serious-discussion

[deep mango]

the background color

[dense belfry]

But also I want to hear more about my parasocial relationships

[deep mango]

i havent made a private server yet for nitro emotes

maybe this is the time

[dense belfry]

Anyway I realized something really cool today

[next schooner]

why is SMALLER SULLY

i can't believe i nom'd you I have made a grievous mistake

[coarse grotto]

What did you realize Emma?

[dense belfry]

So there are Computable boolean algebras with Computably enumerable filters so that the quotient is not Computable (in the quotient you say a = b iff (a \iff b) is in the filter, and sometimes you can't decide if a \iff b is in the filter or not, so you don't know if a=b in the quotient or not

So this problem goes away if you move from classical logic to intuitionistic logic

Because then in the quotient a=b iff there is a constructive proof that (a \iff b) is in the filter

(when I write \iff I mean the formal iff in propositional logic)

So actually the quotient does exist, it's just not a boolean algebra

It's a heyting algebra

And as you increase the power of your programs

The heyting algebra will quotient into the actual quotient boolean algebra

So you have for each Turing degree a heyting algebra and you have surjective maps $H_\alpha \to H_\beta$ (where these denote the heyting algebras realized with respect to Turing degrees $\alpha\leq_T \beta$)

[fathom swallow]

Emma

[dense belfry]

Lol

[swift sinew]

I mean there’s also this but I was kinda waiting for the server to be ready for it

[next schooner]

what have you done

[coarse grotto]

I guess in informal terms what you’re saying is in the “limit” as you increase the power of your programs (as unsure as I am in what this means), the Heyting Algebra (which are pseudo-Boolean algebras? Does this mean that they’re missing an axiom to being a Boolean algebra or something) quotients to the Boolean algebra

I may be misunderstanding this completely

[dense belfry]

Yes so that's it

When I say increase the power of your programs I mean allow yourself access to a more powerful oracle

So your programs can do more things

Heyting algebras are basically boolean algebras without excluded middle

They are also called pseudo boolean algebras

But yeah its nice to realize that things which aren't Computable don't just disappear in the effective topos (which is the setting I'm considering)

[inner finch]

smaller sully is really smexy

[fervent pebble]

my fucking eyes

holy shit

[craggy nacelle]

yep

[fervent pebble]

that was absolutely disgusting

imagine being that fucking sad of a person

at that point i would go to a hospital tbh

or at least like a psychologist

[craggy nacelle]

yeah, it is pretty sad. Imagine that constituting as "fun" for you
like, play modded minecraft like everyone else if you want to have fun, smh

[fervent pebble]

facts

[torn willow]

Ok I am glad I missed that based on your convo

[fervent pebble]

i wouldn't've pinged mods ten times otherwise

[craggy nacelle]

Discord's block feature is underrated for these raids 👍
I missed like 30% of the images being sent thanks to it

[fervent pebble]

holy shit i'm actually scarred

holy shit

[craggy nacelle]

I feel you
Do you know about the reimann-zeta function?

[fervent pebble]

i might actually puke

[craggy nacelle]

https://www.youtube.com/watch?v=zlm1aajH6gY
This video is really interesting

It talks about it
(I actually understand what the zeta function is now, thanks to it [albeit, a layman's understanding of it])

You might find the video helpful in taking your mind off of recent events

[fervent pebble]

does anyone know how to turn discord so that it scans messages in servers?

[fervent pebble]

i've already seen it :/

[craggy nacelle]

Try not to think about it, doing so will reinforce it

[fervent pebble]

im prolly just gonna go play val or mc

[craggy nacelle]

Ah, how about a video of some dude getting to wave 10,000 in COD: zombies?

(World at war)

[fervent pebble]

ooh yes pls

[craggy nacelle]

https://www.youtube.com/watch?v=7b8uBKSVT6Q

This is really well made

Hope you enjoy

(Although, if it's boring, you can totally do something else like play valorant, it's entirely up to you)

[fervent pebble]

ill watch it first then play val

probably not gonna get sleep after that anyways

[craggy nacelle]

fair
hope you feel better soon

[viscid hill]

@fervent pebble
But to answer your question how addition of reals is defined
Landau defines it like this
Truthfully, I'd probably understand it better if I read all the material up to that point
but you could probably read Landau's book for yourself if you wanted
||it's pretty easy to pirate math textbooks imo||

[clever knot]

What feature is that? I have the one that scans messages but pretty sure that is only for dms

And don't think it works for videos

[craggy nacelle]

Oh, I'm sorry, it's not a feature per se, I just block users that are a part of a raid so that I don't see any more of the images that they're posting
I had to block a couple of the accounts that were a part of the raid, so I still saw a couple of the images/videos unfortunately.

It would be cool to see if someone could implement a discord addon or something that would let them activate a "panic" system that temporarily blocks all the users posting in a channel, so that there's no chance of seeing something nasty

[clever knot]

Well I suppose that is what mods, slow mode, and spam detection is for. Too bad it doesn't help when a you have multiple accounts doing it.

[charred mortar]

yeah

maybe if there was a way to detect if a big batch of images were being sent over

even if by multiple accounts

[velvet dagger]

That's also what our snipers are for. That particular group won't be a problem for us again 🙂

[midnight iron]

would two independent events associated with the same experiment be mutually exclusive?

i.e. is the phrase "mutually exclusive" synonymous to "independent"

[neat lintel]

Yes I guess, but not always
Example, take the probability of getting an odd numbered card and the probability of getting an even numbered card from a set of cards labelled 1 to 10

They're mutually exclusive
(Consider event A and event B as two different sets of odd numbered and even numbered cards respectively)
A intersection B = nothing

But they're from the same experiment

[midnight iron]

I'll take it

thanks

[neat lintel]

Wlcm

[midnight iron]

oh! i got something interesting

consider two independent events E and F associated with the same experiment

this means that E and F' (not F) are also independent

but if E and F were mutually exclusive to start with, E and F' aren't

even though they are independent

[neat lintel]

Hmmm

Interesting

Consider a die roll

Let event A be set of all odd outcomes
B be set of all multiple of 3 outcomes

A and B are independent since
P(A intersection B) = P(A).P(B), which is true.
B' = {1,2,4,5}
P(B') = 2/3
A intersection B' = {1,5}
P(A intersection B') = P(A).P(B') = 1/2 . 2/3 = 1/3

Seems true

[ripe wasp]

what do you guys think of chong and meng's Principles and Techniques in Combinatorics?

i'm being forced by my parents to take the amc this year, and i really don't to spend a lot of time grinding boring comp math problems

so i thought i should read something like this because it should be good knowledge to have just for math in general right?

i'm thinking i can pretty leisurely read this during the summer for fun and to train me for amc10 to take a break from grinding out dummit and foote at times

is this enough to get me through with a decent score on the amc or do i need more contest focused prep?

