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勒贝格积分
[数] lebesgue integral
- 从而使初学者能深刻地体会勒贝格积分与黎曼积分的区别，并在创新思维的培养方面受到启发。
From this, we can more profoundly read the difference between the Lebesgue's integral and Riemman's integral, and get enlightenment in creative thinking. - 为了使初学者能很好的掌握勒贝格积分，这里将讨论这三种勒贝格积分定义的特征，并给出它们之间的等价性证明。
In this paper, we will present the equivalence proof of the three definitions of Lebesgue's integral, and discuss the characteristics of the three definitions. - 方法利用勒贝格积分和傅立叶级数讨论平面区域面积变换公式和二重积分变量变换公式。
Methods By using Lebesgue integral and Fouries series, area transformation formula of planar domain and variant transformation formula of double integral are discussed.
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