The article consideres family as a social community, family relationships and its role in the development of society. The article also defines typology and factors of inter-ethnic marriages, their trends and patterns.

The method of integral transformations is used to study the process of bodies heating and cooling. As a result of theoretical calculations the regime of soil freezing depending on the ambient temperature was established. Laplace transformation is practically used to determing patterns temperature of constructed concrete dams, building grounds

This article examines folklore patterns and current issues of folklore studies. Folklore has arisen in connection with public life, work and struggle of people for their independence. Lifestyle of a nation imposed an indelible mark on the ideological and artistic content of folklore of the Kazakh people. It is necessary to cultivate in children folklore patterns since infanthood.

In this article the study of knowledge control patterns in math class with the help of computer-based testing. Displaying several models of construction of test tasks . Highlight the advantages of computer-based testing. The theoretical foundations of mathematical modeling.

Main problem: Small and medium-sized businesses, as an important component of modern production, largely contributes to maintaining a competitive tone in the economy, creates a natural social support for a social structure organized on the principles of the market, and also forms a new social stratum of entrepreneurs. Since the establishment of independent Kazakhstan, the sphere of entrepreneurship has always been in the center of attention of the state, and the Strategy "Kazakhstan - 2050": the new political course of the established state, comprehensive support of entrepreneurship as the leading force of the national economy has been identified among its priority tasks. At the present stage of development, the system of state support for small and medium- sized businesses in the Republic of Kazakhstan includes a number of institutions and state programs designed to provide comprehensive support to this sector of the economy. Despite the measures taken by the state to support small and medium-sized enterprises (SMEs), the development of this area in the regions and the Republic of Kazakhstan, in general, faces a number of serious problems, including those of a systemic nature, which involves researching the state, identifying problems and determining prospects for the development of small and medium- sized businesses. Purpose: to study the state, trends and prospects of development of SMEs in Pavlodar region, to identify and describe the problems of organizing the activities of entrepreneurs in the region. Methods: the state of entrepreneurial activity in the region is analyzed in the context of the main socially significant indicators of its development, the main trends and patterns of development of the SME sphere are identified and the reasons that form them are substantiated. As one of the tools for identifying and substantiating the reasons hindering the development of entrepreneurial activity, the study conducted a survey of entrepreneurs to identify the problems of SMEs in the region. Results and their significance: Based on the results of the study, a range of priority problems of SMEs in the region was determined, an assessment of their correlation with similar problems of the SME sector of the Republic of Kazakhstan was given, and a range of basic expectations of entrepreneurs in the context of government measures to support their development was outlined.

The article examines the state and directions of development of modern Kazakh lexicography. The goals, objectives and possibilities of modern branches of lexicography are determined; the scientific-theoretical and practical foundations of compiling dictionaries are described. The development of the theory and practice of lexicography is due to such needs as the recognition of lexicography as a separate area of linguistics, the development of a theoretical basis for the creation of dictionaries, a general typology of dictionaries, the definition of the macro - and microstructure of dictionaries. Therefore, the purpose of this article is to summarize the experience of Kazakh lexicography, to identify its general theoretical problems, directions of development, to show its place in linguistic science. The study used a descriptive method, analysis and synthesis methods. A brief overview of scientific works is made, which study general theoretical and practical problems of Kazakh lexicography, research on the history of Kazakh lexicography, as well as works that consider the experience and scientific foundations of compiling dictionaries. The authors note the importance of the theory of lexicography in creating dictionaries, improving their quality, choosing the basic principles when sorting vocabulary units in a dictionary, the peculiarities of their functioning, the quantitative and qualitative composition of linguistic units to be included in the corresponding type of dictionary according to the subject of research, denote the theoretical and practical problems of Kazakh lexicography, scientific and theoretical foundations for creating dictionaries of the Kazakh language, determine the scientific, theoretical and practically applied aspects of modern lexicography as a science of language. Pointing to the importance of studying the scientific foundations of compiling dictionaries, their composition and structural features, both from a purely scientific point of view, and from the point of view of the implementation of state programs aimed at the development of the Kazakh language, the authors of the article conclude that the patterns and quality of compiling dictionaries directly depend on the basic functions of the language in modern society. The state of affairs in modern lexicography makes it possible to talk about the allocation of general lexicography, which studies the properties inherent in any dictionary, and particular sections of lexicography (educational, terminological, onomastic, etc.). General lexicography should establish common (or statistically dominant) features of all dictionaries using typology, as well as explore the general patterns of functioning and use of dictionaries. Private lexicography should contain sections that study the internal structure of this type of dictionary and methods for its creation; history of this type of dictionary; purpose and addressee of this type of dictionary. Therefore, experts in the field of lexicography believe that the prospects for the further development of lexicography are seen in the improvement of existing and creation of new types of dictionaries, the emergence of complex dictionaries and the computerization of lexicographic activities.

