serious-discussion

[deep mango]

Really

[dire flicker]

i doubt searle took that point into account

[granite crag]

yes

[deep mango]

Hmm

[granite crag]

I mean it's important though

It's the difference between multiplying two numbers and looking up values in a multiplication table.

In order to be able to multiply any two arbitrary numbers we would have to know the rules. Otherwise there will necessarily exist a set of numbers we can't multiply.

[neat lintel]

here we are

[granite crag]

There will be a counter-example without knowing the rules

[neat lintel]

been looking for you guys where have you all been??

[dire flicker]

this is a good example to use. the person in the experiment just looks up the value in the multiplication table so we can't really say the person is able to multiply two numbers.

[granite crag]

ok

then they can't multiply all numbers

[neat lintel]

...

[granite crag]

If they've somehow memorized an infinite table, then sure, they understand it

but no computer or human can do this

[dire flicker]

we can meet irl at some math class once uni starts probably

[fresh comet]

I'm trying to meet some more people next year, so that would be nice lol

[neat lintel]

anyone in boston area?

cambridge

[dire flicker]

(i like meeting ppl in real life dc is too anonymous)

[granite crag]

I mean this is even true formally, a multiplication morphism can be represented as a product relation.

In category theory we can represent morphisms as objects

[fresh comet]

[granite crag]

Ok, then ask a big picture question and they won't be able to answer it.

[deep mango]

Im not sure how trying to write it down with categories helps me to see your claim that "understanding multiplication" and "being able to answer any multiplication problem correctly" are the same

Is this some silly yoneda lemma application

[granite crag]

I think so?

[deep mango]

Right, thats why i am kind of not sure how to refute your point yet

But im thinking!

[granite crag]

I don't have a good enough understanding of category theory to be precise but it seems to be relevant here

[deep mango]

Brain functors...

[granite crag]

Yes

Consciousness is a just a something functor in the category of whatever such that I don't know

[neat lintel]

this is an advanced topic

[deep mango]

Iirc searle cares a lot about stuff like "emergent phenomena"

And chinese room was like, an example to target a very specific distinction in understanding the emergent phenomenon of consciousness

But not sure

[granite crag]

Ok

Yeah I genuinely don't understand the opposing position so I wanted to talk to someone who mostly agrees with Searle lol

[deep mango]

(Emergent from a series of perceptions, known facts, and logical/emotional rules)

[neat lintel]

consciousness is the fundamental reality, and our perceptions of the physical world are merely adaptive interfaces created by evolution rather than accurate representations of an objective universe.

[granite crag]

We're talking about The Chinese Room #serious-discussion message

Not sure about consciousness being fundamental, sounds like theism

[deep mango]

Yeah i mean this is one existential interpretation of chinese room but not really what searle cared to communicate

[neat lintel]

interesting

[mortal valve]

i skraight up don't get the point

is it like a the sum of all parts != the whole thing

[granite crag]

That's my point

[mortal valve]

right

very aristotelian i think

in language learning every component ie a word is almost immediately viable as functional

even if u just understand 1 word u can still quote unquote use the language

[mortal valve]

cool beans

i killed chat 💀

[neat lintel]

"turing machines are the fundamental reality, and our perceptions of the physical world are merely inputs"

[eternal mesa]

My Father shared this video about how evolution is mathematically unlikely

https://youtu.be/noj4phMT9OE?si=vnqgbsaBh-psfAhi

Was wondering what you guys thought?

[fresh comet]

bogus

[solid snow]

doesnt matter if its "unlikely" by any measure if it happened

[fresh comet]

[fair mural]

[fresh comet]

what's with the sully

[fair mural]

sullying the useless comment

[deep mango]

Quantums josemom folder when

[granite crag]

Professor Dave Explains has a good debunk on those guys

[granite crag]

Talk Origins is also a good resource if you want to learn about evolution

Evolutionary biology is one of the few fields where we can formally define maximum parsimony

Since it involves graph theory

[granite crag]

It's even more unlikely to observe the distribution of genetic markers we see without common ancestry.

