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Riemann's Condition

  • Definition: We say that f satisfies Riemann's condition with respect to g on [a, b] if, for every epsilon > 0, there exists partition P_epsilon, such that P finer than P_epsilon implies 0 <= U(P, f, g) - L(P, f, g) < epsilon.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

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