Anzeige
Erschienen in:
2009 | OriginalPaper | Buchkapitel
Determination of integer functions, when a certain number of particular values are known. Applications.
verfasst von : Prof. Robert E. Bradley, Prof. C. Edward Sandifer
Erschienen in: Cauchy’s Cours d’analyse
Verlag: Springer New York
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
[83] To determine a function when a certain number of particular values are taken to be known is what we call to
interpolate
. When it is a matter of a function of one or two variables, this function can be considered as the ordinates of a curve or of a surface, and the problem of
interpolation
consists of fixing the general value of this ordinate given a certain number of particular values, that is to say, to make the curve or the surface pass through a certain number of points. This question can be solved in an infinity of ways, and in general the problem of interpolation is indeterminate. However, the indeterminacy will cease if, to the knowledge of the particular values of the desired function, we add the expressed condition that this function be integer, and of a degree such that the number of its terms becomes precisely equal to the number of particular values given.