serious-discussion

[flat harbor]

wow. u fuck in g ask ryc and not the individual in chat who does this shit for aliving. i see how it is. j see how the ball rolls. i see how the stone turns. i see how the ass ripples. i see what i see.

[deep mango]

Hey blo i know it's 4:30 am for you but recommend me a physics book right now

[fair mural]

blo is being naughty and staying up late?

[deep mango]

No

But slurp asked me about a book at 4:30 for blo

So idk what blo is on about

[flat harbor]

general relativity by wald

its enough to satiate most mathheads in chat i believe

[zealous garden]

based blo

[storm sage]

@zealous garden reminder to study model theory

[lusty tiger]

<@&268886789983436800> person spamming DMs with advertisement

[neat lintel]

This person too

[lusty tiger]

its probab;y a hacked server

so whenever someone clicks it they lose their account token

[neon tundra]

Yes, we're aware. Everybody are getting them from different accounts. We don't need more reports just now.

[viscid sundial]

whats this mean?

[sonic sentinel]

i didnt get a dm like that

no one want me fr

[proud olive]

Same

[neat frost]

Tf I need ELECTRICITY (and magnetism. Or optics) not fucking relativity

[tight comet]

https://en.wikipedia.org/wiki/List_of_textbooks_in_electromagnetism
pick one?

[neat frost]

Well that takes away the fun of annoying ryc for one, but thanks!

[viral hollow]

Most amusing

[flat harbor]

griffiths is the closest to a "rigorous" em experience ull get in a ug setting

the actual content of em is using results in diffeq linalg and multivar to applicable situations

when the mathematical reasoning has physical significance its explained in the text

and otherwise u can just find other textbooks that prove the important results

[tight comet]

I like griffiths not because it's maff but because it's readable lol

i think the elitez like Landau Lifshitz

[bright hill]

Wait...

Are you doing a PhD?

[sleek wing]

the only jobs in existence are PhDs

[flat harbor]

ure either a phd or a freedom hating taxpayer money leeching free loader

[bright hill]

What other jobs exist where you do physics for a living?

[flat harbor]

(they are one in the same)

[bright hill]

(tbd, Blo having a job at all is surprising)

[flat harbor]

quantum mechanics explain in hindi इस विडियो में हम आपको बताने वाले science explained in 30 minute

[sleek wing]

this is how all of my post grad seminars are titled

[neat frost]

Blo’s being forced to work by the government I think

[fluid rover]

yall dude

i have a question

what does this equation du?

[tight comet]

blo you are a phd?

[flat harbor]

im forced to work (put it in) (you gotta) work (uhuh)

[flat harbor]

no

[neat frost]

Blo is a middle schooler

[flat harbor]

i have chuunibyo

blochan desu

[tight comet]

transcribe a python tutorial, run microsoft sam, upload as video, profit

[tight comet]

didn't know you had a dlitt

[bright hill]

Neesan, how much japanese do you actually know?

[flat harbor]

microsoft sam bends backwards for least efficient prime number algorithm in existence

[bright hill]

[neat frost]

Good morning DarQ!

[bright hill]

Good morning slurp!

Lol

[flat harbor]

えええええええガリクブレッドああああああああああ

[tight comet]

who is your nee san

[neat frost]

I found “electricity and magnetism for mathematicians” and it looks poopy

[tight comet]

blo is a nee nee?

[flat harbor]

slurp

em is a lower undergrad class

[neat frost]

Yes bloski

[neat frost]

I know

[tight comet]

stop looking for poopy books. get jackson

[flat harbor]

ure not supposed to learn it like a mathematician

[neat frost]

I don’t want high level physics

[tight comet]

then why are you complaining

[neat frost]

I just want to learn it in a way that’s fucking interesting

[tight comet]

low level physics is low level math

[flat harbor]

and u think axiomatic mechanics is fucking interesting?

[tight comet]

I've never progressed pass the maxwell equations in vacuum

[flat harbor]

do you want to learn abt gauge invariance and symplectic manifolds is that it

if u want to do phys like a math major then heres a real doozy : be a phys major

[tight comet]

I don't even need gauges in standard electrostatics

[flat harbor]

ull end up like that in 3 to 4 years

[neat frost]

I want to try something different from the way I’m being taught it atm which is boring

[flat harbor]

how are u being taught it rn

[neat frost]

Nuh uh there’s a reason I didn’t become a physics major

[neat frost]

It’s a hs class so like

[flat harbor]

bro

everything up to genphys is a snooze

[tight comet]

just sleep in class

[flat harbor]

noone can make it interesting

[neat frost]

(It’s because when I logged in to register, it already marked me as CS)

[neat frost]

Yeah sure but that’s why I want to learn it by myself

[flat harbor]

if feynmans lectures cant make u interested in classical em then nothing can.... sorry sweaty

[neat frost]

In a way that’s more interesting

[flat harbor]

if u become a phys major ill stop harassing u on discord

[neat frost]

You a Feynman fanboy?

[flat harbor]

no

[neat frost]

You’re like a year too late baby

[flat harbor]

but u might be

[flat harbor]

change major

[neat frost]

Why

[flat harbor]

most schools allow it

[neat frost]

Then I have to make up courses

[flat harbor]

ure doing phys rn neways

[neat frost]

No

[flat harbor]

and ull need cs in phys neways

[neat frost]

I’m doing HS physics

In HS

[tight comet]

watch electroboom or styropyro

[neat frost]

In uni I haven’t done any physics

[flat harbor]

i was a cs major for first year and changed to phys

i walked ur path...

and uni phys is just hs phys with calculus

its a snoozy

[tight comet]

why did you change from a profit-making major to a loss-making major

[flat harbor]

poor life decisions

[tight comet]

are you one of those quantum computing wannabes

[flat harbor]

im a stable income wannabe

[tight comet]

how is phys gonna do that

[flat harbor]

i get memed at by my phys friends for being a math major

[tight comet]

will samsung even pay you

[flat harbor]

i get memed here by mathheads for being a phys major

[neat frost]

Sounds boring why would I wanna do that

[flat harbor]

there is no rest for the wicked

[tight comet]

im not even a mathhead

[flat harbor]

bc after that u get to experience brain haemorrhage

[bright hill]

Garikupureddo?

[mint canopy]

Garlic bread

[tight comet]

to compute the probabilities of events happening, like those in nuclear fusion

[flat harbor]

u gain the intellectual ability to look at a physics paper and have a mental breakdown instead of disinterest

[flat harbor]

I LOVE CROSS SECTIONS

[tight comet]

oh no

he's lost it

you either hate cross sections, which makes you say that, and you lost it

[bright hill]

OH

[neat frost]

Yeah but like I could do that right now as well (it’s called guessing)

[bright hill]

That makes sense lel

[tight comet]

or you unironically love cross sections, which is a lost cause, so you lost it

[flat harbor]

ohmygod I love dipole approximation that allows me to find energy absorption and forced emission with harmonically oscillating potentials

SEXy laday

[bright hill]

Do you know japanese?

