serious-discussion

[latent edge]

what do you usually do when defending? I don't really know tbh

like do you literally go in a debate or something

have a shield

[vivid halo]

usually you just give an hour talk and then you get some questions and that's about it

in my case it was just like 20 minutes of questions and I passed

[visual breach]

Now, Idk why it is called defence. It's not like they are trying to break you down

Or do they

[latent edge]

yeah it's confusing

[neat lintel]

you defend

[vivid halo]

they might give you a harder time and interrogate you if it's not clear you understand math

[latent edge]

is the talk any different from giving a seminar?

[visual breach]

Welpppppp

[vivid halo]

it's pretty much the same yeah

[latent edge]

oh then I would love that

[neat lintel]

Anyway I've never tried defend

[visual breach]

Seminar, but they would indeed examine more thoroughly

I think

[vivid halo]

I gave a practice talk to my advisor which was WAY TOO TECHNICAL and assumed everyone read the thesis in detail

[neat lintel]

how do you usually succeed with your own thesis defend

[vivid halo]

and he was like bro just do a normal talk

[neat lintel]

bro cooked

[vivid halo]

my thesis was also like ~300 pages

[visual breach]

Wtf

[neat lintel]

how long did it took you to prepare it?

[vivid halo]

so yeah nobody ready it

[visual breach]

I know 300 pages is normal but

[latent edge]

that's the sad part

[neat lintel]

is this the 1+1 proof?

[vivid halo]

1 day to prepare the slides for practice talk and 1 day to prepare the updated slides

[neat lintel]

no like the thesis..

[vivid halo]

oh uhhh

[visual breach]

It is collection of what you achieved, right

Like there are going to be a few papers worth of materials

[vivid halo]

I think the last year or so has been the main serious writing endeavor

a lot of the time was just learning what the hell was going on with Langlands

obviously the writing goes much faster when you know what is going on

[visual breach]

Wow, that sounds it would have been hard time even for you

[vivid halo]

I worked on this project for about 5 years

a lot of those years were learning and failed attempts at resolving this conjecture

[neat lintel]

i dont understand the topic lol my highest level is radical equations for now..

[vivid halo]

really only fell into place in the last year or so

[latent edge]

But you had a main focus right

[visual breach]

Note to myself again to never do langlands

[vivid halo]

yes

[latent edge]

ok cool

[neat lintel]

how did you got into math @vivid halo ?

[visual breach]

Even mighty nG took 5 years

[velvet dagger]

Langlands is gonna be extremely difficult to get into if you don't already have a lot of the relevant background going in

[vivid halo]

I mean I had a main conjecture I was interested in but had to learn a lot of stuff before I could make a serious go at it

[latent edge]

From the talks we had I can pretty much tell you are very much shimura variety pilled

[visual breach]

(Also not many people do Langlands anyway)

[velvet dagger]

It's generally considered something of a death trap

[neat lintel]

do langlands occur in physics?

[vivid halo]

I started out mainly in computer science and realized that most of my projects were math oriented

[velvet dagger]

Langlands-adjacent might be easier, though you should know what stuff you're pulling from and what background you need

[vivid halo]

yes

[visual breach]

The analogy is there but details seem insane

Gotta go Langlands adjacent

[neat lintel]

ohh

[latent edge]

hmm

I feel like most of my big projects are math related

[neat lintel]

perhaps do you have an interest soon enough with quantum computing?

[velvet dagger]

So if you're a second year grad student and don't know what cohomology is and you're considering doing endoscopy... maybe reconsider

[visual breach]

How did you manage to transition?

[vivid halo]

idk I just started doing math

[neat lintel]

https://tenor.com/view/mujikcboro-seriymujik-gif-24361533

[visual breach]

Wow

[velvet dagger]

In American undergrad you aren't committed to a major right away

[vivid halo]

the Spring semester of my first year in college was borked because of family emergency which forced me to have to retake differential equations

[neat lintel]

why is that)

?

[velvet dagger]

So you can just switch from taking CS classes to taking math classes

[visual breach]

Don't you learn cohomology in first year at least

[velvet dagger]

And declare math major

[vivid halo]

and the professor was nice enough to give me an automatic A for the retake if I did independent math stuff

[visual breach]

(Apparently homology is "easy" as well)

[vivid halo]

so I studied differential geometry that semester

[velvet dagger]

Usually, I'm just saying that if it were the case that someone at first was doing financial math and wanted to switch to number theory that late in the game, don't do endoscopy

[neat lintel]

ohh

[vivid halo]

that was the main semester where I really seriously got into math

[visual breach]

Ah, true

[neat lintel]

isn't like endoscopy in medicine?

[visual breach]

I wish "applied category theory" was common

[vivid halo]

yes but it's also a term in Langlands

[visual breach]

Then maybe I could have done that

[vivid halo]

endoscopy is not that bad

[neat lintel]

you guys do endoscopy?

[vivid halo]

endoscopy is one of the main (unfortunately named) ideas in Langlands

[neat lintel]

ohh damn..

[vivid halo]

there is a somewhat rececnt proposal called "Beyond Endoscopy" that Langlands himself proposed as a potential strategy for resolving some of the main conjectures

everyone that has worked on Beyond Endoscopy has either got a fields medal or quit math forever

[visual breach]

Just checked, hell is stable conjugacy

[vivid halo]

yes endoscopy is about stable conjugacy

[visual breach]

just elts in G(F) conjugate over \bar{F}
"Stable"

[vivid halo]

Yes

[latent edge]

calling it stable is such a move

[visual breach]

I bet stable is like normal

[neat lintel]

I'm sure someone from this server soon enough will solve a million dollar equation

[velvet dagger]

True but in context, if you were doing financial math until first year of grad school and now you're going to NT for the first time, you don't want to deal with Langlands program at all

[vivid halo]

The main point is that the usual Arthur trace formula behaves well under conjugacy but not under stable conjugacy

[visual breach]

"Oh this seems better behaved, do we name it stable or normal"

[vivid halo]

On the spectral side this means that multiplicities behave funny

You can stabilize the trace formula to fix this

[visual breach]

How do you stabilize a formula?

[vivid halo]

you find a way to turn an invariant distribution TF into a stably invariant distribution STF

[visual breach]

Ah, so "stable" comes from here?

