This article describes a solution for learning how to build the method of frequency characteristics of the control object. Nowadays, the level of competencies required in the work of a modern engineer is becoming higher and higher, and the more difficult it is to provide the necessary level of knowledge and skills using only the traditional approach. This problem can be solved by implementing automated learning systems that will relieve teachers, reach more students, and unify the quality of work. The subject of the research is the possibility of building a certain abstract system that will be able to provide complex skills for students in an automatic mode. The basis for this research is a complex task that requires various skills from the learner.  As a system that requires well-developed skills, we can cite the system of construction of the frequency characteristics of the control object. This work studied the methods for building such systems, as well as to study the learning ability of students and for extracting the most frequent and possible errors of students. The goal is to design and run a system that allows the student to acquire skills in constructing the frequency characteristics of an object. This work allows use of one of the possible methods for implementing such a task, as well as identifying the most common problems at the stage of learning this technique and the most successful method to prepare the system for use. In the process of the task, the following results were obtained: student errors were identified and classified. Based on the signal-parametric approach to the diagnosis of faults in dynamic systems, mathematical diagnostic models were created, that allow the system to identify classes of errors by comparing the calculation results of the student and the calculation results of the system. The peculiarities of the application of the proposed diagnostic models are presented. The intelligent tutor system is developed and used in practical classes on "Theory of automatic control" by third-year students of the National Aerospace University “Kharkiv Aviation Institute”.

This article describes the results of pre-project analysis of the subject area and proved the feasibility of automating the calculation of the nutritional value of the food diary for a healthy and fulfilling life. It is proved the relevancy of training programs automation service development considering the physiological features of the person. The existing similar software products are considered. The structure of functions of the developed service is given. The purpose of the work is automatization of keeping food and training diary, the interaction of users and trainers, as well as further development in order to implement the program in schools and universities. Tasks: development of a web application of food and training diary, which will help to automatize the process of forming the user's diet and plan the training program. However, the implementation of multi-functional web applications requires a systematic approach, which involves the definition of the necessary tools and technologies. Cost, speed and quality are the main criteria for creating and selecting tools and technologies for development. Therefore, an important task is to create a set of tools that speed up the development process without significantly reducing reliability and security. Research methods: theoretical analysis and generalization of scientific and methodological information sources and documentary materials, the survey of specialists, the study of video materials of competitive activity, testing, methods of mathematical statistics. The following results were obtained: a multifunctional web application was developed; electronic service that allows the athlete to identify the physiological characteristics of his body, to determine the required level of daily calorie intake and, based on the set purpose, to form a training program, to determine the diet and daily routine. Conclusions: the scientific novelty of the results is the following: it was created a cross-functional diary that stores the necessary information about the progress of training and food, helps to create the training program and to systematize sports activities. The given list of service functions will allow to fully demonstrate its competitive advantages, as well as to solve the problem of automatization the user's diet formation process and training program composition, considering his physiological characteristics, lifestyle and daily routine

The approach to the formalization of the generation of problem situations applicable to the development of tutoring programs consisting of many tasks is considered. The main errors arising during the software-based generation of parameters are specified. Mathematical modeling of parametrical generation algorithms examined by examples of tasks that make up complex tests on mathematics for secondary schools. The parametric generation method proposed in the article allows getting the large quantitative variations in task problem situations. Thereby, every learner will get a personal unique set of tasks. The structure and functionality of web-tests complex consisting of tasks generated via the proposed method are described. The subject of research in the article is the process of computer training in mathematics. The goal is to develop a method for task generation for mathematical disciplines. Tasks. Research and analysis of the set of mathematical problems. Parameterization of each task and development method and algorithms for automated generation parameters with the determination of incorrect combinations of parameters or problem situations that have no solution. Estimation of borders of admissible for approximate answers. Evaluation of the user solution of a single task and a sequence of tasks. The general objective of the work is to make the software product consisting of a sequence of mathematics tasks. The software should have an extended user interface for the graphical presentation of various problem situations in various mathematical topics. The program must be accessible via the Internet. The following results were obtained: developed methods and algorithms of task generation, which provide correct problem situations and unique parameter sets for each user; described the program complex structure and developed the software system of mathematical web-tests provides two levels of difficulty. Conclusion. The scientific novelty lies in the development of the method of task generation for interactive web tests on the mathematics and its computer implementation with the possibility of graphical representation of tasks and checking of tasks correctness.

