Pustyul'ga S. Discrete determination of geometrical objects by numerical sequences.

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0506U000135

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

02-03-2006

Specialized Academic Board

Д26. 056. 06

Essay

The dissertation is devoted to creation of new geometrical theory of the discrete forming of geometrical appearances of arbitrary dimensions on geometrical interpretation of mathematical body of numerical sequences. Geometrical methods enabling to extend forming possibilities of statics-geometrical method of curve lines and surfaces on an even net are developed. The methods of forming of coefficients of finite difference equotions of all kinds of topologically correct nets for modelling of discrete determination of appearances of arbitrary dimensions oneven and uneven nets by geometrical interpretation of mathematical body of multidimensional numerical sequences or systems of sequences is developed. The methods are developed rational condensing of sites of hypergrates with the use of systems of multidimensional numerical sequences. Incucated in practice of cars and building.

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