Hmm

[vivid halo]

you want the distributions to be invaiant under stable conjugacy instead of just conjugacy

what this typically amounts to is like

you start with the distribution of the invariant trace formula TF^G for a reductive group G

after stabilization you get some sum of stable distributions STF^G+(correction terms)

where the correction terms are stable distributions STF^H for so called endoscopic groups H of G

[visual breach]

Ah wait, so this is back to stable conjugacy

[vivid halo]

yeah exactly you're trying to put together these correction terms so that things behave nicely under stable conjugacy

[neat lintel]

@vivid halo do you plan on switching to math major?

damn

[vivid halo]

I literally just got my math PhD

[neat lintel]

bro i thought you're doing CS

https://tenor.com/view/munsonated-gif-26549638

[latent edge]

I am doing CS

[vivid halo]

that was like 8+ years ago

[latent edge]

nG is already done lol

[neat lintel]

nG?

[latent edge]

nGroupoid

[latent edge]

white background user spotted

[neat lintel]

ahh bright

[vivid halo]

dark theme sucks

[neat lintel]

I'm sure most cs majors likes dark

[neat lintel]

i guess when you open your laptop in your lecture hall everyone gets flashbang

[vivid halo]

lol

[visual breach]

Meanwhile I just go with Default theme

[vivid halo]

my default pdf viewers are light mode and if anything it just bothers me more to have some windows dark and some windows light

dark mode is fine if everything else is dark

but mixing both just looks awful

[fresh comet]

almost everything is light mode for me, except like discord

cause I just keep everything on default

[vivid halo]

yeah I just can't deal with that

[jagged forge]

when you try to use dark mode on kindle and the equations turn into white boxes

[neat lintel]

yea because when someone ambushed you, you'll be prepared since you can still see the background

light mode when everything is dark feels like someone is gonna ambush you soon..

[jagged forge]

hold on let me get a picture

[neat lintel]

yea try doing it

[latent edge]

I hate this already

[jagged forge]

it fills me with regret

that i’m a dark mode person

[neat lintel]

looks shitty

[vivid halo]

I mainly keep everything on light mode because when I do want darkmode I use the darkroom mode

[visual breach]

Do you use discord on computer?

[vivid halo]

which turns white with black text to black with RED text

but if you have something in dark mode then the darkroom mode flashbangs you

[vivid halo]

almost always yes

I do with that discord had better mobile versus PC settings

I would not object to having it be light mode on PC and dark mode on mobile

[neat lintel]

@vivid halo in the process of getting phd did you got hair loss?

[vivid halo]

but it kinda doesn't let you do that

[neat lintel]

imagine the stress

[vivid halo]

only a little bit recently but probably becuase I've been abusing amphetamines and nicotine

but not that badly

[neat lintel]

even me is getting lots of hair lol..

[vivid halo]

not balding like some of my friends

[neat lintel]

wtd

wtf

so it's true

you get saitama process

[vivid halo]

the friends I am referring to are not in math btw

[jagged forge]

what’s true

[vivid halo]

the most balded friends I know are in CS and finance

[neat lintel]

bald process

[jagged forge]

well luckily by the time they’re bald hopefully they’ll be able to retire

[vivid halo]

so far it's okay since my hair used to be WAY TOO THICK before and now it's just normal thick

[jagged forge]

why is this phrased like you just discovered balding

[vivid halo]

and maybe the hair loss is more noticeable since I grew my hair out so every lost hair looks way bigger

[visual breach]

Nicotine

[neat lintel]

nah even me is really curious how do they get shiny

[vivid halo]

yeah nicotine is not great

[neat lintel]

say no to nicotine

just try amd instead

[vivid halo]

nicotine is great especially at lower doses

[jagged forge]

man i can get amphetamines legally

[vivid halo]

at higher doses it start to suck

[jagged forge]

but i am too lazy to make an appt because add

[vivid halo]

you know what is great though? meth

[neat lintel]

[neat lintel]

just inhale gym salts instead

you get pumped

[jagged forge]

eat 8 scoops of pre workout

[vivid halo]

anyone that is taking the main ADHD meds (adderall, dexedrine, vyvanse) is basically just taking meth

it's not actually that different

[visual breach]

Ehhh

[neat lintel]

my uncle take ocd medicines

doesn't have effects at all

[vivid halo]

at higher doses there are some notable differences

[neat lintel]

it's just fucking drugs

[vivid halo]

at lower doses it's really hard to tell the difference

[neat lintel]

if i have mental health issues i think I'll stick with just advice from therapy not taking any drugs at all

[vivid halo]

that's stupid advice

you're mentally ill so you should just raw dog life without meds

[neat lintel]

yea my unc just kept punching walls here

[latent edge]

damn I wanna learn more dynamic programming

I just realized my uni doesn't have a deep course dedicated to it

self study time

[jagged forge]

i still need to learn the actual math behind it

[neat lintel]

learning how to code is fun for me until i realized i need math

[latent edge]

do code without the math : bad
do code with math : paradise

[neat lintel]

[visual breach]

I mean, you know python right

[latent edge]

yeah

[visual breach]

Ah wait

[latent edge]

that's what I mostly use for math

[visual breach]

Dynamic programming, not dynamically typed

[latent edge]

lmao

[visual breach]

Algorithm courses should talk about dynamic programming imo

Any which glosses over it is just bad

[latent edge]

They do but as you know me

I don't trust my courses

🗿

They just scratch the surface

Last semester I had lin alg cuz it was mandatory for my degree

I was studying probabilistic number theory and sieves the whole semester

[visual breach]

Cracked

[latent edge]

tho I almost got recieved a critical hit with stats

I was taking stats with lin alg

oh and calc 2 as well

usually cs majors just take 2 at a time but I literally just took 5 math courses in one shot

I kinda regret it now tbh

they were fun to attend and skip as well

[visual breach]

But you knew most of them, no?

[latent edge]

now that I am left with braindead cs courses

yeah all of them

[visual breach]

Ahhh

Now that is an issue

[latent edge]

im gonna convince my AG prof to open a class for AT

[visual breach]

Just create your own web services during the time!

[jagged forge]

absta did you know there’s an iterative form of dynamic programming

where you can stop as early as desired

[visual breach]

Oh

Never thought about that, but reasonable that it exists

[jagged forge]

yeah

dynamic programming is also very related to reinforcement learning

except in reinforcement learning nobody knows wtf “optimal” means because it’s too difficult so they just use other random methods or something

idk

i spent about 2 days reading about it and forgot everything

[latent edge]

so real

mfw when people use the greedy algorithm for everything

[visual breach]

Sometimes yhere is no options

[latent edge]

just use greedy u will def get the answer
the guy who was following the path all along: "why did I end up in gulag wtf"

[jagged forge]

well i use dijkstra for everything

[latent edge]

I tried randomizing prime numbers in a binary tree then ran the greedy algo. Each time the tree changes then I graphed the results to see some probabilistic results

[jagged forge]

and i’m told dijkstra is greedy

therefore i will end up in the gulag

[latent edge]

use dijkstra when you have negative numbers so true

[jagged forge]

i have vague memories of this going badly

[latent edge]

real

I don't quite remember the extended version

I forgor the name

whatever I just call it extended dijkstra's algorithm

[rocky shuttle]

Floyd-Warshall?

