serious-discussion

[odd narwhal]

is that a thing

[narrow rock]

yes

[odd narwhal]

do you just

ask?

[bronze pelican]

yeah you should ask them to see if you qualify for a fee wavier

[brave hollow]

air superiority is always the answer

[latent forge]

Yes fee waiver

I hope I qualify since I already qualified for full financial aid

Im sure as hell not spending 1k on grad apps

Thats like 1/8th my savings

[somber hinge]

How much time on average would it take to work through spivaks's calculus

[torn willow]

Probably like 2 months,ig

[deep mango]

For some schools I was able to get a waiver because I did an NSF funded REU

So check into that

Sort of weird that that's an option

[sharp mulch]

This discriminates against people who didn't do nsf funded reus

[deep mango]

Well most of the programs on the lists of programs they give waivers for are like

Actual programs that warrant it

Which serve underrepresented groups

And then just randomly NSF funded REU is on some of these lists

[sharp mulch]

[somber hinge]

Have you solved that book?

[odd narwhal]

this discriminates against people too lazy to google what nsf funded reu is

[astral marsh]

Yo I did 400lbs leg press @iron osprey

I thought my 1RM would be like 330

Nope, 400 was like my 4RM I'd judge from the 2 reps I did

I didn't think my quad strength would have held up that much during my 2y break

Well shit I guess that means I was way undershooting my target weight for 8*4 lmao

SHIT

I finished my 8*4 on 300 and then I tried as many 400 reps as possible, somehow got 10 actual ones off

[iron osprey]

i once gained 180lbs on my leg press in a single week

[astral marsh]

Jesús christ lmao

I think it's a matter of me not realizing how hard I can push myself

If you played league, it's whats3referred to as limit testing

[grim token]

https://cdn.discordapp.com/attachments/778943214262550579/804780287707447346/66a1d4d.gif

[sharp mulch]

That's so mean

Why are you so mean

[cold needle]

animel abuse

[thorn brook]

wait, does the orbit space contain sets or just points?

[errant kiln]

orbit space?

[thorn brook]

my book says that it is a set of all orbits, and an orbit is G.x = {g.x | g \in G}. Does this mean that the orbit space contains all G.x or just all g.x?

[light needle]

the orbits partition the set right

the orbit space is the set of all orbits

its the set of all classes G.x

[thorn brook]

okay so it is a set that contains sets?

Just to make sure

[light needle]

basically

[nimble shuttle]

it's the set of G.x for all x

[light needle]

similar to how a quotient group

is a set of cosets

(which are sets)

[thorn brook]

ohhh

lmao

okay great! Thank you so much!

yooo the homology section looks so scary. There's a lot of big diagrams

[light needle]

homology is p fun

i think i wasnt a big fan of hatchers presentation of it

hopefully I like dieck's presentation better

[thorn brook]

yeah I'm really hyped for that part since it sounds fun but it also looks really hard lmao

[blazing pawn]

Its arguably a lot easier to digest than the pi_1 stuff

the only bad part is like

long combinatorial arguments

[light needle]

the simplicial = singular homo used like

euclidean geo

very

[blazing pawn]

Yea its not pleasant

[wheat yacht]

suggestions for websites for stoks bigginers?

[leaden torrent]

stocks or stokes?

[sharp mulch]

Lol

[stone valve]

stokie

[narrow rock]

stonks

[hollow ginkgo]

Ever just find something that ends up on Wikipedia?

https://en.m.wikipedia.org/wiki/4_21_polytope

[narrow rock]

Dischiliahectohexaconta-myriaheptachiliadiacosioctaconta-zetton

[hollow ginkgo]

‘Cause found the rectified version’s coordinates!

[hollow ginkgo]

A rather short name, as far as polytopes go.

Case in point: Triacontasnub triacontakismyriaheptachiliadiacosioctaconta-dischiliahectohexacontakisdiacositetraconta-zetton

[whole copper]

how prove there are no n-manifolds X such that X minus two points is (n-1)-simply connected?

is not true?

(why are there no spaces with -2 holes)

[blazing pawn]

huh

[sharp mulch]

[vivid halo]

I don't know what you mean by "-2 holes"

like an "n-hole" should be something that witnesses a nonzero n-th Betti number, all negative Betti numbers are zero since ordinary cohomology vanishes in negative degree

[whole copper]

I just meant formally what I asked, no n-manifolds X such that X minus two points is (n-1)-simply connected?

I can prove n = 2, and I think maybe n=3, but no idea about general

probably some long exact sequence somewhere...

[vivid halo]

yea my thought would be to use a long exact sequence in relative homology

[whole copper]

im being a bit of a doodoo-head by asking for (n-1)-simply connected, but the homology stuff doesn't necessarily prove triviality of the corresponding homotopy right? like by hurewicz or whatever u only get like "one of the homotopy groups", but not all of them?

[modest rune]

If you are simply connected then the first nonzero homology is the first nonzero homotopy

[whole copper]

wait yeah oops

I think somehow I tricked myself into thinking since its only the bottom one thats guarenteed to match, that it doesnt work.. or something

[deep mango]

i really like guillemin and pollack

it's a good book for your level

[slim meadow]

If you're interested in number theory, you could try reading Cox's primes of the form x² + ny²

[sick burrow]

What would you say is the result in math that's most poorly explained by popmath

That isn't the incompleteness theorem

[rose dock]

1 + 2 + 3 + ...

[light needle]

1+2+.. = -1/12

[sick burrow]

Oh right that

[light needle]

lol

[sick burrow]

Too obvious

Probably even beats incompleteness

Ok quotient that out too

[rose dock]

Remember that 1 - 1 + 1 - 1 + ... = 0.5 because that's the average

[narrow rock]

you get 0 if you do that

[sick burrow]

The rest of popmath is well explained?

I don't buy it

[narrow rock]

yes

vacuosly

[sick burrow]

ohh wait I think I know what it is

P vs NP

[narrow rock]

ah yes

no more encryption

[sick burrow]

I mean

Would a efficient polynomial time algorithm for factorization not break a lot of encryption

Like P probably doesn't equal NP

[narrow rock]

P = NP wouldnt necessarily help you find an explicit algorithm

[sick burrow]

And if it did the proof might not be constructive yeah

And if it was the coefficients might be massive

Or constant terms

Like I have a constant time algorithm to factor numbers

Find every prime smaller than Graham's number and check all their products

If one of them happens to be the number you're trying to factor, save that in memory but don't stop

It's constant time because the number of steps doesn't depend on the input and it'll factor any number humans will realistically ever deal with

There I cracked RSA now where's my commutative division rings medal

[icy forge]

It doesn't matter if it's within polynomial space. Have you tried any polynomial algorithm with n > 10^9 and polynomial degree >5?

