Thiele's interpolation formula: Difference between revisions

Thiele's interpolation formula (view source)

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Revision as of 18:05, 31 July 2016 (view source) rosettacode>Gerard Schildberger m (added whitespace to the task's preamble, used a better glyph for pi, added bullet points, used a large font for the Greek and math symbols, italics, and subscripts to make them easier to read, made the rho glyph consistent as in the formulae.) ← Older edit		Revision as of 23:26, 16 September 2016 (view source) Hout (talk \| contribs) (Restored visibility for main iOS and OS X browsers by removing recently inserted redundant spaces in math tags) Newer edit →
Line 9: <big><big><math> \rho </math></big></big>   represents the   [[wp:reciprocal difference\|reciprocal difference]],   demonstrated here for reference: :: <big><big><math> \rho_1(x_0, x_1) = \frac{x_0 - x_1}{f(x_0) - f(x_1)} </math></big></big> :: <big><big><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></big></big> :: <big><big><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></big></big> Demonstrate Thiele's interpolation function by: