The paper addresses the challenges related to the information task of an APCS used in nuclear power plants. Specifically, it discusses the development of predictive models capable of calculating technical and economic indicators, utilizing essential parameters of the power unit. The models are built by conducting a thorough analysis of wavelet decomposition coefficients, ensuring accurate approximation and detailed analysis. Additionally, the paper presents an improved algorithm for evaluating the risk potential associated with the technological process.

Proposed conceptual approach for the linguistic analysis author's text by structuring its semantic core with homogeneous and heterogeneous semantic networks, with a final synthesis based on the removal of semantic contradictions. Used semantic search and method for highlighting text topics of intellectual monitoring

We examine a model that focuses on forming an information cascade of user comments on a post within an online social network. These comments exhibit various attitudes toward a specific issue and can be categorized as positive, negative, or neutral. The probability of a user composing a comment with a particular attitude is influenced by their initial opinion and the collection of previously posted comments they encounter. The arrangement of these comments in a specific order is determined by the social network's algorithm. Through simulation modeling, this study investigates the impact of the algorithm on the properties of the resulting information cascade.

A theorem on the continuous dependence of the solution of a differential equation on the right-hand side and the boundary conditions of general form is proved.

In an airborne geophysical survey, the control of moving objects requires forming optimal program (reference) trajectories. Optimality criteria differ depending on the tasks to be performed. The most obvious criterion is the time in which an object reaches its final position from an initial position. Problems with such a criterion are known as time-optimal control problems. This paper considers two control problems of this class related to the performance of a flight task by an aircraft during an airborne geophysical survey. Such a survey is traditionally carried out along a network of parallel routes. Accordingly, the first mode is to start the next survey route. The second mode is to approach the current straight segment of the route. The corresponding time-optimal control problems are posed and solved. The resulting solutions are the reference trajectories for the start and approach modes. The solutions are formally analyzed and methods for forming optimal trajectories and the corresponding controls implementing these trajectories are described. The onboard software implementation of these algorithms is described.