@MatheinBoulomenos I wish that would happen to me :P. There is an out of print book going for $400 that I want.

@MatheinBoulomenos image of polynomial is closed?

(Which is actually the same price after conversion to my AUD, but I can't find a $12 AUD analogue)

@LeakyNun okay, that works

@MatheinBoulomenos actually it isn't, but why?

you can do a compactness argument and use that $\lim_{|z|\to\infty} |f(z)|\to \infty$ as well

hmm

I know that there is a polynomial $\Bbb R^2 \to \Bbb R$ whose image is open

well, if the image of a polynomial is always closed, then you don't need to use Liouville, you can just apply the open mapping theorem

the image will be non-empty, open and closed

how do you know it is closed?

I don't know, you're the one who claimed that :P

morning

@MatheinBoulomenos you said it works :P

(it's closed anyway because it has to be total by FTA)

Any polynomial is a proper map, as they are continuous and because the preimage of a bounded set is again bounded by a simple calculation and compact = closed + bounded for $\Bbb R^n$

proper maps to a locally compact Hausdorff space are closed

so this works

But if you know that, then I'd prefer open mapping to finish the FTA proof rather than Liouville

I'm not sure if you weaken locally compact to compactly generated

Hey :)

What is the decimal representation of the p-adic 1000...000?

I think this is relatively simple geometry, but if it is possible to, what would (at least) be the first step in solving this?: media.discordapp.net/attachments/356157554516295680/…

where the problem is the length of the green

@alan2here how many zeroes are in the ellipsis?

hi! I have a question about posets. Anybody ready to help?

ok clear

@LeakyNun Aleph Null

@alan2here you can't

go learn about p-adics properly

You can have infinite rational digit sequences on either end, hence the wiki article.

*(the table at the bottom of en.m.wikipedia.org/wiki/P-adic_number#Introduction)

that isn't what it says at all

look at the table yourself

compare 1/3 to 2/3

sorry, one moment

you need to either look at the table better or look at the whole article better

there is a certain danger with learning from wikipedia

ok, your right :-\ misread, TY @LeakyNun

Dropping some ASMR truth bombs right there

You're not supposed to break them kitkats into smaller bars

@BalarkaSen Hahahaha. Did you actually watch this far through to find this, or were you linked there?