Eventologically multivariate extensions of probability theory’s limit theorems

Eventologically multivariate extensions of probability theory’s limit theorems are proposed. Eventologically multivariate version of limit theorems extends its classical probabilistic interpretation and involves into its structure of dependencies of arbitrary set of events which appears in sequence of independent tests.Event, probability, set of events, Bernoulli univariate test, Bernoulli multivariate test, eventological distribution, multivariate discrete distribution, limit theorem.

Increasing The Flux of Fast Neutron beams used for Radiotherapy Purposes

Neutron therapy is extremely effective method for cancer treatment because of the relatively bigger radiobiological effectiveness RBE compared with accelerated electrons and Gamma-rays effects on tissues. The geometry and material of the collimation system beside the neutron source are crucial elements for patient treatment with more sufficient absorbed dose rates with considering the other parameters. These reasons give valuable role for constructing and designing the assembly of collimator and source-collimator parameters in the most optimized way. Monte Carlo N-Particle Transport Code (MCNP) was used to optimize the geometrical design and materials of the collimator at the neutron therapy center of Tomsk Polytechnic University, which uses 13.6 MeV deuteron beam bombarded with thick beryllium target to produce fast neutrons used in tumor treatment. Carried out simulations indicated the possibilities of enhancing the flux of fast neutrons and the absorbed dose rate by a factor of 3 more. Also the results showed the ability of using narrow irradiation fields with comparable results with wide-aperture collimator designs by modifying the existed one. This leads to minimize the spending time for treatment and delivering more fast neutrons and dose rate to the treated tissues

Dieetide kasutamine lapseea ülekaalulisuse ning rasvumise ravis: süstemaatiline ülevaade

http://www.ester.ee/record=b475057

Model of Reactor for Plasma Treatment of Dispersed Water-organic Nitrate Solutions of Metals

The paper proposes a mathematical model of the reactor, which describes the process of treatment of dispersed water-organic nitrate solutions of metals at air-plasma flow temperatures more than 1500 K. Regularities and a quantitative comparison were made to show the effect of the initial values of the air-plasma flow parameters (temperature, velocity) and the WONS droplet parameters (size, velocity) on the rate of their evaporation in the reactor. Process conditions were established that ensure a high evaporation rate of dispersed solutions in the air- plasma flow

Isovector soft dipole mode in 6Be

By using the 1H(6Li,6Be)n charge-exchange reaction, continuum states in 6Be were populated up to E_t=16 MeV, E_t being the 6Be energy above its three-body decay threshold. In kinematically complete measurements performed by detecting alpha+p+p coincidences, an E_t spectrum of high statistics was obtained, containing approximately ~5x10^6 events. The spectrum provides detailed correlation information about the well-known 0^+ ground state of 6Be at E_t=1.37 MeV and its 2^+ state at E_t=3.05 MeV. Moreover, a broad structure extending from 4 to 16 MeV was observed. It contains negative parity states populated by Delta L=1 angular momentum transfer without other significant contributions. This structure can be interpreted as a novel phenomenon, i.e. the isovector soft dipole mode associated with the 6Li ground state. The population of this mode in the charge-exchange reaction is a dominant phenomenon for this reaction, being responsible for about 60% of the cross section obtained in the measured energy range.Comment: 8 pages, 7 figure

Модели случайных процессов и особенности их использования при оптимальной линейной интерполяции и прогнозировании

Models of correlation functions of random processes are considered. Numerical methods show that efficiency of the optimum linear interpolation and forecasting is defined by higher derivative of random processes. The results of numerical calculations of the interpolation and forecasting efficiency of random processes differentiated finitely many with some correlation function at Wiener filtration are given.Рассмотрены модели корреляционных функций случайных процессов. Численными методами показано, что эффективность оптимальной линейной интерполяции и прогнозирования определяется существующей старшей производной случайного процесса. Приведены результаты численных расчетов эффективности интерполяции и прогнозирования дифференцируемых конечное число раз случайных процессов с используемыми на практике корреляционными функциями при фильтрации Винера-Хопфа

Study of Plasmachemical Synthesis of Fuel Compositions for Dispersion Nuclear Fuel

The paper presents the results of studies of the plasmachemical synthesis of fissile material (uranium dioxide) and the matrix (yttria) for dispersion nuclear fuel. For this purpose, simulated water-organic solutions of zirconyl nitrate, yttrium nitrate and organic component (acetone) have been used. For the first time, the compositions of such solutions and the modes of their processing, which ensure the synthesis of nanosized oxide powders in air plasma, were determined

Eventologically multivariate extensions of probability theory’s limit theorems

Eventologically multivariate extensions of probability theory’s limit theorems are proposed. Eventologically multivariate version of limit theorems extends its classical probabilistic interpretation and involves into its structure of dependencies of arbitrary set of events which appears in sequence of independent tests