The article discusses various examples of dynamical
systems in which the motion is determined by the
logarithmic law - quark systems, hydrodynamic
systems, galaxies. Set the general nature of angular
motion on a hypersphere in a space of arbitrary
dimension and radial movement 6D in the metric of a
logarithmic potential. We investigate the 6D metric
describing the case of motion with two centers of
symmetry. It is shown that in such a metric exists a
class of exact solutions, logarithmically dependent on
the gravity center coordinates. It was established that
in spiral galaxies the orbital motion is due to the
logarithmic potential, which is the exact solution of the
field equations of Einstein's theory of gravity. The
most well-known and widespread in nature case is
turbulent flow over a smooth or rough surface, in
which the mean velocity depends logarithmically on
the distance from the wall. We derivate the logarithmic
velocity profile in turbulent flow from the NavierStokes
equations. An analogy of the logarithmic
velocity profile and the logarithmic law in the case of
erosion of materials under impacts been proposed. In
electrodynamics, Ampere's law, which describes the
interaction of current-carrying conductors, is a
consequence of the logarithmic dependence of the
vector potential of the distance from the conductor
axis. There is, however, an alternative derivation of
Ampere law of the Riemann hypothesis about the
currents due to the motion of charges
In the given article, we describe an approach to the
formation of learning environment optimal structure
based on logical price tools using through statistical
assessment of universities rank distribution. The
actuality of this approach is based on the analysis of
modern methods to the formation of the university
landscape and assessment of a number of systemic
problems of universities’ structure transformation,
which consists in the disproportion reinforcement and
reducing the variety of educational programmes and
research schools, which prevents its effective
development. The postulates of institutional university
transformations based on the pragmatic paradigms
providing stability and progressive development of the
system in its self-development and evolution process
are proposed as a methodological concept of using the
statements of the cenoses theory. The logical price
analysis of the Russian universities structure in 2015
conducted above has confirmed the proposed
hypotheses, showing statistical coupling of university
environment elements, their relatively systematic
instability and structural imbalances. The educational
system assessment as a cenosis allowed to reveal
points of the required impact factor, state intervention
direction in the distribution structuring, possible
limitations associated with the implementation of large
universities support programmes. The proposed
approach has a high level of reality objective
assessment and may be used when making long-term
strategic decisions
This article offers the logical probabilistic approach to administrative decisions in electronic libraries creation
The article gives a formulation of the problem of logistic management of forest resources. Different variants of its decision on the strategic and tactical levels are described
The article gives an analysis of the evolution logistics concepts in the perspective for nature the synchronization process. Identifies key features of the different concepts and describes the basic technologies and standards information support. We propose a system of integration’s methods and synchronization for the various concepts and dynamics of their evolution
The article deals with the effectiveness of mineral and
organic fertilizers in long-term application (for more
than thirty years) according to the influence on the
fertility of ordinary black soil of the Western Ciscaucasia
and productivity of sugar beet. The investigations
were carried out in the long-term stationary experiment
laid on the experimental stationary section "Severokubanskaya
agricultural experimental station" of P.P.
Lukyanenko Krasnodar Agricultural Research Institute.
The experiment was laid simultaneously in time
and space in two ten-course crop rotations and combined
grain-grass tilled. In the structure of sown areas
sugar beet occupied 10% of crop rotation area and was
placed after the winter wheat. During three rotations it
was studied: 1- control without fertilizer with natural
forming level of mineral nutrition; 2- minimal dose
N21P26K16 3- medium dose N43P52K33 ; 4 - N43P52K33,
5- high dose N96P104K68; 6- organo-mineral system¹
N43P52K34 + 12 t/ha of manure; 7- organo-mineral system²
N20P24K34 + II-III rotations tillage of straw crop
+ 6 t/ha of manure; 8- medium dose P52K33; 9- medium
dose N43K33; 10- medium dose N43K52. The soil which
is used by organo-mineral system with increased and
high standards of mineral fertilizers had higher concentration
of mineral nitrogen. Long systematic application of fertilizer had more noticeable effect on soil
phosphorus regime. The provision of soil by exchange
potassium tended to decline from rotation to rotation.
If at the completion of the first rotation the content of
this battery was at the level 362,0-433,0 mg / kg of
soil, in 2010, these values were 356,0-405,0 mg / kg of
soil, remaining at the level of increased and high provision
characterized to ordinary black-soil. Fertilizers
for crop rotation provided almost equal yield increase:
in the first rotation - 4,9-16,0 t / ha in the second 5,3-
17,1, the third 6,1-15,5 t / ha. In the moderate favorable
for moisture and temperature conditions during
the first and third rotation (hydrothermal index 0,8-
0,76), the value of sugar beet yield was 30,1-46,1 and
35,7-52,1 t / ha, in comparison with tougher conditions
for the second rotation (hydrothermal index 0,41-
1,96) higher up to 2,6-6,5 9,2-16,0 t / ha.
Research carried out in long-term stationary experiment
showed that long-term use of fertilizers prevents
to the loss of soil organic substances, supporting the
humus content at the level of 3.95-3.99%, and organicsystems
contribute to its reproduction to 4,01-4,21%.
soil nitrogen state is stabilized. However, there is a
tendency of decrease of the exchange potassium in
mineral fertilizer systems. In the conditions of insufficient
moisture supply of the northern zone of Krasnodar
region the most applicable norm is N60P90R60, both
in mineral and organic-systems, ensuring the collection
of root crops within 43,0-45,2 t / ha, with an estimated
amount of sugar 6,92-7, 14 t / ha. The given systems of
fertilizer provide the yield of root crops 53,3-56,0 t /
ha with the synthesis of sugar 8,19-8,70 t / ha. Increasing
the rate of fertilizer in 2 times from medium to
N120P160R120 doesn’t increase the productivity, reduce
sugar content of root crop to 0.4-0.8%. It is undesirable
to use fertilizer that are unbalanced in nutrition
elements in which root crops yield declines from 5.4 to
19.0%, and current biological sugar from 6,1 to 25,9%
The question of extending the Lorentz electrodynamics to quantum theory is discussed. The system of equations of the Lorentz quantum electrodynamics was established
In this article, the analysis of the developed local irrigation system with the simultaneous nutrient application is given. On the basis of the experimental data, the author pointed out that to solve the problem, the process design ensuring sufficient application of nutrients for growing vegetable and fruit crops is required. The fertilizer and water mixing device according to the Patent #2448450 is considered
The mathematical model of soil stability to heavy metals contamination is proposed. The Lower Don soils contamination with Cu, Pb and Zn was calculated
The article considers the issues of distribution of Luffy, the properties of its fruit, its cultivation technology. It also discusses the features of biological development and farming cultivation. Based on the analysis of the image, it shows the main countries of
its industrial production: China, India, Vietnam, Japan. Attention is paid to the dissemination of Luffy in our country, the directions of breeding research have been substantiated