(i really hate competition math btw, i'm hoping this might make it just a little bit more fun)

[heady estuary]

Folks, is there any discord server that deals with stocks and finances at the industry level and not as an academic discipline?

[sick burrow]

Discord doesn't seem like the best place to look for that

Any server we'd know about here would most likely be shit

[nocturne skiff]

Lol

[neat lintel]

How do I stay motivated throughout my studies?

[fair mural]

you literally just said no food = no food

bruh

[swift sinew]

No he said no Food=no food

bruh

[neat frost]

The nos cancel out

[neat lintel]

Food = food

F(x) = f(x)

[zenith tinsel]

$F(x) = \int f(x) dx$

[fathom swallow]

texaspb

[zenith tinsel]

$F'(x) = f(x)$

[fathom swallow]

texaspb

[fair mural]

i like pauls more personally

[languid atlas]

"Consider the first n elements of the sequence 0, 1, 3, 6, 10, ..., but modulo n.
For which n do these first n elements of the series depict every possible remainder from 0 to n-1?"

...or something like that. After running a few programs, it seems to work with any n = 2^c for every non-negative integer c, but I dunno why and if that's all

[neat frost]

Bye @deep mango

[deep mango]

Bye what

Very cryptic

@neat frost ??

[next schooner]

rip slurp

[proud olive]

@neat frost ?????

[cyan goblet]

bye @deep mango

[deep mango]

WTF

Red pandas dropping like flies

[cyan goblet]

that is so mean

[deep mango]

[naive bolt]

graph theory question: theres a walk, path, circuits etc but is there a term for some sequence where the next edge doesn't connect with the current vertex? i.e there's a jump in the travel

[potent raft]

Graph theory sucks

[echo fox]

what's this

is it a function

[surreal sapphire]

its a capital gamma

[echo fox]

thanks

[dire mulch]

$\Gamma(x)$

[fathom swallow]

Plegasus

[echo fox]

Γ

[swift sinew]

I miss you swurp

[dire mulch]

Slurp leaving discord.

[proud olive]

Upsidedown L

[ancient flame]

is he really?

@neat frost

???

[proud olive]

@neat frost

This isn't funny

[deep mango]

Why did that nutso say bye to me of all people??

[untold sage]

Nutso funny is it

[ancient flame]

don't talk to my slurpy like that

[swift sinew]

giannis_moneyforhonorable

[cold needle]

deez nuts joke incoming

doze balls, etc.

[deep mango]

We all know you wanted to make it yourself.

[ancient flame]

That's not appropriate for this server.

Please read the rules next time: #rules

[cold needle]

😵‍💫 yeah i wanted to but 😵‍💫

[deep mango]

[cold needle]

i just had this pb+j sandwich

it was very creamy

the pb keeps leaking out

[ancient flame]

wtf

[cold needle]

i just want to have a pbj bread packet

[deep mango]

you are really asking for it rn

[ancient flame]

it should not be that runny

[cyan goblet]

ya like deez nuts

[cold needle]

What

[cyan goblet]

oh wait i responded to the wrong one

[deep mango]

are you an uncrustables fan

[ancient flame]

LOL

[cyan goblet]

pb is not leaking out my nuts

[cold needle]

uncrustables are fun but i am okay with crust

i also want to have something i can make myself

[cyan goblet]

i like uncrustables

very nostalgic

[deep mango]

we used to have uncrustables in the berkeley undergrad math office

[cold needle]

WHAT

[cyan goblet]

LOL

[ancient flame]

wow great accomplishment, making a fucking sandwich

@cold needle horny teen

[cold needle]

no i just dont want to have to buy uncrustables

id rather buy bread pb and j

[deep mango]

anyway the pocket pbj is reasonable to me

but

[cold needle]

i just dont want stuff to leak out like it always does

[ancient flame]

metal worse than me

[deep mango]

idk if i can get past the fact that there's a whole boundary layer with no pb or j!

[cold needle]

like a pbj ravioli

just add more pb j to resolve it

i should feel like im eating gravel when im eating a pbj sandwich

[cyan goblet]

ik a kid in middle school who brought a bag of spaghetti and meatballs in his pocket to make a statement about mens vs womens pants pockets

[cold needle]

like wet gravel

[deep mango]

wtf

are you using chunky??

[cold needle]

it needs to be Chock full with pb

[cyan goblet]

i like chunky pb

[cold needle]

naw not chunky

[ancient flame]

I like it big

[cold needle]

ig more like sand

[dire mulch]

I almost died once while eating peanut butter sandwich.

[cyan goblet]

i love chunky pb

[ancient flame]

I pike it chunky

[cold needle]

wet sand

[deep mango]

it's not sand!

[ancient flame]

I fucked a monkey

[dire mulch]

I did not have water near by.

[deep mango]

That is not appropriate for this server.

Please read the rules next time: #rules

[ancient flame]

fuck you

and your dog too

[azure nymph]

Just make them

[cyan goblet]

speaking of wet sand

i’ve decided that i actually don’t really like gelato

[cold needle]

yeah but how do i make pb j raviolis at home thats what im asking

[cyan goblet]

the texture is just

grainy

idk

[deep mango]

Wtf

[cyan goblet]

it makes my throat feel dry

[azure nymph]

bread mason jars hot oil

[ancient flame]

ppap

[cyan goblet]

its like edible kinetic sand

[deep mango]

wat

[ancient flame]

🖊️ 🍍 🍎 🖊️

[cyan goblet]

maybe i just didn’t have good gelato

but idk it was just so grainy

[cold needle]

where does the hot oil come in; i assume u press down on the sandwich to make a ravioli

[cyan goblet]

like if tv static had a texture

[deep mango]

it's cold though

[cyan goblet]

that’s what it would be like

[deep mango]

so weird

[cyan goblet]

ok edible refrigerated kinetic sand

[azure nymph]

To help better seal the edges I assume light frying would help seal the ends better

[cold needle]

hm hm i see

[deep mango]

i agree that tv static is texturally similar to wet sand from a culinary perspective

[cyan goblet]

personally i would just form the crust using edible tape

[deep mango]

i'm not seeing how to close the loop here with gelato

[cyan goblet]

idk maybe it just wasn’t good gelato

like i remember one time in the past i ate a pint of what i think was gelato in one sitting

[deep mango]

i guess the only gelato ive had was super good gelato in europe

[cyan goblet]

and it wasnt grainy

[fervent pebble]

what about to me

??

slurp??

what's with the blatant favoritism here

[deep mango]

this is how you know slurp was being insincere

[fervent pebble]

^^

[deep mango]

they said bye to the person they hate most

[fervent pebble]

i deserve all the good things in the world

esp after what happened yesterday

[swift sinew]

It could’ve been spiteful

[cyan goblet]

time for my favorite part of working out

the cold shower

[deep mango]

i think slurp is going on some kind of school trip at some point, so that might have just started today

idk

[cyan goblet]

i wanna go on a field trip

[deep mango]

i do too

[cyan goblet]

i havent done one since middle school

[deep mango]

oh wait

im going on one to fucking hawaii

[cyan goblet]

fuck you dickwad

[swift sinew]

fucking hawaii

[fervent pebble]

hawaii?

ryc

i hear they have pigeon-eating spiders there

[deep mango]

i hope so!