[solid snow]

lol what

[charred shell]

hi

[fresh comet]

hi

[sonic flame]

hi

[wooden pelican]

hi

[neat lintel]

hi

[dire stump]

hi

[fallen mango]

Thoughts on r feinstein

[mortal valve]

all u had to say was hi bro

hi

[wild lantern]

hi

[dire stump]

hi

[neat lintel]

hi

[fresh comet]

hi

[steel vessel]

hi

[small dust]

hi

[patent quartz]

hi

[verbal karma]

hi

[neat lintel]

hi

[tidal vector]

hi

[mortal valve]

hi

[jovial ember]

hi

[raven plaza]

hi

[steel vessel]

hi

[mint canopy]

hi

[old sequoia]

hi

[jagged forge]

bye

[steel vessel]

u had one job

[jagged forge]

my job is to make everyone mad

[steel vessel]

someone is grumpy

[jagged forge]

actually im very pleased with myself

[steel vessel]

then u are a hater

[jagged forge]

https://tenor.com/view/my-goals-are-beyond-your-understanding-reverse-flash-eobard-thawne-the-flash-gif-16637212

[steel vessel]

THE EMOTE GOES CRAZY

U smug mf

[unkempt timber]

what future careers possible in the era of chatGPT

[sick finch]

AI engineer

[verbal karma]

claude developer

make it claude era

[unkempt timber]

true

people who are upgrading AI ,creating versions

[unkempt timber]

how

[dense oracle]

Hola

[granite crag]

Hola

[neat lintel]

Hola

[sonic flame]

Hola

[light olive]

Hola

[red bloom]

Hola

[bright hill]

hOLA

[solid yarrow]

hola

[fresh comet]

Hola

[deep mango]

Hola

[trim coyote]

Hola

[south kelp]

Hola

[north ferry]

Hola

[neat lintel]

hola

Hola

[verbal karma]

Hola

[steel mantle]

Hola

[graceful flower]

Hola

[ocean harbor]

henlo

[wise patio]

Hola

[old sequoia]

bye

[neat lintel]

the door 🚪👈🏼🫵🏼

rn

[small dust]

wtf

[small dust]

wtf

there is nothing funny about this laisles

it doesn’t make up for unfunny caused by chums interrupting chains

@jagged forge don’t do this again or consequences

[latent edge]

https://media.discordapp.net/attachments/870730483598782487/1144677326228045914/cat.gif

[small dust]

hi delty

[jaunty ibex]

hi delty

Delty has been reacting and sending random stuff

[small dust]

hi vero

[latent edge]

$\prod_{\substack{p | n / \delta \ p \nmid d / \delta \ p \nmid d_1 / \delta \ p \nmid d_2 / \delta \ p \nmid d_3 / \delta \ p \nmid d_4 / \delta }} \left( 1-\frac{1}{p} \right)$

[fathom swallow]

Deltoid

[jaunty ibex]

Analytic number theory

[jagged forge]

ah, that’s the deltoid i know

[jaunty ibex]

Hi layla

[fresh comet]

[jagged forge]

capital sigma/pi with at least 5 lines below it

[latent edge]

mfw the python code of these long lines are nested if statements

[jagged forge]

ew

[latent edge]

The results turns out to be just a number

Too lazy to compute by hand so I decided to let me python code do it

[white temple]

we've evolved from cursed sums to cursed products

[latent edge]

Every product is a sum in disguise

Just log

"Just log"

• A wise man

[white temple]

https://tenor.com/view/fnb-get-this-man-a-true-gif-25257480

[vocal vessel]

https://tenor.com/view/epic-embed-fail-ryan-gosling-cereal-embed-failure-laugh-at-this-user-gif-20627924

Nope

[white temple]

true, i am stuck eating the cereal please let me out of the time loop

[coral terrace]

ryan gosling

[runic jasper]

https://tenor.com/view/fail-meme-epic-embed-gif-21855556

bro💀

[ocean harbor]

https://tenor.com/view/geometry-dash-embed-fail-stereo-madness-fail-gif-22801331

[runic jasper]

i failed embeding an embed fail meme i cant belive this

i have become the thing i was making fun of

[runic jasper]

based gif tho ngl

[ocean harbor]

ofc it is

since its geometry dash

[ocean harbor]

if you already finished middle school math or alg 2

I mean 1

yep

I think there's also basics trig

iirc

calculus takes about 20 days

precalc is shit but its cool if you used calc

depends

you can

if you want try doing 2 hours per day or smth

you can

just take your time lol

¯_(ツ)_/¯

precalc

[brisk ridge]

Idk just watch khan acadamy (approved btw)

[brisk ridge]

Wait you fluent in 4 languages? (I just added english for obvious reasons )

[ocean harbor]

only 3

english doesn't count

[brisk ridge]

How ur talking it

[ocean harbor]

because im learning

[brisk ridge]

Well idk but how did you learn others like

And why those languages its kinda weird ngl

[ocean harbor]

which

[brisk ridge]

Like people learns Spanish Russian idk

[ocean harbor]

ah

[brisk ridge]

