intermediate value theorem

基本解釋

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.
本文將連續(xù)函數(shù)的介值定理推廣到間斷的情況，文中的思想方法在其他領(lǐng)域如數(shù)論中也是有用的。
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.
通過巧妙地?fù)k造輔助數(shù)列，應(yīng)用致密性定理、柯西收歛準(zhǔn)則來証明閉區(qū)間上連續(xù)函數(shù)的介值性定理。
The intermediate value theorem is proved from another point of view, for the sake of enlightening creative thought of students.
從另一角度証明了中值定理，以期啓發(fā)學(xué)生的創(chuàng)造性思維。