The main problem: The rheological properties of calcium salts are of theoretical and practical interest for a modern researcher. The theoretical interest is primarily related to the search for general patterns and manifestations of the rheological properties of solutions of calcium salts. The practical component is based on the search for patterns and dependencies of the properties of solutions on the structure and composition of the object of study. Such chemicals as calcium salts are of particular practical interest, they are widely used in various fields, such as the food, chemical and pharmacological industries. Hydrophilic high-molecular solutions of alginates, namely calcium alginate, are actively used in the preparation of soft dosage forms, the manufacture of jelly masses in confectionery, act as thickeners in the food industry. They are characterized by a fairly high percentage of viscosity at low concentrations, bioavailability, prolonging effect, absence of irritating properties, biocompatibility with many polymers, which is especially important in the pharmaceutical industry and medicine. The use of calcium salts for these purposes is currently very promising, since these organic salts have a number of unique properties associated with gelation. Purpose: This paper contains the results of studying the features of the rheology of calcium alginate solutions. A concentration range of 0.1-0.7 % was chosen for the studies, which is sufficient to avoid gelation at room temperature. The dependence of viscosity on concentration, temperature (in the range of 25-45 °C) and shear rate were studied. Methods: Analysis of theoretical sources, observation, comparison of results. The rheological characteristics of the obtained substances were studied using a capillary viscometer. The measurements were carried out in the temperature range of 25-45°C. Results and their significance: it was found that there is a significant dependence of viscosity on concentration and temperature. For concentrations of 0.3 – 0.7 %, a similar type of dependence is observed, in contrast to solutions with a concentration of 0.1 % . Explanations of these dependencies were proposed.

The securities market is the most important instrument for financing and developing the economy of any state, including Kazakhstan. The main problem is to attract investments for enterprises in all sectors of the economy, as well as to ensure that enterprises have access to cheaper equity than bank loans. Purpose to identify the main trends in the development of the domestic securities market, to assess the level of its profitability. The article emphasizes the role of the securities market as the most important mechanism for the redistribution of funds between sectors of the economy. The securities market, as an integral part of the financial market, is gaining especially growing importance in the economy of Kazakhstan, as well as in the economy of the entire world community. When writing the article, traditional methods (comparison, description, and measurement), general logical methods and research techniques (analysis, generalization, etc.) were used. The article discusses the main theoretical approaches to determining the essence of the analyzed concept, attempts are made to formulate the main problems in the securities market, presents the results of the analysis of data characterizing the current state of the stock market of Kazakhstan. In essence, the securities market is a macroeconomic regulator of the state, through which opportunities are created to attract foreign and domestic capital. Thus, the securities market as an effective tool for attracting capital contributes to solving socio-economic problems. The author notes that the main theories about the state of the stock market are characterized by a superficial approach, as evidenced by the fact that none of them considers the internal structure of the stock market, which is the main tool for determining the patterns of changes in the value of financial instruments. It should also be noted that the choice of theory depends entirely on the perception and opinion of the relevant analyst. Singling out one theory as the only and most acceptable one would be wrong.

The concept of resilience, the ability to withstand crises and adversities and recover from them, has valuable potential for research, intervention and preventive approaches aimed at strengthening the family. There are many paths to relationship resilience, varying depending on different forms of family, psychosocial problems, resources and constraints. Shared beliefs that promote alignment and cooperation are vital to overcoming adversity. Measures to increase the resilience of families are of timely importance to overcome the rapid social changes and uncertainties that families face today. According to research by sociologists and family consultants, each family goes through several stages of development, and the transition from one to another is usually accompanied by a crisis. It is generally believed that domestic difficulties lead to complications in family life, first of all. The purpose is to identify the types of problems and causes leading to crisis situations in marriage. In this regard, the methods such as analysis of literary sources on this topic, generalization, synthesis, psychological experiment, diagnosis of the psychology of family crisis by H.I. Olioirovia, T.A. Zinkevii-Kuzemkin, T.F. Velenta were used. The authors of the article come to the conclusion that stress is a part of life, and the slings and arrows of misfortune hit all families throughout their lives. The concept of family resilience confirms the reparative potential of all families and offers a valuable basis for research and clinical practice. Just as families face a variety of challenges, there are many ways to increase family resilience. By understanding key processes, clinicians can mobilize untapped resources, allowing families in distress to cope with difficulties more effectively and recover through their mutual support and cooperation. Therefore, it is necessary to understand the patterns of crisis situations and the socio-psychological causes of their occurrence.

