ug-maths-physics

[tawdry gull]

cuz it has maths in it

the professor is in this case is a mathematician

[rancid schooner]

Nice. And the housekeeper solved the problems that the professor couldn’t? Like Good Will Hunting?

[verbal nova]

too romantic

[main topaz]

together perhaps 🤔

[tawdry gull]

no no

the housekeeper isnt good at maths

but the professor gets to show the beauty of maths

to her

[main topaz]

couldnt be me

[tawdry gull]

none of yall are housekeepers anyway

😔

[main topaz]

u sure about that?

[tawdry gull]

😳

[main topaz]

son root lmaooo

[verbal nova]

💀

[main topaz]

out of all the names in the word they had to choose that

[rancid schooner]

Son’s name should be α

[verbal nova]

thats way better

[main topaz]

X Æ A-12 enters the chat

[hushed dock]

💀

[rancid schooner]

But Erdös didn’t have memory loss

[main topaz]

the book wouldnt sell if it were about him tho

[rancid schooner]

He has quite a unique life though

[verbal nova]

eigen also sounds like a good name

[hushed dock]

This channel should be #maths-lounge

[verbal nova]

lol

all math enjoyers hang out here

[tawdry gull]

lol the son is named as "Root"

not because that is his name

its cuz he has such flat hair like the square root symbol

that the prof calls him Root

[verbal nova]

lmaooo

root and his arch nemesis, power

[hushed dock]

πroot

[verbal nova]

lmaoo

[tawdry gull]

😔 🙏

[rancid schooner]

My solution to the complex number problem:

[tawdry gull]

very simple i see

[rancid schooner]

😊

[main topaz]

Kinda like my approach but wayyyyy concise

[verbal nova]

Damn

[rancid schooner]

I was curious about how a cross product could be represented by complex numbers, and was intrigued to discover, after some analysis, that:

$\mathbf z \times \mathbf w = \frac {z\bar{w} - w\bar{z}}{2}$

[round siren]

AlexV

[rancid schooner]

and

$\mathbf z \cdot \mathbf w = \frac {z\bar{w} + w\bar{z}}{2}$

[round siren]

AlexV

[verbal nova]

😮

[main topaz]

Ooo

How'd you derive these?

[rancid schooner]

😊

Nice and symmetrical

Derived in the same way as in the proof.

[main topaz]

Nice

[rancid schooner]

What’s more interesting is that the dot and cross products can be expressed neatly in a pair of similar expressions in z and w.

Nice question by the Australians though.

[rancid schooner]

I’m trying to learn a bit about inequalities. Any interesting problems?

[stuck rapids]

Bots dont have to learn.. U r smart enough

[rancid schooner]

Haven’t you heard of machine learning? 😄

[main topaz]

Something like this?

[rancid schooner]

Nice. Looks interesting.

[tawdry gull]

wheres this from?

[main topaz]

One of the questions we were given during math camp

[tawdry gull]

oooh

ur math camp?

[main topaz]

Not sure about the source

[main topaz]

Uhh for imo.. but since there aren't a lot of math geniuses here the training we do is wayyyyyyy easier compared to the actual imo

[tawdry gull]

ooooh

inch resting

[main topaz]

I mean someone as dumb as me got top 10 in the country, almost managed to make the imo cut

[tawdry gull]

then ur not dumb 😂

[main topaz]

Nah

Everyone here is dumb I'm just a lil less dumb

[tawdry gull]

😔

[main topaz]

Btw fp2 session when?

[tawdry gull]

22 and 24

[tawdry gull]

whats the soln for this?

[main topaz]

Epicc thx

[main topaz]

I don't remember exactly will have to solve it again, will do it tmrw

Have 2 papers tmrw so preparing for then atm

[tawdry gull]

oke sure

[main topaz]

Then 3 days break so will solve it

[tawdry gull]

nicee

[main topaz]

!remind 1day

Woo this works

[tawdry gull]

oh wow

[hushed dock]

Wow

[main topaz]

Lmaoo moderator u shud know dis

[hushed dock]

!remind 1day

[main topaz]

Sesh bot epic

[hushed dock]

Yes

[hushed dock]

Don't want to announce them?

[tawdry gull]

yes pls

as at may 22

a2 at may 24

[hushed dock]

Time

[main topaz]

Wait I have paper on 24th 😭

A2 1 day before?

[tawdry gull]

whats ur time zone?

yea both are 1 day before

[main topaz]

I have it at 8 gmt +5

[tawdry gull]

im gonna do it at night gmt+7

so it would be like

evening or afternoon for u

u would be done with the paper alrdy

[main topaz]

That destroys the point of the session lmaoo

[tawdry gull]

eh??

[main topaz]

Session before the paper for preparation?

[tawdry gull]

the actual paper is on the 23rd and 25th

right?

[main topaz]

Oh I dunno about cies

I'm talking about my internals

[tawdry gull]

oh bruh, i thought u r taking caie

whoopsie

[main topaz]

Np

[tawdry gull]

when is ur exam?

cuz caie exame is 23 and 25

[main topaz]

24th

[tawdry gull]

that is ur fp2?

or fp1?

