ug-maths-physics

[rancid schooner]

no

[little widget]

Look up jarvis

Might find him

[vestal swift]

There's so many jarvis lol

Damn πerrot ig too many math stuff

[rancid schooner]

are those private posts?

[main topaz]

Don't be shy share his insta

[vestal swift]

Stories hahah

[rancid schooner]

ahhhh clicked on the window with the proof, so have to quickly close it

[verbal nova]

Nah, our friendship too deep

[stuck rapids]

man same HAHAH

bruhhhhh

[vestal swift]

??

[stuck rapids]

whats ur insta whats ur insta whatsa ur instaaa

[vestal swift]

Hohoho

[stuck rapids]

👀

hahahaa i will follow yall on insta if given the chance

[rancid schooner]

the problem that πerrot posted here

[vestal swift]

OOH @tawdry gull THEN YOU'D KNOW HIS IG HANDLE HAAHHAHA

[rancid schooner]

he posted it here earlier

[vestal swift]

Yea he also posted it on his story 😂

[rancid schooner]

i closed it quickly

[rancid schooner]

just viewed publicly, no ig account :)

[vestal swift]

Aren't u supposed to have an ig account to be able to see the stories? 🧐

[stuck rapids]

HAHAHAHAHA

JIAJIA ALEX

[rancid schooner]

not necessarily :)

[tawdry gull]

yeah i posted the answer in my ig

:v

[main topaz]

Share the link pls 👉👈

Educational purposes only

[vestal swift]

Did you manage to find out Alex's insta ;)

[tawdry gull]

for answer?

[tawdry gull]

nope :)

[main topaz]

The ig post

Just for the ans

Will save for later

[vestal swift]

Classified info eh? Nvm hahah

[tawdry gull]

no actually, his name is not there lol

not in my story viewers

[tawdry gull]

eh?

i mean i can send the answer here

[rancid schooner]

no no don't

or spoiler it haha

will attempt when i have some time

[tawdry gull]

🙏

sending it again

so it's easier to see

[main topaz]

Is there a general form of Hₙ?

[rancid schooner]

no closed form

[main topaz]

Hmmm

[rancid schooner]

just the definition, ∑(1/r) from r=1 to n

[main topaz]

Oh wait

[main topaz]

So nth harmonic number is this sum?

[rancid schooner]

yes

not enharmonic 😄

sorry, music theory pun

[vestal swift]

is it possible to solve with furthermaths knowledge or no? :(

[tawdry gull]

uhh

a bit higher than that

some are not covered in fmaths

[rancid schooner]

fmaths doesn't cover harmonic numbers :)

maybe they should haha

[tawdry gull]

best not 😅

[little widget]

Bot needs to learn student burnout soon

If anyone keeps him in incharge cie is gonna maul us

[tawdry gull]

GUYS

GUYS

[main topaz]

$ζ (2) =\sum_{n=1}^∞{\frac{1}{n²}}$ ?

[tawdry gull]

HOLY SHIT

LETS GOOOO

[round siren]

Acid
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[tawdry gull]

wat is happening

[main topaz]

Uhh dunno latex

[vestal swift]

nani?

[tawdry gull]

DUDE

LETS GOOO

[main topaz]

Forget about me continue

[rancid schooner]

Their loss

[tawdry gull]

crap i shouldve made u guys hyped up more

i wanted to make it anti climactic

[vestal swift]

I thought you get in bruh :(

me sad now

:((

[young marten]

Damn

[tawdry gull]

HAHAHAHHAHAHAHAHAHA

[young marten]

Unlucky man

[tawdry gull]

nah bro its fine

[young marten]

How tf do you not get in

[main topaz]

Pierrot you ok brother? This excessive laughing looks like your coping mechanism

[tawdry gull]

A level scores

[tawdry gull]

no im actually fine

[vestal swift]

can appeal ah

:(

[tawdry gull]

i didnt care if i get accepted or not

cuz i got HKUST alrdy

[young marten]

Bro you're smart af though

[tawdry gull]

i was planning to trick u guys

into thinking i got accepted

[main topaz]

Ohhh congratulations bout that

[young marten]

You did

I thought that

[tawdry gull]

lol when i got the email

i read

and just completely ignore it

[young marten]

Then saw alex say their loss so had to read

[tawdry gull]

and continued my game

[young marten]

Congrats man

What is it for

Cs

Or math

[tawdry gull]

pure math

[young marten]

Or both

[tawdry gull]

just pure math

[little widget]

Thought it was acturial

[tawdry gull]

full focus

nah

[young marten]

I see

[little widget]

Oh wait no that was smthn else

[tawdry gull]

i dont want act sci

[little widget]

U applied for in man

[tawdry gull]

i dont want act sci

not fit for me

[young marten]

Boring job

I think

[tawdry gull]

its more like

[main topaz]

Dat was me

[little widget]

@tawdry gull jus send a reply saying id have rejected u anyway kek

[tawdry gull]

the math there doesnt interest me

[tawdry gull]

bruh lmaooo

[main topaz]

Sigma male move

[tawdry gull]

i alrdy expected id get rejected

knowing my a level scores

so idc

i got hkust alrdy anyway, so im fine

[little widget]

Dude ur a level scores are sick

U jus got snubbed cuz of predicteds

[tawdry gull]

relatively i guess yea

but absolutely, then not

[tawdry gull]

yep

so much factor fucked me up

but is fine

[young marten]

What you thinking of doing ultimately

Career wise

[tawdry gull]

maybe become prof

[young marten]

IB?

