serious-discussion

[vivid halo]

I mean even in the case of elliptic curves you have to consider the fact that these are all homeomorphic (they are all tori) but most are distinct as elliptic curves

[tender tulip]

[vivid halo]

in the higher dimensional situation you run into the further issue that not all tori are algebraic

[tender tulip]

Hm

[vivid halo]

similar to the case of K3 surfaces where not all such are algebraic

[tender tulip]

Still confused on how the elliptic curve is related to a torus over C or C/(Lattice)

[vivid halo]

sure, so in one direction it's like

start with your elliptic curve C/L

your lattice is Z+tZ for t in the upper half plane

let g_2 and g_3 be the special values of normalized Eisenstein series of weight 4 and 6 at t

then you get the Weierstrass equation y^2=4x^3-g_2x-g_3

since the Weierstrass \wp function satisfies exactly this differential equation with x=\wp and y=\wp'

conversely if you start with an elliptic curve with Weierstrass equation you recover the lattice

[tender tulip]

Which is a special case because the Weierstrass elliptic function differential equation cancels the z^-2 term in it’s Laurent series then negates the remaining constant (Louville’s)

[vivid halo]

sure

[tender tulip]

But

Can this be done for every elliptic function

[vivid halo]

under suitable assumptions yeah I think so

[tender tulip]

Canceling the poles and using periodicity to reduce it to a constant, then removing the constant

[vivid halo]

\wp is just singled out as a nice normalization

[tender tulip]

It simply is even and has a single principal Laurent term, z^-2

[vivid halo]

yeah

[tender tulip]

Which corresponds to a different algebraic curve if you set some variable to be the Nth derivative

also for Weierstrass it ALSO parameterizes y’’ = Q(y) where Q is a quadratic

[vivid halo]

sure

the main property is like

if t and t' are in the same SL_2(Z) orbit on the upper half plane

then they correspond to isomorphic elliptic curves

why is that bleak that's very good

[tender tulip]

Still trying to understand isomorphisms

[vivid halo]

[tender tulip]

They can have different equations I assume

[vivid halo]

sure

[tender tulip]

Isomorphisms just says there’s a bijective map

[vivid halo]

yeah here it means bijective map preserving whatever extra structure

[tender tulip]

what is the structure in this case

[vivid halo]

in the case of complex elliptic curves it's just like

preserving the complex structure as a Riemann surface

[tender tulip]

Are all elliptic curves isomorphic to eachother as long as they have a nonzero discriminant?

[vivid halo]

hell no

[tender tulip]

alright, severely confused

[vivid halo]

they are topologically the same

but algebraically very different

[tender tulip]

Just realized that the differential equation for Weierstrass elliptic function is the isomorphism

[vivid halo]

yeah

[tender tulip]

I wonder what (complex) differential equations have elliptic solutions

[blazing pawn]

starting to think the order in which you are learning this material might be a little non standard

[soft basalt]

someone help me with eucllid's division lemma

[tacit isle]

Would this social be the right place for asking questions about 'Boolean Algebra', or would that be more suited in the 'Electrical Engineering' social?

[rancid meadow]

Depends on what your specific questions are

if its not like circuitry I would try here

Use #proofs-and-logic probably

[devout siren]

stupid question:
is it possible to learn calculus without trigonometry

[rancid meadow]

to a point

you are losing a ton of examples

but you can learn a lot

[devout siren]

ok i quit trigonometry

i dint have ti waste 1 hour trying to prove trig identities

[ripe wasp]

yeah proving is not really necessary

the pythagorean identities can be easily seen by just the unit circle

and the double angle formulas are trivial to prove via complex analysis im pretty sure

you don’t need to 100% understand exactly how things are proved to just use it to solve an integral tbh

[stark birch]

Yeah, using complex exponentials or rotation matrices make a lot of trig identities quite easy to handle

[ripe wasp]

ah yeah rotation matrices make the sum/difference formulas very easy to see

[toxic schooner]

how do rotation matrices help?

[ripe wasp]

the sum formula can be deduced from a 2d rotation matrix

it’s

[cosx -sinx]
[sinx cos x]

[toxic schooner]

[ripe wasp]

and then

you multiply the matrix with itself

but

with a different angle instead of x

[toxic schooner]

but how do you show that this expression is equal to cos(a+b)?

[ripe wasp]

wait i’ll send the whole thing when i arrive home just a sec

[toxic schooner]

[ripe wasp]

here

since a rotation by $\alpha + \beta$ is the same as a rotation by alpha then beta

[fathom swallow]

sean

[ripe wasp]

wait ill write teh whole thing out

@toxic schooner

[bronze pelican]

Good job👍

[toxic schooner]

ahhhh

i see what u mean

got it

[bronze pelican]

https://youtu.be/AeMcVo3WFOY

[dense belfry]

Is PT based now?

[bronze pelican]

I don't know sht about economics but this was an interesting video

Its funny to compare how math people are like their profession shouldnt exists because they question what "value" does it provide to society and then on they other hand you have economists who are on the other opposite end of that "percieved value" spectrum

[light needle]

just finished this and now i feel depressed lol

fortunately math isnt that bad(?)

[dense sorrel]

tbh i hate economics

I got C on principles of economics

cuz I ditched it

only C I ever got

[leaden torrent]

lmao

[fiery coral]

Can i get some help with mt exam questions

[bright hill]

as in, you're doing the exam right now?

