The present paper concerns the notion of weak o-minimality introduced by M. Dickmann and originally deeply studied by D. Macpherson, D. Marker, and C. Steinhorn. Weak o-minimality is a generalization of the notion of o-minimality introduced by A. Pillay and C. Steinhorn in series of joint papers. As is known, the ordered field of real numbers is an example of an o-minimal structure. We continue studying model-theoretic properties of o-minimal and weakly o-minimal structures. In particular, we introduce the notion of almost 1-transitivity in linearly ordered structures and study tits properties. Almost 1-transitive o-minimal and weakly o-minimal linear orderings have been described. It has been established that an almost 1-transitive weakly o-minimal linear ordering is isomorphic to a finite number of concatenations of almost 1-transitive o-minimal linear orderings. Properties of expansions of families of almost 1-transitive linearly ordered theories are studied. Rank values for families of almost 1-transitive o-minimal and weakly o-minimal linear orderings have been found. A criterion for preserving both the almost 1-transitivity and weak o-minimality has been found at expanding an almost 1-transitive weak o-minimal theory by an arbitrary unary predicate. Dense ordering of an almost 1-transitive weakly o-minimal theory that is almost omega-categorical has been established.

The paper is devoted to research existence property of universal numberings for different computable families. A numbering α is reducible to a numbering β if there is computable function ƒ such that α = β ◦ ƒ.  A computable numbering α for some family S is universal if any computable numbering β for the family S is reducible to α. It is well known that the family of all computably enumerable (c.e.) sets has a computable universal numbering. In this paper, we study families of almost all c.e. sets, recursive sets, and almost all differences of c.e. sets, namely questions about the existence of universal numberings for given families. We proved that there is no universal numbering for the family of all recursive sets. For families of c.e. sets without an empty set or a finite number of finite sets, there still exists a universal numbering. However, for families of all c.e. sets without an infinite set, there is no universal numbering. Also, we proved that family ∑₂^-1 \ Β and the family ∑₁^-1 has no universal ∑₂^-1-computable numbering for any Β ∈ ∑₂^-1.

The article describes a model laboratory installation for conducting studies of hydrodynamic parameters, testing of gel pistons, additives and inhibitors, studies of external and internal corrosion of pipe steel, operation of the electrochemical protection (ECP) system, soil composition and properties. A feature of the installation is its multitasking with a wide range of simultaneous and separate studies, simulating the technology of pipeline transport. The degree of influence of additives on rheological parameters or corrosion inhibitors, the assessment of internal corrosion is carried out in the test medium - oil / oil mixture / water / oil-water mixture. Studies of the activity of external corrosion on the pipeline are carried out by selecting the parameters of the ECP system and the state and quality of the protective coating on the pipeline section immersed in the ground. In this case, it is possible to use soils from various sections of pipelines with different corrosive activity, as well as changes in their physical and chemical properties - humidity, salt content. Preliminary data on the influence of soil moisture on its electrical resistivity and metal corrosion rate are presented, the results of which correlate with field studies.

Further research will make it possible to reproduce conditions close to real during the transportation of oil and water in order to assess and determine the optimal modes of transportation and technologies for protecting pipelines from corrosion in order to achieve optimal technical and economic indicators for production.

The article presents the results of the study of the influence of the composition and temperature of heating on the flow of the mixture of oil of West Kazakhstan/Mangyshlak/Aktobe fields (transported through the main pipeline «Kenkiyak-Kumkol») and oil fields of Kumkol group (treated with depressant); degree of rheological reduction depends on heating temperature, wax and asphalt-resin content and cooling conditions, and paraffin oils have an optimal heating temperature, where the heat treatment effect is greatest. This temperature is always higher than the melting point of the paraffins in the oil. At the same time, the most favorable conditions are created for dendritic crystallization of paraffin with the formation of the least stable structure. When heating high-frozen oil below the melting point of paraffins, there may be a sharp deterioration of the rheological parameters of the oil due to the formation of a solid fine-crystalline structure; the results of the physical-crystalline research are obtainedthe chemical and rheological properties of the oil mixture of ZKNS-Kumkol formulations 30-70 and 40-60% have shown that the negative effect from heating to 35 and 45 ^oC must be taken into account when deciding on the use of oil heating technology to improve transmission modes, because this will lead to deterioration of rheological properties of oil and will reduce the effectiveness of the depressant additive (which is used to process the Kumkol component of the oil mixture). In order to improve the flow of the oil mixture ZKNS-Kumkolskaya can consider the possibility of heating the oil up to 55 ^oC, or increasing the share of the West Kazakhstan component along with the absence of heating of the oil mixture (mixing of components at actual temperatures).

In this work, the behavior of charged micron-sized particles in the DC glow discharge stratum at low pressure in a crossed magnetic and electric field was experimentally studied. The experiment was conducted in a vertically oriented gas-discharge glass tube. A homogeneous magnetic field was created using a two-section Helmholtz coil. The results showed that the micron-sized dust particles move in the opposite direction to the ExB drift as the magnetic field induction increases. Once the induction reaches a specific threshold (B>10 mT), the dust particles start rotating and forming counter-rotating vortex pairs on the horizontal plane. Moreover, it was observed that the shape of the dust structures changes from a disk to an ellipsoid. The PIV (particle image velocimetry) method was employed to analyze the dust vortices' dynamic behavior, and the generation of the co-vortex rotation was explained through the dust particles' charge gradient, which was orthogonal to the ion drag force.

Call Detail Records (CDRs) are records that provide information about phone conversations and text messages. CDR data has been proved in several studies to give useful information on people's mobility patterns and associations with fine-grained temporal and geographical characteristics. This paper proposes to embed the traces recorded in the CDRs to extract meaningful information. These latter provide insights about the location that may need support to cover or recover the network. After embedding the users' trajectories step, we use the embedding results to recommend the antennas with coordinates and support demand needed to a fleet of Unmanned Aerial Vehicle. Finally, we ended up with a capacitated vehicle routing problem that we solved using a Google open-source software named OR-Tools.