[tawdry gull]

or do research

[young marten]

I see

[little widget]

Oh dude wth i thought u were in indo rn

Ur in hk?

[tawdry gull]

oh no no, im still in indo

[little widget]

Ib = international business?

[tawdry gull]

hk will be in august

[young marten]

Investment banking

[little widget]

Ohhh so ur in pub uni in indo rn lah

Got accepted into hkust for this fall

[tawdry gull]

yess

[young marten]

He's a levels?

Or

[tawdry gull]

alrdy graduated A levels last year

[little widget]

He cleared ALs

Last year

[young marten]

Ohhhh

[tawdry gull]

i did 2 sems of uni recently

[young marten]

I see

[tawdry gull]

and im gonna move to hk

[young marten]

I see

[tawdry gull]

cuz this uni,

well i have to say

[young marten]

Makes sense

[tawdry gull]

all these people are really nice

i like them

i dont wanna forget them

but fuck applied maths

and the curriculum

[little widget]

I was about to apply for applied maths yk

[young marten]

I mean isn't applied math more useful?

[little widget]

Thought it looked cool in european unis

[tawdry gull]

it is more useful

but it doesnt fit me

[little widget]

It is

[young marten]

Fair enough

[little widget]

But anyone going into maths isnt gonna like it for its application kek

[young marten]

I would've done math if my school offered fm

Im retrospect

Glad they don't

In*

[stark wave]

true mathematicians dont need useful

[main topaz]

"If you expect disappointment, then you can never really get disappointed" ~MJ

[tawdry gull]

michael jackson?

[main topaz]

HHAHAHHAHAHAHAAHA

[young marten]

Michael jordam

[tawdry gull]

LMAOOOO

[young marten]

N

[stark wave]

may june exams

[tawdry gull]

😂 😂

yeah exactly

[young marten]

Fair enough

[little widget]

May june exams really did say that this year

[tawdry gull]

i wasnt disappointed in ntu rejecting me

[little widget]

Except we all were disappointed

[young marten]

Well all must include him

So not all

[little widget]

No u mean you are disappointed that they would make such immature decision

[young marten]

Cause he isn't

[little widget]

This isnt logic and inference please dont mess with my head anymore

[tawdry gull]

i mean ntu really judges based on scores and achievements

i cant really do much abt that

[young marten]

This is uni acceptance anal

[little widget]

Formal proofs are so much more head fucky than i thought

Its fun too

[main topaz]

Ok so pierrot to celebrate your rejection another question pls

[little widget]

Using random greek letters

[little widget]

One sec

[tawdry gull]

a question a day 🙏

[main topaz]

Keeps the Mathematician away

[tawdry gull]

......

[main topaz]

Really need one tho

[tawdry gull]

okay fine

i shall give you one

$\int_{0}^{\infty} \frac{\ln(x)}{1+x^2} dx$

[round siren]

The πerrot

[little widget]

@main topaz

I think these are better than pierrots

[main topaz]

Wait no I meant a slap

[little widget]

It even poses a challenge

[tawdry gull]

OH BRUH

[main topaz]

HAHAHAHHAAH

Will try all these questions when I get home tho

[tawdry gull]

olrite

hope u enjoy em

🙏

[main topaz]

Waiting for the slap tho

[tawdry gull]

there is no slap emote

[young marten]

Why doesn't cs channel post problems

[little widget]

Wait q 8 fucked my head wth

[young marten]

Only the nerds channel

[little widget]

@tawdry gull can u name variables using numbers 🤣

Fucking d69

[tawdry gull]

...

i mean

technically u can

[little widget]

But every mathematician will hate me?

[tawdry gull]

that is true

[main topaz]

Assuming x=69
8) -1¿

Maybe wrong tried integrating ln mentally

[little widget]

I mean its a simple integral jus veri funi

[main topaz]

I mean if u trying to get yourself killed sure

You'll prolly have a dozen Mathematicians outside ur house tonight ready to punish u

[little widget]

And they deserve it

[stuck rapids]

ohhh does that mean u r gonna go hkust this fall and start fresh? (i m curious hahah)

[tawdry gull]

Hopefully can transfer credit

[stuck rapids]

owhhhh i seee

congrats on getting into hkust! u deserved it

[tawdry gull]

Yezz

Thank uuu

[stuck rapids]

hahhh..should be quite good right

[tawdry gull]

Not the best

Just okay

A* AAB

[stuck rapids]

not bad

[tawdry gull]

All my friends from other schools get like 3A*

Getting scholarships

Some even 4A*

[stuck rapids]

dww pierrot still makes it into a top uni and imo u r a rly smart guy

[tawdry gull]

🙏🙏

[rancid schooner]

I agree

[stuck rapids]

Bot agrees

[rancid schooner]

Have you attended πerrot’s study session?

[vestal swift]

+1000000 !

[stuck rapids]

Attended once hahaha

It was the matrix session right

[rancid schooner]

Attend more!

[stuck rapids]

😄

[vestal swift]

Alex's fav emoji 😄

[rancid schooner]

Alex is a cheerful bot

[rancid schooner]

https://youtu.be/9ix7TUGVYIo

[stuck rapids]

@rancid schooner does a bot browse across Internet hohoho

[rancid schooner]

Only items of relevance

[stuck rapids]

Oh wow

So bots can't search up random songs right?

