Natalia Andrievskaya. HYBRID INTELLIGENT MEASURE OF SEMANTIC SIMILARITY EVALUATION.

UDC 004.048 Annotation:The article deals with the problem of determining the assessment of semantic proximity between two objects on the basis of a hybrid measure.
As a result of the research, a hybrid intelligent method was developed for evaluating the semantic similarity between two objects using the semantic three-dimensional
tensor of the knowledge graph. The resulting hybrid measure includes the calculation
of semantic similarity by ontology, by semantics, from Natural Language, using Term Frequency and Cosine Similarity of context vectors. Keywords: semantic similarity, ontology, context vector, similarity measures.

S. S. Antsyferov, A. S. Sigov, K. N. Fazilova. METHODOLOGY FOR MONITORING OF NONEQUILIBRIUM-STABLE TECHNICAL SYSTEMSFUNCTIONING.

UDC 681.518.9; 621.384.3 Annotation:Algorithm for controlling the systems functioning in nonequilibrium stability mode, which is based on operations such as establishing an acceptable
range of probabilities of structural elements efficiency functioning, the establishment of valid values number of structural elements, construction of the dependence
of the system entropy from a number of structural elements and the likelihood of their effectiveness,
the construction of the phase space of the system and define the boundaries of regions of non-equilibrium stability is developed. Keywords: nonequilibrium system, cognitive system, area of nonequilibrium stability, control of functioning, phase space of functioning.

V. N. Belovodskiy, R. V. Chudin. SYMMETRIC TRANSFORMATIONS OF FRACTALS.

UDC 004.921 Annotation:Currently, fractal images are widely used in the design of computer products, printing and construction industries. The main direction of their
formation is the use of Julia, Mandelbrot or Newton fractals for specially selected functions of a complex variable. However, a person's intuitive attraction
to symmetry suggests the idea of using symmetric transformations to generate new images based on already known ones. The article discusses this approach using
the example of Koch, Dragon and Fern fractals. Their affine transformations (reflection, translation and rotation) and subsequent composition are performed.
The resulting images are presented. Keywords: Koch's curve, Dragon outline, Fern leaf, reflection, rotation, symmetry.

M. K. Galinsky, V. V. Rumyantsev, S. A. Fedorov. MATHEMATICAL MODELING OF THE STRUCTURE OF AN ELECTROMAGNETIC SPACE-TIME WAVE PACKET.

UDC 535.4+681.7 Annotation:In this work the mathematical modeling of the structure of space-time electromagnetic wave packets is presented, using the relation of spatial distributions of amplitude and phase components of wave field with group velocity. Found out correlation of width of space-time wave packet and its propagation velocity and respective pulse duration. The method allows us to explain the data of the currently available experimental works from a unified point of view and
is applicable for modeling the propagation of femtosecond laser pulses. Keywords: space-time wave packet, amplitude distribution, phase distribution, group velocity.

S. B. Ivanova, I. S. Salnikov, R. I. Salnikov. FEATURES AND RESULTS OF GROUP COMPUTER DIAGNOSTICS AND DRUG-FREE THERAPY
OF PSYCHOEMOTIONAL STATES OF THE LABOR COLLECTIVE IN THE EXPERIMENT.

UDC 159 923: 159. 942. 5 Annotation:The paper presents the results and forms of presenting information on all indicators of diagnostic tools and drug-free therapy
of the psychoemotional state of the research staff of the institute, provides the necessary comments and recommendations for organizing
and conducting diagnostic measures in the production environment of a real institution. Keywords: psychoemotional states, group diagnostics, drug-free therapy, generalized protocol conclusion.

A. V. Nicenko, V. Ju. Shelepov, S. A. Bolshakova. ON THE DISAMBIGUATION OF WORD COMBINATIONS THAT MAY BE PREDICATIVES.

UDC 004.89:004.93 Annotation:The article proposes methods for automatic disambiguation for word combinations that can act as predicatives.
The description of the corresponding algorithms is given, examples of their work are considered.
The results are implemented in experimental disambiguation software. Keywords: automatic text analysis, disambiguation methods, indivisible collocation, prepositional phrase.

O. A. Shevshuk. MATHEMATICAL MODELING OF THE STRESS-STRAIN STATE OF A BEAM WITH A DISTRIBUTED LOAD.

UDC 519.63 Annotation:The article proposes a mathematical model for calculating a beam with a single uniformly distributed load,
which is performed by approximating the numerical solution of differential equations by geometric modeling methods.
The application of this method for solving second-and fourth-order differential equations with one independent variable is considered.
It is established that the solutions of the equations by the proposed method coincide with exact solutions
with a high degree of accuracy at the level of the polynomial coefficients. Keywords: mathematical modeling, approximation, numerical solution, differential equations, stress-strain state.