[dense sorrel]

i mean if you are the one taking exam

then you really shouldn't get help

[fair mural]

he’s always been based

[bronze pelican]

Thank you quants

[fair mural]

quants

[bronze pelican]

[ancient flame]

quants

[surreal sapphire]

interesting watch, thanks for sharing

[neat lintel]

How do we call the vector unit of axis z

$\hat{k}$

[fathom swallow]

Blitz

[neat lintel]

@neat lintel

Ah so i j k

Thank you

Np

[tender tulip]

if N is a normal subgroup of G, then for any x in G and a in N, then xax^-1 = b where b is in N,

Then xa = bx = c for a and b in N, x and c in G, so c is in both xN and Nx, but does this hold for every c in both sets (implying they are equivalent)

Wait nvm

[sleek wing]

xN = Nx if N is normal

so they have the same elements

[hushed turret]

ok

[alpine kindle]

there aren't any adults i can talk to

[dense belfry]

[alpine kindle]

like

yeah no

[dense belfry]

Maybe someone you don't know yet would be better then

[hushed turret]

are you in any trans online spaces

[alpine kindle]

school isn't confidential

[dense belfry]

Maybe it would be easier to talk to them

[hushed turret]

what???

[dense belfry]

Idk

[hushed turret]

that's

i swear that's illegal

[dense belfry]

Wait what does that mean

[alpine kindle]

uh like one discord server

[dense belfry]

Like school counselor?

Teachers?

[alpine kindle]

wait no there's the celeste discord as well

[hushed turret]

like if you talk to the school counselor or whatever they're not supposed to say shit to anyone unless you're going to harm yourself or someone else

[alpine kindle]

oh

well

idk the law

it might be confidential

sorry i know nothing

[hushed turret]

do you not have the like
form you're supposed to sign whenever you start counselling where it says that they're going to be confidential

[alpine kindle]

what

[dense belfry]

You could try writing something

[alpine kindle]

we don't have school counseling I don't think

[dense belfry]

And giving that to your parents

To read

[alpine kindle]

we just have a pupil support centre

[dense belfry]

So you can coopt not being able to talk

[alpine kindle]

every option sounds stressful and awkward

[hushed turret]

ok well that should be confidential but maybe it isn't

[dense belfry]

But giving a note to your parents

[hushed turret]

well you've gotta do something so writing might be the best option

[dense belfry]

Is much easier

I think

[alpine kindle]

how do i give it to them

what do i write

[dense belfry]

Well you can spend time thinking about that

You can talk to people

Do research on what you need

[hushed turret]

write what you would want to say
take your time writing it i guess
and you can physically pass it to them

[alpine kindle]

I don't know where to research

[dense belfry]

I can give you resources

For trans stuff

If you want

Wow I'm glad I wrote my lecture notes last week for today

Lmao

I have to go in a minute

To teach

[hushed turret]

yeah or ask in there abt what to do in this situation
i'm sure there'll be people who can help

have fun emma

[alpine kindle]

i searched up permanent effects of male puberty a second ago and one of the top results was an anti-trans christian website

[dense belfry]

[hushed turret]

don't forget regina spektor

[hushed turret]

ayo what

[dense belfry]

Gross

But there are good sources

[hushed turret]

just go on the nhs site or something

[dense belfry]

Yeah

This is kinda well studied

[alpine kindle]

i mean
nhs has literally nothing about trans hrt

[dense belfry]

Like it's not studied enough

[wicked ore]

Counselors suck

Sometimes

[dense belfry]

But the information exists and is verified

[alpine kindle]

it has stuff about menopause

[dense belfry]

I'll send you info ally

We'll dm later

[alpine kindle]

thank you

[dense belfry]

Wow I'm so glad you let us know about this

I really hope you can get this resolved

[hushed turret]

how did this come up

[alpine kindle]

I don't know how to talk to people anyway

[dense belfry]

You seem to be doing fine here

[alpine kindle]

well

i feel comfortable here

[dense belfry]

That's good

Okay I need to go

Ttyl

[alpine kindle]

bye

[hushed turret]

bye emma

[alpine kindle]

sorry

[dense belfry]

No this was my choice

No worries

[alpine kindle]

thanks

idk how to talk to people

[hushed turret]

ok well you should talk to someone you feel comfortable with to help u decide what to tell your parents

and you can work it out with them and then writing it down is doable

[alpine kindle]

i don't feel comfortable with anyone

who i actually know

especially not adults

maybe like

a few friends

[hushed turret]

is there anyone you feel comfy with who is reasonably knowledgeable about trans things

[alpine kindle]

no

nobody i know is at all knowledgeable about trans things

except this one trans guy i haven't spoken to in ages

and even then

their situation is very fucked up

[hushed turret]

well emma is knowledgeable at least so maybe you should talk to her

[alpine kindle]

the last i heard about it

there's also never a good time

even if i wanted to talk to my parents

nor a good place

i have two younger sisters

[hushed turret]

ok yeah but hear me out there is a worst time and that time is the distant future
i know it feels really hard, because it is, but it's worth doing

[alpine kindle]

but i still don't know how

especially rn

I'm supposed to have been revising

[hushed turret]

[alpine kindle]

my dad made me make a timetable for revision

over easter I'm supposed to be doing three subjects per day

morning afternoon evening

I've missed out half of afternoon and the whole evening one

[alpine kindle]

he said this was minimum

[bright hill]

god, I hate when my parents interfere with my education

it's so annoying

[hushed turret]

that is
an unfortunate chain of events to which i can relate entirely

[sleek wing]

tell em to FACK off

[alpine kindle]

no they'll take my phone away

that's stressful

[bright hill]

unfortunately, they don't speak british

[alpine kindle]

my dad literally is british

[sleek wing]

I'm in a violent mood

[hushed turret]

ok well you have two options realistically
a) lie about work you did
b) not lie and make for up it by doing extra or some bs
c) do what wew said and tell em to fack off

[bright hill]

can't you like, negotiate?

