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Timeline for Multivariable function analysis

Current License: CC BY-SA 3.0

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Apr 28, 2015 at 9:06 history edited Leo CC BY-SA 3.0
recurrence updated
Apr 28, 2015 at 7:51 history edited Leo CC BY-SA 3.0
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Apr 28, 2015 at 7:46 comment added Leo @RobertIsrael Sorry for the inaccuracy:) $k$ is an integer less than $n$, we may suppose $k=\beta n$ with $0<\beta<1$. By "largest", I mean greatest real root.
Apr 24, 2015 at 22:59 answer added Robert Israel timeline score: 6
Apr 24, 2015 at 22:16 comment added Robert Israel Since you say "polynomial", is $k$ to be an integer $\le n$? By "largest" do you mean largest in absolute value, or greatest real root, or what?
Apr 24, 2015 at 9:36 comment added Loïc Teyssier If you differentiate with respect to $k$ the relation $f(\alpha(k))=0$ and require $\alpha'(k)=0$, you obtain $k=\frac{\ln\frac{\ln\alpha(k)}{\ln2}+n\ln\alpha(k)}{\ln\alpha(k)-\ln 2}$. Don't know if that helps, though, but it may if you have some kind of control on $\alpha$ as the largest root.
Apr 24, 2015 at 9:17 review First posts
Apr 24, 2015 at 9:37
Apr 24, 2015 at 9:13 history asked Leo CC BY-SA 3.0