[cold needle]

kicked keswel

lol

[torn willow]

Can you also purge that message

[cold needle]

sure

[astral marsh]

lol @blazing pawn

what is this ad

[cold needle]

are you gay???

[pale orchid]

smh those ads

the answer is clear from the vod roght below

(im joking)

[limber perch]

ruthless edd

[scenic narwhal]

vod roght below

[pale orchid]

yeah i dont use my phone much

always make lots of typos

[timid spindle]

pi hole + blockada + ad away + yt vanced + sponsorblock .

[scenic narwhal]

Isn't adaway enough

I just use that

[odd narwhal]

My girlfriend did not think the fundamental group of the circle is cool, should I break up?

[pale orchid]

i do agree you should break up, but separating from your left hand is difficult

[odd narwhal]

I'm right handed tyvm

Fr tho it's kind of a bummer when your partner doesn't find one of your.main passions exciting

[pale orchid]

on a more serious note, you don't have to share all interests or be the same person. as long as, within reason, they can respect and appreciate that you find it exciting. what you consider a deal-breaker is your own thing tho

[odd narwhal]

Obviously, but it's still a bit of a bummer

Def not a dealbreaker we've been together for almost 2 years

But part of being in a relationship is also sometimes listening to your partner ramble about their interests

Which tbf she does

Still would've been nice if she shared a bit of my excitement tho yaknow

[pale orchid]

that/if they cares at all about math, that's already a small percentage of people

arguably your odds are overall better if it's someone you meet in your own study program, but i don't think that's how it goes for many people

[chilly smelt]

Maybe you’re just a terrible communicator and can’t convey why it’s cool

[elfin ridge]

Tbh I invited my gf to this server just to look at me shitpost sometimes

[pale orchid]

but only sometimes

the rest of the time you're not posting

[inner finch]

lol

[terse flax]

snore

[sick burrow]

Just explain to her how all sets are uncountable

[hollow ginkgo]

What is the index of a sublattice?

I’m confused about this because if one lattice contains another, it should do so in infinitely many distinct ways.

[obtuse fjord]

Does anyone have experience interning while doing their PhD?

[sharp mulch]

Like

During the school year?

Or during the summers?

[obtuse fjord]

During the year

[sharp mulch]

You'll also be in the UK right

[obtuse fjord]

Yep

[sharp mulch]

@sleek wing is from the UK I think

[sleek wing]

good evening, I'm not doing a PhD atm so I can't help unfortunately

[obtuse fjord]

There's a few places in London looking for interns that are very close to my intended research area

[neat lintel]

Wait what happened to the shit about phd programs you were going through?

Like a school said they'd take back their PhD offer or something right?

[obtuse fjord]

I accepted the offer from Oxford and managed to get through the hoops needed

It was just that I had to ace all of my final semester courses and only learned that halfway through the semester, but I managed to come out on top

[neat lintel]

Ah, that is good to hear

[sharp mulch]

[obtuse fjord]

It made for a pretty insane finals week 😅

But anyway, there's some drug/cancer research institutes in London looking for people working in DL and I'd like to apply, but I'm afraid of waay overdoing it during my first year

[sharp mulch]

You don't want to wait a year?

[obtuse fjord]

That'd be ideal

But completely honest, I'm going to struggle to survive financially 😅

[sharp mulch]

Oh do they not give a good stipend

You could probably tutor and charge rich kids like 50 pounds/hour

[obtuse fjord]

They gave an alright one, but I couldn't afford the NHS payment up front and had to have part of my stipend expedited, which will make it tight

[sharp mulch]

Tutoring is also more flexible than an actual job right

[obtuse fjord]

You're probably right, although I'm not so sure what mechanism is best for that. Online the rates for tutoring are significantly cheaper than 50 pounds/hour

[neat lintel]

what is the best way to get started with tutoring?

[sleek wing]

holy shit I might start tutoring that's insane money

[obtuse fjord]

I think for that amount you really need an in with wealthy people

[neat lintel]

But Dr wew, are you an oxford student/oxford graduate?

i will quit tutoring eventually when i lose my interest in it

[sleek wing]

I'm at a top 10 UK uni at least

*fivtehy

[deep mango]

I could probably charge 80 buckaroonies here in the US of A.

As a PhD student.

People charge a lot more than that too

and get away with it

[sleek wing]

that's about 50 quid

[neat lintel]

,w buckaroonie

[fathom swallow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by 88ddda#7872

[sleek wing]

,w buckaroonie to quid exchange rate

[fathom swallow]

Wolfram Alpha doesn't understand your query!
Perhaps try rephrasing your question?
Click here to refine your query online

Requested by Wew Lads Tbh#0864

[deep mango]

Yes. I am charging in units of cowboys.

That will be 3 cowboy harems please.

[nimble shuttle]

If ryc were a tutor he would secretly sabotage his student's understanding so he kept getting paid

[limber perch]

if ryc were a doctor he would…

[neat lintel]

if i was their student i'd rather get detention

What?? Ryc is truly an unethical monster??

[odd narwhal]

https://youtu.be/MADvxFXWvwE

[sharp mulch]

Wait doesn't oxford have lots of rich kids

[sleek wing]

yes

[neat lintel]

yes

[deep mango]

For the record RYC tutored someone to a 5 on ap physics

and charged like what

30 bucks an hour?

[sharp mulch]

At least in Berkeley

[deep mango]

and no, that is not an invitation for people to ask me for tutoring

[sharp mulch]

Grad students charge like

50-80 dollars/hour

80 USD = 50 GBP roughly

[cold needle]

can you tutor me in analysis ryc

[deep mango]

no

[sharp mulch]

And Berkeley isn't even that rich of a school

[cold needle]

worth a shot

[deep mango]

ange, it's a big school

the people who get tutoring are the rich kids

[sharp mulch]

It doesn't have a reputation for having rich kids

Like say, USC does

[icy forge]

80 USD/hr for tutoring
Education is for the rich, so join the rich and not eat the rich is the theme here?

[deep mango]

no

[icy forge]

What about teaching Timmy to teach me how to conduct insider trading and getting away with it

[odd narwhal]

What does a 5 mean

Ah

I'm considering offering tutoring for 1st years but it's a pretty competitive market

[neat lintel]

im going to tutor the 4th years here who dont know what a direct product is

[sick burrow]

4th year in highschool or college

[neat lintel]

latter

[sick burrow]

bruh

it's just a direct sum

[neat lintel]

this is obvious hyperbole

[sick burrow]

behaves differently for infinite products but we all know infinity doesn't exist

[neat lintel]

someone asked what the notation $\bZ^r$ meant once in algebra and i've twisted it to mean "what is a direct product"

[sick burrow]

or am I just pepega

[fathom swallow]

TTerra

[neat lintel]

or direct sum

whatever

[cold needle]

Direct Operation.

