mathematical model

Intelligent Analysis of Data Structures and Mathematical Software of Formulas Editor

This article is about determination of process of adaptation, data structure of algorithms editor. Mathematical model of data structure of algorithms editor, hierarchical-modular construction principle of editor, of adaptation process and expanding and collapsing processes were synthesized, minimized and built.

Development of Model of Integral Fire Risk Management By Correlation-Registration Analysis

This work is devoted to the construction of a mathematical model for controlling integral fire risk using correlation-regression analysis. On the basis of previous work, work is ongoing on developing a risk management method. For this purpose, the second cluster, which includes the Kharkiv region, was analyzed.

RESEARCH UNSTEADY A PRESSURE HEAD PIPE FLOW BASED ON MATHEMATICAL MODELS

The article deals with mathematical modeling of non-stationary processes non-periodic pressure of the fluid in cylindrical tubes. Based on the Navier-Stokes equations for compressible fluid withdrawn simplified equation for the case of long pipes. It is shown that modeling of single processes, these equations contain only one dimensionless parameter. Identifies conditions which may further simplify these equations to a form that does not contain a dimensionless parameter.

Evaluation of Dynamic Characteristics of DPKr-2 Diesel Train on Straight Sections of Railway Track

The increase in motion speed of the trains moving along certain routs changes the operational conditions and interaction of the rolling stock and the track, and requires the solution of important issues related to the specifications of their maintenance, since there occur additional dynamic loads.

Internet Information Retrieval, Parallel Sorting, and Rank-Order Filtering Based on Dynamical Neural Circuits of Maximal Value Signal Identification Among Discrete-Time Signals

The design of mathematical models and corresponding functional block-diagrams of discrete-time neural networks for Internet information retrieval, parallel sorting, and rankorder filtering is proposed. The networks are based on the discrete-time dynamical K-winnerstake-all (KWTA) neural circuits which can identify the K largest from N input signals, where 1£ < K N is a positive integer. Implementation prospects of the networks in an up-to date digital hardware are outlined.

Mathematical simulation of hight-temperature drying of wood

The article implemented mathematical modelling of processes of heat-mass-transfer and viscous-elastic deformation in in hygroscopic capillary-porous materials with variable anisotropic heat and mechanics characteristics what is of importance for the rational choice and substantiation of energy conservative technologies of timber drying under the conditions of necessary qualitative production providing.

The mass transfer research in complex porous media and pipelines by spectral methods

The method of solving problems of mathematical physics, in particular for pressure distribution finding in the water in the underground gas storage layers on the basis of the biorthogonal polynomials constructed by the authors is proposed in the paper.  The way of the problem solving by the method of separation of variables on the basis of the biorthogonal polynomials is studied.  The solution of the problem is found in the form of the series sum of the biorthogonal and quasi-spectral polynomials.  The comparative analysis for the different values of parameters is performed.  The impact of

Modelling of the Articulated Vehicle Dynamics Taking into Account the Elastically Fastened Freight

In this article, some methodological statements of the formation of mathematical models in the problems of machine dynamics are elucidated. The presence of a cushioned freight in the form of the fastened vehicle complicates the system, so that the equations describing its oscillations are too complicated and unsuitable for practical usage. It is shown that with all the complexity of the research object, it is expedient to form the mathematical model at the level of the design diagram (model) with a relatively small number of degrees of freedom.