№ 112(8), October, 2015
Public date: 30.10.2015
Archive of journal: Articles count 151, 381 kb
-
01.00.00 Physical-mathematical sciences
NONPARAMETRIC ESTIMATION OF CHARACTERISTICS OF PROBABILITY DISTRIBUTIONS
01.00.00 Physical-mathematical sciences
Description
The article is devoted to the nonparametric point and interval estimation of the characteristics of the probabilistic distribution (the expectation, median, variance, standard deviation, variation coefficient) of the sample results. Sample values are regarded as the implementation of independent and identically distributed random variables with an arbitrary distribution function having the desired number of moments. Nonparametric analysis procedures are compared with the parametric procedures, based on the assumption that the sample values have a normal distribution. Point estimators are constructed in the obvious way - using sample analogs of the theoretical characteristics. Interval estimators are based on asymptotic normality of sample moments and functions from them. Nonparametric asymptotic confidence intervals are obtained through the use of special output technology of the asymptotic relations of Applied Statistics. In the first step this technology uses the multidimensional central limit theorem, applied to the sums of vectors whose coordinates are the degrees of initial random variables. The second step is the conversion limit multivariate normal vector to obtain the interest of researcher vector. At the same considerations we have used linearization and discarded infinitesimal quantities. The third step - a rigorous justification of the results on the asymptotic standard for mathematical and statistical reasoning level. It is usually necessary to use the necessary and sufficient conditions for the inheritance of convergence. This article contains 10 numerical examples. Initial data - information about an operating time of 50 cutting tools to the limit state. Using the methods developed on the assumption of normal distribution, it can lead to noticeably distorted conclusions in a situation where the normality hypothesis failed. Practical recommendations are: for the analysis of real data we should use nonparametric confidence limits
-
01.00.00 Physical-mathematical sciences
Description
In various applications it is necessary to analyze some expert orderings, ie clustered rankings of examination objects. These areas include technical studies, ecology, management, economics, sociology, forecasting, etc. The objects may make samples of the products, technologies, mathematical models, projects, job applicants and others. We obtain clustered rankings which can be both with the help of experts and objective way, for example, by comparing the mathematical models with experimental data using a particular quality criterion. The method described in this article was developed in connection with the problems of chemical safety and environmental security of the biosphere. We propose a new method for constructing a clustered ranking which can be average (in the sense, discussed in this work) for all clustered rankings under our consideration. Then the contradictions between the individual initial rankings are contained within clusters average (coordinated) ranking. As a result, ordered clusters reflects the general opinion of the experts, more precisely, the total that is contained simultaneously in all the original rankings. Newly built clustered ranking is often called the matching (coordinated) ranking with respect to the original clustered rankings. The clusters are enclosed objects about which some of the initial rankings are contradictory. For these objects is necessary to conduct the new studies. These studies can be formal mathematics (calculation of the Kemeny median, orderings by means of the averages and medians of ranks, etc.) or these studies require involvement of new information from the relevant application area, it may be necessary conduct additional scientific research. In this article we introduce the necessary concepts and we formulate the new algorithm of construct the coordinated ranking for some cluster rankings in general terms, and its properties are discussed
-
01.00.00 Physical-mathematical sciences
Description
The article discusses the use of automatic systemic-cognitive analysis (ASC-analysis), its mathematical model is a system of information theory and software tools – an intellectual system called "Eidos" for the solution of some problems of ampelography: 1) digitization of scanned images of the leaves and creation of their mathematical models; 2) the formation of mathematical models of specific leaves using the spreading of information theory; 3) the formation of models of generalized images of leaves of various sorts; 4) comparing an image of a specific leaf with a generalized image of the leaf of different varieties and finding a quantitative degree of similarity and differences between them, i.e. the identification of the varieties on the leaf; 5) quantification of the similarities and differences of the varieties, i.e. cluster-constructive analysis of generalized images of the leaves of different varieties. We propose a new approach to digitizing images of leaves, based on using the polar coordinate system, the center of gravity of the image and its external contour. Before scanning images we may use transformation to standardize the position of the still images, their sizes and rotation angle. Therefore, the results of digitization and ASC-analysis of the images might be invariant (independent) relatively to their position, size and rotation. The specific shape of the contour of the leaf is regarded as noise information on the variety, including information about the true shape of the leaf of the class (clean signal) and noise, which distort this true form, originating in a random environment. Software tools of ASC-analysis – intellectual "Eidos" system ensures noise reduction and the selection of the signal about the true shape of the leaf of each variety on the basis of a number of noisy concrete examples of the leaves of this variety. This creates a one way form of a leaf of each class, free from their concrete implementations, i.e., the "Eidos" of these images (in the sense of Plato) is a prototype or archetype (in the Jungian sense) of the images
-
01.00.00 Physical-mathematical sciences
Description