[neat lintel]

direct sum is different for infinite products in that all but finitely many entries vanish

[sick burrow]

right

[cold needle]

direct quotient

[sick burrow]

but there is no such thing as a "finite" set

[cold needle]

idk im bored

pain

sorry

[sick burrow]

actually wait finite sets not existing would mean the direct sum is just bad for infinite sums

[neat lintel]

[last oxide]

[neat lintel]

direct sums having this property ensures something like Hom(direct sum, B) = product Hom(summands, B)

i do not remember

(for abelian groups)

someone please correct me

[deep mango]

indirect product.

[neat lintel]

[light needle]

this is true in R-mod in general iirc

[neat lintel]

coproducts

[bronze pelican]

What is the group of automorphisms of a complete graph on n verticies?

Is it S_n?

I can have any permutation of the verticies, right?

Yes

[light needle]

automorphism of a graph with only simple eigenvalues is an abelian 2-group

[last oxide]

well
graphs model networks
netoworks model the real world
the real world is not simple - einstein or smth
therefore

[bronze pelican]

Aff(F)

Affine transformations of the field F

Let F be a finite field

https://en.m.wikipedia.org/wiki/Affine_group

Okay so start with a Riemann sphere P^1(C) and ask for a compact connected Riemann surface Y with a holomorphic map Y -> P^1(C) such that the automorphism group Aut(Y/P^1(C)) is Aff(F_p)

Can I construct Y so that it has p branch points, each lying over the same ramified point in P^1(C), and each of ramification index p-1?

Moreover, this this case, does there exists a complete graph on p verticies embedded in Y with the verticies being those p branch points?

[limber perch]

can you tutor me abstract algebra from the textbook Contemporary Abstract Algebra by Gallian

I’ve heard a lot of great things about it

[toxic schooner]

why did u sully this rice?

[odd narwhal]

All groups are abelian

[ancient flame]

all abelians are groups

[thorn brook]

all are groups abelian

[odd narwhal]

all grapes are abelian

[hollow ginkgo]

And all polytopes are convex

[thorn brook]

Wait is that actually true or is there some counter example?

It feels true

Like generally

“All polytopes are convex”

[icy forge]

If you define your polytopes to be convex, sure

I'm pretty sure there is at least one book with that kind of definition

[thorn brook]

Oh yeah, they can be higher dimensional lmao

[icy forge]

It's not dimensionality that breaks convexity

[thorn brook]

Oh

[icy forge]

Which is still star-convex

But actually I never found anyone using star convexity to do anything useful

[odd narwhal]

honestly i'd be worried if toki didn't know what convexity was considering how far into hatcher they are

[icy forge]

It's the middle ground of this all the way to non-convexity

[thorn brook]

I’m not even that far lmao

[odd narwhal]

I know

but you got to homology

[thorn brook]

I’m still at chapter 1

[odd narwhal]

so you should know what a convex set is

[untold sapphire]

star convexity is useful for establishing basic facts about singular homology

[odd narwhal]

doesn't hatcher start with simplical homology? so convexity is pretty important

[thorn brook]

No, Hatcher starts with like deformation retractions

[odd narwhal]

I meant in homology

[thorn brook]

Oh I don’t know, might be true

Hatcher starts with the letters A, B, C

[hollow ginkgo]

Counterexample: antiparallelogram

My nickname is another counterexample.

[deep mango]

Meme book (bad)

[terse flax]

Bradhleigh (derogatory)

[hollow ginkgo]

After looking up star-convexity, polytopes actually don’t even have to satisfy it, either.

In fact, polytopes don’t even have to have a well-defined interior or boundary.

[deep mango]

Is "polytope" just your word for "simplicial complex"

[hollow ginkgo]

No

A polytope is an abstract polytope or compound with vertex coordinates.

[deep mango]

A polytope is a polytope

[hollow ginkgo]

Yes

Not sure what that’s supposed to mean

[somber kite]

I’m curious. Does the name Embi mean anything to people in this server?

[cold needle]

oh no

[somber kite]

(If so, I’m sorry)

[cold needle]

lets not

[somber kite]

Ok

lol I figured I might get that

That’s all I need to hear lol

[cold needle]

sorry but now i have to keep an eye on you

ok looks like ur good

[somber kite]

:(

[cold needle]

nvm

sorry for the scare

im just

yeah

sorry

[somber kite]

Embi Alts are pretty easy to spot lol

[cold needle]

i was so scared they evolved

just now

but yeah

ur right

[somber kite]

No there’s no way. I don’t think he’ll ever change

[narrow rock]

whats embi

[rose dock]

Lmao

[somber kite]

Don’t worry about it :)

You’re better off not knowing

[rose dock]

My DNA ordinal is something something matrix thing fast growing sequence

[somber kite]

I have a copy of the book he was writing lol. He planned to sell that

[rose dock]

He has a book?

Or is writing a book?

[somber kite]

Yep. It’s a Google doc

I think it’s finished

Anyway, sorry for bringing up he-who-must-not-be-named :P turns out he’s more infamous than I thought

[deep mango]

Hey metal next time don't scare Embi off

Give us a few hours of entertainment

[cold needle]

lollll

[somber kite]

D:

[somber kite]

if you want that, just join Embi’s server

[cold needle]

cult

it must be some kind of crazy cult

scary

[somber kite]

Not really. I think everyone else in the server knows he’s insane

[narrow rock]

what is it called

[somber kite]

They’re just there to laugh at him

[narrow rock]

O

rip

[somber kite]

Lemongrass Central

His main account got banned from discord, so he started using weird names

[cold needle]

yes

[broken scaffold]

should i google embi

[sharp mulch]

Emerging markets balanced index or something

[broken scaffold]

bond

[sharp mulch]

Ah bond index

Ok

I really should call Chase and set up a managed investment account

Sigh

[deep mango]

Wow. How do I have one of those before you.

oh right my grandparents passed away

I really need to figure out how all of that works and make sure things are set right

[sharp mulch]

I mean

I have a Fidelity professional managed account

But you don't want to put all your eggs into one basket right

[deep mango]

Yes, that is what I have

I was going to put all my eggs in that basket

[broken scaffold]

So is THIS THE BRAGGING SERVER, I JUST JOIN AND ASK A QUESTION AND NOT A SINGLE COMMENT?

