Mathematics - 2017-09-05 (page 4 of 7)

Semiclassical

18:00

that's a good question :/

wow that was nonsense

I got nothing :(

LeGrandDODOM

How did Graubner solve it ? I don't think Maple or Mathematica can crunch that

Ted Shifrin

Heya Dodo !! :)

Danu

Hey Ted! :)

Ted Shifrin

@Danu: You could certainly take the hermitian-orthogonal complement of $\ell$ in $D$, but this moves us out of the algebraic category. I've never seen any such notation for that, though.

howdy @Brody — long time!

Danu

@TedShifrin It's the only non-degenerate thing around, right? So it seems the only chance at orthogonal working

Ted Shifrin

18:14

Yup.

Danu

And honestly, I have no idea what else to even think about

ALSO

OMG OMG OMG OMGOM OMG DID YOU WATCH DELPO

HOLY F*** THAT WAS AWESOME

Ted Shifrin

And you saw anon's derivation of the double cover? I am totally fluent with this analysis on $\Lambda^2 \Bbb R^4$ with the Hodge star, but never think of generalizing that.

Apparently he had a bad virus. But I'm sad that Thiem fell apart.

Danu

I saw it but I didn't follow it tbh

Thiem didn't really fall apart though... The fourth and fifth set were fiercely competitive

Ted Shifrin

It's complexifying the usual way to get $\tilde G(2,4) \cong S^2\times S^2$ in terms of eigenspaces of $\star$.

Danu

I kept screaming to my friend: JUST GIVE ME ONE FOREHAND DAMNIT (me being DelPo)

Ted Shifrin

18:16

Well, he sorta fell apart with nerves when he served for it. When he got the break points, DelPo hit two killer aces, so not his fault :P

Danu

Ah, the 5-3 in the fourth set, yeah maybe.

Ted Shifrin

Yup.

Danu

But he played some seriuosly good points in CLUTCH situations

remember that one game where he was 0-40 and had an epic point on one of them, went on to save all three?

Ted Shifrin

I think Federer's in for a struggle against DelPo.

Which he?

Brody

Hi @Ted! Good to see ya

Danu

18:17

Thiem

I hope DelPo will just be too tired to compete haha

But Federer seems pretty weak, my money's on Nadal.

I can't believe how weak the second half of the draw is

Ted Shifrin

Yup.

Danu

Kevin Anderson, honestly? Ridiculous

Carreno Busta?!

I like Schwartzmann though :)

Ted Shifrin

I think if Fed makes it through DelPo, he will totally bring it and beat Nadal.

Schwartzman is down in flames. Down 2 sets and down a break in the 3rd.

Danu

@TedShifrin Really? Hmm

Ted Shifrin

How's your math learning going, @Brody?

Danu

18:19

@TedShifrin Yeah, I know :( Sad to see because Carreno Busta is so... bland. No flavors to him :P

Ted Shifrin

Pretty cool for the US that we have 4 women in the quarters, one in each match.

LeGrandDODOM

Hey @TedShifrin !

Brody

@TedShifrin Snail's pace, but it's going

Danu

Women's tennis... Is just so weak in comparison to the men's game. I can't really bring myself to watch it without getting bored :\

Ted Shifrin

Yeah, you're definitely not going to be pushed hard where you are, @Brody.

@Danu: Careño Busta just beat Schwartzman. Done.

Danu

18:20

Where are you, Brody? :P

@TedShifrin I saw :\

Also @Brody funny you mention mastering some languages in your profile. Where are you from?

Ted Shifrin

I'm not such a snoot about the women. There are some talented hard hitters. And they're getting their heads together. And some of them play the net, too!!

He's from near where I used to be, @Danu.

Danu

@TedShifrin I love Ostapenko, becase she's approaching the pace of the men's game.

I also find her very attractive, somehow. :)

Maybe because her tennis is so nice ;D

Brody

@TedShifrin Never really thought about it but that's certainly true

Danu

Luckily you have Ted ;D

Ted Shifrin

Nah, he missed his chance to get stuck with Ted at UGA :P

But I'm still here to torture people a little.

Danu

18:23

We're all masochists here :)

Brody

@Danu currently at Kennesaw State University with the Owls, "hootie hoo" :)

Ted Shifrin

Well, @Brody, any time you wanna get back to the serious multivariable stuff, let me know :P

Trevor

@Wildcard Thank you

Ted Shifrin

Hi, DogAteMy. ... Thinking about deck/covering transformations for the Klein bottle, I saw? That's something I spent serious time on with the grad students studying for their topology qualifying exam.