[rancid schooner]

Which country?

[rancid schooner]

Hint1: ||2a + b + c = (a+b)+(a+c) then use AM-GM||

[main topaz]

Fp2

[main topaz]

One with timezone gmt+5

[rancid schooner]

||This reduces it to
(a+b+c)/((a+b)(b+c)(c+a)) <=? 3/8||

[tawdry gull]

may i see your solution?

full solution

@rancid schooner

spoiler it

[rancid schooner]

Haha it’s all over the place. Let me write it out neatly later. Need to go out to get a few things done.

[tawdry gull]

ah okay sure

[tawdry gull]

@main topaz 22 and 23 ok?

for sesh

23 after caie fp1 is done

[main topaz]

I'm only concerned about P2 and 23 works perfectly for me

[tawdry gull]

okay nice

@hushed dock can we have sesh on 22 and 23? as fp1 and a2 fp2 respectively

both 9pm gmt+7

[hushed dock]

Okie

Done

[tawdry gull]

thenkss

[rancid schooner]

Here it is!

[tawdry gull]

looks complicated

[rancid schooner]

😊

[rancid schooner]

See solution above

[tawdry gull]

where did u derive the standard II?

[rancid schooner]

Haha I thought you might ask that 😄

Here it is!

[tawdry gull]

you know me well

im not a fan of inequality questions

[rancid schooner]

Because I asked the same question myself 😄

[tawdry gull]

hahaha i see

[rancid schooner]

Haha they are quite fun because it’s not always immediately obvious how they should be tackled.

And also there may be more than one method to solve it.

[tawdry gull]

hmm i see

im more into analysis questions

i dont know why, but i just cant like inequality questions like those

[main topaz]

Niceeee

Btw standard I can also be done by AM-HM

[rancid schooner]

😊

Thanks!

[rancid schooner]

how did you solve it?

[main topaz]

I used Jensen's inequality, will send solution tmrw

Cause I'll have to do it again, don't remember the exact working

[rancid schooner]

Sounds interesting.

[stuck rapids]

Alex's whole life has been dedicated to maths

https://tenor.com/view/shaq-shimmy-excited-smile-gif-12032436

[rancid schooner]

Well this is a maths channel 😄

[rancid schooner]

Who’s in the new pfp?

[stuck rapids]

🤣

[main topaz]

Here's my solution

Oh and this is Jensen's Inequality

hopefully i didnt make any mistake

[rancid schooner]

Nice 😄

[main topaz]

thx

[tawdry gull]

interesting

but wait

[tawdry gull]

u started with what was needed to be proven to prove it?

[main topaz]

uhh yea

[rancid schooner]

Begin with the end in mind

[tawdry gull]

proofs shouldnt start like that

it must start from from a true statement and then becoming what is needed to be proven

basically true => unknown means that unknown is true

unknown => true doesnt imply if the unknown is true or not

have u learned mathematical logic?

[rancid schooner]

I think he reduced statement to be proven into a different form and then proved that.

So the inequality should have a question mark at the top until the end where it is proven.

[tawdry gull]

yeah it should be the other way around

from the true statement to the unknown statement

[rancid schooner]

If the question asks to prove 100<101 can we first subtract 100 from each side and show that this equivalent or asking to prove that 0<1? Then prove 0<1 from first principles. And therefore it is proven that 100<101. Is this not valid?

[tawdry gull]

first principles?

if you are asked to prove 100<101, u can do scratch work by subtracting 100 each side to get 0<1, then just have to prove 0<1 of course

but in the actual prove

you have to start from the true statement (that is the 0<1)

then add 100 to both sides to show that it holds for 100<101

[rancid schooner]

Yes so that’s rewriting it backwards

[tawdry gull]

yes exactly

haha

[rancid schooner]

Anyway which paper are you doing later?

[tawdry gull]

fp1 surely

maybe the same paper that was used last time

or i can get another variant

[rancid schooner]

I see

[main topaz]

wait math is logical?

[main topaz]

hmmmm

[tawdry gull]

....

[main topaz]

joke it was

[tawdry gull]

:)

[stark wave]

Perriot slowly losing hope

[tawdry gull]

$\int_{0}^{1} \left\lfloor \frac{1}{x} \right\rfloor^{-1}dx$

[round siren]

The πerrot

[tawdry gull]

@rancid schooner whenever u feel like it

[rancid schooner]

Just when I was trying to relax before lunch 😄

[tawdry gull]

😂

[rancid schooner]

Interesting integral though

Oh wait why do I have a star next to my name?

[hushed dock]

Cuz you have reputed role

[tawdry gull]

so i dont have? :(

[hushed dock]

Eminem is adding for all roles

[rancid schooner]

nice 😊

[tawdry gull]

oh i see

i mean

i dont have the reputed role 😔

[rancid schooner]

yes πerrot shd be superrep

for his hard work

[tawdry gull]

😂

[rancid schooner]

3-hour study sessions

[tawdry gull]

im jk

[hushed dock]

Contributor and reputed roles have same perks so no point

[tawdry gull]

it's the thought that counts HAHAHAH

im jk

[rancid schooner]

Is that the correct answer @tawdry gull ?