But you have arabic, turkish and idk what it is lol

[ocean harbor]

I think thats quite normal

[brisk ridge]

How

[ocean harbor]

the first one is turkmen

[brisk ridge]

Ah alr

[ocean harbor]

turkmen is basically turkish+arabic together

[brisk ridge]

Wait they live in northern iraq right

[ocean harbor]

im not good at geography

I believe they're not in iraq

[brisk ridge]

Idk 2 million people was living in northern iraq and they call himself turkmen so

[ocean harbor]

cool

[brisk ridge]

I mean i would like to learn russian myself

[ocean harbor]

I wanted to learn Fr*nch in canada and realized its cringe

so they taught me English instead

[brisk ridge]

Lol

[ocean harbor]

do you think my English skills are good enough?

[brisk ridge]

Yea sure

[fresh comet]

yes

[brisk ridge]

Whats ur elo in chess btw

[ocean harbor]

100

[fresh comet]

your English might even be better than mine

[ocean harbor]

[brisk ridge]

There was a dude called William james sidis and he was able to learn a new language like in 4 days or so

Thats crazy

He even invented his own language

[ocean harbor]

nice

[brisk ridge]

Yea he was going to harvard at 11 i think

[ocean harbor]

I tried to make a language for myself too but then I quit

[brisk ridge]

Bro was boosted at cognitive skill lol

[brisk ridge]

Xd

[ocean harbor]

#discussion message

https://cdn.discordapp.com/emojis/1126345760515039334.gif?size=48&quality=lossless&name=stareA

[vagrant mantle]

what makes someone good at math?

[neat lintel]

by definition someone is good at math if their last name is "tao" and especially if their first name is "terence"

[modest nacelle]

during birth invest points into intelligence

[vagrant mantle]

no no like how do you measure it

[vagrant mantle]

that's a good measurement tho

[thick yacht]

You should read "Counterexamples in Human Naming".

[modest nacelle]

you can't measure how good someone is at math as far as i know. You could make up a new way to measure it, for example: amount of scientific papers published in math, but it would be inaccurate. You could also measure intelligence scores, but they wouldn't indicate high math-skill. in short, i don't think it's possible

[neat lintel]

i mean it was a joke

one time someone named one of their kids winner and the other loser

winner was sent to jail for 20 years or smth

and loser became a successful businessman

[thick yacht]

That book is also a joke.

[neat lintel]

oh

[covert oracle]

Meth

Or ketamines

The second option was used by at least one avid problem solver

[vagrant mantle]

i feel like ketamine would make me too zoned out

[covert oracle]

I think it's pretty subjective

The end result of being good at math

[vagrant mantle]

true

[covert oracle]

If you can visualise categories, then you're in pretty good spot

Or manifolds

[vagrant mantle]

man that's a trip

[thick yacht]

I think Terry Tao mentioned something about not watching television as an aside in an interview.

[covert oracle]

Dude actively played games

[thick yacht]

Video games may not have the same effect as television shows.

[covert oracle]

Oooh that's actually reasonable

TV shows back then used to be good

Now, it's just trash

[thick yacht]

Video games are mentally more active and television shows are mentally more passive.

[covert oracle]

Even sci-fi stuff has been relegated to the cliched History TV 18 ALIENS LIVE AMOGUS studf

I think every mathematician who has made it in their lives would agree to have been thinking only about math for a duration of time

So to a certain extent, getting better at math certainly involves doing more math

Me personally, i can see why

If I don't do math for even a day, i develop brain fog

[vagrant mantle]

given a person who can comprehend math faster than another person. would that person who could comprehend math faster be "better" at math?

[covert oracle]

No

[vagrant mantle]

comprehend could mean, for example, able to read a proof then apply it immediately

[covert oracle]

Mathematicians are a slow breed

It's weird but most of the math people I have met, are really slow

There's a point to which you can show off quick comprehension skills

[vagrant mantle]

huh

that's fun think about

[vast wraith]

eyyy twinning

[jagged forge]

i’m just like him fr fr

[covert oracle]

Imagine getting noscoped by Tao

[jagged forge]

damn

imagine the trash talk

he talks kinda fast

[covert oracle]

I'm in for the mudslinging

Bro was the OG packgod

[jagged forge]

lmao

[ocean harbor]

I was 14 back then hbu

[vast wraith]

16

[ocean harbor]

[vast wraith]

i didn't get much past the phonology

i set up a very long wish-list of grammatical features, lol

actually i may still have my notes for it around somewhere

[ocean harbor]

https://media.discordapp.net/attachments/464043528746565652/859226287838724096/image0.gif

[vast wraith]

unfortunately they're in norwegian

i've no idea why but i was very hung up on having palatal plosives

[thick yacht]

Hungarian has them; some Swahili speakers have them.

