An advanced combined quantum-dynamic and chaos-geometric method for analysis, modelling, and forecasting of the chaotic dynamics of diatomic molecules in an intense electromagnetic field is presented. The method is based on the use of the non-stationary theory of the Schrödinger equation in the approximation of the density functional and the methods of the theory of chaos and dynamic systems for the analysis of time series of polarization and other characteristics of diatomic molecules in an intense electromagnetic field. In particular, the latter includes the Gottwald-Melbourne test, the correlation integral method , fractal and multifractal formalism, average mutual information, false nearest neighbours, surrogate data algorithms, analysis on the basis of the Lyapunov's exponents, Kolmogorov entropy, nonlinear forecast models based on algorithms of optimized predicted trajectories, B-spline approximations. As an illustration, the advanced data for the dynamical and topological invariants (correlation dimension, embedding dimension, Kaplan-York dimension, Lyapunov's exponents, Kolmogorov entropy, etc.) for the diatomic ZrO molecule in a linearly polarized electromagnetic field are listed.

We present a new mathematical approach to studying deterministic chaos and strange attractors in dynamics of nonlinear processes in atomic and molecular systems in an electromagnetic field. To treat chaotic dynamics of systems it is constructed effective scheme that includes new quantum-dynamic models (based on the finite-difference solution of the Schrödinger equation, optimized operator perturbation theory and realistic model potential for quantum systems) and advanced nonlinear analysis and a chaos theory methods such as power spectrum analysis, the correlation integral algorithm, the fractal method, the Lyapunov’s exponents and Kolmogorov entropy analysis, etc. Availability of multiple resonances with super little widths in spectrum of an atom in external magnetic field is treated and provided by interference phenomena and fluctuations. Dynamics of resonances in spectrum of diatomic molecule in the infrared electromagnetic field is considered and the topological and dynamical invariants are recalculated.

It is presented a new effective method of calculating the energy and spectral parameters of diatomic molecules based on the hybrid theory of the quasi-particle density functional and the theory of Green's functions. As an illustration, the data of the calculation of the vertical ionization potentials and the coupling constants (vibrational structure) of the photoelectron spectra of a number of diatomic molecules, in particular, N2, are received. It is presented a detailed comparison of the received results with the data of standard theories of the Hartree-Fock type, the multi-configuration electron propagator method, and the extended theory based on Koopmans' theorem using multi-configurational self-consistent field wave functions with different sets of basis functions. Iit is shown that the consistent, maximally precise consideration of exchange-correlation effects and reorganization effects within the framework of the combined theory leads to a rather significant improvement in the agreement of theoretical and experimental data both in terms of ionization potentials and photoelectron spectra in general.

We present an optimized version of the hybrid density functional theory and Green’s function approach to computing energy and spectral parameters of the finite multielectron (atomic and molecular) Fermi-systems, including the ionization potentials, excitation energies, spectroscopic factors, molecular photoelectron spectra parameters etc. The quasiparticle Fermi-liquid model is presented and implemented into the Green’s function method and the relativistic many-body perturbation theory. Lagrangian of a multielectron system is defined as a functional of the quasiparticle densities νi. The densities \({v}_{0}\) and \({v}_{1}\) are similar to the Hartree–Fock electron density and kinetical energy density correspondingly, however, the density \({v}_{2}\) has no analog in the standard Kohn–Sham or Hartree (Dirac)-Fock theory and appears as result of a direct accounting for an energy dependence of the quasiparticle mass operator. The optimized one-quasiparticle representation can be constructed by means of the correct treatment of the gauge dependent multielectron contribution of the lowest many-body perturbation theory contributions to the radiation width of atomic (molecular) states. As illustration, the energy and spectroscopic characteristics (oscillator strengths, ionization potentials, spectroscopic factors etc.) for some atomic and diatomic systems are calculated within the presented approach and compared with available alternative theoretical and experimental data. Using the presented approach leads to significant simplification of the Green’s function method computational procedure and increasing an accuracy of theoretical predictions, allowing to obtain a physically reasonable agreement between theory and experiment.

Nonlinear chaotic dynamics of the of the chaotic laser diodes with an additional optical injection is computed within rate equations model, based on the a set of rate equations for the slave laser electric complex amplitude and carrier density. To calculate the system dynamics in a chaotic regime the known chaos theory and non-linear analysis methods such as a correlation integral algorithm, the Lyapunov’s exponents and Kolmogorov entropy analysis are used. There are listed the data of computing dynamical and topological invariants such as the correlation, embedding and Kaplan-Yorke dimensions, Lyapunov’s exponents, Kolmogorov entropy etc. New data on topological and dynamical invariants are computed and firstly presented.