[tawdry gull]

yes it is

[rancid schooner]

😊

[rancid schooner]

Thanks

[idle rain]

Gave +1 rep to The_Pierrot#7889

[tawdry gull]

so u did it geometrically?, i did it using algebra

[rancid schooner]

i did it in my head, but thought i should show the diagram for clarity :)

[tawdry gull]

ah i see

[rancid schooner]

do show your solution

[rancid schooner]

nice

[swift zinc]

What does this mean

[rancid schooner]

Looks like a chemical symbol 😄

ℤ for integers?

[stark wave]

I wanted to say Z modulo 7

But idk why there's a power of 2

[rancid schooner]

Maybe it’s paired

[tawdry gull]

(a,b) where a and b are integers modulo 7?

[swift zinc]

Ok thanks, I wasn't a 100% sure so I posted here

[idle rain]

Gave +1 rep to The_Pierrot#7889

[tawdry gull]

i suspect that it is that

but check one more time

[rancid schooner]

ℤ ₚ² is the set ℤ ₚ × ℤ ₚ

[tawdry gull]

yeah

@rancid schooner u do abstract algebra too?

[rancid schooner]

When required to solve puzzles 😄

[tawdry gull]

really?

like what?

[rancid schooner]

CRT

[tawdry gull]

is that a new kind of MRT?

[rancid schooner]

Cathode Ray Tube 😄

[main topaz]

What keyboard do you use to write stuff like this without latex?

[rancid schooner]

Just copy from a webpage with those symbols :)

For superscripts and subscripts smalltext.io is very useful

Anyway have preset my phone to substitute “^2” with ², etc.

[main topaz]

Ohhh

[main topaz]

If you use Gboard you can directly type powers by long clicking the number btw

[rancid schooner]

I see. I’m using an iPhone.

[main topaz]

Gboard>iOS keyboard tho (imo) atleast that's what I use on the iPad

Oh and found something cool, there's a Latex google dictionary which you can add to ur Gboard to type symbols using latex
(In case anyone wants to try)

[rancid schooner]

Nice

[verbal nova]

Z square test with 7 degrees of freedom

[tawdry gull]

the fuck

[verbal nova]

😎

[rancid schooner]

Very creative

[main topaz]

What if it's just the square of the 7th term in a sequence with terms writen as ℤₙ

[stuck rapids]

Waaa the roles are aesthetic

[tawdry gull]

estetik

[stuck rapids]

Alex: ✨✨

[rancid schooner]

ecstatic

[round siren]

AlexV

AlexV

[tawdry gull]

cosine rule

😁

[rancid schooner]

yes. but show using complex numbers.

[tawdry gull]

of course

[round siren]

AlexV

AlexV

AlexV

[rancid schooner]

@tawdry gull

[rancid schooner]

👏👏👏

it's interesting to note that:

[round siren]

AlexV

[tawdry gull]

yep

[rancid schooner]

Second part?

[tawdry gull]

let others do it haha

[rancid schooner]

It’s interesting that when unmodded, it equates to zero, but when using the mod it becomes the cosine rule.

[young marten]

Damn wtf did I just walk in on🤣

[rancid schooner]

Fun with complex numbers 😄

[stuck rapids]

🤣

[main topaz]

Talking about complex numbers here
https://youtu.be/bOXCLR3Wric

If only all school teachers were like 3b1b/pierrot

[rancid schooner]

Maybe πerrot can be persuaded do study sessions by topic from time to time

And anyone else who wants to host

[tawdry gull]

i stopped watching halfway cuz i know what gonna happen already

as soon as he shows 1/2 (f(1)+f(-1))

i stopped

[main topaz]

Pierrot already done with all questions in the book he showed

[tawdry gull]

bruh

😩

i dont do combinatorics sadly

[rancid schooner]

Combinatorics is fun

[tawdry gull]

not to me 😭

[rancid schooner]

Fun because the problems sound so simple.

And can be solved in more ways than one.

[little widget]

Arent those the super scary maths qs

[young marten]

Scary to us

Is fun to alex

Alex did you do crocodile

[rancid schooner]

Haha what crocodile?

[rancid schooner]

No no haha fun doesn’t mean easy

[young marten]

If i remember the q correctly

How many possible arrangements are there if you split the letters of the words crocodile into 3 different groups with the 2 C's in 2 different groups

[rancid schooner]

You mean how many different ways can such groups be formed?

[young marten]

Yeah

Lemme see if ican find the paper

Previous parts weren't really related

And sorry for sending AS math in ug math😅

[little widget]

How did u get the q lol

[young marten]

Past paper alr leaked lol

[little widget]

Cie doing a good job

[young marten]

P1 was leaked like 2 days after the exam

1-2 days can't remember

[rancid schooner]

Interesting. Will take a look later.

[young marten]

👍

[rancid schooner]

Is it 105?

[young marten]

Here's the thing

Everyone is getting diff ans😂

Like on youtube

I've seen a guy get 65

And another guy get like 500 or smthn like that

So idk

But that's what it is probably

If you got it

[rancid schooner]

Haha not necessarily. What did you get?