[vast wraith]

lovely

[thick yacht]

And they're are common in Australian (although they usually just have /c/).

[steel vessel]

LIGHT

[fresh comet]

DARKNESS

[covert oracle]

A linear combination of both

[fresh comet]

a vector space consisting of light and darkness sounds cool

[covert oracle]

Hmm

That's literally GF(2)

[fresh comet]

F_2?

[covert oracle]

Yep

[fresh comet]

[covert oracle]

[fresh comet]

I'm not used to Galois field notation

[vivid halo]

GF(q) is silly notation

[covert oracle]

It's non-standard ig

[vivid halo]

it's standard in like cryptography

but not anywhere else

[fresh comet]

what notation do you like

[covert oracle]

I was forced to look it up when I found it in a linalg problem book the first time

[vivid halo]

$\mathbb{F}_q$

[fathom swallow]

nGroupoid

[vivid halo]

this is the standard notation everyone uses

[covert oracle]

True

Unless they're working in p-adic

[vivid halo]

what

[covert oracle]

Hi

[vivid halo]

$\mathbb{Q}_q$ is standard notation for unramified extensions of $\mathbb{Q}_p$

[fathom swallow]

nGroupoid

[covert oracle]

I forgot the notation for the p adic field extension of Q

Damn

It's been some time since I read a footnote that discouraged some notation

[vivid halo]

you're probably thinking of $\mathbb{Z}_p$

[fathom swallow]

nGroupoid

[vivid halo]

a lot of people use this to denote the cyclic group of order p which is bad

[covert oracle]

AH

LMAO

[vivid halo]

because this is standard notation for the p-adic integers

[covert oracle]

Yes

I messed them up

Which is fair, because it's 5 am here

[vivid halo]

valid

[fresh comet]

why are you up

[covert oracle]

Doing math

[fresh comet]

when are you defending? @vivid halo

I forgot

[vivid halo]

on the 28th, in like a week

[fresh comet]

I see

[vivid halo]

I need to finish the bibliography stuff ugh

[fresh comet]

good luck!!

[vivid halo]

thank you

I also need to prepare my talk

but that should be easy

[fresh comet]

[warm yoke]

Hey, i’m 19 years old and i’m failing Intermediate Algebra in my summer course. Should I drop out?

[fresh comet]

no, but you should ask yourself why it is happening?

maybe you aren't studying hard enough, or maybe you are but just aren't grasping the concepts

which is it?

[warm yoke]

Both

Ok, i’ve been unmotivated

It’s discouraging to have to take Intermediate Algebra as a 19 year old

[visual breach]

Happens a lot with math

Since once you start lagging behind, you cannot just skip intermediate stuff

[dusk sinew]

what happens if u drop out

[uneven tinsel]

You become life experience collector

[raven plaza]

What's intermediate algebra

[north topaz]

which algebras are you working with, group algebras, algebras of functions, non-associative algebras....

[raven plaza]

All algebras are nonassociative algebras

Like how all manifolds without boundary are manifolds with boundary

[jagged oriole]

it's funny to me how "manifold with boundary" is not a manifold

[visual breach]

Maybe algebra over endofunctor

[raven plaza]

Some of them are

[jagged oriole]

ok but like in normal speech when I say "Orange with a peel" that is a strict subset of "orange"

[raven plaza]

Mathematician
Normal speech

[static loom]

speech that is the kernel of homomorphism 🧐

[vast wraith]

what is a homomorphism from speech

[raven plaza]

It is a known result that the information complex under transmission
… → information → information → information → …
factors as short exact sequences
0 → information -processing→ knowledge -communication→ information → 0

In particular transmission² = 0

[vast wraith]

i assume this stems back to Shannon

[raven plaza]

The stems back to legendary mefefetitian Arxetex

[vast wraith]

my grandma is so sweet when i heart-react a message she always immediately repeats the gesture on the same message

[placid wedge]

this server avatar is noice

[vast wraith]

it quite swag

hope it’ll stay past june

[uneven tinsel]

Yes

[placid wedge]

oh

[dim mantle]

Pride month is almost over unfortunately

[old oak]

Every month is pride month in this server

[kind steeple]

hi guys i am from 10 grade any good books to intrudoction to analytical geometry?