[neat frost]

Blo shut yo trap

[tight comet]

Teller says no

[neat frost]

Kawaiiiiii

[tight comet]

I don't think there's anything interesting happening in physics now

the best stuff is done by the experimentalists

[flat harbor]

woah thats not a nice word to say to trans ppl slurp knowing u its probs a mistake but watch out from now on

SEXY lady op op op op

[neat frost]

Blo shut the fuck up you looney toon

[bright hill]

You're trans?

[tight comet]

https://www.quantamagazine.org/teenager-solves-stubborn-riddle-about-prime-number-look-alikes-20221013/
this article makes me feel good about myself

[neat frost]

How come

[flat harbor]

i am being chased by you down a highway. thinking of ways to avoid you i come up to a wall and draw a massive tunnel expecting you to run headfirst into it and break several bones.

[tight comet]

at age 17 I wasn't talking to Pomerance on anything. At age now I'm still not talking to Pomerance

[neat frost]

That’s a good thing? Idk who pomerance is

[flat harbor]

@neat frost however to my demise as i watch hid behind a bush, and of perhaps divine comedic intervention you pass through this virtual tunnel without mistake. i am shocked and stunned as you slowly disappear into the horizon.

[tight comet]

just memorise this list, you'll sound like a mathematician
https://en.wikipedia.org/wiki/Category:Fellows_of_the_American_Mathematical_Society

[flat harbor]

@neat frost perhaps motivated by spite, revenge, or even awe at the supernatural i try my go at chasing after you down this virtual tunnel i have created, with half whimsical emotion. however as a final struck of fate, divine comedy and karma strikes again as i, the creator slam headfirst into the wall that has been created by me for that exact purpose. oh the irony.

[flat harbor]

no

[neat frost]

Amazing story. You should write fanfic.

[flat harbor]

u sure?

ukno who im gonna write it abt

[neat frost]

Blo doesn’t even actually exist

Naruto?

[bright hill]

[flat harbor]

reader x slurp and im the only one who reads it its on my hard drive noone gets to read it

[bright hill]

So she's vacuously trans?

[neat frost]

Publish that shit blo

[flat harbor]

publishes you severely

[neat frost]

Hmm I believe trans requires existence tho

[flat harbor]

where does it say that

youre wrong

shut up slurp what do u know

stupid idiot

[bright hill]

Lol

[flat harbor]

what happens when u read a reader x yourself fanfic

[neat frost]

Section §1.3 subsection Q of the LGBT+ Agenda

[flat harbor]

do u fucking die

i was gonna say "oh so now we're excluding the Qs from subsection Q" but u fuckin edited it fuck you

[neat frost]

Ha

Get fucked you perv

(Pervness doesn’t require existence)

[flat harbor]

oh so now im a PERV for EXPRESSING MYSELF???

[neat frost]

No

[flat harbor]

blophobia slurp

[neat frost]

You’re a perv because you’re a perv

[neat frost]

Yes

[flat harbor]

trve...

[neat frost]

Blo did you graduate uni already?

[flat harbor]

i did up to year 2 and left lmao

i will not be a uni graduate until 2025 :)

[neat frost]

Damn

[tight comet]

did you just assume pronouns

[neat frost]

No

Because blo doesn’t exist

[tight comet]

graduate = desperate

so that's a good thing

[flat harbor]

im a figment in ur mind

if u think ure misgendering me tjen thats what ure doing

[neat frost]

Blo is but a faulty neuron

[flat harbor]

im a trick of the light

[bright hill]

I spoke to Blo before lol

[flat harbor]

that finger shadow puppet u saw at the chapel when u were 5? yeah

[bright hill]

She doesn't mind she/her

[neat frost]

Remember when DarQ thought I was a girl for absolutely no reason at all

Smh

[flat harbor]

anime pfp

[tight comet]

fox pfp

that's a fox right

[bright hill]

Piece of shit

[flat harbor]

bring bakc ur anime pfp

u slut

[neat frost]

Yeah it’s a foxy fox

[bright hill]

You mofo, I remember word for word

[flat harbor]

fukcin dumbass fox why it eyes closed huh? too afraid of the world out there

[bright hill]

I said "wait, you're a girl??"

[neat frost]

Remember what word for word I literally can’t remember shit I’ve done 15 seconds ago

[flat harbor]

but yea slurp did try to convince me he was a she

[neat frost]

It’s facing you

[bright hill]

And you replied "yes?..."

[neat frost]

False

Never happened

[bright hill]

How tf is that "no reason at all"

[neat frost]

You’re victim blaming

[neat frost]

Sounds to me like it is

[flat harbor]

dont be afraid ❤️
im here ❤️
i wont leave ur side ❤️
we'll be forever together ❤️

[bright hill]

Whatever you say, toddler

[flat harbor]

id never victim blame u... id victim bully u

i FUCKING HOPE u get ur purse robbed by a mysterious hooded figure one day so i can LAUGH MY TITS OFF at ur sorry ass

[neat frost]

#chill message

[flat harbor]

ok darq thats on u

[neat frost]

Yea…? Is not yes?…

[flat harbor]

what a idiot

[bright hill]

...

[neat frost]

“Word for word”

What a buffoon

[flat harbor]

he rly cranked it there

[bright hill]

I'm sorry I don't have a photographic memory of every bit of conversation we have together

[flat harbor]

i do

[neat frost]

But you pretend you do you lemur

[flat harbor]

i rember when slurp first talked to me.....

[bright hill]

I thought I did

[flat harbor]

back when he was young and starry eyed and didnt know stranger danger

[bright hill]

It's not a big deal

[flat harbor]

and not afraid of oneesan....... the good old days

[neat frost]

Yeah when I first met blo I thought he might actually have something to offer the world

[neat frost]

It is

[flat harbor]

and now ure my world.........

[bright hill]

Oh yeah?

[neat frost]

Wtff blo

[flat harbor]

i am dying from mesothelioma

[neat frost]

Blo go sleep

It’s time for your beauty nap

[flat harbor]

its 6pm u wanker

[neat frost]

Cat nap

[flat harbor]

no

[bright hill]

How did I meet yohan?

[flat harbor]

i will drink monster energy blue

[flat harbor]

grindr

[neat frost]

What flavor is blue?

[bright hill]

Fuck you

Lmfaoooo

[flat harbor]

its the same as normal but zero sugar

[neat frost]

Oh like black can blue M?

