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>> No.7992429 [View]
File: 57 KB, 2000x1500, lebesgue integral.png [View same] [iqdb] [saucenao] [google]
7992429

>>7992417
This is the analysts way of throwing out every awful function (which tend to be so obscure that not even mathematicians want to think about them) and so that their beloved definition of the Lebesgue integral won't be tainted by said awful functions stubborn unwillingness to be integrated. That's right: we're segregating functions here. Good functions go under the integral, bad functions stay the fuck away. Also, see pic related for a visualization of the contrast between the Riemann and the Lebesgue integral

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