The main objective of this article is to solve a
problem of a numerical identification of cyclones
based on the reanalysis data. The results show that
the amount of cyclones is increasing during last 66
years, the number and depth of cyclones are larger in
Northern Hemisphere than in Southern, and Northern
Hemisphere cyclones become deeper and deeper with
time. Cyclonic activity in the Northern Hemisphere
mainly is caused by large number of cyclones, in the
Southern Hemisphere – by their depth. In the
Northern Hemisphere cyclone characteristics change
significantly
In practice, we often encounter the problem of
determining a system state based on results of various
measurements. Measurements are usually
accompanied by random errors; therefore, we should
not talk about the definition of the system state but its
estimation through stochastic processing of
measurement results. In the monograph by E. A.
Semenchina and M. Z. Laipanova [1] it was
investigated for one-step filtering of the measurement
errors of the vector of demand in balance model of
Leontiev, as well as multistage optimal filtering of
measurement errors of the vector of demand. In this
article, we have delivered and investigated the inverse
problem for the optimal one-step and multi-step
filtering of the measurement errors of the vector of
demand. For its solution, the authors propose the
method of conditional optimization and using given
and known disturbance to determine (estimate) the
matrix elements for one-step filtering of measurement
errors and for multi-stage filtration: for given variables
and known disturbance to determine the elements of
the matrix. The solution of the inverse problem is
reduced to the solution of constrained optimization
problems, which is easily determined using in MS
Excel. The results of the research have been outlined
in this article, they are of considerable interest in
applied researches. The article also formulated and the
proposed method of solution of inverse in a dynamic
Leontiev model
Micro and nanofluidics are the new multidisciplinary
sciences. One of the tasks of which is creation and
management of flow of fluid in the thin channels size
of a few nano- or micrometer which exposed the
external electric field, where the walls are the ion
exchange membrane. Electroosmosis
(electroconvection) plays an important role in these
tasks. A large number of articless were devoted to
electroosmosis. One of the first, Dukhin S.S.,
Mishchuk N.A. and Rubinstein I. gave a theoretical
explanation of the overlimiting current by
electroosmosis. They used two-dimensional Stokes
equation to calculate the flow of the electrolyte, and
one-dimensional equations of Nernst-Planck and
Poisson to calculate the electric power. These
researches have multiple limitations because of the
computational complexity the mathematical
simulation. Thus, there is an actual problem of the
asymptotic solution of boundary value problems for
the two-dimensional systems of equations of NernstPlanck
and Poisson without these restrictions. These
researches we derived in simplified models of
electroosmosis in galvanic dynamical mode using the
decomposition method. We have created a hierarchical
system of two-dimensional mathematical models of
ion transport of salt and electroosmosis in micro- and
nanochannels formed by selective ion-exchange
membranes
The 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
The article presents the theory of the electromagnetic
type of rocket motor. The apparatus consists of a
magnetron and a conical cavity in which
electromagnetic oscillations are excited. We explain
the mechanism of trust in such a device based on
Maxwell's theory and the Abraham force. We built a
dynamic model of the motor and calculated the
optimal parameters. It is shown, that the laws of
conservation of momentum and energy for the rocket
motor of electromagnetic type are true, taking into
account the gravitational field. In simulation, the
movement used the theory of relativity. The source of
the motion in an electromagnetic drive is the mass
conversion in various kinds of radiation. The
optimization of the operating parameters of the device
is done, namely by the excitation frequency, the
magnitude of heat losses of electromagnetic energy
by thermal radiation in the IR spectrum, the
parameters of heat transfer and forced from the
temperature dependence of the resistance of the
material of the cavity walls. It was found that the
effective conversion of electromagnetic energy in the
trust force necessary to minimize the deviation of the
excitation frequency of the primary resonance
frequency of the cavity. The mechanism of formation
of trust under change the metrics of space-time,
taking into account the contribution of the Yang-Mills
theory and electromagnetic field tensor of energymomentum
has been proposed
The article discusses the application of automated system-cognitive
analysis (ASC-analysis), its mathematical
model which is system theory of information and
its software tool, which is intellectual system called
"Eidos" for solving problems related to identification
of types and models of aircraft by their silhouettes on
the ground, to be more precise, their external contours:
1) digitization of scanned images of aircraft and creation
of their mathematical models; 2) formation of
mathematical models of specific aircraft with the use
of the information theory; 3) modeling of the generalized
images of various aircraft types and models and
their graphic visualization; 4) comparing an image of a
particular plane with generalized images of various
aircraft types and models, and quantifying the degree
of similarities and differences between them, i.e., the
identification of the type and model of airplane by its
silhouette (contour) on the ground; 5) quantification of
the similarities and differences of the generalized images
of the planes with each other, i.e., clusterconstructive
analysis of generalized images of various
aircraft types and models. The article gives a new approach
to digitizing images of aircraft, based on the
use of the polar coordinate system, the center of gravity
of the image and its external contour. Before digitizing
images, we may use their transformation, standardizing
the position of the images, their sizes (resolution,
distance) and the angle of rotation (angle) in three dimensions.
Therefore, the results of digitization and
ASC-analysis of the images can be invariant (independent)
relative to their position, dimensions and
turns. The shape of the contour of a particular aircraft
is considered as a noise information on the type and
model of aircraft, including information about the true
shape of the aircraft type and its model (clean signal)
and noise, which distort the real shape, due to noise
influences, both of the means of countering detection
and identification, and environment. Software tool of
ASC-analysis, i.e. Eidos intellectual system, provides
identification of the type and the model of airplane by
its silhouette, as it was shown in a simplified numerical
example
The question of construction of electrodynamics in the
framework of the metric theory of gravitation is
discussed. It is shown that the energy-momentum tensor
of the electromagnetic field creates a space in which
Faraday's law of induction is true. In such a space the
scalar curvature vanishes identically, although space
contains matter in the form of an electromagnetic field. It
is proposed to call such space Faraday's magnetic
universe as historically Faraday first established
experimentally that "empty space is a magnet." We
consider the metric of the expanding universe and
metrics that describe the local gravitational field in the
Newtonian theory. It was established that the field
equations in spaces containing matter only in the form of
an electromagnetic field in these metrics are reduced to
hyperbolic equations describing the propagation of
waves at the speed of light. However, in the field
containing matter, the field equations are the equations
of parabolic type, which describe diffusion or probability
waves of Schrödinger quantum theory type. It is assumed
that the potentials of the two metrics are connected, as
with the potentials of the electromagnetic field, and the
potentials of the Yang-Mills theory. Hence, the total
output for all interactions law establishing the primacy of
the gravitational field as the fundamental interaction,
generating other interactions
The article presents a technique of short-term
forecasting of water level in the river bed of a
mountain type using Markov’s chains
The article presents a technique of short-term
forecasting of water level in the river bed of a
mountain type using Markov’s chains
The article presents the theorem of Chebyshev on the
distribution of primes, considering functions that
approximated prime numbers. We have also
considered a new function, which is quite good for
approximation of prime numbers. A review of the
known results on distribution of prime numbers is
given as well