[flat harbor]

its great for ppl like me who want the slim tum and hourglssd figrue

[flat harbor]

ye

[neat frost]

Mm

[flat harbor]

it tastes less acidic

[neat frost]

I’ve never had normal monster

[flat harbor]

which is a minus to me tbh

[neat frost]

Just the flavors

[flat harbor]

it tastes like what ud expect sulphuric acid to taste like

[bright hill]

It tastes like the smell of salt in the morning of a sky-clear beach

[neat frost]

Stfu DarQ adults talking here

[flat harbor]

byron wannabe btfo

[bright hill]

🤨

Say that again?

[neat frost]

Stfu DarQ. Adults are talking here.

[flat harbor]

neways the blu monster is optimal if ure going for the urinal tract stones speedrun

[neat frost]

Hmm

Enticing

[bright hill]

Ok, young man

No cheese fingers for a week!

[flat harbor]

5 cans of that and a frozen pizza a day

and ull be transmutating in no time

[neat frost]

How fucking white do you think I am

[bright hill]

Very

[neat frost]

Accurate

[flat harbor]

sotrue

albedo : max
libido : zero
dorito : yes

[bright hill]

Is this the white archetype or is that you?

[flat harbor]

my albedo is not as astonishing as slurps

and do i sound like someone with zero libido

[bright hill]

fair

[long matrix]

@neat frost who gave u a t

[bright hill]

Gimme my D back

(that sounds way worse than I imagined)

[deep mango]

Blue tastes like what darq said except with a strong hint of blackberry

[deep mango]

I did

[neat frost]

Ryc what notation do you use for weak convergence? Because Royden uses \rightharpoonup which I don’t like too much (too similar to \rightarrow)

Like if I actually had to write something converges weakly I’d use words

[deep mango]

I use right harpoon up because it makes me feel fancy

[neat frost]

But for me notes

[neat frost]

Bleh useless computer scientist

[deep mango]

But some people use the big implies arrow

[neat frost]

Hmm

[deep mango]

\Bigrightarrow maybe?

I dont remember

[neat frost]

\Rightarrow

[deep mango]

I think that's really stupid

Cause it's supposed to be weaker

But i guess the point is that the arrow has a hole in it

[neat frost]

Hmm

This is fucking stupid

[deep mango]

Weak convergence is great

[neat frost]

The difference between two symbols should not be a little nick a pt long

[deep mango]

Well

Usually you say

"so we can conclude weak convergence, $x_n \rightharpoonup x$

Or something

[fathom swallow]

mrR)>

[neat frost]

hmm someone said $\buildrel w\over\rightarrow$

[deep mango]

Oh yeah!

People do that too

I forgot about that

[neat frost]

Yeah but I want something for my notes (where I’m using fewer words), so readability (for me) is key (even though I’ll never read my notes after writing them)

[deep mango]

Use the w on top

[neat frost]

Ye

[deep mango]

That's the common clear notation

[neat frost]

Tho it is less fancy shmancy

[deep mango]

You could lengthen the arrow a bit

To make it look better

[neat frost]

Yeah ofc

\rightarrow shortie like me

[deep mango]

And if you really want to be pedantic you can put an s above strong convergence, or even the space

[neat frost]

The space?

[deep mango]

I write $f_n \xrightarrow{L^p} f$ if I'm dealing with multiple modes of convergence

[fathom swallow]

mrR)>

[neat frost]

Oh

I like that

[deep mango]

For convergence in measure, I put the measure on top

For convergence almost everywhere, i put a.e. on top, or mu a.e. or whatever

[neat frost]

Convergence in measure is for every $\epsilon>0$ there is an $N$ such that forall $n\geq N$, $m\set{x\in E}[\abs{f(x)-f_n(x)}>\epsilon]<\epsilon$ right?

[deep mango]

Uhh

[deep mango]

That might be equivalent

[neat frost]

Oh is there a nicer definition? Iirc that’s how Royden defined it

[deep mango]

But the definition I see is, for every $\varepsilon > 0$, we have $$\lim_{n \to \infty} m{x \in E : |f(x) - f_n(x)| > \varepsilon} = 0$$

[fathom swallow]

mrR)>

[deep mango]

So basically, the difference can only be big on a set that shrinks to 0.

[neat frost]

Mmm okie

[deep mango]

Ofc this implies your definition

[neat frost]

Yeah I think it’s equivalent

[deep mango]

Cause you can pick N so that the limit thing goes below epsilon

But idk about the other direction

Two epsilons

Oh

Uhh

[neat frost]

Well you can add a forall \delta>0 and do set of difference greater than delta is less than epsilon

And this is equivalent

[deep mango]

The set where f_n - f is bigger that epsilon/2 is bigger than the set where it's bigger than epsilon

Oh maybe that works

[neat frost]

Convergence in measure equivalent to for every $\epsilon,\delta>0$ there is an $N$ such that forall $n\geq N$, $m\set{x\in E}[\abs{f(x)-f_n(x)}>\delta]<\epsilon$ right?

[deep mango]

Umm

[deep mango]

Yes cause the quantifier is outside

[neat frost]

Anyway

[deep mango]

Ur right ur right

[neat frost]

Why’s this useful

Royden pretty much defined it for the sake of defining it

Also I can’t remember, does pointwise convergence imply convergence in measure?

Because I know the converse isn’t true

[deep mango]

It's usually easier to prove things converge in measure if you just know information about their distribution (the distribution of f is something like a(lambda) = m{f > lambda}, i forget the signs/inequality directions)

And then measure convergence implies more useful kinds in some ways

In particular, convergence in measure implies that a subsequence converges pointwise a.e. (this is a fun theorem to try proving, but it's not easy) and convergence in measure + an L^p dominator is enough to do Dominated Convergence Theorem for L^p convergence, p < infinity.

[neat frost]

Oh it does

[deep mango]

Yes

Egeroff's theorem implies that

But i never remember how to prove egeroff's theorem

[neat frost]

Yeah it’s a theorem Royden proved (they’re equivalent)

[neat frost]

Wassat?

[deep mango]

If fn converges pointwise a.e. then it converges almost uniformly (for every epsilon, you can remove a measure epsilon set and the functions will converge uniformly when restricted to E minus that measure epsilon set)

Oh

For m(E) < infinity

Oopsie

[neat frost]

Hmm this sounds familiar

[tender tulip]

I like to pretend that all my measures lack infinity

[neat frost]

Oh yeah this is only for mE<inf (the equivalence, I keep misreading my notes lol)

[deep mango]

An example of something that is much easier to prove using convergence in measure is the Law of Large Numbers

[neat frost]

Hmm

But finite measure sets are boring

[neat frost]

Oh?