[finite flare]

hey

I'm at the same grade too

[finite flare]

.

[nova crane]

F (x + 1 ) = ( x - 2) then what is x²

[old oak]

42

[eager geode]

Hello, friends! I have prepared a video about line equation. If you’re interested in brushing up on the basics, feel free to check it out 🙂

https://youtu.be/SjnJZ9ZBhGA?si=7uSrFbb4IkFkZ9ap

[whole heart]

copy pasting my message from the other discussion channel: Hey guys, is there a good physics discord (or irc/xmpp/matrx/whatever) server that doesn't require you to verify your account with your phone number?

[manic oasis]

whats 1+1

[crude forge]

if you find one tell me , any server , even with verification

[whole heart]

don't know any :(

i joined this one server a while back but it required phone number verification so i just quit

[fresh oracle]

3

[obtuse osprey]

Actually 5

[fresh oracle]

no its 11

[obtuse osprey]

1+1 but then you multiply both by 2 since there are two then it's 4, then you add one

[obtuse osprey]

It's 121

[fresh oracle]

na its 0

[obtuse osprey]

1+1 goes to 11 then since there are 2 ones, square it to get 121

[obtuse osprey]

It's i

[fresh oracle]

[obtuse osprey]

Cause it's 1+1 then -3 then you get the square of that

[fresh oracle]

[obtuse osprey]

Dude

I was in 8th grade (just finished middle school)

And I was the best at math

Now I gotta go to highschool

[fresh oracle]

am not

[obtuse osprey]

And there are gonna be kids who are better than math than me

[obtuse osprey]

Within my 8th grade at the school I went to

While everyone is struggling on square root

[fresh oracle]

[obtuse osprey]

I was messing with complex numbers

[fresh oracle]

[obtuse osprey]

I'm gonna miss having bragging rights

I'm gonna have to earn them back

[fresh oracle]

kurisugoodjob

[obtuse osprey]

Back to what I was saying

No image perms

emoji evaporating gif

Finna do math over break

Make sure my mind is sharp for when I get back to school

[thick spruce]

dude hilbert was a fucking gigachad

favorite mathematician I think

"some people have a mental horizon of radius zero and call it their point of view"

[fresh comet]

LOL

[visual breach]

Maybe Hilbert gained popularity through slanders

[gentle stone]

Quick question. I enjoy mathematics. But I’m still terrible at it. I only get Bs and Cs. But I’m in mechanical engineering. I don’t like it and I’m terrible at it. Should I switch to mathematics. The versatility of the degree is a big + for someone as lost as I am.

[static loom]

yolo idk

[uneven tinsel]

I was in the same situation then I switched to Advanced Strategies in Avoiding Responsibilities, got A+

[finite flare]

hey

morning guys

[uneven tinsel]

print("Good Morning")

[vast wraith]

For like as ships amids the Seas that scant of ballace have,
Doe reele and totter with the wynde, and yeeld to every wave:
Even so the Waine for want of weight it erst was wont to beare,
Did hoyse aloft and scayle and reele, as though it empty were.

Ovid flexin his hydrodynamics knowledge

[verbal karma]

Error on line 1: print is not defined.

[north topaz]

I'll fprintf your ass

[verbal karma]

why you want to print my ass into a file?

[verbal karma]

ryc woke up just to react to that

[north topaz]

hi ryc

[deep mango]

Wake up in the morning feeling like p diddy

[north topaz]

morning it's early

[deep mango]

,ti

[fathom swallow]

The current time for rycgull is 06:51 AM (EDT) on Sat, 22/06/2024.

[deep mango]

I woke up at 6:10

Ive been doing the phone rounds

[north topaz]

on the weekend?

[deep mango]

Now I should get up

[deep mango]

I almost woke up at 5, im lucky i got back to sleep again for an hour

[north topaz]

😭

[deep mango]

But that 5-6 sleep

Was baaaaaaad

Oh that was bad

Anyway, i should just get up and get my blood flowing

[plain python]

math prof when i say mathematics is an art 😃
and art takes time 👿💢 (i need 10 hours to finish the discrete math exam)

[verbal karma]

I mean... yes. Math takes time to solve.

[uneven tinsel]

Please tie up the paws of this cat before it sends any other message and orders catnip from amazon

[verbal karma]

any other message

[burnt ledge]

grab my glasses im out the door im gonna hit the city

[uneven tinsel]

[verbal karma]

you can't stop me. This world is mine

[uneven tinsel]

Wait till I become admin, I will ban you from entire discord

#PawsOffOurPlanet

[vast wraith]

😭

[ocean harbor]

https://tenor.com/view/geometry-dash-gd-goodbye-chat-goodbye-chat-gif-25814849

[north topaz]

ryc is secretly a YouTuber with over a million subs

[vocal vessel]

Can I be one of ryc’s subs?