It is presented an advanced approach to computing the energy and spectral parameters of the diatomic molecules, which is based on the hybrid combined density functional theory (DFT) and the Green’s-functions (GF) approach. The Fermi-liquid quasiparticle version of the density functional theory is modified and used. The density of states, which describe the vibrational structure in photoelectron spectra, is defined with the use of combined DFT-GF approach and is well approximated by using only the first order coupling constants in the optimized one-quasiparticle approximation. Using the combined DFT-GF approach to computing the spectroscopic factors of diatomic molecules leads to significant simplification of the calculation procedure and increasing an accuracy of theoretical prediction. As illustration, the results of computing the bond energies in a number of known diatomic molecules are presented and compared with alternative theoretical results, obtained within discrete-variational , muffin-tin orbitals and other methods.

The article deals with the basic principles of the assessment of the quality of a binary classifier using the potential of the ROC analysis and describes a ROC analysis algorithm and the interpretation of the obtained results. The work discusses the methodology for the calculation of the main parameters of the ROC curve, as well as the instructions for the assessment of their statistical significance.

The article deals with the basic principles of the assessment of the quality of a binary classifier using the potential of the ROC analysis and describes a ROC analysis algorithm and the interpretation of the obtained results. The work discusses the methodology for the calculation of the main parameters of the ROC curve, as well as the instructions for the assessment of their statistical significance.

Nonlinear chaotic dynamics of the PbO molecule interacting with a resonant linearly polarized electromagnetic field is computed within the quantum model, based on the numerical solution of the Schrödinger equation and model potential method. To calculate the system dynamics in a chaotic regime the known chaos theory and non-linear analysis methods such as a correlation integral algorithm, the Lyapunov’s exponents and Kolmogorov entropy analysis are used. There are listed the data of computing dynamical and topological invariants such as the correlation, embedding and Kaplan-Yorke dimensions, Lyapunov’s exponents, Kolmogorov entropy etc..

It is presented an advanced approach to computing the spectroscopic factors of the diatomic molecules, which is based on the hybrid combined density functional theory (DFT) and the Green’s-functions (GF) approach. The Fermi-liquid quasiparticle version of the density functional theory is modified and used. The density of states, which describe the vibrational structure in photoelectron spectra, is defined with the use of combined DFT-GF approach and is well approximated by using only the first order coupling constants in the optimized one-quasiparticle approximation. Using the combined DFT-GF approach to computing the spectroscopic factors of diatomic molecules leads to significant simplification of the calculation procedure and increasing an accuracy of theoretical prediction.

The problems in teaching the methods of statistical data analysis in evidencebased medicine place high demands on their application. The rigor of the approach requires extensive knowledge in both the direct professional sphere and in areas of knowledge that go far beyond the limits of medicine. It is not enough to simply type groups for the study or calculate average values and draw some conclusions based on this. It is important to recruit groups and evaluate the statistical parameters of the obtained results correctly. Moreover, it is requisite to know the purpose of the research, formulate the appropriate hypotheses even before the beginning of the experiment [1] or data collection, and not to invent them during the analysis of an array of heterogeneous numbers and names when writing articles. The material of data processing presented at the level of schemes and algorithms in combination with the use of the appropriate programs is greatly simplified and, most importantly, streamlined. In this case, the subject of statistics is perceived not as something abstract, but as a complex component of the principles of evidencebased medicine, without detaching it from specialized training.The involvement of specialists of the core subjects of the university sharing the examples of studies using the statistical processing and planning methods into the training will make it possible to improve orientation in a variety of the existing statistical methods of data processing, as well as to understand the importance and relevance of the use of statistics in medical research.

We present a generalization of the operator perturbation theory method for computing the Stark resonances energies and widths in a case of multielectron atoms. The known advantages of the operator perturbation theory approach are conserved. The operator perturbation theory method allows calculating sufficiently exact complex eigenenergies and resonance widths and especially is destined for investigation of the spectral region of an atom near the new continuum boundary in a strong field. The essence of the method is the inclusion of the well-known "distorted waves approximation" in the frame of the formally exact perturbation theory. The difference between the real atomic and Coulomb field is taken into consideration by using the special model potentials and introducing the quantum defects on a parabolic basis. The results of calculation of the Stark resonance energies and widths for the lithium, sodium, and rubidium atoms are listed and compared with other theoretical and experimental data.

In this paper, we present the results of computational analysis and modeling nonlinear chaotic dynamics of the diatomic molecules interacting with a resonant linearly polarized electromagnetic field. We used a quantum-dynamic model for diatomic molecule in an electromagnetic field, based on the solution of the Schroclinger equation and model potential method, and a chaos theory and nonlinear analysis methods such as a correlation integral algorithm, the Lyapunov's exponents and Kolmogorov entropy analysis, prediction model, etc. We present the results of computing the dynamical and topological invariants (such as the correlation and Kaplan-Yorke dimensions, Lyapunov's exponents, Kolmogorov entropy, etc.) for polarization time series of the ZrO molecule interacting with a linearly polarized electromagnetic field. The chaotic features are realized in the nonlinear dynamics of diatomic molecule in a linearly polarized electromagnetic field that is in a reasonable agreement with the data of modeling and conclusions by Berman, Kolovskii, Zaslaysky, Zganh et al., and Glushkov et al. Nonlinear prediction method is used for the polarization time series. It is shown that even though the simple procedure is used to construct the nonlinear model, the predicted results for the ZrO polarization time series are quite satisfactory.