[fervent pebble]

i would be scared if i were you

[ancient flame]

can u take me ryc

[deep mango]

no

[ancient flame]

fuck

[deep mango]

i like spiders

[ancient flame]

but

[cyan goblet]

good thing hes not a pidgeon

hes a bitch

[ancient flame]

im your favorite

[deep mango]

now that slurp's gone? I guess so

[cyan goblet]

you know what ricey

[ancient flame]

oh

[cyan goblet]

i dont even WANT you to explain wht C* algebras are to me

yeah

devastating

yeah

[ancient flame]

but like

[deep mango]

i just said that to make anamono jealous

[ancient flame]

he's not gone

[deep mango]

dont think too hard about it

[ancient flame]

oh

[deep mango]

i don't have a favorite

[fervent pebble]

ana only gets jealous over ryc and corn

[cyan goblet]

i shouldve just gone to take my cold shower

[deep mango]

shoot now i have to

[cyan goblet]

blah blah blah i wont listen

[fervent pebble]

objectively false

[cyan goblet]

like that charlie brown thing

womp womp womp

charlie? charley?

charlotte

charlie brown and charlotte mahogany

[deep mango]

🤐

[fervent pebble]

what's the best comic series of all time

[cyan goblet]

the fuckin uhh

[fervent pebble]

note: there is one objectively correct answer

[cyan goblet]

comic strip with that tiger and thw little boy

[deep mango]

i have only read watchmen

[cyan goblet]

calvin and hobbs

[deep mango]

and that was pretty good

unless by comic series you mean like

newspaper comic

in which case calvin and hobbes

[cyan goblet]

oh if we mean like

comic book comics then uhh

the fuckin uhh

idk the only comic i read as a kid was sonic

[fervent pebble]

correct

[cyan goblet]

i had all 17 books or smth like that

[fervent pebble]

hobbes tho

but yes calvin and hobbes is the best

ever

objectively

and it's not even close

[deep mango]

idk if it's not close

i read all of peanuts several times and it's pretty good

[fervent pebble]

i have read peanuts several times too ryc

[deep mango]

but i also read all of calvin and hobbes several times

[fervent pebble]

c&h is better

by far

[deep mango]

it's clearly better

[fervent pebble]

hmm

yes

[cyan goblet]

ok im back from my shower

[fervent pebble]

that was a quick shower

[cyan goblet]

cold shower

all i do is turn on my shower and gasp for air for like 30 seconds

[fervent pebble]

weak

!

eat more corn

[deep mango]

corn sucks

[cyan goblet]

would if i had some

you suck

[fervent pebble]

o shit

ryc have you ever had fresh corn

or elotes

[deep mango]

i love corn i just wanted to see how that would go

[fervent pebble]

okay just making sure

[cyan goblet]

have u ever had canned corn

[deep mango]

corn is delicious

[cyan goblet]

canned corn is so good

fresh corn too

[deep mango]

ur actually deranged

[fervent pebble]

ana

have u ever had

elotes

[deep mango]

frozen corn can be made good

[cyan goblet]

UR SO MAD LOOOOL

[deep mango]

canned corn is almost unsalvageable

[cyan goblet]

no but ive had canned sweet corn

[deep mango]

but can in very rare circumstances be good

fresh corn on the cob is delicious

elotes are god tier food

[cyan goblet]

hot take

[fervent pebble]

elotes are divine

[cyan goblet]

i like my corn on the cob without butter

[fervent pebble]

ambrosia

[cyan goblet]

i just like corn boiled and served like that

because i like the flavor of corn

[swift sinew]

i like my corn on the cob without butter

Rancid take

[fervent pebble]

ana you need to try elotes

[deep mango]

have you had grilled corn even if you haven't had elotes?

[fervent pebble]

i feel like you would faint

[cyan goblet]

if i find them in kansas i will

[cyan goblet]

i have

[fervent pebble]

make them urself

[cyan goblet]

i didnt say i dont like it with buttwr

i think theyre great with butter

[fervent pebble]

elotes are easy to make

[cyan goblet]

i think theyre greater without

[deep mango]

why'd you fucking sully huh?

[fervent pebble]

elotes dont even have butter ana

!!

[deep mango]

cotija

[swift sinew]

I wanted to fucking sully your camera but I couldn’t so I decided to take your comment with me you fool

[cyan goblet]

perhaps i will make them

[deep mango]

oh

[fervent pebble]

cheese \neq butter

[deep mango]

i was considering screencapping

ur a lucky little stinker

[deep mango]

LOL

doing your research huh

[cyan goblet]

todays the first day i think i won’t take a midday nap

because i need to fix my sleeping schedule

[swift sinew]

This rivalry is well and alive

[fervent pebble]

tbh the fact he remembered that proves ur point

[fervent pebble]

ayyyy

i pulled an allnighter last night for the same reason

also bc i couldnt sleep bc reasons lol but also to fix sched

[cyan goblet]

i’m only doing this cos someone in chill said that sleep good equal big muscle

alongside other things

[deep mango]

this was really good

[fervent pebble]

bruv why did u me

[swift sinew]

I did apologize to him in dms later

That was a bit strong

Though he did get banned like one week later

[deep mango]

It made me happier than it made him sad

[cyan goblet]

net positive or whatever

[ancient flame]

Haven't you already been muted once or twice? Why ping me with this stupid shit

I will use this

[deep mango]

Also based on your research it seems like you are aware that you should be tormenting jesse

[swift sinew]

Oh I got ammo

[deep mango]

Perfect

He deserves it

[cyan goblet]

jesse

why am i getting cat angryd

:(

[teal lion]

hey

[deep mango]

Looool

I'm taking therealjesse for sure

[teal lion]

can you change my nickname ryc?

can it be sergelangfan42069

[deep mango]

Sure

[teal lion]

whooo

can't wait

YAAAAA

YES

[deep mango]

Lol

[teal lion]

you just made my day

anyway ryc

i think i'm going to fail summer school

i can't seem to take notes

i spend 4 hours staring at a page and re-reading the passage I was to take notes on

[deep mango]

Well it's pretty early in the summer

[teal lion]

summer school is only 4 weeks

[deep mango]

I see

[teal lion]

anyway, ryc

i just want to whine vent

you know

[deep mango]

That's fine, i understand the feeling. I'm also having a lot of difficulty getting any work done right now

But I hear that it's tougher since you have a short amount of time to make it happen

[teal lion]

well, I only have three assignments I need to do: notes, essay, and a worksheet

it sounds easy

but I can't seem to do it

i literally sat there getting nothing done for four hours

[teal lion]

i just want to cry

back in september/october, I spend 8 hours on notes for one chapter of lord of the flies

and I need notes for 13 chapters

[deep mango]

Maybe there's another tactic you can try to feel like you can work more efficiently. I remember having similar issues with notetaking in my classes

[inland raft]

@cold needle will you forgive me for what i said?

