An Online Display for the Study of Approximating Functions

Abstract

The method of least squares is often used to determine the arbitrary constat~s i~1 an empirical formula or approximating function. If such a function is no~ linear in its ua. kaowns, approximate vMues must first be obtained. Typically they are obtained graphicalI:. or as the result of physical supposition or similar experiment. This paper describes a program written to find first approximations for certain oscilloscope traces by: (1) displaying the trace oa a cathode-ray tube (CRT) and, (2) imposing upon it a computer generated curve which (3) employs parameters arbitrarily supplied by an operator in a quest for visual coincidence While the technique proved successful in this application, a greater value may lie it~ i~s having indicated a mechanism for further automation. In its present form the method might best be utilized as a tool for studying the behavior of selected approximating functions.