please help me in this one

[summer pelican]

#1020426321261756536

[chilly frigate]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

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4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[small bloom]

Hmm... This looks less like a convolution.

It does look similar to convolution of lognormal and beta-prime distributions, though. Hmm...

[robust dune]

Is this also a pdf times cdf like before darpy?

[robust dune]

This seems the EXACT same as last time chosing X ~ LogNorm(k,s^2) and Y~BetaPrime(a=1,b=1) we get with the same arithmetic as before using law of total probability as I=P(X>Y)

Getting stuck at the same point maybe you cant solve it better that that?

[small bloom]

Note that the convolution isn't just the integral of a product of PDFs. Look up its definition.

[summer pelican]

I got the solution of that integral from another Sever

Should I send?

[robust dune]

Yea but i tried to do it bit differently than using the convolution

[robust dune]

Yea pls

[small bloom]

Ah, darn it...

That was easy.

Substitution makes this a convolution that we discussed before.

[robust dune]

Oh my God that's so unsatisfying

Yea that solves the other question instantly too

Ugh

We definitely overcomplicated it way too much didn't even need to look at it through a probability theory lens

[small bloom]

Hm...

But this is just I(0).

k still ruins it.

[robust dune]

TELL ME ABOUT IT

We could tell that I(0) was 1/2 with the probabilistic methods too didn't need to compute the integral in that case

[robust dune]

Maybe use the standard normal substitution? But I feel like that will change the second distribution into the general case 🥴

I think P(X>Y) is the best you can do there for the general case unless you reapply lotp and try to solve it in the form of a double integral

I'm gonna post this on stackexchange cuz I'm really flummoxed

[robust dune]

here

@dark jewel

These guys need your help

In this integral

[dark jewel]

[small bloom]

Yeah, that would be nice!
We did notice that it reduces to a convolution, but we don't know how to interpret it for nonzero k.

[robust dune]

So , yeah , i heard you are calc god so i linked you here

[dark jewel]

I wanna go home

[robust dune]

• dappy suggested you

[dark jewel]

[robust dune]

You cant until you solve

[dark jewel]

WAHHHHHHHHHH

[robust dune]

Its cdf of X+Y right darpy?

@dark jewel cmon your badge has triple integration

You can do this triviality

[dark jewel]

fr

[robust dune]

I also wanna see your magic

I put it on stackexchange cuz im convinced apex will fail

That i heard so much of

[robust dune]

Nope

Just watch

[dark jewel]

good plan, means I don't even have to try

[robust dune]

You must learn to handle alex

I was negging you

Dont give him any chance of slipping away

[dark jewel]

yeah, ain't working fella

[robust dune]

You talking abt brodie like hes an animal lol

[dark jewel]

I am

🤒

ill

I'm ill

[robust dune]

Built different (worse)

[robust dune]

Hes a calc lion

[robust dune]

Oh shit fr?

Take care dude

[dark jewel]

my left nostril is blocked

[robust dune]

Get well soon

[dark jewel]

means I can't do maths

[robust dune]

No

You can

[dark jewel]

if I do maths then I become a mouthbreather

then it's over

[robust dune]

Right nostril still open

Remember ?

Checkmated

Your lower jaw suddenly violently recesses back

[dark jewel]

unfortunately no checkmate

[dark jewel]

chin just falls off

[robust dune]

Like that american dude from the 1900's who drank radium water

[dark jewel]

fr!!!

or all the people who worked on watch dials

[robust dune]

This is why my $2 timex indiglo is superior

[dark jewel]

me before maths

[robust dune]

@robust dune inherently as long as i know alex , he will most prolly try this question till the end , he wont miss this chance to flex infront of best math people this server has to provide.

[dark jewel]

me after maths

[dark jewel]

yeah, I won't miss it

[robust dune]

Knew it

[dark jewel]

I'll probably post just the answer with no workings at 4:34am today

[robust dune]

If youre putting me in that generalization then its a pretty sad scene

[dark jewel]

I'm literally cleo

[robust dune]

cleo is such an og

Completely useless dog tho

[robust dune]

You are one of the best problem solvers of this server dude

Huh??

[dark jewel]

can't problem solve himself some bitches tho

[robust dune]

Ong

Actually why am I agreeing thats just false

[dark jewel]

cry about it

[robust dune]

I'm not

[dark jewel]

I can hear you

you are

[robust dune]

Darpy was typing and your autism scared him away

Alex is just an unawakened prodigy , he just does calc all dau

[dark jewel]

no

that's what I used to do

unawakened???

[robust dune]

Atleast first part is true

[dark jewel]

acting like I'm stupid

[robust dune]

Have you reached imo yet ?

Until then its unawakened

[dark jewel]

😏

[robust dune]

Bruh I thought you finished ur MS or something what are you a squidget like the rest

[dark jewel]

I am yes

[robust dune]

All the active people on this server are basiclly teenagers

[dark jewel]

all of the above

[robust dune]

15-17

Ffs

[dark jewel]

yeah pretty much

I'm definitely a teenager

[robust dune]

Zfn , magma , alex , dappy , everyone is just 15-17

[dark jewel]

just like Boris is definitely prehistoric

[robust dune]

I'm just gonna delete my account atp

I cant hang around you babies

Stockfish is older

[dark jewel]

out of all the named people I am the only non teen

[robust dune]

@robust dune stockfish is like you

[robust dune]

25% error is acceptable

[robust dune]

Cuz youre 5+7 lmao

[dark jewel]

yeah fr

[robust dune]

Embryo ass mf

[dark jewel]

I'm 12 and did what you couldn't (the line integral)

cope

seethe

rage

[robust dune]

I literally summoned you as my underling

@robust dune did you try reimann summations ?

