№ 115(1), January, 2016
Public date: 27.01.2016
Archive of journal: Articles count 86, 182 kb
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01.00.00 Physical-mathematical sciences
NON-PARAMETRIC CYCLES ESTIMATORS
01.00.00 Physical-mathematical sciences
Description
In many applications, we study the time series (or a random process), which is the sum of the periodic deterministic function of time and random errors that distort the periodic signal. It is required to estimate the length of the period and the periodic component. It does not assume that the periodic function is included in any parameter family of functions, such as finite sums of sines and cosines. It is obvious that the assumption of occurrence of a periodic function in parametric family does not meet the characteristics of the real world, ie, is conditional, internal mathematical (look for the keys under the lamp because there is a light, not in the bush, where lost, because there are dark). For similar reasons, it is impossible to assume that the distribution function of the random errors is included in any parameter family of distributions. In accordance with the new paradigm of mathematical statistics in this article we studied the problem of nonparametric estimation (minimum) length of the period and the periodic component of the signal. On the basis of natural variation and scope of indicators is suggested a new class of nonparametric estimators of the length of the period and the periodic component in the time series. Based on the general results of statistics of objects of non-numeric nature we proved the consistency of these estimates. From the practical point of view it is necessary to minimize the numerical (one parameter - ability length of period of time) one or more of the 66 functionals, described in the article
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STATE AND PROSPECTS OF APPLIED AND THEORETICAL STATISTICS
01.00.00 Physical-mathematical sciences
Description
The general scheme of modern statistical science is just like this. Mathematical Statistics is a part of mathematics that studies the statistical structure (it itself does not give recipes analysis of statistical data, however, it is developing methods that are useful for use in theoretical statistics). Theoretical Statistics - the science dedicated to the models and methods of analysis of concrete statistical data. Applied Statistics (in the narrow sense) is devoted to the statistical techniques of data collection and processing (it includes the methodology of statistical methods, the organization of sample surveys, the development of statistical techniques, the creation and use of statistical software). Applications of statistical methods in concrete fields (in economics and management - Econometrics, in biology - Biometrics, in chemistry - Chemometrics, in technical research - Technometric, in geology, demography, sociology, medicine, history, etc.). Often positions 2 and 3 together are called Applied Statistics. Sometimes position 1 is called Theoretical Statistics. These terminological differences are related to the fact that the above-described development of the considered scientific and applied field not once, not completely and not always adequately reflected in the minds of experts. Meanwhile, there are still textbooks of appropriate level of representation of the mid-twentieth century. The article analyzes the post-war development of the national statistics. We have identified five "growth points": nonparametrics, robustness, bootstrap, statistics of interval data, and statistics of non-numeric data. We have discussed content, development and the basic ideas of statistics of nonnumeric data. We have given a number of unresolved problems of theoretical and applied statistics
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STATISTICAL METHODS IN HISTORY
01.00.00 Physical-mathematical sciences
Description
We have given a critical analysis of statistical models and methods for processing text information in historical records to establish the times when there were certain events, ie, to build science-based chronology. There are three main kinds of sources of knowledge of ancient history: ancient texts, the remains of material culture and traditions. The specific date of the extracted by archaeologists objects in most cases can not be found. The group of Academician A.T. Fomenko has developed and applied new statistical methods for analysis of historical texts (Chronicle), based on the intensive use of computer technology. Two major scientific results were: the majority of historical records that we know now, are duplicated (in particular, chronicles, describing the so-called "Ancient Rome" and "Middle Ages", talking about the same events); the known historical chronicles tell us about real events, separated from the present time for not more than 1000 years. It was found that chronicles describing the history of "ancient times" and "Middle Ages" and the chronicle of Chinese history and the history of various European countries do not talk about different, but about the same events. We have the attempt of a new dating of historical events and restoring the true history of human society based on new data. From the standpoint of statistical methods of historical records and images of their fragments – they are special cases of non-numeric objects of nature. Therefore, developed by the group of A.T. Fomenko computer-statistical methods are the part of non-numerical statistics. We have considered some methods of statistical analysis of chronicles applied by the group of A.T. Fomenko: correlation method of maximums; dynasties method; the method of attenuation frequency; questionnaire method codes. New chronology allows us to understand much of the battle of ideas in modern science and mass consciousness. It becomes clear the root cause of cautious attitude of the West towards Russia
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INTERVAL SPANNING TREE PROBLEM ON A TOPOLOGICAL CRITERION
01.00.00 Physical-mathematical sciences
Description
The article presents the problem of spanning trees with topological criteria and interval scales. We have introduced relationship preferences and incomparability to find the complete set of alternatives in the case of interval scales. The base for mathematical calculations is interval mathematics
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TO THE QUESTION OF THE SPEED OF WAVE PROPAGATION IN ELECTROMAGNETIC ENVIRONMENT
01.00.00 Physical-mathematical sciences
Description
