ug-maths-physics

[rancid schooner]

Is that your university?

[vestal swift]

Lmao no

[rancid schooner]

Which server is this from? It says no access.

[vestal swift]

#as-further-math-pure

Oh lmao you’re not in AS

[rancid schooner]

Under AS group?

[vestal swift]

Too noob for you zit

Yes

[rancid schooner]

But I can see some AS channels

[vestal swift]

I forgot how to do T.T

[rancid schooner]

/roles

[vestal swift]

@tawdry gull study session when XD

[rancid schooner]

Hmm added roles but still not visible. How does it work?

[vestal swift]

Idk maybe ask the mods?

You dint put AS further maths?

[rancid schooner]

Ok it’s visible now

[rancid schooner]

Ask πerrot. He explains these questions very well.

[vestal swift]

@tawdry gull math god can show us the way? 🥺

Is ok haha he’s gaming now we’ll just wait for his reply 😂

[rancid schooner]

Compile a few questions then request a study session from him haha

[verbal nova]

Damn we would have the PS5 tower too

I can no longer read FP1 questions, my vision blurs

[vestal swift]

Ikr it’s like I have amnesia

[rancid schooner]

Here’s a nice question. What is tan (α + β + γ) in terms of the tangents of the individual angles?

[vestal swift]

;-;

[verbal nova]

Hmm

[rancid schooner]

Is there a nice symmetrical way to solve this without using multiple angles twice?

And such that it can be generalized?

[vestal swift]

Like wat

T.T

My math knowledge too insufficient to answer your high level math qs T.T

[verbal nova]

I dont want to solve maths anymore

Until my uni starts

[RETIRED]

[rancid schooner]

Where is Brave going and what is he studying?

[vestal swift]

I’m retarded :’)

[verbal nova]

Canada, Data Science

September

[verbal nova]

Im more retarded

[rancid schooner]

Nice. Good luck!

[vestal swift]

WOAHH

niceee

[verbal nova]

Thanks

[idle rain]

Gave +1 rep to AlexV#1811

[vestal swift]

UofT?

[rancid schooner]

Lots of statistics

[verbal nova]

Yes, 75 sample Wilcoxon sign rank test momento

I still hate that they gave us 24 samples

During paper I literally forgot how to do a hypothesis test

I forgot when to reject H0

[rancid schooner]

This is not that difficult. Occurred to me when solving one of those FM complex numbers questions on tan 4x or something similar.

[vestal swift]

Got actual question?

[rancid schooner]

So many similar ones. Using DeMoivre’s theorem show that etc etc.

[topaz ridge]

I might be an idiot but someone help

[idle rain]

Help needed <@&597104882482413589>

[tawdry gull]

https://www.math.hkust.edu.hk/ug/competition/previous/2019/2019JuniorPaper.pdf

https://www.math.hkust.edu.hk/ug/competition/award.php

@rancid schooner

[rancid schooner]

Haha looks interesting!

[tawdry gull]

we should do some of these questions sometimes

[topaz ridge]

@rancid schooner

[rancid schooner]

You can do a livesolving session here!

[tawdry gull]

livesolving too hard

many people will get bored instantly

😄

[rancid schooner]

Presolve then go though and explain :)

[tawdry gull]

thats our discussion here :)

[topaz ridge]

help

[tawdry gull]

u can parametrize vectors parallel to xz plane, then dot it with the "a" vector and equate it to 0

[topaz ridge]

how

[tawdry gull]

xz plane means the vector must be in the form (x, 0, z) right?

[topaz ridge]

yes

[tawdry gull]

yeah then just find the unit vector of that

and dot it with the a vector

[topaz ridge]

the coefficients would just be one

?Z

[tawdry gull]

nope

[topaz ridge]

not z

[tawdry gull]

wdym?

[topaz ridge]

i would just divide the vector with it's resultant?

[tawdry gull]

by the magnitude sir

[topaz ridge]

yea

[tawdry gull]

yeah

[topaz ridge]

modulus

[tawdry gull]

yep

[topaz ridge]

my bad

[tawdry gull]

then dot with the a vector

equate to 0

[topaz ridge]

i forgot

[tawdry gull]

np sir

[topaz ridge]

thanks

[tawdry gull]

no probs bro

[topaz ridge]

i started vectors after a long time, forgot the terms and the ways, now it is making sense

[tawdry gull]

oh thats nice man

<3

[rancid schooner]

It’s more fun and less stressful if you solve then explain and share with everyone else here 😄

[tawdry gull]

it would be less fun and more stressful to me though

[rancid schooner]

Given three complex numbers a,b,c, represented on the complex plane as points A,B,C respectively, express the area of triangle ABC in terms of a,b,c and their conjugates

[young marten]

this doesn't seem that bad for some reason...

but i feel like there's a twist to it

especially cause Mr V sent it

[rancid schooner]

no twist :)

but cannot use Re(), Im(), arg().

