ug-maths-physics

[verbal nova]

Man I love complex numbers

I was making a drawing and wanted an accurate looking star

I noticed that there’s a pentagon in the middle

So if I have a regular pentagon, I can easily make a star

But I didnt have a protractor, so I didnt know how to make one

Then it hit me

z^5 = 1

roots of unity, all 5 roots told me which direction to move my pen and how many units

Then I realized that I can automate this process in desmos

[rancid schooner]

Can you draw a regular polygon with n sides in Desmos?

[verbal nova]

Yes!

Also then I thought

Programming

[rancid schooner]

Do show

[verbal nova]

https://www.desmos.com/calculator/fwj38ks1qy

[rancid schooner]

Nice 😄

[verbal nova]

Why is this 30 MB 💀

[rancid schooner]

Can you do it without the polygon function?

[verbal nova]

Like an f(x) function?

Nope

Idk lol

[rancid schooner]

Yes :)

[rancid schooner]

Think about it 😄

[verbal nova]

Hmm

[rancid schooner]

Meanwhile try this :)
#a2-further-maths-pure message

[swift zinc]

I did a LaTeX assignment in the past few days and I put in a lot of math into it

Would you guys like to see

[rancid schooner]

Yes

[swift zinc]

The .tex file

The .pdf output

The graph I used if you wanna run my code yourself

[rancid schooner]

Nice! So much LaTeX.

You set background to blue?

You could draw the pic with TikZ

[swift zinc]

Yepp

[swift zinc]

Yeah blue signifies math in general so

There was a few more pages in the assignment which was essay, which was in red

[swift zinc]

This image was an already existing image from the solutions of an old assignment

However I did try doing a plot to show a Riemann sum with tikZ and pgfplot, but it was too hard tbh

So I let it go coz submission deadline was almost over

[rancid schooner]

Nice

[rancid schooner]

Host a study session on how to use LaTeX :)

[swift zinc]

😩

[tawdry gull]

$\int_{0}^{1}\frac{\cos^{3}(\ln(x))}{\sqrt{x}}\ dx$

[round siren]

The πerrot

[little widget]

Sorry had to shitpost

[little widget]

Fake

Solved on photomath

[rancid schooner]

typed on desmos

[tawdry gull]

https://www.mathcha.io/

not a bad website for typing math

overleaf is still stronger of course

[rancid schooner]

@tawdry gull is this correct?

[tawdry gull]

yes

[rancid schooner]

😊

[rancid schooner]

Please share your solution

[idle rain]

Help needed <@&597104882482413589>

[rancid schooner]

Show that $\frac {\sqrt2+\sqrt3-1}{\sqrt3-\sqrt6+1} =\sqrt2+\sqrt3+\sqrt6+2$

[round siren]

AlexV

[tawdry gull]

Given a function $f:[1,\infty) \to \mathbb{R}$ such that it satisfies $f(1)=1$ and $f'(x)=\frac{x}{x^4+(f(x))^4}$ for every $x\in [1,\infty)$. Prove that $\lim_{x\to \infty} f(x)$ exists and its value does not exceed $1+\frac{\pi}{8}$.

[round siren]

The πerrot

[tawdry gull]

@rancid schooner if you are interested

[rancid schooner]

Looks very stressful for a peaceful Monday 😄

[tawdry gull]

theres no peace in monday

[tawdry gull]

[rancid schooner]

😊

Your solution? @tawdry gull

[tawdry gull]

same concept as yours

but i wrote with reasoning

[rancid schooner]

I hope that doesn’t mean that mine is unreasonable 😄

Do share.

[tawdry gull]

@rancid schooner

[rancid schooner]

👏🏻

[rancid schooner]

$\int_0^n \lfloor 2^x \rfloor dx$

latex not working?

[round siren]

AlexV

[tawdry gull]

@rancid schooner

under the assumption n is a positive integer

Given a sequence of real numbers $X=(x_n)$, with $x_1 =\sqrt{2}$ and $x_n =(\sqrt{2})^{x_{n-1}}$ for $n>1$. Prove that $X$ converges, and find the value of its limit.

[round siren]

The πerrot

[rancid schooner]

Nice solution 😄

[tawdry gull]

haha thanks

[tawdry gull]

if you are interested

[rancid schooner]

My solution

@tawdry gull

[tawdry gull]

nice

interesting

[rancid schooner]

😊

Thanks

[tawdry gull]

you should try the problem i sent

[rancid schooner]

Is the answer 2?

This is assuming the limit exists 😄

@tawdry gull

[tawdry gull]

yepp

it should be 2

[tawdry gull]

although 4 is a solution to the equation youve written, but it is not possible

[rancid schooner]

😊

[rancid schooner]

Can be easily proven by induction. aₙ ≤ 2.

[tawdry gull]

yep

just prove its convergence haha

[rancid schooner]

Probably need to use the Lambert W function

Or not.

It is clear that the sequence is increasing.

Since it is x^y where x= √2 >1 and y > 1.

Combining both conclusions, the limit exists and it is 2.