[cold needle]

Sure

[inland raft]

Thanks

[cold needle]

just try to keep an open mind and everything will be fine

[cyan goblet]

ricey can i vent to u too

ok i’m gonna do it anyways

i wanna take a nap

ok that’s all

[still anvil]

Enjoy ur nap

[cyan goblet]

need to decide if i’m going to take one

[still anvil]

Are u gonna go to bed soon

[deep mango]

Awwwww

Have a nice nap

[cyan goblet]

i don’t know if i’m going to take one

[cyan goblet]

don’t talk to me like i’m a baby

i’m old as hell

[deep mango]

Sotrue

[cyan goblet]

they call me grandpa

[deep mango]

Anaboomer

[cyan goblet]

ya

gee just work over the summer to go to college

[still anvil]

How old are u 40

[cyan goblet]

about 80

[still anvil]

WW2 era cool

[cyan goblet]

I FOLD

i’m taking a 20 minute nap

not as nice as my usual 3 hour nap but it’ll have to do

[ancient flame]

cannot stress this enough to high schoolers

[wooden flax]

does this really matter though

only case where i see this being useful is saying $f: A \to B$ is correct over saying $f(a): A \to B$

[fathom swallow]

Morbictus

[cold needle]

its not the worst thing for highschoolers but like yes this is something at least undergrad students need to know for when they write things up

despite all the cringe notations and weird incorrect stuff that occasionally comes up i think there are definitely bigger things that need to change in that area of their education

[wooden flax]

in high school i think all you do with functions is operations on them (composite, inverse, derivative, integral, etc)

[cold needle]

yeah

[deep mango]

It matters a lot. Sometimes you have functions that take other functions as inputs, or produce other functions as outputs. If you dont distinguish between f and f(x) you present ambuguities here.

[wooden flax]

oh right forgot about that

[deep mango]

Sure it probably wont matter in high school but why teach something that people will have to unlearn later

This is particularly relevant even for people outside math. Higher order functions in programming come to mind

[cold needle]

thats fair

[deep mango]

In many languages, you learn to distinguish a function object from a function evaluation call

If I write a = f(x), then a is the output of the function f evaluated at x, but if I write a = f then a is itself assigned to be a function

We should make sure to unify these instead of teaching people a system in math which is inconsistent with the system they might learn in a high school cs class

[ancient flame]

of course

[ancient flame]

yeah I agree lol

another issue is people like

reserving variables for things

like only u for integral substitutions

only m for slope

[deep mango]

Go to sleep

[ancient flame]

shut up

the worst part is when people think that something like pi always means the circle constant

[deep mango]

When u see an integral which is already du

[ancient flame]

lmao

d mu

or another thong

THING*

[deep mango]

True

Wheres the mu in the integrand??

Wow this gives me such a good math meme idea

[ancient flame]

when people just pull y=f(x) out of their ass

specifically when they just randomly interchange y and f(x)

my calc teacher is so guilty of this

ah yes f'(x)=dy/dx

she never writes y'(x) or df/dx

[deep mango]

Riemann integration: int x^2 dx = x^3/3
Lebesgue integration: int x^2 dmu = x^2 mu

[ancient flame]

lmao

genius

make it now

[deep mango]

Im in bed!

[ancient flame]

f u

[deep mango]

Im going to sleep

[cyan goblet]

good night ricey

[ancient flame]

ok

[deep mango]

Have fun talking to yourself

[ancient flame]

gn!

[deep mango]

Good night

[ancient flame]

oh

it's okay

im used to it

[deep mango]

[ancient flame]

LMAO

jk

dw

[gleaming bobcat]

Just a random thought, if the game is about 10 people picking a number between 1-200 and the person closet to the rolled number between 1-200, is the winner. Is there a way to increase the likeliness of you being the closest or is it al just pure chance

[clever knot]

Wonder if picking the middle is most optimal

Because worst case you would only ever be like what 100 off in either direction

[static loom]

I suppose one approach is to minimize $f(x)=\sum_{n=1}^{200}\frac{|x-n|}{200}$

[fathom swallow]

Merosity

[torn crane]

woah I was just thinking about a problem similar to that ^

specifically minimizing $|ax+b| + |cx+d| + |ex+f|$

[fathom swallow]

griff

[static loom]

I think it ends up being the median of the set {-b/a, -d/c, -f/e}

[torn crane]

oh I should've specified, I want x to be an integer!

[static loom]

it's convex so round that and you should be good

[torn crane]

gotcha

[static loom]

nah I'm wrong that won't work

[torn crane]

it should be close probably

[static loom]

well only because I didn't think it through, I was going off a vague memory of a similar problem I had solved a long while back that's all lmao

[torn crane]

sure nb

[clever knot]

Are you discussing something different or what QuarkMark posted

[static loom]

different

[clever knot]

Okay just seen the 200 but then the other stuff didn't see at all related

[static loom]

but for QuarkMark's problem if we take this approach differentiating immediately gets $$f'(x) = \frac{1}{200} \sum_{n=1}^{200}sign(x-n)$$ which is minimized when you pick x in the middle to even out the signs (as long as x is not an integer) and since it's convex we can just round to the nearest integer in the middle otherwise

[fathom swallow]

Merosity

[static loom]

which is really the same as what you were saying earlier, picking the middle is most optimal, just a bit more justified now

if you don't like that and want to do more work you could also split the sum up into when n<x and when n>x and work out the sums manually and then differentiate them that way too

kinda requires a bit of care either way though cause we really only care about x being an integer but it's not too serious

[clever knot]

What does sign mean

Also not familiar with how a discrete sum showed up

[static loom]

well it's the derivative of |x| for x != 0

[clever knot]

I mean I can see we have a discrete amount of numbers

[static loom]

the motivation for this sum here?

[clever knot]

Yes

[static loom]

we want to pick x so that we're closest to the most numbers possible

so the distance from x to n is |x-n|, and we want to make this small on average

which is why f(x) is the average distance of x to every number from 1 to 200

I'm just suggesting this as a strategy, I don't really know if there's more information in the problem that would make a better strategy

[clever knot]

What is the f(x) function?