[deep mango]

(its true for L^1 convergence too but that's a lot harder to prove)

[tender tulip]

what is L^1 again? bounded abs integral ?

[neat frost]

Integrable functions

So yeah

[neat frost]

What is the measure theoretic law of large numbers?

I forgot the probabilistic LLN as well

[deep mango]

The law of large numbers says that if mE = 1, if f_n is a sequence of "independent identically distributed random variables" (random variable = measurable function to R, identically distributed says the a's i defined before are all the same, and independent is nasty to define)

And if integral f_n = mu (they're all the same mu, since the f_n's have the same distribution function)

[neat frost]

What does identical distribution mean, I don’t understand?

[deep mango]

Then (f1 + ... + fn)/n converges to mu

[neat frost]

Mmm

[deep mango]

Both in measure, and in L^1 norm

But in L^1 norm is hard to prove

[neat frost]

Oh

That’s the weak law right?

[deep mango]

Yes

The weak law is in measure

[tender tulip]

lol I defined the "variability" and "mean" as a limit

[deep mango]

The strong law is in probability

[neat frost]

Hmm

[neat frost]

Isn’t the integral of f_n 1 if they’re random variables?

[deep mango]

In words, it says that the mass of the functions above any horizontal line are the same. You could view the functions as being lateral shifts of each other, if you think of them as sandcastles or something.

[deep mango]

No, the integral is the mean

A random variable is not the same as its probability density

[neat frost]

Oh

Right

[deep mango]

Also

The distribution function I defined

Is the same as the cdf

Cumulative distribution function

[neat frost]

Yeahhh

[deep mango]

It should have been m{f < lambda}

Whatever

[neat frost]

Right

[tender tulip]

if µ is the mean, then let K be the collection of random sequences with said mean, and sigma(f) be the summatory sequence for any f in K

for all f in K and epsilon , there exists an N such that for all n > N: |sigma(f)(n) - µx| < epsilon

of course with cauchy

[tall minnow]

You don't even need egoroff here. A sequence of set that goes to a null set has measure going to zero.

[deep mango]

Yes

You can just write it down

But that stuff makes me feel icky

[neat frost]

Anyway thanks rycie boy

I’ll do some weak convergence now

[tall minnow]

It really does seem like this only comes up in probability stuff

[neat frost]

Oh one last question, who tf is Riesz

[deep mango]

Only kind you can manage

[coral perch]

PnC is hard oof

[neat frost]

His name is everywhere

[deep mango]

There are two Rieszs! And they're brothers

[neat frost]

Nuh uh I can manage no convergence as well

[neat frost]

Tf

[deep mango]

That might be why it comes up so much

Lol

[neat frost]

Which one is more famous?

[deep mango]

Uhh

[neat frost]

Imagine going into the same profession as your brother, id hate that

[deep mango]

The riesz representation theorem one

[neat frost]

Mmm

[deep mango]

Its funny too cause there are two riesz representation theorems

But they're the same riesz

[neat frost]

There are?

[tall minnow]

Not to be confused with Reese's donuts

[deep mango]

There are

One for the duals of hilbert spaces

(bounded linear functionals are just inner products with a specific vector in the space)

And one for the dual of C(X) for X a compact hausdorff topological space, C(X) represents the continuous functions from X to R.

So for example, continuous functions from a closed bounded set in R^n to R.

[neat frost]

Hmm I think we proved this in linalg but only for finite dimensions

[deep mango]

It tells you that the dual of this space is the space of "radon measures" on X: basically, it's a bunch of measures with certain properties that guarantee that integrating a continuous function with respect to a measure is nice and well behaved.

[deep mango]

The proof in infinite dimensions is really similar

[neat frost]

Which one corresponds to the one for L^p spaces? Because L^p isn’t hilbert, but it isn’t just continuous functions as well

[deep mango]

People care about the duals of other spaces too, but those two types of spaces get riesz.

[deep mango]

That's its own theorem, but i dont think it has a name.

[tall minnow]

The proof of dual of C(X) in papa rudin is a crime against humanity

[neat frost]

Oh

[deep mango]

I hate it

[neat frost]

Royden called it the riesz representation theorem (for the dual of L^p) lol

[deep mango]

Lol

Well

I dont think riesz did that

But sure, you could call "this space has such and such dual" a "riesz representation theorem" if you want

Royden is a freak

[neat frost]

Wow

Speaking ill of the dead, you’re for sure going to hell ryc

[tall minnow]

Actually

It makes sense

[deep mango]

Use riesz thorin

Idk

[tall minnow]

Riesz just uses a fact that you can define the orthogonal component of a closed subspace.
It works for hilbert. But also for Lp spaces via the integral.

[deep mango]

Hmmm

Yes, I suppose so

But there's a lot to prove

Reverse holder I freakin hate that result

Well its pretty obvious to me now

But at the time it was the only thing i didn't understand and then I was supposed to reprove it on my midterm

Of all things

[tall minnow]

I don't think anyone will even care for grades in grad school

Unless you leave for industry and HR only knows to look at your transcript

[deep mango]

Thst was in second year undergrad when I still cared a lot lol

(but i still micromanage grades out of habit, for fun)

[neat frost]

What’s reverse holder? And you took anal in second year?

Oh also I looked at the syllabus of the course and in its bibliography it has Royden

Oh it’s an ugly looking inequality

[tall minnow]

I actually forgot about it

But it should just be something obvious from f=fgg^(-1)

[deep mango]

It says that if $f$ is a measurable function such that there is a constant $C$ so that for any $g \in L^q$, \int fg \leq C |g|_q$, then $f \in L^p$ and $|f|_p \leq C$.

[fathom swallow]

mrR)>
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[deep mango]

What error stupid

Anyway, it's not hard to show if you assume f is in L^p and then show the bound on C

Then its f g g^-1

But if you want to do it for sigma finite measure spaces and just show it for f measurable, you need to do horizontal and vertical truncations and show the limits are okay. Which is very annoying

I should say here 1/p + 1/q = 1 and the measure space is sigma finite.

[split raptor]

Can someone help me in #help-5

[tall minnow]

let g be |f|^k and basically make it finite

[deep mango]

Yes yes

And you do like

Sign(f) or something

Either far too often or not often enough depending on who you are

But its my job yeah

[tall minnow]

But wiki says this is reverse holder

[deep mango]

That's funny

That's another nice reverse holder

Maybe mine is converse holder

I have never used an L^p space for p < 1

[tall minnow]

Maybe. Converse holder is only used during the proof of the dual of Lp as I recall

[deep mango]

I think so

[tall minnow]

Cheskidov and Luo had to subtract one of their papers due to a small error in estimates.
Things happen.