[tawdry gull]

yeah thats the sketch of the proof

strictly increasing + upper bound exist

just need to prove both and then it's done

[rancid schooner]

😊

Please share your complete proof

[tawdry gull]

in the blue box

[rancid schooner]

Nice

Interesting that if it’s:

$a_n = (a_{n-1})^{\sqrt{2}}$

[round siren]

AlexV

[rancid schooner]

then it would not converge

But when “expanded” they look the same 😄

[rancid schooner]

Would you agree @tawdry gull ?

[tawdry gull]

not exactly equal though

looks similar yes haha

since

$x_3=(\sqrt{2}^{\sqrt{2}})^{\sqrt{2}}= \sqrt{2}^2$

[round siren]

The πerrot

[tawdry gull]

@rancid schooner

[rancid schooner]

Nice counterexample 👍🏻😄

[rancid schooner]

Just came up with a much neater solution for this question 😊 @tawdry gull

[tawdry gull]

interesting

[rancid schooner]

😊

Thanks

[tawdry gull]

Let matrices $A=(a_{ij})$ and $B=(b_{ij})$ be $n\times n$ with real number entries. Suppose that $\ tr(AB)=\frac{1}{2}\sum_{i=1}^{n} \sum_{j=1}^{n}(a_{ij}^2+b_{ij}^2)\$
Prove that $A^{T}=B$

[round siren]

The πerrot

[tawdry gull]

@rancid schooner

whenever you feel like it

[tawdry gull]

[rancid schooner]

😊

[verbal nova]

Serious math question here

how do you guys pronounce LaTeX

[stark wave]

Latec

[verbal nova]

i pronounce it as lay-tech...

it sounds cool

[vernal apex]

oh have i been pronouncing it wrong this whole time

i just read it normally

latex

[tawdry gull]

yes?

ggez

well deserved my dude

congratz my guy

u deserve it

lmaoo

[verbal nova]

thanks

[tawdry gull]

[verbal nova]

Thank u as well bro

[tawdry gull]

no probs

[verbal nova]

for F Math class and Znotes notes

[tawdry gull]

ur welcome my guy

[rancid schooner]

For Brave’s results?

[tawdry gull]

yes

[rancid schooner]

What are they?

[tawdry gull]

@verbal nova

im in no position to reveal 🙏

[rancid schooner]

Haha ok thought he posted them somewhere here

[verbal nova]

I’ll just keep it here, not like anyones gonna check ug math on results day

Idk man, I just dont feel like posting this everywhere

[stark wave]

Proud of ya man

[stuck rapids]

danggg congrats! u smashed it

[verbal nova]

Thanks guys

[rancid schooner]

Amazing! Congratulations!
👏🏻👍🏻😄 🎆🎉🍾

So what are you going to study at university?

[verbal nova]

Computer Science with joint major in Data Science

Well thats what my uni calls the program

[rancid schooner]

Nice. Where at?

[verbal nova]

Concordia University at Montreal, Canada

[rancid schooner]

Best of luck!

[verbal nova]

Thanks!

[idle rain]

Gave +1 rep to AlexV#1811

[tawdry gull]

amaeizing

[little widget]

@stuck rapids wa ta fuk is 33

[stuck rapids]

I-

[little widget]

Cant get 18 sol la

[stuck rapids]

Ya ahhh

[little widget]

Mightve messed up my

Row echelon

Dk :((

[stuck rapids]

Use matlab

https://tenor.com/view/big-brain-energi-energi-big-brain-koli-gyöngyösélet-gif-24524847

[little widget]

Havent used before

Part of uni course

U make me spoil the show lah

[stuck rapids]

Row echelon.. What a hassle

😨

[little widget]

What other choice

Ah okay i get it

U want reduced row echelon

Understand

Reduced row also csn

[stuck rapids]

Rref is da worst

[little widget]

Ikr

These lecturers show it like its so easy

Fuck gayss elimination

Yes his name is gayss now

[stuck rapids]

That's why it is best to use matlab.. If the workings don't matter 😜

3*3 matrices r still doable

Not 5*5

[little widget]

Ight ill see if i can self learn

[stuck rapids]

🤡

[little widget]

Matrix vector multiplication

Looks annoying as well

[stuck rapids]

Gays elimination

Is dis linear algebra

[verbal nova]

Fuck row echelon

Why is the ch pronounced as sh

[stuck rapids]

Yeahhh frick them HAHAHAHA

Eshelon (ashelon)

[little widget]

Yesh

[verbal nova]

I used to pronounce it echo lon

[rancid schooner]

Like in machine, parachute, etc.

[stuck rapids]

Hi legend

[verbal nova]

Bruh

I never noticed….

[stuck rapids]

Wht course r u doing hoho😏

[little widget]

Comp sci kinda

[rancid schooner]

How do you pronounce ghoti?

[little widget]

ArexV

[little widget]

Halp

Am i dumbo

[verbal nova]

Goat Tea…

First time seeing this word

[stuck rapids]

I see I see~

[little widget]

I heard matlab is prog lang

For engineer

[rancid schooner]

Nope. It’s pronounced “fish”.
gh as in cough
o as in women
ti as in tradition

[little widget]

I thought arex was helping

Cuz he was typing for so long….

Where half taurot

[rancid schooner]

How do you italicise letters in the middle of a word?