[strong badge]

What algorithm

I am listening for the first time

[uneven tinsel]

And I am reading for the first time

[paper timber]

Do you guys help with math?

[uneven tinsel]

Yes but only to those who can state the Pythagoras theorem

[old oak]

something something squares

[low ore]

#❓how-to-get-help

[surreal sapphire]

ok?

[old oak]

It's true

[glass osprey]

Does anyone play rocket league

[uneven tinsel]

[wintry niche]

wait, you play that game as well?

[quaint void]

helo

hello

hola

[dim vessel]

Is there a knot theory section in this server?

[surreal sapphire]

#point-set-topology

nothing more specific

[dim vessel]

It seems interesting.

Thank you 👍

[clever dagger]

which channel should i use for operator algebras?

[surreal sapphire]

#advanced-analysis

[clever dagger]

thanks.

[silk drum]

hello
Pls review help-10
I need iurgent help

[uneven tinsel]

Mathematics is universal language and my favourite letter of this language is inverted A

[clever dagger]

i personally don't like when people say math is a language, it feels reductive... math has a language, but the language isn't everything

[surreal sapphire]

mathematics is a cultural phenomenon

[half dock]

i dont either, but im a pure math boi rather than applied, physicists and the like are more likely to think of it as "language"

[uneven tinsel]

It's the only language where people know their limits

[pulsar finch]

Universal quantifier?

I really like that symbol aswell

[uneven tinsel]

My teacher told to read it as for all

It looks like inverted A

[half dock]

Ok, is your favorite capital greek glyph $\Xi$, $\Phi$, or $\Psi$? These are the only reasonable answers

[fathom swallow]

terdragontra

[half dock]

(ok im lying to be provocative)

[uneven tinsel]

This looks very complicated

[neat lintel]

psi looks coolest

[half dock]

ah, yes, poseidon's answer

[neat lintel]

lol

[half dock]

https://en.wikipedia.org/wiki/Zhe_(Cyrillic)

the evolved form

oh, that didnt make the image appear, indirect image posting is restricted too it seems

[neat lintel]

uh wdym

cryllic was created after greek

[half dock]

i just meant that character specifically, its like a doubled psi

[neat lintel]

yeah

[sonic sentinel]

anyone have sad/melancholic music reccs for me

its night and i want to sit on the balcony and stare

thx

[clever dagger]

https://www.youtube.com/watch?v=ZgHdUeMHTwc

[uneven tinsel]

Listening to sad music while doing geometry questions is a different kind of fun altogether

[robust brook]

are you listening to sad music or doing geometry

[uneven tinsel]

Neither of them

But it should be done simultaneously to see the full effect

[lucid steeple]

Don’t know if it’s the vibe you’re looking for but Malibu 1992 by COIN is my favorite

[static loom]

I think $\Omega \Lambda \Psi \Theta \Gamma$ tend to be pretty cool

[fathom swallow]

Mero

[robust brook]

doing geometry by itself makes me sad

[uneven tinsel]

That's why you get the feel of sad music with it

[half dock]

liana flores's new album Flower of the Soul! My favorite track is Nightvisions, then Orange Coloured Days, and Crystalline

i found her from her song "rises the moon", which touched me very deeply during a very dark time

[robust brook]

is there such thing as sad jazz

[main elbow]

spiegel im spiegel

purcells when i am laid in earth if youre feeling dramatic

[sonic sentinel]

i thought this was a joke

i read the start as "purecels when i am laid in earth"

[main elbow]

😭 lmao

[sonic sentinel]

and my thought was "what the fuck is a purecel"

purecels seething rn

[main elbow]

mojave 3 'excuses for travellers' has quite a nostalgic vibe

maybe nick drake pink moon

[sonic sentinel]

someone already sent it

i think malibu 92 was the best vibes match of all the songs i listened to so far

i also listened to one liana flore song

[main elbow]

oh lol, it is a v good album so would def rec to listen at some point

also pretty short, like 30 mins

[sonic sentinel]

its an album?

[main elbow]

yeah

but it has a title track

[sonic sentinel]

album and song

[main elbow]

so maybe you just got sent the song

yh

[main elbow]

ooh yeah im just listening now

good vibe

mazzy star fade into you, not the same vibe though

[neat lintel]

i love that song so much

discovered it during a binge of Gilmore girls

[main elbow]

yeah its so good

real hard hitter though

i think the album overall is p. good acc but that song def stands out

rly got to listen to more of their stuff

[lucid steeple]

Different vibe from Malibu 1992 but I also like The Subway Song

[tiny willow]

GUYS HOW DO U STUDY FOR GEOMETRY 2nd SEMESTER 1st summative assessment

[static loom]

I only remember what I did to STUDY FOR GEOMETRY 2nd SEMESTER 2nd summative assessment

[velvet dagger]

You posted this already in discussion, do not spam. Also this isn't the same at each school, we have no idea what your summative assessments look like

[craggy linden]

bruh why did the bot close my help channel

like what

nobody even answered

[uneven tinsel]

Because the Bot is always right

[craggy linden]

what

should i post it in another help channel again?

[uneven tinsel]

I think if it is closed there is still chance to open it

[uneven tinsel]

But if you missed that chance then yes imo

[craggy linden]

i cant

someone else asked more questions in it

and now im unable to msg in it

[clever kiln]

Sorry to interrupt you, can I ask a question about logic and mathematics?

João and Ana are counting the houses in a circular square, counting clockwise and considering that the fifth house counted by João is Pedro's twelfth and João's thirtieth house will be Pedro's fifth, how many houses does the square have?

[full copper]

use #help-9

[odd narwhal]

Why are you suggesting someone use an occupied help channel?