[alpine kindle]

with parents?

[bright hill]

yeah

[hushed turret]

do you have parents

[alpine kindle]

well they're not gonna punish me for not doing the revision

[sleek wing]

my mother treats me as an equal

[neat frost]

I get that. I wanna beat someone to a pulp rn

[sleek wing]

because she actually respects my human fucking rights

unlike most parents

[alpine kindle]

they will for telling them to fuck off

[hushed turret]

oh

you're chilling then

what's your issue

[alpine kindle]

I'll be behind

[sleek wing]

just LEAVE 🤣 what they gonna do?? bring you back?> 😂

[alpine kindle]

I'll be homeless...

[fair mural]

that is not sullyable slurp

[bright hill]

what will they do if you stopped studying entirely once they take your phone?

[neat frost]

EVERYTHING is sullyable

[bright hill]

studying time is your bargaining chip

[hushed turret]

you're fine then ally
just go to sleep and get to work tomorrow morning you can catch up no prob

[alpine kindle]

they once took my phone away for shouting
and i refused

so my dad threatened to physically take it

as a last resort

[tender tulip]

My mom took my phone after an argument and violated the co it T order by restricting my ability to communicate with my dad entirely

[hushed turret]

look you're fine just get some rest

[sleek wing]

for shouting
"I can raise my voice at you but you can't raise it at me"
fuck off

[alpine kindle]

i still really have no idea what to do

and it's making me panicky

[hushed turret]

it's really fine

ppl can help you

[alpine kindle]

it doesn't feel fine

4-5 year waiting lists
permanent effects
I can't even get myself to talk to my parents to start it

[sleek wing]

you know there are

other

ways of getting the stuff

[alpine kindle]

that has risks

[sleek wing]

it also won't take 5 years

[alpine kindle]

and i really don't want more stress

and i don't know how to even get it

or what's safe

and there's no doctor to say what's safe

[hushed turret]

just take it one step at a time you'll be alright

[alpine kindle]

because it's not prescribed

but what's the first step

and when is it too late

[hushed turret]

a good step would be to talk to your therapist abt transitioning

[alpine kindle]

i already did

they were no help

this was over half a year ago

[hushed turret]

ok well another good step would be to talk to them about the apparent difficulty of talking to your parents

[alpine kindle]

but how do i talk to them about it

[hushed turret]

and talk to emma abt stuff cos she has important info for you about things

[alpine kindle]

this is all too much

I'm already overloaded right now

[hushed turret]

log off

clear your mind go to sleep

[alpine kindle]

no

I can't

that's not what i mean

this a whole other time-sensitive thing I didn't know about

and I'm horrible at time-sensitive things

[hushed turret]

bestie you're gonna be fine

[alpine kindle]

bestie?

[hushed turret]

friend

[alpine kindle]

oh

sorry

[hushed turret]

just go to sleep lol

[alpine kindle]

i can't because I'm stressed i haven't completed the stuff i was going to

and i have no time to slot them back in

[hushed turret]

there are like 16 hours in the day
you can figure it out tomorrow

[alpine kindle]

idk

but things don't really feel fine rn

[neat frost]

You sleep 8 hours a day? Wasted time.

19?!

Wow

[alpine kindle]

it's 24

[neat frost]

Y’all needa stop sleeping so much

[bright hill]

https://tenor.com/view/joker-society-cigarette-cigar-sigma-gif-22725715

[alpine kindle]

sorry

[bright hill]

sleep is important tho

seriously

[alpine kindle]

ok this conversation is nothing now

[bright hill]

never compromise on sleep

[neat frost]

Tbh 5 hours lol yeah

[hushed turret]

i mean you do what you want i guess but i'm going to sleep

[alpine kindle]

my parents are making me

[bright hill]

tbh, I still don't understand your problem clearly to help

I have nothing to say, sry

[neat frost]

Saaammeee

I don’t ever pay attention 👼

[alpine kindle]

if I didn't pay attention I'd fail most subjects

[bright hill]

doubt

[neat frost]

I don’t pay attention and I fail all my subjects!

Win win!

[alpine kindle]

regardless

idk

ok

wait

hold on how do you know my grades are good

do you know me irl

oh

[bright hill]

[alpine kindle]

that's not why I'm stressed

no

read like

the conversation above

[bright hill]

I think there are stuff deleted alison

[alpine kindle]

i don't want to talk abt it anymore tho

[bright hill]

that's fine

I hope I could've helped more

I don't

[neat frost]

Bbaaassseed

[bright hill]

most of what I study in HS I already know or I just have to memorize before the test

[neat frost]

Most of what I study in HS I don’t know, and I just have to memorize before the test. Which I don’t do.

[bright hill]

if it's a new physics lesson than sure

otherwise, probably not

[bright hill]

based

yeah

[neat frost]

That’s not entirely true

Math tests require practice

Same with physics

[bright hill]

well, if I! can just cram history and geography when the tests come close than why bother?

[neat frost]

Ah

Yeah

[bright hill]

today was really discouraging

a proof I didn't understand and a problem I couldn't solve

3h and I felt like I made no progress

[fervent pebble]

take a break!

i've been stuck that long before

a walk always helps

or take a shower or something

[bright hill]

I did take breaks

[rocky shuttle]

What subject?