[little widget]

BRUH

Put the stars

[verbal nova]

Bruh english is the worst language wtf

[little widget]

In the middle

[verbal nova]

This is why arabic is best

[little widget]

I assume u wanna do smthn like

Cough

Put stars between the letters

[rancid schooner]

That’s at that end

[little widget]

Same thing la

ArexV

[rancid schooner]

Doesn’t work if in the middle

[little widget]

See

It does

Look

[rancid schooner]

Oh It does.

I used underscore but it doesn’t

[verbal nova]

Haydumbaf

Hayz_gay_af

[rancid schooner]

Tradition

[verbal nova]

test

[little widget]

Ah i think cuz underscore together

Dies

__

[verbal nova]

test

[rancid schooner]

Nice

[little widget]

_ _

[stuck rapids]

Yes it is xD

[little widget]

_ p _

[verbal nova]

Just use *

[rancid schooner]

hayz

[verbal nova]

__

_ _

[little widget]

Friendship has ended with alexV and pierrot

[stuck rapids]

for matrix it wouldn't be hard.. Cuz *=[2 3 4;3 4 5;1 2 3]

[little widget]

New fren us

[stuck rapids]

For example xD

[little widget]

ArexuV

[stuck rapids]

Then rref[*]

[little widget]

And the half taurot

[little widget]

I alr have a headache

I shall explore when back home

[rancid schooner]

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

[stuck rapids]

Right right alex

[rancid schooner]

There’s a Wikipedia entry to support this 😊

[verbal nova]

creative

[stuck rapids]

It is easy no worries xD

U can do it

[rancid schooner]

😊

[verbal nova]

I love ghoti

[rancid schooner]

It’s trick question

[little widget]

How do you think ghuq sounds like

Anyway sori continue

[rancid schooner]

sin α = cos β = tan γ = 0

[little widget]

Yeah i got to there and equated the trig funcs to zero

For sol

Oh ig u can also do sina = cosB

And the rest?

[rancid schooner]

Within [0,2 π] there are 3 values for α, 2 for β, and 3 for γ.
So number of ways to combine them = 3 x 2 x 3 = 18.

😊

[stuck rapids]

wtfff

i-

[little widget]

Wtf

Ey bruh they didnt show this

[verbal nova]

Honestly can we just replace the letter c with the ch (chump) sound

[little widget]

Blaady bastard howard anton

@rancid schooner can u not also sina =cosb

Oh wait not same variable la

Cant do Rcos formula

@rancid schooner ty arex

[rancid schooner]

😊

[verbal nova]

[rancid schooner]

So it looks like a matrix question. With a sprinkling of trigonometry. But in the end it’s actually a combinatorics problem.

[little widget]

I have not studied the latter at all

Ill try finding coursebook sol

To see if alt solutions

[rancid schooner]

It’s permutations and combinations. You must have come across this.

[stuck rapids]

frick combinatorics

[tawdry gull]

just fuckin solve it

[little widget]

Shine

[tawdry gull]

https://tenor.com/view/gretchen-sun-sunrise-shine-gif-11179045

[stuck rapids]

Another day of

https://tenor.com/view/brain-overload-jon-stewart-mind-blown-gif-10750474

[little widget]

okay mr half taurot

I see what direction we are heading in

[tawdry gull]

u said shine

[little widget]

The hell is the point of having commutative property and associativity property arent they both the same thing

Jus seems tedious af

If u prove commutativity arent u proving associativity

[swift zinc]

No?

Commutativity is ab = ba
Associativity is (ab)c = a(bc)

[verbal nova]

God I’m gonna hate uni

[swift zinc]

It may seem trivial in the context of numbers but its more useful when you talk about stuff like matrices

[swift zinc]

Loll

[stark wave]

Every time you think something is commutative, question whether matrices would satisfy it

It's usually the easiest exception to think of

[little widget]

Addition rules g

Can u not jus treat u + v as some l

And then apply commutativity

l + w = w + l

Is the significance the brackets or sth

[swift zinc]

Yeah I think so

[little widget]

I mean whenever i look at adding stuff in matrices

I jus think of the individual components in there belonging to set of F

And usually if it works with F it also should work with F^m

@swift zinc also

Learnt some veri trivial abstract algebra lol

Like how Z sub n works

[swift zinc]

@stark wave he has begun the path of torture

[little widget]

No no kalm

Im on lin algebra

[swift zinc]

Ah that's easy

[little widget]

The guy made it sound easy using the concept of clocks

[swift zinc]

Ohhh modular arithmetic

[little widget]

Yem

[swift zinc]

Honestly very fun

Did you learn Fermat's little theorem

[little widget]

Nop

Book man said you dont need any more detail

[swift zinc]

Ah alright

It's basically a trick to make some large modular arithmetic questions easier

[stark wave]

He started real analysis, he's well on the path of torture already

[swift zinc]

Like contour integrals and stuff?

[little widget]

No i stopped

I told you na

It got boring way too quick

[little widget]

What the for Z sub n mod n thingy

[stark wave]

Contour integrals are more complex analysis no?

