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Talk:Thiele's interpolation formula: Difference between revisions
Talk:Thiele's interpolation formula (view source)
Revision as of 00:18, 3 October 2010
, 13 years agoEton Statistical And Math Tables
(Understood, but generating the reference table isn't part of interpolation, is it?) |
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The table of (''x, sin x, cos x, tan x'') records is generated prior to any interpolation being done... Then the interpolation is used to create — user defined — ''inv sin, inv cos and inv tan'' functions. The three simple π calculations — 6 × sin<sup>-1</sup> ½, 3 × cos<sup>-1</sup> ½ and 4 × tan<sup>-1</sup> 1 — simply present/test/prove the interpolation is implemented correctly. A subsequent table of (''y, inv sin y, inv cos y, inv tan y'') records — while a bonus — is not strictly required. [[User:NevilleDNZ|NevilleDNZ]] 23:25, 2 October 2010 (UTC)
: Understood, but since the task is about interpolation, I figured that generating the initial reference table might be a spurious requirement. --[[User:Short Circuit|Michael Mol]] 23:43, 2 October 2010 (UTC)
I confess that I was trying to think of something "interesting" (yet simple) to interpolate, and recalled using interpolation to calculate inverse trig functions from high school log/trig tables[http://www.eton.co.nz/shop/Mathematics+Text+And+Homework+Books/Age+17+Alternative+Textbooks/Eton+Statistical+And+Math+Tables+%28Fourth+Edition%29.html]. Hence this unit test. What would be nice would be some "historic" interpolation, e.g. [[wp:Discovery of Neptune#Discovery Observation: September 24th 1846|Discovery of Neptune]], that would be another task in itself. The three π calculations from a generic trig table is practical. [[User:NevilleDNZ|NevilleDNZ]] 00:18, 3 October 2010 (UTC)
=== re:base indices in different dimensions ===
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