[deep mango]

One of my what?

[north topaz]

I exposed you

[north topaz]

subscribers

[deep mango]

Whys that me

[vocal vessel]

Yes. Subscribers. 😁

[blazing pawn]

This guys energy is violently different from rycs

[odd narwhal]

That looks nothing like ryc

[raven plaza]

Violently different is a non-symmetric relation on the set of people

[whole heart]

Hey guys, is there a good physics discord (or irc/xmpp/matrx/whatever) server that doesn't require you to verify your account with your phone number?

[latent edge]

phone number verification is brutal

[whole heart]

yes

I hate it on principle

[pulsar finch]

can someone explain what a norm is in a v space in a nutshell

[peak tide]

generalization of the notion of magnitude

(e.g. usual euclidean length of a vector in R^n)

[pulsar finch]

okay, and what is a hilbert space and how does the norm relate to that? what would be the difference between a hilbert space and a vspace

[peak tide]

it's a specialized version of a normed space

you have the following sequence of specializations:

vector space ⊃ normed space ⊃ inner product space ⊃ hilbert space

a normed space is a vector space with a norm

an inner product space is a vector space with an inner product (which generalizes the dot product)

a hilbert space is an inner product space which is complete (no "gaps", every cauchy sequence converges)

not listed in that chain is a banach space, which is a normed space which is complete

[tribal slate]

wheres off topic

#off-topic

[fresh comet]

#chill might be what you're looking for

[tribal slate]

oh yeah

[topaz trout]

How do I know which major is right for me. Engineering or Math

[empty stratus]

A normed vector space is a vector space with a notion of length. An inner product space is a vector space with a notion of angle. A Hilbert space is a vector space with both a notion of angle and a notion of length, and so that these two concepts interact with one another in the way they do in everyday life.

[raven plaza]

Inner product spaces have length

[empty stratus]

No, that's only if you also make them normed using the norm induced by the inner product.

For example, the space of continuous real-valued functions on the closed unit interval has:

<f,g> = ∫f(x)g(x) dx

as an inner product.

[raven plaza]

Having angles but not length would be more like "conformal space"

[empty stratus]

But that induces the L^2 norm, rather than the supremum norm.

[raven plaza]

It's still a norm

The difference between Hilbert space and inner product space is you have a limit operation

[empty stratus]

Every inner product induces a norm.

[raven plaza]

(that makes it complete)

[empty stratus]

However, some normed spaces admit inner products which do not induce their norm.

A priori, the definition of an inner product space does not require nor mandate that the space have a norm.

[raven plaza]

But that's cuz those are two structures

[empty stratus]

My point is, the data "let V be an inner product space" does not mean that V has a norm, and thus, that V has a notion of length.

Inner product space ≠ normed space ≠ normed inner product space

[peak tide]

how does an inner product induce an angle if you don't use the norm associated with the inner product?
cos(theta) = <a,b> / (|a| |b|)
only works if the norm is the one associated with the inner product

[velvet dagger]

So on paper nothing is stopping you from taking an inner product space, ignoring the obvious norm, and considering another (or just refusing to do anything involving length)

But in practice this is not a thing people do

[raven plaza]

Is there some notion of normed Hilbert space with two compatible structures

That isn't just "this linear bijection between two structures is continuous"

[bronze crystal]

hi kai

[fervent oyster]

hellooo

[bronze crystal]

either that or it's the server

can you see this

yeah one of my sentences just didnt send

[fervent oyster]

yeah

oh

[bronze crystal]

anyway i'm curious why glorify

[fervent oyster]

so, when I say glorify, I mean honor

like to the highest possible degree

[bronze crystal]

like bow down and worship or just explore and find things that God has touched and to appreciate them

or something

[fervent oyster]

both

[bronze crystal]

understanding god?

so like discovery kind of

[fervent oyster]

like growing a relationship with Him?

[bronze crystal]

ah

yeah that makes sense

[fervent oyster]

that could be part of it too

also I appreciate you capitalizing His name 😁

[fervent oyster]

up here

[bronze crystal]

no problem i'm not religious but i'm open to the idea of a god too

[fervent oyster]

ohh

did I answer your question?

