Ismailov V.
PhD student, Department of Information systems software
Dniprovsky State Technical University, Kamyanske, Ukraine
Yalova K.
PhD, Associate Professor, Department of Information Systems Applications,
University of information technology and management, Rzeszów, Polska
https://orcid.org/0000-0002-2687-5863

Abstract
The presented article is of an overview nature, the purpose of which is to describe the main methods that can be used to analyze and visualize the multidimensional and big data. Multidimensional data analysis provides a deeper and more complex analysis of the data, exploring the relationships and dependencies between different aspects of the data. There are a lot of mathematical methods, approaches and algorithms that can be used to provide the analysis of the multidimensional data. Mathematical methods and information technologies using allow to process big data and present them in a convenient form for making effective management decisions in different data domain. The results of the multidimensional data analysis also can be used to construct generalized strategies for effective decisions making process.

Keywords: intelligent analysis, mathematical methods, multidimensional data, data cube

Antonov A.
 PhD, HonDSc, HonDL, H.ProfSci
Independent researcher, Kiev, Ukraine

Abstract
The article proves that the generally accepted version of STR, which states that imaginary numbers are physically unreal, is incorrect. Experimental evidence is given of the general scientific principle of the physical reality of imaginary numbers, with the use of which a corrected version of the SRT was created. She argues that in addition to our visible universe, there are many other mutually invisible universes in nature. And they form the actually physically existing afterlife invisible world, predicted by all religions.

 Keywords:  imaginary numbers, special theory of relativity, invisible universes, afterlife invisible world

Almammadov M.
Professor, doctor of mathematical sciences
Azerbaijan State University of Economics (UNEC)
Baku, Azerbaijan

Voronov Ye.
Doctor of Technical Sciences, professor of «Informatics and Control Systems» department, Bauman Moscow State Technical University, Moscow, Russia
Repkin A.
Candidate of Technical Sciences, senior researcher of Scientific Educational Complex «Informatics and Control Systems», Bauman Moscow State Technical University, Moscow, Russia
Kuslya A.
Head of design-theoretical department of JSC «Tactical Missies Corporation», Korolyov, Moscow Oblast, Russia
Sychov S.
Deputy general designer for innovative development of JSC «Tactical Missies Corporation», Korolyov, Moscow Oblast, Russia

Abstract
The task of detection and identification of group of target dynamic objects (GTDO) objects by coordinates and type of objects for group of controlled objects (GCO) as part of the network-centric group of GWO has been considered and solved, with determination of a main object of GDTO based on parameters of detection frequency of GTDO objects for GCO and reliability of identification of GTDO objects, with formation and analysis of the detection matrix of GTDO objects from the GCO. Based on statistical modeling of the configuration of systems and the corresponding probabilities of detection and identification, the effectiveness of the developed algorithm is shown, and a multifactor analysis of the efficiency of the algorithm on various configurations of GCO and GTDO systems is carried out.

Keywords: group of controlled objects, group of target dynamic objects, network-centric control, detecting, identifying, target assignment, multifactor analysis of effectiveness.

Antonov A.
 PhD, HonDSc, HonDL, ResProf., H.ProfSci
Independent researcher, Kiev, Ukraine

Abstract
In the article it is shown that the version of the special theory of relativity (STR), stated in all textbooks of physics, is wrong as the relativistic formulas received in it are wrong, they are incorrectly with use of wrong principle of non-exceeding of speed of light are explained and from them wrong conclusions about physical unreality of imaginary numbers and also about existence in the nature of our only visible universe are made. This generally recognized version of STR is refuted experimentally proved as a result of  research of transient processes in linear electric circuits by the general scientific principle of physical reality of imaginary numbers discovered 500 years ago.

It is explained that imaginary numbers in astrophysics correspond to the world of invisible parallel universes in other dimensions. Its cognition is the task of future science. However, the neighbouring universes can be seen on the starry sky in portals now. The corrected relativistic formulas are obtained and the corrected version of STR corresponding to them is created.

Keywords:  imaginary numbers, special theory of relativity, invisible universes, hidden Multiverse, invisible Hyperverse

Qocayeva N.
Nakhchivan State University

Abstract
This study presents a comparative analysis of linear and non-linear correlation methods within statistical modeling, employing synthetic datasets to explore their effectiveness under varying data conditions. Linear correlation, quantified by Pearson’s r, was found to be more effective in homoscedastic datasets, where the variance of one variable remains constant across the range of another. In contrast, non-linear correlation methods, particularly Spearman’s rho and Kendall’s tau, exhibited superior performance in heteroscedastic datasets, characterized by varying variances and more complex relationships. The research underscores the importance of selecting the appropriate correlation analysis method based on the specific characteristics of the dataset, as the use of an unsuitable method can lead to misinterpretation of data and analytical errors. These findings advocate for a nuanced, context-specific approach to correlation analysis, especially relevant in fields where understanding variable relationships is critical. The study also highlights the potential for future research, including the application of these findings to real-world data, the exploration of more complex data structures, and the integration of machine learning techniques for advanced correlation analysis.

Keywords: Correlation Analysis, Linear and Non-Linear Models, Statistical Modeling, Homoscedasticity, Heteroscedasticity.

Hasanov A.
Doctor of Engineering, professor
Head of the Laboratory of Computer modeling of dynamic systems
Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan
https://orcid.org/0000-0001-6612-7061

Guliyeva S.
Doctor of Philosophy in Mathematics
Head of Education Department
Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan
https://orcid.org/0000-0002-4951-2926

Hasanova T.
Doctoral student of Institute of Information Technology of the Ministry of Science and Education of the Republic of Azerbaijan
https://orcid.org/0009-0004-1106-9418

Abstract
The solution of problems of filtration from channels and stream beds is considered. Depending on the geological structure of the soils in which filtration occurs, and other natural conditions (precipitation, evaporation, etc.), the problems of filtration without backwater (in homogeneous and inhomogeneous soil) from non-colmated channels and stream beds of arbitrary cross section are considered. It is assumed that the fluid is incompressible, its motion in the ground is steady and obeys Darcy’s law (linear filtration). Capillary uplift and inertial forces are not taken into account. It is also assumed that infiltration and evaporation are absent (evaporation can be considered as negative infiltration).

Keywords:  filtration from channels, heterogeneous soil, arbitrary cross section

Mammadova N.
Candidate of Physical-Mathematical Sciences, Associate Professor, Faculty of Applied Mathematics, Department of Equations of Mathematical Physics,
Baku State University, Baku

Abbasova A.
Candidate of Physical-Mathematical Sciences, Associate Professor, Faculty of Applied Mathematics, Department of Equations of Mathematical Physics,
Baku State University, Baku

Abstract
A mixed problem for the nonhomogeneous hyperbolic type of equation in wires is considered in the present paper. The boundary conditions of the problem contain differential expressions in time. The solution is constructed in the form of a complete integral residue. To find a solution to the problem, Rasulov’s residue method  was applied.

 Keywords: mixed problem, Rasulov’s residue method , pole