[sick burrow]

[sharp mulch]

Yes

I've had the Fidelity account for a while

But they don't do good credit cards

Whereas Chase does

So I want rewards

[whole copper]

credit card bad

[sharp mulch]

Do you use a debit card for everything

[devout nacelle]

Do you not

[sharp mulch]

I use a credit card for everything

So I get rewards

Yes lol

Get reimbursed for hotel + food + flights

Have a credit card that gives extra rewards for travel and dining

Lots of points

Double up on points earning with loyalty programs

[toxic schooner]

the book seemed fine to me tho (even tho i havent completely read it ofc)

oh there was a discussion sometime ago about this, wasnt there?

[limber perch]

yea the book seemed fine to me too

ryc just spreading lies as usual

[toxic schooner]

[timid spindle]

is proof by statistics a valid proof?

are there proofing tactics that involve statistics?

[scenic narwhal]

Depends on what you're trying to prove

If you are proving that there are 2 people in my bedroom rn then yeah that's a statistic I suppose

😌

[timid spindle]

umm I am not sure.

[timid spindle]

oh. I see

[inner finch]

mirza and herself

[scenic narwhal]

But if you are proving that all numbers have some property then no

[timid spindle]

So solving questions and stuff is basically statistical proofs?

[scenic narwhal]

Wtf you doing in my bedroom Mirza wtf

[inner finch]

[neat lintel]

I think that’s only statistical by a technicality

[scenic narwhal]

How about "average height of a human is more than 4 feet"

[neat lintel]

I guess statistical proofs would be used for questions of a statistical nature

[timid spindle]

acha. I guess you can't generalize measurements.

[inner finch]

breaking news: you have to do statistics to answer questions about statistics

[neat lintel]

But even then that’s almost impossible to prove unless you go out and measure enoughh people

[timid spindle]

I wish

[scenic narwhal]

There are probabilistic proofs of existence of certain structures though

[timid spindle]

well it's not a strong proof though.
If all rooms had 2 people I'd be convinced that your room have 2 people as well.
you could be lying. That's the problem with statistical proofs.

[inner finch]

yeah but those say things about probabilities

[scenic narwhal]

No I'm saying the proof is that I see 2 people here

[neat lintel]

I dont see em

[scenic narwhal]

Why do I care about other rooms

[inner finch]

i might be in them

[neat lintel]

My dick is 9 feet. Proof: trust me bro

[timid spindle]

oh I get the point. I was think of something else

[scenic narwhal]

So for example if you want to show that a graph exists which has both property P and property Q, then you can show that as you take bigger and bigger graphs, the probability that a graph has property P tends to 2/3, and the same for property Q. Then you immediately know that there exists a graph with both properties

[timid spindle]

that's over mean + 4 standard deviations so "probably" false.

[neat lintel]

What can I say

I exceed expectations

[neat lintel]

That’s pretty cool actually

[inner finch]

pretty sus i might say

[timid spindle]

I am familiar with such proofs. Thanks for bringing it up. We studied it in urban planning smh.

[scenic narwhal]

Ye this is one of the few cool things I remember from my probability course

Though I don't remember what P and Q were in that case

[scenic narwhal]

Bruh

Didn't know urban planning was based

[inner finch]

P = is there a person, Q = is named mirza

[timid spindle]

not exactly a proofing technique but yeah

[timid spindle]

yeah it's full for graphs and you have to about it

[scenic narwhal]

rip

[summer nest]

As the count of numbers go to infinity, percentage of perfect squares go to zero.

Does it mean there are statistically 0% of perfect squares in real numbers?

Wait did I explain that right?

[vivid halo]

Well any set of rational numbers is going to have measure 0 in the reals; among the naturals, perfect squares appear with probability 0 asymptotically

[distant vortex]

WHO MOLDI? YOU JUST ADMIT IT RIGHT HERE. SHAMELESS.

[velvet dagger]

nG if I take a measure supported on the perfect squares...

[scenic narwhal]

why is it shameless to share bedroom with my brother

[distant vortex]

I SEE

Context was needed

[vast surge]

I mean I would be ashamed if I shared a bedroom with my brother.

[olive karma]

what happens when you want to being someone over for, you know, "chess"

[scenic narwhal]

I have many problems, that is not one of them

[serene tangle]

After 19 years, I still do 😔.

[neat lintel]

I just looked at the 3x+1 problem and saw that there are semiloops that leads to a closed loop. There are certain numbers that have a straight path to the 4,2,1 loop.

[torn willow]

https://tenor.com/view/ah-shit-here-we-go-again-ah-shit-cj-gta-gta-san-andreas-gif-13933485

[neat lintel]

1,5,7,341,1349

Those are what I found

[atomic cypress]

Is the 3x + 1 problem the one where you try to compute 3x + 1 for various values of x

[neat lintel]

Yesss

Or you start with a number, if it's odd you multiply by three and add one. If its even you divide it

And if you continue you will end up in a loop

4,2,1

[leaden torrent]

you missed the joke bud

anyway, this is... incredibly well-known

like its the first thing you notice when you plug in numbers

[timid spindle]

umm yeah you did. nope. I am a statis-thiest now.

[leaden torrent]

the second thing you notice is that powers of 2 trivially collapse to 1

[timid spindle]

Thank you ❤️ I've started bits of it

[vast surge]

Yes this is it.

Anyway @neat lintel a basic problem relating to the 3x+1 is to prove that all positive numbers end up in the 4,2,1 loop. So try working on that for a bit.

[atomic cypress]

Hard problem, I'll have to learn multiplication first.

[neat lintel]

Yeah I was just trying to figure out which numbers leads to power of 2 numbers. And then which leads to those and so on. Probably nothing new, just want try it out.

[forest jackal]

wow, that is cool. you should talk with @velvet dagger about this, he is an expert in this problem.

[vast surge]

Have fun! Be sure to regularly tell us about your progress.

[leaden torrent]

yeah keep us posted with every number you plug in

really curious what happens to 314988813240956423

[atomic cypress]

wow, that is cool. you should talk with @velvet dagger about this, he is an expert in this problem.

I heard @velvet dagger is an expert in arithmetic, can anyone else confirm?

[leaden torrent]

no, shockingly that sequence diverges.

in fact, 2 and 4 arent even in it

[olive karma]

no 2 and 4 are odd

duh

https://tenor.com/view/stupid-lookup-idiot-eyeroll-dumb-gif-17515120

[supple merlin]

still here just learning set and group theory

[analog salmon]

someone finally answered my question on math stackexchange after I asked it on July 21st

god bless

[odd narwhal]

Damn

I find I either get answers in 10 mins or not at all

[analog salmon]

it had 6 upvotes but no comments or answers until today

and 100+ views

[latent forge]

post question

[analog salmon]

https://math.stackexchange.com/questions/4204081/whats-the-proper-way-to-take-a-groebner-basis-with-respect-to-a-quotient-polyno/4214185#4214185

[odd narwhal]

Damn that's a detailed respobse

[crystal stream]

i'm more curious if one can generalize 3x + 1

like idunno

in finite fields or something

[odd narwhal]

What's with all the collatz talk recently

Is it cuz of the veritasium vid?