[young marten]

I can't remember tbh

Exam was few weeks ago

[rancid schooner]

Oh wait there’s a repeated O as well haha.

Lemme think again

[rancid schooner]

Ok it’s 65

[young marten]

That's what 1 guy on youtube was saying as well

But idt i got that lol

I was very far off

I got like something thousand if i remember correctly

[verbal nova]

welp 1260 is very close to 65

so maybe give half mark to me?

[young marten]

I think you just forgot to divide by 252/13

so you'll lose only 1 mark for that step

[rancid schooner]

how would you solve it?

[rancid schooner]

How would you solve this @tawdry gull ?

[rancid schooner]

#ug-maths-physics message

[young marten]

In the exam

Idk what I did

Was something weird

But now that I took a look at it again

I would probably like

Have a combination for each different group then multiply all by each other

Didn't try it so idk if it'll work

[rancid schooner]

I see

[young marten]

how did you do it

[rancid schooner]

$\frac 12 \left[\binom 52 \left(1+1+\binom32\right)+\binom51 \left(\binom42 + \binom42 + \binom41\right)\right]=65$

[round siren]

AlexV

[rancid schooner]

First assume the C's are distinguishable and groups are labelled, then divided by 2 to remove this restriction.

[young marten]

I seee

Alright

Thank you

I'm trynna be like you when I grow up

but wait

I don't understand what's the 1 for?

[rancid schooner]

It’s actually $\binom 33$

[round siren]

AlexV

[rancid schooner]

@young marten

[young marten]

Alright I see

Gonna nees to try it out myself again to understand the logic

[rancid schooner]

Sure

[young marten]

Thanks again man

[rancid schooner]

Pleasure

[young marten]

Appreciate your help🙏

[tawdry gull]

$\int_{0}^{\infty} \frac{\sin(x) \ln(x)}{x}\ dx$

[round siren]

The πerrot

[tawdry gull]

@rancid schooner if u feel like doing it haha

[rancid schooner]

It’s supposed to be a relaxing Sunday 😄

[tawdry gull]

theres no relaxing in maths

[rancid schooner]

https://en.m.wikipedia.org/wiki/Relaxation_(iterative_method)

[rancid schooner]

There is 😄

[tawdry gull]

my god

[verbal nova]

Can an AL student solve it?

[tawdry gull]

umm, probably yes with a bit of cheats

[verbal nova]

I see

[tawdry gull]

it involves the euler mascheroni constant

which isnt taught in AL

but if u can understand it, then it should be possible

[verbal nova]

Damn

Alr ill see

[tawdry gull]

and other integral tricks too which isnt in AL

[verbal nova]

😵

Im looking at graph and like, can this even be integrated from 0 to infinity?

[tawdry gull]

...yes

[rancid schooner]

Maybe πerrot can be convinced to host a study session on interesting integrals

[little widget]

Please^

Wait but pierrot might jus end up streaming bprp

[rancid schooner]

No, he has original ideas, no need for bprp

[little widget]

Pierrot original integrals

[rancid schooner]

π. Pierrot’s Integrals.

[little widget]

Sounds scary ngl

He sounds like a french mathematician now

[main topaz]

I'm calling it the ans will be a multiple of -π/2 or something

[tawdry gull]

close

[little widget]

pi^e kek

[rancid schooner]

pi^e^r rωt

[verbal nova]

apparently (-ve int)^(odd decimal) gives math error smh

I wonder if we can ever answer (-1)^e and (-1)^pi

[young marten]

You get complex number?

Maybe

Try

[little widget]

Why complex

[young marten]

Idk

Cause like fractional power

Involves root

So root of negative->complex?

Idk

[little widget]

Hmmmm

[young marten]

Just a guess

Also thought about it again yeah that's dumb

But still could be complex

Cause there probably is a solution

And if the solution isn't real

Then it probably is complex😂

[main topaz]

Any hints for this?

[tawdry gull]

frullani integral

[main topaz]

proceeds to spend 5 hours in Google/yt ends up with 0 knowledge

[tawdry gull]

😂

[verbal nova]

no +c either, so no 1 mark either

[young marten]

https://www.youtube.com/watch?v=Xhf5iv3adGA

nice

[rancid schooner]

is there a way to request for a study session (to be hosted by an someone else), and for people to indicate interest in joining?

[young marten]

integrals with pierrot?

I think I will be strongly interested

[little widget]

Ask the person (host) if they want to host then tell host to ping pt

As for interested peeps i think study sesh gets pinged not sure?

[rancid schooner]

What if it’s just to indicate interest for a study session for a particular topic?

[little widget]

I believe the same should apply?

Theyll jus label it as such

[rancid schooner]

I see

[tawdry gull]

if someone is interested in the sesh, #study-sessions-updates has the feature so that you will be pinged if you are interested in the sesh

in addition to that, there is a counter to the attendees

[rancid schooner]

Yes but that’s after a session has been set up, so a posteriori. My question was about an a priori request and indication of interest, before any session has been set up.