[bright hill]

linear algebra

[fervent pebble]

what did u do in those breaks?

i think it has to be like completely different

and you gotta move

if you stay in the same general area nothing changes

[bright hill]

[rocky shuttle]

Yeah, do some analysis in your breaks

[bright hill]

but how can I watch anime if I'm afk?

[fervent pebble]

watch anime while running on a treadmill ¯_(ツ)_/¯

[rocky shuttle]

Workout does really help clearing your mind

[bright hill]

I did workout

it was really nice

now I'm just procrastinating

[rocky shuttle]

With that workout anime?

[bright hill]

just a normal workout

[neat frost]

Oof. That’s the worst. But keep trying, I’m sure you’ll get it! Like balky said tho, taking a break can really help!

[fervent pebble]

balky

[wicked ore]

What happened to Angetenar

[fair mural]

he left

[stark birch]

Random questions about the server I wondered.

What generally is the policy on us (as "normal" users) handling users in the topic-specific channels that basically just want us to solve their homework for them (insofar as they post a question and go "I need help"/"Solve this for me"/whatever)?

I imagine it's just "ignore them, or ask them to clarify/show their work but only if you want to"?

Also should I ping the staff role when someone obviously posts a test and wants it solved?

oh that's new

[fervent pebble]

on the test one yeah ping mods

that's cheating which is disallowed

ehhh

actually idk

maybe tell them you can't help them with tests

and if they continue

ping mods

[stark birch]

I was wondering because it seemed relatively petty (like I could see it for posting porn, slurs, bigotry, w/e) -- it's just cheating on a test feels relatively minor in comparison, based on my experience as a mod elsewhere

[fervent pebble]

? don't dm mods wut

[fair mural]

dm @polar panther

[bright hill]

you can ask modmail for such inquiries

[fair mural]

or ping mods

[sleek wing]

All this hubbub...

[fair mural]

ping mods meaning ping the mod role, since apparently that isn’t obvious

[stark birch]

I also thought that would've been too minor a reason to use ModMail but I guess it can't hurt

[bright hill]

nah, mods are pretty nice tbh

I'm pretty sure they won't mind

[fair mural]

that’s how you get a hold of mods lol

[fervent pebble]

mods on this server are nice 👍

[sleek wing]

Imagine if I was a mod that would be beyond radical

[fervent pebble]

untrue

[stark birch]

I guess I've just been stuck in my own server for too long and used to running things my way and being told it's rather different from how other servers tend to run themselves

[fervent pebble]

honorable, maybe

mod??

[bright hill]

[fervent pebble]

no

[sleek wing]

My first action as a mod would be to ban myself

[fervent pebble]

nvm i fully support

[stark birch]

I've heard plenty of horror stories about pinging mods for legit reasons and getting banned

[fervent pebble]

wew for mod 2022

[fervent pebble]

in this server? nah

[sleek wing]

Yes because most servers have mod teams staffed by children

[stark birch]

If mniip has the roles and bots set up properly you won't be able to.

Though I did once in a server that was not setup properly

[fair mural]

how can we be sure that you aren’t one of those children

[stark birch]

the owner was away for a good day or so too so I ended up having to rejoin on an alt, fun times

[sleek wing]

I would never be a child

[stark birch]

pretended to ban myself for a joke and ended up derping

[sleek wing]

It’s not in my character to do so

[fervent pebble]

he's in a relationship so we can assume at least some emotional maturity

[bright hill]

didn't namington already do that?

[fervent pebble]

wew ♥️ abstract algebra

[fair mural]

wew has been the character “wew lads tbh” ever since his birth

[bright hill]

get orginal wew

[sleek wing]

Wow

[bronze pelican]

It this server enables cheating, then that risks the server getting shut down

[bright hill]

it would?

why?

[stark birch]

Really?

[fair mural]

“risks”

as if it wouldn’t be guaranteed

[stark birch]

I don't recall something like that being in the TOS.

[fervent pebble]

^^^

[stark birch]

I'm not even sure how actively enforceable that is, even if true.

Like you could obviously bullshit your way around things and put in effort and make it look like you weren't.

Only the lazy cheaters that post phone pics of their test packet would really surely be caught

Or those cheating on olympiads that make their questions publicly available at the start or something

[vivid halo]

I don't think it's a TOS thing, it's more of a "this is the server policy do not do this" thing

[stark birch]

That makes sense but that "risks the server getting shut down" makes me wonder

[bright hill]

he said it would risk the server getting down

why is that?

[vivid halo]

I don't think it does

[bronze pelican]

[rancid meadow]

cheating is cringe and discord shuts down cringe servers

its in the tos

[bright hill]

based

[stark birch]

Idk I've seen the shit Discord practically enables

Don't forget about the scandals about alt-right servers and...other things happened

[vivid halo]

yeah it's admittedly pretty hard to get a server banned lol

[stark birch]

Hard for me to ever really trust discord's administration

[rancid meadow]

are you the person from which all of our old eevee emotes came from

[stark birch]

Which ones?

[rancid meadow]

nvm they are still here

maybe not the second one

[bronze pelican]

Idk if Discord would do anything based on TOS but if they got enough complaints from angry profs they might?

