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The paper suggests the use of diagnostic features in the form of decomposition coefficients of biosignals statistical estimates in the normal range and in different types of pathologies obtained on the basis of a mathematical model in the form of a cyclic random process. As a criterion for choosing the necessary spectral coefficients of the biosignal decompositions in the Fourier basis set, was chosen the energy criterion. As diagnostic features, was used a such spectral coefficients that according to the Bessel i...

Recognition of the numbers is a necessary condition for the development of 3D street viewers. Using information about the position of the viewer relative to the detected site by self-driving car will make it possible to adjust the path and increase the accuracy of its implementation. The unmanned device (unmanned aerial vehicle or self-driving car) is equipped with a video camera or camcorder system. In the process of detecting house numbers, the image from the camera contains noises and redundant information. The...

The work is devoted to the development of an approach allowing us to visualize complex infrastructure networks. The results of testing various layout algorithms on the plane of the graph representing the complex infastructure network are presented. The method of automatic graph layout is offered, which allows to efficiently perform the layout of a graph of a large-scale infrastructure network. The method of clustering the graph of the infrastructure network, taking into account the strength of the branches and the...

This work initiates a study toward developing and applying computation models of cyber-physical systems on the basis of hexagonal lattice. The focus is on mathematical description of continuous population dynamics combined with dynamic logic used for discrete events. First, we introduce a class of lattice differential equations with time delay simulating interactions within hexagonal pixels. Spatial operator is modeling diffusion-like interaction between hexagonal pixels. We then use the syntax of dynamic logic to...

In the work there is offered approach to determine index of quality of city environment which is used for development of master plan of a city. As an example of application of this methodology there is considered the project of master plan of Ternopil with help of geoinformational system. Over the past two decades the cities of Ukraine are undergoing a new phase of their development, which is associated with a radical change in the economic system (the transition from the planned management to a market economy) wi...

In the work we offer an approach of the development of the web platform which could be used as prototype for software which is aimed for usage of information based on geospatial data. We consider weather information as an example of data which are connected with map information. We used Google Static Maps API and Yahoo Weather API in sample project. JSF-technology and Facelets are used for the presentation of web pages. The development of application is based on JavaBeans architecture which supports the features o...

In the work we consider the problem of optimal organization of healthcare system taking into account both map and statistical data. Map data include degrees of urbanization which classify the character of an area. This approach is based on mapping the territory by a grid square cell of 1 km2. Data about public health include research concerning spreading of basic infectious diseases and distribution of hospital system. Decision making is based on application of decision tree induction algorithm for tuples containi...

In the work we propose the model of cellular automata for predator-prey system, which is based on the system of lattice differential equations with delay. The model is based on biological assumptions for arbitrary cell. Each cell can assume a value of state in some discrete scales, which mean density of predator or prey population that the cell contain, respectively. We have some constant birthrate for prey population. Preys are neutralized by predators with some probability rate. Prey population tends to some car...

In the work we propose the model of cellular automata for predator-prey system, which is based on the system of lattice differential equations with delay. The model is based on biological assumptions for arbitrary cell. Each cell can assume a value of state in some discrete scales, which mean density of predator or prey population that the cell contain, respectively. We have some constant birthrate for prey population. Preys are neutralized by predators with some probability rate. Prey population tends to some car...