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讨论了黎曼引理对无界且可积和绝对可积函数是否成立的问题．给出了一个黎曼引理不成立的反例．并给出了一个新的黎曼引理．
We discuss the Riemannian lemmas for unbounded and integrable and absolutely integrable functions. A counterexample that does not hold for Lemma Riemann is given. And a new Riemann lemma is given.