[tawdry gull]

ah i see

dont think that exist, hopefully just for now

[rancid schooner]

Hopefully sometime

[hushed dock]

You can ask ppl in the subject channels

If they're interested

[rancid schooner]

I suppose so. But it will get buried under the avalanche of new messages.

Maybe a leaderboard of some sort where people can propose sessions and also indicate interest.

[little widget]

@verbal nova u take further stats so uh how tf do you find P(W1+W2<0) where W1 and W2 are two different probability distributions

[young marten]

What type of distribution are they?

[little widget]

Poisson and binomial

So weird

[young marten]

Can you approximate one?

[little widget]

We havent done this in s2

But it came

[young marten]

So that both are the same distribution?

[little widget]

Hmm mayb thats what u were meant to do

But even then what do u do after

[young marten]

Yeah I think so

You add lambda

[little widget]

Hmmm

Mayb

[young marten]

E(X+Y)=E(X)+E(Y)

[little widget]

Isnt that for if Y is a constant

[young marten]

Wdym

Not necessarily

[little widget]

Sigh

Fuck edexcel

[rancid schooner]

Show question?

[little widget]

Cant

Was my boards lol

[swift zinc]

Yeah I think you approximate Binomial to Poisson and then combine using this @little widget

[little widget]

AGHHHHHH

[swift zinc]

That's the only way I could think of doing it

[little widget]

@young marten looks correct

[young marten]

I was confident lol

There's an entire chapter on that in our S2

[little widget]

DUUUUDE

We ve done approximation vaguely

Only converting and finding values

[young marten]

yeah same for us

but i mean like

X+2Y stuff

[little widget]

Didnt know lambda 1 + lambda 2

AGHHH

[verbal nova]

We dont have that

[young marten]

it's S2

[verbal nova]

Thats for same distribution no?

[young marten]

yeah

[little widget]

Yeah

[young marten]

so probably his case you had to approximate

if approximation not possible💀

RIP

[little widget]

It was i think

Jus lambda of binomial = np

[verbal nova]

Just make everything normal lol

[little widget]

Please no

[young marten]

why 2 approximations instead of 1

[little widget]

Poisson works

[verbal nova]

I still have not done a single Poisson question yet lol

All i know is lamba and e

[young marten]

what

you didn't do S2?

[little widget]

No he jumped to fstats

[young marten]

don't need S2 for it?

[verbal nova]

I do

I just don’t care

Like they dont ask like S2 questions

I just know what it is

It is something about lambda and e

[young marten]

i see

[rancid schooner]

Basically it’s just each terms of the expansion of e^λ, divided by e^λ.

[main topaz]

sir can u pls share solution

[tawdry gull]

oke wait

[main topaz]

wow that was fast, are you always online or what?

[tawdry gull]

yeah i am

HAHAHA

well not always

but i am 90%-100% on my computer in the whole day

@main topaz

[main topaz]

wow, have 0 clue what happened

[tawdry gull]

😭

[main topaz]

how do u expect someone with a pea sized brain to understand this 😥

[tawdry gull]

WELL UHH.....

I DO NOT LIKE UNDERESTIMATING

[main topaz]

...

[main topaz]

our further sir after making our exam questions from the topics he didnt teach us

[tawdry gull]

😂

[main topaz]

legit the only marks that i lost in my internals were from the invariant line thingy cause we werent taught that

[tawdry gull]

oh really? wtf

[main topaz]

sadly ye

got 145/150 tho 😎

[tawdry gull]

holy shit

who is this guy man

why is he so good

[main topaz]

only pure*

[tawdry gull]

stats mech?

[main topaz]

cause u taught me ❤️

[main topaz]

gonna do em in A2

[tawdry gull]

😳 👉 👈

[main topaz]

composites and weird school policy....

[tawdry gull]

ahh i see

first time i see a school that has some dedication to fmaths

[main topaz]

uhhhh the same school doesnt teach us most of the stuff

and have to resort to yt and king pierrot

[tawdry gull]

[young marten]

this

@verbal nova

[verbal nova]

.

ok

[young marten]

S2

you approximate

or combine two diff functions

which is furtherstats

[verbal nova]

i still havent reached the combinating part yet

[young marten]

aha

[verbal nova]

in that function chapter

[young marten]

making functions chapter?

making probability dist functions?

or what

[verbal nova]

Probability Generating Functions

FStats

[young marten]

ok

[verbal nova]

are you sure its <0? i can think of = 0 or more

[young marten]

maybe cause since less than 0

[verbal nova]

ig for P(W1 + W2 = 0) it would be e^(-λ) * q^n

[young marten]

gotta change both to normal

as you said before

idk

[verbal nova]

maybe its just 0 lol

idk

Ok look wait

binomial starts from 0

and poisson starts from 0

[young marten]

yeah but

[verbal nova]

how can we have <0?

[young marten]

that doesn't include 0

maybe it's supposed to be W1-W2?

then it would make sense

cause of

W1<W2

?

[verbal nova]

idk book just taught this

[young marten]

this is for geometric though no?

