Cauchy's theorem of the mean is proved by means of nested intervals, with Rolle's and Lagrange's theorems of the mean as its corollaries.
本文根据区间套的方法，证明柯西中值定理，而把罗尔定理和拉格朗日中值定理作为它的推论。
The purpose of this note is to point out: the principle of nested intervals is important not only in the theory of real number but for various applied problems.
区间套原理不仅在实数理论中是重要的，而且对于许多应用问题也是重要的。
The purpose of this note is to point out: the principle of nested intervals is important not only in the theory of real number but for various applied problems.
区间套原理不仅在实数理论中是重要的，而且对于许多应用问题也是重要的。
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