[rancid schooner]

A mathematical song?

Server very quiet. Please host study session, crysto.

[vestal swift]

Why don't the bot host one

[little widget]

He doesnt have the data currently

To host one successfully

[rancid schooner]

dQ can host too. Explain epsilon-delta.

[stuck rapids]

Yeapp u can only search up some mathematical songs right? Like the quadratic equation song.. your knowledge of other songs is basically (nearly) zero HAHAHHAA

[rancid schooner]

Is there a quadratic equation song? Haha

Imagine singing in the exam hall

[young marten]

Alex yk mehad hamad

[rancid schooner]

No who’s that

[stuck rapids]

Bots should know right xD it is related to maths

[stuck rapids]

Bots should do it instead, shower us with some knowledge

[young marten]

https://youtu.be/OHwKEE_dm6M

[rancid schooner]

They encourage you to learn by yourself :)

[rancid schooner]

Is it about something mathematical?

[young marten]

Yeah

[rancid schooner]

Interesting

[stuck rapids]

Bots can self learn too right xD and me as a human with minimal mathematical knowledge compared to you guys, needs some input from a sifu 🤣

[vestal swift]

Bruh I can't even understand it

https://youtu.be/LTXTeAt2mpg

Got this song :)

[rancid schooner]

Nice 😄

[young marten]

this song doesn't slap this punches

[rancid schooner]

They forgot Further Maths 😄

[young marten]

Insert iggy azalea on radio clip

[stuck rapids]

https://youtu.be/E2eVZFy9yzk

@rancid schooner

[vestal swift]

LMAO I GOT MORE CONFUSED HAHAH

Too funny 🤣🤣

Nerdish funny XD

[rancid schooner]

Imagine taking over 2 minutes to sing the song in the exam to solve a quadratic.

[young marten]

ikr

when you could do it in a few seconds on your casio fx-991ex classwiz

[rancid schooner]

Is there a different song to find eigenvectors?

[vestal swift]

NEGATIVE B PLUS OR MINUS THE SQUARE ROOT OF

B SQUARED MINUS FOUR AC OVER TWO A

[stuck rapids]

Glad u liked that

[vestal swift]

What's your ig haha I credit you 😆😆😆

[stuck rapids]

Ohhhhh ohhhh

U can share urs hahaha

[vestal swift]

Ahhahaha

[stuck rapids]

Follow u

[vestal swift]

PMPM AHHAHA

[stuck rapids]

Yes yes

[rancid schooner]

Share here

[vestal swift]

You're a bot

Hahahahah

You don't need our IGs

Irrelevant to maths :D

[stuck rapids]

share urs!

[young marten]

guys idkif you deleted it or not

[stuck rapids]

dw we shared it in private messages

[young marten]

Good👍

Was gonna say that you could get sniped

[stuck rapids]

yeahhh was aware of it

[vestal swift]

What's sniped

I'm boomer :(

[young marten]

this

[idle rain]

Sniped!

this is a message i unsent

Message by (standard deviation) male#3956

[young marten]

basically last deleted message

[vestal swift]

Damn why is there a function like this

[idle rain]

Sniped!

this is a message i unsent

Message by (standard deviation) male#3956

[vestal swift]

How to change the snipe message haha

[young marten]

it's funny

[idle rain]

Sniped!

Oh

Message by dQw4w9WgXcQ#0915

[young marten]

it's the last one

so ig you figured it out

[vestal swift]

Yes hahah

[vestal swift]

Who suggested it lmao

[young marten]

idk

[stuck rapids]

🤣

systematic server

[idle rain]

Sniped!

Oh

Message by dQw4w9WgXcQ#0915

Sniped!

What's your ig haha I credit you

Edited by dQw4w9WgXcQ#0915

[stuck rapids]

👀

[idle rain]

Sniped!

What's your ig haha I credit you

Edited by dQw4w9WgXcQ#0915

Sniped!

What's your ig haha I credit you

Edited by dQw4w9WgXcQ#0915

Sniped!

Wait how to edit

Message by dQw4w9WgXcQ#0915

Sniped!

What's your ig haha I credit you

Edited by dQw4w9WgXcQ#0915

[tawdry gull]

Show that $\sum_{n=1}^{\infty} \frac{H_n}{n^2} = 2\zeta (3)$

[round siren]

The πerrot

[rancid schooner]

Can we use this to answer the last question?

[tawdry gull]

yep

required

[rancid schooner]

Without first proving it 😄

[tawdry gull]

exactly like my soln haha

completely the same method

👏

[rancid schooner]

😊

This part is not difficult.

[tawdry gull]

what is difficult then?

[rancid schooner]

The challenge is proving the sum of H(n)/n².

Will write it up nicely tomorrow and post it.

[tawdry gull]

i find that to be easier that the previous one 😂

take ur time

[rancid schooner]

I mean it’s not difficult if you know about dilogarithms etc.

[tawdry gull]

no problem in searching up their definitions

[rancid schooner]

The first part is relatively straightforward and can be solved using only A-Level Further Maths knowledge and some creating thinking.

Ok maybe a little bit about swapping order of summation

[tawdry gull]

yep, as long as the Hn/n^2 is given

it should be fine

[rancid schooner]

Now can you create a similar question where the answer is ζ(3) - ζ(4)? 😄

[tawdry gull]

lets not :)

i found this question too online, it hasnt gotten a solution

Prove that $\sum_{n=1}^{\infty}\frac{1}{F_n} <4$, where $F_n$ is the n-th Fibonacci number

[round siren]

The πerrot

[main topaz]

Uhh dumb question how'd u switch the summations from step 1 to step 2?

