Simultaneous a posteriori detection and identification of a predetermined number of quasi-periodic fragments in a sequence based on their segments

An a posteriori (off-line) approach to the simultaneous detection and identification of quasi-periodic fragments in a numerical sequence using their segments is analyzed. The solution of the problem is proposed for the case when the number of the desired fragments is known. The following assumptions are made. (i) Each desired fragment of the numerical sequence coincides with an element of the given alphabet of the reference sequences that have equal lengths (i.e., number of elements). (ii) Only a segment (part) of the desired fragment can be processed; unprocessable parts of the fragment are interpreted as lost data. (iii) The numbers of the elements in the sequence that correspond to the beginning of the desired fragment and the boundaries of the segment in the fragment represent deterministic (rather than random) quantities; the boundaries of the segments are different for different fragments; and the desired fragments are quasi-periodic in the sequence. (iv) Gaussian uncorrelated noise impedes the observation of the sequence that contains quasi-periodic segments of the reference sequences. It is demonstrated that the essence of the problem under study lies in the verification of a set of hypotheses on the mean value of a random Gaussian vector (the power of this set exponentially increases with an increase in the dimension of the vector—the sequence length). An effective a posteriori algorithm that provides for maximum-likelihood detection and identification is validated. The estimates of the time and space complexity are related to the parameters of the problem. The results of the numerical simulation are presented. This work was supported by the Russian Foundation for Basic Research, project no. 03-01-00036 and 06-01-00058. Aleksandr V. Kel’manov. Born April 25, 1952. Graduated from Izhevsk State Technical University in 1974. Received candidate’s degree in 1980 and doctoral degree in 1994. Leading researcher of the Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences. Scientific interests: mathematical methods for pattern recognition; discrete optimization; effective algorithms for the analysis and recognition of random sequences; algorithms for the solution of applied problems; and methods and algorithms for the processing, recognition, and synthesis of voice signals. Author of more than 120 papers. Sergei A. Khamidullin. Born March 28, 1952. Graduated from Novosibirsk State University in 1974. Received candidate’s degree in 1997. Senior researcher of the Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences. Scientific interests: mathematical methods for pattern recognition; discrete optimization; effective algorithms for the analysis and recognition of random sequences; algorithms for the solution of applied problems; and methods and algorithms for the processing, recognition, and synthesis of voice signals. Author of more than 80 papers.     

Linear interpolation in a fuzzy information space

An approach to solving a linear interpolation problem in a fuzzy information space is proposed. Two different schemes of interpolation are outlined: a heuristic one, based on the geometrical interpretation of operations, and an optimization one, based on the expansion principle. The results obtained allow performing fuzzy linear prediction. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 55–68, March–April 2006.     

Operation of an experimental facility for fabrication of fuel elements and fuel assemblies of the bor-60 containing vibrocompacted fuel

Translated from Atomnaya Énergiya, Vol. 67, No. 5, pp. 320–323, November, 1989.     

Distribution of one of the ascitic fluid antigens of ovarian cancer patients in malignant tumors of the stomach and intestines

The indirect immunofluorescent technique was used to study the distribution of the ascitic fluid antigen (AgD) on histological sections from surgical specimens of gastric and colon tumours from proximal to distal lines of resection. AgD was found in gastric tumours exceptionally in the tumour area and in colon cancer--both in the tumour stroma and in surrounding histologically normal mucosa.     

Prediction of electromagnetic radiation of a multilayer board

The moment method technique was used to determine the radiation from a multilayer board in the frequency range 30-200 MHz. A portion of clock trace, board ground plane and reflecting plane were modelled using several straight round wires which formed a radiating structure. The equivalent wire radius was obtained from the cross-section of the square traces. The clock pulse information was entered into the computer program in which the frequency spectrum was determined. The amplitude of each spectrum represented the peak voltage source fed into the radiating structure. Comparisons between the measured and calculated data indicated that the moment method technique can provide an excellent prediction, provided that the input impedances of the chip are known at every frequency.     

A method of investigating the kinetics of high-temperature ductility variation of porous solids during sintering under pressure

Conclusions A method is proposed making it possible to study the high-temperature kinetics of the variation of the coefficients of shear ductility of a porous solid and its material during sintering under pressure. An investigation was carried out into the variation of the ductility of copper powder compacts in the temperature range 700–950°C. Experimental data are compared with results obtained on the basis of the theory of diffusion-viscous flow and a general rheological theory of sintering. It has been established that in the initial stage of sintering at 950°C the coefficient of shear ductility of copper increases linearly with time. Under conditions of diffusion-viscous flow of a polycrystalline material, this is due to diffusional grain growth according to a parabolic law. It is shown that experimental values of shear ductility of copper are smaller than values obtained on the basis of the rheological theory of sintering. Values approximating most closely to experimental data have been obtained with a model of an ideal porous solid.Translated from Poroshkovaya Metallurgiya, No. 11(299), pp. 11–17, November, 1987.     

Application of Physical Methods for Reducing Plutonium Hexafluoride

The exploding-wire method, the photochemical method of irradiation with a light flux from a high-pressure mercury lamp, a high-intensity spark discharge, and irradiation by a CO₂ laser are used to reduce plutonium hexafluoride and to separate it from uranium hexafluoride. The dependence of the reduction of plutonium hexafluoride on the wire material, the mass of the reduced product, and the amount of input energy is investigated.It is shown that the methods presented for reducing plutonium hexafluoride and separating it from uranium hexafluoride can be used under static and dynamic conditions for preparative purposes and on a large scale.     

Synthesis, Structure, and Physicochemical Characteristics of Rutherfordite and Tetrasodium Uranyl Tricarbonate

The optimum procedures for synthesis of UO₂CO₃ and Na₄[UO₂(CO₃)₃] were developed. The structures of these compounds and their thermal decomposition were studied by X-ray diffraction, precision IR spectroscopy, and thermography. The standard enthalpy of formation of crystalline Na₄[UO₂(CO₃)₃] at 298.16 K was determined to be -4010.0±8.0 kJ mol^{- 1}.