serious-discussion

[hazy totem]

congrats

[wooden flax]

thx

[deep grail]

Hi

I know it's not chemistry grup

But can someone tell me book for physical chemistry

[wind epoch]

JEE??

[leaden torrent]

do you have a question

[bright hill]

I just added active + very active + emeritus

And it was like 400 or smth

So taking previous actives and people who have left the server, the real number couldn't have been triple that

[odd narwhal]

I don't think that's true

Acrive is a much lower bar

[zealous garden]

So active is the more exclusive club

Based

[neat frost]

It’s like how limbo is more exclusive than heaven or hell

[deep mango]

which one is heaven and which one is hell

No, it was rhetorical

[neat frost]

Stop talking to yourself

[deep mango]

my computer was fixed yesterday so i reinstalled texlive

and vscode of course

this time i installed the small version of texlive

it still took like an hour

[bright hill]

good morning slurp!

[neat frost]

Good morning DarQ!

[neat frost]

Lol

[jolly vale]

is there a way to find the trace if i'm given the adjoint and the determinant

I think the only way would be to first find the matrix, hmm

[neat frost]

If the determinant is non-zero (or the matrix is 2x2) then yes, since you can find the original matrix

[jolly vale]

yeah

[neat frost]

If not then no

[jolly vale]

mhmm

[lethal tree]

I have my HSC exam tommorow guys, please wish me luck. Probably won't ever use this server again as I no longer have maths

😭😭

Bye guys

[surreal sapphire]

bye and good luck!

[hollow ivy]

All the best for your exam

[fair estuary]

Is there math info on fluids going through different shaped funnels?

I want to study it a little bit

[clear wharf]

HSC?

[neat lintel]

high school certification exam?

[sleek wing]

Google “the Euler equations”. Then you set the boundary conditions u.n = 0 along the funnel where n is the normal vector to the funnel and u is the flow’s velocity field (this is called a “no-penetration condition”)

[rocky shuttle]

Google "the Navier-Stokes equations". Then prove the global existence and smoothness of solutions to the equations in an arbitrary three-dimensional domain. Apply your results to different shaped funnels.

[knotty vine]

Hey guys.

If anyone here is very bored, would u plz take the time to read one my college app essays?

Around 250 words

thx

[fair estuary]

@sleek wing how do I compare funnels?

[sleek wing]

Under what metric

Total flow volume per second?

[fair estuary]

Yes

[rocky shuttle]

Look up Bernoulli's principle, maybe

[brittle socket]

Don't shitpost here thx

[fair estuary]

Which funnel you guys think would work better?

They're both 4 inch at the top and 1 inch at the bottom

[deep mango]

I would think it would be the first one

[flat harbor]

do not say it do not think it do not say it do not think it

[deep mango]

What???

[flat harbor]

ukno exactly what i mean mr

[fair estuary]

No?

[deep mango]

I think im the first one it should stay smoother

[fair estuary]

I was thinking the first one also because it gradually tapers

[deep mango]

Idk

Hard to tell

[fair estuary]

I'm thinking about just testing it

[deep mango]

That's probably the best method

[fair estuary]

Dumping a gallon of water through each one

See what happens

Not sure what else to do

The thing with the euler equations and boundary conditions seems complicated

[deep mango]

I don't even know if there's a stable tapered pipe flow

Yeah

It's really complicated for weird boundaries like this

[fair estuary]

How much water would you dump?

Maybe 5 gallons at once?

[mellow moon]

more generally transport equations with boundary conditions is a pure nightmare

[deep mango]

I would start with 2 gallons maybe and watch the outflow, how evenly the water comes out of it. But it has to be flowing into the pipe smoothly in the first place for you to see if the pipe preserves that

[fair estuary]

Hmm, that'll be tricky

The top one is 1.5 inch longer

You think more time spent in the tube could destabilize the flow of liquid?

[deep mango]

Well think about it this way

If the pipe immediately just got thinner with no taper

That would be really bad

So lengthening it probably makes it better

[fair estuary]

Yeah that makes sense

Does the math on it work for all speeds of liquid? Or does it normally get turbulent at higher/ lower speeds?

[rocky shuttle]

It gets turbulent when the Reynolds number is high

which is proportional to the flow speed, so yeah

[arctic lagoon]

Have you had an experience where you learned a mathematical concept from a source of some language, and you want to write notes about it in another target language? That is what I occasionally do for entertainment.

Now it turns out that some concepts do not have an (established) name in the target language. How does one go about naming them? Should one:

1. Leave the source language as-is in between the target language text.
2. Translate the source language name.
3. Forge a suitable name in the target language from scratch.

[rocky shuttle]

All three

[arctic lagoon]

I know that people do all sorts of things, which is why I listed those that I know of, but it’s not about facts, it’s about opinions.

[atomic fog]

does sleeping actually help you get taller by decompressing your back

I js want some motivation for sleeping because I havent been able to get some sleep

I feel like Im wasting time I dont wanna miss out on by sleeping

[neat lintel]

Sleeping might make you appear taller

You won’t be as slouchy

[atomic fog]

oh

Ill sleep thanks

[long pier]

does this server also help people solve Boolean expression to truth table?

[woven whale]

yes. #❓how-to-get-help

[stable prism]

Was just thinking how similar set theory was seeming to boolean algebra, and then I turned the page

The Unions intersection and compliment have clear links, but I can't quite justify how a boolean variable and a set behave so similarly

[surreal sapphire]

look at the definition of union and intersection

[stable prism]

Yes I do agree that they are basically or/and, but why does applying these operations on a set work so similarly to performing these operations on boolean variables

[surreal sapphire]

because they are defined like that

[arctic lagoon]

In case your wonder, the power set $\mathcal{P}(X)$ is in natural bijection with the Boolean Ring $\mathbb{F}_2^X$ in an (exercise) obvious way. The addition and multiplication in the latter then gives you symmetric difference and intersection in the former respectively.

Most of the (finitary) laws for set operations follow then from the ring axioms.

[fathom swallow]

koaaa

[fading zealot]

A second hand book on mathematical induction I got has a 3-page appendix of jokes

[ripe wasp]

that's a long book

[storm sage]

beautiful

[wild lantern]

I have that book!

Handbook of mathematical induction.