New computational realization of the modified operator perturbation theory method to computing the Stark resonances energies and widths for the non-hydrogenic (non-H) atomic systems in a DC electric field is presented. The method is based on the operator form of the perturbation theory of the Schrodinger equation for the non-H atomic systems and includes the physically reasonable distorted-waves approximation in the frame of the formally exact quantum-mechanical procedure. The Stark resonances energies and widths in the lithium atom are calculated and compared with results of calculations on the basis of the method of complex eigenvalue Schrodinger equation by Themelis-Nicolaides, the complex absorbing potential method by Sahoo-Ho and the B-spline-based coordinate rotation method approach by Hui-Yan Meng et al.

New generalized approach, including an improved theory of atmospheric circulation in combination with the hydrodynamic model (with correct account of turbulence in atmosphere of the urban area) and the Arakawa-Schubert method of calculation of cloud convection and theory of complex geophysical field is applied to the simulation of heat and air transfer in atmosphere of industrial region. The modelling ventilation data (mesocirculation) parameters over territory of Odessa, as well as the area of the Fukushima power plant after 2011 accident are presented.

We present the optimized version of the hybrid combined density functional theory (DFT) and the Green’s-functions (GF) approach to quantitative treating the diatomic photoelectron spectra. The Fermi-liquid quasiparticle version of the density functional theory is used. The density of states, which describe the vibrational structure in photoelectron spectra, is defined with the use of combined DFT-GF approach and is well approximated by using only the first order coupling constants in the optimized one-quasiparticle approximation. Using the combined DFT-GF approach leads to significant simplification of the calculation and increasing an accuracy of theoretical prediction.

Nonlinear chaotic dynamics of the diatomic molecules interacting with a resonant linearly polarized electromagnetic field is computationally modelled. It is presented an effective quantum-mechanical model for diatomic molecule in an electromagnetic field, based on the Schrödinger equation and model potential method. To detect the elements of a chaotic dynamics, we used the known chaos theory and non-linear analysis methods such as a correlation integral algorithm, the Lyapunov’s exponents and Kolmogorov entropy analysis, prediction model etc. There are listed the data of computing dynamical and topological invariants such as the correlation, embedding and Kaplan-Yorke dimensions, Lyapunov’s exponents, Kolmogorov entropy etc, for polarization time series of the ZrO molecule interacting with a linearly polarized electromagnetic field. The results obtained are in a physically reasonable agreement with the conclusions by Berman, Kolovskii, Zaslavsky, Zganh et al, Glushkov et al.

We present the optimized version of the hybrid combined density functional theory (DFT) and the Green’s-functions (GF) approach to quantitative treating the diatomic photoelectron spectra. The Fermi-liquid quasiparticle version of the density functional theory is used. The density of states, which describe the vibrational structure in photoelectron spectra, is defined with the use of combined DFT-GF approach and is well approximated by using only the first order coupling constants in the optimized one-quasiparticle approximation. Using the combined DFT-GF approach leads to significant simplification of the calculation and increasing an accuracy of theoretical prediction.

Nonlinear chaotic dynamics of the diatomic molecules interacting with a resonant linearly polarized electromagnetic field is computationally modelled. It is presented an effective quantum-mechanical model for diatomic molecule in an electromagnetic field, based on the Schrödinger equation and model potential method. To detect the elements of a chaotic dynamics, we used the known chaos theory and non-linear analysis methods such as a correlation integral algorithm, the Lyapunov’s exponents and Kolmogorov entropy analysis, prediction model etc. There are listed the data of computing dynamical and topological invariants such as the correlation, embedding and Kaplan-Yorke dimensions, Lyapunov’s exponents, Kolmogorov entropy etc, for polarization time series of the ZrO molecule interacting with a linearly polarized electromagnetic field. The results obtained are in a physically reasonable agreement with the conclusions by Berman, Kolovskii, Zaslavsky, Zganh et al, Glushkov et al.

The aim of this review was the study of the influence of electromagnetic radiation of microwave range on biological objects. The analysis of modern materials and methods of protection of biological objects from microwave radiation is carried out. The properties of composite radioabsorbing materials based on the polymeric binding and functional fillers are analyzed. The mechanisms of influence on biological objects by the electromagnetic radiation of microwave range are analyzed. The conclusion is that the composite radioabsorbing materials and electromagnetic screens are an effective solution to the problems of electromagnetic safety and electromagnetic ecology. The most perspective among them are composite materials based on thermoplastic binding.