[neat lintel]

There have been a few people coming in and talking about it

[analog salmon]

send help

[crystal stream]

i mentioned it because someone did just a few minutes ago

so it's kinda of like a domino effect

[blazing pawn]

Why is everyone a computational algebraic geometer now

[analog salmon]

I just want to compare knot invariants

[odd narwhal]

Is resident collatz crank #562 still here?

[blazing pawn]

someone should stage an intervention to get these ppl the help that they clearly need

[crystal stream]

[odd narwhal]

Imagine being computational anything

[crystal stream]

this tbh

[analog salmon]

I spent weeks coding up this nice algorithm to compute an invariant for 2-knots in 4-space, but I can't easily compare them without making a groebner basis

[sharp mulch]

Nonlinear algebra is very important

If only it were better though

[thorn brook]

Hmm when does a space $X$ have a simply connected covering? I've heard that the space must be path connected, locally path connected and semilocally path connected, but isn't semilocally path connected enough? Like if you have a covering $p: \tilde{X} \to X$ then every $x \in X$ has a nbh $U$ that is evenly covered by $p$. Each loop in $U$ lifts to a loop in $\tilde{U}$. Now if $pi_1(\tilde{X}) = 0$, then this lifted loop is nullhomotopic in $\tilde{X}$. So now just "project" this loop down to $U$ and this loop is now nullhomotpic in $X$. So if we want that $pi_1(\tilde{X}) = 0$, then the semilocally path connected criterion is only needed, right?

[fathom swallow]

Tokidoki ✓

[whole copper]

oh wow I acrtually saw this question, was thinking about answering it; then realised I deleted sage from my laptop because it was taking up too much space - booted up macaulay2, and I think it was giving the same outputs, but then just gave up because at the end of the day im very not confident in my algebra skills anyway

[crystal stream]

after studying topology for 2 weeks I can almost understand this

[thorn brook]

sorry, let me ask this in the appropriate channel lmao

[analog salmon]

same, that's why I asked* it lol

I die a little inside every time I read "path connected, locally path connected, and semilocally path connected"

[whole copper]

yeah cant we all just say "nice enough spaces have universal covers" 😢

[analog salmon]

thats the one unfortunate thing about math, the nicer something is to work with, the worse its name is

[odd narwhal]

the awful thing is that none of these properties imply each other

[odd narwhal]

who's the first person that calculated pi_1(S^1)?

[thorn brook]

me 😎

[odd narwhal]

@thorn brook how does hatcher prove it

[thorn brook]

yeah he does

[odd narwhal]

how

like what method

[thorn brook]

I mean that he proves that pi_1(S¹) = Z

[odd narwhal]

does he do the winding number and lifting shit?

[thorn brook]

He uses covers I believe

[odd narwhal]

ah

[vivid halo]

wait sorry

[odd narwhal]

Rotman proves the fundmental theorem of algebra from pi_1(S^1)=Z

[thorn brook]

yeah I think that he does this

[vivid halo]

the computation is just an explicit computation with covers and winding number

[odd narwhal]

maybe if I had learned about covers it would've been a bit simpler

[narrow rock]

hurewicz

[odd narwhal]

like this just looks so convoluted without that notion

[vivid halo]

yea lol

you need to know what covers are to make sense of the proof

[odd narwhal]

I understood the proof completely but I could not replicate it for the life of me

also the notion of liftings kinda came out of nowhere

but uh, I guess that's done with

I think he talks about covers in the future

so it'll probably make more sense then

[vivid halo]

May's Concise has a nicer proof

it's still effectively the same proof, with covers

[thorn brook]

You can also prove this with deck transformations I think, but it's essentially the same idea with covers I think

[vivid halo]

yea same proof

[odd narwhal]

I haven't done complex anal yet so the winding number analogy went completely over my head

[vivid halo]

there's a more elegant proof that uses more category theory but

[odd narwhal]

but it wasn't really needed for the proof

[vivid halo]

that's silly

[odd narwhal]

lmao

[narrow rock]

hurewicz is the best proof

[vivid halo]

lol

[ancient flame]

complex anal

;)

[thorn brook]

using like the van Kampen thing for fundamental groupoids?

[vivid halo]

yea

if you know how to compute pushouts of groupoids it's immediate lol

• prove Van Kampen

[thorn brook]

yeah that's completely over my head lmao, i'm not that cat brained yet

[odd narwhal]

well that's done with, onto homology!

[vivid halo]

lol

[narrow rock]

[odd narwhal]

ye he does the fundamental group and then jumps to homology for the next chapter

[vivid halo]

compute π_1 of a genus g surface with n punctures

[odd narwhal]

I'd rather not tyvm

[vivid halo]

you should probably do this before moving onto homology

[ancient flame]

railed

[odd narwhal]

I'll do the exercises that rotman tells me

He hasn't even defined genus yet

[vivid halo]

number of donut holes

[thorn brook]

Hatcher doesn't define that either lmao

[vivid halo]

I guess once you get to Van Kampen it's a good example to do

[odd narwhal]

dw he has a lot of exercises i'm sure he's building up to that kind of stuff

like his exercises are usually very constructive in how they lead you to discover the smaller results for yourself

[analog salmon]

so does munkres

[odd narwhal]

I tried munkres AT but it was just sooo dry

[thorn brook]

oh yeah lmao, I completely forgot about Munkres

[analog salmon]

munkres topology does the fundamental theorem of algebra

oh wait

[odd narwhal]

ah it does?

[analog salmon]

sorry, he uses it to prove that every polynomial equation has at least one root

[thorn brook]

Munkres has so many nice figures tho

[analog salmon]

I love flipping through random books and looking at diagrams without any context

https://cdn.discordapp.com/attachments/708983902659805254/822971622209880064/unknown.png

I can't even remember what book this was from

[odd narwhal]

lmao

yea ok rotman teases that we're gonna see coverings and generalise the computations of the fund. group

[analog salmon]

https://cdn.discordapp.com/attachments/801951132217245717/848304267130568774/unknown.png

knot diagrams can get absurdly cluttered sometimes

[thorn brook]

wait so that is some knot theory diagram thing?

or am I misinterpreting?

