Mathematical Model of Functioning of an Insurance Company with Allowance for Advertising Expenses

A mathematical model of the functioning of an insurance company with allowance for advertising expenses is suggested. The basic characteristics of the capital of the company and the advertising efficiency are examined in the case in which the advertising expenses are proportional to the capital.     

A three body approach to study the structural properties of 2-n halo nuclei and the search for Efimov states

The discovery of neutron rich isotopes of the lightest elements on the neutron drip line exhibiting a halo structure has opened up new vistas in research activities. The novel structural features associated with the halo phenomena have been the subject for extensive theoretical and experimental investigations in recent times. In this talk, I propose to present a broad overview of the recent developments in this field, bringing out the striking features which show that a large number oflight nuclei near the neutron drip line are characterized by a clear separation between a ‘normal’ core nucleus and a loosely bound low density veil of neutrons. Specifically, the two neutron halos offer a natural premises, from a theoretical standpoint, to employ three body techniques for studying their detailed structural properties. A considerable part of the talk will be devoted to report and highlight the results on a number of light halo nuclei such as ¹¹Li, ¹¹Be, ¹⁹B and ²²C on which we have been carrying out investigations employing a simple but realistic three body model. These three body systems which have been termed as ‘Borromean’ (i.e while three body systems are bound, the corresponding binary subsystems on the other hand are unbound) are characterized by large spacial extension and very low separation energy of the neutron. They are, therefore, ideally suited for exploring the possibility of the existence of Efimov states in two neutron halo nuclei. We have recently carried out the three body analyses to predict the possibility of the occurrence of such states on which experimental work at various laboratories is underway.     

Doubly Stochastic Stream of Events with Independent Intensities

The main characteristics of a doubly stochastic Poisson stream of events with independent intensities that form a purely discontinuous Markovian process are determined.     

A monopole mass filter with a hyperbolic V-shaped electrode

In this article we compare the classical monopole mass filter of von Zahn and the monopole mass filter with a hyperbolic V-shaped electrode. The experimental results and those of computer simulation for both mass spectrometers are presented. We show that the replacement of a conventional 90 degrees V-shaped electrode by an electrode with a hyperbolic profile substantially improves the peak shape of any given mass, and increases the mass resolution by a factor of 3-4 and the abundance sensitivity by a factor of 100. The potential of high analytical performance combined with electroforming techniques for electrode manufacture indicate future practical uses of such instruments. Copyright 1999 John Wiley & Sons, Ltd.     

Model of dead time when there are several recording instruments present

A model of the formation of dead time when there are several recording instruments present is proposed. Estimators of the rate of the incoming flow of events are constructed. Anzhero-Sudzhensk Division, Tomsk Pedagogical University. Tomsk University. Translated from Izvestiya Vyssikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 50–56, April, 1997.     

Optimal nonlinear filtration of MP streams

The problem is solved of the filtration of a fluctuating Poisson stream of events, the intensity of which is a function of some control process. This is a diffusion Markov random process with known coefficients of drift and diffusion. An equation is obtained determining the law of change of the a posteriori probability density of values of the control process in intervals of time between the appearance of events of the stream and the formulas of recalculation of this probability density at the moments of appearance of the events. The estimate of the intensity of the stream minimizes the mean-square error.Minsk Radiotechnical Institute. V. V. Kuibyshev Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 54–60, December, 1993.     

Shape resonances in slow electron scattering by aromatic molecules. I. Anthraquinone derivatives

A series of anthraquinone (C(14)O(2)H(8)) derivatives has been studied by means of electron capture negative ion mass spectrometry (ECNI-MS), photoelectron spectroscopy (PES), and AM1 quantum chemical calculations. Mean lifetimes of molecular negative ions M(-.) (MNI) have been measured. The mechanism of long-lived MNI formation in the epithermal energy region of incident electrons has been investigated. A simple model of a molecule (a spherical potential well with the repulsive centrifugal term) has been applied for the analysis of the energy dependence of cross sections at the first stage of the electron capture process. It has been shown that a temporary resonance of MNI at the energy approximately 0.5 eV corresponds to a shape resonance with lifetime 1-2.10(-13) s in the f-partial wave (l = 3) of the incident electron. The next resonant state of MNI at the energy approximately 1.7 eV has been associated with the electron excited Feshbach resonance (whose parent state is a triplet npi* transition). In all cases the initial electron state of the MNI relaxes into the ground state by means of a radiationless transition, and the final state of the MNI is a nuclear excited resonance with a lifetime measurable on the mass spectrometry timescale. Copyright 1999 John Wiley & Sons, Ltd.     

Filtration of Stochastic Processes Using First-Order Splines

In the present paper, the feasibility of filtration of a stationary stochastic process using first-order splines is examined when the moments of measurements form a Poisson stream of events with a constant intensity. The mean-square filtration error is determined and an approximate algorithm for estimating values of the process in spline nodes is described.     

IR Emission of Single-Crystal Silicon Excited by Broadband Light

Room-temperature mid-IR emission from single-crystal silicon exposed to broadband (320 to 700 nm) light with power up to 150 m W has been revealed by Fourier transform IR emission spectroscopy. It is shown that broadband optical excitation significantly enhances IR emission in comparison with thermal emission. Spectral lines of lattice vibrations caused by interaction between combinations of longitudinal and transverse optical or acoustic phonons are identified in experimental IR emission spectra.