Planar ternary ring: Difference between revisions

Latest revision as of 05:16, 13 October 2014

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-In [[mathematics]], the '''reciprocal difference''' of a [[finite sequence]] of numbers <math>(x_0, x_1, ..., x_n)</math> on a function <math>f(x)</math> is defined inductively by the following formulas:
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-:<math>\rho_1(x_0, x_1) = \frac{x_0 - x_1}{f(x_0) - f(x_1)}</math>
-:<math>\rho_2(x_0, x_1, x_2) = \frac{x_0 - x_2}{\rho_1(x_0, x_1) - \rho_1(x_1, x_2)} + f(x_1)</math>
-:<math>\rho_n(x_0,x_1,\ldots,x_n)=\frac{x_0-x_n}{\rho_{n-1}(x_0,x_1,\ldots,x_{n-1})-\rho_{n-1}(x_1,x_2,\ldots,x_n)}+\rho_{n-2}(x_1,\ldots,x_{n-1})</math>
-==See also==
-*[[divided differences]]
-==References==
-*{{MathWorld|title=Reciprocal Difference|urlname=ReciprocalDifference}}
-*{{citebook|last=Abramowitz|first=Milton|coauthor=Irene A. Stegun|title=[[Abramowitz and Stegun|Handbook of Mathematical Functions]]|origyear=1964|year=1972|publisher=Dover|edition=ninth Dover printing, tenth GPO printing|isbn=0-486-61272-4|page=878}}
-[[Category:Finite differences]]

Planar ternary ring: Difference between revisions

Latest revision as of 05:16, 13 October 2014

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