The h Bar

0celo7

23:00

\begin{align*} P(R) &= P(RR)P(R\mid RR)+P(RW)P(R\mid RW)+P(WR)P(R\mid WR)+P(WW)P(R\mid WW)\\
&=\frac{3}{4}\cdot\frac{2}{4}\cdot\frac{3}{4}+\frac{3}{4}\cdot\frac{2}{4}\cdot\frac{2}{4}+\frac{1}{4}\cdot\frac{2}{4}\cdot 1+\frac{1}{4}\cdot\frac{2}{4}\cdot\frac{3}{4}=\frac{11}{16}.
\end{align*}

words cannot contain my hate

Bernard Meurer

what the hell

ACuriousMind

@BernardMeurer I know plenty people of the bike-riding persuasion in real life - what exactly do you need?

0celo7

@BernardMeurer taking a course on axiomatic probability

Bernard Meurer

@ACuriousMind The name of a good European online bike shop :)

0celo7

walmart.de

Bernard Meurer

23:01

Good = Quality + Price ratio

ACuriousMind

That might be difficult, the students I know mostly buy used bikes from other students :D

Bernard Meurer

Tsc, bloody communists

0celo7

@ACuriousMind The trick in this course is to write "we know from set theory X" when really you just used a venn diagram to verify it :P

ACuriousMind

@0celo7 Perfectly legitimate proof technique :D

@BernardMeurer Hmm?

I don't see what's communist about buying/selling used bikes

Bernard Meurer

@ACuriousMind If someone has a nice bike they're selling I'll go pick it up in Heidelberg

@ACuriousMind That's because you're a communist

0celo7

23:03

@ACuriousMind It hurts the manufacturers.

ACuriousMind

@BernardMeurer That...makes sense

@0celo7 Uh, how is that relevant?

Bernard Meurer

@ACuriousMind If I'm making sense something is horribly wrong

0celo7

@ACuriousMind you wanted to know how it's communist.

I just told you

the worst is these problems are trivial

but there's 3 axioms you have to prove everything with ;_;

ACuriousMind

@0celo7 I see no connection with whether a certain action hurts manufactures and it being communist. Communism wouldn't have manufacturers, the means of production would be publicly owned.

0celo7

here he goes again, citing the manifesto

Bernard Meurer

23:06

@ACuriousMind Only a communist would know that!

0celo7

what a commie

Bernard Meurer

Get him!

ACuriousMind

...do you people not learn political theory in school?

0celo7

Not communism, that's for damn sure

And communism is an economic theory

@BernardMeurer I've got on my space boots

quite fre$h

Bernard Meurer

@ACuriousMind That's communism stuff

@0celo7 Those are ugly

ACuriousMind

23:07

::sighs heavily::

0celo7

@BernardMeurer no they really aren't

we should have ACM decide

Bernard Meurer

@ACuriousMind I know you vote for the Green Party

0celo7

ACM will you be our judge

I think my shift key is breaking

ACuriousMind

@BernardMeurer How would you know that?

@0celo7 I will judge whatever is brought before me

0celo7

do you want the shoe on the foot

ACuriousMind

23:11

I guesS?

Bernard Meurer

@ACuriousMind When you last voted...

I had a spy potato installed in the urn

ACuriousMind

I have screenshotted that confession. You will be arrested for violation of the confidentiality of votes the next time you cross German borders.

Also, your spy potatos need better resolution because I didn't vote Green :P

Bernard Meurer

@ACuriousMind Hahahaha, little do you know

I have replaced German police with potatos years ago

@ACuriousMind Ah, you voted AfD, I should have guessed :D

ACuriousMind

@BernardMeurer You also need to improve the part of your brain potato that's responsible for guessing, it appears.

0celo7

he voted CDU

@ACuriousMind I want to bribe you

is your QoGS hardback or paperback

ACuriousMind

23:17

paperback, why?

0celo7

I have a hardback

it's very nice

ACuriousMind

Hardbacks are just heavier to carry around

I prefer the lightweight version

0celo7

...

we would never work

ACuriousMind

Uhhhhhh

I'm afraid I have to agree with @BernardMeurer

0celo7

Fucking collusion

ACuriousMind

23:21

But we already knew our shoe tastes are incompatible, didn't we

0celo7

Mistrial!

what shoes do you like ACM

ACuriousMind

Simple leather

0celo7

pic?