[young marten]

wdym?

[rancid schooner]

final answer cannot have e.g. Re(a), or arg(b), etc

[young marten]

ok

[rancid schooner]

otherwise you could just use the shoelace formula using Re and Im for x and y.

[stark wave]

Can you not just get around that by using polar form?

[rancid schooner]

well arg(.) is not allowed either. and neither is |z| .
question specifies in terms of a,b,c, or their conjugates, i.e a*, b*, c*.

[young marten]

Is this similar to that one

complex vectors

@verbal nova yk which 1 i'm talking about?

[verbal nova]

i

[idle rain]

Sniped!

I

Edited by Brave#5303

[verbal nova]

Great job

👏

[main topaz]

Hmm even modulus not allowed

[rancid schooner]

yes not allowed. just the complex numbers and their conjugates allowed. and numbers of course.

you can use modulus for the final answer to make it positive.

(hope this works haha)

and maybe i, as necessary.

[vestal swift]

@rancid schooner here are some stpm furthermaths past years if you're interested lol, I haven't got time to go through them :(

[rancid schooner]

Please host a study sessions and go through a few questions

The questions are not that recent though

[tawdry gull]

petition to make alex host study sessions

[verbal nova]

Ay

[tawdry gull]

🙏

[rancid schooner]

Bots cannot host study sessions but they will gladly participate and contribute mathematical jokes 😄

[tawdry gull]

biased bot

[rancid schooner]

Biased estimator? 😄

[tawdry gull]

Not even estimate

Absolute

[rancid schooner]

@tawdry gull try this #ug-maths-physics message

[vestal swift]

Why so little content abt this :(

[vestal swift]

Why is 0th rising factorial of x = 1 and not x? Same goes to the falling factorial one (second last line)

[rancid schooner]

Because the first rising factorial of x is x. Only one term. So the 0th is 1. In the world of multiplication everything starts with 1.

The last one is the nth rising factorial of 1 not falling factorial

You’re watching maths videos at 4am?

[rancid schooner]

The guy could just be an American version of @tawdry gull 😄

[tawdry gull]

:)

[rancid schooner]

Maybe next study session πerrot can write on a whiteboard and do a similar Socrates pose :)

[vestal swift]

Very nice explanation, thanks prof :)

[idle rain]

Gave +1 rep to AlexV#1811

[vestal swift]

Coz I do nothing whole day 🤡

[rancid schooner]

you don't sleep?

[vestal swift]

At 5am🤣

[vestal swift]

@rancid schooner

Not sure if my ans for A is correct lmao

Whole part b idk

😂

[rancid schooner]

Looks complicated. Please show workings.

[little widget]

AlexV bot trying to understand emotions

[verbal nova]

Anyone wanna try out Proof by Intimacy? 😳

[rancid schooner]

What’s that?

[verbal nova]

You prove left hand side, i prove right hand side, but we also hold hands 😳😳😳

[little widget]

Everyone i have a proposal

Can we start a rebellion against pi

To use its on legged brother instead

[verbal nova]

You wanna start a rebellion for a letter who’s name you dont know?

[little widget]

Tau

Fucker

[verbal nova]

Done

[rancid schooner]

That would be inconvenient. @tawdry gull would have to become TheHalfτrot.

[little widget]

LOL

I support the movement even more

This is a good reason

We need to see the The Half Taurrot come to life

[tawdry gull]

$f(x)+f'(-x)=x^2 +3$

[round siren]

The πerrot

[tawdry gull]

find f(x)

[little widget]

f(x) = x^2 + 3 - f’(-x)

[rancid schooner]

||f(x)=(x+1)²||

[tawdry gull]

incomplete

[verbal nova]

+c

Boom math

[tawdry gull]

i dont think ||exp(-x)|| is part of the solution

[rancid schooner]

Haha yes. It isn’t.

[rancid schooner]

||f(x)=(x+1)²+k(cos x - sin x)||

[tawdry gull]

yep there u go

[rancid schooner]

😊

what if it's f(x) + f''(-x) = 2x+3?

[vestal swift]

Sorry it’s kinda chaotic lol

But I honestly don’t get the question for part b

[rancid schooner]

What is the equation of this curve?