Akiva Weinberger

The second person plural should be doubleyou

Danu

18:25

The Owls? lol

Brody

@Danu usually reluctant to divulge but... Russian-Asian and Latino heritage

Danu

@Brody Nice

Diverse haha

So do you speak Russian/any Asian language/Spanish/Portuguese? Or is that your goal? ;)

Brody

@Danu Diverse? Mmm not exactly. It's complicated lol

Ted Shifrin

I'm 3/4 Russian, 1/4 Polish, but my heritage didn't get me born speaking either Russian or Polish. :(

Danu

I'm currently slowly working towards some kind of understanding of Greek... Not really studying though.

Just immersing myself (or being forcefully submerged by my Greek friends haha)

Akiva Weinberger

18:28

When you say Russian-Asian do you mean like Siberian

Ted Shifrin

Not so useful for reading math journal articles, @Danu :)

Akiva Weinberger

( :P )

Ted Shifrin

DogAteMy: Maybe I need to call you Husky.

Danu

Yeah, I guess I should go for Russian. But I have to say that the Russian style of math writing does not charm me at all, as far as I can tell. At least not the research articles, I've found some OK books.

Ted Shifrin

Very little math writing charms me.

Much as I adore Blaschke, I didn't find his differential geometry book in German "charming."

Brody

18:29

@TedShifrin Yes of course! My current job situation makes it a little hard to find good self-study time, but it will come eventually

Danu

Hirzebruch <3

His lectures are so great. I love it

Ted Shifrin

@Brody: I'm here if and when you need me.

But his book style is pretty dry, @Danu.

Danu

His articles are glorious

at least the ones I've read

I haven't read the book I must admit

Silent

@TedShifrin Is this true: If $f:I \rightarrow \Bbb R$ where $I\subset \Bbb R$ is interval, is a continuous one-to -one function, then $f$ is either strictly increasing or strictly decreasing.

Danu

I really should though. Though I'm a bit afraid of it being sorta outdated.

The treatment of HRR and stuff

Ted Shifrin

18:31

@Silent: Yes, it's true.

Danu

but it probably contains a ton of beautiful ideas

Ted Shifrin

@Danu: I still love reading some of Chern's seminal works, despite modern style having obliterated his viewpoint.

Silent

@TedShifrin for any kind of interval, closed or open or half-open?

Ted Shifrin

I wish we read the original sources and classics a lot more in mathematics.

Leaky Nun

@Silent yes

Ted Shifrin

18:32

Sure, @Silent.

Silent

ok

Danu

@TedShifrin They're sadly... unreadable to me?!

I really tried for a few hours to read the one on Hermitian blahblah introducing his classes. But I found it very unrewarding :(

Ted Shifrin

Well, if Bryant and his students weren't the only ones teaching moving frames (besides me, but I don't count) ...

Danu

Yeah, that might be the problem.

Ted Shifrin

It's so much more geometric to use moving frames. I truly cannot understand why the modern world is so scared of differential forms.

Maybe in Europe there are folks using them/teaching them, but I don't know them.

@Danu: If you're going to be successful at reading Bryant, you're going to need them for that, too.

And a bit of Cartan-Kähler theory.

Brody

18:34

@Danu English and Spanish from the home. Studying Russian and Chinese (no Chinese heritage however). Greek was always a candidate for its legacy, but probably will not srsly study it

Danu

@TedShifrin I don't think so.

Actually, I have a small anecdote about it. My supervisor did a weekly "research tutorial" for his students this semsester and asked us for proposals on what to discuss. I asked about moving frames and he just laughed at me and said "well, you took a course on differential geometry right?". I still don't get the point/joke...

It was never brought up again after that. I certainly was too afraid to ask :D

Leaky Nun

It should be said here once and for all that we are going to glos over several points that some books spend pages proving, usually by complicated induction arguments broken down into many cases. For example, [...]. How do we know [...]? The student will probably say this is obvious. Some authors spend considerable effort proving this. The author tends to agree here with the student. Proofs of this sort he regards as tedious, and they have never made him more comfortable about the situation. However, the author is the first to acknowledge that he is not a great mathematician. In deference to…

Ted Shifrin

@Brody: Keep up the languages :) I learned Latin and French in high school, majored in French (essentially) and learned German and a year of Russian in college. :) Now I regret missing out on learning Spanish thoroughly.