[fair estuary]

Sleeping reduces a person's seizure threshold and also helps with muscle recovery

There's actually a master class course available on the importance of sleep

[fading zealot]

Insomnia can be caused by worry about not being able to sleep, in which case reiterating the importance of sleep is redundant at best

[fading zealot]

Of which half of it is solution

[hasty cloak]

Can someone help me please?

#help-0

[wispy pike]

Is it normal to read 5-9 pages an hour in an introduction course to linear algebra as a maths major? I try to understand the proofs and sometimes attempt on proving them myself before comparing to the book's proof. My classmates told me they average 15-20 pages an hour, is this normal? Do I need to up my game?

[solid snow]

up your game how?

[long matrix]

doubt theyre comprehending 20 pages an hour

read/skim maybe

[static loom]

don't worry about it, they're probably rushing

[wispy pike]

Idk honestly

oh

[long matrix]

5-9 is also rushing

[wispy pike]

oh

[long matrix]

youre just skimming probably

[wispy pike]

so I'm also rushing

[long matrix]

which is fine for your first read

but when u go back to actually understand whats being said thoroughly youll need more time

for the important bits

[wispy pike]

I do find myself going back some times to double check

[long matrix]

could get stuck on one page for an hr quite easily

[wispy pike]

So essentially, I should just take my time and not worry?

[long matrix]

yes

[solid snow]

✅

[wispy pike]

Ah. Thank you guys so much! I kept worrying for nothing then

[storm sage]

I tend to skim a chapter first and then read it more thoroughly

5-9 pages an hour sounds like possibly a lot tho yea, depends on how dense the book is

I wouldn't worry about it

[azure nymph]

My general strategy is skim chapter look at exercises go back and read what I need then answer questions then I take notes on what I had to go back over

If I find a part especially hard to understand I stop skimming and focus on what that part is saying maybe do some quick drawing and my own examples play with a bit

[neat lintel]

which book are you reading, just curious

[tall minnow]

it is nonsensical to measure in terms of pages without specifying the book or paper

even then your goal is to understand things, not skip and have gaps in your understanding

[coarse jacinth]

can you explain the concept of limit?

[tall minnow]

for any ball centered at the limit, eventually the sequence goes into the ball

[coarse jacinth]

ok but explain in points

[tall minnow]

ok read a book

[coarse jacinth]

which book

[tall minnow]

tao's analysis I

[solid snow]

lmao

[coarse jacinth]

can u explain plz

[tall minnow]

no. I'm not paid to explain what you can just google

[coarse jacinth]

i dont wanna google u explain

[tall minnow]

oh boy
if you don't respect my time
why should I respect you?

I'll let someone else do it

[coarse jacinth]

ok

[bronze wedge]

Search up "Tao analysis 1" on Google

[fair mural]

really bruh

imagine being that rude

[tawdry radish]

cringe

anyway

🚛 art delivery

[brittle socket]

Nice

[brittle socket]

It's been some time since I have seen someone this explicitly self entitled

[deep mango]

autumn leaves!

[rapid rover]

autumn

the loneliest season

[odd narwhal]

Pretty

[odd narwhal]

That's a great piece

[fringe needle]

My prof just had the most based reaction when called out on calling a retraction a section

“There is no “correct” when it comes to notation. Everyone calls everything whatever they want. What matters is the mathematical content”

Bruh

[zealous garden]

this is all the validation I need to move forward with calling the codifferential the interior derivative

[fringe needle]

Lmao

[light needle]

based.

[rose dock]

they are very pretty here

[rocky shuttle]

What do you call the adjoint of the exterior derivative then?

[zealous garden]

Yes

[flat harbor]

just

just add a funny star or smth

[alpine kindle]

gm bloe

[flat harbor]

exterior*

mornen alliy

[light needle]

hook.

[rocky shuttle]

Definitely looks like a hook

[flat harbor]

currently writing historical account of fictional cultures bc math is harder...

[zealous garden]

I call it the ex-starrier derivative

[short niche]

What’s up y’all I have a bit of a psychological question

Do y’all think that when we say “positive” integer we also include 0??

[flat harbor]

who

[zealous garden]

Stop right there criminal scum

[light needle]

it depends on the context lol

use which ever one best fits your context

[short niche]

Hold up lemme give you context

[light needle]

it will also be clear from context

[zealous garden]

N is a monoid but zero is not positive

[light needle]

well u said positive oof

[flat harbor]

i hate ppl who write N-{0} if u do that i wish u a very unnice day

[light needle]

depends on if ur french

positive usually means >0

[surreal sapphire]

N := N - {0}

[flat harbor]

hope u slip on a banana or smth

[flat harbor]

yes. factual

[zealous garden]

N is a monoid

[rocky shuttle]

Nah, N_0 is a monoid

[light needle]

for e.g. analytic nt N having a 0 is inconvinient.

[short niche]

Here, it said m and n are positive integers

So I made my argument assuming the min is 1

[light needle]

positive integer does not include 0.

unless ur french.

[short niche]

But in the answer sheet here’s what it gives

[flat harbor]

just bc an answer sheet says smth

doesnt mean im wrong

live with that mentality and ull go far fam

[light needle]

ur just wrong on defualt sweatie

[flat harbor]

yea theres OTHER REASONS

[light needle]

mac

[short niche]

Don’t y’all think that’s weird ?

[flat harbor]

use f12
wait its a mac

[short niche]

Why did they bound it to 2

When it’s clearly 6

The second argument is hella more efficient though

[clear wharf]

Mac only for rich people
says it in Chinese accent

[upbeat zinc]

what about now

[clear wharf]

Amogus

Sus

[upbeat zinc]

sussy

[clear wharf]

What's the question?

[mental parrot]

so clean too

[upbeat zinc]

you get to know how many marks a question is worth, so lucky

[clear wharf]

Aloff of the five subparts?

[short niche]

The specific question I was talking about was v

It’s pretty easy I just wanted to make sure I’m not the only one wondering why they bounded it to 2 per term rather than 6

[clear wharf]

How do you write this

Show me as a polynomial

Does it mean $A^{p}(B^{n}(x))$

[fathom swallow]

BrotherFatty

[neat lintel]

I guess yes

[clear wharf]

So coeff of x comes of as $2^{p}\cdot{3^{n}}$

What is the latex code for product?

[neat lintel]

How?

