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Sturm's theorem English

Meaning Sturm's theorem meaning

What does Sturm's theorem mean?

Sturm's theorem

(math) A theorem expressing the number of distinct real roots of p located in an interval in terms of the number of changes of signs of the values of the Sturm sequence at the bounds of the interval. Applied to the interval of all the real numbers, it gives the total number of real roots of p.

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