A reduce function then processes those intermediate key-value pairs, merging the values for the associated keys (see Figure 1).

然后reduce函数会处理这些中间键值对，并合并相关键的值(请参考图1)。

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This paper firstly proves R-S mean value formula for integral, and USES the supplementary function for further discussing the asymptotic property of the "intermediate point".

本文首先证明了R—S积分中值公式，并利用辅助函数进一步讨论了其“中间点”的渐近性。

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We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.

通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。

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