[fathom swallow]

BrotherFatty

[clear wharf]

Lemme send a pic writing is difficult

[neat lintel]

Kk

What's going on in discussion?
Bot attack?

ola

[clear wharf]

@cobalt hill

Oh here

Wait lemme send a pic

[neat lintel]

if you can find a close form for that sum, the result becomes pretty easy to find

[clear wharf]

Yeah

[neat lintel]

and it is easy to find

[short niche]

Nah

[neat lintel]

whynt

[short niche]

The alternative solution is the best

[neat lintel]

what is the alternative solution

[short niche]

I don’t know why I somehow didn’t think of it

[clear wharf]

Ignore the mess here and there and the bad handwriting

[short niche]

I guess my brain tunneled visioned to make a lower bound, because I immediately felt like 214 was below the bound

[neat lintel]

what are you talking wbiut

[clear wharf]

And then sum Ig

[short niche]

Yeah pretty much that’s all you’d need

Don’t even need to think about the constant term because you now know that the coefficient of x is a multiple of 6

[clear wharf]

So anyways it goes by mod 6 and rest remnant is just another linear sum

[short niche]

Actually the constant term here is wrong

[clear wharf]

How?

[short niche]

It’s supposed to be one less than the coefficient

[clear wharf]

Ohhhh

Sorry

Well -1 ig

[short niche]

Here’s how I did it by first proving that it doesn’t matter what order I apply a and b

That’s the first part of the question actually

[clear wharf]

Oh boy this is dark

[short niche]

Proving that a and b are commutative

[clear wharf]

Oh yeah now i see

I dit it wrong

[short niche]

My room mate is sleeping sorry

[clear wharf]

Ohoh

Is this school math?

[short niche]

Yeah

I’m applying to Oxford this year and this is part of the MAT

[clear wharf]

Oh

Which book is this

[short niche]

It’s not a book

It’s a test

If you do really well in it Oxford accepts you

[clear wharf]

Oh what test is it?

[short niche]

MAT as I said 👆

[clear wharf]

,rotate

[clear wharf]

Does the const term upto somethin like this

[short niche]

Yeah

The difference between the constant term and the coefficient is 122 which is k here

[clear wharf]

So it occurs A occurs 122 times

[short niche]

This is what I did, I found k, and thus found a lower bound and showed that 214 is below that lower bound

But you don’t need to do this actually

Since 214 is not divisible by 6, you already know it’s impossible

[clear wharf]

Yes

Oh i see

[short niche]

If you think part v is fun try iv 👀

A bit more challenging

[clear wharf]

Is it 11?

[short niche]

No

[clear wharf]

Crap

[short niche]

You want to know the answer?

[clear wharf]

Wait

Lemme upload the question again

[short niche]

Actually try iii first it might help you

[short niche]

And i too

Actually maybe you’ll need to do the whole thing from the beginning because I used results from other parts to solve iv

[clear wharf]

iii must be 11

Oh no

It comes off as $2^{2}\cdot{3^{3}}$

[fathom swallow]

BrotherFatty

[clear wharf]

What is the answer to iii

Is it 10?

[short niche]

Yeah it’s 10

iii is 10

[clear wharf]

Great

[short niche]

It’s 5 combination 3 (or 2)

Is that how you did it?

[clear wharf]

I'd it it like this

[short niche]

Yeah that’s 5C2

[clear wharf]

Yeah

Now number iv

Oh i will try that after having lunch bye

[patent sphinx]

why when investigating limit we don't consider c (where x is tending to)? I mean, what could go wrong when you do take it into domain

[ripe wasp]

because it’s very possible that f is not defined at that point c

[thorn turret]

Could someone help me with circle geometry

[brittle socket]

Why are you multiposting

Also, literally read the rules of a server before texting

[thorn turret]

Sorry

[real tundra]

someone play chess with me

https://lichess.org/VMUPbx2o

[deep mango]

There's a #chess-go-shogi channel!

[neat frost]

How about you #chess-go-shogi away

[patent sphinx]

hi sluwurp

[neat frost]

Hello prak! How are you?

[wicked flower]

Random thought I had: would making people read #rules and #❓how-to-get-help before giving them posting permissions will cut down on the "Pls HELP URGENT my homework is due in 1 minute and worth 140% of my grade (i have not started yet)" posts

[storm sage]

how would you make them read those channels before giving them posting permissions though

[wicked flower]

Well it's not perfect but you can make them have to react with something at the bottom to get permissions

Of course some might not read it but maybe enough people would

[mint canopy]

They already have to read #rules

When you join, you get a prompt that has the rules listed and a "I agree" checkbox

The problem is, there's just no way to enforce that properly.

No nice way, at least.

[fair mural]

you say that as if there’s any way

i suppose you could just ban anyone as soon as they broke the slightest rule

[storm sage]

pop quiz people on the rules and then ban them if they fail

[mint canopy]

You could have them complete a quiz or sth but it would be silly

[fair mural]

true

[neat frost]

Ban people immediately for “not reading the rules” (since there’s no good method of reliably knowing this, the people will be chosen randomly, but this tactic will scare the rest of the members into reading the rules)

[chrome anchor]

China be like

sup guys

[urban niche]

hey can i study further math 1 without studied pure math 3 in as levels?

[royal stirrup]

Not my field of study, but generally study what you want as long as you understand it

[leaden torrent]

could you stop this send/delete bullshit @hard oasis

also dont post chain messages here

[severe swallow]

what the hell does one even post in "career goals" in some cv thingy if I don't have any concrete ones?

like, improve my skillset to work on complex real world problems and have a positive impact on society or some generic shit

[pearl moth]

why would you declare a career goal in a CV unless you're trying not to get hired?