[ancient flame]

I just started learning knot theory!

yay

[analog salmon]

knot theory gang

[ancient flame]

pog

[thorn brook]

how is knot theory? Is it interesting and fun or is AT "better"?

[ancient flame]

idk about AT but so far knot theory seems interesting

I can share the playlist I've been watching

[thorn brook]

oh yeah sure

[analog salmon]

knot theory uses a lot of algebraic topology

[ancient flame]

https://youtube.com/playlist?list=PLOROtRhtegr4c1H1JaWN1f6J_q1HdWZOY

oh

[analog salmon]

like the fundamental group of the knot compliment as an invariant

[thorn brook]

Thank you!

[ancient flame]

I don't expect to understand everything but at least it may give me a basic introduction to topology

[analog salmon]

the alexander polynomial is super cool because it's secretly the first homology group of the infinite cyclic cover of the knot compliment

[odd narwhal]

yea isn't knot theory just like a special case of AT

or am I simplifying here

[ancient flame]

idk

[analog salmon]

it is, yeah

[ancient flame]

oh

[thorn brook]

knot theory sounds super cool tbh

[ancient flame]

I understood the first of 11 lectures so I guess we'll see how far I get before being like "yeah idk what this means" lmao

[odd narwhal]

what's your background gmod

[analog salmon]

the knot theory book by lickorish heavily leans on AT

[odd narwhal]

is that a real last name

[ancient flame]

I know calculus, some linear algebra, discrete math, set theory, real analysis

[odd narwhal]

it sounds like a stripper name

[ancient flame]

lickorish

[analog salmon]

yes lol

the lickorish book dedicates an entire chapter to covering spaces

and that chapter is from a general topological perspective, not specific to knots

[ancient flame]

gibberish

lmao

I think I'll go into topology next

[analog salmon]

this is the "full" way to define the alexander polynomial

even though it's equivalent to what (I'm assuming) the video covers

[ancient flame]

btw does anyone have a good number theory playlist? I've done an intro to it but at a basic level

[thorn brook]

what is an oriented link lmao?

or is that too hard to explain to a noob?

[analog salmon]

a link is just a bunch of disjoint knots

so like this is a link with two components

[ancient flame]

my brain when I wake up

[thorn brook]

oh okay I see

[analog salmon]

I hate having to make knot diagrams in tikz

catch me never doing this again

[ancient flame]

ewwww

just use ms paint

[thorn brook]

what a cute arrow in the middle

[ancient flame]

baby arrow

→

[analog salmon]

I made that two years ago and i'm not gonna change it lol

[ancient flame]

ezpz

[neat lintel]

You absolute amateur

[ancient flame]

LOL

[neat lintel]

The lines are meant to be fixed width

[ancient flame]

hush

[odd narwhal]

sounds like hell

[analog salmon]

what's worse is this, because at least there's a tikz package for making knots

but idk how to make this other than stealing the diagram from a paper

[sharp mulch]

Just make this in illustrator

[neat lintel]

Just grab some rope and get to work

[sharp mulch]

Or get a drawing tablet

[vagrant kestrel]

are tablet drawings allowed in math papers

[ancient flame]

idk consult the international organization on mathematical papers

[analog salmon]

I can buy a drawing tablet, but I can't buy drawing skills lmao

[ancient flame]

you can buy a person with drawing skills

[sharp mulch]

Why not?

Does the source of a drawing matter

[uneven field]

Out of interest (I have no knowledge of knots) is this well-defined?

[vagrant kestrel]

commission a knot diagram

[uneven field]

Because at first glance I don't see why it would be

because of stuff like this

oh wait that's aribtrary

[analog salmon]

yeah you can get different knots when you take different different splices

but if both knots are oriented, then iirc, the connected sum with a consistent orientation is unique

[uneven field]

Ah ok with orientation

Makes sense

[latent forge]

why care about knots tho

there has to be more to knot theory than distinguishing knots

[slim meadow]

Iirc the study of knots is really related to the study of 3 manifolds

[analog salmon]

yeah

[latent forge]

how?

besides them being embeddings of circles in r3

[analog salmon]

my summer undergrad research, for example, involves taking the idea of heegaard splittings, which is a way of decomposing 3-manifolds, into a way of decomposing 2-knots in 4-space

https://arxiv.org/pdf/1507.08370.pdf

[slim meadow]

I think the biggest question in knot theory is distinguishing knots though

[latent forge]

decomposing 3 manifolds?

[slim meadow]

Cause I mean, classifying things is a big part of math

[latent forge]

decompose how

[latent forge]

i get that and i enjoy it too

[analog salmon]

https://en.wikipedia.org/wiki/Heegaard_splitting

[latent forge]

but it often makes me think about its uses

[analog salmon]

I'm not too familiar with the manifold side of these splittings

the idea is that if we can use these general topological techniques to study knots, maybe we can use some techniques used to study knots on more general manifolds

my work in particular is trying to apply these techniques one dimension higher

[latent forge]

are there generalizations of knots?

[vivid halo]

Yes

[latent forge]

i wouldnt be able to visualize

[analog salmon]

instead of an embedding $S^1\to S^3$, you can embed $S^2\to S^4$, or generally $S^n\to S^{n+2}$

[fathom swallow]

cgodfrey

[latent forge]

holy mackarel

[vivid halo]

Also nice I don’t know of too many people working on higher knot theory

[analog salmon]

the trouble is we only know how to properly analyze and work with tiny subsets of these higher knots

[latent forge]

whats wrong with people

jesus

[analog salmon]

there's spun knots, where you take a one-dimensional knot and 'spin' it into the fourth dimension

but they aren't particularly interesting since their fundamental group is isomorphic to the fundamental group of the original knot

[latent forge]

how unabashwd do you need to be to study that

[vivid halo]

Idk this is pretty natural to study

[latent forge]

its like your admitting to being better at visualizing than anyone else

[vivid halo]

Any favorite results?

[analog salmon]

I think the work my group did is really exciting because it allows us to represent 2-knots as a triplet of three braid words, and we can calculate the alexander ideal for these knots

and we can generate arbitrary new knots by generating new triplets of braid words

[vivid halo]

It’s not as wild as it sounds, seeing as most techniques for dealing with 4 manifolds and embedded surfaces make heavy use of knots and 3-manifold topology in the first place

Oh nice

[analog salmon]

the idea is sort of like this, you take these three slices of the knot to get three diagrams

[vivid halo]

Trisections?