How would you express it

[static loom]

that's what I defined in the link

it's that sum

[clever knot]

Oh I see

[static loom]

for instance the fact that 10 people are picking a number could affect how I'd play since there are more decisions to be made like, where in the queue am I placing my number? Do I want to place earlier, later, or somewhere in the middle?

like if you go first and pick the middle number, then probably two people will place their bets right before and after your number making your guess a 1/200 shot now, ruining your hypothesis

probably going last or second to last is ideal since you don't have to worry about people scraping you out as much

like if you go last, probably best to pick the middle of the largest "hole" between two other players bets

although that's not entirely true since walls work differently

like let's say you and 2 other people are playing, first person picks 100, second person picks 50, your best bet isn't to pick 150, it's to pick 101

since that automatically guarantees you're closer to everything larger, which is basically half the numbers

[clever knot]

yeah sees knowing other people's choices matter

[static loom]

I guess a small sub problem that's kind of interesting is

if you play first with 3 people, where's the ideal place to go?

if you go in the middle at 100, the optimal choice for your opponents is to 99 and 101 meaning you're screwed lol

[clever knot]

Yeah

[static loom]

so you need to go somewhere less optimal so that it's not optimal for them to screw you over

[clever knot]

Idk I think you are just screwed if you go first

If they always sandwich you

But If you take an end I wonder how they would play

Say you go 1

They screw themselves of they want to block you

So they for sure would next want to pick 2

Because player three picks 3

[static loom]

yeah, fun problem to think about

[clever knot]

Actually you don't need to take the very end as if someone goes on your left they are worse off than you

https://math.stackexchange.com/questions/2840442/pick-the-closest-number-game

[static loom]

eh, it's a problem for fun, you really shouldn't look up answers without giving it a few days to think about it

[steel knot]

Whats the difference between various stoc calc books by shreve?

Like there is stoc calc and brownian motion

Theres also stoc calc for finance

[river totem]

I have this one

Well there are two

I'm not familiar with the former one

[steel knot]

Do you think its good book for beginners to learn stoc calc

Or would you recommend other book

Im not specifically learning it for finance btw

[river totem]

I would recommend https://books.google.com/books?id=7eSiCgAAQBAJ&source=gbs_book_similarbooks

[steel knot]

Thnx

[river totem]

Np

[next blade]

do you have some applications in mind, then (in some other field), or are you looking for a lemma theorem proof math book?

[steel knot]

Lemma theorem proof

I do have some time tho so i dont mind extensive difficult books

[next blade]

Oksendal

[steel knot]

Isnt it sde?

Does it also deal with stochastic process/calculus?

[next blade]

look at the table of contents to see if it has what you want, but yes

[steel knot]

Ok thnx

Just wanted to make sure

[desert adder]

hi

who s here done aqa

[neat lintel]

@neat lintel i thought were talking about x^x = 5.7 lol

I mean sure I'll also try that

[neat lintel]

oh no not that

Ye

i was talking about calculating W

using newtons method

I'll also do and check

import numpy as np 
def f(x): 
  return x*np.exp(x) 
def df(x): 
  return np.exp(x)*(x+1) 
def W(x): 
    F=lambda i:f(i)-x 

    ini=1 
    for n in range(50): 
      ini=ini-F(ini)/df(ini)
    return ini

,w derivative of ln(x)

[fathom swallow]

Results provided by WolframAlpha

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

Requested by Pencil#9129

[neat lintel]

Alright

[neat lintel]

Ye ur right

Also it has come to my knowledge that the radius of convergence of Lambert W series has a radius of convergence at 1/e

So

,w \sum_{n=1}^{\infty} \frac{(-n)^{n-1}}{n!} (\frac{1}{e})^n

[fathom swallow]

Results provided by WolframAlpha

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

Requested by Pencil#9129

[neat lintel]

,w \sum_{n=1}^{\infty} \frac{(-n)^{n-1}}{n!} (e)^n

[fathom swallow]

Results provided by WolframAlpha

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

Requested by Pencil#9129

[neat lintel]

Yeah

[neat lintel]

I see

[outer vector]

im mostly all for teachers getting breaks, but what the f is JUNETEENTH

that sounds like the most fake holiday to ever be faked.

[vast surge]

A celebration of the end of slavery and of black American culture. https://en.wikipedia.org/wiki/Juneteenth

[outer vector]

ohhhhhhhhhhhhhhhhhhh

jubilee day

okay

[swift sinew]

also you can just google terms

[outer vector]

yea

but i also am effectively quarentined and thirst for social interaction

[swift sinew]

lol understandable, but maybe plopping in and saying juneteenth is a fake holiday is not the way to go about it

[outer vector]

yeaaaaa it was kinda risky

scratch that

kinda dum

[vast surge]

Yeah especially given what juneteenth celebrates it can come off as kind of, uh, really not great.

[outer vector]

bieng defensive isnt making me look great imma just put the shovel down

[azure nymph]

My university now recognizes Juneteenth

[hexed hazel]

@deep mango sorry to tag you, but what undergrad courses did you take in analysis?

[deep mango]

Uhhh

A lot

There is a joke about this somewhere in the server

[hexed hazel]

lmao

[deep mango]

About how I took 34 calculus classes or something

One sec

Here is the list of analysis and geometry classes I guess

calculus classes before college:
calc A
ap calc BC
multivariable calc
ODEs

during undergrad:
PDEs
real analysis
problems and theorems in analysis
grad topology and analysis
complex analysis
intermediate ODEs and dynamics
differential geometry
grad functional analysis
grad numerical functional analysis
differential topology
fourier analysis and wavelets
grad dynamical systems
grad differentiable manifolds
topics in noncommutative euler equations
grad harmonic analysis
grad PDEs 1
grad PDEs 2
topics in water waves equation and free surface flows
topics in random perturbations of non self adjoint operators

during grad school:
advanced PDEs
probability
ergodic theory
topics in enhanced dissipation
stochastic processes
elastic mechanics
riemannian geometry
topics in dispersive PDE
topics in almost periodic functions

Maybe theres other stuff in there

Anyway the undergrad stuff is in the middle

[hexed hazel]

Holy shit

You mustve went into a nice program

[deep mango]

But I basically only did analysis/geometry and one algebra class, and one computability theory class

I was at Berkeley

[hexed hazel]

Ah okay

Makes sense

My professor talked about berkeley before

Smart ass mfs

I took an intro to real analysis and thats pretty much is basically

[deep mango]

But here the main things are real analysis, complex analysis, fourier analysis, measure theory, functional analysis, and PDEs.

[hexed hazel]

Ah okay

I still got time to learn stuff ig

[deep mango]

Sorry, I dont want to be intimidating. Most people arent doing more than undergrad real analysis and maybe some electives beyond that in undergrad.

Yeah

[hexed hazel]

Yeah considering youre going to bigger universities

Thats impressive tho

[deep mango]

Well people here like to tease me about how little abstract algebra I know

[hexed hazel]

Haha

[deep mango]

So it's a tradeoff

[hexed hazel]

Algebra doesnt interest me too much honestly, but im not terrible at jt

[deep mango]

I also only started learning about probability this year in grad school

[hexed hazel]

Basic probability?

I did a lil bit of probabiluty

[deep mango]

Yeah

[sage canopy]

RYC, are you a PhD student?

