Kamal' M. About a covering of one sets by others in stochastic geometry

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002257

Applicant for

Specialization

  • 01.05.01 - Теоретичні основи інформатики та кібернетики

09-09-1999

Specialized Academic Board

К 08.051.09

Essay

Problems about casual cover of some fixed sets by the other sets . To find distribution function, expectations and dispersion in some uncompleted problems about cover of one sets by others . Methods of stochastic geometry. In a thesis are found probability, expectation and dispersion for an aleatory variable describing an amount of the integer points from , which are covered by casual set , being association of two not intersected segments. The probabilities of an aleatory variable are found, describing an amount of tops of a hexagon (the square is equal 1, and the tops have the integer coordinates), which become covered by a casual circle with square equal 1. At last, the outher found asymptotic equalities for integrals describing the value of a dispersion in the tasks of covering of quadrate and a circle on a plane by casual circles of a radius . Recognition of images for prediction on problems of ecology, in problems of diagnostics and monitoring of a condition of an engineering.

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