Published papers have errors all the time

But just like with anything else, time and peer review spot and cure the errors. In fact you may even get a free paper from it

That'd be nice

Oh my how do you even know about this

I just mean where you heard about it

Ok that makes sense

Yeah. It's also mainly because algebra and higher categories stuff are so abstract one can even be misled by notation

Proof assistants are useful stuff. But in practice most fields progress quicker with manual checking

It's only when you do something super weird with your logic that you run outside the mental capacity of a human mathematician to check

[deep mango]

Yes, it's very possible and probably happens more than it should, and no it doesn't concern me much at all

It would concern me if the theorem I proved accidentally affected how someone's heart surgery went

But I do not get hung up on the sanctity of truth and knowledge, I just do math cause I think understanding physical systems is fun and I'm better at / have more fun with theory than with any other methodology for that

[tall minnow]

when you go into a field, you work through papers
I found a mistake in an old construction, for instance, and had to contact the original author. he was kind enough to help me with my thesis

each mathematician ideally has to be their own beacon of truth

[deep mango]

That would suck, but people also work on problems they never solve for many years. Math is a weird cocktail of transience and patience, and it's definitely something researchers need to come to terms with.

[bright hill]

,av delerik

[fathom swallow]

Delerik#9387's Avatar

Click here to view the image.

[bright hill]

Is this from a game?

[fair mural]

isn’t that yakuza

[tawdry radish]

i come bearing cat

[bright hill]

Cat bearing appreciated

How u doin, miru?

[tawdry radish]

i have a big shop update today and im panicking trying to prep listings haha

[bright hill]

Good luck!

[tawdry radish]

thank youuu

its like

20ish new things

[bronze sun]

Hey guys, currently doing Terry Tao's Analysis I. Is it okay to skip C1 - C4 and go straight to the limits part? I've dealt with C3 quite a few times in other books now, and C4 is not that important to my studies.

[devout nacelle]

Sure

[oblique briar]

Im from a chemical engineering/ computational/mining background. What would be the equivalent of Colorados SME conference for mathmatics? Basically what is a very popular math conference?

[viscid sundial]

what does clicking on the link what does loosing your account token mean?

[tall minnow]

Deus Ex (the new ones)

[brittle socket]

[full nimbus]

Hey guys I have a random question well a bit curious like those on here that study maths what do u want to do with it/or sectors do u work in to those who have already graduated- like any specific jobs or roles cuz maths is quite diverse too

i'm just curious and thinking cuz like i study rn but have nooo idea uno too

[halcyon bear]

Hey everyone, I'm currently reading Stephen Abbott's Understanding analysis and I wanted to know if anyone else wants to read it with me? If you do, or if there's another book that you'd like to read in a group help me in starting a Math(s) Book Club: https://discord.gg/RceKXSkbWS

[west jackal]

i hate this class so much

prof sends us an absurdly long assignment and a bunch of the questions are just blatantly wrong

this guy's teaching PDEs and he doesn't know that $\zeta(2n)=C\pi^{2n}$??

[fathom swallow]

nix

[tender tulip]

if we define a sequence corresponding to the Collatz sequence starting with a number k, then if you let them be the coefficients in an analytic series that converges for |x| < 1, technically it should be a rational function

[storm sage]

oh hey I graded a similar problem lol

[velvet dagger]

@west jackal so on the one hand I do think people should be double checking their shit before assigning it

That said, I don't see why the typical PDE person should know about zeta(2n) shit lol

[west jackal]

huh. i just thought that was common mathematical knowledge, especially seeing as it's such a cool result. but yeah i guess i wouldn't know as an undergrad.

[west jackal]

tbh i like these problems because i like infinite sums, especially when they give values of the zeta function. also Fourier series are cool. but i really prefer when they're given with the correct answer

[maiden prairie]

I believe that one infinity cannot be greater than another infinity. Infinity is infinity. There are no countable and uncountable infinities. Each element of the set of rational numbers can be associated with an element from the set of natural numbers

[woven whale]

believing and knowing are two different things

[maiden prairie]

If I can prove that it is possible for each element from the set of rational numbers to be associated with an element from the set of natural numbers, then this will not prove that there are no uncountable infinities?

[woven whale]

it won't

try doing it with irrationals

[trim jackal]

someone check help 9

[storm sage]

No, the set of rationals and the set of naturals are both countably infinite

It's old news (since Cantor) that each rational can be associated with a natural

You cannot however do this for the real numbers

[maiden prairie]

Oh... I think I can prove that real (and even complex) numbers are countable. But this will not be a rigorous proof, but ... a conceptual?
I'm probably wrong. Could the mathematicians be wrong?

[storm sage]

You can try proving that

[alpine kindle]

you won't get very far

[storm sage]

But if you start from the same axioms that Cantor did, then you likely will not succeed

If you start from different axioms on the other hand, then it's entirely possible

[alpine kindle]

there are countless proofs that the reals are uncountable

in zfc

[storm sage]

but who knows, zfc could be inconsistent :p

[alpine kindle]

even if zfc is inconsistent, it would take a hell of a lot of effort and high level maths to prove the countability of the reals
else we would have done it already

[mint canopy]

"could the mathematicians be wrong?" Yeah in general, but not about this one. There are undoubtedly false things published out there, but it is hilarious to doubt the proof that the reals are uncountable.

[alpine kindle]

there are plenty of more recent things you could contest

[mint canopy]

Errata exist

[alpine kindle]

especially with people referencing papers that haven't been finished

[mint canopy]

LOL

[alpine kindle]

apparently that's actually a common thing

[mint canopy]

Yeah to sort of capstone this whole point, it's really silly to say you've proved the reals are countable.

[alpine kindle]

yeah

[odd narwhal]

Watch me

(I am working in a model in which the reals are a countable union of countable sets)

[merry gyro]

is anyone like

good at math

like

[alpine kindle]

yes

[merry gyro]

grade 10 math

[merry gyro]

grade 10 math?

[alpine kindle]

oh i thought you were asking in general

[merry gyro]

kinda

i mean

[alpine kindle]

if there exist people good at maths

on earth

[merry gyro]

OML NO

i need help

in my math hw

[alpine kindle]

i don't have time

[maiden prairie]

Let's say we have a computer that can do the impossible: perform calculations indefinitely. If, after performing an infinite number of iterations, the result is reduced to a real number, then the computer returns it, otherwise it returns, for example, 0.
There is a programming language for this computer. And you can write a program in this language that calculates any real number. And then let's assume that the real number will correspond to the codes of the programs that calculate this number. And the program code can be represented as an integer. So every real number has an infinite number of integers

[static loom]

And you can write a program in this language that calculates any real number.
you sure about that?

