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Аn Optical Study Of Strain Relaxation And Interdiffusion In Znse/Zncdse Quantum Wells Modified By Γ-Irradiation, Muratbay B. Sharibaev, Kanatbay A. Ismailov, Ibrohim N. Karimov, Murodjon Z. Nosirov

Scientific Bulletin. Physical and Mathematical Research

If we turn to the literature data, it is known that the degradation of CdZnTe / ZnTe and CdZnSe /ZnSe quantum wells and usually includes two types of processes: (i) fast (as called dynamic, by analogy with the degradation of heterostructures based on A3B5 materials) - germination and propagation of extended defects from a GaAs substrate. This process in CdZnSe / ZnSe is slowed down by various technological methods (treatment of a substrate in sulfur; reduction of a damaged layer in a GaAs substrate; deposition of a GaAs epitaxial buffer layer; use of the concept of compensation of bipolar stresses; …

Local And 2-Local Derivations Of Solvable Leibniz Algebras With Null-Filiform Nilradical, Sardorbek Umrzaqov

Scientific Bulletin. Physical and Mathematical Research

In the works of Ayupov, Khudoyberdiyev and Yusupov proved that the local and 2-local derivation of solvable Leibniz algebras with model nilradical are derivations. Solvable Leibniz algebras with null-filiform nilradical are the partial case of solvable Leibniz algebras with model nilradical. However, the proof in the paper is different from model nilradical case. The derivation is a fundamental notion in mathematics. Derivations play a prominent role in algebra. There are many generalizations of derivations as antiderivation, δ-derivations, ternary derivations and (α,β,γ)-derivations. One of the important generalizations of derivation is local and 2-local derivations. Local derivations defined by Kadison, Larson and …

Obtaining, Structure And Electrophysical Properties Of The Solid Solution (Gaas1-Δbiδ)1-X-Y(Ge2)X(Znse)Y, Hotamjon Mansurov, Akramjon Boboev, Johongir Usmonov, Xushruybek Mahmudov, Dilkhayotjon Pulatjon Ugli Abdurakhimov

Scientific Bulletin. Physical and Mathematical Research

This work shows the possibility of growing a single-crystal substitutional solid solution (GaAs_1-δBi_δ)₀.₄₆(Ge₂)_0.31(ZnSe)_0.23on GaP substrates by liquid phase epitaxy from a bismuth-containing melt solution. was shown that tetrahedral bonds in the (GaAs_1-δBi_δ)₀.₄₆(Ge₂)_0.31(ZnSe)_0.23 layers are enriched with arsenide gallium molecules, and some GaAs_1-δBi_δ molecules are replaced by Ge₂ paired atoms and ZnSe molecule compounds. Experimental results showed that in the epitaxial film, the molar content of GaAs …

A Linear Differential Game With Gronwall Type Constraint, Bahromjon Samatov, Ulmasjon Soyyiboev, Adhambek Akbarov

Scientific Bulletin. Physical and Mathematical Research

In the paper, it has been investigated how Gronwall`s inequality can be used in theory of Differential Games. Here a pursuit problem of linear differential game has been studied when constraints of Gronwall type generalizing geometrical constraint imposed on control parameters of players. To solve the pursuit problem it will be proposed a parallel pursuit strategy ( -strategy) and its structure will be studied in relation to parameters. In this article, the authors` previous works will be advanced and extended. As a result of the work, the new sufficiency conditions will be suggested.

Hyperfine Interactions In Copper Lattice Sites Of Antiferromagnetic Compounds, Sirojiddin Z. Zainabidinov, Alla V. Marchenko, Pavel P. Seregin, Kudrat U. Bobokhuzhaev

Scientific Bulletin. Physical and Mathematical Research

Emission ⁶¹Cu(⁶¹Ni) Mössbauer spectra of dielectric metal-oxide compounds of divalent copper with molecular formulas correspond to the quadrupole and Zeeman interactions of the ⁶¹Ni nuclei with local fields at the copper lattice sites, whereas the spectra of superconducting metal-oxide complexes correspond to the interaction of the quadrupole moment of the ⁶¹Ni nuclei with the tensor of the electric field gradient.

Optimization Of The Automatic Operation Of The Plastic Crushing Machine, Yokubjon E. Kurbonov, Madaminjon K. Mahkamov, Nodirbek Sh. Kimsanboyev

Scientific Bulletin. Physical and Mathematical Research

The main costs in the production of plastic products that affect the cost of the product is the cost of materials. It accounts from 70% to 77% of all expenses. For this reason, the processing of plastic products and their use as secondary raw materials reduces the cost of production and leads to increased economic efficiency.