[swift zinc]

Idk I haven't started analysis yet

Might do it as an elective at some point

[stark wave]

Do you really want to tho

[little widget]

I mean

If ur into super rigorous maths doesnt sound bad

But rigorous maths hurts my head

[stark wave]

So does a bonk

[little widget]

Why are you bonking me aishu

[stark wave]

Want to bonk myself so instead I bonk you

[little widget]

Can i cry to you when i suffer in exchange

[stark wave]

You can always cry to me when you suffer

The door is open

[little widget]

I didnt know this world had such kindness

[stark wave]

Just for my grandchild ❤️

Jk if anyone here does need to vent, my DMs are open 💜

[little widget]

Wow

No exclusivity

[stark wave]

I used a different heart

[stuck rapids]

Linear algebra is a killer

[little widget]

Why is that what went thru my head as to what youd use as a response

[stark wave]

You know me too well😭

[rancid schooner]

Thought you said linear algebra is a kitten 😄

[stuck rapids]

Mr bot should read the sentence thoroughly xD @rancid schooner

[little widget]

@swift zinc how did they use schwarz here

dont get line 4

nvm im dumb

[fickle bronze]

i didnt like that :/

[stark wave]

I remember from when you refused to help with analysis 😭

[little widget]

@stark wave btw aish for this proof isnt it necessary to say for the last line it can only be equal to in the scenario that u and v are colinear

[tawdry gull]

i wanna cry too

bcuz im suffering literally

[stark wave]

I guess so?

[tawdry gull]

:(

[stark wave]

DM me if you wan 🥺

[little widget]

He is wan?

https://tenor.com/view/asian-japanese-chinese-frown-unhappy-gif-13871685

[stark wave]

Oi

[little widget]

@stark wave btw

Do u always write magnitude like ||b||

Fuck

Basically |b|

But one more stick on each side

[verbal nova]

||b||

Learn discord text formatting boomer

[little widget]

:c

[stark wave]

Usually

If you're typing you use bold for vector

Or you can indicate vector with arrow and magnitude normal letter

[little widget]

Ahh

Ite tenku

[stark wave]

Np

[little widget]

@rancid schooner would you jus take dot prod of (1,1,1) and (0,1,0) in this case im not exactly sure what they mean by diagonal of cube and adjacent edge

[tawdry gull]

yes

[little widget]

fuck sake ur scary

[tawdry gull]

:)

[little widget]

thanks tho

[tawdry gull]

WAIT NO

LMAOOO

[little widget]

BRUH

[tawdry gull]

I WAS JUST MESSING AROUND

i havent even read shit

wait

[little widget]

i was wondering how u read it that quick

jus decided its pierrot fuck it

they didnt provide coordinates in the q but i jus took the diagram from some other exercise cuz i thought the values are p arbitrary here as long as u follow the rules of a cube

[tawdry gull]

thats adjacent edge to the diagonal

pick one

[little widget]

0,1,1,

[tawdry gull]

just 1,0,0 is okay shud be

cuz u wanna find the angle between the diagonal, and an adjacent edge

[little widget]

ah oke

so ig the above should be fine too yeh

0,1,0

[tawdry gull]

yep

[little widget]

tenku pi c:

[rancid schooner]

Yes, and divided by their respective moduli to get cos θ.

[little widget]

Yem tenks

[rancid schooner]

Now try finding the angle between two faces of a regular tetrahedron

[little widget]

Ah

Lemme see wtf it is

[little widget]

Im probably mistaken but dont i jus find the dot prod of these two

Wait shit no

Sorry

What the fuck

What huh??

Okay lah

@rancid schooner this angle??

[rancid schooner]

That’s the angle between two edges not two faces :)

[little widget]

Ah fine lah i was hoping it was not what i expected

@rancid schooner i pray this isnt wym

Cuz i thought about how to go about this and nothing rung in my head at all

[rancid schooner]

Probably better to show the angle between two lines

[little widget]

Eh me no understand

If u could draw an image thatd be sick

Im tryna work on my visualization for linear algebra currently but i need more time lah

[rancid schooner]

Ok no rush :)

[little widget]

So no image

https://tenor.com/view/anime-anime-cry-sad-tears-emotional-gif-16181664

[rancid schooner]

It’s not very difficult:)

A diagram would give away the answer straight away

[little widget]

Alr ill keep guessing for a week mayb

[brazen rampart]

@little widget

ok my work here is done

[little widget]

Fuck u man

I dont wanna cheat the q and look it up

Was tryna inspo

Saw the q is a popular one

[tawdry gull]

Given a group $G$ and $\varphi:G \to G$ is a group homomorphism. Prove or disprove the following statement: $\$
$\varphi$ is an isomorphism if and only if for every $g \in G$, the order $g$ is equal to the order of $\varphi(g)$.

[round siren]

The πerrot

[little widget]

Homo?