[distant goblet]

isn't this just saying you can have a (countably) infinite decimal expansion of any real number

😅

[maiden prairie]

no (

[static loom]

sounds like you'd only ever have countably many computer programs

but maybe not, idk it's sorta vague but trying to be charitable here

[storm sage]

This is the general idea of the way to prove that the computable real numbers are countable

Which is true

The real numbers however are uncountable

hello!

[maiden prairie]

well, at least I can’t imagine such a number for which there will be no algorithm

[storm sage]

https://en.wikipedia.org/wiki/Chaitin's_constant

[distant goblet]

Well can we compute all the digits of pi?

[storm sage]

This is where things start getting SUPER WEIRD

[maiden prairie]

Oh, thanks

[storm sage]

okay well there's an infinite series you can calculate to get pi to an arbitrary precision so imo this is not a good example

[distant goblet]

I see

[mint canopy]

This is a good observation, as in fact it shows that the set of computable reals is countable. Unfortunately not every real is computable.

[storm sage]

Yeah it's a very clever observation

I don't think I would've thought of that myself

[trim jackal]

can someone check help 9 its kinda har

hard

[maiden prairie]

Regarding the calculation of Chaiten's Constant on my imaginary computer, I have an idea. But even if it can be calculated, this does not prove that all non-computable numbers can be calculated on my computer

[storm sage]

Wait if it's non-computable, isn't it by definition not able to be calculated by an algorithm?

[maiden prairie]

I told that my computer can do the impossible

[mint canopy]

Woah so it can even make your argument valid!!!

OK well I will take you seriously for a bit

When you claim your computer can "do the impossible," this is really too vague to be dealt with. In the end it's really contradictory, but let's interpret this as some kind of statement about its strength that isn't clear quite yet.

The main argument that you make is that its programs are all finite, so there are countably many, and each of these programs can produce a real, so there are countably many reals

Without a proper description of what these programs can be, this is just not precise enough

But the point I'm going to make is that no, actually you would need 'infinitely long' programs to encode all real numbers, so you can't do this.

Does that sort of make sense to you? I won't really care if you disagree anymore because you're not doing maths at this point, but I would at least like to know if you've understood.

[maiden prairie]

I thought badly about my computer concept. But by design, it has one special impossible property: the ability to perform infinite loops. I think it's possible that eventually my computer could calculate any real number using a finite amount of code. I don't think that with my knowledge I can prove it. And it may not be possible to prove this. Maybe just have a counter example?

[mint canopy]

OK that's nice, I'm not interested sorry

[storm sage]

what do you mean perform infinite loops

[maiden prairie]

If, after performing an infinite number of iterations, the result is reduced to a real number, then the computer returns it, otherwise it returns, for example, 0.

[neat frost]

The issue is that this is false.
As you said above I think, there is a countable number of programs (finite programs, as in the program itself written in language is finite) and an uncountable number of reals.
If your program itself can be infinite though, then this is easy to show since reals can be written down with countably many letters.

I now notice that this point has been reiterated numerous times

[maiden prairie]

But aren't the real numbers uncountable because we couldn't associate each real number with an integer? If there is another reason why real numbers are uncountable, then I admit that I am wrong

[alpine kindle]

you can prove it in many ways

both given explanations are equally valid

[neat frost]

Yes this is the reason (this is basically the definition of inequality between cardinalities). And it’s been proven that this is the case.
You still haven’t proven what you’re claiming though either: that given any real, you can write a finite program which will return that real. Because you can’t.
This can be done with infinite length programs, but those can’t be associated with an integer

[mint canopy]

Lol

Respect for sticking it out so long

they've made it clear they're not interested imo

[storm sage]

If it's an infinite process then it can't have a result in the first place

Unless you take a limit, but that doesn't seem any different than allowing a finite loop

[mint canopy]

Ooooh if I flick a lightswitch infinitely many times, does it end as being off or on ooooh so spooooky!!!!

[storm sage]

I wanna learn computable analysis

would be hype

[maiden prairie]

I wrote that if the sequence does not converge, then my computer will return 0

[mint canopy]

I'm really not interested, please don't ping me

[storm sage]

So you're just taking a limit

[neat frost]

Like even if you could somehow define infinite loops, you still couldn’t get every real number

[storm sage]

So it's no different from saying "the program arbitrarily approximates this real using finite loops"

Which is just a computable number

[maiden prairie]

I admit I'm wrong. It's kind of counterintuitive. I can't imagine a real number that would require an infinite amount of code to calculate

[storm sage]

Yeah it's extremely counterintuitive

But as an appeal to intuition

Imagine I just generated an infinite list of random numbers

Since it's completely random, there's no pattern or anything

So there's literally no way I could describe the real number to you besides just listing out all the digits

Which requires an infinite amount of space to hardcode

[tawdry radish]

hi uwu

[storm sage]

Most real numbers are like this, absolutely no structure in their digits

hey miru!

[maiden prairie]

It looks like you're right

[storm sage]

So it's really just the extremely extremely small subset of real numbers

Which are sufficiently "nice"

That we can even describe or study in a meaningful sense

[tawdry radish]

what yall doin?

[storm sage]

The real numbers are extremely bizarre

As are any other uncountable object

[storm sage]

homework x_x

[little vine]

having a beer

Bullshitting on discord

[tawdry radish]

poggywoggy

[little vine]

Hows

your art miru

your new ideas are clever

[tawdry radish]

it's goin! my shop drop is in 3 minutes

and i'm like

vibrating in nervousness LOL

[little vine]

i think there is a nontrivial subset of people who love your aesthetic so just relax

[tawdry radish]

i just doodled a sticker earlier

[little vine]

Tech support?

[neat frost]

You need more cute foxes mirup

[little vine]

ahahah yeah i saw that

[tawdry radish]

me as a tech worker

[little vine]

Its funyy

[tawdry radish]

whew

just doubled my shop inventory

[deep mango]

Foxes suck

No more foxes

[neat frost]

Ouchie wouchie!

[tawdry radish]

fox delivered

[solid snow]

Looks good

[deep mango]

Wow

[little vine]

HAHAHAHAHAHAH

That,s great

[deep mango]

Its literally slurp

[flat harbor]

good mormon chat

[deep mango]

Good morning blo

[flat harbor]

how arr u rice

[deep mango]

Uhh

[little vine]

we are all sister wives

[deep mango]

I have a little headache but otherwise im okay

[little vine]

and husbands

[flat harbor]

same

[deep mango]

I went to a cool conference today

[flat harbor]

wow... coolio

[deep mango]

It was about using psychedelics to treat mental illness

[zealous garden]

interesting

that's a topic of great interest to me

[deep mango]

It was super interesting

All about how like

[little vine]

oh dope

As in cool

[deep mango]

To understand the neurobiology and psychological effects

[little vine]

not as in heroin or something

[zealous garden]

no

[deep mango]

And how they are wielded in clinical administration

[zealous garden]

heroin is not a psychedelic

by any classification

[deep mango]

As in LSD, psilocybin (magic mushrooms)

[little vine]

Im aware

[deep mango]

And also mdma but thats not technically a psychedelic apparently

[zealous garden]

did they talk about ketamine or mdma psychotherapy

[deep mango]

One talk was totally about mdma for ptsd

[zealous garden]

ehh, some people consider mdma a psychedelic, and it's serotonergic like the others

but its character is altogether different

[deep mango]

Another was about psilocybin for depression and alcoholism, and another was about psilocybin for cluster headaches

Yeah they talked about the contention with classifying mdma

Cause like

It doesnt just activate 2A or whatever

Like the others do

It activates 2a but thats not the primary effect

[little vine]

2A is what?

