Room for Buraian and Albus Dumbledore

Buraian

16:46

@AlbusDumbledore Kottayam, and then I moved to live in chagnacherry till fifth grade ^^

after which I moved to kuwait

Albus Dumbledore

oh ok me thrissur

@Buraian are you 12 th pass out

Buraian

Yeah I passed my 12th last year, need to write the JEE lol

I already knwo I am screwed for it 🤣

@AlbusDumbledore

And you're in 12th I persume?

Albus Dumbledore

so you are going to write JEE, very nice, you are pretty good in maths as i have seen your posts

Buraian

Ah yes the problem is that there is chem and physics coming as well xD

Albus Dumbledore

same with me, chemistry i am very bad

Buraian

16:58

Haha yeah, Inorganic for me particularly

I also don't go to any coachings :P

Albus Dumbledore

neither do I

Buraian

Maybe after JEE or so, you should check out this youtube playlist:

https://www.youtube.com/channel/UC5N5pRddyicAX1QJyJjIIdg

It's a multivariable/ vector calculus playlist, in chapter-2 they cover the fabled lagrange multipliers

Albus Dumbledore

Thanks i wanted to learn lagrange multipier for a long time

Buraian

felt like a lot of your questions could be solved much easier with that, and also felt like you were partly being bullied by people using that method in their answers LOL

Albus Dumbledore

yep! inequalities lose thir lustre with lagrange multiplier

I guess you saw the $abcd+3\ge a+b+c+d$

Buraian

17:03

Yeah there was another one too

I remember viewing on AOPS account one day and one guy was like "Inequality is most beautiful something" in his bio or something and I was like lmfao wait till you meet lagrange multipleirs

Albus Dumbledore

is it 'sqing'?

Buraian

Oh yeah

Albus Dumbledore

user: sqing

Buraian

yeah that's him

oh wait

thats from the post you sent

Lol

Albus Dumbledore

17:19

Anyway some inequalities cannot be proved by lagrange mult.. so

Buraian

Hmm fair I guess

but I am becoming of opinion that there exists algorithim approaches for every simple problem

Albus Dumbledore

alos most contests do not accept that method

Buraian

Have you heard of Reisch algorithim? Basically there was an algorithim to figure out the indefinite integrals of any problem (if it exists ofc)

Albus Dumbledore

Nope, i do not like integration, My interests are inequalities ,and polynomials

Buraian

O

you should check out generating funcitons

basically polynomial multiplciation has direct correspondance with combinatronics

and if you like polynomials you may like this article I wrote about taylor series (shameless self promotion)

Albus Dumbledore

17:24

@Buraian hmm, i will do that after jee adv, now focus..:)

Buraian

brianbabu890.medium.com/…

Ah the shackles of JEE

well yes you're completely right that we should focus on JEE

Albus Dumbledore

do you want a nice problem? from integration ?

its easy....but not super easy

Buraian

Sure

go for it

hopefully I don't get killed 😂

Albus Dumbledore

ok show that $\int_0^1 \frac{x}{1+x^8}>pi/8$

Buraian

Ok I think I have seen this on your account before LOl

you have to use like a cauchy schwarz for integrals?

Albus Dumbledore

17:36

I have done a similar problem in my account this is different it is very weak but there is a very easy way:)

Buraian

kay give me a bit

Ok is it factoring out x to eight from denom'

Nvm

Albus Dumbledore

not really! it was asked in KVPY 2019 here is a hint think about getting tan^-1 x

Buraian

lol I just went with the thing you did in the other post

hopefully I wrote the inequality right

now let me see what I get when I evaluate

so something like 9/40

Albus Dumbledore

Your cauchy schwarz is wrong LHS should have \int_0^1 sqrt{x}dx

Buraian

why the square root?

I'm trying to replicate this one basically:

https://math.stackexchange.com/a/3945252/688539

Albus Dumbledore

17:46

well agreed there in numerator there was no x in C_S we have \int a^2 \int b^2\ge \int ab

so here the sqrt{x} term comes

Buraian

Oh oof

Albus Dumbledore

no need of C-S , use $x^2=t$ and use t^4\le t^2 can you finish it off?

Buraian

let me see

ah nice

Albus Dumbledore

inequalities helps here we cannot use labgrange mulytiplier here can we ?????!

A tougher question came in JEE ADv 2020 like this

Buraian

ah yes yes lesson learned

Albus Dumbledore

17:52

Bye got to go to bed see you again ,let me know how you did in jee mains

Buraian

Oh god I swear I'm gonna do horrible 🤣, I'm only writing after the third attempt due to being able to fly but if my rank isn't tooo horrible then I'll say it :P

goodnight

Albus Dumbledore

Dont say like that ! be confident , (although i am not:))

Buraian

Brah, Imma be honest, Im having memory loss on inorganic, and have to start solving a lot more on JEE and like there are large chunks of physics portion to do , like almost no chance that I'll get anything good maybe max I get is an NIT if god gives luck LOL

though actually I'd rather have wanted to do maths degree ^tm but impossible to convince parents

Albus Dumbledore

bye bye

Buraian

Nighty night

Albus Dumbledore

17:58

well what can we do just with maths become a mathematician like Micheal Rozenberg?

Buraian

Oh the inequality god

I hopefully wanted to pursue researching and teaching rather than engineering

Albus Dumbledore

me too shoot for IIsC then KVPY ?

Buraian

you mean the science college?

KVPY...

I thought you coculd only write that in 11th and 12th :thinking:

I have my eyes on it , yes

Albus Dumbledore

good

Buraian

sqing moment

Transcript for

Room for Buraian and Albus Dumbledore