Leaky Nun

Ch.39, A First Course In Abstract Algebra, John B. Fraleigh

Danu

@Brody Cool

Ted Shifrin

18:36

I"m not a huge fan of Fraleigh, @Leaky. Plus he once had an error and I got a rude email from a reader of his saying my algebra book was wrong because I had it right and he had it wrong :D

Leaky Nun

@TedShifrin what was the error?

Ted Shifrin

It comes late in the book. One proves that a constructible real number $\alpha$ must have degree $2^n$ (for some $n\in\Bbb N$) over $\Bbb Q$. He suggested that the converse was true. It is FALSE.

Danu

@TedShifrin Hahahaha that's the real reason you dislike the book, I'm sure :D

Ted Shifrin

There are other reasons I'm not fond of it, but there are worse choices. I don't want to think about a coherent discussion here. For strong students, I vote for Artin (at the undergrad level).

Leaky Nun

@TedShifrin I've skimmed through that chapter (and basically every chapter), wait a minute...

Ted Shifrin

18:39

Hi Demonark

It was something in an old edition, @Leaky. I'm sure it finally got corrected. I don't have any Fraleighs on my bookshelf at this point.

Daminark

Hey there!

Ted Shifrin

But I did get a rude email from someone. It was amusing.

Leaky Nun

@TedShifrin my edition is old enough (2003)

Ted Shifrin

That might not be old enough.

Leaky Nun

7th edition

Ted Shifrin

18:39

Probably not old enough.

Mine went back to the 80s, I think.

Balarka Sen

@Daminark \o

Danu

What'd you recommend for me to learn algebra from Ted?

I think I needda do it at some point

Ted Shifrin

In the early editions he did have a chapter introducing simplicial homology to show a geometric manifestation of quotient groups. That was sort of a nice idea.

Danu

nice

Ted Shifrin

Aren't you just going to take a graduate course, @Danu? And then learn commutative algebra? You need that. Modules, localization, etc.

You don't need to care about Sylow theorems (in the US Ph.D. students have to do qualifying exams, but I presume you don't).

Danu

18:41

Yeah, probably. But I actually never really learned the basics. Though I did read through 2/3's of a basic algebra book of Vinberg

@TedShifrin No, I'll have a Master's instead, thank you ;D

Ted Shifrin

I like Dummit/Foote, and it has good exercises.

In the US every Ph.D. student takes qualifying exams. MA is irrelevant.

Daminark

But Sylow is so fun!

Brody

Define $S_n=[\frac{1}{n},n]$ for $n\in\Bbb N_{\ge 1}$. Then $S_n$ under normal multiplication is not an abelian group, but rather a groupoid with commutativity?

Ted Shifrin

Group actions are terrific, Demonark, but the Sylow theorems are pretty arcane except for 5% of mathematicians.

Leaky Nun

@Brody not closed: $n^2 \notin S_n$

Danu

18:43

Group actions are 10/10

Ted Shifrin

I don't know what that notation means, @Brody.

Leaky Nun

@TedShifrin probably interval

Ted Shifrin

Oh.

Danu

@TedShifrin Yeah but I feel like that is because they have no other quality control since you can enter after the BSc.

Brody

yep, sorry

Danu

18:43

Also it's a MSc. ;)

When I want to explain something about the beauty of mathematics to laymen I usually start with group actions and symmetries of polygons

2

Brody

@LeakyNun Sorry confusing terms... groupoid i.e. not a magma = no totality

Ted Shifrin

In part, yeah, @Danu. But I like the viewpoint that you want to insure everyone has some general knowledge in analysis, algebra, topology (or different things for applied folks).

Danu

I also like that. But that's what the MSc. here does too. It's just that I don't havea MSc. in math :(

Tobias Kildetoft

@Brody A groupoid is a certain type of category

Ted Shifrin

Then closure fails immediately, yeah.

Leaky Nun

18:44

@Brody right, groupoid doesn't need closure (cc @TedShifrin)

Danu

In the math degree, you have to do analysis and algebra courses too

Ted Shifrin

OK, I'm outta here. Hi/bye, @Tobias. Oh, how is your class going?

