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Full-Text Articles in Physical Sciences and Mathematics

The Sets Of Julia And Mandelbrot For Multi-Dimensional Case Of Logistic Mapping, Rasul Ganikhodzhaev, Shavkat Seytov, Islombek Obidjonov, Lazizbek Sadullayev Dec 2020

The Sets Of Julia And Mandelbrot For Multi-Dimensional Case Of Logistic Mapping, Rasul Ganikhodzhaev, Shavkat Seytov, Islombek Obidjonov, Lazizbek Sadullayev

Central Asian Problems of Modern Science and Education

The present paper is devoted to investigation of the multidimensional case of the logistic mapping on the plane to itself. In this paper we learnt the properties of the sets of Julia and Mandelbrot for some two-dimensional logistic mappings. The sets of Julia and Mandelbrot help to define asymptotical behavior of the trajectories of certain mappings. The analytical solutions of the equations for finding fixed and periodic points and the computational simulations for describing the sets of Julia and Mandelbrot are the main results of this paper.


Cosine Similarity And Its Implementation To Uzbek Language Data, Sanatbek Gayratovich Matlatipov Dec 2020

Cosine Similarity And Its Implementation To Uzbek Language Data, Sanatbek Gayratovich Matlatipov

Central Asian Problems of Modern Science and Education

In this article, it has been considered the cosine similarity and its application to search for similarities in the Uzbek language texts. The algorithm of cosine similarity has been used to determine similarity of Uzbek texts. We give the application of the program, proposed by the authors, to the texts of the educational portal ziyonet.uz dataset;


A - Separately Subharmonic Functions., Sevdiyor Akramovich Imomkulov, S.M. Abdikodirov, R. Sharipov Dec 2020

A - Separately Subharmonic Functions., Sevdiyor Akramovich Imomkulov, S.M. Abdikodirov, R. Sharipov

Central Asian Problems of Modern Science and Education

In this work we give a definition of a -separately subharmonic function


Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Yashin Komilovich Khudayberganov Dec 2020

Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Yashin Komilovich Khudayberganov

Central Asian Problems of Modern Science and Education

This work is devoted to the study of an approximate solution of the initial-boundary value problem for the second order mixed type nonhomogeneous differential equation with two degenerate lines. Similar equations have many different applications, for example, boundary value problems for mixed type equations are applicable in various fields of the natural sciences: in problems of laser physics, in magneto hydrodynamics, in the theory of infinitesimal bindings of surfaces, in the theory of shells, in predicting the groundwater level, in plasma modeling, and in mathematical biology. In this paper, based on the idea of A.N. Tikhonov, the conditional correctness of …


Cartesian Product Of Regular Parabolic Manifolds., Alimardon Atamuratov Dec 2020

Cartesian Product Of Regular Parabolic Manifolds., Alimardon Atamuratov

Central Asian Problems of Modern Science and Education

We consider the regular parabolic manifold X and polynomials on it. It is proved regularity of Cartesian product of regular parabolic manifolds and described polynomials.


The Sets Of Julia And Mandelbrot For Multi-Dimensional Case Of Logistic Mapping, R.N. Ganikhodzhaev, Sh.J Seytov, I.N Obidjonov, L.O Sadullayev Nov 2020

The Sets Of Julia And Mandelbrot For Multi-Dimensional Case Of Logistic Mapping, R.N. Ganikhodzhaev, Sh.J Seytov, I.N Obidjonov, L.O Sadullayev

Central Asian Problems of Modern Science and Education

The present paper is devoted to investigation of the multidimensional case of the logistic mapping on the plane to itself. In this paper we learnt the properties of the sets of Julia and Mandelbrot for some two-dimensional logistic mappings. The sets of Julia and Mandelbrot help to define asymptotical behavior of the trajectories of certain mappings. The analytical solutions of the equations for finding fixed and periodic points and the computational simulations for describing the sets of Julia and Mandelbrot are the main results of this paper


Α - Separately Subharmonic Functions., S.A. Imomkulov, S.M Abdikodirov, R.A Sharipov Nov 2020

Α - Separately Subharmonic Functions., S.A. Imomkulov, S.M Abdikodirov, R.A Sharipov

Central Asian Problems of Modern Science and Education

In this work we give a definition of subharmonic function, where α=(αˈ,αˈˈ) and we show that under additional conditions, these functions belongs to the class φ˄β subharmonic functions.


Cartesian Product Of Regular Parabolic Manifolds, A.A. Atamuratov Nov 2020

Cartesian Product Of Regular Parabolic Manifolds, A.A. Atamuratov

Central Asian Problems of Modern Science and Education

We consider the regular parabolic manifold X and polynomials on it. It is proved regularity of Cartesian product of regular parabolic manifolds and described polynomials.


Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Y.K. Khudayberganov Nov 2020

Approximate Solution Of An Initial-Boundary Value Problem For An Nonhomogeneous Second-Order Differential Equation Of Mixed Type With Two Degenerate Lines, Y.K. Khudayberganov

Central Asian Problems of Modern Science and Education

This work is devoted to the study of an approximate solution of the initial-boundary value problem for the second order mixed type nonhomogeneous differential equation with two degenerate lines. Similar equations have many different applications, for example, boundary value problems for mixed type equations are applicable in various fields of the natural sciences: in problems of laser physics, in magneto hydrodynamics, in the theory of infinitesimal bindings of surfaces, in the theory of shells, in predicting the groundwater level, in plasma modeling, and in mathematical biology. In this paper, based on the idea of A.N. Tikhonov, the conditional correctness of …


Cosine Similarity And Its Implementation To Uzbek Language Data, S.G. Matlatipov Nov 2020

Cosine Similarity And Its Implementation To Uzbek Language Data, S.G. Matlatipov

Central Asian Problems of Modern Science and Education

In this article, it has been considered the cosine similarity and its application to search for similarities in the Uzbek language texts. The algorithm of cosine similarity has been used to determine similarity of Uzbek texts. We give the application of the program, proposed by the authors, to the texts of the educational portal ziyonet.uz dataset;


Cauchy Inequality And Its Applications, Z.Sh Ibragimov, J.U Xujamov, N.J Khujatov Oct 2020

Cauchy Inequality And Its Applications, Z.Sh Ibragimov, J.U Xujamov, N.J Khujatov

Central Asian Problems of Modern Science and Education

This paper shows the application of Cauchy inequality to some complex geometric and algebraic problems. Proof of Cauchy inequality is presented in several ways. Furthermore, the generalized Koshi inequality is fully proven.


Cauchy Inequality And Its Applications, Z.Sh Ibragimov, J.U Xujamov, N.J Khujatov Oct 2020

Cauchy Inequality And Its Applications, Z.Sh Ibragimov, J.U Xujamov, N.J Khujatov

Central Asian Problems of Modern Science and Education

This paper shows the application of Cauchy inequality to some complex geometric and algebraic problems. Proof of Cauchy inequality is presented in several ways. Furthermore, the generalized Koshi inequality is fully proven.


Numerical Solution Of Volterra Integral Equation Of The Second Kind., I.D Rakhimov Apr 2020

Numerical Solution Of Volterra Integral Equation Of The Second Kind., I.D Rakhimov

Central Asian Problems of Modern Science and Education

Problems of physics, mechanics of theoretical and practical importance are solved by the method of integral equations. Mathematical physics uses integral equations to solve problems. Therefore, it is important to find solutions to integral equations. But it is not always possible to find analytical solutions of integral equations. Thus, we study the numerical methods of integral equations. This paper shows how to find numerical solutions to Volterra equation of the second kind using the MATLAB program. The results are compared with the exact solution by using computer simulations.