This question is about the speed of wave propagation in electromagnetic environment. Electromagnetic environment (field) is the space that fills the whole Universe, occupied by the electromagnetic particles-photons. At the heart of the special relativity theory, the constancy of the speed of light in vacuum is affirmed. According to modern concepts, the speed of light in vacuum is the maximum speed of the particle motion and propagation of interactions. However, light is the narrow range of electromagnetic radiation – (4÷8)·1014 Hz, therefore experimentally measured speed of light is referred to this frequency range. The fact that this speed of electromagnetic waves can theoretically be non permanent – physicists have pondered for a long time and this question is periodically excited in the scientific literature. The author of this article also had an impression that the speed of light, in which he understands distribution speed of waves of a wide range of frequencies in the electromagnetic environment, is not a constant. The article attempts to prove it. Many photons of different frequencies move simultaneously in different directions in a photonic electromagnetic field in environment. They are involved in the formation of a wave of compression – decompression in this field under the influence of the antenna radiated photons. It is approved that the speed of photons of different frequencies can change within a wide range from 1,285·103 m/s (ν = 1024 Hz) to 1,285·1012 m/s (ν = 106 Hz) and, therefore, the speed of wave propagation in the electromagnetic environments that are filled by photons of the same frequency or a narrow frequency range can change widely from 8,58·102 m/s to 8,58·1011 m/s and be significantly different from the experimentally discovered speed of light. Interplanetary space in different parts of the Universe can be represented by different spectra of photons and therefore they will have different speed of propagation of electromagnetic waves
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THEORY OF ELECTROMAGNETIC DRIVE WITH ELEMENTARY PARTICLES CURRENT AND VACUUM POLARIZATION
01.00.00 Physical-mathematical sciences
Description
The article discusses a model of rocket motor of electromagnetic type, consisting of a source of electromagnetic radio frequency oscillations and the conical cavity, in which electromagnetic waves are excited. We have created a multi-dimensional transient numerical model describing the process of establishing electromagnetic oscillations in the resonator, taking into account the finite conductivity of the walls. Separately, the standing waves in the cavity with conducting walls have been simulated. It is shown that the oscillations mode in the conducting resonator different from that in an ideal resonator, both in a case of steady and unsteady waves. We have built a dynamic model taking into account the thermal conductivity and electrical conductivity of the walls, waves and particles emission and vacuum polarization. We have also developed a dynamic model enables to optimize a thrust force on a considerable number of parameters without the involvement of the hypotheses about the physics of the phenomenon. We run the optimization of the operating parameters of the device, namely by the excitation frequency, the frequency of the modulating signal, the magnitude of heat losses of electromagnetic energy by thermal radiation in the IR spectrum, the parameters of forced heat transfer and the temperature dependence of the resistance of the material of the cavity walls. It is found that the pulse modulation greatly improves the efficiency of conversion of electromagnetic energy into thrust. The mechanism of formation of traction, adjusting the metrics of space-time, the current contribution of elementary particles, the Yang-Mills and electromagnetic fields is proposed. It is shown that the contribution of the elementary particles in the thrust force is proportional to the electrical conductivity of the system multiplied by Abraham force
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Description
The article deals with the problem of oil-contaminated waste utilization. It has suggested the ways of technological advancement taking into account the principles of BAT. The analysis of the legal framework for BAT in Russia and the EU is carried out. The features of the state regulation in the field of BAT and the main approaches to formation of a complex of measures for transition to principles of BAT are considered. It has described the innovative approach to the development of waste treatment technologies that are best and available from an environmental and economic point of view. It has identified limiting parameters affecting the efficiency of waste utilization and the suitability for use as secondary material resources, particularly in the construction industry
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Description
In root exudates of alfalfa, wheat and radish we have found 12 amino acids. As well as 5 organic acids were identified. In the variant with exudates of wheat as the sole source of carbon and energy maximum titer of microorganism Rhodococcus erythropolis RCM Ac-2017D were observed
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DEVELOPMENT OF A FUNCTIONAL FEED ADDITIVE
Description
The new feed additives for animals based on milk whey, enriched with sprouting wheat, barley, maize grains and lactic-acid bacterium have been presented in this article. This study explores the possibility of combining the prebiotics ability of milk whey and sprouting grains with feed probiotic attributes of microbe to enhance gut health of animals and digestibility of the feed. Twelve variants of products were tested in the study using the microbial and physical-chemical approaches. All the assays showed high count of microorganism and high content of reducing sugar. The results of investigation indicate that selected feed additive show high quality. An additional point is that it contains useful organic acids (lactic, acetic and propionic acids) and 2,1×109 colony-forming unit of probiotics microorganism that hold the concentration for 4 months. There are not yeast, must, coliform bacteria and Staphylococcus aureus in the developed functional feed product. It contributes to the normalization of the microflora of the gastrointestinal tract of animal, suppression of conditionally pathogenic and putrefactive microflora. The elaborated feed component will help to provide combined feed companies with accessible high-quality raw material
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Description
The work presents the results of studies on the influence of the foliar spraying of white grapes of the technical sort of ‘Chardonnay’ with new water-soluble fertilizers: Nutrivant plus vinograd, Kelik potassiumsilicon, Atlanta plus and microelements in chelated form - Kelkat boron, Kelkat manganese and Kelkat zinc, on its agro biological and technological indicators. The field experiment was performed in the AF Close Joint-Stock company "Primorsk" in Temryuk District. The diagram of the experiment consisted of five options: without treatment (control); Nutrivant plus vinograd - 1 kg / ha; Kelik potassium silicon - 3 kg / ha; Atlanta plus - 2 kg / ha; a set of microelements - Kelkat boron, manganese and Kelkat Kelkat zinc 660 g / ha each. It was established that the foliar spraying with these fertilizers contributes to a more intensive accumulation of sugar in the juice of berries and to the acceleration of the harvest ageing. Furthermore, the productiveness of shoots has been increased, as it is shown in a greater number of inflorescences, and sometimes, the average bunch weight increases. All this contributes to a significant increase in a yield from a bush and to a crop yield. The highest content of chlorophyll (a + b), carotinoid and the amount of pigment were observed in cases of "Atlant plus" and "Kelik potassium-silicon," where the highest sugar was contained in the berries. Foliar spraying of grapes with the complex of microelements and also Nutrivant plus and Atlanta plus contributed to the improving of the quality of wine, as evidenced by the data of the tasting degustation. The highest mark was provided by the foliar spraying of bushes using the complex of microelements
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