[analog salmon]

and those three diagrams contain enough crossing data to recover the original knot

and you can make a bijection between a given diagram and a braid word

[latent forge]

idk what a braid word is

[vivid halo]

Ah fun

[latent forge]

oh wait

[vivid halo]

I’ve heard a lot about trisections since I’m in the department where they were founded lol

[latent forge]

i remember looking up braided something on wikipedia

[vivid halo]

So I get to hear about these all the time from the topology students

[latent forge]

braid groups

[analog salmon]

a braid is a sort of generalization of a knot

braid word is a way to encode the crossings in the braid

this 3 list of numbers encodes the 2-knot equivalent of the trefoil knot

[latent forge]

I was trying to understand those list of numbers but honestly i dont know how

[analog salmon]

so '4', for example, means that strand 4 crosses over strand 5

[analog salmon]

this picture

would be [2, 3, 4, 5, 6, 7, 4, 5, 6, 7]

reading top-to-bottom

if we can finish one last hiccup, we could even start a website like https://knotinfo.math.indiana.edu/

and catagorize 2-knots

[somber kite]

Does this question actually make sense? Or is it gibberish

[latent forge]

yes

[somber kite]

Cause I saw a similar one recently, and someone here was complaining about how it was nonsense

[leaden torrent]

its incorrectly stated

theres a typo in the universal coefficient theorem

and its a somewhat... unusual question

like this is a very contrived scenario that woudlnt emerge naturally even if you fix the typos

[analog salmon]

https://cdn.discordapp.com/attachments/812079267370106940/853945527417438238/IMG_20210614_123430.jpg

[leaden torrent]

but its valid enough if you fix the small errors

or make good-faith interpretations

just gives the vibe of being kinda copy-pasted from wikipedia rather than an actual problem

[somber kite]

I see

[latent forge]

is natural ring extension same as endomorphism thingy

where you take multiplication to be the composition of endomorphisms?

[whole copper]

i find it kinda funny that theres so much hype about 1-knots, but (to the outside), not as much hype about 2-knots
like, I every now and then try and find a table of just... drawings of 2-knots, but I'm never able to (you can still draw them in 3space, just with some intersections like other surfaces only embeddable in R^4 like klein bottle) just a random thought when looking at the discussion way above about something something knots

[sleek wing]

classic https://cdn.discordapp.com/attachments/342850939306246145/871155338022363186/3yywuh45blz41.png

[leaden torrent]

i think the diophantine equation ones are the only ones in the spirit of facebook problems

since they actually look approachable

[somber kite]

Oh is that the Riemann hypothesis?

[leaden torrent]

yes

[somber kite]

Lmao

[sleek wing]

lemme get the diophantine/elliptic curve one

https://cdn.discordapp.com/attachments/342850939306246145/871155068307669032/screen-shot-2021-07-27-at-3.png

[sharp mulch]

Oh my

[brave hollow]

5 bananas , 5 apples and 6 watermelons including the ones after "how many..."

where's my fields medal

[sleek wing]

tbh just
🍌 🍌🍌 +🍇🍇🍇 = 🍎🍎🍎
would do

[sleek wing]

well done!

[analog salmon]

@whole copper this is one way to 'see' a 2-knot by looking at cross sections of it

[whole copper]

yeah, so Ive seen the 'fox diagram' representations

[leaden torrent]

0 0 0

[whole copper]

where you do a morse thoeretic kind of drawing and take a middle slice, where all the hyperbolic points are

[leaden torrent]

also that one is known to be unsolvable in general

the above diophantine equation does not have a known solution but is almost certainly solvable

[whole copper]

but still.. I wonder why theres no "actual drawings" out there, given that 1) its possible 2) itd be kinda interesting

[sleek wing]

fermat btfo'd

[whole copper]

(e.g., https://core.ac.uk/download/pdf/35271885.pdf)
The problem I have with these slice drawings is that you can usually just never tell what the surface even is... like in table 1, if you look at the simple examples,... idk if my geometric imagination is really bad or something, but I have a hard time even figuring out what they are supposed to be lol

the other thing is; I almost have a memory of seeiing such drawings of 2-knots before, I just cant remember from where. Like drawings in 3-space with intersections, the intersections look like circles, and you have to specify additional data about "which way in the 4-th dimension" each of the surfaces that intersect go

[forest jackal]

lol that picture does not even define pineapple in the relevant strip.

[sleek wing]

It’s standard notation 🙄🙄🙄

Also it does, pineapple is that integral

[forest jackal]

pineapple is the integral, for real part > 1, the reflection formula below defines it for real part < 0

the question is about what happens when real part is in (0,1).

[sleek wing]

Something something Analytic continuation

[forest jackal]

yes I know, my point was just that meme as written doesn't make sense lol.

[scenic narwhal]

https://tenor.com/view/pineapple-cat-sitting-pina-colada-gif-22197438

[forest jackal]

https://i.redd.it/xk4r1ewaszl61.jpg

[sleek wing]

Gonna have to go with moldi on this one

[mild nebula]

I agree with Moldi here.

[scenic narwhal]

[cold needle]

mizzy

[inner finch]

mizz

[cold needle]

MizzyNinja27

[neat lintel]

#❓how-to-get-help

[mild nebula]

Also spamming #help-6

Can ya not?

[bronze pelican]

[neat lintel]

<@&268886789983436800>

[sleek wing]

Lmfao

[tall badge]

ty

[mild nebula]

Neat

[bronze pelican]

[mild nebula]

Wants to sell you some food

[cold needle]

u gonna pay for the charity

or no

ronald mcdonald house getting aggressive now

[bronze pelican]

I love how I posted 1 emoji and he straight up calls me

[mild nebula]

Probably thinks you banned him

Or - no he wasn't banned yet

[torn willow]

Probably because he learnt you use light mode

The Ronald doesn't hire light mode users

[neat lintel]

show him the burgir you bought from bk

[cold needle]

burgir

[woeful locust]

birgur

[astral marsh]

mans was in my stream earlier today

tf

[bronze pelican]

Bro everything I think of in math research has already been done :(

[broken scaffold]

think more

[latent forge]

just be a crank and make up a thought experiment

[bronze pelican]

Ladies and gentlemen, I present to you the monodigon^

And the dimonogon

[ancient flame]

whats the purpose of this

[inner finch]

this is some modern art type shit or sth

[inner finch]

aliens

[ancient flame]

balloon

[bronze pelican]

Monodigon and dimonogon

http://www.weddslist.com/rmdb/map.php?a=R0.n1

http://www.weddslist.com/rmdb/map.php?a=R0.n1p

They are dual maps on the sphere

[terse flax]

I present u the 3-hosohedron.

[vast surge]

Ha, I've actually tried this one once (as in, like, a week ago). It's not an elliptic curve problem because it's not projective; I tried reducing it to an elliptic curve in order to solve it but that didn't work.