Oh, I never remember what those things are.

Tobias Kildetoft

@TedShifrin Going alright. I think I might be going a little too fast, so I will be doing a poll tomorrow to find out

Daminark

Def: Group is a groupoid with 1 object

Ted Shifrin

What do the TAs say about the homework, @Tobias? That's what's crucial. Or do your students not have to do homework?

Leaky Nun

18:45

@Brody not associative: $n \times 1$ and $1 \times n$ are defined but not $n \times n$

Danu

Nice to have a non-math chat, Ted :)

Ted Shifrin

Good luck moving soon, @Danu!!

Tobias Kildetoft

@TedShifrin We have only had one week of exercise sessions, and they only hand in the first set of homework this week (well, some of them did last Friday), so too early to tell

Ted Shifrin

Glad you gave me an excuse to see München a little bit.

Tobias Kildetoft

But the exercises and hand-ins are the same as previous years

Danu

18:46

2 months

Ted Shifrin

Ah, so, yeah, too early, @Tobias.

2 months ... I forget how late the German schedule is.

Bye, all, for now.

Danu

@TedShifrin Yeah, it was nice to meet up :)

Leaky Nun

Ch. 32: Geometric constructions
32.1 Theorem: If $\alpha$ and $\beta$ are constructible real numbers, then so are $\alpha + \beta$, $\alpha - \beta$, $\alpha \beta$, and $\alpha/\beta$, if $\beta \ne 0$.
32.5 Corollary: The set of all constructible real numbers forms a subfield $F$ of the field of real numbers.
32.6 Theorem: The field $F$ of constructible real numbers consists precisely of all real numbers that we can obtain from $\Bbb Q$ by taking square roots of positive numbers a finite number of times and applying a finite number of field operations.

Danu

I haven't defended my thesis yet @Ted :P

Daminark

See you!

Leaky Nun

18:47

@TedShifrin probably the precursor of 32.8

@orlp hi

orlp

@LeakyNun damnit I was lurking!

:P

Brody

@LeakyNun Oh of course. True cannot imply false...

orlp

@LeakyNun will you disappear again when your college starts again? :(

Leaky Nun

@orlp not really

orlp

this is why I entered, was curious what you were talking about :)

Leaky Nun

18:51

@orlp I do frequent this room.

orlp

@LeakyNun myself I've been preoccupied with some neural network stuff lately

Leaky Nun

@orlp I see

orlp

haven't visited PPCG in a while

although I also really like a mathematical card trick I recently read

@LeakyNun maybe you can figure it out

Leaky Nun

hmm?

Mr. Xcoder

@LeakyNun Hi

Leaky Nun

18:54

@Mr.Xcoder hi

orlp

@LeakyNun You and I are partners, and you give a deck of cards to an audience member, who then hands you ANY 5 cards. You choose 4 cards of those 5 and hand them to me. We do not communicate any further than that, but we did discuss and learn the trick beforehand. I look at the 4 cards you gave me and I proceed to call out the 5th card.

How did I do that?

Leaky Nun

@orlp modulo arithmetic :)

orlp

that's too vague :P

Leaky Nun

how is it possible :o

orlp

@LeakyNun Give it some thought :)

Leaky Nun

18:56

there are 52C5 possible combinations that the audience gives you

orlp

see if you can figure it out

keep in mind that the trick needs to work with humans

Leaky Nun

you have 5C4 choices for the four cards

and I see 4 cards, which is something like 52C4

and 52C4 x 5C4 is hardly 52C5

orlp

@LeakyNun there's more to it than just the choice of cards that you give me

if the cards are ABCDE

I can give you ABCD, or BDCA, or DBEC, etc

Leaky Nun

right

but essentially you are using 4 cards to encode 5 cards

orlp

essentially I'm using 4 cards with order to encode 5 cards without order, without allowing duplicate cards

Leaky Nun

19:00

what would make it work is if ABCD and BACD are considered distinct

oh, right

orlp

we're partners after all

you can hand me the cards in whatever order you please

or you can call them out vocally

or write them on a blackboard, or whatever

El'endia Starman

Another thing I notice: you get to pick which card is the fifth, which should make it easier, I think.

orlp

yes

Mr. Xcoder

@El'endiaStarman Hi! How is Tetris going?

El'endia Starman

@Mr.Xcoder Hey, it seems like we're getting closer to having all answers written and ready to post.