In order to obtain high-quality secondary raw materials by crushing plastic products, it is necessary to divide them into types before crushing. For classification and identification of plastic products, a fluorescent material is used to determine the composition and concentration of plastic. The result …

Study Of Diffusion, Solubility And Electrophysical Properties Of Scandium, Praseodymium And Europium In Silicon, Sirojiddin Z. Zainabidinov, Dilshad E. Nazyrov, Valentina P. Usacheva

Scientific Bulletin. Physical and Mathematical Research

The purpose of the present work was a comprehensive study of the diffusion, solubility and electrophysical properties of scandium (Sc), praseodymium (Pr) and europium (Eu) impurities in silicon. On the surface of the KEP-15 a layer of radioactive isotopes was sprayed: ⁴⁶Sc, ¹⁴³Pr₂O₃, or ¹⁵²Eu₂O₃. The duration of diffusion annealing varied depending on the diffusion temperature of 5 to 72 hours. Autoradiography, measurements of conductivity and Hall's effect, an isothermal relaxation of capacity and current, a research of diffusion, solubility and electrophysical properties of Sc, Pr and Eu in …

Development Of A Mobile Device For Drying Paddy, Botirali R. Bekkulov

Scientific Bulletin. Physical and Mathematical Research

The author of the article describes the results of scientific research aimed at creating a patented new design of a mobile drum device and ensuring an increase in the amount of paddy due to high-quality drying by substantiating its parameters. Firstly, an analysis of scientific research and patent information materials of existing devices for drying sludge working in a convective way, the existing advantages and the main disadvantages of existing devices are determined. Based on the analysis, the requirements of the newly developed device for drying the paddy are formed, theoretical research is carried out, the purpose of which was …

Growth And Investigation Of The (Gaas)1–X–У(Gе2)X(Znse)Y Semiconductor Alloy, Amin S. Saidov, Sirojiddin Z. Zainabidinov, Shakhriyor Kh. Yulchiev, Akramjon Y. Boboev

Scientific Bulletin. Physical and Mathematical Research

In this article, the experimental and theoretical studies on technology for producing the single-crystal semiconductor alloy (GaAs)_1–x–у(Gе₂)_x(ZnSe)y on GaAs substrates with the crystallographic orientation (100) by the liquid-phase epitaxy method is presented. The optimal process conditions of structurally perfect epitaxial layers were determined (cooling rate is 1 oC/min, temperature is 730–640°С, and growth rate ϑ = 0.15 μm/min). The grown epitaxial films possessed thickness values of 10 μm and р-type conductivity with resistivities of 0.1 Ω cm and the concentration of carriers of 5.1·10¹⁷ cm^-3.

Solvability Of Boundary Value Problem With A Conormal Derivative For An Equation Of Mixed Elliptic-Parabolic Type, Marguba H. Akbarova, Surayyo H. Akbarova

Scientific Bulletin. Physical and Mathematical Research

This article is devoted to the formulation and study of a nonlocal boundary value problem with a conormal derivative for an equation of mixed elliptic-parabolic type. Here the existence and uniqueness of the solution of the problem is proved. Uniqueness of the solution is shown by the method of energy integrals, and existence of a solution is based on the theory of integral equations. Existence of a solution of a nonlocal boundary value problem is equivalently led to a solvability of a system of singular integral equations of normal type with zero index.

On The Stability Of Some Non-Stationary Nonlinear Systems, Rustamjon V. Mullajonov, Shakhodathon N. Abdugapparova, Jumagul V. Mirzaahmedova

Scientific Bulletin. Physical and Mathematical Research

The objective of the theory of stability of motion is to establish signs that make it possible to judge whether the motion in question is stable or unstable. Since in reality perturbing factors always inevitably exist, it becomes clear that the problem of stability of movement assumes very important theoretical and practical significance.

Mathematical modeling of processes and phenomena in animate and inanimate nature always involves a certain classification of them in accordance with their complexity. Many processes and phenomena are modeled by large-scale systems (CMS), which consist of separate subsystems, united by communication functions. In many cases, CMS is …

Solve The Diophante`S Equations, Tulanboy T. Ibaydullayev, Alisher L. Abdulvohidov

Scientific Bulletin. Physical and Mathematical Research

This article is based on the lectures for gifted students of the faculty of Physics and Mathematics on the solution of Diophantine equations in science circles.

If the number of unknowns involved in a system of equations exceeds the number of equations, such equations are called Diophantine equations or indeterminate equations. Specifically, equations of the form

3x-5y=8, x²+3xy-y²=12,

x³+y²-3x+5=0, x³+y³=z³,… are indefinite equations.