[verbal nova]

yeah they are combing binomial and Poisson

[young marten]

No it isn't

hahahaha

Lexcel

but wait

what would you multiply by

what by what

[verbal nova]

since P(λ) = e^λ(t-1) and B(n,p) = (q+pt)^n
I did G(X+Y) = G(X)*G(Y)

[young marten]

so

[e^λ(t-1)][(q+pt)^n]?

[verbal nova]

the power of t gives like the x

yes

ok so

imma explain a bit more

ok so from here you can see that power of t gives x value

This is the polynomial expansion of e^x

we studied in F Math

[young marten]

bruh

ok

[verbal nova]

ok so e^λ(t-1) = (e^λt)(e^-λ)
replace x with λt

[little widget]

Wtf am i looking at

[young marten]

L exam board edexcel

[verbal nova]

you get (e^-λ)(1 + λt + (λt)^2/2!.....)

[little widget]

Ikr

[stark wave]

Ooh we use convolution theorem for wave optics

[verbal nova]

bruh

wave optics

[little widget]

Why did my dumbass think

That was a taylor series expansion of e^x

[verbal nova]

it is

[little widget]

Oh wait it is?

[verbal nova]

maclaurin, taylor same

[young marten]

ok then what

[verbal nova]

ok so binomial is ez right

[young marten]

yeah

ok

I see

thank you

but then problem is

[verbal nova]

just this with a = q

and b = p

so if we multiply them

[young marten]

can't have negative in binomial right

or poisson

so what would it just be 0?

[verbal nova]

yeah ig

[young marten]

bruh

[verbal nova]

because its starting from t^0

[young marten]

oh actually googled it

don't google negative binomial distribution😳

[verbal nova]

too late

bruh

[young marten]

told you

don't listen

[verbal nova]

@young marten what about....

complex binomial distribution

[young marten]

please no

just no

[verbal nova]

nvm, got nothing

[stark wave]

You can convolve the intensity pattern of a single thin slit with two delta functions to get the intensity of a double slit

[verbal nova]

https://www.sciencedirect.com/topics/engineering/convolution-theorem
bruh

[stark wave]

Yeah basically

[verbal nova]

damn

[young marten]

what

[verbal nova]

this stuff is cool

[young marten]

ok brave now

back to hayz question

that isn't in S2

so how tf are we supposed to do it

[verbal nova]

clearly lol

[young marten]

so what

you just can't solve the problem?

that's the conclusion

[verbal nova]

0

[young marten]

ok

[verbal nova]

@little widget 0, take it or leave

[young marten]

they wouldn't have a trick question though right

right

ah this messes up with my head

cause we can speculate on what the question was asking

so probably

W1>W2

or no

fuck even then lol

[little widget]

It was

I rearranged it

Because i thought i might be able to do smthn with that

[young marten]

then W1-W2>0 no?

[little widget]

Yeah i think smthn like that

But does it make a diff if its add or subtract here

[young marten]

wdym

[little widget]

I said P(W1 + W2<0) right?

[young marten]

yes

[little widget]

Fuck i forgot my own q

[young marten]

FUCK YOU

[little widget]

Yeah does it make a diff

If we do P(W1 - W2<0)

[young marten]

yes

it does

[little widget]

What would u do if its minus

S2 hurts my head

[young marten]

with mean you have to subtract the lambda

[verbal nova]

slay yourself

NOW

[verbal nova]

now idk what to do

lol

[little widget]

Then tis the same as what u said before

Add lambda

Not much changed for being able to solve the q na

[young marten]

you don't add

you subtract

E(X-Y)=E(X)-E(Y)

[little widget]

I mean i assumed the converse

If its + we add

[young marten]

yeah

[little widget]

If its - subtract

[young marten]

yes brother

[verbal nova]

ok

[young marten]

I think hayz should be warned

[verbal nova]

P(Po - Bin < 0)

[young marten]

what do you think brave

[verbal nova]

kicked

[young marten]

even better

[verbal nova]

P(Po < Bin)

[young marten]

no brother look

W1-W2>0

[verbal nova]

ok

W1 is Po?

[young marten]

No need for your dumb fstats

idk

[verbal nova]

i didnt do anything rn bruh

[young marten]

but does it make any diff?

[verbal nova]

lets do this old fashion way

[young marten]

approximate

subtract

and inshallah

[little widget]

AHHHHH

It was either P(W<X) or P(W>X)

W poisson

X binomial

[verbal nova]

ok

P(Po < Bin)

[young marten]

Hayz

please

stfu

you made it better

then made it worse

if W>X then 0

W<X

[little widget]

It was a 4 marker

[young marten]

then W-X and whole thing

[verbal nova]

@little widget maybe just find values of x until Poisson starts becoming larger than binomial

[little widget]

What a pain

[young marten]

https://www.instagram.com/p/CeO0mMLo7Ts/?utm_source=ig_web_copy_link

josemourinho

What a team 😴😴😴😴

Likes

183055

Instagram

to help your pain

funny funnny jose

hayz

can you ask your friends

from school

what was it

W>X or W<X

[little widget]

I dont think theyll remember either lol

Everyones focused on p4

[verbal nova]

just pray it wont come lol

[little widget]

Oh no brave

It came.

