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Mar 18, 2015 at 14:30 answer added Yaakov Baruch timeline score: 1
Mar 18, 2015 at 12:37 comment added Yaakov Baruch An answer to my question: if any $r$ has degree $e$ then $r^3$ and $r\big(\sum{x_i^2}\big)^e$ would have the same extreme sets, without being linearly related (in either $\mathbb{R}^n$ or $S^{n-1}$).
Mar 18, 2015 at 8:45 comment added Yaakov Baruch Do you happen to know of any examples where $p$ and $q$ are not in a linear relation?
Mar 18, 2015 at 1:19 history edited alpx CC BY-SA 3.0
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Mar 18, 2015 at 0:00 comment added alpx I've changed the question to make more sense :) This version would be helpful for me.
Mar 17, 2015 at 23:59 history edited alpx CC BY-SA 3.0
I've changed question to make more sense :)
Mar 17, 2015 at 6:50 comment added Joonas Ilmavirta A polynomial of even order can be bounded from one direction, but no nonconstant polynomial in the whole space is bounded. It would make a reasonable question to ask what is the relation of two such polynomials that reach their extremum in the same set. Would something like this work for you?
Mar 17, 2015 at 5:07 review First posts
Mar 17, 2015 at 5:12
Mar 17, 2015 at 5:03 history asked alpx CC BY-SA 3.0