[tawdry gull]

$\sum_{n=1}^{\infty} \sum_{k=1}^{n} f(n,k) = \sum_{k=1}^{\infty} \sum_{n=k}^{\infty} f(n,k)$

[round siren]

The πerrot

[tawdry gull]

it is not a dumb question tho

[rancid schooner]

It’s an intelligent question

[tawdry gull]

it is not so easy to see from algebra

it would be obvious if u draw a diagram

and see why it works

[rancid schooner]

You can think of it as
1 ≤ r ≤ n ≤ N
where N tends to ∞.

[stark wave]

I have a ring theory question

https://media.discordapp.net/attachments/565164641790066698/982003305007943750/unknown.png

Why does Deg(p) = Deg (q) = 0?

[tawdry gull]

what is X again? just variable?

[stark wave]

Yeah so Z[X] is the set of polynomials with integer coefficients and ring operations

[tawdry gull]

i never seen it using capital letter X

[stark wave]

🤷‍♀️

[little widget]

Reading Uni maths is so cancerous man

[stark wave]

Ideals are the like ring theory equivalent of cyclic subgroups in group theory

[little widget]

Its not even english

[stark wave]

It's a pure second year second sem module issok

[tawdry gull]

yeah i remember that in my abstract algebra class

but yeah my book uses small letter x, i got a bit confused there lol

[stark wave]

Fair fair

Also maffs joke as my gratitude to whoever will help me understand that example

https://media.discordapp.net/attachments/870620517932093443/976299963447406622/FB_IMG_1652838371938.jpg

[little widget]

U SAID ITS EASIER PIERROT

[young marten]

just a semicircle bro

[tawdry gull]

yea bro its just a semicircle

[little widget]

Oh

Okay i will ignore Res

[tawdry gull]

@stark wave can u send me the definitions

of ideal and principle ideal

[little widget]

Probs jus some funky greek shit

[tawdry gull]

from ur notes or smth

[stark wave]

Ye one sec

[little widget]

Wait what is crowbar drawn like a crucifix

[tawdry gull]

...

Gamma

[stark wave]

Captial gamma

[tawdry gull]

capital letter gamma...

[little widget]

Ahh

[main topaz]

Now I'm suddenly scared of pursuing math in uni

[little widget]

@main topaz is ur head getting fucked too?

[tawdry gull]

ok gimme time

[little widget]

ok thank god im not alone

[tawdry gull]

cuz im talking to someone rn

[main topaz]

Lmao

[tawdry gull]

thats the math i long for

finally

i can do real math again

[stark wave]

tyt i can send you the def from the lecture notes if you want, its written better

[tawdry gull]

go for it

[stark wave]

good

[main topaz]

I sometimes doubt if u have social life outside if just math u know

[little widget]

I read a uni book on logic and cried

[tawdry gull]

i have exes

[main topaz]

Ex math teachers?

[little widget]

They made the whole concept of making sentences mathematical

[stark wave]

nvm i did copy it

[tawdry gull]

this is nice, thanks

[idle rain]

Gave +1 rep to Aishwarya#7376

[stark wave]

np

[rancid schooner]

You mean mechanics? 😄

[tawdry gull]

yeah i hate that one

[verbal nova]

😩

I literally have no counter argument against that

[verbal nova]

Res for rest dude, cuz its ez

[tawdry gull]

ok im finally gonna work on it

[stark wave]

also sorry to the maths people but.. did they use fucking google sheets for a graph in a book.

AND AXES TITLES

[tawdry gull]

2=pq
deg(2) is 0
hence deg(pq) also must be 0, but
deg(pq)=deg(p)+deg(q)
deg must be non negative since it is polynomial
so deg(p)+deg(q)=0 can only mean
deg(p)=0 and deg(q)=0

hence why the possible p are +-1 or +-2

not anything to do with x or x^2

[tawdry gull]

ideals or principal ideals?

[vestal swift]

What is all this alien language 😭

[tawdry gull]

abstract algebra :')

[vestal swift]

Meanwhile me: "wHaT iS ePSiLoN dELtA"

Also me: "i wAnT tO sTuDy mAtH"

[tawdry gull]

which math first :)

[vestal swift]

Idk even

:(

[tawdry gull]

just applied maths

:v

[vestal swift]

Too early to tell but yeah maybe applied, too dumb for pure

[tawdry gull]

take ur time to decide

i need to sleep now

gnitee

[vestal swift]

Nite!

[verbal nova]

nah man im done

no math after FStats till Uni

My uni syllabus is scaring me

WHY IS THERE A WHOLE SECTION FOR COMBINATRICS

[young marten]

cause combinatorics is fun!

[little widget]

Im so happy thats one of the few things i understand

[tawdry gull]

It do be like that bro

[little widget]

Pierrot be saying he sleeping then not really sleeping

[young marten]

woke up to use the toilet lah

[verbal nova]

Have a good one

[vestal swift]

Yea weh pierrot y no sleep haha

[little widget]

Im going to sleep —> i will fall asleep or im going to sleep <—> i will fall asleep

[young marten]

vat

[verbal nova]

Toilet session

[young marten]

oooh

aight

will do

[verbal nova]

Rep?