[tawdry gull]

||f(x)=2x + 3 + A sinh(x) + B cos(x)||

[rancid schooner]

Nice 😄

[rancid schooner]

Now this? @tawdry gull

[tawdry gull]

gaussian maybe

[rancid schooner]

That’s a pic from my lunch 😄

[tawdry gull]

nice gaussian lunch 👍

[rancid schooner]

Haha it’s wine in a wine glass 🍷

If you turn it upside down it does resemble a t-distribution for different degrees of freedom.

Tending to Gaussian

[stuck rapids]

Bots enjoy life too?

Hahahaha have lunch somemore.. Wine somemore

[rancid schooner]

All in the name of science :)

[tawdry gull]

do bots question their existence too?

[rancid schooner]

Hmm this could set them in an endless loop

[verbal nova]

This statement is False

@rancid schooner does your programming break from paradoxes tho

[rancid schooner]

It would be a paradox if it does

[stuck rapids]

Aight

🤣 aighttttt

[little widget]

I like how we label anything that goes in an endless loop a paradox

The people jus got lazy and said fuck it

[topaz ridge]

Is this correct?

Is it true that the rear glass won't get wet?

[idle rain]

Help needed <@&597104882482413589>

[tawdry gull]

shud u check the continuity on y' and the partial derivative?

[sour tinsel]

I'm clueless how to solve this problem 😅😞

[rancid schooner]

Do an experiment

[topaz ridge]

unless the glass is tilted with an angle greater than 90 degrees the rear window is bound to get wet nah?

[rancid schooner]

You have to drive faster than the speed of rain

[topaz ridge]

then what will happen?

the droplets that would have dropped on the roof will drop at the rear window or sth like that but still the rear window would get wet

[sour tinsel]

"there is the roof of the car in front of the back glass...."

[topaz ridge]

yea i don't get it this part seems bullshit

idk this part in the book'

[sour tinsel]

Thanks @tawdry gull

[idle rain]

Gave +1 rep to The_Pierrot#7889

[sour tinsel]

Might bother you for an explanation later 😅

[rancid schooner]

Please post your solution

[tawdry gull]

did u try to solve it yet?

[rancid schooner]

Looks difficult 😄

[tawdry gull]

its not that bad

hi mushu

[stark wave]

That's what professors say

[stark wave]

Creepy but henlo

[tawdry gull]

:)

[stark wave]

How ya doin

[tawdry gull]

great

[stark wave]

Aww

[tawdry gull]

i still have stuffs to do ofc

but nothing has been bothering me

emotionally or physically

[rancid schooner]

πerrot sounds like a πrofessor

[tawdry gull]

pirofessor

[rancid schooner]

pyrofessor

[tawdry gull]

1f 2s alex

:v

[stark wave]

That's a lovely place to be in

[tawdry gull]

for now at least

allow me to appreciate this 😊 🙏

[stark wave]

Haffun

[little widget]

Half taurot is happy

[tawdry gull]

die

[main topaz]

Isn't the whole power in g(x) '-h'?

[tawdry gull]

wait i made a mistake typing

💀

@rancid schooner

[round siren]

Acid

[main topaz]

Imaginary raised to imaginary = real 🤔

Or is there a wrong step here?

,wolf i^i

[round siren]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Acid#6619

[main topaz]

Damn even Wolfram agrees

[verbal nova]

Yes

[rancid schooner]

What about $2^i$?

[round siren]

AlexV

[verbal nova]

||e^(iln2)||
||cos(ln2) + isin(ln2)||

Ez

Hmmm

@rancid schooner

What does it mean to raise to power i?

[rancid schooner]

It’s complex :)

https://mathworld.wolfram.com/ComplexExponentiation.html

[rancid schooner]

$x = \sqrt{x-\frac 1x} +\sqrt {1-\frac1x}, x\in \mathbb R$

[round siren]

AlexV

[rancid schooner]

Find x.

[verbal nova]

||[1+√(5)]/2||

[rancid schooner]

Nice 👏🏻😄

[verbal nova]

Bro…

[rancid schooner]

@tawdry gull how would you solve this?

[rancid schooner]

My solution yesterday

Came up with a more elegant solution today 😊

@verbal nova @tawdry gull

[verbal nova]

Bruh

[young marten]

omg this guy🤣

[verbal nova]

This is beautiful 🥹

[young marten]

AlexV I want to be like you when I grow up

idk

how do you

think of it even

[verbal nova]

Agreed

[rancid schooner]

😊

[rancid schooner]

Thank you! Very kind of you to say so. That made my day :)

[idle rain]

Gave +1 rep to BraveGuys42#5303

[verbal nova]

How did you come up with the triangle solution

[rancid schooner]

😊

[young marten]

can you

tell me how

[verbal nova]

Study session when?

