Interpolation and Smoothing of Experimental Data With Sliding Polynomials (Classic Reprint)

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Excerpt from Interpolation and Smoothing of Experimental Data With Sliding PolynomialsInterpolation is the estimation of values be tween given discrete values of a property. Some function must be assumed. This function must give values of the property dependent upon values and locations of the given discrete points. A one-to-one correspondence exists between mathematical degrees of freedom in the function and the number of given discrete points. Data points through which the function is required to pass will be called base points.In the following discussion, basic polynomial properties and the functional forms of sliding polynomials are explained. Then, the use of these concepts in interpolation is described.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.