This paper formulates and solves a multivariate problem related to modeling the logistics of war reserve stockpiling for successful combat operations in the armed conflict area. The relevance of the study is related to a comprehensive solution to the problem of war reserve stockpiling to fulfill the objectives of a military operation, considering the capabilities of materiel suppliers, complex logistics of war materiel transportation to armed conflict areas, and military threats arising from the martial law in the country. The study creates a set of models that allow: prioritizing war materiel types for reserve stockpiling; formulating requirements for the size of reserves; selection of a rational structure of logistics supply chain, considering the risks of military threats; ensuring the success of combat operations in the armed conflict area. The article analyzes the existing problems of war reserve stockpiling under martial law, which arose due to: the variety of war materiel; small supply batches; different materiel manufacturers and suppliers located at a great distance from the armed conflict area; heterogeneous transport environment of supply; risks associated with military threats during war materiel reserve stockpiling. A method of presenting the importance of certain war materiel types for supply to the armed conflict area is proposed, considering the combat capability of individual weapons and assessments of military experts. The requirements for the amount of war materiel reserve in the interval representation, from the minimum to the maximum value of the inventory, have been formed. The minimum war materiel reserve to be used in the armed conflict area provides the necessary parity of military forces. Simultaneously, the nature of hostilities does not change, but the risks associated with the enemy's actions to destroy the war materiel reserve (war of reserves) may manifest themselves. The maximum war materiel reserve provides confidence in achieving the objectives of a military operation in the armed conflict area, but is difficult to implement due to the limited capabilities of weapons and materiel suppliers and existing military threats. An optimization model for the war reserve stockpiling was created, considering the limited capabilities of suppliers, permissible time for reserve stockpiling, and the risks that may arise from military threats and their impact on the logistics of war materiel supply (war of logistics). An optimization model for the war reserve stockpiling was developed, considering the combat capability of certain types of weapons, which makes it possible to create asymmetry in the military parity of forces due to the increased combat characteristics of modern weapons (quality over quantity). Due to the multitude of materiel manufacturers (possible suppliers) and various variants for the formation of supply chain, the task of enumeration of possible variants for the composition and structures of the logistics supply chain for war reserve stockpiling was formed and solved. The number of warehouse variants and logistics supply chain structures is estimated using the methods of enumeration theory, and a set of variants is formed for subsequent comparison and selection of a rational option. An optimization model for the formation of logistics links in the supply chain was created to form the necessary war reserve stocks in the armed conflict area. The example of HIMARS MLRS stockpiling illustrates the effectiveness of the proposed approach for successful combat operations in the armed conflict area, using both quantitative and qualitative assessments when comparing possible stockpiling variants. The scientific novelty of the study is related to the development of a set of original optimization models, models of the variant enumeration for the structures of the logistics supply chain, which allows scientifically sound formulation of requirements for the size of the war reserve stock for successful fulfillment of the objectives of a military operation in the armed conflict area, considering the capabilities of materiel suppliers, long supply chains in a heterogeneous transport environment, short delivery time, and the risks of military threats. It is advisable to use the results of the study for planning war reserve stock, for their effective use in the combat zone, justifying the composition of materiel manufacturers and suppliers, forming a logistics supply chain, which will ensure the success of combat operations in the armed conflict area.

The article deals with the task of developing information technology for the provision of copywriting services. The topic of the article is due to the fact that any Internet resource requires the availability of relevant content for further development. An important component for information and news portals, author's blogs, online stores, corporate and personal sites are texts. The main activity of the copywriter is the writing of texts on an order, the creation of content for sites with the deduction of audience prestige, and the requirements of search engines. A review of the dynamics of changes in popularity, seasonality, growth and fail from the side of users is presented. The existing most common providers of copywriting services are considered: the stock exchange – the site of Advego, the studio of Denis Kaplunov, freelance. The advantages and disadvantages of all types of services are revealed. An overview of the most powerful and most popular free content management systems (CMS – Content management system) Joomla, WordPress, Drupal is also presented. Taking into account the obvious advantages and disadvantages of each of these systems, it is defined that CMS is most suitable for solving the tasks and is optimal for the development of the site. To search for fuzzy duplicate Web documents, it is suggested to use the shingle algorithm. The diagram of variants of using the work of providing copywriting services is developed. To support the work of the site a database model was developed. The environment, development tools, language tools and the operating modes of the site are described. The presented site allows companies to solve such issues as reducing the cost of searching for copywriters, checking their level of qualification, time spent on organizing the process, maintaining the necessary documentation, including accounting. The texts for the customer are created faster because several people can work on them and order some other additional services presented on the site. The developed site for providing copywriting services is designed for use by large and small companies, private enterprises, individual individuals and owners of Internet resources