[fresh comet]

it was not occupied at the time

[odd narwhal]

Ah, my bad

I thought the times lined up

[nimble fulcrum]

@light horizon since you were curious about my question

ok. my current cgpa on a 10.0 scale is 6.6 (2nd sem student in a NIT) if i make it back to an 8 by sem4, what are my chances of getting in to say, UC berkeley as a transfer student? i believe a 8 cgpa would be a 3.2 on the 4.0 scale. my co-curriculars arent interesting(i hear it matters a lot for american unis) i won 5 sport medals, 4 quiz+spell bee competitions at my school level, so nothing great. my jee percentile in math in 99.3 (meaning i scored better in math than 99.3% of other students). what advice would you give me to do a succesful transfer? i code a bit in my free time, and am going to get more involved in math, debating clubs at my college. anything else i should do?

my gpa was actually 8.16 in sem1 but due to some problems it dorpped by a lot

sorry for pinging, ignore if youre not interested

my choice of major is math/phy

my 10th grade was 93.5, and 12th was 85

[light horizon]

How much financial aid do you need

[dire stump]

the problem is many of these metrics are based off different standards/scales from what american unis use so it's hard to gauge the competitiveness of your application, the other thing is that i'm sure international acceptance rates are already low and transfer rates are probably lower

[nimble fulcrum]

uh will think about it if i actually have a chance first

but ideally atleast 30%

[light horizon]

Intl transfer rates to cal are probably almost 0

And their gpa isnt great

[nimble fulcrum]

uc berekely has high transfer acceptance rates, but 0 aid for internaionl students

[dire stump]

if you use reddit, i'm pretty sure there's a subreddit called r/chanceme

[nimble fulcrum]

ivys have low rates, but good aid

[nimble fulcrum]

alright

i will look into it

[visual breach]

What is intl transfer?

[light horizon]

Well high transfer rates from California community colleges

[visual breach]

International?

Ah, makes sense

[light horizon]

Chance me is stupid

[nimble fulcrum]

i read that 90% of transfers are from community colleges

[dire stump]

oh i didn't know, haven't personally used it

[light horizon]

Maybe a little more

[nimble fulcrum]

what do you think of my chance, then?

yeah

[light horizon]

Low

But that’s kinda obvious

[nimble fulcrum]

any way to improve?

i mean what would you want to see?

[light horizon]

Uh cure cancer?

Idk

[dire stump]

it has nothing to do with your ambition or intelligence or capabilities or anything else, it's just really hard to get in with such low international acceptance rates

[light horizon]

That gpa is hurting you

[nimble fulcrum]

oh and one more question if you dont mind

[light horizon]

And without it your chances are just bad a priori

[nimble fulcrum]

when they ask to submit gpa, will i have to submit at time of application of at time when my year gets over?

or*

[light horizon]

Submit the grades that have been finalized

[visual breach]

I would rather consider fresh entry exam than transfer

[storm scroll]

Hello

[nimble fulcrum]

i finished first year already

[light horizon]

There isn’t one

[nimble fulcrum]

year 2 begins in a month

[visual breach]

Huh?

Wdym, they don't accept international students at all?

[nimble fulcrum]

caltech is also going to be hard right? i hear they have their own transfer entry exams. if i ace those, would i have a chance?

[light horizon]

Caltech is basically not happening if we’re being realistic

[nimble fulcrum]

ok

[light horizon]

You can apply

[nimble fulcrum]

any college you think i have a chance tho?

[light horizon]

Because chances are nonzero

[nimble fulcrum]

i mean a good chance

[light horizon]

Consider applying to a range

You’ve only mentioned prestigious unis

Consider less selective ones

[visual breach]

There is a uni in Montana, right?

[light horizon]

Several

[nimble fulcrum]

yeah coz no point spending too much money studying abroad, and maybe studying an year extra only to go to a college that isn't "worth it"

[light horizon]

Why do you mention Montana specifically

[nimble fulcrum]

anyway thanks a lot bros

appreciate it

[dire stump]

the infamous montanese views, clearly

[visual breach]

Low population (and view, yeah)

[fresh comet]

Montana is also the only state to have banned TikTok too

[covert oracle]

Funniest shit ever

[nimble fulcrum]

bro

😦

[covert oracle]

I'm an Indian too

[nimble fulcrum]

really?

which college?

[covert oracle]

IISER

[nimble fulcrum]

ah nice

[covert oracle]

Not the best one for math

[nimble fulcrum]

i had got chance for iiser too

rank 1269 last year, got kolkata

[covert oracle]

Lmao we all know Kolkata is trash

[nimble fulcrum]

but chickened out like an idiot and regret so so much :((

wait really?

[covert oracle]

Top 10 clutch moments of all time

Yeah

[nimble fulcrum]

which one are you in

[covert oracle]

Tvm

[nimble fulcrum]

malayali aano?

[covert oracle]

Endara myre

[nimble fulcrum]

bro

i am from nitc

[covert oracle]

Yuh

Kozhikode?

[nimble fulcrum]

yeah

[covert oracle]

Lmao

Small little world eh?

[nimble fulcrum]

i mean i am from blr

[covert oracle]

So why do you want to transfer in the first place?

[nimble fulcrum]

but studing in kozhikode

[covert oracle]

Aah toda toda hinthi aata

[nimble fulcrum]

i like phy/math + dont like my course

[covert oracle]

Ignore my remarks

[nimble fulcrum]

i speak urdu at home

[covert oracle]

Too bad, deal with it (sadly)

[covert oracle]

Damn

[nimble fulcrum]

yeah cant help ig, i even gave advaned this year but failed

[covert oracle]

🗣️🔥

[nimble fulcrum]

youre a 2nd year?

[covert oracle]

Partial drops aren't effective

I'm a thirdie

[nimble fulcrum]

oh

[covert oracle]

What's ur course?

[nimble fulcrum]

dropping out? or continuing?

[covert oracle]

I'm continuing

[nimble fulcrum]

grat

great

i am from production

hate it

lol

[covert oracle]

I haven't even started my major year technically

[nimble fulcrum]

lucky you bro studying science

[covert oracle]

Well

I don't like science

I only do math

[nimble fulcrum]

whyd you take it then?

oh yeah

ok

[covert oracle]

Because failing health

[nimble fulcrum]

a beautiful mind?

[covert oracle]

Uhh

[nimble fulcrum]

the movie

[covert oracle]

Not so romantic of a representation

[nimble fulcrum]

do you think nptel courses help

i took like 6 for the coming sem

5 in math, 1 in physics

سلام موسی

[storm scroll]

Sasuke

I like sasuke and naruto

[nimble fulcrum]

you didnt reply:(

[covert oracle]

Yeah they do

What courses specifically?

[nimble fulcrum]

um

nuclear and particle physics

introduction to group theory

number theory

combinatorics

algebra-i

linear algebra

[covert oracle]

Bruh

And

[nimble fulcrum]

??

[covert oracle]

Did you get certificates?

Did you get a good score in them?

