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Date: 7-1-2016
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Date: 19-1-2019
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Date: 23-2-2019
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The root separation (or zero separation) of a polynomial with roots , , ... is defined by
There are lower bounds on how close two distinct roots of a polynomial can be. In particular, if is a squarefree polynomial of degree with discriminant , then the Mahler bound gives the minimum separation distance between any pair of roots as
REFERENCES:
Mahler, K. "An Inequality for the Discriminant of a Polynomial." Michigan Math. J. 11, 257-262, 1964.
Zippel, R. Effective Polynomial Computation. Boston, MA: Kluwer, pp. 186-187, 1993.
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