[severe swallow]

because this is somehow part of a fixed template I have to fill in for an event

I would prefer to leave it blank too

[pearl moth]

well, just put some bullshit pablum in there, and then throw that CV away immediately after you've sent it

[severe swallow]

aight, pablo, noted

[pearl moth]

or you can go for the wild and crazy option, put "rule the world" or "establish global unity" or "bake the perfect scone" in there

nobody reads those things anyway, except for lulz

the secret to getting interviews used to be to incorporate the entire job posting you were applying for as 0pt text somewhere in your CV or cover letter

[severe swallow]

completing a backflip without paralyzing myself is a respectable choice then I guess

[severe swallow]

like I can't really do that, I'm not just applying for one thing, this is more like a company scan where multiple companies will see this

[pearl moth]

they check for that now, so it's better to like strip stopwords from the posting and reorder the SIPs so it's less likely to trigger the C&P detector

yeah, nobody looks at those CVs either, at most they'll get keyword scanned. if you ever get a referral from one of those events it'll be because of a personal interaction or a referral

[severe swallow]

what the hell are you talking about

[pearl moth]

how to bake a CV/resume to maximize your chances of getting an interview

[severe swallow]

I don't even know what word I'd even use to boost my chances since I don't know wtf these guys are even offering

[pearl moth]

you want your CV/resume/cover letter to be a "perfect match" for the position in question, so you want to make sure it hits on all of the search terms they're using to evaluate matches

yeah, job fairs are shite

they're mostly an opportuinity for employers to hire people based on appearance

recruiters can wade through th epool, spot people they find attractive, and then offer them interview opportunities

[severe swallow]

I mean... my chances are like 0 then I guess

I should just paste every programming language ever in there and yeah just bank on the fact that there is automatic scanning

[pearl moth]

throw in any hot buzzphrases you can think of

most resumes/CVs are full of shit anyway

[severe swallow]

machine learning, crypto, classification, neural networks, ai, stock trading and idk

[hidden violet]

I'm gonna go to a help channel and get some free tutoring, what should I ask? I'm currently getting into financial mathematics

[delicate kernel]

How to do maths

[tender tulip]

Is there a name when two categories A and B have functors f and g between them such that there is a bijection from
hom_A(fx,y) to hom_B(x,gy)

I noticed this happened in some bullshit I was working on

[dapper badge]

yes, f and g are adjoint functors

[tender tulip]

huh

so it's studied I assume

[dapper badge]

very much so

[tender tulip]

sweet

[dapper badge]

You get a lot of neat structure out of adjoint functors

it's also something that comes up surprisingly often

[tender tulip]

hm

[dense haven]

Hey

[zealous violet]

https://www.desmos.com/calculator/ofmqsh0qmx just made a trig function file

[little vine]

How cool

[neat lintel]

[chrome anchor]

programming=chess=math

[limpid maple]

anyone got tips on how i can improve in high school maths
dm me if anyones got any tips ! <3

[bright hill]

Our chemistry course is such a shitshow lol

start with the 4 states of matter
Go through classical models of the atom
Use classical mechanics which the students don't know
Students don't understand
Introduce shrodinger's equation
Students don't know what a differential equation is
Students don't even know what a matrix is
All of that in 1 month
Students don't understand
"Why don't students understand?"

🤡

[proud olive]

Four? Did u guys forget about the Bose Einstein condensate?

Or the fermionic condensate?

Or the triple point equilibrium state?

[neat lintel]

o

[ripe wasp]

bruh 💀

what was listed as teh prereqs

[bright hill]

Finishing HS?

[zealous garden]

Or the quark gluon plasma

[ripe wasp]

tbh maybe it was expecting too much if they assumed diffeq knowledge from people who expected just like hs algebra and calculus to come out

[arctic grove]

jesus

lmao

[proud olive]

Sounds like your average first year uni class

[woven whale]

differential equations are calculus?

[storm sage]

schrodingers equation is incomprehensible to ppl that just finished calculus

[prisma galleon]

.

[frigid lark]

Pretty much the same with physics lectures.

But it is manageable to learn the (math) gaps in short time along the lecture.

[jade quiver]

,help

[fathom swallow]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[chrome anchor]

yes

study and ask questions

confused? discord

[vast frost]

I have a question, when I was helping someone change a quadratic from standard form to vertex form and Im wondering what method you guys like teaching

theres the method of re-arranging to vertex form and then theres the method of -b/2a

[brittle socket]

Hi Shyshu

[chrome anchor]

the easier one

[little vine]

I teach both

[vast frost]

And which do you think that is

I think the first teaches more understanding and the second is easier IMO

[little vine]

It's good to know how to complete the square

[vast frost]

ya, thats an important understanding gap between just memerizing -b/2a

[rapid rover]

Ooo AOS talk

[vast frost]

I am sorry?

[rapid rover]

Axis of Symmetry

[vast frost]

ah

[cobalt sleet]

anyone wanna do square numbers
or random multiplacations (mental)

[chrome anchor]

me sometimes

[zealous garden]

RootJooter and DootDooter... BUT who did it first?

[bright hill]

Ello grass

[wild lantern]

A tale as old as time

[neat frost]

Morn Shuri

[neat frost]

Good morning DarQ!!

[long matrix]

@neon tundra your last @ everyone ping in #changelog didnt go thru. I don't have suppress on.
Maybe have an admin do it so everyone sees it? (and also advise everyone to close their dms)

bye slurp

[neat frost]

Why do I never get these raid DMs D:<<<

[bright hill]

Good morning sweetheart

[neat frost]

[bright hill]

[thick hamlet]

Which app or website to see physics formulas (offtopic)

[long matrix]

newtons grave

[thick hamlet]

Ohhhh

[long matrix]

is a joke

[long matrix]

they dont want to be infected maybe

[long matrix]

@compact tartan i see ur on^

just fyi

[compact tartan]

I know

[brittle socket]

Ello

Today in my exam I missed out something so damn obvious lmao

pain

[plucky canopy]

https://www.reddit.com/r/learnmath/comments/ydtrvi/how_do_i_get_worksheets_similar_to_kumon_or_any/

Hello!

Does anyone have any ideas?

[brittle socket]

What algebra? I assume you mean highschool alg

In that case perhaps khan academy

Though i have heard ppl say the exercises there are too easy

For AA and other uni topics Cambridge actually gives has example sheets free online

[bright hill]

🫂

[celest ore]

How do you calculate vector space bases?

[wide sleet]

Do any of you live in uk?

[native lynx]

Hello guys…

Joined the server trying to find a solution… (not to a math problem)

So i started studying math at uni since early september

And i just—

It not like i don’t get what they taught us

Is that

Sometimes i think that the process of proving something is very subjective because all i see when the teacher proves something is that it seems like magic lmao

Not literally

But it is just that everything seems so obvious but he makes it ten times more complicated

[surreal sapphire]

it depends entirely on what you know about how the vector space looks like, if you have a more specific question see #linear-algebra maybe

[surreal sapphire]

can you provide an example?