[nimble fulcrum]

no, the courses are in the coming sem

i havent paid the fees for the exam yet

i just want a way to escape engg and get into math/phy

thought this could help in getting to ucb/ivy league but just got reality check lol

[covert oracle]

Hmm

Well

I'm assuming you're in a BTech course?

The only option is to focus on your degree atm

[nimble fulcrum]

yeah, mechanical engineering bascially

[covert oracle]

And go for an MSc later on

From an IISER/IISc/TIFR/CMI/ISI whichever is spplicable

[nimble fulcrum]

research in bad and dead in india tho, isnt it? lot of unfair practices ive heard

[covert oracle]

Bhai

It's an MSc

A master's course is nowhere near actual research stuff

It's just 2 years

[nimble fulcrum]

hm

should i even think of a transfer?

[storm scroll]

Guys What are you talking about?

[nimble fulcrum]

سلام

[nimble fulcrum]

how to become a math dude

[storm scroll]

okay

[nimble fulcrum]

خورزمی

[covert oracle]

Do more math

[covert oracle]

Not worth it

And not possible

[nimble fulcrum]

damn

why wouldnt it be worth it?

the not possible part i get

[nimble fulcrum]

oh and dude

as a year 3 student

are you able to solve putnam questions?

[covert oracle]

No

Too slow

[nimble fulcrum]

my degree is a waste isnt it

[covert oracle]

I've lost my flair for olympiad math or anything close to that

[nimble fulcrum]

if i go for a msc

[covert oracle]

Not really

If you wish to transition to math/physics, you need an MSc

[nimble fulcrum]

since i spent months studying stuff i didnt need to like management and engineering graphics

[nimble fulcrum]

i mean my btech degree

[covert oracle]

Firstly, transfers have high academic requirements

[nimble fulcrum]

my btech degree would be a waste

[covert oracle]

Not really

You have the chance to complete your master's without having to do another bachelor's

Isn't that an advantage already?

[nimble fulcrum]

thanks for this samsaram uta eda

may you prove the reimann hypothesis

[covert oracle]

I don't want to

For some reason, analysis isn't exciting

I feel sorry for Tao

[nimble fulcrum]

bro

[covert oracle]

He didn't study algebra enough 😔 🙏

[nimble fulcrum]

are people in your class actually passionate about their major?

[covert oracle]

Some

[nimble fulcrum]

mine arent

[covert oracle]

And by some, i mean 5-6 out of 20

[nimble fulcrum]

i hate siting in my class

[covert oracle]

Then stand?

[nimble fulcrum]

still hate it

[covert oracle]

6 nptel courses is a recipe for disaster

[nimble fulcrum]

why tho

[covert oracle]

Shripad Garge's NT course is painfully sloe

It's 6 courses bruv

Too hectic

[nimble fulcrum]

idk man i will conquer math or math will conquer me

[covert oracle]

Not wise

[nimble fulcrum]

cant let engg get to me before either do

[covert oracle]

Take it slow

I suggest you take linear algebra and the group theory course for noe

Algebra 1 is technically a graduate course

[nimble fulcrum]

when i was 15 i thought i would win the putnam prize. now i now i shall not live to be in an algebra course

[covert oracle]

Lmao

I have the physics equivalent of that

[nimble fulcrum]

which is?

[covert oracle]

Check #chill

[fresh comet]

algebra is a graduate course?

[nimble fulcrum]

bro uta

[covert oracle]

Yeah

[nimble fulcrum]

howd you know who the prof was

[fresh comet]

wait, really?

[covert oracle]

Which prof?

[nimble fulcrum]

garge

[covert oracle]

Algebra 1 is a misnomer

[fresh comet]

isn't it part of the standard UG math curriculum worldwide?

[fresh comet]

is this commutative algebra or smth

[covert oracle]

Yeah, but it's on the level of dummy and foote

[fresh comet]

or alg geo?

[covert oracle]

Nope, it's groups rings and modules

But the course doesn't go into much detail explaining stuff like they'd usually in a ug offering

[latent edge]

Very normal in my uni

[fresh comet]

but D&F is used in many UG algebra courses, is it not?

[covert oracle]

oh yeah I tried that course

[covert oracle]

Is it?

[fresh comet]

ah, is algebra not a standard UG course there?

[fresh comet]

I thought so

[latent edge]

No

[covert oracle]

It's usually Herstein or Gallian or Pinter for ug texts

[fresh comet]

so you can graduate w/o it?

???

[latent edge]

Yea

[fresh comet]

that seems stupid

[fresh comet]

oh

huh.

[nimble fulcrum]

i am impressed how you knew who the nt professor was

[fresh comet]

I think we use D&F here for UG

and Gallian for the grad students

[latent edge]

I used neither

[covert oracle]

Bruh

Gallian for grads???

[fresh comet]

yes, but you are better

[covert oracle]

Holy

[fresh comet]

wdym

I'm pretty sure the grad algebra courses here are meant for students who don't already have a strong background coming in from UG though

[fresh comet]

oh whoops

I misspoke

you'll have to forgive me lol

for some reason I thought I had written "Grillet" instead of "Gallian"

[latent edge]

We have 3 grad courses for algebra

[fresh comet]

3am brain kicking in hard

[latent edge]

1. Group
2. Ring
3. Field and modules

[fresh comet]

hmm

any more advanced courses?

[latent edge]

No

[fresh comet]

hm

what about for analysis?

[latent edge]

Grad or?

[fresh comet]

yes

[latent edge]

Not so much tbh

[fresh comet]

grad

what does your uni offer grad courses in then

topology?

[latent edge]

The majority of courses are dedicated to computer science brainrot

And a bit of model theory

[fresh comet]

hmm

CS students are taking graduate math courses?

[latent edge]

yeah very little do

They are not math courses per se

CS courses

[fresh comet]

icic

[latent edge]

well more like math designed for cs

[fresh comet]

oof

[latent edge]

80% of it is just linear algebra

[fresh comet]

[latent edge]

So u could say they are taking grad level lin alg

Whatever that means

[fresh comet]

perhaps LA at the level of Roman then?

[latent edge]

maybe idrk

I see phd students do what they want tho

That's because they come here specifically for that one particular prof

Because they share interests in the same field

[fresh comet]

interesting

[latent edge]

But they still have to get through a bit of brainrot yeah

I heard once that one prof failed one of his students just because he got 89% in his analysis course instead of 90%

[fresh comet]

tbf, I think most students go through stuff they already know very well at least one point in their academic lives

[latent edge]

So he went away with a masters instead of a phd

[fresh comet]

w h a t

that's brutal

[latent edge]

The funny part is they don't even do analysis

It's all geometry

[fresh comet]

😭

I would be devastated ngl

[nimble fulcrum]

if a square is a2 and b square is b2 then where does the extra 2ab in a+b whole sqaure come from?

