01.00.00 Physical-mathematical sciences
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01.00.00 Physical-mathematical sciences
DescriptionThis work deals with the numerical method of solution of integral equation with the kernel, which has the first order singularities by two variables. The solution is approximated by piecewise linear functions by every variable. The coefficients are determined by the collocation method. The singular integrals of basic functions are calculated exact
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01.00.00 Physical-mathematical sciences
DescriptionWe consider the methods for estimation of the effectiveness and quality of the scientific activities of the researcher, of the organization, of the magazine. Performance indicators of scientific activity are used as an important part in the estimation of higher education institutions, the innovative capacity of enterprises, etc. To estimate the effectiveness of scientific activity is natural to use intellectual tools which are well-established in other subject areas. This will include, in particular, the balanced scorecard, based on key performance indicators (hence the title of this article), as well as controlling, primarily controlling of research activities. There are two more developed and widely used types of tools for estimation the effectiveness of the scientific activity - the scientometric indicators and the expert estimators. Their critical analysis is the subject of this article. The goal - to choose the most effective tool. Different versions of manipulating of values of scientometric indicators in the Russian Federation, in our estimation, are still relatively rare. Perhaps this is due to the relatively short period of their use in the management of science. Since an indicator such as citation index (the number of citations of publications) of researcher, allows estimating its contribution to science, the use of this scientometric indicator for the management of science is justified. At the same time, the number of publications and especially h-index is not possible to objectively estimate the effectiveness of research activities, particularly in view of the properties of the real bibliometric databases. Expert procedures have several disadvantages. In this article we discuss the real effectiveness of expert procedures in the areas of their application, as conferring academic degrees and elections to the National Academy of Sciences (primarily in the Russian Academy of Sciences), as well as appointments to senior positions. The basic principles of expertise in these areas remain the same for the past 70 years. Based on an analysis of practice it is necessary to ascertain the lack of efficacy of expert estimators in these areas. Rationale to what has been said is given in the article
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ECONOMETRICS FOR THE CONNROLLERS
01.00.00 Physical-mathematical sciences
DescriptionRequirements for the professional training of сontrollers include, in particular, the requirements for an intelligent tool that controllers must possess. One of such tools is the econometrics. Organization of training, in particular, preparation of curricula, programs, teaching materials and textbooks, involves discussion of the scope and content of the relevant discipline. We have given the description of the econometric tools of controlling, including the courses of "Econometrics-1" and "Econometrics-2", which the Department of the IBM-2 "Economics and organization of production" is on the faculty "Engineering and Business Management" of Bauman Moscow State Technical University. We have discussed the external environment of econometrics and the necessary changes in it. For example, the course of "Probability Theory and Mathematical Statistics" is the basis for the study of econometrics. However, it has to be brought into line with modern requirements. In particular, it is necessary to consider such things as random elements with values in an arbitrary space, empirical and theoretical means in such spaces, to prove the laws of large numbers in general statements. Simultaneously with the specified extension course content is reasonable to exclude from the program methods based on those assumptions are not met in the concrete economic situations. In particular, we have to eliminate the one-sample and two-sample Student's t tests and replace them with the corresponding nonparametric tests. We do not need the "classical" and geometric probability, etc. We have given the importance of the problem of constructing integral indicators in various problems of econometrics; issues of analysis of the situation by means of a system of indicators are discussed in detail
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ECONOMETRICS AS AN ACADEMIC DISCIPLINE
01.00.00 Physical-mathematical sciences
DescriptionStatistical methods are widely used in domestic feasibility studies. However, for most managers, economists and engineers, they are exotic. This is due to the fact that modern statistical methods are not taught in the universities. We discuss the situation, focusing on the statistical methods for economic and feasibility studies, ie, econometrics. In the world of science, econometrics has a rightful place. There are scientific journals in econometrics, Nobel Prizes in Economics are given to series of researches in econometrics. The situation in the field of scientific and practical work and especially the teaching of econometrics in Russia is disadvantaged. Often, individual particular constructions replace econometrics in general, such as those related to regression analysis. The article is devoted to econometrics as an academic discipline. Our course begins with a discussion of the structure of modern econometrics, the connections between applied statistics and econometric methods. We consider sample researches (analysis of surveys results), the elements of econometrics numbers, and methods of testing of statistical hypothesis about homogeneity. We have given the concepts of regression analysis, econometric classification methods, modern measurement theory. The important places are occupied by the statistics of non-numerical data (including fuzzy sets and their links with random sets) and the statistics of interval data. The problem of the stability of statistical procedures with respect to the tolerances of input data and model prerequisites is discussed. The representations of the econometric methods of expert research and quality control, analysis and forecasting of time series, econometrics of forecasting and risks are given