Ofc I can solve a basic line integral

[robust dune]

Huh?

[robust dune]

Change the integral into a reimann sum

Oh this question

And maybe it becomes some kind of a calculatove series

Yeah

Yea i dont see that working at all its way too complex the probablistic approach seems the best I feel

[dark jewel]

nah

[robust dune]

I see

Lets see what we get on stackexchange

[robust dune]

Ok granddad

[dark jewel]

I'm far too lazy for this bs

[robust dune]

Same thats why I put it on stack

[dark jewel]

maybe I'll give it a shot later

[robust dune]

I didnt even ping u cuz ik if you pinged me i wouldnt bother checking it

[robust dune]

Sure

[robust dune]

Aight bet see the other similar question me and darpy both lined out what we did there

[robust dune]

He never does imo

[dark jewel]

I don't ping anyone

[robust dune]

i go now

[dark jewel]

only the original poster

[robust dune]

bye

Why is there so much apex lore

[dark jewel]

fr

what the fuck is s

and why isn't I a function of k and s

I'm not reading the previous chat logs

spoon-feed me info

[robust dune]

Wait ill ping you come to the other one this is an ugly mess

[small bloom]

Students when they see a Laplace transform for the first time:

[dark jewel]

👴

I(k,s)

[dark jewel]

I am a strong hater of Laplace

I got somewhere with standard methods @robust dune

'standard methods'

but I'm gonna publish on it rather than post here

[summer pelican]

why?

[dark jewel]

it's interesting

i also haven't really gotten anywhere terribly useful

[robust dune]

@dark jewel where did you publish it ?

[dark jewel]

nowhere currently

[robust dune]

Stack ?

Where do you plan to publish it

[dark jewel]

idk, I'm not sure if I even will get enough together to publish

I haven't got much yet

[robust dune]

i see

[robust dune]

Where brodie

Put it on here no

Thanks for looking into it tho it's driving me mad

[dark jewel]

I can't publish on this 😦

then you could find my full name ezpz

hard knock life

[robust dune]

Bro nobody cares what's anyone gonna do with your name

[dark jewel]

magma will ruin my life

[lunar leaf]

😄 hi there

[robust dune]

Ong none of us are gonna do anything worth publishing till our phd thesis pipe down hombre

[dark jewel]

see, he's always watching

[robust dune]

Unless you can generalize it for int of pdf cdf over the same support maybe then it's publish-able

[robust dune]

[lunar leaf]

[robust dune]

Idk if it works , havent even touched paper till now but boris says it doesnt work

[lunar leaf]

It would not help

[robust dune]

Yup

[dark jewel]

🥱

anyways I was bluffing, I've done nothing except establish a recursion

[robust dune]

Kekw , stockfish is the only hope i guess

But hes too busy

[lunar leaf]

nah bro the real solution is to guess by evaluating numerical and looking at the chart

[robust dune]

Soooo

[dark jewel]

fr

[robust dune]

is anyone left ?

[robust dune]

https://tenor.com/view/sherk-donkey-cut-me-deep-sad-cut-gif-13288815

On this server

?

Alex , dappy , magma , boris

Darpinger

[lunar leaf]

Krypton this integral is not that easy to be frank

[robust dune]

Maybe swindle but hes afk

[lunar leaf]

Recursion is not that bad of an idea

[robust dune]

I'm convinced me and darpy have done the best that can be done

[lunar leaf]

Depending on how nice the recursion is

[lunar leaf]

What did ya’ll do?

[robust dune]

Yup , i saw that , i couldnt believe my eyes when no one solved it , thus i have already have a legandary status for this question

[lunar leaf]

If it involves a PDF or convolutions I ain’t doing shit

[robust dune]

He showed it's in the form of a convolution

[lunar leaf]

ah

[robust dune]

And i showed it simplified down to P(X>Y)

Where x sim normal and y sim standard logistic

[lunar leaf]

Oh yeah I guess if you build a recursion off that you might be able to get a closed-form

but this seems horrid

[robust dune]

Better than nothing still

[dark jewel]

Not only am I not going to be sharing my work, I'm not even going to continue working on it!!

[robust dune]

Thats a bad move

[lunar leaf]

That is great!! I’m not even going to start working on it!!

[dark jewel]

we're in the same spot

my handwriting is illegible anyway

[robust dune]

Well

Just tell me what the question is abt and maybe i can help

[dark jewel]

solving an integral for the general form in terms of k

and s

[robust dune]

what is k and s

I only know reimann integration and that too poorly , so i might not be of any help

Nvm

K is the mean s is the stdev

arithmetic mean ?

[robust dune]

https://tenor.com/view/chad-gigachad-jinup-jinup-chad-gif-23896242

leave it its not possible by me by a long shot

Krypton what are you saying

[small bloom]

Well, expected value.
Basically, this is a convolution of N(k, s^2) and Logistic(0, 1).

[robust dune]

Idk whats convolution logistiv and N , so leave it , i am a junkie highschooler anyways

For now let's wait and see if stackexchange responds

[robust dune]

Yeah , idk this stuff

Current understanding is that it's not solvable beyond that p(x>y)term

[lunar leaf]

This is me after hearing that information

[robust dune]

Geniuses at play here

[lunar leaf]

Is this one of your designed memes

[small bloom]

Nah, I googled this one.

I quit after designing one meme. It isn't for me, too quick.