[latent edge]

I feel like there is a toxic culture around analysis here for some reason. They called me genius for doing a presentation on something related and the whole time I was wondering "wtf?"

[nimble fulcrum]

bro

[gritty crater]

$(a+b)^2 = (a+b)(a+b)$

[fathom swallow]

Closer

[fresh comet]

what do you mean by toxic culture?

[nimble fulcrum]

i am a second year engineering student

the prime of minister of endia asked thaat question

i thought it was funny

[latent edge]

idk it's kinda like how most students don't like English in HS

[fresh comet]

oh I see

[gritty crater]

😳

[latent edge]

And they would avoid it like the plague

[nimble fulcrum]

uta also said he doesn't like analysis

[fresh comet]

I think analysis is respectable, even if I'm not the biggest fan of it

[nimble fulcrum]

why

[fresh comet]

I think that people who intentionally avoid one part of math like the plague are missing out on a broader picture, so to speak

why do you need to know?

not at the moment, sorry

[latent edge]

Tbh they don't really care much. They just want the phd and get stuff done

[fresh comet]

it's not hard to find out where I am though

[fresh comet]

what kind of phd students are there just to get the degree and leave?

isn't that against the purpose of doing a phd

[gritty crater]

You don't need a PhD to do a job

[fresh comet]

I would expect them to at least have an eye for research though

[gritty crater]

[fresh comet]

or at least care a bit

[latent edge]

wait until u hear the story of the guy who bribed his prof to get his phd done

the rep theory prof is wild ngl

[fresh comet]

oh, more stories?

goodness

do I even want to hear more about your uni horror stories

[latent edge]

real

Which is why I'm straying away from academia and instead go the independent research path instead. I don't really care whether I discover something interesting or whether someone else discovers the same thing I'm interested it, I would still consider it a big achievement for me

وعليكم السلام

[fresh comet]

that’s totally fair.

I wish you the best of luck with that route

it’s a tough road to walk as well, but I have faith in you

I need to sleep

[latent edge]

Same

كندا

🇨🇦

Idk getting forced at gunpoint

Neither

I thought you eat whatever you want on these days lol

Do you guys have like a tradition to eat these stuff

lmfao

[neat lintel]

my text rushing in to the right at high speed the moment arabic comes up

i do not understand it myself

i am not a burger

i also do not speak only englush

damn we are the same person

i can not send images here fuck,.,.,.

not started yet

going to a certain place in a month tho

yeah

yeah

fellow sufferer

cse

that i'd like not to say

i have

don't beat yourself up over allat stuff..... most people don't even recognise the men in my pfp...... life is sad

theres like a morbillion people who give the exam you're still in a very high percentile among them

just call me bro i'm fine with it

yes

[neat lintel]

im crying

i was talking to a ghost apparently

you still are

true

i can talk to ghosts

[covert oracle]

I do like harmonic analysis

Which is not even all of fourier analysis

And since i plan on doing stuff in quantum information, it makes sense for me to study fun anal too

I don't like real and complex for some reason

Which explains why I've been procrastinating completing the latter half of complex, i need that to study algebraic curves after all

[lost crater]

all analysis is real analysis

[old oak]

It's real and it's spectacular

[sterile pumice]

Ok discussion1 seem to be talking about food so ill repeat here.

Would you argue that 0.8^infinity is equal to 0?

[tawdry spindle]

Yes for the interval ]- 1,1[ that is true

[deep mango]

Yes definitely

I see no way to define it where that fails

[verbal karma]

I can't get used to that notation.

I mean, it is open

[tawdry spindle]

It's french notation

[verbal karma]

yeah. the point is when I see that and I be like, what the hell is this sorcery everytimes

and then. Ah, it is open

[tawdry spindle]

Yeah some notation/terms vary greatly between nations

[clever dagger]

sorry to interrupt, but what resources do you people recommend for free, projective and injective modules and exact sequences? preferably with lots of examples

[brittle socket]

Real.

[onyx reef]

https://youtube.com/shorts/UabsG76FJZQ?si=HJWv8r5Lk2lqf9X8

What field of math does this come under?

[verbal karma]

geometry?

I mean, it intertwine with different fields

[old oak]

Depends what exactly you mean by "0.8^infinity", but in the context of limit arithmetic (where I'd most expect to see an expression like that) 0 is going to be the value.

[verbal karma]

measure theory has something to do with it, complex has something to do with it, stochastic calculus has something to do with it, and so on

[craggy linden]

why does math feel to wear me down

like i love learning it, but doing questions just starts killing me (true for all subjects tbh)

[uneven tinsel]

Because our brain don't like to think a lot like watching movies or playing games seems interesting to us but when it comes to thinking our brain naturally doesn't like except few people

Problem solving is active process and takes lots of thinking

[craggy linden]

i dont believe that to be the case

i in general self-learn math so learning actually requires a LOT MORE thinking than application

in fact solving questions feels boring and wasting time to me (although that isnt the case because that is the only way i can get proficient at any topic)

[main elbow]

maybe you have got only boring questions ?

[craggy linden]

i learn math by first finding a random thing, checking out it's applications and stuff, and deriving the thing myself (sometimes even end up in a topic loop due to this but that is still funner than doing questions)

[craggy linden]

idk most people in my vicinity do them without getting bored

[main elbow]

can you give an example of a topic youve learned recently / currently learning ?

[craggy linden]

i dont really remember tbh, i never complete a topic in one go...

[clever dagger]

i'm sorry, but i disagree completely, you need to solve questions to really learn math, just "knowing" is not enough. i know because i've went through this, if that's what you're referring to

[main elbow]

you cant think of any math thing you learned recently ??

[clever dagger]

are you really just bored or you can't solve stuff?

[main elbow]

ah thats a good point, are you solving the problems but are bored or are you bored because you get stuck ?

[craggy linden]

pretty sure solving just makes u proficient not really helps me in learning anything tbh

[craggy linden]

i keep gaining knowledge about stuff but like formally i never complete most of the topics i learn

[craggy linden]

nah im relatively good at solving questions

[clever dagger]

well, if we're talking about stuff like pre-college algebra maybe, but stuff you'd see on a math degree absolutely needs to be solved

[main elbow]

then probably youve doing too easy/rote/uninteresting problems

[craggy linden]

how to get harder ones?