The article presents a project of the capacitor in the Yang-Mills theory. Model capacitor represents the equipotential surfaces separated by a space. To describe the mechanism of condensation chromodynamics field used numerical models developed based on an average of the Yang-Mills theory. In the present study, we used eight-scalar component model that in the linear case is divided into two groups containing three or five fields respectively. In contrast to classical electrodynamics, a static model of the Yang-Mills is not divided into independent equations because of the nonlinearity of the model itself. However, in the case of a linear theory separation is possible. It is shown that in this particular case, the Yang-Mills theory is reduced to Poisson theory, which describes the electrostatic and magnetostatic phenomena. In the present work it is shown that in a certain region of the parameters of the capacitor of the Yang-Mills theory on the functional properties of the charge accumulation and retention of the field is similar to the capacitor of the electrostatic field or a magnet in magnetostatics. This means that in nature there are two types of charges, which are sources of macroscopic Yang-Mills field, which are similar to the properties of electric and magnetic charges in the Poisson theory. It is shown that in Yang-Mills only one type of charge may be associated with the distribution density of the substance, while another type of charge depends on the charge distribution of the first type. This allows us to provide an explanation for the lack of symmetry between electric and magnetic charges
-
SYNTHESIS OF SUBSTITUTED PYRIDINE- 3-SULFONYL ISOCYANATES AND PYRIDINE- 3-SULFONYL UREAS
Description
Acylation of amides substituted with pyridine-3- sulfonic acids oxalil-chlorides and phosgene was studied. New pyridil-3-sulfonil isocyanates were synthesized. The conditions for this synthesis were optimized by taking into account the detailed understanding of this acylation. The synthesized pyridine-3-sulfonyl isozyanates were converted to pyridine-3-sulfonyl ureas. Biological activity of the new compounds was studied and the substances with high herbicidal effect were found
-
HISTORY OF THE DONETS RIDGE PETROPHYTIC VEGETATION STUDY (A REVIEW ARTICLE)
Description
The article reveals historical aspect of the Donets Ridge petrophytic vegetation study. The stages of formation of concepts and terms in the typology of vegetation of the rocky outcrops of the steppe zone
-
DESCRIPTION OF CERTAIN ASPECTS OF THE PRODUCTION POTENTIAL OF SOILS TAMAN PENINSULA
Description
The work presents the results of the scientific research in the Taman Peninsula soil properties. We carry out the historic review of the studies in the Taman Peninsula soils, and its geological structure. We present morphological characteristics of the soil profile for the southern, calcareous, ultra heavy loam chernozem developed from the loessial loams and forming genetic horizons. The studies of the humus content in the soils show the associations between its percentage and the type and intensity of the agricultural use. Studies of the soils structure and composition demonstrate marked aggravation of the soils physical properties caused by grape growing. The best results of the particle size analysis have been achieved for the woodland soils. In woodlands, after their establishment, the soils under the grass and crown layers develop free of the anthropogenic impact. We register self-supporting growth of organic matter and natural processes of soil fertility recovery; therefore, such soils are characterized with a greater content of organic matter as compared to the soils under grape plantings cultivated in the monoculture regime. Reduced soil organic matter (humus) content in vineyards results from the disturbed biological interchange of the matter and increased anthropogenic impact causing erosion processes
-
THE VARIABILITY OF TAXUS BACCATA CYPRESS CONES AT POPULATION OF DAGESTAN
Description
In the populations of Taxus baccata of Foothills and Inside Mountain Dagestan, we have studied intra- and interpopulation variability of morphological characters of yew berry. The article has a contribution of interpopulation differences in the feature of "diameter of funnel" with the highest rates in Buynaksk population and dependency of the form of yew berry from this feature. According to the results of discriminant analysis, we have revealed a distinction in populations on this basis, although the classification matrix has not given 100% of the forecast for any of them. It is found, that the seeds of Khunzah population have relatively large dimensions and yew berry has more flattened shape compared to piedmont populations, while the differences in populations based on seeds are more pronounced than based on yew berry at low volatility of the characteristics of the first indicators. It is shown, that the characteristics of seeds and yew berry of Khunzakh population indicate the presence of certain genetic differences between populations inside mountain and foothills, and that the higher dissemination activity of first population is aimed at self-preservation, due to the less favorable conditions for the species. It is expected that the low variability of the average values for yew berries of cypress characteristics indicates the stability of the soil and climatic conditions of its habitats
-
Description
The article is concerned with the features of Lavandula’s angustifolia vegetative propagation with methods of the propagation by herbaceous cuttings and of the annual woody cutting. The dependence of Lavandula’s varieties Sineva and Vdala rooting of cutting and the cutting grafting period and the age of the mother plantation was established. In the fixed years, the rooting rate of cuttings is 58-67%. The maximum annual hardwood cuttings rooting was observed from the fifth to the seventh year of the cuttings’ workpiece (75-77%). The highest rooting rate of green cuttings belonging to Vdala sort (80%) is observed in the 3-4th years of use the mother plantation. The best result for rooting rate by the annual woody cutting showed Lavandula’s mother plantation, which belongs to Vdala sort and was being cultivated from 3rd to 6th year. The rooting of Lavandula’s angustifolia cuttings depends on weather conditions; during drought years the rooting of green cuttings is considerably reduced. During Lavandula’s rooting cuttings it is necessary to take into account the biological characteristics of each variety
-
Description
The study was performed to genotype some commercial wine yeast strains using the assay of Interdelta genomic sequences. Experimental parameters of PCR to identify were optimized and optimal simplified method of DNA extraction from dried preparations of yeast cultures was define. Proven method showed a high level of resolution and can be used for the analysis of genetic diversity wine yeast in combination with SSR-markers
pdf 352.019kb
doc 352.019kb