Fixed-t subtracted dispersion relations are presented for Compton scattering off the nucleon at energies E γ ≤ 500 MeV, as a formalism to extract the nucleon polariz-abilities with a minimum of model dependence. The scalar polarizability difference α − β and the backward spin polarizability γ π enter directly as fit parameters in this formalism. Compton scattering off the nucleon is determined ...

Following James’ approach, we shall define the Banach space J(e) for each vector e = (e1, e2, ..., ed) ∈ R d with e1 6= 0. The construction immediately implies that J(1) coincides with the Hilbert space i2 and that J(1;−1) coincides with the celebrated quasireflexive James space J . The results of this paper show that, up to an isomorphism, there are only the following two possibilities: (i) ei...

A derivation of hydrodynamics from the Boltzmann kinetic equation is the classical problem of physical kinetics. The Chapman-Enskog (CE) method [1] gives, in principle, a possibility to compute a solution as a formal series in powers of Knudsen number e (where e is a ratio between the mean free path of a particle and the scale of variations of hydrodynamic quantities, density, mean flux, and te...

The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we address their expressivity considering the alternative axiomatizations. 1 Overview of the work This work tries to understand (again) constructive real numbers. Our main contribution is a new system of axioms, synthesized with the a...

Methods for classification of multivariate data which are based on the nearest neighbors approach solve the problem of classification by an estimate of the probability density at point x of the data space by ratio i/V. i is the number points of a given class of the training set in a suitable ball of volume V with center at point x. The method proposed is based on notion of distribution mapping ...

The toxicity and efficacy of more than 30 anticancer agents present very high variations, depending on the dosing time. Therefore, the biologists studying the circadian rhythm require a very precise method for estimating the periodic component (PC) vector of chronobiological signals. Moreover, in recent developments, not only the dominant period or the PC vector present a crucial interest but a...

In the last decade the gas-phase thermography becomes the method of choice for studying the chemical behavior of super-heavy elements in nuclear-chemistry. In such experiments, however, the whole information about the adsorption process of a chemical element is reduced to a single number – the adsorption temperature. The adsorption on the other hand is a very complex process, which requires an ...

We study n+ 3-point correlation functions of exponential fields in Liouville field theory with n degenerate and 3 arbitrary fields. An analytical expression for these correlation functions is derived in terms of Coulomb integrals. The application of these results to the minimal Liouville gravity is considered. 1 Liouville field theory Last years since the seminal paper of A. Polyakov [1] Liouvi...