[main elbow]

ok if you cant say ANYTHING youve learned, can you at least say what level it is youre working at?

[main elbow]

depends on what youre doing, thats why i was asking

[craggy linden]

i cant specify that as well, sometimes i just dig deep into grade 10 stuff, other times im trying to learn like bachelors in math stuff

i really dont follow any disciplined or formal routine while learning so even the questions i do vary A LOT in terms of difficulty

[main elbow]

surely you can say one thing, im not asking for like 'pre-calc' or 'analysis' or anything

can be as small as 'quadratic formula' or 'matrices' or 'formal definition of a limit' or anything

[craggy linden]

sometimes ill be doing my own textbook, sometimes doing imo questions

[craggy linden]

let's go with quadratic ig (thats what they're teaching at school although i did school level 4yrs back)

[main elbow]

well thats not a good example then, im after something new-ish to you

[craggy linden]

i havent really learnt anything recently coz of school load and my burnout

[main elbow]

surely something more recently than 4 years ago though

[craggy linden]

is 1.5 good?

[main elbow]

sure

[craggy linden]

high school calc then ig

i tried doing uni calc but i was too lazy to learn matrices and then i got bombarded with hw and exams

[main elbow]

ok given everything youve said, i feel like putnam qs might be a good fit for yyou

they tend to be more problem solving oriented rather than rote application of a specific piece of maths - so you can draw inspiration from all over the place

also they can cover vastly different topics, again suiting your liking to jump about

and obv putnam has some notoriety for being hard, i promise a lot of the qs arent actually that bad and im sure you could do some

[craggy linden]

you mind sharing some sources?

[main elbow]

so id say just go have a look at some papers, see if any questions interest you https://kskedlaya.org/putnam-archive/

[craggy linden]

tnx

[main elbow]

the questions get harder the higher the number

so A1 and B1 are the easiest and A6 and B6 are hardest

[craggy linden]

what is the syllabus of putnam

[main elbow]

its an undergraduate competition, so anything you might find in ug

but a lot of it can be solved without any of that

[craggy linden]

oh

[main elbow]

just problem solving

[craggy linden]

btw im not really that aware of what comes in ug so...

[main elbow]

i wouldnt worry about it

[craggy linden]

oh

[main elbow]

if you look at a question and think its interesting, give it a go

[craggy linden]

sure but like it feels really bad that once i finally am not able to do a question, i check it's solution and find i couldnt do it bcs i didnt know this specific topic

[main elbow]

i dont think thatll be as common of an issue as you think

[verbal karma]

some putnam is tricky and some of them are just you seeing what they hide

math problem is not about solving the problem but solving it in an elegant way

can I do this easier

[craggy linden]

ah yes this is what i seek in questions

[verbal karma]

putnam is something along that line... for some questions

[main elbow]

id say like half of putnam qs you can do without explicit undergrad knowledge

[verbal karma]

because you might see the straight way to solve it. but that might be too much or too hard

[craggy linden]

like i havent even completed grade 10 formally so yeah

[main elbow]

id say youre good to go

theyve very much more 'problem solving' style qs rather than question on a specific undergrad topic

[craggy linden]

damn

nice

ill give it a shot and let u know

(although id still prefer knowing the syllabus but bcs u have so much faith in me...)

[verbal karma]

math syllabus in college is wild because you can learn anything... if that college has something to offer. But I think you can look for test outline or blueprint online

[gaunt dock]

honestly speaking there are better things you can do in ug than putnam

most people don't "prepare" for putnam in the undergrad years

either they perform well because they were already IMO medalist from high school

or they just pick another path like research

[craggy linden]

so doing imo will make me automatically good at putnam?

[north topaz]

no

Putnam has more advanced material such as calculus

also depends on what you mean by 'good', cause the median score is around 3 points out of 120 in Putnam

[craggy linden]

no like in terms of math skill

[north topaz]

IMO can be good preparation for Putnam

if that's what you're asking

[craggy linden]

well

so hypothetically if im good at imo, and learn the syllabus of putnam and become as proficient as i am at other topics on those as well then what would be the case?

[main elbow]

you cannot just 'learn the syllabus', or at least this is not a trivial thing to just do - you can do an undergraduate in maths though

and yes being good at imo will mean that you have strong problem solving skills which will carry over well to any maths

[craggy linden]

"hypothetical" 🤡

[main elbow]

i dont really know what you are asking

basically what you have said is 'if i have very strong soft mathematical skills (i.e. problem solving) and a good background in theory what i can do' well anything that you could do after getting an undergraduate degree

[craggy linden]

so how would i perform in putnam?

[main elbow]

likely well

[north topaz]

only one way to find out, by practicing papers

[main elbow]

but i dont understand the utility in this line of questioning ??

[north topaz]

exactly you seem a bit confused as to what you are asking

[craggy linden]

wha

[main elbow]

why are you asking 'if i was good at imo and knew a lot of math how would i do on the putnam'

[north topaz]

yeah like why are you seeking validation from us, cause it sounds that way to me

[craggy linden]

bruh what

i was just asking

[north topaz]

okok

[uneven tinsel]

Calm down people just take a deep breath and hold for 10 mins

[dull tendon]

I've been holding onto my cat for ten minutes now. What now?

[static loom]

https://media.discordapp.net/attachments/593981014943203329/1170596393409335306/IMG_2240.gif

[uneven tinsel]

[craggy linden]

how did u reply that in 2mins after the msg...

[uneven tinsel]

I gave wrong instruction due to bad English should have said hold it for 10 min

[uneven tinsel]

Time travel

[verbal karma]

maybe they just hold it 8 minutes before reply

[uneven tinsel]

Ban this cat from the internet

[verbal karma]

why me?

oh, you probably refer to other cat

[uneven tinsel]

[sonic sentinel]

what the actual fuck?

i thought it was something like 1 in 500

cause we got a middle schooler with albinism

~1k people in our school, wolfram says that's 4.9%

its statistically significant

[verbal karma]

what is significant?

[sonic sentinel]

chance of having someone with albinism at school

(if i hadn't looked at the data beforehand and actually made a hypothesis about the rate of albinism at my school)

(but also this is like one individual im guessing there's more to it?)

[wispy lava]

• -a + b + c + d
  or
• a - b - c - d

[sonic sentinel]

im guessing its related to this?

what does it even mean

explain like i just finished high school

[pulsar finch]

Haha

One days you take Ls one days u take Ws, but at the end of the day you still need to solve math exercises

[verbal karma]

I mean, statistical significance requires you to test something... so to say 5% is significant is not sensible here strictly speaking

[sonic sentinel]

the most horrifying part of existence

[uneven tinsel]

Geometry most horrifying

[fresh comet]

compactness!