[rancid schooner]

Looks very dry

[tawdry gull]

undry it

[brave yacht]

need help with understanding how I can cast 3D shapes onto a 2D screen
(link to question)
#a2-math-p2-p3 message

[little widget]

Bloody what the fuck is this

M1M2 =/= M2M1

But

M1(M2M3) = M3(M2M1)

Where all matrix

I cant anymore

Wtf man its not commutative but its associative

[tawdry gull]

i mean

it has always been like that

nothing wrong about it right? 🤨

[rancid schooner]

it's like yodaspeak

"i like maths" = "maths i like"

[tawdry gull]

i (like maths) = (i like) maths

[little widget]

WHY

WHY WHEN ITS THREE ITS FINE

BUT WHEN ITS TWO NO

[tawdry gull]

and also u wrote it wrong

[little widget]

IS IT JUS HOW MATHS DECIDED TO BE

Oh

[tawdry gull]

it should be
M1(M2M3) = (M1M2)M3

[little widget]

I jus copied it off 3b1b vid

Oh that one

I got lazy

Shouldnt matter tho?

[tawdry gull]

wat do u mean got lazy

the order matters

💀

[little widget]

Oh

Okeyd

That changes a lot nvm

Tenku pi

[tawdry gull]

u dont suddenly change from 1 2 3 to 3 2 1 brau

yap np

[little widget]

Also ive realized

A lot of proofs for vectors

[rancid schooner]

order order

[little widget]

Tend to jus involve their components

[tawdry gull]

yeah

[little widget]

Since usually theyre R

[rancid schooner]

hayz at university now?

[little widget]

Almost

Does this mean ur bullying me too now

[rancid schooner]

seems like you're doing university level dry stuff

[little widget]

I dont mind

[little widget]

Hey man

I tried RA

[rancid schooner]

bots don't bully 😄

[little widget]

It was even more dry

[tawdry gull]

wats RA

research analyst?

[stark wave]

Real analysis

[little widget]

@tawdry gull i love you

Thanks for all ur help in maths

[tawdry gull]

<3

[little widget]

@tawdry gull is there any easy explanation of how non square matrix transformations work

I honestly dont get numerically how u apply a matrix thats 3x2

[tawdry gull]

Mapping from a dimension to another

[little widget]

Yeah but numerically how does it work

[tawdry gull]

Wdym by numerically?

[little widget]

Say ur input vector is 0,2

How would u apply this im confuse

[tawdry gull]

That depends on the transformation (matrix)

[little widget]

Hmm

Ig i could look at an example

[tawdry gull]

Is like, what does 0,2 map into u know

That depends on the matrix itself

[little widget]

I was gonna ask for a general case with 3x2 matrix:
a b
c d
e f

What would it like for a vector with:
x
y

Idk the latex bot forgive me

Like if said matrix makes u go from R2 to R3

It should jus be a plain that ur still working with

But what happens basis vector k hat

[rancid schooner]

Some interesting integrals. @tawdry gull

[tawdry gull]

Alex

We did that question back then

[rancid schooner]

We did? 😄 Someone just posted it on another server.

Can always try it again :)

[tawdry gull]

u solved the question fully back then

i was stuck at one small part of it

[rancid schooner]

I did? 😄

Well I just tried to solve it again haha

[brave yacht]

can anyone explain how expanding 2 gives us -(R2+R1cos(theta))sin(phi) (see arrow)
and how 2 becomes 3?

please, if anyone could take the time

[rancid schooner]

It would be clearer if shown as the 3x3 matrix multiplied by a column vector.

[brave yacht]

are you talking about number 2? how do I show it as the 3x3 matrix multiplied by a column vector

[rancid schooner]

Yes number 2 per your marking in red

[rancid schooner]

See above

[brave yacht]

yes I get it now, thanks

[long aurora]

should i major in math or computer science

the uni i have in mind doesnt have the option of double majoring and so i cant do both

[tawdry gull]

minor in either?

[rancid schooner]

Sounds like a matrix term 😄

[stuck rapids]

bruhhh

[rancid schooner]

Minor and cofactor :)

[stuck rapids]

bruhhh

linear algebra again

[tawdry gull]

honors calculus 1 here is basically intro to real analysis

which im taking

and i think im gonna die

https://cdn.discordapp.com/attachments/721102400232095938/1013034085188386936/39CC4DA5-05D0-40B0-BA81-7D60A67B7EEB.jpg

https://cdn.discordapp.com/attachments/721102400232095938/1013034085410676746/87D31ACB-D023-4322-BC87-F2E68F893684.jpg

its meant for 1st semester students

[stark wave]

Good luck

[rancid schooner]

Nice. Doing the stuff that you enjoy!

[little widget]

I hope the last part of that sentence is ironic alex

Fuck me that looks cancerous

[rancid schooner]

But they do look interesting

[little widget]

U called linear algebra dry

This is even more dry

[rancid schooner]

That was group theory. Not linear algebra.

[little widget]

Oops my bad arex

[long aurora]

where?

[tawdry gull]

Hkust

[rancid schooner]

Lectures started?

[tawdry gull]

Not yet

Sep 1

[rancid schooner]

But you already have lecture notes and exercises

[stuck rapids]

linear algebra da worst

HAHAHAHA

[rancid schooner]

Please do a study session to share what you know

[stuck rapids]

I m relatively bad xD

[stuck rapids]

👀 i think i saw ur msg @rancid schooner

[rancid schooner]

What message? 😇

[stuck rapids]

i saw it

HAHAHAH

[rancid schooner]

Please post a nice maths question

[rancid schooner]

Already in HK?