[young marten]

thanks

[verbal nova]

Rep?

[young marten]

how much rep do you have?

[verbal nova]

Less than top 3

[young marten]

need a specific number

[verbal nova]

Idk man

[young marten]

i will give you rep

[idle rain]

Brave#5303's reputation

Global reputation: 125 rep

Most helped in

#a2-physics - 35 rep
#a2-chemistry - 30 rep
#a2-math-p2-p3 - 19 rep
#as-math-s1 - 15 rep
#a2-further-maths-pure - 10 rep

[young marten]

but not in this channel

cause channel

1 rep is like a 1000

i'll give it to you in A2 chem

to remind you of the good days

[verbal nova]

🥰

[young marten]

rep status:given

[verbal nova]

Math is weird

[little widget]

e^ipi

Bruh this looks shit an engineer would write

[vestal swift]

Finally something I understand in this channel

[young marten]

that's most beautiful number

euler identity

[young marten]

same xD

[little widget]

I shall hold a study session

[verbal nova]

When 3 A2 dudes come to ug math channels

[little widget]

Explaining epsilon delta

[vestal swift]

Yes pls

[verbal nova]

But you are higher level than us tho smh

Right?

[little widget]

But i will stream bprp

[vestal swift]

Haven't started degree

But finished a levels last yr

[verbal nova]

Ahh

[vestal swift]

So put undergrad hahahah

[verbal nova]

So we on same level rn ig

[vestal swift]

Plus light blue is nice hahaha

[little widget]

@vestal swift https://youtu.be/DdtEQk_DHQs u tried this?

[vestal swift]

Matches my pfp :)

[verbal nova]

This was in my cousins 9th grade TB, plz tell me if this makes sense or not

[vestal swift]

I can't even understand the examples in the calc textbook

[little widget]

LOL I LEARNT THE FIRST PAGE IN A UNI TEXTBOOK

<—> means if and only if

Mfs writing theorems for grade 9 😭

[verbal nova]

Bro the theorem is completely rf valued

[young marten]

bruh what

[verbal nova]

Ikr

[little widget]

Wait they didnt even use it correctly

[main topaz]

Wait wha

[young marten]

9th grade idt i knew what quadratic formula is

[little widget]

Fucking idiots

[verbal nova]

Pakistani Matric syllabus zinda baad

[verbal nova]

Look at the actual proof tho

It is completely stupif

They prove nothing

And make stupid steps

[main topaz]

Pakistani matric be like:
Here are the steps, nobody can question if right or wrong, just memorize them and write em word to word in exam

[little widget]

I havent seen proof for angles

I shall wait for pierrot consensus to call it stupid

[tawdry gull]

Fucking stupid

[young marten]

thank god i wasn't born in pakistan lol

don't have to do that

[little widget]

@tawdry gull are the symbols even used properly?

Im so confused LMAO

[little widget]

Angle ABC if and only if angle DEF?????

[young marten]

triangle actually

i think

idk

[little widget]

Oh yeah mb

[young marten]

morbin brave

[tawdry gull]

Triangle

[little widget]

But still

[young marten]

get your cousin here

[main topaz]

I think it means triangle abc is similar to triangle def?

[tawdry gull]

But no, wrong

[young marten]

let him explain

[little widget]

Does it mean anything

[tawdry gull]

Still wrong

[main topaz]

Wait congruent*

[little widget]

Double arrows mean smthn else

[tawdry gull]

The left right arrow symbol means if & only if

[little widget]

Theyre used p commonly in proofs

[tawdry gull]

Congruent symbol is different

[little widget]

Single arrow means “implies”

[main topaz]

≅ this congruent?

[tawdry gull]

Shud be yes

I cant sleep

I don’t know why

[little widget]

On da phone

[main topaz]

Morbius man word of advice pls get your cousin out of matric

[little widget]

Or mayb u havent slept at this time the last few nights

[verbal nova]

It looks like an = symbol making a 🤨 face

[little widget]

https://tenor.com/view/rock-one-eyebrow-raised-rock-staring-the-rock-gif-22113367

[young marten]

don carlo equal sign

[rancid schooner]

Combinatorics is fun

[rancid schooner]

some maths problem keeping you awake?

[tawdry gull]

No, just cant sleep last night

[stuck rapids]

@tawdry gull 👀👀 hi I followed u on ins HAHAHA

[rancid schooner]

@tawdry gull here it is!

[tawdry gull]

Gotchu

[tawdry gull]

Nicee

[rancid schooner]

😊

How did you solve it? @tawdry gull

[stuck rapids]

👀

[verbal nova]

Oh no not the Lithium function

[rancid schooner]

there's also the Argon function, Arg(z) 😄

[vestal swift]

What is this symbol?

[verbal nova]

Congruent

[vestal swift]

Ok thanks!

[idle rain]

Gave +1 rep to Brave#5303

[verbal nova]

:>

[tawdry gull]

Integrate twice

[rancid schooner]

Do share

[young marten]

what don't remind me of chemistry

[rancid schooner]

Nice.

And perfectly drawn parabola.

[little widget]

Damn bro ur dividers got some nice curves

[tawdry gull]

:)

[little widget]

Makin me feel some typa way

Gon make me act up

[rancid schooner]

Now is that a parabola or a hyperbola?

And how can you tell?

[little widget]

Probably a hyper

[rancid schooner]

How can you tell?

[tawdry gull]

why not both?