[viscid pecan]

Yey I don’t feel bad that I barely actually understand probability too 🤣

[sage canopy]

(if you dont mind me asking)

[azure nymph]

Can confirm my school recommends like analysis 2 and algebra 2 for two of your electives the department just says take what you like and what's required of course like ODE, probability, etc..

[viscid pecan]

I got a little past borel fields and indicator functions

In terms of rigorous exposure to probability

[deep mango]

Yes, I just finished my first year

[hexed hazel]

I like probability, but i havent gotten that rigorous with it het

yet*

[viscid pecan]

It’s important if you want to do molecular stuff like I do

[deep mango]

(its in the US, so I dont have a masters and the program is 5 years - ill have a masters by the end of next year, but my program is a phd program)

[azure nymph]

I'm trying to figure out if I want to do a masters first, idk money is the big concern tbh and I don't know many fully funded masters

[deep mango]

Yeah I just ignored taking both of those haha. I went right to graduate analysis classes and didnt bother with more algebra besides analysis/geometry related stuff

[viscid pecan]

5 years is considered fast track if you can manage to finish in 5 years lol

[deep mango]

I would generally advise against unfunded masters programs for math in the US

[viscid pecan]

My biomed PhD colleague that graduated from Hopkins took 8 years

[hexed hazel]

Im worried about funding more than anything

[azure nymph]

My school offers a fully funded masters but I would probably like to go somewhere more prestigious if I did a masters

[hexed hazel]

Idk how youd be able to get funding past year 4

[azure nymph]

With more courses that interest me to explore as well

[hexed hazel]

Or 5

[deep mango]

Some schools have it set up that you can get funding for another year or two if needed

[hexed hazel]

Ah okay

[deep mango]

Remember that you're teaching for them. You're not freeloading

[hexed hazel]

True that

[deep mango]

Also sometimes your advisors will have a grant that they can pull from.

[viscid pecan]

You probably have to try to get into a good PhD program if you can’t get funded masters. I think the reality is you get a masters as PhD insurance most of the time no?

[hexed hazel]

It depends on my advisor too om sure

[azure nymph]

I'm considering this for real analysis and maybe saving my 5th elective for a directed study course with my advisor

[hexed hazel]

Yeah most of the time you get one en route

[viscid pecan]

Even then PhD insurance only happens cuz sometimes people won’t be able to get enough funding to complete the full PhD and shit happens?

That’s rough tho, you only can get one to two years of additional funding most of the time if you don’t complete the requirements of the program as expected? Oof

I think it pays to really take your time to prepare

[surreal sapphire]

i know some phd students who had to switch to part time

and did tutoring while they finished

[viscid pecan]

How can you do that tho? That’s counterintuitive if they decide to cut your funding

For reasons you have no control over

Hypothetically speaking*

[hexed hazel]

Yeah the advice ive heard is to get into reading publications

Or like really know what you wanna do

But ive never done research so

Itll definitely be a challenge

[viscid pecan]

You’d have to commit to full time program to guarantee a chance in getting the PhD in first place and you gotta make the effort work out at the best of your abilities and cut your losses if shit hits the fan cuz things were out of your control because of silly bureaucratic policies

[surreal sapphire]

you just do it

if you dont have funding there is no other way

unless you are rich or get loans

[viscid pecan]

Wdym?

[surreal sapphire]

if you run out of funding and arent done you either leave without finishing or work something else while you do finish

[hexed hazel]

Yeah worst case scenario i just walk out with a masters right haha

[viscid pecan]

You have an example of what you mean here tho? What’s like a practical example of this circumstance

[surreal sapphire]

government funding here is limited to 5 years

[viscid pecan]

You can only walk out with a masters IF you finish your course requirements AFAIK

[hexed hazel]

Oh okay

[surreal sapphire]

you cannot legally get funding for any day longer

also i am talking europe, every phd student has a masters when starting and there are no course requirements

[viscid pecan]

You don’t get a masters because of how long you sit in the program. Of course it doesn’t work like that.

Huh? Wdym

Oh your talking about Europe

[surreal sapphire]

so the worst case is you wasted 5 years

[viscid pecan]

Oh so they never admit students without a masters even if they outcompete candidates that have a masters and let’s say they are not European?

I’m coming up with gnarly hypotheticals here of course

[surreal sapphire]

you just do a masters before you enter a phd, its a hard requirement

[viscid pecan]

Also i rather study abroad in Europe than here in America

[surreal sapphire]

i dont think american students are admitted really

unless they do a masters first

but i dont know how its handled

its generally not recommended to move for a phd in either direction

[hexed hazel]

america kinda sucks lmao

[surreal sapphire]

like, i would have to do quals and repeat coursework if i were to move to the US for a phd

at least most likely

[viscid pecan]

It just shows you how credible schools are in comparison in America or Europe wants to set that bar. But I know in the history books there are stories of gifted students being accepted with barely any credentials to their name to European schools of the highest caliber. Then again I’m just breaking out hypotheticals here. I don’t expect to go back to school rather than just pick peoples brains apart here.

[viscid pecan]

That makes no sense lmao

[surreal sapphire]

the bureaucracy just isnt set up to be compatible

[viscid pecan]

But do we know for sure that European top schools are just way better than American across the board when it comes to rigorous higher education? What would that imply?

Sure there are research groups here at top American schools but the teaching sucks in comparison

[surreal sapphire]

US schools are better at the top level

because they are rich

but the average undergrad in europe gets a better education im pretty sure

[viscid pecan]

Only some schools, what about the top schools near the LHC

[surreal sapphire]

sure, but US still outranks

there are good school in europe but its not that many

although tbf i think this is changing

[viscid pecan]

How would it be changing?

[surreal sapphire]

the US isnt really a place people voluntarily move to anymore

[viscid pecan]

So you think people are going to leave the US for better opportunities?

[surreal sapphire]

not necessarily

but the US could just "buy" many top scientists from all over the world for a long time

and people would happily go

but now people are more likely to stay where they are, or go somewhere in europe

[viscid pecan]

See I feel like this is the only reason why top schools here are top schools. None of the faculty are there for breeding future students for their institutions when they outsource their staff that completed their education abroad 🤣

[surreal sapphire]

(tbf this is just personal opinion and anecdotes)

[viscid pecan]

But at least you see what I’m getting at here, it just seems like the institutions here are like Jimmy rigged together

[surreal sapphire]

well, i never was in the US

[viscid pecan]

Cuz there is this illusion that we are so great but we aren’t

[surreal sapphire]

but US students coming here for a year are advised to only take easy classes

[viscid pecan]

Cuz we don’t employ our own people to do anything

[surreal sapphire]

because their classes did not prepare them

[viscid pecan]

Then again I think employment should be internationally approached and not restricted to nation states anymore

More decentralized policies are needed especially for this sort of stuff

I know people going thru postdoc hell here in the states. I’ve worked with masters students that shouldn’t even be masters students. It’s almost embarrassing

[surreal sapphire]

postdoc hell exists everywhere

[viscid pecan]

That is also true

[azure nymph]

It also depends on school you go to here if you go to a very prestigious school you may be expected to take very rigorous classes early on because they expect you to have taken at least some calc by the time you show up and probably even to have learned some stuff on your own

[blazing pawn]

Its not really surprising that US education is much less standardized than germany when its like 30x the size or something

lol

[hexed hazel]

Whats postdoc hell?

