Розробка узагальненої техніки алгебраїчного формування Б-функцій для чотирьох точок

Abstract

The article proposed algebraic technique of forming B-functions (Balyuba functions) Pito four points, in general, ie for all possible parameter values from 0 to 1 for the two points B and C, which are within the segment AD. A technique of finding of correlation coefficients B-functions Piis proposed. An example of using generalized forming technique of B-functions Piwas shown. The application of the mathematical apparatus of the Balyuba-Naidysh point calculus for the modeling of multifactor processes is considered. In particular, we consider a method for constructing parabolic response surfaces on the basis of B-functions in point calculus. The authors take as a basis the scheme for constructing a second-order parabola in the point calculus. Researches of the properties of the function-parameters on the examples of constructing the curve from four points showed that the B-functions can also be obtained algebraically for the purpose of constructing models of multifactorial processes.