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单词 Lebesgue Integrable
释义

Lebesgue Integrable

A real-valued function defined on the reals is called Lebesgue integrable if there exists a Sequenceof Step Functions such that the following two conditions are satisfied:

1. ,

2. for every such that .
Here, the above integral denotes the ordinary Riemann Integral. Note that this definition avoids explicit use ofthe Lebesgue Measure.

See also Integral, Lebesgue Integral, Riemann Integral, Step Function
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更新时间:2025/2/22 2:10:23