[bronze crystal]

yes

[fervent oyster]

awesome!

would you like to know more about God? i’d be happy to answer more questions (if im able of course, i’m still what some would call young in the faith)

[bronze crystal]

is there a good reason to believe in Him

other than like self-improvement and balancing out yourself

[fervent oyster]

of course!

many, really

[bronze crystal]

like just the bible trips me up a lot

[quasi jackal]

ok

ok so

[hazy elbow]

discussion 2 why does it matter

[bronze crystal]

because you aren't supposed to take it as fact

[fervent oyster]

what do you mean?

[quasi jackal]

cuz less busy here

[hazy elbow]

is this just more quiet

ohh ok

[quasi jackal]

anyways

[fervent oyster]

hm?

[quasi jackal]

back in august 2023 i entered a new hs as you know

[bronze crystal]

like the universe was created in 7 days it says

[fervent oyster]

oh, okay

[quasi jackal]

and in us history class we did intros

[bronze crystal]

what things am i supposed to take literally

[hazy elbow]

nono like doge said move here frok #1 for storytime

[bronze crystal]

and is there a reason why things are figurative

[fervent oyster]

ohh, okay

[quasi jackal]

and this girl captured my heart as soon as she said that her favorite era was the romantic era uwuwuwuwuwuwuw

[hazy elbow]

okay icebreaker

[fervent oyster]

yep! there’s a verse about that! I’ll find it now

[hazy elbow]

what😭😭😭

[quasi jackal]

yesss

she looks really nice

[hazy elbow]

what does this even mean

[quasi jackal]

romantic era was a very important era for literature and music

in the 1800s

[hazy elbow]

i never heard of

[quasi jackal]

L

anyways the semester passes by and we dont speak much

since shes in a different group and such

[bronze crystal]

i hater the romantic era

very poopy

[quasi jackal]

but whenever i saw her sititng somewhere i'd try to sit close

[quasi jackal]

cap

then spring semester arrived

[hazy elbow]

wait ke me get a charger keep going

[quasi jackal]

ok

then in around february we had the opportunity to send some goofy aah valentines with candy anonymously

it was funded by the school's leadership club

[fervent oyster]

I found it: Matthew 13:34-35

[quasi jackal]

so obviously i sent one to her

[fervent oyster]

i’ve also heard seven steps, but I haven’t looked into it very much

[bronze crystal]

that's from the bible though

[fervent oyster]

right

are you looking for a scientific reason (or something similar)?

[bronze crystal]

idk this all is very confusing

[quasi jackal]

then more time passed and it was february 27...since it was soon to be leap day and it was still the month of romance, i decided to do something dumb like bigtime dumb

[bronze crystal]

partly

[fervent oyster]

that’s understandable

[fervent oyster]

okay

[bronze crystal]

i'm trying to make my knowledge compatible with God if i do some day believe

[fervent oyster]

okay that helps me a lot that you’ve said that

what knowledge do you have that might conflict with God?

[bronze crystal]

well uh

[fervent oyster]

i’m not going to condemn you for it

[bronze crystal]

like i don't believe the Universe only popped into existence 2000 years ago

[hazy elbow]

ok im back

let me read

[fervent oyster]

ohh, okay

I hear that a lot

[bronze crystal]

because my chinese ancestors definitely existed before that (or so i currently believe, anyway)

[quasi jackal]

ok starts here

[hazy elbow]

friednd group u meAN? or in class in gen eral

[fervent oyster]

I see

[quasi jackal]

oh like both friend group and class group

in history we split up into groups

[hazy elbow]

straight outta tv show ahh bs

[quasi jackal]

ikr 😭

[fervent oyster]

so, I will tell you that im not as knowledgeable in this subject as others

[quasi jackal]

i actually had to beg for them to make it anonymous lmao

[fervent oyster]

but I can ask my more knowledgeable friends about it!

[hazy elbow]

whatd u even write in the note

[quasi jackal]

nothing because i was too anxious

[bronze crystal]

alright its fine though

[quasi jackal]

i just inserted a heart shaped paper in it

there was a bag of candy

that was the candygram 💀

[neat lintel]

The universe popped into existence when I was born

[hazy elbow]

u got her candy

[quasi jackal]

aye

[hazy elbow]

or it came w cand

[bronze crystal]

if im being honest i'll probably live in a perpetual state of being on the fence that there's a God

[quasi jackal]

essentially it was candy with optional note

that was the whole valentine

[hazy elbow]

ohhh ok

and then

goo on

feb 27

[quasi jackal]

ok ok

feb 27

so i drew a drawing

[fervent oyster]

okay! they’d be happy to help

[quasi jackal]

of a lake in the night

and i wrote a poem on the back of the drawing

[fervent oyster]

i’ll pray about it!

