Abstract

A quick approximate method is described for use with a calculating machine in computing a table of values of a polynomial function which itself may be an approximation to another function. Formulas are given for polynomials up to the eighth degree whereby the computation may be based either upon the coefficients of the polynomial or upon a few equally spaced values of the function. Formulas are given also for predicting the maximum deviation from the exact values of the polynomial. The method is essentially a computing routine which makes use of an arbitrarily defined array of differences and results in replacing the given curve by a series of overlapping parabolic arcs, each extending through five consecutive values of the argument.

© 1943 Optical Society of America

Final Report of the O.S.A. Subcommittee on the Spacing of the Munsell Colors*

Sidney M. Newhall, Dorothy Nickerson, and Deane B. Judd
J. Opt. Soc. Am. 33(7) 385-418 (1943)

Gaussian Optics and Gaussian Brackets*†

M. Herzberger
J. Opt. Soc. Am. 33(12) 651-655 (1943)

An Empirical Approach to Lens DesignsThe Huygens Eyepiece

W. M. Stempel
J. Opt. Soc. Am. 33(5) 278-292 (1943)

Analytical Representation of Standard Response Curves

Parry Moon and Domina Eberle Spencer
J. Opt. Soc. Am. 33(2) 89-103 (1943)

The Herschel Effect in Relation to a Critical Size of Development Centers*

G. Kornfeld and T. H. James
J. Opt. Soc. Am. 33(11) 615-618 (1943)