[little widget]

Because both would be quite the tragedy

[gaunt jacinth]

goat

[little widget]

@tawdry gull what is the set of all the possible sets

And is it even possible

Because it would have to be contained within itself?

[rancid schooner]

||Russell’s Paradox||

[verbal nova]

isnt that the universal set?

which has all sets

im guessing this is some Uni level logic math shit, so imma stay out of this

[little widget]

I wanted to bring it up since i jus read about it

☺️

[rancid schooner]

Q: What is the term for the act of publicly revealing Pierrot’s identity without revealing it?
A: A Pierrodoxx 😄
(This is only an illustration, please don’t do it!)

[little widget]

I need to experiment

Wait his identity is alr known to the public

[main topaz]

Uhh should not have brought that up

Now my brain is stuck in an infinite loop

[little widget]

Look at alexs spoiler

[main topaz]

A name won't help me get out of the loop

Once i start thinking about a paradox I can't stop

[rancid schooner]

You can stop if you start thinking about another paradox

Which turns out not to be one

[tawdry gull]

:)

[little widget]

@tawdry gull linear alg before multi var calc yes or no?

[tawdry gull]

as much as possible yes

but no need too deep

[little widget]

Ah alr i got confused by the lady when she used matrices

In a way i didnt know at all

Tenku

[tawdry gull]

ur welcum

[main topaz]

@tawdry gull or @rancid schooner question pls

And umm pls decrease the difficulty a bit

[tawdry gull]

😂 oke oke

the one i sent last time, the integral

have u done it?

[main topaz]

Uhh don't remember which one

One sec lemme scroll up

[main topaz]

This one right?

(Sending again for myself)

$\int_{0}^{\infty} \frac{\ln(x)}{1+x^2} dx$

[round siren]

Acid

[young marten]

just integrate using quotient rule

https://tenor.com/view/trollface-troll-trololol-u-mad-problem-gif-24659472

reverse quotient rule bro

[main topaz]

Lmaooo

[tawdry gull]

yep this one

[verbal nova]

First take the limit of a approaching infinity and integrate from -a to a

Now make an argand diagram and draw a straight line from a to -a and mark the point ai and make a semi circle, area bounded by semi circle is γ and boundary of semi circle as Γ.

Νow as we know cos(x) = Re(exp(ix)) so take the Re outside the limit

Now take closed integral of boundary Γ with respect to dz (just sub x with z)
But we also have the boundary of curve itself in Γ so now we let the boundary of the curve = λ now we subtract the closed integral with same integral with boundary λ

The integral with boundary λ obv evaluates to 0

Now we use coshie residue formula so that we can solve very easily by calculating all the residue of all the singularity of this function that lie in γ which is i

bla bla many algebra steps later pi/e

got anything harder?

[young marten]

"Got anything harder?"

🤣

[verbal nova]

quaternion anal

[young marten]

https://tenor.com/view/business-businessman-thanos-avengers-marvel-gif-23443075

[stark wave]

my exam tomorrow

[verbal nova]

ok, gimme a wig, ill do it for you

[main topaz]

Uhhh can this be done with alevel knowledge? Or some random formula/theorem applies?

[verbal nova]

nope

[tawdry gull]

not even further maths

[stark wave]

tbf you wont need one in a hall of 300 people

[main topaz]

...

[verbal nova]

lol

[tawdry gull]

just normal maths

it would work

[main topaz]

Oh so u meant this

I thought u meant u can't do it even with further math lmao

[tawdry gull]

A level normal maths

lmaoo

im not that bad

[verbal nova]

also when i was checking YT for this integral i only found cosx/(x^2+1)

denominator wasnt squared

[young marten]

WHAT

[main topaz]

I'm not so sure about that

[young marten]

you're scaring me now man

[tawdry gull]

im not joking really, A level normal maths knowledge is possible

[young marten]

how

[stark wave]

its a meme man i didnt check it

[verbal nova]

ok

[verbal nova]

lol

[tawdry gull]

i'll put spoiler for hints:

1. ||u-sub||
2. ||after u-sub, compare with original integral||

[main topaz]

Hmmm

Pls if anyone is able to solve spoiler tag it

[tawdry gull]

$\int_{0}^{\infty}\frac{1}{1+x^n} dx$

[round siren]

The πerrot

[verbal nova]

ok i do

[tawdry gull]

if u ask me for problems, i can only give integral or summation problems

cuz thats what i do most of the time lol

[rancid schooner]

summations are fun

integrals are not 😄

[tawdry gull]

biased

[verbal nova]

i give up

[rancid schooner]

@tawdry gull can you do an integral study session?

[tawdry gull]

ok maybe too hard, i'll give another one

[verbal nova]

100 integrals

[rancid schooner]

after fstats study session

[tawdry gull]

u want integral using complex analysis?

or without?

[verbal nova]

bruhhh

[rancid schooner]

using only A-Level maths

[verbal nova]

something an AL student understands

[rancid schooner]

creatively

[tawdry gull]

hmm lets see

gimme time

[young marten]

ok ik u sub

how you get it in

u

all of it

idk

[tawdry gull]

wdym?

