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介值 [jiè zhí]
[数] intermediate value
- 给出了导数的介值定理的内容，并用不同的方法对定理进行了严格的证明。
The content of intermediate value theorem of the derivative is given and strictly proved by using various methods. - 本文将连续函数的介值定理推广到间断的情况，文中的思想方法在其他领域如数论中也是有用的。
In this paper, we generalize the intermediate value theorem from continuous to discontinuous. The method used here is also useful in other field like number theory. - 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。
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.
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