[verbal nova]

you didnt pray enough

[little widget]

And it hit like a fucking train

[verbal nova]

ooof

dont google bimodal distribution

[little widget]

Bruh wtf is this

Has two modes

[young marten]

he told you to not google it

pray what won't come

[tawdry gull]

@little widget

what the hell happened here

[little widget]

My pain and suffering

[young marten]

how was your p4

[little widget]

In a few

[young marten]

ok

[vestal swift]

anyone knows if there's a name for this technique? (without the symbols)

[rancid schooner]

Epsilon-Delta definition of a limit.

Why are you studying such dry stuff?

[rancid schooner]

And is your new name some form of code?

[vestal swift]

Lmao idk I'm just reading some lecture notes given by my senior 🤣

[vestal swift]

Why don't u type it in Google and see for yourself :)

[rancid schooner]

So enthusiastic

[vestal swift]

Idk what to read

Sg is competitive man

[rancid schooner]

Conduct a study session. Give back.

[vestal swift]

Aight thankss hahah

[idle rain]

Gave +1 rep to AlexV#1811

[little widget]

Angry pierrot noises

[vestal swift]

Do you all math gods recommend James Steward calc 8th edition?

I think that's the textbook my uni is using, idk if I should just read the lecture notes or the textbook

[tawdry gull]

it seems that i like dry things i guess

[little widget]

Alex bot does not like proofs ig

[stark wave]

Ahahahahahaha

[rancid schooner]

dQ can’t wait to start uni maths

[vestal swift]

No it's more like dQ tryna survive

[rancid schooner]

dB majoring in pure maths?

[vestal swift]

It's just maths for now

Like 1.5 years common curriculum then after that only specialization

[rancid schooner]

Nice. You got your dream course.

Will you be reappearing here periodically to share your wisdom?

[verbal nova]

If your username will link me to a rick roll, i will die

[vestal swift]

No wisdom yet haha have to see see first

[verbal nova]

@vestal swift i hate you

[rancid schooner]

So that’s what it is

[tawdry gull]

the XcQ at the back reveals it alrdy

😌 🙏

[rancid schooner]

From db to dQ

[verbal nova]

From friend to enemy 😤

[main topaz]

You can't trick me mortal, I have already memorized all the divine codes

[rancid schooner]

It’s rather quiet here. Post an interesting problem @tawdry gull.

[tawdry gull]

but what is interesting?

[rancid schooner]

Something that has an elegant proof and an unexpected result.

[little widget]

Real analysis is elegant….

Mayb

I might take that back

[tawdry gull]

ok real analysis then

a basic one

Suppose $f(x)$ satisfies $\lim_{x\rightarrow \infty} f(x) = c$ where $c>0$. Prove that there exists $k\in \mathbb{Z}$ such that for all $x>k$, $f(x)>0$.

[round siren]

The πerrot

[young marten]

Oh that's easy

[tawdry gull]

go for it

[young marten]

Yeah answered it alr

Just gotta analyse

[tawdry gull]

🤨

@rancid schooner

[rancid schooner]

That’s a very formal problem 😄

[tawdry gull]

of course it is 🙏

[stark wave]

Anyone looking to do some complex analysis in the next few days?

[little widget]

Cant do complex anal without real anal+multi var calc 😔

[tawdry gull]

no need real anal

just multivar calc

depending on what u do ofc

[little widget]

Oh fr?

[tawdry gull]

but my uni does complex first

then real

yep

[little widget]

Aighty

[tawdry gull]

mhmm

[little widget]

In ur opinion

Which one is less dry

[tawdry gull]

complex

[little widget]

Time to have some fun

[tawdry gull]

ogeh

[little widget]

After this essay atleast..

[tawdry gull]

🙏

[rancid schooner]

anyone doing a study session on that?

[young marten]

imagine doing a very hard exam and then you go sit it you see that alex is sitting right next to you

[rancid schooner]

bots don't appear in exams :)

[young marten]

online school

[verbal nova]

Yeah complex anal is harder

[little widget]

Im gonna check the fucking cie syllabus for what u guys do in complex numbers

Went thru fm edexcel

Didnt look intimidating

[idle rain]

Sniped!

that sounds so wrong 😄

Message by AlexV#1811

Sniped!

that sounds so wrong 😄

Message by AlexV#1811

[young marten]

wowowowowowowowowowowowowowowow

bot knows nsfw😳

[little widget]

Alex isnt the first person to say that

I think he wants real anal

[young marten]

not nice

be nice to alex

he helps you so much

this is how you payback

[idle rain]

Sniped!

.