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ECONOMETRIC TOOLS OF CONTROLLING
01.00.00 Physical-mathematical sciences
DescriptionEconometrics is one of the most effective mathematical tools of controlling. The article deals with general problems of application of econometric methods in solving problems of controlling. Econometric methods - is primarily a statistical analysis of concrete economic data, of course, with the help of computers. In our country, they are still relatively little known, even though we have the most powerful scientific school in the foundations of econometrics - the probability theory. The article shows that to decide the problems of controlling is necessary to apply econometric methods. Classification of econometric tools can be carried out on various grounds: on methods, by type of data, in tasks, etc. Mass introduction of software products, including modern econometric analysis tools of concrete economic data can be regarded as one of the most effective ways to accelerate scientific and technological progress. The whole arsenal currently used econometric and statistical techniques (methods) can be divided into three streams: high econometric (statistical) technology; classical econometric (statistical) technology, low (inadequate, obsolete) econometric (statistical) technology. The main problem of modern econometrics is to ensure that the concrete econometric and statistical studies used only the first two types of technology. To get a broader representation of the use of econometric methods in the management of production organization we analyze basic textbook "Organization and planning of engineering production (production management)," prepared by the Department of "Economics and organization of production" of the Bauman Moscow State Technical University. It has more than 20 times using econometric methods and models that testify to the effectiveness of such a tool of manager as econometrics
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01.00.00 Physical-mathematical sciences
DescriptionA simple climate–economic model based on the AK model of economic growth with the endogenous depreciation rate linear in temperature and on the exogenous climate scenario with temperature linear in time is considered. The analytical solution of the model is obtained. The uncertainty of temperature projections is introduced in the model, and the moments of model state variable are calculated analytically. Numerical examples are provided
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01.00.00 Physical-mathematical sciences
DescriptionThe article by continues the cycle of their studies related to the formulation and development of methods of constructing non-negative solutions of inverse problems of balance models (in this case, the model of world trade). Method of constructing nonnegative solutions of the studied inverse problems is developed. This technique is based on the following scheme of the solution. Initially we convinced of a correct formulation of the direct problem, then of the solvability of the inverse. Further, by specified tabular solutions of the direct problem, a system of algebraic equations containing the unknown, the estimated parameters of the studied model is built. Then the inverse problem reduces to solving the following quadratic programming, the solution of which is determined in MS Excel. The theoretical material is accompanied by solution of specific example, using statistical data of the Karachay-Cherkess Republic that shows how actually in practice it is possible to solve the inverse problem, i.e. to organize a process of balanced trade of the Karachay-Cherkess Republic with each of the subjects of Noth – Caucasion Federal District. Found the non-negative elements of a matrix, by which we can judge what proportion of national income, y, the subject has to spend on the purchase of goods in the Karachay-Cherkess Republic, to trade between this pair was balanced. So, the inverse problem posed in relation to the trading countries, it is possible to put and solve the following method and to trade between the subjects of one country
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ECONOMIC-MATHEMATICAL METHODS IN CONTROL OF INDUSTRIAL AND ECOLOGICAL SAFETY
01.00.00 Physical-mathematical sciences
DescriptionWhen considering the ecological safety of industrial productions, territory, etc., we usually allocate the constant (permanent) risk and the accident (emergency) risk. Permanent risk is given by the used technology, and cannot be changed substantially. Emergency risks are associated with uncertainty, in contrast to the constant risks. Let in adopted mathematical model the uncertainty is probabilistic in nature, and the loss describes as one-dimensional random variable. The distribution function of the loss, as a rule, is not normal. We have discussed in detail the seven characteristics of accidental loss: expectation; median and, more generally, quantile; dispersion; standard deviation; coefficient of variation; a linear combination of the expectation and standard deviation; the expectation of the loss function. Risk management may be to minimize these characteristics and their combinations (in different variants of multicriteria optimization). For example, in the two-criteria formulation it is required to minimize the expectation of loss and the standard deviation. Two-criteria formulation one way or another is reduced to a one-criteria formulation. In addition to probabilistic methods of risk modeling, sometimes we consider methods for describing risk using by means of objects of non-numeric nature, in particular qualitative characteristics, concepts of the theory of fuzzy sets, interval mathematical and econometric models and other mathematical tools. The main problems of the theory and practice of ecological insurance have been discussed
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01.00.00 Physical-mathematical sciences
DescriptionThis work is devoted to the research of the thin-walled cylinders’ surface roughness dependence upon the modes of processing by the roller head. The research was made on the machine 1K62, preliminary treatment – boring and unfolding
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ELECTRICAL PROPERTIES OF A THIN LAYER OF A MAGNETIC FLUID WITH A GRAPHITE FILLER IN A MAGNETIC FIELD
01.00.00 Physical-mathematical sciences
DescriptionThe electrical properties of the thin magnetic fluid layer containing the dispersion of graphite microparticles are studied. The influence of the external magnetic field on the peculiarities of the electrical properties is investigated