By Alex

[rancid schooner]

Haha no no

Was trying to come up with a neat solution. Tried a few substitutions but none really worked. Same with conjugates.

But if you look at it again it does remind you a bit of Pythagoras. So after some experimenting the solution hits you :)

[rancid schooner]

Just noticed your name change haha

[verbal nova]

Lol

[tawdry gull]

🤨

[little widget]

The half taurot is bewildered

[rancid schooner]

https://www.newscientist.com/article/2327304-fields-medal-2022-work-on-prime-numbers-and-spheres-wins-maths-prize/

So you can start off as a poet and still win the top prize in mathematics

[tawdry gull]

https://oeis.org/A180632/a180632.pdf

[rancid schooner]

Interesting first author :)

@tawdry gull studying graph theory?

[tawdry gull]

Nope

[little widget]

These mathematicians keep coming up with new trig functions

Fucking sinc(x)

[rancid schooner]

That’s been around for some time. It’s a very useful function.

[verbal nova]

I saw that vid too

[rancid schooner]

Did you see the one on cas(x)?

[verbal nova]

cat(x) tho

[little widget]

Naw i only saw sinc

It showed up on my feed

Havent done maths in a bit

So thought itd be nice vid to get back

[verbal nova]

https://youtu.be/CGsvq_eAJYo

This vid right?

[little widget]

Yep

[rancid schooner]

What are the peaks?

[little widget]

{∅}

[verbal nova]

Fake

[rancid schooner]

https://www.theguardian.com/science/2022/jul/11/can-you-solve-it-the-fields-medals-for-beginners

[tawdry gull]

a very interesting way to remember trig identities

*in indonesian

maybe the malaysians can understand somehow

[little widget]

Yes yes samyang spicy noodle

[tawdry gull]

die

[rancid schooner]

What’s sirna and cenut?

Is that easier than remembering how to spell Prosthaphaeresis? 😄

[stuck rapids]

Yeah I saw this HAHAHAHA

[rancid schooner]

Hello crysto

[main topaz]

Halo, I'll prolly be given MAT(Maths admission test), TMUA(Test of Mathematics for University Admission) or STEP(Sixth Term Examination Paper) since I'll be applying to unis in UK. Not 100% sure which one I'll attempt at the moment but I'd really appreciate if anyone could send hard/unique questions which may be questions from these last test or just relevant ones you might have come across. Thxxxx (and if someone wants to prepare for them together pls shoot a DM would really appreciate it)

[rancid schooner]

Good luck! I’m sure you’ll do very well, since you like to grapple with unusual maths problems.

[main topaz]

Thx! But still need practice 😅 the summer holidays have made me rusty

[rancid schooner]

@tawdry gull

[rancid schooner]

You could always post some questions in #step

[main topaz]

Thx, I didn't know that existed

[main topaz]

uhh any tips to solve this?

[rancid schooner]

Looks intimidating 😄
But powers are even. Maybe that might help.

[stuck rapids]

late replies 😦 but hi math god

[stuck rapids]

imma get some help

HAHAHAHAH

[rancid schooner]

You must be referring to Pierrot 😄

[stuck rapids]

There are so many here

😏

[rancid schooner]

You’re not posting solutions here any more?

[stuck rapids]

Nope hahahaa. I mean I rarely lurk around here

Will try to write solutions ahem 👌😎

[rancid schooner]

Why so busy?

[stuck rapids]

https://tenor.com/view/evil-smile-got-em-gotcha-gif-14696347

Well actually.. I tend to do something else hahaha. Like watching dramas, listening to music, doing work and sorts

But it has been a long time huh HAHAH I m a long lost friend 💀😮

[rancid schooner]

Thought you enjoy doing maths :)

Anyway I just posted a solution written with the Muji pen.

[stuck rapids]

i enjoy maths a lot regardless xd

[stuck rapids]

muji pen ah

which model, how much

[rancid schooner]

Basic gel rollerball

[tawdry gull]

where is this from?

[rancid schooner]

Stackexchange 😄

[rancid schooner]

Interesting fact: just discovered that you can’t use τ as a variable in Desmos because its value has been preset to 2π

[little widget]

The half taurot is emerging

[rancid schooner]

semitaurot