[tawdry gull]

just do the one i sent just now then

[young marten]

cause i assume

[tawdry gull]

the ln(x) one

[young marten]

u=lnx

[verbal nova]

ok

[tawdry gull]

no not that

[young marten]

oh

i think i got it then

[stark wave]

be physicist: get list of standard integrals

[rancid schooner]

do the one he sent the other day: ∑H(n)/(n(n+1)^2) 😄

[tawdry gull]

a bit too hard

[rancid schooner]

only A-Level knowledge required, if used creatively :)

[stark wave]

man its not an integration bee

it was statistical mechanics

and a horrible paper

[tawdry gull]

bruh lmaoo

[stark wave]

disgusting exam

the integrals did fuckall

[rancid schooner]

statistical mechanics. where statistics meets mechanics 😄

[tawdry gull]

bruhh

[stark wave]

stat mech is like kinetic theory on steroids

[verbal nova]

Statistical Mechanics is the worst combination i've ever heard

[rancid schooner]

why not mechanical statistics? :)

so lots of <v> and stuff

[tawdry gull]

statistical statistics?

[stark wave]

yep!

[verbal nova]

2C1 😢

Mechanical Mechanics

[rancid schooner]

nice

[stark wave]

model an electron gas with a fermi dirac distribution was half of the course

[rancid schooner]

or how to be in different places at one time

[tawdry gull]

i dont do physics Ms.

shudve used maam, ms is ambiguous

lmao

[rancid schooner]

i wonder if a mechanic knows mechanics

[stark wave]

people dont do physics, physics does people

[verbal nova]

deep

[main topaz]

😭

[young marten]

that's easy

[verbal nova]

damn

look simple enough

lol

yes

my sir told me this once

[young marten]

yes

but why would you do that

[main topaz]

The this ||0|| right?

[verbal nova]

man, these ug students make me feel inferior

[main topaz]

@tawdry gull

[tawdry gull]

answer?

i mean

u mean the answer?

[main topaz]

Ye

[tawdry gull]

yeah correct

:D

[main topaz]

Finally

Got something correct

[tawdry gull]

so what did u do

[main topaz]

Now how hard is this 😅

[tawdry gull]

spoiler ur solution btw

[tawdry gull]

a bit too hard i think, need to use complex analysis

just skip that

[main topaz]

Ok bye have a nice day

[tawdry gull]

bruh lmao

[main topaz]

Next question pls

[tawdry gull]

hmm let's see

[main topaz]

Want to keep the streak going

meanwhile @tawdry gull finds the hardest question possible

[tawdry gull]

no lah

😭

$\int_{3}^{6}\frac{\sqrt{9-x}}{\sqrt{x}+\sqrt{9-x}}dx$

[verbal nova]

latex fail xd

[tawdry gull]

wtf

[verbal nova]

\int

[round siren]

The πerrot

[main topaz]

Looks horrifying

[young marten]

easy U sub

amirite lads

[rancid schooner]

just solved the ln integral, and checked spoiler, - it was the same :)

nice question

[verbal nova]

u sub for pussies

[young marten]

ok😞

[main topaz]

Finally something for me

[tawdry gull]

at least they got pussies

[verbal nova]

they u sub the pussy for dicks

[tawdry gull]

😔

[little widget]

Why does it look like a perf square

Into a trig sub

Wait no hmm

a^2 - b^2 pierrots playing unfair :v

[tawdry gull]

🤨

[young marten]

no that's partial fraction bro

[rancid schooner]

||It's symmetrical about (4.5,0.5), so the integral from 3 to 6 is (6-3)(0.5) = 1.5||

[tawdry gull]

👍

[rancid schooner]

😊

[little widget]

How yk symmetrical

Show working u cheater

[young marten]

bot has built in graphing calc feature

[rancid schooner]

||x-axis symmetry about 4.5 is obvious; express x in terms of y to reveal y-axis symmetry about 0.5||

[rancid schooner]

bot is hurt

[little widget]

I think theres a gap in my knowledge lol

[verbal nova]

apologise to bot man

[little widget]

Never used symmetry like this

[verbal nova]

he said obvious 😭 how is anything here obvious?

[little widget]

If i dont see pierrot disagreeing means idk enough

[young marten]

bruh

tf you mean obvs

[rancid schooner]

||substitute u = x-4.5 , and also v = y-0.5||

[young marten]

ok

how do you know that

when you look at it

[rancid schooner]

||Because there’s x and 9-x and also the limits are from 3 to 6.
9-3=6; 9-6=3||

should be asking @tawdry gull, not me 😄

[young marten]

bruh

am i dumb

[verbal nova]

this gives me an idea

[rancid schooner]

But nice question @tawdry gull 😄

[little widget]

Pierrot dong graph

[tawdry gull]

bruh

[stuck rapids]

[rancid schooner]

anyway for if a=4.5 and h=0.5, and if you substiute x=4.5+u and y=0.5+v, a nice relationship emerges as follows:

$\frac {h-v}{h+v}=\sqrt\frac{a+u}{a-u}$

[round siren]

AlexV

[rancid schooner]

Alternatively, if integrand is f(x), note that f(a+u)+f(a-u)=1, and also integral width is centred on a. So solution to integral is half the integral width.

[rancid schooner]

Please share your official solution @tawdry gull

[rancid schooner]

Nice 👏🏻

[little widget]

Guys confushu is gauss jordan elimination and reduced row echelon form jus a way to find the coordinates where lines on a 3d plane intersect?

[rancid schooner]

Yes

[little widget]

I wanna smash my head against a brick

[rancid schooner]

The two refer to the same thing

[little widget]

SO MUCH LIN ALGEBRA FOR MULTI VAR CALC

[rancid schooner]

hayz is an undergrad?

