Gumen E. Modelling of projective n-spaces of multiparameter technical systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0511U000881

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

27-10-2011

Specialized Academic Board

Д18.819.02

Essay

object - complex multipleparameter processes, objects and systems as corresponding rational multikinds; methods - position of analytical, affine, projective, descriptive, differential, computing and applied multivariate geometry, methods of the mathematical analysis, the theory of curves and surfaces, modern computer technologies; theoretical and practical results - are investigated properties of display of projective n-dimensional space and the detailed analysis of their structural structure, about display and about received projective space is executed; analytical, algorithmic and program formalization of geometrical models with internal projective system of coordinates is executed; scientific novelty - the device of projective coordinates of multivariate space for construction of rational curves, surfaces and multikinds of corresponding dimensions and algebraic orders is created; It is received the equations of rational multikinds with homogeneous replaceable parameters.; a degree of introduction - joint venture TzOv "Oktant", Open Society "Lvovkartonplast", Open Society "Meridian" it. S.P.Koroleova, Open Company "Технопромкомплект LTD", in educational process of faculty of welding manufacture of the Chernigov state technological university and National technical university of Ukraine "Kiev polytechnical institute"; sphere of use - development and improvement of methods of projective geometry with coordination of geometrical parameters and parameters of modelled process and the account of features of computer realization of process of modelling of technical systems and additional requirements to designing the equations of rational multikinds at growth of measurability of space.

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