The mathematical essence of systemic information theory(STI) offered by the author is the mathematic model of systemic-cognitive analysis ( SC-analysis) realized in its programming instruments – universal cognitive analytical system “AIDOS”.
The purpose of this work is to estimate the probability of synchronization of the memory bandwidth during the initial synchronization occurrence in REB conditions, due to the time interval when the attacker did not begin to interfere
It is offered to expand the classification of risks by
introducing a global risk of economic system,
which separates stages burdened with the local
risks having arbitrarily direction. Serial or parallel
origin of these risks is modeled dyadic chain
vectors or four-dimensional conglomerates of
quaternions in Clifford spaces. Multivariate risk is
to transform analytically, calculate quantitatively,
construct geometric vector operations in the
ensemble with the economic variables on which
part of the cost of the risk and that is lost or after
symptoms appear. Therefore, the cost of an asset
depends on a comprehensive cost of the "basis",
burdened risk ("common value"), and the
magnitude of the risk of leaving part - "risky value"
- from zero. Now, the risk emerges as a new
economic and mathematical category. Through the
study of risks and through research of their new
multi-dimensional performance value it is possible
to insight into understanding the mechanisms of
action of the economic laws worldwide and in
Russia
In the article the following items are represented: mathematical formulation of asynchronous generator with cage rotor, condenser’s excitation and ramified 3-phase stator’s winding. Electromagnetic and electromechanical processes of generator in the isolated regime are described. Equations of voltage stability, equations of current, equations of rotor are used for describing of electricity circuits of generator
The present study was carried out in the view of the
fact that there is no more or less complete theory of
time series prediction memory to date. This determines
the urgency and necessity of the development of new
mathematical methods and algorithms to detect
possible potential predictability of the series with the
memory and the construction of adequate predictive
models. Classical methods of forecasting economic
time series are based on the mathematical apparatus of
econometrics. It is carried out basing on the
assumption that the observations that make up the
projected time series are independent, whereby to
perform the necessary subordination of the normal
law. The latter, however, is the exception rather than
the rule for economic time series that have so-called
long-term memory. Toolkit implementations of
nonlinear dynamics were the new computer
technology that made it possible to study complex
phenomena and processes “on the display screen”. The
proposed approach differs from the classical methods
of forecasting by the implementation of a new
accounting trends (evolution of centers and the size of
a bounding box), and is a new tool (phase portraits) to
identify the cyclical components of the considered
time series
Sociology is one of the most important social
sciences. Mathematical and primarily statistical
methods are effective intellectual tools of
sociologists. Let us analyze the work of the author of
this article on the development of statistical methods
to meet the challenges of sociology. Then we give
the review of development of statistical methods in
Russian sociology for 45 years (1970-2015). The
basic scientific events of these years, first of all, were
formation of applied statistics and its basis - statistics
of the non-numerical data (in sociology of 70-90% of
variables have non-numerical nature). Over the last
30 years, the Russian sociology has been growing
rapidly in all quantitative parameters. Clearly, the
depth of investigation gives the use of advanced
scientific apparatus - methodology and methods of
data collection and analysis, mathematical models. In
our view, a fundamental breakthrough was made in
our country in the 1970s. It was then in the arsenal of
Russian sociologists appeared measurement theory
and fuzzy sets, mathematical methods of
classification and multidimensional scaling,
nonparametric statistics and statistics of non-numeric
data. In subsequent decades it has been a natural
development of scientific apparatus. The same
mathematical and statistical methods and models can
be successfully applied in various fields of science
and practice. Statistical methods and models are very
effective in sociological, socio-economic,
managerial, technical and feasibility studies,
medicine, history, in almost any industry and
application areas of knowledge. Within this field, the
main event of the last thirty five years - is becoming
a scientific and practical discipline "Applied
Statistics", dedicated to the development and
application of statistical methods and models. An
analysis of the dynamics of applied statistics leads to
the conclusion that in the XXI century the statistics
of non-numerical data is becoming a central area of
applied statistics, as it contains the most common
approaches and results
This article gives a review of mathematical methods of construction and using of classifications. The main approaches to solving the problems of cluster analysis and grouping are discussed. We have also proposed global and local natural classification criteria. The methods of discriminant analysis
(diagnosis, pattern recognition with the teacher) are discussed in connection with the construction of generalized indicators (ratings)
The article continues the cycle of their studies
associated with the formulation and development of
methods of construction of nonnegative solutions of
inverse problems for dynamic systems. In practice, we
have developed and tested mathematical models of
dynamic systems. The basis of these models was based
on the apparatus of linear algebra, mathematical
analysis, mathematical programming, differential
equations, optimization methods, optimal control
theory, probability theory, stochastic processes,
operations research, game theory, statistical analysis.
The inverse problem in various models of
mathematical Economics was considered rare. These
tasks were sufficiently well investigated in the study of
physical processes. As shown by the analysis of the
theoretical and applied studies of economic processes
they represent considerable interest for practice.
Therefore, the article considered the inverse problem
of the mathematical model, as shown already
introduced the results of other mathematical models,
are of considerable interest in applied and theoretical
research. In this article the authors formulated and
investigated the inverse problem for dynamical
systems zero-order and the model of Keynes. For their
solution, the authors propose to build a system of
algebraic equations, then, using methods of quadratic
programming, to find the best average of mean square
estimation of the model parameter, which are defined
in MS Excel
The purpose of this research is to receive mathematical
model of natural drying of the whole trees in bunches
in a cutting area based on experimental data. The field
research of natural drying from March to October 2015
of the whole trees of pine and birch of different
diameter laid definitely in bunches in a cutting area
was conducted for this purpose. The mathematical
model describing change of moisture content in wood
in the course of natural drying in bunches in a cutting
area was as a result developed. The received equation
of regression defines dependence of average humidity
of wood in a bunch from diameter of wood, quantity of
a liquid atmospheric precipitation, relative humidity
and temperature of air, average speed of the movement
of the air blowing in bunch of trees, duration of natural
drying. The developed mathematical model allows
predicting change of moisture content of wood in the
course of natural drying with a margin error less than
5%. Humidity of wood in the course of natural drying
from March to October was on average reduced from
52% to 27%. Besides, in article the technology of
logging of fuel wood on an energy forest is offered.
The technology of stacking of trees in bunches at
logging of the fuel wood which is grown up in forest
plantations is offered. The results of the research can
be used for increase of production efficiency of fuel
wood
In the article the mathematical model, a technique of numerical calculations (including algorithms and structures of data) and their program realization in an infrastructure of universal cognitive analytical system of "Eidos", and also the intellectual technology and a technique of revealing and research of functional dependences of volumes of production in regional agrarian and industrial complex from structure of expenses are offered. Results of appliance of the given intellectual technology on materials of agrarian and industrial complex of Krasnodar region are resulted and the recommendations about perfection of structure of expenses are offered on their basis