[native lynx]

Ill try, english isn’t my first language, sorry in advance

For example:

sup A = L, prove that for all the z in A, L>= z

My problem is that

Isn’t it very clear that of course if z is in A and sup A = L, then OF COURSE z is always =< L

[surreal sapphire]

what is the proof of that that is so complicated?

i can say that a lot of early math education is with training wheels so to say
you have to mechanically verify a lot of definitions that are "easy" to do, but you have to learn how to write down rigorous mathematical arguments correctly so that later you can verify things that arent obvious anymore

[native lynx]

It is just that he goes all the other way round and starts with (sorry i dont really know how to translate this part to english) “assuming that L isn’t sup A, then L-epsilon > z and that means that L- epsilon is sup A, but by hypothesis sup A is L and not L- epsilon, so it is a contradiction, qed”

I just dont get it

I mean

The problem is very obvious then why do we need to do all of that

It almost seems like the definition of sup A

[eager reef]

It's educational

maths is all about rigor

[native lynx]

I see…

[surreal sapphire]

you need to formally verify the definition of sup

"its obvious" doesnt convince me

[eager reef]

there are even some things that seem very obvious but are hard to prove

[surreal sapphire]

its worse

some things seem obvious and are wrong

[eager reef]

True

my favorite example of what i said is prove that R^n not homeo R^m if m is not equal to n

it genuinely blew my mind when i found out that this was in fact not trivial at all

well i was in very early undergrad back then but still

[native lynx]

Yeah but, it is a definition right? It is true bc it is how to define that thing right? Then it is true no matter what, i guess…?

[modest magnet]

why is terry tao’s salary so high

[native lynx]

Oh damn whoa 🤣😭

[modest magnet]

and why do we worship him

[eager reef]

He meant that you need to formally verify that this follows from the definition

[native lynx]

Oh

Like even if it is obvious you cannot be 100% sure about that unless you actually prove it?

[surreal sapphire]

i mean tbh the proof you gave doesnt even work (?)

and the original statement is proven by stating part of the definition of sup (unless there is a different definition im not aware of...)

i do get the general gist of what you want to say, though

if you think you have a simpler proof of something, then you should ask your teacher

but "its obvious" is not a proof

[native lynx]

Maybe i wrote it wrongly tho

Ill send it later when i get home

[surreal sapphire]

early on you have to do very small steps when proving things

[native lynx]

Alright 😔

[small dust]

maybe "follows right from definition" is better

[eager reef]

that's still not a proof

[surreal sapphire]

start with the definitions, apply small logical steps, arrive at some conclusions

a lot of early exercises are just "write down the definitions of what you have, write down the definitions of what you want, fill the gaps"

[small dust]

I can't really imagine why epsilon language is needed for that one anyway though lol

[eager reef]

what loch said

[native lynx]

🤔 it is in the definition of sup, … right? Im very sure epsilon was somewhere in the definition my teacher gave us tho…

[small dust]

it could have been

[native lynx]

Alright

[native lynx]

Thank you!!!!

[small dust]

people usually don't define it like that from my experience

[native lynx]

I see

[small dust]

but if the definition was an epsilon definition, the for all the z in A, L>= z thing is not as obvious

as it would be with the usual way people define sup

[native lynx]

Oh yeah, proving it is another story but what i meant is that the problem seems obvious so that’s why i dont get why you need prove it when it is obvious but yeah the other guy answered it already

Thank you tho!!!

[surreal sapphire]

then the proof would be weirder like this

you always have to check the definitions that are in your notes

[native lynx]

Alright, thx!

[brittle socket]

From Jech

[compact tartan]

archimedean property is what makes the difference

(forall eps, 0 <= x <= eps) -> x = 0

[neat lintel]

#❓how-to-get-help.

[chrome anchor]

that thing is difficult af

[tender tulip]

Bourbaki Fixed Point theorem

[sly siren]

"Consider a lamp with a toggle switch. Flicking the switch once turns the lamp on. Another flick will turn the lamp off. Now suppose that there is a being who is able to perform the following task: starting a timer, he turns the lamp on. At the end of one minute, he turns it off. At the end of another half minute, he turns it on again. At the end of another quarter of a minute, he turns it off. At the next eighth of a minute, he turns it on again, and he continues thus, flicking the switch each time after waiting exactly one-half the time he waited before flicking it previously. The sum of this infinite series of time intervals is exactly two minutes.

The following question is then considered: Is the lamp on or off at two minutes ?"

[fair mural]

there is no answer to that

[zealous garden]

1

[fair mural]

you’re basically just asking if infinity is even or odd

[zealous garden]

the answer is 1

[vocal roost]

uh, I assume this means the "total ammount" of that light being on for x minutes???

[chilly hull]

this cant be determined

[storm sage]

this question is easy: it's equal to the limit of (-1)^n as n→∞

[zealous garden]

that depends, how many infinities did he go

[vocal roost]

Eao be like: "haha im just going to be based and provide an ez answer"

others:

[woven whale]

answer is the average

$$\lim_{n \to \infty} \frac{1}{N}\int \limits_1^N x^{-1}dx = 0$$

[vocal roost]

what the säääs

[fathom swallow]

illuminator3 👻(#eric4honorable)

[neat lintel]

no its just lnN/N

[woven whale]

,, \lim_{x \to \infty} \frac{\log{x}}{x} = 0

[fathom swallow]

illuminator3 👻(#eric4honorable)

[neat lintel]

yes

[woven whale]

yes

[sly siren]

https://en.wikipedia.org/wiki/Thomson's_lamp this is from there

[midnight crystal]

Look how shit my professors writing is

He refuses to use PowerPoints

Always does these chicken scratch handwritten notes

[storm sage]

tbf powerpoint sucks

but his handwriting could be a lot better

[tall minnow]

this is why I write in print

[wooden flax]

i mean it is readable

its not illegible

[tall minnow]

cursive is a mistake that should only be used by people who pass a writing test each year to make sure it's legible

[storm sage]

it's hard to read

but not worse than one of my prof's

[midnight crystal]

im just bad with that cuz im trying to understand what each word says so i cant comprehend the entire sentence

[dire spindle]

Any thoughts on Duolingo math? https://youtube.com/shorts/b-l_3EnvJhw?feature=share

Like I wonder what Paul Lockhart would think about this

[mint canopy]

It literally came out 7 hours ago how would anyone have any perspective on this 😭

[dire spindle]

Idk you’re math dudes

[chilly hull]

it looks like its only computational based

but yeah i cant say a full opinion either

[dire spindle]

Depression

Why can’t there actually be a math application for free online like AoPS

[storm sage]

wait is this real LOL

that's actually hilarious

[dire spindle]

So what do you think

[hollow pagoda]

Istg, if its for kids and not cool ppl like me.. then imma stop learning french

[zealous garden]

Wtf is it

[atomic hornet]

What does it look like?