[zealous garden]

it's weird. It's a phenethylamine closely related to numerous phenethylamine psychedelics like Mescaline and 2CB

[zealous garden]

Serotonin 2A

[deep mango]

Serotonin receptor

[little vine]

ah ok

[zealous garden]

a specific serotonin receptor

[deep mango]

I didnt know any of this stuff beforehand

But the conference was super good and accessible, though intended for the neuroscience students

[wooden flax]

so now do you know which drugs to take to do better math

[zealous garden]

also known as the 5HT2A receptor (5 Hydroxy Trypamine [Serotonin] 2A)

[deep mango]

They then served lunch

[deep mango]

Well

The sense I got was definitely that mdma was not relevant for math

[zealous garden]

pramiracetam and vyvanse

no, dexedrine

[tawdry radish]

added text to this one

[deep mango]

And that it has more of an empathetic / social effect

[tawdry radish]

and now... i sleep slumber

[deep mango]

Which is super interesting

Good night miru

[zealous garden]

mdma is often called an "empathogen" or an "entactogen"

because of how it lubricates social activity, facilitates feelings of trust and closeness, and can lower mental barriers

[deep mango]

I still have no idea if i have any interest in trying psychedelics but i did like learning about them more and understanding a bit of their neurobiology

Yes

[fair mural]

ryc

[little vine]

i used to use dxm heavily to self medicate

[deep mango]

The guy talked about how it has even been observed to reopen social reward plasticity pathways

[zealous garden]

the (re)discoverer of MDMA recommended it alongside 2CB taken immediately afterwards as a PTSD Psychotherapy

[little vine]

But it showed me all it had to show me

[zealous garden]

horrible idea

[little vine]

Available

[deep mango]

So that you can like, reset what your brain instinctively goes to for comfort in social spaces

[zealous garden]

I haven't heard that before

[deep mango]

This is very recent research

[zealous garden]

would you happen to have any resources you can share?

[solid snow]

That’s sick 👀

[deep mango]

Let me see if i can find the paper

[zealous garden]

understandable, I don't condone it, but I get it

[solid snow]

Has anybody who’s taken psychedelics here noticed any effect on their math after

Or is that just memes

[deep mango]

I think its this

https://www.nature.com/articles/s41586-019-1075-9

[zealous garden]

SWIM wasn't super into mathematics before trying, so they can't comment on the difference

[deep mango]

Anyway

Im mostly just sorta worried about hppd

[zealous garden]

I totally know what you mean

[deep mango]

At this point i think most of the internalized biases have melted away

[solid snow]

SWIM?

[zealous garden]

the upside is hppd seems to be unheard of outside of long time high dose users

[zealous garden]

Someone Who Isn't Me

[deep mango]

I still barely understand the mechanism of hppd from reading

[solid snow]

Oo i c

[zealous garden]

I don't think the mechanism is known at all

[deep mango]

Yeah that was what i was very confused about koto

All the studies focus on consistent users

Nothing comments on the relationship between prevalance of hppd and consistency of usage

So it's hard to tell if it's like

"5% of users will always get hppd symptoms even after one usage"

Or "5% of people will inevitably get it if they use it all the time, and you can get it immediately but the chances of that are very low"

Like

Geometric random variable or what

Idk

[zealous garden]

yeah like is it rolling a die every time?

[little vine]

What’s hppd?

[zealous garden]

or does it stack

[deep mango]

Exactly

[little vine]

Sorry if you said already

[zealous garden]

hallucinogen/hallucination persisting perception disorder

[little vine]

Ah ok

[zealous garden]

so you continue to have visual hallucinations and such after the drug has left the system

it is very rare, and again we only really know of cases in consistent abusers

[solid snow]

Can’t you develop schizophrenia from psychedelics as well?

[zealous garden]

no

there is no evidence to support that

if you have schizophrenia they might set it off

but there is a preponderance of evidence showing no link otherwise

[solid snow]

I see

[zealous garden]

even some studies showing weak (statistically insignificant) correlations saying lsd is correlated with lower rates of schizophrenia

[deep mango]

It feels very difficult to separate the fearmongering and mythology from the reputable literature

I guess that's why it's good that people are doing a good amount of research on this stuff now

[zealous garden]

Yeah

[little vine]

I feel like ketamine has been known about forever

[zealous garden]

cus there's not only the decades of hate and libelous propaganda, but there's the cut and mislabeled drugs, and lack of proper reputable research

ketamine has been known about for a while, it was derived from PCP to be used as an anesthetic in humans and animals (this is actually the same thing PCP was developed for)

ketamine replaced PCP, being much safer

[little vine]

Safer than other Nmda antagonists

Iirc

[zealous garden]

probably

I'd say it's safer than dxm

I'm interested to see what this new psychedelic research can do for our understanding of the human brain and psyche

[little vine]

Hm idk

[zealous garden]

dxm can cause serotonin syndrome

and I think dxm is toxic if not lethal in anesthetic doses

whereas ketamine psychotherapies for depression are available even in the US

if you can afford to pay a specialist to sit with you for the few hours

[little vine]

I feel like psychonauts have been around for a while , then again we’re learning more and more

[zealous garden]

I'm not (just) talking about psychonauts

I'm talking about the ability to do actual scientific research

with resources, funding, controls

[little vine]

Have they not done that a long time ago?

[zealous garden]

peer review

[tawdry radish]

[zealous garden]

They started doing it

then the war on drugs shut it all down

[tawdry radish]

I need to stop putting everything I draw on a shirt

[little vine]

Ah I see

[zealous garden]

one of my favorite quotes, can't remember who said it, is that the discovery of lsd should've been akin to the discovery of the atom, or DNA

[velvet dagger]

@tawdry radish too many good shirts?