Many of the equation or system of equations determine all the numbers to find solutions to the most common examples. Short multiplication formulas, …

Method Of Local Splins Of Modeling Signals Measured At Unequal Intervals, Rahimjon K. Azimov, Madaminjon K. Mahkamov, Bunyod R. Azimov

Scientific Bulletin. Physical and Mathematical Research

This article is devoted to the construction of spline models for signals measured at unequal intervals. Cubic spline models built at unequal intervals have a high accuracy of signal interpolation, which allows professionals to make informed decisions as a result of digital signal processing. As an example, a cubic spline interpolation model was constructed for digital processing of geophysical signals measured at unequal intervals. Geophysical signals are very important to us, because the ever-growing demand for natural resources around the world requires ever-increasing oil and gas production. This, in its turn, requires a more consistent and extensive exploration of oil …

Rota-Baxter Operators On 3-Dimensional Nilpotent Associative Algebras, Jamila R. Aliyeva, Hushruyahon M. Karimjanova, Ziyodahon B. Holmirzayeva

Scientific Bulletin. Physical and Mathematical Research

Associative algebras are introduced into mathematics of the 19th century and are still intensively studied. The classification of associative algebras of small dimensions first appeared in the works of Pierce in 1881. In 2018, the German scientist William de Graf gave a classification of nilpotent associative algebras of small sizes. The article describes all the Rota-Baxter operators on 3-dimensional nilpotent associative algebras.

Rota-Baxter operators were defined by Baxter to solve an analytic formula in probability. It has been related to other areas in mathematical physics and mathematics.

Throughout this paper algebras are considered over the field of complex numbers.

A …

Some Innovative Statistical Tools For Sustainability Of The Research Production Process, Kamola S. Ablazova

Scientific Bulletin. Physical and Mathematical Research

New control charts and their assessments determining the normality of the quality criterion are carried out in the article. Using these charts, the degree of stability of the production process is studied using one example.

In practice, the stability of the process under study is important. It depends on ordinary (random) and special (nonrandom) reasons. These reasons strongly affect the distribution of the process under study. Distributions may vary in position, spread, and shape. They can be checked using asymmetry and excess coefficients. If only the usual causes of variations occur, then the results of the process form a distribution …

Synergetic Simulation Of Nanostructure Growth Processes In The Volume Of Mesophase Of Silicon And Germanium, Sirojiddin Z. Zainabidinov, Bakhodirjon Askarov, Shukhratjon K. Akbarov

Scientific Bulletin. Physical and Mathematical Research

A new approach is proposed for studying the processes of nanoparticle growth under nonequilibrium conditions associated with vibronic effects. The adiabatic potential for studying atomic rearrangements of a local group of atoms is constructed. The nanoparticle growth process was studied by the method of synergetic modeling, taking into account the anharmonic terms in the adiabatic potential. Based on the methods of catastrophe theory, the conditions for the instability in a local group of atoms are found. It is shown that the number of bound atoms in a local group affects the stability of the local group of atoms. An analytical …

On Abattle Over The ‘Ebbinghaus Forgetting Curve’ Using Control Charts, Sohibjon A. Ahmedov, Hushnudbek D. Yuldashev

Scientific Bulletin. Physical and Mathematical Research

Studying the laws of memorization, the German experimental psychologist German Ebbinghaus statistically proved that if a person does not repeat the material studied, then the storage of material in memory decreases almost exponentially with respect to time. He called these arcs the “Curve of Forgetting”. In this case, the information is forgotten at first very quickly, and then slower.

More than two centuries, research has been conducted on the functional abilities of the human brain. Nowadays, natural and artificial intelligence are being compared by researchers.

Our method on the “Ebbinghaus Forgetting Curve” is based on using Control Charts with exponentially …

Finite-Difference Method For Calculating A Gas Pipeline Laid Over Rough Terrain, Madaminjon K. Mahkamov, Orifjon Sh. Bozorov, Ismatulla K. Khujaev

Scientific Bulletin. Physical and Mathematical Research

A numerical method is proposed for solving the problem of pipeline transportation of natural gas through a non-horizontal gas pipeline, when the law of change in the hydrostatic pressure in time is specified at the inlet of the section, and the law of change in the mass flow of gas is set at the output.

The nonlinear, quasi-one-dimensional equations of pipeline gas transport in the isothermal approach are transformed using the natural logarithm of dimensionless gas density and the introduction of forward and backward traveling waves. In the newly constructed system of equations, convective and resistance forces are nonlinear, and …