反例在可测函数中的应用

The Application of Counterexample in The Measurable Function

可测函数中的概念、定理很多,而且各个概念、定理之间的关系非常紧密、复杂,使得学习这部分内容变得更加抽象,难以理解透彻。通过构造和引入反例,可以深入浅出,有效准确地理解可测函数中的一些概念之间的关系,更加重视定理的条件和结论,能够进一步深入理解和掌握所学知识点。

There are a lot of concepts, theorems in measurable function, and the relationship between each concept, theorem is very close and complex. So this section becomes more abstract and difficult to understand. By constructing and introducing counterexamples, the relations between some concepts in the measurable function can be easily understood, and the conditions and conclusion of theorem are more valued. As a result, the learned knowledge can be further mastered.