Shtepa N. Mathematical modelling of distribution of minerals by means of methods of interlineation and interflatation of the functions.

The dissertation is devoted working out of a new method of construction of mathematical model of three-dimensional structure of a bark of the Earth with the help data, containing in chinks of the cores, operators interlineation and interflatation functions of three variables. Theoretical bases of construction of operators interlineations of the functions of three variables which have the set traces on system of straight lines - the chinks distributed in the regular and irregular image on a surface of the Earth are developed. A lot of attention is given construction and research of operators interlineations functions of three variables on system of straight lines - the chinks distributed irregularly on a surface of the Earth, with generalized polynomial operators a spline - interlineation, piecewise-polinomial on variables x,y of the auxiliary function which parametres are functions of variable z - those depths. In work the general method of construction of mathematical model of internal structure of a bark of the Earth with the help generalizations global interpolation formulas D. Shepard and generalizations global interpolation formulas O. Lytvyn a following kind is offered: on variables x,y approaching functions are global interpolation formulas D. Shepard or global interpolation formulas O.Lytvyn with parametres which are functions of variable z - depths of a current point in a chink. For the offered theoretical results it is spent testings by means of the software package created by the author of dissertation.