AngouriMath
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RootsOf(AngouriMath.Entity,AngouriMath.Entity.Variable,PeterO.Numbers.EContext)
Method (no overloads)
Summary
The roots of polynomial in w at the precision of
context , where it is a polynomial whose coefficients are real
constants and not all of them rational,x^5 - sqrt(2) x + 1 or x^5 + pi ;
null otherwise, and where they are not settled.
constants and not all of them rational,
Remarks
The coefficients are known to the working precision and not exactly, so a repeated root
cannot be told from a cluster: perturbed by that error, a root of multiplicitym splits into m roots about its m -th root apart, and m is at most
the degreen . Approximations closer than 10^(-digits / (2 n)) are taken
not to be separated then, where a polynomial known to be square-free is held to half
the digits. And a coefficient smaller than the largest by more than half the digits may
be a zero that was not simplified to one, which as the leading coefficient would put
roots beyond any bound, so it answers nothing then.
cannot be told from a cluster: perturbed by that error, a root of multiplicity
the degree
not to be separated then, where a polynomial known to be square-free is held to half
the digits. And a coefficient smaller than the largest by more than half the digits may
be a zero that was not simplified to one, which as the leading coefficient would put
roots beyond any bound, so it answers nothing then.
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