measurable function उदाहरण वाक्य
उदाहरण वाक्य
- In practice, some authors use "'measurable functions "'to refer only to real-valued measurable functions with respect to the Borel algebra.
- Then there is a measure space and a real-valued essentially bounded measurable function on and a unitary operator such that
- Similarly P _ nf converges to \ mathbb { E } f almost surely for a fixed measurable function f.
- Recall that it follows from Lusin's theorem that a Lebesgue-measurable function is approximately continuous almost everywhere ( and conversely ).
- We have defined the integral of " f " for any non-negative extended real-valued measurable function on " E ".
- In practice, some authors use "'measurable functions "'to refer only to real-valued measurable functions with respect to the Borel algebra.
- A function between two measurable spaces is called a measurable function if the preimage of every measurable set is measurable.
- I know for a bounded measurable function, they define the Lebesgue integral but never what integrable means specifically for such functions.
- In particular, the above result implies that is included in, the sumset of and in the space of all measurable functions.
- Of course, the zero " norm " is "'not "'truly a norm, because it is not Lebesgue space of measurable functions.