ACuriousMind

I'm not putting on shoes at 1am to take a picture of them

0celo7

link

I can't believe this is happening

@ACuriousMind We would get divorced if we married

ACuriousMind

23:24

@0celo7 We had this conversation already, I don't even know what brand they are

I don't care abouit shoes, they just have to keep my feet intact

0celo7

what do you care about

ACuriousMind

I'm voting to close that question as too broad

0celo7

I vote to close your mom as too broad

did @BernardMeurer die

ACuriousMind

the potatoes probably rose up against him

0celo7

probably.

I have one more topology problem to do, ACM

it's a doozey

ACuriousMind

23:32

Or he's out wooing German girls again

0celo7

what is the closure of $\bigoplus_{n\in\Bbb N}\Bbb R$ inside of $\prod_{n\in\Bbb N}\Bbb R$ if the latter has a) the box topology, b) the product topology

@ACuriousMind How does one do this lol

the class has been trivial, these problems are all of a sudden terrible

Bernard Meurer

My Internet did

FYI o replaced my brain with an eggplant, it's more appealing to the ladies

Danu

@BernardMeurer Sure.

What's up?

Bernard Meurer

@Danu two things, one I found the weirdest classical CD in existence

ACuriousMind

@0celo7 Hm.

Bernard Meurer

23:41

Second whats a good online bike shop in the EU?

ACuriousMind

I believe it is already closed in the box topology (think about what the complement is)

Danu

@BernardMeurer You should probably go by e.g. facebook groups for local students.

ACuriousMind

and I believe it is dense in the product topology

Bernard Meurer

@Danu I'm afraid of social interaction through Facebook :/

Danu

@BernardMeurer Then get an overpriced bike :P

Bernard Meurer

23:45

Bloody hell

0celo7

@ACuriousMind how the hell do you know that

@ACuriousMind Even worse than midgets: people with beanies in 90 degree weather

ACuriousMind

@0celo7 The complement of the direct sum are all infinite sequences of reals that have infinitely many non-zero elements. This is the union of all sets of the form $\prod_{i\in(\mathbb{N} - \{n_1,\dots,n_k\})} \mathbb{R}-\{0\} \times \prod_{i \in\{n_1,\dots,n_k\}} \mathbb{R}$, and each of these is open in the box topology, so the complement is open.

For the product topology, write down any basis-open set and observe that it contains an element of the direct sum, so the direct sum is dense.

0celo7

NO

Don't tell me how to do it

ACuriousMind

In unrelated news, I see this user finally identifies as what they are :P

0celo7

I want to know how you saw it

that user is a troll?

You are aware that the potato is not the energy source of the potato clock? — Loong 2 hours ago

WHAT

@Loong EXPLAIN

ACuriousMind

23:54

@0celo7 I...saw it that way. I suspected it would be either closed or dense since the problem would be way too hard otherwise, so I looked at the complement and tried to write it as the union of open sets.

It took me a bit that's why I didn't answer immediately :P

Loong

@0celo7 and he serial-upvoted me a bit after my comment

0celo7

@Loong How is the potato not the energy source

what is?

I've seen a potato in the night sky, but sure has hell not a magical clock!

Loong

@0celo7 the oxidation of zinc

ACuriousMind

@0celo7 It's a galvanic reaction

0celo7

I don't know what that means

Where does the reaction stuff come from

Loong

23:57

Lemon battery

A lemon battery is a simple battery often made for the purpose of education. Typically, a piece of zinc metal (such as a galvanized nail) and a piece of copper (such as a penny) are inserted into a lemon and connected by wires. Power generated by reaction of the metals is used to power a small device such as a light emitting diode (LED). The lemon battery is similar to the first electrical battery invented in 1800 by Alessandro Volta, who used brine (salt water) instead of lemon juice. The lemon battery illustrates the type of chemical reaction (oxidation-reduction) that occurs in batteries. The...

dmckee

@0celo7 It's like the battery in your car. It uses hydrochloric acid to run, but the energy comes from the oxidation of lead. The acid is just a transport medium.

0celo7

Ok, so it's as I thought.

Nevermind.

I thought you were saying the potato is unnecessary.

dmckee

The potato provides a sufficiently acidic aqueous environment for transport.

Loong

@dmckee the battery in your car uses sulfuric acid ;-)

0celo7

@dmckee This is clear.

@ACuriousMind Hmm.

dmckee

23:59

Yeah. I knew that. Once. Then I got educated and my fact buffer overflowed.

0celo7

While I understand you, we haven't talked about dense sets formally.

So I'm afraid that's a lost in maths nonanswer.

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