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The article has a relevant topic in the scientific and practical aspect development of a graphical shell of a software application for constructing functions of two variables entered by the user. The choice of the programming language and the use of the OpenGL software interface are justified. The quality of the construction of the framework of the function depending on the calculation step was investigated. A technique for calculating function coordinates for the applied software interface is proposed. The scaling of the test function and the use of GLSL geometry shaders to create lighting simulation are analyzed. The purpose of the work is to create a graphical shell of a software application for constructing functions of two variables entered by the user.

Implemented architecture using server-free functions for the analysis of the exit to the target point of the trajectory of a swarm member in conditions of dynamic loading with lower energy consumption. Using the approach, implementing the mathematical apparatus of calculating the target point and validating the output at this point, in terms of the task allows more efficient use of energy at the synchronization node by 37.5%, and since the calculations are transferred to the cloud, costs in other parts energy consumption for data transmission. This allows you to significantly continue the work of the swarm in conditions of limited energy resources and increase the flight time of the swarm. Ref. 8, pic. 5., Реалізована архітектура з використанням безсерверних функцій для аналізу виходу в цільову точку траєкторії члена рою в умовах динамічного навантаження з меншим споживанням енергії. Використання підходу, реалізаціяматематичного апарату розрахунку цільової точки та перевірки виходу в цій точці, з точки зору поставленої задачі дозволяє більш ефективно використовувати енергію на вузлі синхронізації на 37,5%, а оскільки розрахунки переносяться в хмару, витрати в інших частинах споживання енергії на передачу даних. Це дозволяє значно продовжити роботу роя в умовах обмеженості енергетичних ресурсів і збільшити час польоту роя. Бібл. 8, іл. 5.

An implemented approach using the architecture of the "Internet of Things" (IoT) [1] to solve the problem of loss of synchronization by members of the drone swarm when working out a determined flight plan at the same time. To synchronize the execution of trajectories, the proposed approach uses the analysis of telemetry data of each drone with a given discreteness as feedback swarm control. In addition, the basic requirements for the speed of feedback from drones and the impact of feedback time on the dynamics of swarm control, in general, are identified.

Тhis article deals with the problem of transferring an ordinary threechannel color vector of data into a fully connected neural network. The process of preprocessing input data is proposed, which is based on the study of color-sensitive cells and opponent cells in the structure of the human eye. The advantages and disadvantages of various color schemes are described and illustrated.

Object is a formal language for cellular automatons behavior description. The main tasks are 1) to describe variety of possible events that cell can experience in cellular automaton; 2) to define possible attributes that can cause these events (over/under population leads to death, neighboring cell has state that affects next state of current cell, etc.); 3) to describe language that describes connections between states and events. Program environment for cell automaton and conduct research on existing rules for cellular automatons are created in order to learn about events that can occur with cell and attributes of cell that can lead to these events. In this way information that is required to build terminal vocabulary of language can be found. Then main non-terminal symbol of the language must be discovered and grammar terms it consists of. Thus, grammar structure of formal language will be defined and it becomes possible to build grammar-recognizing automaton. It will provide possibility of recognizing sentences written in our informal language and interpretation of written information will become possible.

An architectural approach is considered and proposed for increasing the reliability of the communication channel, which allows guaranteeing the delivery of messages in the middle of the system from each member of the system, provided that there is an active communication channel. At the same time, the used policy of restoring the communication channel on the side of each agent implements the "circuit breaker" pattern, which allows for minimizing the time of each agent offline and avoids excessive analysis of irrelevant data of agents operating in real-time.

An analysis of the experience of reasoned use of drones in various fields of human activity and a study of approaches to reduce the time of the end user to control the end devices of the system (drones). The expediency of using the IoT architecture to increase the flight time of each end device is proved. In addition, the analysis of energy consumption in solving the problem of tracking the domain domain object, which shows the inexpediency of using two analysis algorithms, and the proposed approach "sensor cloud", which solves the problem of reducing energy consumption on end devices of architecture and increases continuous video logging. Ref. 5, pic. 5., Проведено аналіз досвіду аргументованого використання дронів в різних галузях діяльності людини та проведене дослідження підходів, що дозволяють зменшити час кінцевого користувача на керування кінцевими пристроями системи (дронами). Доведена доцільність використання архітектури ІоТ для збільшення польотно часу кожного кінцевого пристрою. Крім того, проведений аналіз енергозатрат при вирішенні задачі відслідковування объекту доменної області, який показує не доцільність використання двох алгоритмів аналізу, та запропонований підхід “хмарасенсора”, що вирішує задачу зменшення енергозатрат на кінцевих пристроях архітектури та збільшує час безперервного відео логування дії користувача. Бібл. 5, іл. 5.

The study proposes a method for objectively determining the efficiency of online learning based on quantitative data generated by users while studying at online courses. Classifications of online learning models are researched and the efficiency of 4 common models in Ukraine is evaluated.

The article provides an overview and analysis one of the approaches to train-ing a neural network model. The list of requirements for training the model was created. As the architecture of a neural network, feedforward networks (perceptron and multilayer percep-tron) were considered and a multilayer perceptron was selected. The input data for training and testing the model were information from the electricity market for one year. Each stage of building and training a model that will serve to predict data was described. The trained model was tested using the mean absolute percentage error (MAPE). Graphs and tables were built that show the dependence of the accuracy of the model on the parameters and input data dur-ing training. The results obtained can be used for practical application, in particular for pre-dicting economic indicators.