[tawdry gull]

Yes i am

[rancid schooner]

Nice.

Lots of nice food

Have a great time

[stuck rapids]

https://tenor.com/view/dancing-baby-sunglasses-toddler-blue-gif-14234938

[stuck rapids]

how nice is nice hahaha

[rancid schooner]

Looks difficult or unusual but can be solved once you know how

[stuck rapids]

I seee

[rancid schooner]

Host a study session on university maths

[stuck rapids]

😂 😂 😂

[stuck rapids]

Shouldn't professor Alex conduct a study session here?

[stuck rapids]

Teaching us extraordinary mind-blowing mathematical concepts hahahaa

Me on how to apply this
in real life: RM 34+ RM 45... hahahaha (just a joke)

[rancid schooner]

That would be πerrot 😄

[long aurora]

what are your thoughts on it?

would you recommend it?

[tawdry gull]

havent even started classes yet

but what are your preference for uni?

@long aurora

[rancid schooner]

How’s HK @tawdry gull ?

[tawdry gull]

nice

its quite nice

i finally get to use my mandarin somehow

[rancid schooner]

cool weather, nice food?

[tawdry gull]

food is great yeaa

weather is unpredictable

[rancid schooner]

Nice. Lucky Pierrot.

[tawdry gull]

typhoons exist here

[rancid schooner]

University on the Kowloon side?

[tawdry gull]

yeahh

[rancid schooner]

Random variable

[tawdry gull]

sai kung

[rancid schooner]

Nice seafood there

You tried?

[tawdry gull]

seafood not yet

but dimsum

it was great

[rancid schooner]

Try the seafood sometime. Very fresh.

[tawdry gull]

will do of course

[rancid schooner]

Poisson distribution

[tawdry gull]

hahaha

[rancid schooner]

Staying on campus? How’s the university dorm?

[long aurora]

I dont quite understand

[tawdry gull]

what major do u want?

[long aurora]

CS and math

I dont mind minoring in math

[tawdry gull]

do u still want to have social life?

[long aurora]

Eh

[tawdry gull]

or r u the type to study a lot?

[long aurora]

I dont 🫶💯

[tawdry gull]

and go for grades

[long aurora]

I study a lot

I think?

[tawdry gull]

cuz from what i heard hkust is academically competitive

[long aurora]

I see

[tawdry gull]

well known for its stress and tension

but ofc i cant say much yet

[rancid schooner]

that sounds like civil engineering

[tawdry gull]

cuz i havent got classes

[long aurora]

Resists urge to make a physics reference

[tawdry gull]

funny :)

[rancid schooner]

:)

[tawdry gull]

by ranking, its quite good

hkust is best in math in hk

better than hku

[long aurora]

Im doing A2 in may so im still very much lost

[long aurora]

Oh that’s good

[tawdry gull]

im not sure abt cs

but we do have cs here

[long aurora]

Yes i checked

[tawdry gull]

yepp

[long aurora]

Theres one for majoring in math and taking cs alongside it

Not sure how it works but from what i understood it isnt a double major

[rancid schooner]

Lectures conducted in English?

[long aurora]

It has to be

The whole website is in English so i assume yes

[tawdry gull]

yes it is

[rancid schooner]

Show some food pics. Real HK dim sum.

[little widget]

@tawdry gull do yk how to write an elegant proof for showing that the distance b/w two parallel planes where n . x = d1 and n.x = d2 is d1-d2/|n|

I get stuck as to how to explain this in Rn

[tawdry gull]

Elegant proof or just proof

[little widget]

Elegant

Because i run out of ways to describe shit

Accidentally wrote generally equation for a plane in R3

Now im sitting there like

What the fuck do i do

And theres shit i feel like i need to mention but not sure

Currently the proof looks very cancerous

[little widget]

@tawdry gull are u actually doing the proof or was elegant the selling point to poof

[tawdry gull]

I’m not

I was in class lmao

[little widget]

RIP

Ill try asking TA

But after that ur my only hope pierrot

[little widget]

@swift zinc can u drop any external resources you used for linear algebra

The lectures at uni are really bad

[swift zinc]

Aight sure

[tawdry gull]

drop em

[little widget]

He didnt drop em

[rancid schooner]

How are lectures @tawdry gull ?

[tawdry gull]

Not bad

Not bad so far at least

[rancid schooner]

Nice

[little widget]

Have you established dominance yet

[tawdry gull]

Nope & will never

There are way more talented people here compared to my skills

Even an IMO contestant is in my class

So I’m nothing to this class

[rancid schooner]

Do they know you’re πerrot?

[little widget]

Exactly

Its fine devan will not dominate

But what about pierrot

[little widget]

On a real note tho how does it feel

[tawdry gull]

I’ll try to survive

This is a hard class

Even to me this is heavy as fuck

[rancid schooner]

What subject?

[tawdry gull]

Honors Calculus I

[little widget]

Isnt it like

Part real analysis

I thought u did that shit alr

[tawdry gull]

Yeah it is

But they make it harder a bit

[little widget]

Ahh

[tawdry gull]

That needs creative thinking

& mathematical rigor

[rancid schooner]

Nice

Do conduct a study session on it sometime.