Its an app that helps people learn basic math.

[flat harbor]

hello chat just had a warm cup of tea

my fingers are cold and for some reason this room has the ac on when its 8 degrees outside

autumn lasted for like

3 days

just wear an extra layer mofos when the extra layer turns u into a big buff marshmallow

ive ran out of media to consume

im not gonna turn to kdramas until i really start scraping the barrel

[brittle socket]

Lmao I was confused by what you said because I thought you meant windows as in the microsoft programme

[storm sage]

where is dark side 👀

[flat harbor]

interesting writing....

maybe its bc i already recognise all the faces

but i rly havent felt a kdrama be novel enough to keep me watching for several episodes

since goblin

u can give me the title and ill look it up

but if its another romcom thats not rly funny then im not watching it

oh ive heard of this one

[storm sage]

Nietzsche wrote some good piano music

I have to say

[alpine kindle]

Nietzsche

[storm sage]

Yeah Nietzsche was an avid music fan

His music is so lonely

LOL

His poetry is p good too

[alpine kindle]

yeah he really liked richard Wagner's music

[storm sage]

Oh

He hated Wagner

He wrote a whole tract titled Contra Wagner

[alpine kindle]

they fell out over something

[storm sage]

They had a huge split after Parsifal

[alpine kindle]

he liked the music at first

[storm sage]

And also the fact that Wagner was really anti-semitic

And Nietzsche hated anti-semitism

[alpine kindle]

ah

[storm sage]

And found Wagner's Christianity despicable

Yeah Nietzsche was Wagner's biggest fan at first

[storm sage]

Nietzsche thought Christianity was weak

[alpine kindle]

and then proceeded to go so far as to reject traditional morality because of its connection to Christiantity, and offer up master-slave morality instead

[storm sage]

Lol

Master and slave morality is quite something

[delicate mulch]

@pastel lark this server is not for personal promotions, especially not political ones.

[plucky canopy]

Hello! Im in Grade 11, STEM Engineering rn. Im planning to attend college outside of my country, and naturally it is quite competitive in mathematics.

Whats the problem?

Im good with math, I can understand the concepts and overall idea of it. The thing that makes me get a bad scores in test are the small stupid mistakes, and the time limitation. I know these can be easily fixed though, by practice, practice, practice and familiarization. I notice that Kumon has worksheets that tell you shortcuts, vedics and mental math as supplementation. Though, Seeing my classmates cry over a piece of paper, saying that they haven't finished kumon worksheets, along with other assignments made me realize that kumon aint no mental health space.

So, right now, I want to get good high scores (95%) in mathematics and that would be done with your advice. I need worksheets, websites, exercises that can help me with algebra. I didn't take algebra seriously back then so now im suffering when im taking it seriously.

I would love help. I wanna get better in math, It's such a wonderful subject. I want to enjoy the process and still get wonderful grades from math.

[storm sage]

I would try khanacademy if you haven't already

It has a lot of short exercises that you can do to practice

On a wide variety of different topics in high school mathematics

[wooden flax]

TIL Serre is alive!

blowed my mind

[plucky canopy]

I see, Is there any timed worksheets? Or vedic maths?

[sleek schooner]

whats Vedic maths?

[thick hamlet]

Good morning

[thick hamlet]

Ancient indian math

Probably

[potent pivot]

Aye cool pfp, we're twinsies

[fervent pebble]

is it okay to guilt trip people if it's to get them to go to sleep??

discuss

[potent pivot]

I have a hard time envisioning a scenario where a guilt trip will help someone sleep

[thick hamlet]

JWST?

Pfp

[thick hamlet]

Ty

[potent pivot]

Yep

[fervent pebble]

you lack imagination :/ i can't think of a problem a well-performed guilt trip couldn't fix

[neat frost]

Guilt tripping anyone for any reason is okay in my mind

[fervent pebble]

this is why i like u

[neat frost]

Thanks valley

[thick hamlet]

What is guilt tripping

[latent sage]

@thick hamlet why aren't you doing that useful thing you could be doing right now?

[proud olive]

Yeah @thick hamlet you gotta start taking life seriously man

[thick hamlet]

Loool

Thank you so much

Both ty

[sleek schooner]

how does nanotech work?

[woven whale]

it's like tech but extremely small

[neat frost]

@bright hill you ready?

[sleek schooner]

is this true?

is that how its made?

[surreal sapphire]

idk, this is a math server

[bright hill]

I still have lecture lol

I'll be ready in 1.5 hours

[neat frost]

Eeeeeeee

[plucky canopy]

Its like an indian way of how to do maths

its much more faster

[surreal sapphire]

https://en.wikipedia.org/wiki/Vedic_Mathematics this one?

[plucky canopy]

Oh wait

i think i mislabeled it

I meant mental math vedic math thingy

[plucky canopy]

i saw it in the internet, on how "vedic" maths are fast

like first adding the 100 and 400 in 123 + 423

[surreal sapphire]

ye, seems its a collection of techniques to do elementary operations faster

[plucky canopy]

I think its mental math

[surreal sapphire]

interesting read

also linked in that article: https://en.wikipedia.org/wiki/Trachtenberg_system which is also interesting

(horrible tex in this article though)

[plucky canopy]

The thought of how it was produced

man mankind really have this wierd time to do the most brightest stuff during the most dark or stupid times in history

then we do so stupid during the brightest and most innovative part of history

probably on the last parts

like for example dying over nuclear war

after a peaceful time

you get what i mean?

[plucky canopy]

Oh DAM

[plucky canopy]

Ooh

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

Found a video for that!

How do we do when we have carry overs though

[surreal sapphire]

no idea lol

i just thought the history of the invention is interesting

and the fact that someone put so much thought into something like this

i just use computers

[plucky canopy]

hahahhaha

i love that

[neat frost]

@bright hill ready now?

[bright hill]

Jeez

Gimme 20 minutes to dine at least lol

[neat frost]

YOU SAID 1.5 HOURS

THIS IS MORE

2 HOURS

LIARRRRRR

[deep mango]

What are you gonna stream

[neat frost]

Postmodern Jewish Philosophy

[bright hill]

SRY I DIDNT WANT TO STARVE

[bright hill]

[neat frost]

Ready?