[visual breach]

O did you learn it

[fresh comet]

I did learn the finite subcover definition yes

though only for R^n

idk how it goes for general topological spaces yet

[visual breach]

I mean, this is good enough for most cases

Manifolds are all locally R^n

[fresh comet]

[celest flume]

HELLO

[limpid magnet]

Discussion 2

[uneven tinsel]

Discosession 2

[peak tide]

same exact definition for general topological spaces!

[fresh comet]

[stone saffron]

[placid wedge]

deadline very close + burnout

[stone saffron]

[uneven tinsel]

Click here to complete your hw in minutes for free
www .safephishingsite .oops

[sonic sentinel]

up until like grade 5 i didn't know you breathed through your nose i thought everyone breathed through their mouths

so whenever breathing came back to manual mode, like if i thought of breathing or something, i'd start breathing through my mouth and people would ask what's wrong

[sonic sentinel]

in my defense breathing through your nose is practically imperceptible and its not like i had some way to bring it into conscious awareness. because if i brought breathing it into awareness you would just end up with the problem in last message.

and its like what the fuck were other people just born with this knowledge? did somebody just tell them early? did they pick up on it from their body and i couldn't because im stupid?

??????

[fringe summit]

gonna be real thats a big skill issue

[brazen mulch]

discrimination outside examination

[orchid stone]

That's actually sad knowing how much not breathing through your nose affects physiology of your jaw bones and such, esp for young ppl growing up

[verbal karma]

does not work

[tall moat]

a

[brazen mulch]

a

[green bridge]

Given a set of K numbers, all of which are not 0 (mod K), is it true that at least one subset of this set will have a sum of 0 (mod K)?

[uneven tinsel]

I thought I could trap this cat but this cat very smart

Will use different bait next time

[errant pivot]

I have a drawing app, where the pen paints where the mouse moves, but since the mouse is quite jittery the lines aren't smooth as it should be, I don't really know what math topic to look into to calm down the jitterness without affecting turns (every mouse movement x,y axis is saved)

[glass peak]

Im guessing its an anti-ailising issue, no idea how AA works, but its what you want to look at

Like computer screens are all just little squares so doing curves is hard, you need to add like grey pixels around curves to make them look smooth

[small dust]

i believe so. apply pigeonhole principle to the “partial sums” of the list of numbers

[errant pivot]

I can see that, in one app where it looks like it has blurry edges around curves but that's only on actual curves, in my app the lines look jiterr-ish even tho its a slight up and down

But i'll look up anti-ailising for now, thx 👍

[green bridge]

Let's take prefix sums
Clearly, each prefix sum cannot be equal to any of the prefix sums before it. As a result, there must be K distinct prefix sums mod K, because if there was a duplicate prefix sum, you could just subtract the previous duplicate and get 0(mod K).
As a result, at least one of these prefix sums MUST contain 0 (mod K), if the size of the set is at least K.

Is this logic right?

[small dust]

how is the first thing clear?

it sounds wrong lol

based on the sentence after that i presume you mean not equal mod K, not just not equal as integers

for a counterexample take K = 4 and the 4 numbers as 2, 6, 10, 1

[sonic sentinel]

its not something i did on the regular. here and there i'd remember the act of breathing and then i'd look stupid. normally i'd breathe through my nose but for the reasons i mentioned previously i couldn't consciously pick up on it.

[uneven tinsel]

I think you should stop worrying about it and move on and cherish the precious life and live it full

[lunar orchid]

Hey guys, I was wondering whats the best method and what the best websites are to revise for my maths GCSE in 2025

[uneven tinsel]

Before revise you have to learn the full course

[sonic sentinel]

you're in on it aren't you

[uneven tinsel]

Wdym

[sonic sentinel]

stop worrying and just enjoy myself? you thought i wouldn't catch on?

[uneven tinsel]

Whatever I said was with good intention

[pseudo sluice]

Hello, I don't think this fits into a math question channel.

Anyways, this is a question geared towards people who have walked a similar self study path that I am walking, unless if you have good advice to give regardless. I left off at Single Variable Calculus at college and now I'm revisiting Math, currently working through Stewart's precalculus. My goal is to get through Calculus 1, 2 and 3 on a more rigorous level of just knowing the methods of Calculus, with hopes of going further to Real Analysis if I can hack it.

My question is, what should I look for in terms of pitfalls or advice as to not jeopardize my self learning because of the lack of a guidance figure like a professor. Is it even feasible past Calculus 1 to learn past formal methods, writing proofs with no one to tell me if they're correct.

I suppose that this is a question to set up my expectations for the future and to know what to do when in the situation of ambiguity that comes with self-study.

I'm already on the sort of journey of self study, but right now I'm in extremely familiar waters, but I won't be when I attempt to pick up Apostol as my second intro to Calculus

[surreal sapphire]

people have done it before

but why not just post your proofs on this server and ask if they are correct

[pseudo sluice]

legendary response, im probably too scared to do it which is why i didnt even consider the possibility

you're right though, i honestly should just use my peers as guidance

a lot of smart people out there

[old oak]

And also us!

But yeah, what Lochverstärker said, people post their work for feedback all the time in this server.

[pseudo sluice]

yeah, I'm glad to know that my goal is somewhat realistic as well

[uneven tinsel]

Finally a worthy opponent for cat lovers

[old oak]

From my observations the biggest challenge people have with self-study is the pacing.

In a structured course you know how long you're expected to spend on a given piece of material.

[pseudo sluice]

(i actually only own 1 cat but no dogs..)

[old oak]

On their own I've seen people spend a month on one section which a typical course would deal with in one week.

[pseudo sluice]

is that a bad thing?

[old oak]

Depends

[surreal sapphire]

it is, though i also want to mention that in my experience the starting part when it comes to proof-based math is the hardest

it requires a different mode of thinking

[old oak]

But there's a lot of math out there, and if you spend 5 years on real analysis and then 5 years on linear algebra, you won't get to functional analysis before you die of old age

[surreal sapphire]

what outsider said plays into this, because people will then struggle for too long

during my first semester i didnt really get a lot of things but we just continued

and in retrospect they are all very simple

but it just took a semester to click

i dont know how to emulate this with self-study

[old oak]

Yeah, I'd say the desire to just hammer at one thing until you master it is counterproductive.

[surreal sapphire]

but on the other hand, i have seen people succeed very well and very quickly with self study

probably just smarter than me