[rancid meadow]

the person had a role

lol pty profs dont care that much I think

[stark birch]

Those two have nothing to do with me at least

[vivid halo]

lol pty

[stark birch]

I know some other servers with good ones though

[rancid meadow]

Ravi Vakil incident

i feel like we used to have more eevee emotes idk where they went

[stark birch]

Blame mniip, tell him to turn this into an Eevee server

[bronze pelican]

Yeah , idk u don't want the server to have a bad reputation

[vivid halo]

sure

[rancid meadow]

throwback to when all of our cool cat emotes got copyrighted

[vivid halo]

just saying the cheating policy on the server has basically nothing to do with TOS

[rancid meadow]

i got my ex to remake the two best ones

[light needle]

the server already has a bad reputation :)

[rancid meadow]

[light needle]

just look at chill

[stark birch]

Relatable. I had a lot of emotes back in 2019 that were stolen because I was dumb and ignorant

[bronze pelican]

Yeah, I don't know anything about TOS

[sleek wing]

Steal everything

[stark birch]

But some artists picked up the slack and gave me some good ones

[fair mural]

ripoff

[rancid meadow]

no

it's much more direct than that lmao

[bronze pelican]

Cinnamon cake tasty

[rancid meadow]

it's literlaly just a remake of another emote that looked exactly the same

[stark birch]

It took me ages but I found the server of the streamer those are attached to at least, so I can use (most of) them without copyright issues

[bright hill]

speaking of emotes

I have a couple of suggestions...

[gleaming bobcat]

do you guys ever get the feeling that no matter how much you calculate and how much rechecking you do, it will always feel like your answers are never right.

[sterile hare]

nope

[leaden torrent]

depends

are my answers from a countable or uncountable set

if theyre from a countable set i can just biject with seconds and be sure that, eventually, i will get it right.

[deep mango]

[deep mango]

Is it recursively enumerable?

[leaden torrent]

who cares

[deep mango]

You, if you plan on eventually getting it right

[leaden torrent]

sounds like a problem for future me

like, arbitrarily far in the future me

thankfully i'm an ultrafinitist so i can assume that time never comes 😎

[fervent pebble]

gods i want to go to ucla so fucking bad

fuck they have such a good math department

[leaden torrent]

no you dont

[fervent pebble]

why not?

nvm i figured out why not

[torn willow]

Ah The classic international student debt

[fervent pebble]

im not international lmfao

that's the interSTATE cost

[torn willow]

What is it for international

[fervent pebble]

the same

...

https://admission.ucla.edu/tuition-aid

[torn willow]

Is this for 4 years combined

[fervent pebble]

per year

how the fuck is someone even supposed to afford that?

jesus fucking christ

[torn willow]

Can you send fees of some other uni for context?

[wicked ore]

That’s not even the most expensive

[fervent pebble]

^

i was trying to find something lower but i can't

or well i can but nothing significantly lower

[wicked ore]

Out of state is usually 50k+

Well, not usually, it depends on your income and stuff

[deep mango]

I did out of state at berkeley

Which is similar but I made it way cheaper in a bunch of ways

still like 30k a year I guess

[wicked ore]

My friend is credit hacking a bit

[deep mango]

Maybe a bit less

[wicked ore]

Taking a course in Islam for like 12 credits

Stuff like that

[torn willow]

TIL America thinks of interstate students like international students

[bronze pelican]

[fervent pebble]

and here i am with the bad luck of being born in freaking nebraska

[deep mango]

Only for public state schools

Since most of the time you just go to the school in your state

[fervent pebble]

like if i want affordable school i get unl

as my option

fucking unl

[deep mango]

But Berkeley/UCLA are really good so

[torn willow]

What's wrong with unl again

[deep mango]

people want to go to them from outside california

[fervent pebble]

it's like straight up not good lmfao

[bronze pelican]

I did instate tuition at stonybrook with a small scholarship, was like 3-4k per semester

[torn willow]

I mean if it's not good,why is it popular

[fervent pebble]

bc it's the best college in nebraska

[wicked ore]

Nebraska?

[fervent pebble]

? yeah

[wicked ore]

I don’t mean to offend but Nebraska is like

The most forgettable state

[fervent pebble]

@wicked ore

never fear i agree

[wicked ore]

😦

[bronze pelican]

Nebraska

[wicked ore]

What’s another forgettable state

[fervent pebble]

i will always take an opportunity to shit on nebraska

[bronze pelican]

Wow I forgot it already

[wicked ore]

South Dakota

[fervent pebble]

kansas

[wicked ore]

Lmao

[torn willow]

Idaho?

[wicked ore]

Maybe

Indiana

Delaware

[fervent pebble]

maybe i should go to berlin >.>

apparently tuition is free

[torn willow]

And why is there a Virginia and west virginia?

[wicked ore]

Berkeley, Illinois

West Virginia

There’s only a North Carolina

[torn willow]

I think you are bound to forget Virginia

Because you always remember west Virginia

[empty stratus]

Long story short, slavery and mining, respectively.

[wicked ore]

Man

Slavery

Can’t believe we still have that around

[torn willow]

Wdym still

[fervent pebble]

https://www.antislavery.org/slavery-today/modern-slavery/

https://worldpopulationreview.com/country-rankings/countries-that-still-have-slavery

[torn willow]

Yea,I was expecting India on there

[wooden flax]

Is there a shorthand for saying $\leq$ or $\geq$

[fathom swallow]

Invictus

[wooden flax]

Would saying like $\pm =$ work

[fathom swallow]

Invictus

[deep mango]

Wut

[wooden flax]

idk bruh this is cursed

[fair mural]

what even is your question

[fervent pebble]

^

[deep mango]

what do you mean by "a shorthand"

[fervent pebble]

a shorthand
lists something longer right below it
.>

[deep mango]

Can you give an example

[wooden flax]

nvm im braindead

[low ember]

There is a scholarship for math called the MUMS scholarship that’s a full ride

It’s been 4 years since anyone has gotten it, I think since it’s not really advertised much for some reason, but it could be useful to apply for

[fervent pebble]

yeah i don't yet qualify

we'll see if i can build up some proper credentials over the summer >.>

[low ember]

Yeah, no idea on what “credentials” they want for the application

I would assume if you know some good math that should work out

What are you learning atm?