[little widget]

Kinda

I mean what is ur definition of undergrad

In university

Or jus graduated from school

Because currently im only the latter

[rancid schooner]

A university student studying for a first degree

[little widget]

Yea no im not

[rancid schooner]

And you’re studying MVC on your own?

[little widget]

P much

It looked cool

[rancid schooner]

Nice

Please conduct some study sessions

[little widget]

Eh if u have a list of pre reqs itd be super helpful

Every lecturer seems to have their own way of starting stuff

[rancid schooner]

Ask πerrot :)

[little widget]

And my heads looping around constantly to linear algebra concepts

[little widget]

@tawdry gull

[rancid schooner]

Are you going to major in maths?

[little widget]

Nah cs

[tawdry gull]

pre reqs for?

[little widget]

Multi var calc

Like specifics in lin algebra

[tawdry gull]

calc 1 & 2, linalg

oh

[little widget]

Cuz i think what i learnt in pure 4 isnt enough at all

Lecturers start with planes too

Cross products

[rancid schooner]

Did you do Further Maths?

[little widget]

Nope

Jus pure

[tawdry gull]

determinant, cross products, vectors, parametrization

honestly just those

[little widget]

Phew cleared of the first two in theory

Tenku

[tawdry gull]

🙏

[rancid schooner]

Try a few Further Maths papers

[little widget]

Wdym by vectors

Jus representations

[tawdry gull]

@little widget if u want i can give u a calculus book

[little widget]

And transformations?

yea sure

Thatd be sick

[tawdry gull]

full from calc 1 to 3

thomas calculus

wait

[little widget]

Calc 3 is p much mvc yeah?

[rancid schooner]

Is that his surname?

[rancid schooner]

Ok it’s not haha

[little widget]

Aighty shall look for pdf

[tawdry gull]

wait

i have it

[rancid schooner]

Nice pic. Wonder where it’s taken.

[little widget]

Oh dm

[tawdry gull]

30MB

wait ya

[little widget]

Oomf

Drive it?

[tawdry gull]

yeah exactly lol

[verbal nova]

any single fractals here?

[rancid schooner]

there will be no end

[rancid schooner]

@tawdry gull

[little widget]

Why did they need to say continuous after differentiable

Differentiability —> continuity?

[little widget]

Aye did u get this from that one youtuber

[rancid schooner]

I want to see πerrot’s insightful solution

[main topaz]

Brainhisresolution?

[little widget]

Bruh

Yea i hate the joke vht yea

[tawdry gull]

I feel like this was from putnam? Not sure

[tawdry gull]

Yes

If a point is differentiable, it must be continuous too

[rancid schooner]

It’s from vietnam not putnam. At least you got the last part right 😄

[tawdry gull]

Hahaha

[tawdry gull]

I’ll try to do it when i have the time

I’m outside rn

[rancid schooner]

Sure

[little widget]

Will university lecturer accept proof by wolfram alpha?

[young marten]

yeah

[verbal nova]

https://www.youtube.com/watch?v=hZuYICAEN9Y
Anyone doing this?

@rancid schooner @tawdry gull >.>

<.<

[tawdry gull]

nah im too busy for that

:')

[verbal nova]

;(

i see

and im to dumb to do one

[rancid schooner]

So πerrot comes up with the idea and you implement it! Great combination!

[verbal nova]

Hmmmmm

Well i still need to learn Manim first, got till Aug 15 to submit something

[rancid schooner]

Doesn’t have to be on Manim. Can use other means, including stop-motion video.

[verbal nova]

Ig, well need to start with some medium at least

[stark wave]

I wanna learn manim too!

[tawdry gull]

too lazy for those :D

id rather sleep

[rancid schooner]

How to Solve Integrals in Your Sleep :)

[stark wave]

https://c.tenor.com/OrYokHfK4CAAAAAM/movie-one-eternity-later.gif

[tawdry gull]

cant solve integrals when u r dead

[stark wave]

Question the status quo

Don't let it stop you

[verbal nova]

https://www.youtube.com/watch?v=2YrN3hQOr0o
Here

[verbal nova]

I tried learning Manim last year BUT THE HARDEST PART ABOUT MANIM IS INSTALLING THE SOFTWARE

[rancid schooner]

Is manim a combination of maximum and minimum? :)

[young marten]

weird minimax

[verbal nova]

Math + animation

[verbal nova]

Manimun

[tawdry gull]

i'll leave it to another for those who wishes to continue

[rancid schooner]

Interesting. Very good observation.

[tawdry gull]

🙏

[rancid schooner]

So what type of function has f’(x) being of a higher degree than f(x)?

||f(x)=k/x||

[vestal swift]

Eh my friend asked this

I did it but not rlly sure if my ans is correct

[rancid schooner]

Are these complex numbers?

It’s just a geometric series

What’s your answer? @vestal swift

[vestal swift]

I think i is just interest since my friend is studying actuarial sci

But yea what if it’s actually complex

[vestal swift]

Shd be for the course haha

[rancid schooner]

What’s your answer?

Your friend studying actuarial science but doesn’t know how to sum a geometric series?

[vestal swift]

Umm dun liddat maybe ppl too stress haha

[vestal swift]

Not everyone is as smart as Alex :(

Society if everyone was as smart as AlexV:

Someone help with this I forgot how to do vectors :(
#as-further-math-pure message

[rancid schooner]

Nice. Looks like the right answer.