Statement
Let be a Sturm chain, where p is a square-free polynomial, and let σ(ξ) denote the number of sign changes (ignoring zeroes) in the sequence
Sturm's theorem then states that for two real numbers a < b, the number of distinct roots of p in the half-open interval (a,b] is σ(a) − σ(b).
Read more about this topic: Sturm's Theorem
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