[modern geyser]

MUMS?

[low ember]

Math undergrad merit scholarship

[fervent pebble]

the issue is the "good academic transcript" lmfao

i have great acts

but my academia is shit since i hate school

[modern geyser]

"outstanding standardized test scores"

disgusting

[fervent pebble]

plus i need the other outstanding like research shit or whatever

[low ember]

Lol, based

[modern geyser]

SAT would be long gone if collegeboard didn't have so much money

[fervent pebble]

which i need to work one a bit more

maybe if i get lucky and find smthn new and get smthn published i could get it

who knows

[low ember]

Or just learn something and have something to show the knowledge on, what are you learning ab now?

Depends a bit on background I would think

[fervent pebble]

just calc

[modern geyser]

what does upper-diviosn college level mean

[fervent pebble]

ib math analysis hl

[modern geyser]

like #groups-rings-fields or like graduate abstract alg

[fervent pebble]

thankfully im still in junior

[low ember]

Upper div means like real analysis, complex analysis, abstract algebra etc.

[modern geyser]

i c

[low ember]

Like Artin’s Algebra should cover that

[modern geyser]

are you in colleg eyoneda?

[low ember]

I am

[modern geyser]

math major?

[low ember]

Yup

[rancid meadow]

valley what state are u in

why do you want to go to ucla

its cringe

[fervent pebble]

where should i go instead >.>

[low ember]

I would recommend this text potentially Halmos naive set theory first, I took calc BC my junior year which is when I got into math and read these around that following summer

[fervent pebble]

fucking nebraska lmao

[rancid meadow]

oh

[wicked ore]

When you read them, did you do all the exercises and stuff too

[rancid meadow]

have you considered being a resident of a good state

[wicked ore]

And did you finish it

[low ember]

There are a lot of good places around, depend where you get in

[fervent pebble]

no

[low ember]

Yes and yes

[wicked ore]

Over the summer?

[fervent pebble]

yoneda how much did college cost u?

[low ember]

And a good part of my senior year

[wicked ore]

How many hours did you spend each day doing it lol, isn’t it rly long

[low ember]

An arm and a leg, I did not know or apply for the aforementioned scholarship at the time

[wicked ore]

And it’s a math text which takes some time to read, plus exercises

Jeez

[low ember]

Depends on the day, don’t remember, up to like 6-8 hours on days I had free probably

[fervent pebble]

you went to ucla?

[low ember]

I’m currently at UCLA

[fervent pebble]

how would u rate it

and were u a cali resident?

[low ember]

I think it’s a great place, there are plenty of great places around as well, so don’t get too attached to a college before you get in somewhere

[low ember]

No

[fervent pebble]

rippppp

do you like have a list laying around of good math colleges?

by any chance

[low ember]

No lol

[rancid meadow]

my understanding of the US is taht any oos school is gonan fuck you price wise

[low ember]

Yeah, basically

Private unis would probably be better if you need financial aid, realistically

[rancid meadow]

Colorado has some pretty good schools & is close to Nb tho

yeah

just go to harvard valley? its not that hard.

[fervent pebble]

i have thought of it but unfortunately im a fucking dumbass

uhhhh wait harvard accepts those

my b

a poor fucking dumbass

[rancid meadow]

lol

[wicked ore]

Just go to Harvard

lol

[rancid meadow]

does nebraska really only have UNebraska

waht the fuck

[fervent pebble]

unl

also there's uno

but fuck uno

[low ember]

There are private colleges other than Harvard that do offer pretty good financial aid over all, and other places that do offer good FA

The UCs are particularly stingy though

[rancid meadow]

lol you guys have fake Wesleyan

[fervent pebble]

stop roasting me i didnt choose this

[rancid meadow]

yeah idk u should move

[low ember]

“Just move lol”

[fervent pebble]

IM 17

i can't leave my friends

im too established

[low ember]

Tbf you will end up doing this anyways in a year

[fervent pebble]

dont do this to me

fuck im gonna need new friends

[rancid meadow]

no i mean

move for university

do not stay in nebraska lest you become a farmer

farmer (someone useful to society)

[fervent pebble]

me??

useful to society??

never

[rancid meadow]

exactly which is why u should pursue math

[fervent pebble]

don't worry i would never become useful to the world lmao

[low ember]

Then move, is Jesse’s point

[fervent pebble]

i can't move tho

[rancid meadow]

i think u should go to Chicago

[fervent pebble]

no thanks i would prefer to not die from a stray gunshot >.>

[rancid meadow]

nebraska moment

okay go to colorado

fio goes to denver iirc

she enjoys it maybe

[low ember]

Go to Hopkins, they also have a good med program so you can get patched up every time you get shot

[rancid meadow]

yeah and u get to meet riehl

so its a double win

[low ember]

Riehl is doing a week of lectures here in a month

[fervent pebble]

but i have to tell people i want to go to hopkins then

[low ember]

👀

[fervent pebble]

and i want a social life for senior year

[rancid meadow]

better than saying u live in nebraska on the internet

💯

[fervent pebble]

ok so ur not wrong but

[neat lintel]

what so good about her

besides writing popular book/paper

or ig what is so good about their work

[fervent pebble]

i think its bc her category theory books are very good

or at least that's what ive heard

[low ember]

I don't know too too much ab what she does, but we have an informal infinity topoi/cat reading group going on rn so it should be cool with that in mind

[gleaming bobcat]

why is it when i trust myself with the solution it ends up being wrong and when i spend 2 hours stressing if the solution i did 2 hours ago was correct is when it ends up being correct. aaaaa

[magic portal]

I want to start learning math from scratch , what is right way to start and from where

[deep mango]

A good free resource is Khan Academy.

