Sturm separation theorem

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Sturm separation theorem [¦stərm ‚sep·ə′rā·shən ‚thir·əm]

(mathematics)

The theorem that ifuandvare real, linearly independent solutions of a second-order linear homogenous differential equation in which the coefficient of the second derivative is unity and the other two coefficients are continuous functions, then there is exactly one zero ofubetween any two zeros ofv.

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