INVESTIGATION OF THE DEPENDENCE OF EARTHQUAKE FOCUS COORDINATE DETERMINATION ERRORS ON CALCULATION METHODS (SPHERES AND HYPERBOLOIDS)

Abstract. Objectives This work is a continuation of a series of articles devoted to an analysis of the effect of the utilised second-order surface types on the accuracy of determining earthquake epicentre and hypocentre coordinates. Methods  In order to find the density of error probability distribution during the determination of earthquake hypocentres, approaches using spheres, hyperboloids, as well as combined spheres and hyperboloids, are used.The hyperboloid-based methods used for determining hypocentre coordinates have fewer errors as compared to the sphere-based method. This is explained by the fact that when determining the travel times of seismic waves, it is assumed that the error increase is the same for the difference in the seismic wave arrival times to two seismic sensors (for methods using hyperboloid), and for the difference in the arrival times of the two seismic waves to the one seismic sensor (for methods using spheres). Results  The expression for determining the earthquake focus coordinates by the hyperboloid method, as well as the density of error probability distribution during the earthquake hypocentre determination, is obtained for calculations using the sphere method, the hyperboloid method, as well as the combined sphere and hyperboloid method. A graph for the error distribution when determining the earthquake hypocentre is obtained for different locations of seismic sensors and for various error values concerning differences in the travel times of seismic waves. Conclusion  The obtained dependencies have the form of an error distribution close to the Cauchy distribution. A wavelet in the zero regions for all distributions was obtained as a result of calculations of the earthquake focus coordinates in the absence of errors in the determination of the time difference. The combined method of the hyperboloid and the sphere has a distribution form close to the hyperboloid method, while the distribution curve in the region close to zero is similar to the sphere method

Analysis of the impact of harmonic interference circuit Costas

The analysis of influence of harmonic interference on the phase error in the Costas circuit is carried out. Differential equations of the circuit are obtained. Are obtained in the zero and first approximation the equations of the phase error for the Costas circuit. The simulation in MatLab environment of phase error introduced by the Costas circuit in the first approximation and the graphs of this error is carried out. On the basis of mathematical model, by the phase error counts were obtained graphs of probability density functions of the signal errors introduced by the model. A simulation model of the Costas circuit in the Simulink environment is given. In the simulation model, by the phase error counts in MatLab, were obtained graphs of probability density functions of the signal error due to the simulation model. The comparison of the obtained results of the Costas circuit analysis obtained by mathematical modeling of the phase error equation in the first approximation with simulation results in Simulink environment shows that the results of mathematical modeling rather accurately coincide with the simulation results. On the basis of simulation were obtained the graphs of the average time before mistracking for various values of the interference to signal rati

Remote support of the laboratory practical work on the differential equations in pedagogical higher school institution

In article possibilities of application of remote forms of education at the rate «The differential equations» with use of a computer mathematical Maple package are considered

Polynucleotide-protein interactions in the translation system. Identification of proteins interacting with tRNA in the A- and P-sites of E. coli ribosomes.

Ultraviolet irradiation (lambda = 254 nm) of ternary complexes of E. coli 70 S ribosomes with poly(U) and either Phe-tRNAPhe (in the A-site) or NAcPhe-tRNAPhe (in the P-site) effectively induces covalent linking of tRNA with a limited number of ribosomal proteins. The data obtained indicate that in both sites tRNA is in contact with proteins of both 30 S and 50 S subunits (S5, S7, S9, S10, L2, L6 and L16 proteins in the A-site and S7, S9, S11, L2, L4, L7/L12 and L27 proteins in the P-site). Similar sets of proteins are in contact with total aminoacyl-tRNA and N-acetylaminoacyl-tRNA. However, here no contacts of tRNA in the P-site with the S7 and L25/S17 proteins were revealed, whereas in the A-site total aminoacyl-tRNA contacts L7/L12. Proteins S9, L2 and, probably, S7 and L7/L12 are common to both sites

Safety profile of successful treatment of hormonal disorders in gynecology

Menstrual dysfunction and preparing for pregnancy require safe prevention and careful support of the reproductive function. Cyclic vitamin therapy meets the requirements, while Time-factor, the vitamin and mineral supplement, is characterized by high compliance and convenience of use. For a pre- or postmenopausal patient, Estrovel with phytoestrogens combines high safety profile and the possibility for self-selection with adequate tolerance and the possibility for prolonged use

Epidemiological Diagnostics - Basis of Risk-Oriented Technologies for the Prevention Healthcare-Associated Infections

The article discusses the methodological foundations of epidemiological diagnostics - the basis for risk-oriented approach to the prevention of healthcare-associated infections (HAI). It outlines goals, objectives, basic terms and sequence of steps in the organization and conduct of epidemiological diagnostics. The importance of epidemiological surveillance of HAI is underlined. The article describes the main principles of descriptive and analytical studies in the structure of epidemiological diagnostics of HAI