[azure nymph]

Yeah there are also 50 different states and education varies by county in the states

[surreal sapphire]

tbf higher educaton across the whole bologna area is very standardized now

it works quite well

[viscid pecan]

I think people need to think more long term and be patient about what they’re getting themselves into. How does a group of half a dozen masters data science students embarrassingly put a paper together with like no credible sources cited? Not a single source cited actually to look more into the intuition of the statistical methods being used… just wow

Now I’m not putting anyone on the spot here but a group of half a dozen masters students in data science that don’t know how to cite information on a paper……

[surreal sapphire]

like, moving inside bologna area is no issue at all

[blazing pawn]

i think american colleges just also fulfill a different function in our economy and arent really differentiated or categorized the way german ones are (we dont have a university/university of applied sciecne/trade school system in the same way)

[surreal sapphire]

thats fair

[viscid pecan]

I just wish there were more appreciatively rigorous STEM programs here. It just seems mostly like rushed big business superficial narratives

[blazing pawn]

i mean, they exist

there are a lot of them by pure numbers

theyre just hard to get into and expensive

[viscid pecan]

And I see the problem happening at scale because I think there is an association with appreciating rigor and modes of discipline as an efficient worker

Especially younger people now just starting college, a lot of them may not know what it means to have a dedicated healthy study routine

Or what it means to study a subject in depth

[azure nymph]

I would say a decent amount of people also don't care in my experience they just wanna graduate and get a job

[viscid pecan]

And by the time people are approaching their 20s, they don’t got much time to figure that out depending on circumstance

Cuz it’s easy to get caught up being distracted with all the crap happening

I don’t think people are naturally apathetic that’s the thing. Apathy is mostly a conditioned behavior

[blazing pawn]

its not really apathy so much as just having a different set of priorities

[viscid pecan]

Wdym by different set of priorities?

[azure nymph]

I know of plenty of people in engineering and comp sci who don't really care for comp sci or engineering they just want to do it cause it pays well and employment looks good or their parents force them

[blazing pawn]

Preferring to just graduate and get a degree rather than have a "rigorous stem education"

[viscid pecan]

But the thing is as the complexities of task completion for the work place progress, don’t you think that’s a problem?

Like if you are given more responsibility overtime for instance for technical tasks

[blazing pawn]

That seems like something you would need data to analyze

[viscid pecan]

And then all of a sudden your education doesn’t help you anymore

Absolutely

We need so much data

[blazing pawn]

But it doesnt seem like most people graduating with a CS degree right now feel underprepared or unequipped for the workforce, anecdotally

nor in many other degrees

[azure nymph]

I'mma be real most of friends say don't use much of their degrees in their work that's anecdotal and all but lots of people would probably say the same

[viscid pecan]

Like especially as technology advances, that can create or shift job sectors to even higher technical capacity

[azure nymph]

I have many swe friends most their jobs involve very little comp sci maybe 10% they say

[viscid pecan]

Demand*

I think a lot of people are just jumping into things without making an effort to think things through to some degree of reasonable outcomes.

Yet a lot of those CS/engineering majors want to contend to managerial roles that are more competitive to get into and less slots for. But then so many more people are gona bandwagon into it that then you have hunger games

Do we really need to hire a ton of fake engineers to fill job slots that probably won’t exist?

[azure nymph]

I'm just talking about entry level jobs like my friends range from junior software engineers to staff/principal engineer most of the friends I have who work in engineering do aerospace and are junior level employees and they just use a significant amount of their time working on specifications, cad, and fea instead of math, even doing very little calculus

Even the guy who's a high level engineer doesn't use much of his degree but instead his work experience from being in the field so long

[viscid pecan]

Yea but those same opportunities are not going to be available for long

As demands shift based on technological advances and environmental circumstances

[blazing pawn]

is there evidence for that

[azure nymph]

I don't think suddenly theory is gonna become the big need I think it's still gonna be stuff you learn on the job

[viscid pecan]

Wdym? There’s been many documentaries making associations between pre and post industrial Revolution and we certainly see the demands change overtime. We can make a lot of very interesting speculations but I think some of my concern is how we are collecting data on any of these sort of metrics.

[azure nymph]

I'm failing to see how this relates to needing more rigor? As far as I can tell in the field of engineering especially less rigor is probably needed now than before because we have technology to assist us instead of doing things more by hand

[viscid pecan]

“Learning on the job” is a deceptive phrase here. You don’t want to be stuck with the wrong jobs because then you set yourself up for a self-fulfilling prophecy.

I am rather surprised people have that much faith in big business enterprise anymore.

Like there is a lot of data out there but do you ever think about how it gets collected and how the data is contextualized? This makes speculation tricky.

[next schooner]

What data are you taking about?

This is super vague

Naturally, different types of data will be collected and analysed in different ways

Like what exactly is your thesis here?

[viscid pecan]

Yes so this is part of the problem. There’s no limit to how we analyze the data. We construct narratives around the patterns we see as we analyze it. This becomes a double edged sword, bc statistical inference theory always tells you that all statistical methods are limited based on context. The context in which is supplied by a narrative. The narrative is itself a set of phenomenal correlations that may be correct or incorrect. But that being said, any statistical methods can be used inappropriately even if it wasn’t purposefully used as such.

[next schooner]

But which data are you taking about

[viscid pecan]

I’m not talking about anything in particular. This is something any data scientist should be aware of

[next schooner]

Yes data should be analysed using appropriate methods and care taken when attempting to draw conclusions

It just seemed like you were trying to say something more than that

[viscid pecan]

Oh, I suppose I worded things a bit abrasively

Contextualization is a difficult thing because there’s so many variables at play and really… since your likely to use multiple statistical methods, your going to also have a multimodal approach to making correlations

But if we fail to account for the mechanisms of context, then we have problems along the line of the famous quote “correlation does not always imply causation”

[neat lintel]

What is a simple explanation for the inability to prove Beal Conjecture using the same methods used for Fermat's last theorem?

[scenic locust]

Just learned 1+2 = 12

[near temple]

Where did you learn this?

