Ljaskovska S. Geometrical modelling of multiparameter systems by means of drawing n - space

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U004834

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

04-11-2010

Specialized Academic Board

Д.18.819.02

Essay

Object - geometrical modelling of complex dependences of the parameters connected by the algebraic and differential equations of a condition of multipleparameter systems; the purpose - development of geometrical means of formation of varieties of covered multivariate space concerning display of phase spaces of multipleparameter technical systems of various dimension; methods - methods of applied multivariate, analytical and differential geometry, the mathematical analysis, the theory of curves and surfaces, elements computer schedules; theoretical and practical results - essential increase in number of determining parameters of models п - parametrical systems as which algorithmic base geometrical means shaping varieties of phase spaces serve, visualization of varieties n - measured spaces; scientific novelty - variants diagrams п - spaces for representation of varieties for the first time are developed at sign-variable parameters and their features shaping are determined at increase of dimension Euclids and phase spaces, the opportunity of designing of cylindrical hypersurfaces of multivariate spaces and evident images of hypercylinders is shown, geometrical representation of projective and evident images of varieties phase п - spaces is offered; a degree of introduction - it is introduced on limited company "Oktant" at designing and research of control systems pendant funicular roads and into educational process of the Lvov state university of safety of ability to live; sphere of use - new classes of multivariate phase spaces concerning research and the further thematic analysis of multipleparameter objects, processes and systems.

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