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A comment on Is the largest root of a random polynomial more likely to be real than complex?. Parent comment

Re:Is the largest root of a random polynomial more likely to... by r0uv3n on Friday May 10, 2024 @07:26AM (#40317656)
What do you mean with reflection across the bottom/top of the curve?

With combination you presumably mean taking (polynomial+reflected polynomial)/2?

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Re:Is the largest root of a random polynomial more likely to... by LeonardoTolstoy on Friday May 10, 2024 @07:52AM (#40317830)
Ah there we go. At the very least I was only considering the subspace where the polynomial's derivative has only real roots?

Think of a simple quadratic. The reflection is across the min(f(x)) axis. But for higher order polynomials that doesn't always work so that is certainly an issue. Thanks

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