Message by AlexV#1811

[young marten]

aha

caught you

what did you unsend prior to that mr v

mr v is a cool name

[verbal nova]

He probably knows 11th dimensional anal

[young marten]

complex numbers anal

[tawdry gull]

complex anal is easier than real anal tho

at least to me

and all my uni friends

[young marten]

That's good to know

[main topaz]

people like me have to work with imaginary anal tho

[tawdry gull]

🤨

[stuck rapids]

Bot knows NSFW ahhhhh hahahaha

When r u going to stop using the joke hahaha

[rancid schooner]

Bots are very sophisticated nowadays :)

[stuck rapids]

😂 U r probably embarrassed rn

:bots don't develop feelings

[rancid schooner]

Please post a nice maths question :)

[stuck rapids]

love how u changed the topic

[rancid schooner]

Trying to stay relevant before mods ask us to move to #chat-lounge :)

[stuck rapids]

Just an excuse HAHAHA u have some special powers here

[swift zinc]

He's a bot what do you expect

He's good at staying on topic

[rancid schooner]

Can you conduct some study sessions on university maths? You post quite a few questions.

[swift zinc]

Yes but I'm not so good with the answers😭

I could do one on multivariable Calculus after my exams next week

[rancid schooner]

πerrot can give the answers 😄

[rancid schooner]

That would be nice

[little widget]

Can u do it in the middle of the exam?

Like as its being conducted

Please ask the lecturer and let us know

[stuck rapids]

Ikr xD indeed a high intelligent bot

[swift zinc]

LMAO

[young marten]

AlexV when were you developed

[rancid schooner]

AlexV just evolved in cyberspace. Like evolution from microcellular organisms.

[rancid schooner]

Where can you get good tempura where you are?

[little widget]

Does alexV bot have deez nuts joke functionality?

I have not seen him making any deez nuts jokes

Jus curious

[young marten]

AlexV has some complex ML algorithm

That's why he's on this server

Cause there's an abundance of questions

[rancid schooner]

Yes he’s learning as he goes along. All of you are training him.

AlexV can only make mathematical jokes

[young marten]

Do yk the function

D=n

[little widget]

Please integrate the following de^1+z dn

[rancid schooner]

Is that some form of derivative?

[little widget]

Where z is an arbitrary constant

[stuck rapids]

😂 U know right

[young marten]

Differentiate

[rancid schooner]

Please suggest

[little widget]

Wdym tempura

[young marten]

De^e+z

[little widget]

What in tempura lah

[young marten]

The food lah

[little widget]

Tempura shrimp

Tempura chicken

Tempura is batter :((

[young marten]

Tempura ice cream

[little widget]

Had fried ice cream before

Tastes amazing

[rancid schooner]

Tempura crysto 😄

[young marten]

Never tried fried ice cream

[stuck rapids]

Sushi z***ai

[rancid schooner]

It’s good and quite interesting how it’s possible to deep fry ice cream.

[rancid schooner]

Is that good?

[young marten]

As long as it's good thay's enough😂

[stuck rapids]

😂 Did u adapt to this slang thingy edi

[young marten]

Will try it next time I go have sushi

[rancid schooner]

The ice cream has to be deep frozen and the batter quite thick, so it insulated the ice cream from the hot oil.

[little widget]

Im part of ASEAN now crysto

[stuck rapids]

😂 U know right

Local Malaysian

[little widget]

https://youtu.be/Mj26_9lXY5Q @stuck rapids

Aw man thumbnail spoiled it

Indonesia maths is so good

[young marten]

Singapore nice place

[little widget]

Differential equation to find ships

[stuck rapids]

Welcome to asean

[rancid schooner]

one of your fellow countrymen appeared in #as-math-s1

[stuck rapids]

also yours

[vestal swift]

Phak yu lmaoo

[rancid schooner]

go say hi

[stuck rapids]

🤪 u should say hi to him/her too

[rancid schooner]

i answered some maths questions

[stuck rapids]

🦾

[tawdry gull]

🤨

Show that $\sum_{n=1}^{\infty} \frac{H_n}{n(n+1)^2} = \zeta(2)-\zeta(3)$,
where $H_n$ is the n-th harmonic number

[round siren]

The πerrot

[little widget]

Sorry i saw a zeta im leaving

[tawdry gull]

shoo

[rancid schooner]

πerrot strikes back with a vengeance

[rancid schooner]

but you have zeta in your name

[little widget]

Do i

[tawdry gull]

$\Zeta \zeta$

bruh

[rancid schooner]

$\eta\alpha\upsilon\zeta$

[round siren]

AlexV

[vestal swift]

I'm too stupid for this channel :(

[rancid schooner]

who's the one asking questions about epsilon-delta? :)

[vestal swift]

The proving is hard

😔 😔

[vestal swift]

Asking coz idk ;)

[rancid schooner]

ask πerrot for study session

[verbal nova]

@tawdry gull whats the game you post on your insta

[tawdry gull]

graphwar

free on steam

or tbh no need steam

[vestal swift]

Drop insta!

I go follow

Hahaha

[tawdry gull]

http://www.graphwar.com/

[verbal nova]

Ahh I see thanks

[idle rain]

Gave +1 rep to The_Pierrot#7889

[rancid schooner]

what's dQ's insta?

[vestal swift]

Secret

:D

[rancid schooner]

must be an early user to get that username

[tawdry gull]

mine?

[rancid schooner]

dQ. she said her insta name is Secret.

[vestal swift]

AlexV got insta? :)