[bright hill]

Yes

I wish we still had obsidian

[neat frost]

When you stream DarQ you’re streaming your entire device right?

Not just a single app?

[bright hill]

Ye

[neat frost]

Hmm

Okie

[bright hill]

You don't have much control on mobile

[neat frost]

Yeah shame

[bright hill]

Stop writing and start speaking

[neat frost]

I am speaking

Lemme try again

[plucky canopy]

Did i hear the best note taking app?

[bright hill]

No lel

There used to be a channel for actives called obsidian that has since been archived

[sacred forge]

we did we stop shaking soda bottles at some age

[meager sonnet]

not quite

it was originally basically for like

mod Minecraft server and then we opened to active iirc

then the MC server died

[woven whale]

revive it

[open aspen]

revive it so that it may die again

[bright hill]

Technicalities.

[fair mural]

it costs money to keep the server up

and they didn’t wanna pay that i don’t think

[bright hill]

Twas cool doe

[open aspen]

Just extort the helpees

[meager sonnet]

we were fine paying for it if people actually played

[open aspen]

Every minute of help they receive costs 1 minute of server time

[bright hill]

Nah, it's just coz mniip thought it became chill for actives

[fair mural]

spoiled members

[surreal sapphire]

the issue wasnt money related

[fair mural]

no lol it was hardly even active

[bright hill]

I typed there

[surreal sapphire]

we could make a minecraft server but not sure if anyone cares anymore to set one up

[bright hill]

Anyhow, can we at least have a vc for actives?

[surreal sapphire]

we have other stuff to do that nobody does

[surreal sapphire]

whats the reasoning behind this

[bright hill]

Or at least another advanced vc that's not specifically for math

[surreal sapphire]

hmm

[meager sonnet]

uhh we don't really see any reason for this

we are first and foremost a mathematics server

[open aspen]

I would play but only if I get to know where ShiN lives so I can delete his door everytime I log in

[bright hill]

A lot of times me or slurp want to stream something non math related

[meager sonnet]

usually in that case you are unfortunately just gonna have to use the offtopic VC

[bright hill]

But if we're on off topic for example a lot of times some randos join in and deviate the conversation

[meager sonnet]

yeah I'd just mute them or redirect them

[surreal sapphire]

discord also has a call feature

[bright hill]

Well, i can't do that

I think?

[meager sonnet]

you can mute them

anyone can mute

[fair mural]

right click

or click on their profile

[open aspen]

Like for yourself, so you and your homie just both mute them

I don't see why not just voice call at that point tbh

[fair mural]

darq discovering new things…

10

wait do you mean the server or vc

[meager sonnet]

yeah to an extent DM calls are prolly just better for that

[fair mural]

10 then

[bright hill]

I don't want the stream to be private, I just trust the core community more in being respectful and properly following etiquette
I also sometimes would like to say things about myself that I would be more hesitant to say in front of someone I never interacted with

[open aspen]

Fair

[surreal sapphire]

who is core community

[woven whale]

me, obviously

[bright hill]

People that have been active enough to be familiar with the server's culture and has a few friends here or they're at least trying to make friends here

[surreal sapphire]

ok wow

how do i make this decision

i was hoping for a list of roles

[bright hill]

Lmfao

[surreal sapphire]

obviously i will dislike any idea that creates moderation overhead

[open aspen]

If you have posted in mice you are core

[fair mural]

true

[surreal sapphire]

and im sure as hell not judging who is active enough to be familiar with the server's culture and has a few friends here or they're at least trying to make friends here

[bright hill]

Well, i would say most "active" users fit into that category

Ye

The infty roles exists as well if you wanna cover edgecases

[surreal sapphire]

i dont

[fair mural]

darq what are you even talking about anymore

[open aspen]

What's the infinity role

[surreal sapphire]

deprecated

[open aspen]

What was the infinity role

[surreal sapphire]

i/we will think about it, darq

i see a few issues, mostly feature creep and creating wrong incentives

[fair mural]

it also gives the perks of the active roles

[surreal sapphire]

but i see where you are coming from

[bright hill]

Thanks

[surreal sapphire]

hm, maybe it gives rename ability

but the original purpose does not exist anymore

[fair mural]

reminded that advanced helper still exists

infinity role definitely isn’t gonna be deleted if that role isn’t

[bright hill]

Evil

They do!

Bragging and showing off?

Like the C* role

[fair mural]

ok yohan but do you have the banach alg role

cope

mald

cry about it

[bright hill]

@fair mural get off your high horses, copy cat

[fair mural]

what

[bright hill]

You woulda never asked for Banach alg if I didnt first

[fair mural]

how do you even remember that happening

i don’t even remember that

that must have been months ago

[neat lintel]

math discord clout 💀

[bright hill]

Nice try

[bright hill]

Dunno

My memory seems to be particularly strong with things related to the server for some reason lmao

Embed fail

Laugh at this user

[woven whale]

https://tenor.com/view/epic-embed-fail-ryan-gosling-cereal-embed-failure-laugh-at-this-user-gif-20627924

[fair mural]

true

[bright hill]

You take notes on the server?

Like

That wasn't a joke??

[neat lintel]

Just got first uni offer for mathematics & statistics course

Feels good

[bright hill]

Ig now I know what those are for

That person is you, aren't they?

[arctic grove]

what is that role for

[bright hill]

Jesus shyshy

[bright hill]

Bragging and showing off

Is that so hard to understand?

[golden pendant]

looooooooooooooooool

[eager reef]

wait

notes are a thing now here

damn

[woven whale]

since like 2017

[eager reef]

fr?

[bright hill]

Oh

Screw you

[woven whale]

yes

[eager reef]

wait have notes been a thing for a long time

and i just never noticed

[bright hill]

Lmao

[eager reef]

i gotta use this

[bright hill]

I mean

They're useless

[eager reef]

are they?

[bright hill]

Shit, i just remembered

I got a girl's contacts a couple weeks ago and i never got back to them

[eager reef]

HAHAHA

[long matrix]

wp

[velvet dagger]

Kinda rude ngl

How is she gonna be able to see?