[zealous garden]

but the war on drugs cut it all off

[velvet dagger]

Well that's probably excessive but yeah I see your point

[tawdry radish]

I'm just cursed with being able to make banger tees

[little vine]

I have never tried lsd but I want to. Felt the afterglow for a week after mushrooms

[zealous garden]

perhaps excessive

[little vine]

Not to trade drug stories

[zealous garden]

I want to go have an experience with a shaman

[little vine]

For sure

[tawdry radish]

brb ordering my own merch

is it narcissism? perhaps

[zealous garden]

it's not narcissism

that's a cool shirt

simple as

[little vine]

Why would it be narcissism

[tawdry radish]

owning my own merch LOL

[little vine]

You’re excited about your business

[zealous garden]

I was gonna say I do it too

[tawdry radish]

it's so content creator tm of me

[zealous garden]

but my ex has that hoody now

[tawdry radish]

oof

tbf I put my shop pins on my mom's work tote LOL

I used to sell a plain banana pin and it's on her bag now

one day my business will be strong enough to feed my hubby

[brittle socket]

[fair mural]

cute

[uncut socket]

@silver hawk I think that person in #help-26 blocked you, maybe that's why you are getting a response

[silver hawk]

hm yea prolly

[quartz geyser]

the best

[dusty wagon]

Anime is so fucking weird

[quartz geyser]

why

[dusty wagon]

Just look at the video

Song kinda cool tho

[tidal sigil]

Favorite anime of all time

[tidal sigil]

It’s really not a weird anime

It’s just taken out of context if you watched it you would understand

[dusty wagon]

What is the song name

[fair mural]

i agree

also this isn’t appropriate to post here

[tidal sigil]

I don’t care.

It’s not nsfw

[fair mural]

it actually is

[tidal sigil]

How so?

[fair mural]

it has nudity and gore

[tidal sigil]

Gore on a cartoon robot 😂

Are you a karen?

[deep mango]

Not a good answer

This is a math server

[tidal sigil]

She stated her opinion and I stated mine 💀

It’s not nsfw

Watch it

[deep mango]

Post deleted, keep anything that doesn't belong in this server out of this server please

Thank you

[tidal sigil]

It’s literally a discussion channel?

Wow, you are dense.

But alright

[deep mango]

Not here to negotiate

[tidal sigil]

Sure, but you’re dense and shallow

That’s it

[brittle socket]

Ah good ol' discussion

Classic

[storm sage]

I'm dense in the reals

[fair mural]

[storm sage]

Hint: I am the reals

[bronze wedge]

I am a superset of the reals

[storm sage]

I am not dense in you, unless you are the reals

Assuming the reals keep their topology

[tawdry radish]

https://tenor.com/view/anime-yawning-tired-sleepy-gif-15157910

I'm awake from my nap

[tawdry radish]

ur cringe

ok back to bed

https://tenor.com/view/anime-sleep-sleeping-sleepy-tired-gif-9340393

[brittle socket]

[maiden prairie]

Yesterday I came to the conclusion that I was wrong and the set of real numbers is uncountable. But still the set of definable real numbers is countable. That is, the set of all real numbers that can be imagined is countable. Very strange these undefined real numbers
||https://en.wikipedia.org/wiki/Definable_real_number||

I could not imagine that there are numbers that are impossible to imagine. The math is amazing

[tawdry radish]

if there's undergrad what's overgrad

[flat harbor]

stalingrad

[maiden prairie]

Leningrad

[tight comet]

Voevodskygrad

[small dust]

it's different for everyone so it's hard to say, but you can do it c:

[ripe wasp]

does this theorem have a name?

feel like it should, but "fixed point theorem" gave me a bunch of results that seem to be a bit more complicated than this simple statement

perhaps they generalize this statement?

[small dust]

it looks like the banach fixed point theorem

[ripe wasp]

ah i see thanks

[small dust]

the only thing that looks different is having f' but I think it's equivalent

in the real number case

[ripe wasp]

yeah that seems to be a general metric space case or smth smth banach space

which R is i guess

[inland drum]

which is a better college course? BS Mathematics or BS Applied Mathematics?

[woven whale]

applied math isn't real math

[surreal sapphire]

[alpine kindle]

[mint canopy]

This is cringe, illum

This is what we call cringe

[mint canopy]

There's really not a "better" one; it depends on what you want to do. I suggest you inspect what the curricula are and decide for yourself what you're interested in.

[eager reef]

cringe statement indeed illum

[steel cloud]

Guys help me out with this problem

[tight comet]

#❓how-to-get-help

also write out your thought process

[woven whale]

nonono but here me out

I had this convo with a classmate

because he said that pure math isn't real math because it's not useful in day-to-day things

[zealous garden]

Applied math is just impure math with cope

[solid snow]

This argument sucks for the majority of things

Most jobs and professions aren’t used “day to day”

For random everyday things

Nobody would ever pursue any career or anything if all they thought about was how it would help their daily every day activities

Which for the most part are things every human has to do

(It’s almost like STEM jobs make people’s day to day easier though with new technologies though and impact them in other ways)

[eager reef]

Just means you’re both wrong

[neat frost]

No they’re both right

Neither pure nor applied math is real math

Duh

[inland drum]

what is real math then?

[solid snow]

Counting and simple arithmetic

[arctic grove]

jee math obviously!

[sterile plaza]

volgograd

[fierce ether]

Takes?
https://www.scientificamerican.com/article/the-universe-is-not-locally-real-and-the-physics-nobel-prize-winners-proved-it/?amp=true
It's not math, but it's very interesting.

[fleet zinc]

I have a question, does anyone know how psat scores convert to a letter grade?

[steel sorrel]

Dont try that

Doesnt work like that

The scores are based off of how you do compared to other people

[vivid halo]

good article, and yeah the result is nice

[fierce ether]

Wth is happening?
Some crazy idealist shit, probably.

[vivid halo]

so I mean the result is establishing very robustly that the world (in this context: entangled photons) behave in the way that quantum field theory predicts

no hidden variables

that's a good thing

[ionic star]

so something only brave people doubted

[fleet zinc]

So what if i get 80% of the test correct, what does that mean?

[steel sorrel]

That just means that you did 80% of test correctly

That has no reflection on the difficulty of the test

Nor is it accurate to pinpoint a specific letter grade that your score reflects

The sat/psat scoring is a different beast than the typical letter grades you get throughout high school, unless you have courses that are based on a curved system

For exampl, at my high school all computer science classes are based on the curve

So even though the averagr scores for tests and quizzes are near 30-60%, the average letter grade received is a B

I mean, you could fixate on converting your psat score into a letter grade through conversions thar can be found online, but overall i wouldnt recommend that you do that

[fleet zinc]

Does the B mean the percentile?

[steel sorrel]

No, the B for us means semester grades

Or whats counted for gpa calculations if that makes sense

[fleet zinc]

Ok so if I got an 80, does that mean i would not get 1216?