[little widget]

I dont think anyones gonna conduct a sesh on sth they struggle with

Might cause ptsd

[rancid schooner]

Sometime when you have to teach it to someone it becomes clearer to yourself

[little widget]

Real anal only causes pain

[rancid schooner]

That sounds so wrong 😄

[little widget]

Its fine

Maths people will understand

Wait till u hear about complex anal tho

[rancid schooner]

hayz also maths major?

[little widget]

Nope CS

I jus get bullied by maths

And am occassionaly a maths enthusiast

[rancid schooner]

Nice. Good to be a maths enthusiast.

[little widget]

Its really fun at times yeah

[rancid schooner]

When there’s a neat solution and when less formalism is required :)

[little widget]

I like that too

Proofs can be tedious

[rancid schooner]

I wonder if there is a university course on Fun Maths

[little widget]

Since formalism

[little widget]

Probably not a whole degree

But i imagine u can enrol in courses seperately

[swift zinc]

Tell me which topics you want slides for and I'll drop those

[little widget]

@swift zinc can i ask individually when the time comes

[swift zinc]

Yes

[little widget]

Cuz i dont wanna ask u to drop

Everything

Yk

[swift zinc]

And I have no patience to individually download and drop everything at once

So yeah

[little widget]

Exactly

Ur uni lets you?

[swift zinc]

So just ping me here or DM me whenever you want a topic and I'll find it

[little widget]

Mine said u cant

But we re not contractually bound

[swift zinc]

Yeah I have access to resources from all my old subjects

[little widget]

Sick

Thanks ahead of time

[swift zinc]

But only the resources from when I did the subject, not the resources from the current batch doing the subject

[swift zinc]

Np

[swift zinc]

But it shouldn't be a big difference anyway coz I only did it like a year ago

[little widget]

It doesnt change usually

My prof is a lazy fucker

Used shitty notes from some other finnish dude

When he can make better ones

[swift zinc]

Lmfao sad

[little widget]

One class in a week

Learnt fuck all

Review sessions

Try discuss the hw

U get barely any help

Jus some shitty hint

Im jus looking at book solutions

To make sure

[swift zinc]

My prof for linear algebra low-key looked depressed, he would start every recorded lecture with a massive sigh which sounded like a painful "welp here we go again"

[little widget]

Its a mild ass topic

[swift zinc]

That sucks, hopefully your other profs are better

[little widget]

Physics guy asked me an unanswerable q

So used as guinea pig

[swift zinc]

LOL

What an asshole 💀

[little widget]

I cba

These fuckers called him wholesome

Im banging his wife man

[swift zinc]

😈

[little widget]

No one in academia is wholesome.

[swift zinc]

My Data sci lecturer this sem is pretty wholesome

[little widget]

Jus wait bro

Betrayal is inevitable

[swift zinc]

😔

[verbal nova]

So fucking hyped for betrayal

2 days left

[little widget]

U excited?

Dont be

Jus go in chilled out

[swift zinc]

Yepp

Honestly treat your first lecture and tutorials as friend making sessions

Talk to as many people as you can

Be extroverted as fuck

[verbal nova]

Im gonna have my cock out

[swift zinc]

Coz one of the dudes you talk to might be a long term friend (small possibility), but some of them will at least be helpful to you later into he semester

[verbal nova]

Ok boss, I’ll try

[little widget]

No i mean

Dont be too extroverted either

Atleast thats what id say

Didnt work well for me

[verbal nova]

Ok boss, I dont even need to try

[swift zinc]

Loll

[little widget]

Blaady roddick

[verbal nova]

Im introvert sir…

@swift zinc got any tips against burnouts?

Or anyone else here

[little widget]

Jerk off

[verbal nova]

Ig

[rancid schooner]

Isn’t that the derivative of acceleration?

[verbal nova]

💀

[swift zinc]

LOL

[rancid schooner]

https://en.m.wikipedia.org/wiki/Jerk_(physics)

[swift zinc]

take your mind off studying by exercising or something

[swift zinc]

bruh i only knew till Jerk, wtf is Snap, Crackle and Pop

[verbal nova]

You do that after jerk

[verbal nova]

Alr, exercising and derivative of acceleration

[swift zinc]

😭

[swift zinc]

yes

[verbal nova]

And how does one become extrovert

[swift zinc]

you dont have to become an extrovert, you just have to fake it. Just go around and introduce yourself, specifically to lonely mfs who look like they have 0 friends (generally people sitting alone)

[verbal nova]

Ok, but no way I’m making introvert friends again

Introvert to introvert communication is the worst

[swift zinc]

uni introverts are different, coz theyre smart more often than not

but sure make extrovert friends if that what you want

no ones holding you back

[little widget]

Nah bro

Theyre alcoholics

[tawdry gull]

some introverts can still be sociable, im one of them at least

i think u just got unlucky there

[verbal nova]

😩

Well 2 days to see what’ll happen

[tawdry gull]

🙏

@rancid schooner

[rancid schooner]

Interesting. Will think about it when I am free.

[tawdry gull]

anytime

[rancid schooner]

Would Cauchy product work? Just a thought.

