poley absorption). In the conclusion of Chapter 2 we attract the readers attention to the solution of the inverse problem which is the extraction of the angular momentum correlation function from optical spectra of liquids. 

The individual satelhte transitions cannot be resolved above Tc due to exchange of Ti ions between off-center sites. Discrimination between tetragonal, orthorhombic, and rhombohedral breaking of the cubic symmetry can be obtained from the angular dependence of the second moments M2 of the satelhte background [9]. 

The second method of discrimination uses apertures to intercept some of the scattered flux by virtue of its increased Larmor radius in the magnetic field (e.g. Kauppila et al., 1981 Mizogawa et al, 1985). The extent to which angular discrimination can be provided by this method depends not only on the radius of the aperture, rap, but also on the diameter of the initial beam. Assuming, for simplicity, a beam of particles, each with kinetic energy E, confined to the axis of the system by a uniform magnetic field B, then... 

The effect of chiral discrimination at equilibrium is illustrated in Fig. 6 for the angular velocity acf of both enantiomers and racemic mixture at... 

Prior to each series of measurements, it is necessary to ascertain the absence of any driO in the equipment using external standards called monitors and to check the settings of the spectrometer (angular positioning, energy discrimination, etc.). 

Angular Discriminant For distance-based discriminants, the diagnosis can be posed as a minimization of distance penalties. For angular information, a suitable discriminant can be stated as ... 

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