Mr. Xcoder

19:04

@El'endiaStarman Good for you. Good luck! Looking forward to see the new most upvoted answers in History!

Leaky Nun

52P4 = 6497400
52C5 = 2598960

so we allow overlapping but only 2.5 cases to 1...

@orlp I swear if it is one of those algorithms with like 100 cases

orlp

@LeakyNun it's not

it's actually a fairly simple algorithm

Leaky Nun

any hints?

orlp

choose the 5th card wisely

Leaky Nun

lol you don't say

orlp

19:13

alright a stronger hint?

Leaky Nun

sure

I tried choosing the largest card but it wouldn't work

orlp

there are 4 suits, but 5 cards to choose from

Tobias Kildetoft

So if there are exactly two cards of a suit, you can pick the duplicate and leave the other at a fixed position

Leaky Nun

you can specify that the suit of the missing card is the suit of the first card

Tobias Kildetoft

In fact, you can always have the top card give the suit

orlp

19:14

@LeakyNun that could be an idea

Leaky Nun

now I have to use 4 cards to encode 13 numbers...

Tobias Kildetoft

@LeakyNun Except if you give the suit like that you can't be sure to be able to use that card for additional information

except you should probably know which of the two you would pick from any pair of values in the suit

which cuts it in half, leaving exactly 6 possibilities (i.e. $3!$)

Leaky Nun

that's interesting

Sha Vuklia

@Steamy do you know if there is any way to download a Dutch math book? I'm looking for Inleiding in de statstiek by Fetsje Bijma

Leaky Nun

but you can't just pick the smallest one, or else there would be 12 possibilities for A

Sha Vuklia

19:21

as far as I know, b-ok.org isn't of much help

Tobias Kildetoft

@LeakyNun Yeah, you need a more detailed system

orlp

@ShaVuklia al mijn boeken waren in het engels, misschien kun je het aan medestudenten vragen?

Sha Vuklia

@orlp ze kopen al hun boeken:l

de rekening was 505,- voor dit semester

likeee jesus.

orlp

although I guess we shouldn't talk dutch here, my bad :P

Sha Vuklia

lol:P

Leaky Nun

19:24

@orlp this isn't TNB

Sha Vuklia

I guess I have to buy it then:l....

orlp

@TobiasKildetoft you guys are on the right path though

SteamyRoot

@ShaVuklia Nop, Nederlandstalige boeken zijn sowieso heel moeilijk online te vinden...

Leaky Nun

"if the parity is the same, choose the smaller one; else, choose the larger one" then 1 would give you 3,5,7,9,11,13; 2 would give you 1,4,6,8,10,12

@orlp this is better

but problem is, what happens if there are three cards of the same suit

Tobias Kildetoft

@LeakyNun You ignore one of them completely

Leaky Nun

19:31

no problem, since it is just your choice

SteamyRoot

Wat een gruwelijk Nederlandse naam ook, "Fetsje Bijma" :P

Leaky Nun

@TobiasKildetoft right

German "sein" is Dutch "zijn" but "so" is "so"?

Tobias Kildetoft

@SteamyRoot Does gruwelijk mean awful (or awfully in this case?)

SteamyRoot

Yup :P

orlp

@LeakyNun sowieso is 'no matter what'

Tobias Kildetoft

19:32

very close to the Danish word for it, gruelig (except it is a somewhat old-fashioned word in Danish)

Leaky Nun

@orlp but it is so+wie+so right

orlp

@LeakyNun nope

Leaky Nun

or am I completely making it up

orlp

although the usage of sowieso here is somewhat slang

Leaky Nun

oh!

wiktionary: Borrowed from German sowieso.

that explains the lack of "z"

11 mins ago, by orlp

@ShaVuklia al mijn boeken waren in het engels, misschien kun je het aan medestudenten vragen?

