Re: a polynomial with positive real roots
From: *** T. Winter (***.Winter_at_cwi.nl)
Date: 01/11/05
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Date: Tue, 11 Jan 2005 13:14:48 GMT
In article <1105446081.553817.323890@f14g2000cwb.googlegroups.com> "Amanda" <sca18@hotmail.com> writes:
...
> Lucas's theorem deals only with open half planes, right? That is, it's
> proof assumes the roots of P are in an open half plane, isn't it?
But a closed half plane is the intersection of infinitely many open
half planes, so it follows that the theorem also holds for closed
half planes.
-- *** t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924131 home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~***/
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