I also like Gelfand's books a lot. They're probably a bit harder than Khan Academy, very conversational good books if you prefer that format.

He has an algebra book to start with.

[magic portal]

okkay

[primal seal]

I’d argue something like Sundstrom

Im assuming you know algebra and stuff though- or are you talking about learning from literal ground zero

[magic portal]

from ground zero onwards

[primal seal]

Yeah then listen to ryc

[magic portal]

ok

[astral iris]

Ryc is king

[stray kite]

what is the best way to introduce people to the concept of abstract algebraic structures?

[near fox]

A classic way to introduce finite groups is through their connection to symmetries. For example one can motivate a certain finite group that represents all the ways you can flip and rotate a mattress

[neat lintel]

which option is it

help me

pls

find the unit rate

[wicked ore]

Isn’t a square a little easier

I guess a physical object is nice

For simplicity

[near fox]

I think it's good to motivate with an "application". Squares are already symmetric, rotating it doesn't do anything, whereas a physical object has orientation in some manner

[wicked ore]

Ah i see what you mean

And a mattress always has different lengths in each dimension

Smart

[bright hill]

https://terrytao.wordpress.com/career-advice/advice-on-mathematics-competitions/

@alpine kindle

[alpine kindle]

thanks

[bright hill]

his whole blog is actually goated

would really recommend

[alpine kindle]

i don't understand the mindset of olympiad maths being interesting and modern maths being boring

[bright hill]

bruh, have you finished reading?

[alpine kindle]

yes

it's like 1 page long

[bright hill]

that's fast

[alpine kindle]

I'll put it in discussion

[bright hill]

I don't think he said that tho

[frigid lark]

So I have to hold a seminar about Diffie-Hellman, Digital Signature, ECC, Coin-Flip protocol...and it will be my first presentation.

I have prepared a "dry" latex document of everything I am gonna talk about.

but the Phd student wants me to do a presentation for beamer or sth.

So I can either create with PowerPoint or with the Latex Beamer class.

which one would you guys use? If I use beamer class it will be probably very dry and time consuming to create.

[surreal sapphire]

i like beamer more but it doesnt matter that much

(overall i think presentations with slides on a computer are bad, but thats besides the point...)

[frigid lark]

like this looks hella ugly.

[surreal sapphire]

this is powerpoint?

[frigid lark]

ye

[surreal sapphire]

ye, beamer can look nicer if you have lots of math typesetting

and there are some good templates

[frigid lark]

I have tried to reuse the Latex document I prepared in pp. Its stupid I think.

but then it looks more clean.

Or should just use beamer?

[surreal sapphire]

just google for beamer templates, pick something nice and then you can probably copy paste a lot

[frigid lark]

beamer templates for pp?

[surreal sapphire]

beamer is a latex package

[frigid lark]

kk.

[surreal sapphire]

you can check like https://www.overleaf.com/gallery/tagged/presentation for templates

[frigid lark]

ty

[frigid lark]

@surreal sapphire do you ignore the beamer overfull messages xD?

I found one, and I adjusted the color.

[surreal sapphire]

if you dont see an issue on the pages themselves, you can ignore them

[surreal sapphire]

🤷

it just tells you that some box is too wide

i dont use beamer too much, but if you dont see the issue you can ignore it

usually its trailing text or something

[karmic zealot]

i was wondering why some languages have grammatical gender/genus as a feature

actually no that's poorly phrased

[alpine kindle]

noun class?

it's a variety of reasons

[karmic zealot]

my native lang is an analytic language

[alpine kindle]

depends on how noun classes manifest themselves

[karmic zealot]

so it's such a foreign idea when languages like german have different conjugations for words based on their gender

[alpine kindle]

well

first of all

if we're looking at indo-european langs like german

it originally came from an animate-neuter distinction

where it seems certain noun cases might have been unimportant to distinguish on inanimate objects

and so they all probably merged

the feminine probably came from a certain few suffixes

which became long vowels in daughter languages

so like

yeah

[karmic zealot]

it'll probably never stop seeming so weird to me

i guess you just get used to it lol

i cant help but ask how did the languages even evolve to what they are now? why do noun classes carry such importance? etc.

sometimes i wonder maybe some things just caught on because they sounded nice

[alpine kindle]

sound changes

grammar features get forgotten

new stuff replaces old grammar features to express the concept

certain forms get partially or fully regularised (which often ends up making things less predictable)

etc etc

[karmic zealot]

i suppose

[alpine kindle]

sometimes you get phrases from popular culture coming into general use

[karmic zealot]

and repetition legitimises :D

[alpine kindle]

the entire premise of language evolution

[neat lintel]

I'm finally done reading about functional analysis

There was a ton of it

Convex functions are pretty cool tbh

[karmic zealot]

you're pretty cool too

[toxic schooner]

this

[bright hill]

the japanese-english exchange server is so nice

I had fun

[stray kite]

geometric group theory seems like such an interesting field

[light needle]

yes.

[bright hill]

isn't that what algebraic geometry is?

