Talk:Integral of Positive Simple Function is Increasing
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- I guess it is because Schilling speaks of "Monotonicity". But that shouldn't bother us. You're right, "Increasing" is better. — Lord_Farin (talk) 22:12, 25 September 2013 (UTC)
- Reading between the lines, does this mean that some authors (e.g. Schilling) use "monotone" to mean what we have described here as "increasing"? Our definition has "monotone" to encompass "decreasing" as well - I don't know measure theory well, but an instant's thought suggests that the concept of a "decreasing" function in measure theory may not be meaningful or useful.