请高手将这段文字翻译成英语！！不能有错误，这是我毕业论文。感激不尽。 十万个为什么问题解答 关键词：微积分、不等式、不等式的证明。 [gap=1381]Keywords: calculus, inequalities, inequality.
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其次，拉格朗日中值定理在一些等式和不等式的证明中应用十分广泛。
Secondly, the Lagrange mean value theorem in some proof of identity and the inequality in a wide range of applications.
在分析数学中有些不等式的证明往往比较复杂，而且具体的直观含义也比较抽象。
In analysis mathematics, some identifications of inequalities are often more complicated, and concrete ocular meaning is more abstract.
文中在分析数学的几个重要不等式的证明之中引进了概率方法，取得较好的效果。
Better results are got during the course of the proofs of several inequalities in analysis mathematics by using probabilistic method.
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