In the discipline of higher mathematics, some of the very important theorems contain the intermediate value which has been playing a vital role in these theorems.
在《高等数学》这门学科中，一些非常重要的定理都含有介值 ξ，介值 ξ在这些定理中起到很重要的作用。
Corollary of intermediate value theorem;
介值定理的推广及其应用
Proof of the second mean value theorem by intermediate value theorem;
用介值定理证明积分第二中值定理
The intermediate value theorem for discontinuous function is studied,the problem of discontinuous points when the left and right limit exists is considered by ZHU Le-min.
研究了非连续函数的介值定理,受朱乐敏等考虑的具有左、右极限存在的跳跃间断点的非连续函数的介值性定理的启发,利用上、下极限把介值定理推广到具有一般间断点的非连续函数的情况。
Generalization of weighted average intermediate theorem and its asymptotic property for intermediate point;
加权平均介值定理的推广及其介值点的渐近性