Market transformations in the Republic of Kazakhstan and in the regions have entered a phase of intensification: management systems and resource allocation have been fully improved, the institution of public-private property has been formed, the main market mechanisms of economic regulation have been put into effect. The mechanism of self-development of the market as a whole is gradually being launched, small business is becoming crucial. It is free entrepreneurship that is designed to intensify the further economic recovery in the regions of the Republic of Kazakhstan. Balanced and progressive development of small business involves the development of infrastructure that stimulates the activity of its development and requires the transformation of the mechanisms and format of integration of the sphere of small and large business, as one of the fundamental factors of balanced development of small business in the leading sectors of the economy. In the Republic of Kazakhstan, the support of the small business sector is one of the strategic priorities of its development. However, despite the measures taken by the state to provide support to small businesses, the dynamics of needs and industry-specific features of the development of the market of goods and services make their own adjustments to regional trends in the development of small business, forming an industry and structural imbalance in the development of small business, which requires consideration and clarification of their content. Purpose is to study the state and trends of small business development as a factor affecting the efficiency of the economy and social stability of the population. The analysis of small business development in the article is implemented on the basis of the information and statistical base of the Republic of Kazakhstan in the context of identifying trends and patterns of its development; identification, generalization and justification of the reasons for their formative and institutional approaches to their regulation. In particular, the analysis in the study is based on the materials of statistical reviews and their analysis using methods of grouping, generalization, logical analysis, system description and interpretation. The range of main directions and trends in the development of small entrepreneurship in the Republic of Kazakhstan has been studied and determined, their effectiveness has been assessed and tools to support the balanced development of small business have been proposed.

Main problem: the globalization of the information sphere has led to a significant increase in the volume of stored and processed information. To increase the processing speed and provide information to the recipient, it is logical to increase the power of the equipment on which the information is processed. But such a path also leads to an increase in financial costs for continuous modernization or complete updating of computer equipment and application software. Purpose: an alternative solution to increasing the capacity of hardware and software may be to optimize the process of organizing data storage, and already at the stage of information analysis. At the initial stages of the task, a huge amount of information is collected and processed, which needs to be classified, to identify essential and non-essential information flows for the information system being developed, etc. The quality of functioning of the developed information system as a whole and its individual modules in particular will depend on how correctly and fully the structuring and systematization of data will be carried out. Methods: modern methodologies of conceptual design of information systems shift the emphasis from software implementation to analysis and modeling of the production environment. The tools used in the process of conceptual modeling allow you to automate the main part of the processes, including the development of program code in the format of templates (patterns), including the preparation of documentation for the software product being developed. Since modern methodologies and tools are based on the use of powerful graphical tools, this significantly increases the visibility and simplifies the process of making adjustments to the information system project, actually using the "Drag-and-Drop" technology. This allows you to redistribute the time spent on the implementation of the first stages of information system development, allocating more time to the analysis and design of the software environment at an abstract, conceptual level. Results and their significance: the stages of analysis and design do not require large financial costs and are more variable. Information at these stages is easier to adjust and change than, for example, at the stage of writing program code. In addition, it is at these stages that the most active interaction between the developer and the customer is carried out, where maximum visibility and variability of the project of the future information system is required. And the use of modern software design methodologies significantly increases the efficiency of the first stages of information system design.

Main problem: digital transformation of Kazakhstan’s society leads to emergence of new communication business models, including the so-called proactive data-based service, which implies expansion of communication contact between the state, business and society. Digital transformation of economic sectors and the service sector has objectively caused discussion of issues related to various aspects of its implementation. These include digitalization of society spheres within framework of public administration [1], problems of interaction between business and government [2], mechanisms of interaction between subjects in the private-public partnership model of government and business [3], description of communication models of business types, government and public sector [4], history of emergence of electronic trade, its forms and types of goods delivery to a consumer [5], organizational and managerial relations and processes arising in enterprises, working in field of online marketing and e-commerce [6]. In Kazakhstan, digitalization of spheres and the economy sectors is one of strategic priorities of its development. Use of information and communication technologies in the service sector creates additional impulses to its dynamics, therefore, has impact on improving population’s life quality. In this regard, it is necessary to identify trends and patterns of communication interaction between the state, business and society, to consider and clarify their content. The purpose: the research of state and trends in the development of Kazakhstan service sector under the influence of digital solutions and expansion of communicative contact between the state, business and society. Methods: the performed analysis in the research is based on the materials of the statistical reviews and their analysis using the methods of grouping, generalization, logical analysis, system description and interpretation. Results and their value: a range of the key problems of communication interaction between the state, business and society is investigated and determined. Recommendations are proposed to accelerate the development of e-commerce in Kazakhstan as a tool for communication interaction between business and society and improving population’s life quality.