[vivid halo]

Can you reduce it to a problem involving rational/integral points on some curve, not necessarily an elliptic curve?

[vast surge]

I haven't had much luck doing that, but maybe there's some really weird transformation that I just haven't thought of yet.

The issue wasn't that I couldn't get an elliptic curve out of it, that was easy; it's that once I got rational solutions to this equation I couldn't find an easy way to turn them into integral solutions.

(Set 🍎=5 and we get a nice elliptic curve of rank 1)

[vivid halo]

Ah nice.

[vast surge]

If we take 🍉 as a constant we can get some quadratic forms, but it's been long enough since I've read Topology of Numbers that I've forgotten lots of the useful theory there.

[vivid halo]

Yea I just can’t see how to reduce this to anything other than finding rational points on infinitely many a priori different curves

Rational points on surfaces is kind of a mess

[vast surge]

So I've heard.

[vivid halo]

Wonder what the Brauer Manin obstruction to this surface is

[bronze pelican]

Ay. I've read half of Topology of Numbers. Its fun

[sharp mulch]

@deep mango what do you think about doing a small loop trick for the input channels

[odd narwhal]

why is the first iso thm sticker called discussions greatest moment

[sharp mulch]

Also ryc should the lower bounds begin when abs(I+F+O)>pm as well

[deep mango]

I have no idea what that means

Well

Ok

I kind of do

Does that help at all

[sharp mulch]

I can do some tests

But the idea behind doing the small loop trick was because

[deep mango]

The reason the small filter thing works is because the accesses to the filter are coupled between two loop indices

[sharp mulch]

Filter small => loop bounds small => LP can't obtain best blocking

Is it

[deep mango]

So when you divide, you undo the coupling

[torn willow]

Ask mirza

[sharp mulch]

Hmmmm

[deep mango]

Namington seething that ange understands first iso theorem better than him

[sharp mulch]

Ok maybe not then

[deep mango]

I'm not sure

[deep mango]

This is true

[sharp mulch]

Ok

Wait we can't just write i2=i2'+param*i2''

[deep mango]

What is the benefit of doing this

It doesnt change the array access pattern

Does it

Isnt i2 already only appearing as i2 in the loops, not scaled or added or anything else or anything

[sharp mulch]

This is true

[deep mango]

And I thought the point of blocking is to block it just like that

[sharp mulch]

Ok it's useless then

[deep mango]

Where we optimize over param

Well

It won't change the lower bounds is all I'm saying

[sharp mulch]

Sure

[deep mango]

All it does is add another s_I + s_F ≥ 1 or something

[sharp mulch]

Yeah

Ok

It doesn't matter then

I'll just update the plots

[deep mango]

Today I learned how Schwartz Christoffel transformations work

Not actually but

[sharp mulch]

Oh

Polygons

[deep mango]

I could write one down if absolutely needed

And I know how to read it

[sharp mulch]

From Gamelin?

[deep mango]

Just

Poorly

From stein and shakarchi

Well

[sharp mulch]

Oh ok

[deep mango]

From what I can see on my prelims they stop asking anything schwartz christoffelly after 2010

[sharp mulch]

I need to review conformal mappings

[deep mango]

And then they're all like

[sharp mulch]

I still can't integrate branch cuts

[deep mango]

Weirdly placed half strips and stuff

[sharp mulch]

Yes

Weirdly placed half strips is a good description of all of conformal maps

[narrow rock]

[brazen patrol]

Hey. 🙂

@sharp mulch I like conformal mappings! 😄

[sharp mulch]

I don't, all they do is make me suffer

[deep mango]

The main ones I don't know how to do are these:
$\int_0^1 \frac{dx}{\sqrt{x(1-x)}}$

[sharp mulch]

Lol

[fathom swallow]

ryc #MiuArmy

[brazen patrol]

Dat jacobi elliptic function though.

[sharp mulch]

Don't you do a contour that loops around [0,1]?

[narrow rock]

conformal mappings are fun, as long as you dont need to write one down

[deep mango]

Something something dumbell contour, something residue at infinity

[sharp mulch]

You have residues at 0 and 1

[deep mango]

I don't know how to do that

[sharp mulch]

And a branch cut between them

[deep mango]

No

Bad

[sharp mulch]

Where is the residue at infinity?

[deep mango]

This is how gamelin said to do it

[brazen patrol]

Mobius transformations are conformal and they're super easy to write! 😄

[sharp mulch]

I see

[deep mango]

Loop around it, send the loop to width 0

[sharp mulch]

Mobius transformations are fine

Just like

Pick 3 points

And then solve for the coefficients

Everything else though

[deep mango]

I dont see how you can do residues at 0 and 1

They arent poles

[sharp mulch]

They aren't?

[deep mango]

They're at branches

[brazen patrol]

Someone should help me in questions 3. I'm a dummy. 😦

[sharp mulch]

How miserable

[quasi jetty]

From

#❓how-to-get-help

Rule 3

Stick to one channel and don't post the same question in multiple channels. Please don't ask for help in other channels if no one is responding in the one you have posted your question in.

[sharp mulch]

Branch cuts bad

Branch cuts are bad because they're algebraic geometry

[deep mango]

I have precious limited time with service

[brazen patrol]

Fair.

[sharp mulch]

Are you traveling

[deep mango]

Branch cuts and WKB theory

[sharp mulch]

Are you already in Barcelona?

[deep mango]

No

I am in upstate new york

[sharp mulch]

Oh

Lol

[deep mango]

I will be in Barcelona on Friday

[sharp mulch]

Sure

[deep mango]

Assuming no disasters

Which is a terrible assumption at this point

Seems like covid is quite bad there right now

So I will be very careful

[sharp mulch]

Oh my

[deep mango]

There is a curfew

But

It's only from like 1am to 6am

Fortunately I am not a party animal

[sharp mulch]

That's quite a weak curfew

[deep mango]

Yeah

[sharp mulch]

I guess Barcelona is a night city

[deep mango]

It's a bit of both

[sharp mulch]

Do you want me to include you in the convo with Grace on attainability?

Or

Not attainability

Experiments

[deep mango]

I don't know what that means

What convo

[sharp mulch]

I will message with Grace on slack about how we're going to run experiments to measure comm vol

[deep mango]

Oh, either way. I won't have any useful input on something like that.

[sharp mulch]

Didn't you take 61C

Can you write assembly

[deep mango]

Absolutely not

[sharp mulch]

[neat lintel]

iam new here i donot know how to start >>can anyone send me a plan for beginers who want to start in olympiad math>>iam high school student

[narrow rock]

#old-network

there's an olympiad math server

[worldly roost]

help me