[surreal sapphire]

no

[frozen merlin]

it's using topology to study algebra

so the inverse field of algebraic topology

[light needle]

study groups by their actions on geometric objects is the best description

[vivid halo]

no lol

[frozen merlin]

yeah this was a joke

but i'm not sure why i'm getting sullied, isn't it roughly true? (apart from being an oversimplification)

[neat lintel]

just ignore sullie

ppl just spam them here even when it makes no sense

[old fox]

[neat lintel]

what you said is misleading

[alpine kindle]

is this algebraic geometry

[surreal sapphire]

^

[alpine kindle]

then what is algebraic geometry
wikipedia says it's "classically" about zeroes of multivariate poynomials
is there more to it

[surreal sapphire]

you can read the wikipedia article on hilbert's nullstellensatz

it's the original starting point

there is a connection between these zero sets of polynomials and ideals in polynomial rings

this connection is really nice

[alpine kindle]

oh

[surreal sapphire]

so you can study geometry by doing (commutative) algebra and vice versa

and this works with every field

at some point you can get the idea that you might want to do this with every ring, because for example diophantine equations are defined by polynomials over Z

[alpine kindle]

yeah

[surreal sapphire]

but then you have to look at schemes

which is what modern AG is about

you can look at the definition if you want and notice its quite high tech

[alpine kindle]

so is modern AG just
multivariate polynomials over different rings

[surreal sapphire]

"just"

[alpine kindle]

oh

i mean

yeah

of course

[surreal sapphire]

a lot of the time you are in commutative algebra land

but there are ways to move results from there back into zeros polynomials land

but like

its very powerful to turn any ring into a geometric object

[alpine kindle]

yeah

can you turn a ring into a geometric object in any ring?

[surreal sapphire]

in any ring?

[alpine kindle]

uh

nvm

by geometric object do you mean

set of solutions

to a polynomial

[surreal sapphire]

i mean a scheme

[alpine kindle]

ah

[surreal sapphire]

things arent that simple anymore

[alpine kindle]

I'll have a look

see if i understand anything

[rocky shuttle]

oh, you can replace an infinite system of polynomial equations with an equivalent finite one

that's nice

[frozen merlin]

that comes from being noetherian right?

[rocky shuttle]

from the fact that a polynomial ring over a Noetherian ring is again Noetherian

I don't quite get the connection though

[surreal sapphire]

sure

in a noetherian ring every ideal is finitely generated

[rocky shuttle]

oh, okay

[surreal sapphire]

you have to restrict yourself to noetherian rings though ofc

and if you want actual computational tools, then you can only really deal with fin. gen. ideals in the first place

if you want a theory similar to that of say gaussian elimination for multivariate polynomials, you can look at the theory of gröbner basis

which is the main tool in doing explicit computations (with a computer)

[bright hill]

noetherian ring sounds like tolkein shit

[surreal sapphire]

german names tbh

[rocky shuttle]

emmy

[sleek wing]

em ee no fairy

[bright hill]

can't wait to learn abstract algebra

[sleek wing]

I can

[bright hill]

it seems like it's inseparable from high level math

[bright hill]

aren't you doing group theory?

[sleek wing]

well I mean

I've been doing group theory for 3 years now

but I still haven't learnt it

I know nothing about lie groups, the connections to graph theory (like cayley graphs), advanced presentation theory, fundamental groups

etc. etc.

[bright hill]

git gud?

[inner finch]

what do u know then

[deep mango]

WHY DO YOU STILL WANT ME BANNED

[surreal sapphire]

can you show that a group of order 2376 is not simple

[inner finch]

lmao

[inner finch]

hmmm

too lazy to change back

i guess you will have to live with it 🙏

[deep mango]

i can change if for you if you have a preference 🙂

[inner finch]

okay thanks

change it to mirzaforrycforban

(forblushysully)

foremote

[bright hill]

change it to something inappropriate

then ban them for inappropriate name

[deep mango]

unfortunately mirzaforrycforban(forblushysully)foremote doesn't fit

[inner finch]

then live with me forever advocating for ur ban

[deep mango]

that other name advocates for my ban too!

[bright hill]

can active member change their name?

[deep mango]

i'm not gonna get banned

yeah

[bright hill]

or is it just a very active thing

[deep mango]

active and up, emeritus, maybe nitro boosters?

idk

[surreal sapphire]

basically established members

[bright hill]

does that mean I'm not an established member?

[inner finch]

oh true lol

😔

[deep mango]

well you don't have a role

[bright hill]

[inner finch]

[deep mango]

wow thanks. much appreciated

[inner finch]

u r always

gay

[deep mango]

lmao

[inner finch]

🙏

[deep mango]

did you not change it?

cause i didn't

[inner finch]

i did change it

[deep mango]

oh

well if you must know

it's the blushy sully part that actually infuriates me

[inner finch]

lol

why

[surreal sapphire]

it reminds ryc of his broken promises

[inner finch]

hmmmm true

[deep mango]

blushy sully... i've had it up to here with those rosy cheeks, those beckoning green eyes and that concave nose! i'm going to lose it!

[inner finch]

ahahahhaahahhaa

dont worry, i harbor feelings deep down for blushy sully too, ones that i would never tell another soul

[light needle]

pls tell this soul

this soul wants to know

[inner finch]

hmmm

okay

i....

want....

blushy sully....

||to be added as an emote||

[alpine kindle]

yes all high school maths is based on field axioms

[bright hill]

statistics?

[alpine kindle]

you manipulate numbers so yes

do addition, subtraction, multiplication, division

[bright hill]

[rocky shuttle]

You don't have to wait.

[bright hill]

I mean

I know that

but I don't want to be jumping subjects every week

seems like a bad habit

[rocky shuttle]

Ok, yeah, better to do it properly

[fair mural]

why must friedberg do eigenstuff mainly in terms of linear operators instead of matrices

[long matrix]

whats a matrix

[bright hill]

operator?