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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,028 of 10,432    |
|    Axel Vogt to clicliclic@freenet.de    |
|    Re: useful to have    |
|    12 Apr 16 08:34:40    |
      From: //noreply@axelvogt.de              On 10.04.2016 23:32, clicliclic@freenet.de wrote:       >       > Axel Vogt schrieb:       >>       >> I confess that I did not try to implement the linked algorithm:       >> what does it give for the unit disk and the unit roots (I would       >> not mind if some small rotation may give difficulties) ?       >>       >       > The papers are dealing with the case of the *open* unit disc, so roots       > of unity will be counted as being outside. But there is no loss of       > generality since replacing x by 1/x in the polynomial maps the closed       > outside of the disc onto the closed disc.       >       >> BTW: one always can reduce the task to the unit disk.       >       > Yes. And one can do it symbolically, the disc center and radius then       > becoming parameters in the polynomial.       >       > Martin.       >              Hm ... x -> 1/x maps the unit circle to itself ...              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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