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Feb 3, 2022 at 19:03 history closed ABB
user44191
Daniele Tampieri
Alec Rhea
LeechLattice
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Jan 25, 2022 at 17:53 comment added Fedor Petrov Of course they exist: there exist some polynomials with prescribed values, among them there is a polynomial of minimal degree. Maybe you wanted to ask something different?
Jan 25, 2022 at 17:49 answer added Iosif Pinelis timeline score: 2
Jan 25, 2022 at 15:54 comment added Peter Taylor This is clearly impossible unless all the $x_i$ are distinct and all the $y_i$ are distinct, in which case $$P_i(x, y) = \frac{\prod_{j \neq i}(x - x_i)(y - y_i)}{\prod_{j \neq i}(x_j - x_i)(y_j - y_i)}$$ Have I misunderstood something?
Jan 25, 2022 at 15:22 review Close votes
Feb 3, 2022 at 19:03
Jan 25, 2022 at 14:55 history asked ABB CC BY-SA 4.0