[scenic locust]

if you are doing arithmetic in Z/9Z

( ͡°( ͡° ͜ʖ( ͡° ͜ʖ ͡°)ʖ ͡°) ͡°)

[fair mural]

what if + is the binary operation representing concatenation

[scenic locust]

what is the structure of set of all string with [0-9] as alphabets...

concatenation as binary operation

[cold needle]

free group on ten objects

idk

well no inverses

so uhhh free semigroup

or whateve

[uncut socket]

@fast fable Then tell that person no

[fast fable]

Alr

[empty stratus]

Free monoid on ten elements.

The empty string is the identity element.

[scenic locust]

yeah..

[neat lintel]

I've been thinking that how someone could print a really really really small double value
Like (in java), if one prints a value less than 2^-1074, it turns to 0.0

I tried like using other libraries, in java. Like BigDecimal
But sadly, it doesn't support raising a decimal to a decimal

[fathom swallow]

Sending query to Wolfram Alpha, please wait.

An unknown exception occurred while fetching the Wolfram Alpha query!
If the problem persists please contact support.

Jun 8, 2022, 5:30 AM

[neat lintel]

Nvm

[clever knot]

I would be curious if it can even compute 2^1074

"BigInteger must support values in the range -2 Integer.MAX_VALUE (exclusive) to +2 Integer.MAX_VALUE (exclusive) and may support values outside of that range. The range of probable prime values is limited and may be less than the full supported positive range of BigInteger . The range must be at least 1 to 2^500000000"

[neat lintel]

Well in java, Double.MIN_VALUE is actually a constant that is the smallest positive double

If I wanted to assign a smaller value than that, how would I deal with it

[neat lintel]

Also yesterday Wolfram alpha computed a value till 10^-51817 for me

[surreal sapphire]

pretty sure wolfram just has arbitrary precision on integers

if you want smaller floating point values, you need a bigger datatype

so find a library or build it yourself

[neat lintel]

👍

[long matrix]

dont just bye us u mf

say summin :wg:

😢

[loud rivet]

False

[neat lintel]

@neat lintel @stark pelican talk here if u want maybe?

Yes

idk what happened

it went dormant

the bot basically

yeah what is that

[stark pelican]

Did someone say they used quadratic formula on a cubic

And it worked

[neat lintel]

maybe I'm trippin

let me double check

[waxen lily]

is the cubic ax^3+bx^2+cx=0

[neat lintel]

nah

faaaaa I'm actually trippin arent I

[stark pelican]

I think you are

[neat lintel]

$-x^3+2x+2=0$

[fathom swallow]

0/0=:Hmmcat:

[neat lintel]

this is the cubic

[stark pelican]

https://cdn.discordapp.com/attachments/423244559682764800/984127639654645810/unknown.png

43

Yeah it’s that one

[neat lintel]

how did it do this , did it first make them into like quadratic terms?

the original problem was 45 tho

^

is this problem actually solavble without calc

or graphing?

[neat lintel]

well it says "graphically"

[neat lintel]

I mean we pop it into a graph, i think it might just work idk

like some people were saying to me number 45 can be

ig they meant the graphical method

ye

so we can't use algebra for question 45?

I generally never solved cubics given none of the roots atleast without calc unless it's a special cubic

idk dog poo about cubics so you're the master rn

[neat lintel]

cardanos formula

exists

I mean like is cardanos formula algebra

cuz idk, I just passed algebra 2 I didn't see it there

Yeah but I'm so sorry @neat lintel @stark pelican The questions were meant to be solved graphically, I wasted EVERYONE's time. I'm truly sorry

[stark pelican]

Hahahahhah

[neat lintel]

I'll read them better next time, god dang. Please understand. Thank you

[rocky oyster]

what is this thing called?

[leaden torrent]

it seems to be converting it to polish notation

er, reverse polish notation

programmers might call it "stack-based expression evaluation"

or some similar phrase

[rocky oyster]

thank you

[maiden loom]

hello

[maiden loom]

sounds easy to solve for some reason

[neat lintel]

@ocean bronze

Honestly, psychology is the study of human brain but our school went ahead and made it a history course

[ocean bronze]

Oh

For me it’s a elective class

[neat lintel]

The fact that there's quite a lot of memorize, they were like "oh yeah we'll just make it an history "

[neat lintel]

well me too, I can choose to take American history or psychology

How far are you in Psychology?

[ocean bronze]

I don’t really need the credit because I’m already done with all the electives I’m meant to take and already got my extra elective credits done

[random kite]

Can someone help me with a math exercise?

[ocean bronze]

Right now it’s sigma Freud

[neat lintel]

Ah alr, yeah for me it's helping my history credit. And I want a solid 4 in everything

[ocean bronze]

Theory about mind

[neat lintel]

Use any of the help channels, #help-11

Yup, his theory is nice

[ocean bronze]

Only class I might fail

[neat lintel]

?

What does his theory say?

[ocean bronze]

But I did turn the summative in

So we’ll see

Hum let me check

[neat lintel]

Actually. DId you take notes?

[neat lintel]

you need to remember it on the top of your head 🤣

[ocean bronze]

I don’t take notes

My school is pretty easy

Getting a P is basically passing grade right and it gives u the credits and doesn’t affect your gpa

[neat lintel]

I mean damn

Alright

[ocean bronze]

There’s basically a hack in my school

That u can get all Ps

And one A

Which would count as a 4.0 gpa

[neat lintel]

@pastel mantle Hats off to this man for simultaneously helping everyone in the help channels. 👑 do you not get tired ??

[pastel mantle]

lmao I have some free time rn that's all

[rare cove]

Hiya, does anyone know if there's short hand notation for a function already being integrated, like a differentiated function is f(x) with a lil dash above the f. Wondering if there's an integrated version

[next schooner]

Capital letters are sometimes used to denote antiderivatives

However, I don't believe there is a universally understood convention for annotating them

See, for example, the usual statement of the fundamental theorem of calculus

[rare cove]

ah, ok. ty for the response💛

[neat lintel]

Dumb question, but is it possible to have a function that instead of giving a value, it gives a range of values?

[surreal sapphire]

a function can return a set, so yes

[neat lintel]

So lets say we have a set called U, for every value that are True(???). Then I can make a function that different returns sets within U?

Maybe that was a bad explination

[surreal sapphire]

i cant quite parse this, is U the domain or codomain

[neat lintel]

I'm very new to this. Think in my school, we called the set that is "above" every set "U"

[surreal sapphire]

well, you can have like a function f from {0, 1} into say the powerset of {1, 2, 3}

and f(1) = {1, 2}

so f returns a subset of {1, 2, 3} when you plug in 1

and you can interpret this as a range of values if you want

[proud olive]

Over here we kinda learned that a function will never return more than one value

[neat lintel]

And if I really want to "goof around", I don't need to use integers in the set, I could use variables, right?

[surreal sapphire]

well a set is concrete

you can use other objects

[surreal sapphire]

the one value here is a set

which works

[neat lintel]

Oh, man, how is math this cool?!

[proud olive]

Oh

[surreal sapphire]

you just have to be precise about the objects

[neat lintel]

Can't wait until next year for uni