3 ms·
I'm with this guy. Obviously I'm missing something or not understanding what is being said here, because to my head f(x) = x+1 changes every single point and is
by joebob42 5y ago
I'm with this guy. Obviously I'm missing something or not understanding what is being said here, because to my head f(x) = x+1 changes every single point and is continuous.
Or in the glass of water point, what if I pour the water out on the table. It's certainly all been moved, yes?
(To be clear I'm obviously wrong / not understanding the premise, but I would be curious to know what I'm missing)
- im3w1l 5y agoYour example function doesn't map any compact set back to itself.
- joebob42 5y agoYep. I notice mention of this additional constraint from another comment. As far as I can tell the article is just incorrect since it misses this constraint up to that point, unless I'm just a clown and somehow not seeing it. The upside here is that it seems perhaps I wasn't missing the premise, and it was just mis-stated :)
- voldacar 5y agoNo you are right, quanta sucks. Im sure there are thousands of other people thinking of x+1 and scratching their heads
- SilasX 5y agoSo add "mod p" to it.
- random314 5y agoTransformation is not continuous at the boundary p
- nonameiguess 5y agoIt only applies to functions on bounded sets. The reals are not bounded. There are other restrictions, but that is one of them.