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Expected number of roots
( go to the article → https://www.johndcook.com/blog/2020/12/27/expected-number-of-roots/ )
Suppose you create a 100th degree polynomial by picking coefficients at random from a standard normal. How many real roots would you expect? There are 100 complex roots by the fundamental theorem of algebra, but how many would you expect to be real? A lot fewer than I would have expected. There’s a theorem due […] The post Expected number of roots first appeared on John D. Cook.
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