COMPOSITION SYMBOLS

A thorough analysis of the possibilities of using existing mathematical symbols in composite geometry was carried out, and a conclusion was drawn about the need to create composite symbols (composite symbols) for this purpose. It is emphasized that composite symbols are indicators of certain requirements, in symbolic form, for the formation of the current point of a composite geometric object. The notation of one-parameter, two-parameter and three-parameter composite symbols is introduced. A graphical explanation with appropriate visualization is provided for one-parameter, two-parameter, and three-parameter composite symbols with their respective binding to curved lines, surfaces, and geometric bodies. The definition and examples of symbolized composite matrices are given, and it is pointed out that operations with them are somewhat different from operations with non-symbolized composite matrices. Methods of symbolizing the extreme, in rows and columns, elements of composite matrices are established. On the example of a one-parameter compo matrix, the compositional symbolization of the current point in the vicinity of a special element of the point compo matrix, the peculiarity of which is determined by the initial conditions of the problem to be solved, is considered in detail. For this, composite symbols were defined in the form of a function, which was presented in the form of a table and in the form of a numerical composite matrix. At the same time, it is emphasized that both the argument and the function of composite symbols are natural numbers to which addition and subtraction operations are applied. In the given example of the symbolization of the current point in the vicinity of a special one, the symbolization is carried out in the parametric direction V, while it is implied that it will be similar in other parametric directions. The difference in the notation of composite symbols - constants and composite symbols - functions or functional composite symbols is shown. It is emphasized that composite symbols are indicators of the influence of adjacent points of one-parameter, two-parameter and three-parameter geometric objects on the formulation of the current point of the corresponding object. These composite symbols - indicators in abbreviated conditional records indicate the need to perform certain operations with composite point matrices or with composite matrices of geometric shapes