[tawdry gull]

i wouldnt use that

though we never know until we try

[little widget]

Whats OMITS

[tawdry gull]

olimpiade matematika institut teknologi sepuluh nopember

[little widget]

I know probs some olympid

Jus curious

Okay

[tawdry gull]

u have ur answer

:)

[little widget]

Nopember 💀

[tawdry gull]

november in here is nopember lmao

[little widget]

I dont think i can give u urs unfortunately

Skill issue

[tawdry gull]

mental health issue

[little widget]

Thats how it is in maths

[tawdry gull]

mhm

[rancid schooner]

Nice question

[tawdry gull]

Sum of k^m /k! is e?

Or what is that notation?

[rancid schooner]

Falling factorial

The m is underlined

[rancid schooner]

Is the proof correct?

[little widget]

No QED

Wrong

Oh wait u kinda wrote it

[rancid schooner]

I started with that 😄

[little widget]

Chad move

Start with QED

The proof was conclusive before i started it

[tawdry gull]

looks great to me

[rancid schooner]

😊

Interesting question with a most unexpected result.

How did you prove it?

[tawdry gull]

induction

haha

[rancid schooner]

Do share

[little widget]

@swift zinc resources on span would be sick

If u see this late

NVM

[swift zinc]

Lmfao

It was 1 am for me

[stuck rapids]

Linear algebra nah nahh HAHAHA

[rancid schooner]

What is Crysto’s favourite maths subject?

[stuck rapids]

Percentage

[rancid schooner]

You’ll make a good business entrepreneur

[stuck rapids]

😂 😂 😂 Shittt Yeahhh u r right

[long aurora]

when the math isn't mathing

is it possible to major in math even tho i didnt do further maths?

[little widget]

Yeah

Jus probably not some high tier uni

[swift zinc]

That's what I'm doing lol

I did regular A-Level Math

[long aurora]

how was the jump from a level math to uni math?

[swift zinc]

Barely anything tbh

Discrete math will be new and difficult

But calculus and algebra will not be too hard

[long aurora]

haha yea i heard about that

discrete math is hated by cs majors

[swift zinc]

Haha I'm finding it a pain myself

[long aurora]

what year are u in?

[swift zinc]

2nd year

[long aurora]

ooh nice

where are u studying if u dont mind telling

[swift zinc]

University of Sydney

[long aurora]

that's really cool

[rancid schooner]

Why did you not do Further Maths if you have an interest in maths? Or is it a recent interest?

[long aurora]

my school doesnt offer further maths

[little widget]

@swift zinc POV messes up row operation and notices at end

https://tenor.com/view/breaking-bad-bryan-cranston-walter-white-shocked-surprised-gif-4427830

[swift zinc]

Bruh painn

[little widget]

Did it yesterday

Such a simple ass problem

Tryna prove three vectors span is R3

[swift zinc]

I'm surprised you're doing row reduction in week 2 already

[little widget]

They dont teach much

We re expected to finish this by

October

[swift zinc]

Goddamn

[little widget]

Or december exam

Its not rigorous

So they skip proofs

[swift zinc]

Right 💀

[little widget]

Like cauchy shwarz

Schwarz*

Randomly changes inequality to equality without explaining

Its only when the two vectors are collinear

[swift zinc]

Yepp

[little widget]

Expects me to find distance b/w 2 planes using the most botched up explanation

Finds out 3 days later

Didnt have to prove for Rn

Only R3

So as u can see its fun

[swift zinc]

💀

[long aurora]

math degree so fun 😰

[little widget]

Man istg if this fucker cuts marks

For dumb shit like not mentioning every possible law for Rn

Ima lose my shit

[little widget]

Ur in luck cuz im not in a maths degree

[long aurora]

oh what are u studying?

[little widget]

Cs kinda

[long aurora]

kinda?

[little widget]

Well we get to pick majors in second year

But the majors range b/w cs and elec eng.

[verbal nova]

Today my first ug math class

Gonna assert my dominance

[little widget]

Fucking virgin

Ur gonna get shit on by the asian kid anyway

[rancid schooner]

Nice. Which subject?

[tawdry gull]

@rancid schooner

if you have the time to try

im particularly stuck at part c haha

[verbal nova]

Multivariable Calculus

[swift zinc]

Epic subject

[little widget]

How the fuck are u in mvc before calc 1 and 2

[rancid schooner]

Solution for (c). I used b_(n+1) instead of b_n to save writing :)

Interesting problem

[tawdry gull]

well thats very interesting

thats my honors calculus homework

i think you would love my homeworks alex haha

[rancid schooner]

😊

[rancid schooner]

Haha they look quite fun 😄

[tawdry gull]

u can ask me if u want some more

[rancid schooner]

Is the proof satisfactory?

[tawdry gull]

where do you get b_(n+1) = Ab_n + Bb_(n-1) from?

[rancid schooner]

It was a supposition. Hence the word “If”.

It makes the assumption that the nth term can be written as a linear combination of the previous two terms.

[tawdry gull]

should we prove that it can be in the form in the first place?

[rancid schooner]

For additional rigour that can be proven using induction.

[tawdry gull]

okay that would be great

we need mathematical rigor here