Chapter E7: Empirical and Engineering Formulasand Criteria for Their Applicability

E7.1.1. Empirical and Engineering Formulas ◮ Preliminaries. Requirements to empirical formulas. In science and engineering applications, functional dependences are often studied experimentally. The measurement results form a finite set of points, which is usually written as in the form of a table

x1 x2 x3 . . . xn

y1 y2 y3 . . . yn (E7.1.1.1)

Here x1, x2, x3, . . . , xn are the values of the argument, and y1, y2, y3, . . . , yn are the corresponding values of the function.