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Timeline for Polynomial Interpolation

Current License: CC BY-SA 4.0

30 events
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Nov 5, 2022 at 17:19 history edited The Fifth Marshal CC BY-SA 4.0
added 108 characters in body; edited tags
Jun 17, 2020 at 9:04 history edited Community Bot
Commonmark migration
Aug 2, 2016 at 20:03 answer added fpf3 timeline score: 2
Apr 12, 2015 at 16:59 history edited Martin Ender
edited tags
Apr 1, 2012 at 16:34 vote accept FUZxxl
Apr 1, 2012 at 16:34 vote accept FUZxxl
Apr 1, 2012 at 16:34
Mar 27, 2011 at 15:19 vote accept FUZxxl
Apr 1, 2012 at 16:34
Mar 22, 2011 at 8:52 comment added FUZxxl @Timwi@Eelve: Fied up the testcases
Mar 22, 2011 at 8:52 history edited FUZxxl CC BY-SA 2.5
Fied testcases
Mar 22, 2011 at 1:07 comment added Eelvex @Timwi: Ah, you're right.
Mar 22, 2011 at 0:48 comment added Timwi @Eelvex: But they don’t pass through the same points. (That is impossible because there is no degree of freedom.) For the third testcase, f(4/3) = 617/81 instead of the 617/8 given. For the second testcase, f(13) = -6 and not the -12/3 given. (I guess now we know that the test input is probably wrong, rather than the output.)
S Mar 21, 2011 at 22:29 history suggested Timwi CC BY-SA 2.5
use correct mathematical term
Mar 21, 2011 at 22:02 comment added Eelvex @Timwi: They correspond to different polynomials that pass through the same given points. eg. if f(x) = 1/2x^4 - 2x^3 + 7/4x^2 + 23/3 then f(0)=23/3, f(-5)=7367/12, etc.
Mar 21, 2011 at 21:27 comment added FUZxxl @Timwi @Elvex:Hm... That's strange. I'm going to write a reference implementation tomorrow. I obtained these values using Wolfram Alpha and ouble checked them using bc. I don't know, where the mistake is.
Mar 21, 2011 at 21:26 comment added Timwi @Eelvex: They are wrong. They are different polynomials, and they don’t interpolate the input points. In what way did you think they could be equivalent?
Mar 21, 2011 at 21:20 answer added Timwi timeline score: 3
Mar 21, 2011 at 20:33 comment added Eelvex @Timwi: They are not wrong, they are equivalent.
Mar 21, 2011 at 20:30 answer added Eelvex timeline score: 3
Mar 21, 2011 at 20:20 comment added Timwi The second testcase is also wrong. The correct answer is f(x) = -\frac{10270401}{1197278720}x^3 + \frac{17890327}{748299200}x^2 + \frac{131825777}{146009600}x - \frac{278804033}{299319680}.
Mar 21, 2011 at 20:11 comment added Timwi The output for the third testcase is wrong. The correct answer is -\frac{37745}{14592}x^4 - \frac{853249}{43776}x^3 + \frac{57809}{7296}x^2 + \frac{225205}{2736}x + \frac{23}{3}. I suspect the input was intended to be something different :)
Mar 21, 2011 at 18:09 review Suggested edits
S Mar 21, 2011 at 22:29
Mar 21, 2011 at 18:03 comment added FUZxxl @Eelvex: Nope. Fixed.
Mar 21, 2011 at 18:03 history edited FUZxxl CC BY-SA 2.5
added 119 characters in body; edited body
Mar 21, 2011 at 18:01 comment added Eelvex In the first testcase, are dots (...) really part of the input?
Mar 21, 2011 at 17:53 history tweeted twitter.com/#!/StackCodeGolf/status/49891458030911489
Mar 21, 2011 at 16:33 history edited FUZxxl CC BY-SA 2.5
added 112 characters in body
Mar 21, 2011 at 16:22 comment added FUZxxl Sorry. My english is poor. Yes, only use rational numbers. The results have to be exact.
Mar 21, 2011 at 16:21 history edited FUZxxl CC BY-SA 2.5
added 1262 characters in body; added 4 characters in body
Mar 21, 2011 at 16:17 comment added Joey Why are you talking about real numbers if all you're ever using are rational numbers?
Mar 21, 2011 at 15:56 history asked FUZxxl CC BY-SA 2.5
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