[eager reef]

[bright hill]

_>

[fair mural]

literally nothing

[arctic grove]

yes, considering u dont have it either, idk what u are showing off

[arctic grove]

Oh lol

at least i got some useful roles i can actually use to flex @bright hill

[bright hill]

[arctic grove]

thats right

keep burning

i like to see that

[bright hill]

You prolly just begged ryc for the role

🙄

[arctic grove]

fun fact

i didnt beg

i just randomly got it one day

people just love me that much

get to my level, smh

[fair mural]

“useful”

[lavish kayak]

The best thing is to do things that are similar to your exam

Don't think you're learning math, think you're learning to beat the exam. Very different and specific skill

If you got old copies of previous exams those are the best

[deep mango]

For the record, he did

That didn't matter

But he did

[open aspen]

LMAO

Damn ryc why you gotta call out your homie like that

[bright hill]

Hahahahahaha

Knew it

[plucky canopy]

Noted!

[gilded axle]

the feels when you thought you wrote the proof correctly but prof said you didn't :(
how do you avoid thinking that you're good at proofs when you're not? Like how....

[wispy pike]

Other than having my friends look at it... I'm in the same boat as you!

[solid snow]

practice xd

[wispy pike]

I practice the holy trinity of cos^2 + sin^2 = 1

[gilded axle]

:'(

[zealous garden]

This is just aa = |a|^2

[latent lark]

could someone help me

[neat lintel]

Read #❓how-to-get-help.

[rain dome]

Here's a critical thinking riddle based on something I just remembered: paper.io is a game where you can move around like in agar.io, but the goal is to go in loops to close off an area and paint it your own color, overriding other people's turf when you do so. If someone hits your path before you close the loop or you get closed in someone elses loop, you die. Several years ago someone posted a tutorial for how to get 100%: move to the edge of the map and go around the whole map. People were praising the tutorial early on, but complained in the comments last year (when I played for 1 day and learned about all this) that it doesn't work. Why not? There are multiple plausible answers, but only one correct answer, so keep the guesses coming.

[tender tulip]

i do this shit a lot

[fair mural]

which part

[storm sage]

don't you just die when someone spawns on your path

how does spawning work lol

I'm not understanding the rules

[fair mural]

dear god i just heard the word clout on a law and order episode

[rain dome]

For spawning, you just get randomly placed somewhere on the map after you die and rejoin. Otherwise there is no spawning. And it doesn't matter why someone touches your path.

[open aspen]

What happens to a path once it gets closed

[storm sage]

I have so many questions

[open aspen]

Does it become a barrier or something

I feel like we're missing a lot of information lol

But also it'll take you a while to close the path. Why doesn't someone just run into your trail before you do

[storm sage]

I don't see why the strategy would work

[open aspen]

Well they're saying it won't for multiple reasons

[rain dome]

The enclosed area becomes your color. If part of it was someone else's color, that gets painted over and the other player loses turf.

[rain dome]

It did and now it doesn't, the riddle is to figure out why. And again, multiple plausible theories but only one right one.

[static loom]

just try it and find out yourself

[rain dome]

I already know the answer, that's why it's a riddle and not a help question. I challenge you to do that and see if you get the answer though, I doubt you will.

[static loom]

I played the game several years ago and tried this strategy lol

[rain dome]

Did you solve the riddle?

[static loom]

not much of a riddle, I won this way a few times

[rain dome]

But it doesn't work now. The riddle to explain why it worked and then didn't. Was there a way I phrased the original post that made it unclear?

[burnt dune]

how do rec letters work?

i am "building" a non official transcript in the math dept where im examined

in math

and for every test the prof will add in the letter that i took this and that

cuz im an undergrad cs and no real math courses here

so like when applying how does this work

does the dept im applying to send an email asking for the letter

or do i have like a handwritten letter and i ssubmit it XD

[bronze pelican]

Apply for wbar

What

[delicate mulch]

@bright hill I feel like I'm getting dumber every single day
and I'm not joking
Wtf is going on with me
Maths and Physics were my strong suit but even simple questions confuse me now

I cry every single day

[neat lintel]

hello guys

can i get your knowledge about How Cultural and Global Issues Affect Communication

[eager reef]

This is a maths server

[ember fog]

hello, I'd just like some possible advice about learning math. I'm on my first math class in uni and it's analysis. I'm having a really hard time learning these new concepts and I often have a lot of self doubt that I'm too dumb for all of this, or that my foundations are not good enough for this class. I really care about this course, maybe a bit too much as that led to me fearing coursework on it and subsequently procrastinating. I'm trying to pick myself up and demystify my cognitive distortions. I guess I'd just like to hear some experiences from more senior students perhaps if this experience sounds familiar to you

[flat harbor]

ranal is a confusing subject yea

especially if its ur first proof based math class

every person ive talked to has some version of nightmare associated with the class, its like a rite of passage

[iron osprey]

read the book

[flat harbor]

dont eat urself up for having trouble and keep a nice steady pace

[iron osprey]

keep all the theorems and definitions readily on hand

theres nothing to procrastinate

your seemingly fruitless staring at the material and not understanding is actually useful

[stable granite]

Teaching something that i was not entirely competent in actually helped me understand it better

[iron osprey]

time has to be invested and almost none of it will be spent smoothly moving through the material

[ember fog]

oh sorry i should have specified elementary analysis, is ranal rational analysis?

[iron osprey]

you will spent nearly the entire time having a headache

ranal is real analysis

[ember fog]

ohh

[iron osprey]

there is no rational

[ember fog]

okay

[short pivot]

lol real analysis

[ember fog]

sorry hahahaha

[iron osprey]

at least i hope there is no rational analysis

whenever u feel like it doesnt make sense just remember ur trying to only assume you have defined the natural numbers and derive all the properties of real numbers from that

building them up from geometric considerations

[ember fog]

wait hold on, I thought my elementary analysis class would follow something like terence tao's analysis which did start with proofs and definitions of natural numbers. My class is starting with limits and then derivatives and this is confusing me. We havent done much proofs, we have more applications of the theorems

sorry if i am confused with what we are doing itself haha

[rocky shuttle]

What exactly are you struggling with? Which concept do you find difficult to learn?

[arctic grove]

it is indeed useful

😌

[arctic grove]

ryc wtf

[ember fog]

i feel like I have so much to memorize for this class, like remembering how to find a limit, or determining continuity, and I have to memorize trigonometric functions and their limits as well as the laws for logarithms