continuous additive interval function [计] 连续加性区间函数
Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean.
应用闭区间连续函数性质和实数连续性定理，给出证明广义中值定理的一个新思路。
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。
To construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.
给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。
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