also I recognize vragen might be German fragen (to ask)

orlp

19:35

yes

Leaky Nun

waren is exactly the same with German

orlp

anyway, here's how the original scheme worked

Leaky Nun

kun should be könn = can

orlp

if you order the cards like A 2 3 4 5 6 7 8 9 10 J Q K, wrapping around K back to A

and you're given two cards of the same suit

Leaky Nun

adding 13 to odd numbers

oh

you can view A as 14

orlp

19:36

you can always choose one such that the other one is at most 6 steps away

Leaky Nun

@orlp oh, that's neater

orlp

for example if you have J and 2

J - Q - K - A - 2 is 4 steps

it's modular distance, at the lack of a better word in my vocabulary

so from the 5 cards there must be a duplicate suit

you choose two cards from the duplicate suit

figure out which one comes 'first', and choose that one as your first card, and the other one as the hidden card

now all you need to do is encode up to 6 steps

Semiclassical

another way to look at it is as a graph where the nodes are the 13 cards and there's an edge between adjacent consecutive

orlp

you do that through defining an ordering on the cards, and choosing one of the 6 permutations of the three remaining cards

Tobias Kildetoft

@orlp Right, hence my referral to the $6$ being $3!$

Bubaya

19:40

@TobiasKildetoft So it seems that I'm good at causing confusion, as now with the KL polynomials. Like the last question about Stroppel's paper and parabolic subgroups, do you recall?

orlp

and if you do numbers first, suit second, and you just remember ABC = 1, ACB = 2, BAC = 3, BCA = 4, CAB = 5, CBA = 6

Semiclassical

in which case the graph is just the 13-ring and the graph diameter is 6

orlp

it's definitely doable by humans

Tobias Kildetoft

@Bubaya Yeah

Except I don't think there were any parabolic subgroups in that

Leaky Nun

people, stop the overkills :P

orlp

19:40

@LeakyNun pretty neat trick though, right?

Semiclassical

pfff. i like graphs

orlp

there's just enough freedom there to make it work consistently

Leaky Nun

@orlp indeed

orlp

however

in the case of duplicates

for example a hand with 4 of 1 suit

we have multiple possibilities of encoding a 5th hidden card

so we're definitely not using up the maximum transmission bandwidth that these constraints allow

@LeakyNun so the question is: how much information (in bits) are we actually transferring, and what would be the maximum we could transfer?

Bubaya

@TobiasKildetoft No, not that KL question, but a few weeks ago, I asked that question (2252854) about category 𝓞^𝔭, where a paper by Stroppel caused very much confusion. In the end, it was a notational issue again, but that day, it took really long to understand that.

Tobias Kildetoft

19:43

@Bubaya Ahh, I see

Bubaya

@TobiasKildetoft But thank you for being also confused!

Tobias Kildetoft

@Bubaya No problem :)

Leaky Nun

can one build an infinite word out of $a$ and $b$ not in the form $pq^3r$?

orlp

Thue–Morse sequence

In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is the binary sequence (an infinite sequence of 0s and 1s) obtained by starting with 0 and successively appending the Boolean complement of the sequence obtained thus far. The first few steps of this procedure yield the strings 0 then 01, 0110, 01101001, 0110100110010110, and so on, which are prefixes of the Thue–Morse sequence. The full sequence begins: 01101001100101101001011001101001.... (sequence A010060 in the OEIS) == Definition == There are several equivalent ways of defining the Thue–Morse sequence. === Dir...

Tobias Kildetoft

@LeakyNun You mean not containing any cube of a word?

Leaky Nun

19:52

@TobiasKildetoft right

El'endia Starman

Yeah, the Thue-Morse sequence is probably the most well-known cube-free sequence.

Leaky Nun

thanks

orlp

Kolakoski sequence

In mathematics, the Kolakoski sequence, sometimes also known as the Oldenburger-Kolakoski sequence, is an infinite sequence of symbols {1,2} that is its own run-length encoding and the prototype for an infinite family of related sequences. It was initially named after the recreational mathematician William Kolakoski (1944–97), who discussed it in 1965, but subsequent research has revealed that it first appeared in a paper by Rufus Oldenburger in 1939. == Definition of the classic Kolakoski sequence == The initial terms of the Kolakoski sequence are: 1,2,2,1,1,2,1,2,2,1,2,2,1,1,2,1,1,2,2,1,2,1,1...

Leaky Nun

thanks

Wildcard

@orlp How much could we transfer in that exact setup? Or a similar setup with no requirement that the card be guessable?

orlp

19:55

@Wildcard I'm interested in both

although the former seems a lot harder to analyse than the latter

Leaky Nun

Does real-life math chat-room exist?

orlp

@LeakyNun what do you mean with 'real-life math'?

Leaky Nun

@orlp no, real-life (math chat-room)

orlp

ah

Transcript for

$Mathematics$ Mathematics