Re:Cantor function, a.k.a. devil's staircase
by p0llard on Thursday June 11, 2020 @08:24PM
(#23494675)
> it's true 100% of the time.
I don't think this is a great way of expressing it really since it's not very clear what "100% of the time" means formally; to most people (myself included), saying "100% of the time" in the context of whether a property holds over a set is to say that the property holds for all elements of the set.
This is completely different to saying it holds almost everywhere, which is to say it holds on the complement of a measure zero set.
I don't think this is a great way of expressing it really since it's not very clear what "100% of the time" means formally; to most people (myself included), saying "100% of the time" in the context of whether a property holds over a set is to say that the property holds for all elements of the set.
This is completely different to saying it holds almost everywhere, which is to say it holds on the complement of a measure zero set.