Sturm separation theorem


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Sturm separation theorem

[¦stərm ‚sep·ə′rā·shən ‚thir·əm]
(mathematics)
The theorem that if u and v are 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 of u between any two zeros of v.