[quasi jackal]

and i folded it and put it on her desk before history class started

[hazy elbow]

so artsy

[quasi jackal]

i made sure i was the first one there so no one would be a witness

[hazy elbow]

did u sign it

[quasi jackal]

i signed it "6.1-16"

[hazy elbow]

uhh but then theyd know u left it

if ur th rfirst one there

[quasi jackal]

the numerical representation of my initials

[quasi jackal]

cuz i was still being anonymous

[hazy elbow]

😭NERD ASS

REFERENCE

[quasi jackal]

ikrr

[hazy elbow]

ok then what

[quasi jackal]

ok then since it was a work day and the teacher wasnt lecturing

she freaking asked the teacher

she read the poem out loud

and said "do you know who left this??"

[hazy elbow]

brooo why couldnt she jus keep it to herself 😭

[quasi jackal]

she said she thought it was for someone else 😭

[hazy elbow]

did u get ratted out

[quasi jackal]

but the teacher said nobody forgot anything from the previous class

[quasi jackal]

no i dont think the teacher knew lmao

[hazy elbow]

uh ooohhh

did u sign her nqame on it??!

[fervent oyster]

do you have any more questions?

[quasi jackal]

i did but really really really small

[hazy elbow]

thats crazy tho

what a yapper

[quasi jackal]

ikr the whole time i was trying to keep my mouth shut in my desk

[quasi jackal]

mhm

[bronze crystal]

nah no more, thanks for your time kai

[quasi jackal]

so anyways class ended

[hazy elbow]

headphones on n look at phone type of day !

[fervent oyster]

okay, just let me know if you do!

[quasi jackal]

me and my goofy aah friend who was in on the plot asked her "d'yknow who it is"

[fervent oyster]

you’re welcome :D

[quasi jackal]

absolutely

[quasi jackal]

and she said "no"

and i said "well...i think i might know who wrote that"

[hazy elbow]

lmfaoaooa

[hazy elbow]

uh oh

[quasi jackal]

and with that i ran the heck out of there

then a few weeks pass and nothing eventful happens

but then...in march 8th....

[hazy elbow]

...like taht was the end of it

[quasi jackal]

ye for that day specifically

but then on march 8th we had an all school meeting

[hazy elbow]

u didnt say who it could have been

[quasi jackal]

no hell no

[hazy elbow]

did she ask

[quasi jackal]

no

but wait till i get to march 8th

[hazy elbow]

okay go on

[quasi jackal]

ooh boy march 8th

anyways

once we were leaving the meeting room

she walks up to me and asks "would you like to be part of the engineering team at a local competition?"

[hazy elbow]

the way u rmr specific dates

[quasi jackal]

mhm

[fervent oyster]

i do that too

[quasi jackal]

apparently the hs had banded together all the nerdy kids for a fancy engineering competition

[hazy elbow]

wowza

[hazy elbow]

i onyl rmr specifc days someone important did/said smt special or shi lkike that

[quasi jackal]

so she invited me because i wanted to be a math major and i had to be pretty smart for that

[hazy elbow]

like days i meet special ppl

n etc

[fervent oyster]

ohhh

[hazy elbow]

is she enrdy

[hazy elbow]

oh

[hazy elbow]

nerdy

[quasi jackal]

100%

nerdier than i am

[hazy elbow]

oh

wow..

[fervent oyster]

I remember that the Soviet Union dissolved on December 25, 1991

[hazy elbow]

and this is attractive to u

[hazy elbow]

oh!

[quasi jackal]

so then we sat down on a table outside and signed up for the competition

[quasi jackal]

mhm

[fervent oyster]

Chernobyl disaster happened 4/26/1986

[hazy elbow]

u remember like u lived thru it

[fervent oyster]

lolol

[hazy elbow]

wowowow

[quasi jackal]

and then after that i asked "did you ever figure out who wrote that poem??"

and she said "no, do you know who it is?"

[hazy elbow]

bro why would u ask again 2 weeks later LMFAOAOOAOAOA

[quasi jackal]

lmao cuz i was ready to confess that day

[hazy elbow]

she obv wouldnt have asked if she asked u for the thing

ohhh

okay

[fervent oyster]

MLK was assassinated 4/4/68

[quasi jackal]

anyways

i proceed to read the poem out loud while she pulls out the paper from her backpack

[hazy elbow]

this is taking u a while r. u sureur not googling this stuff

or chat gpt

[quasi jackal]

i had it written down on my own notebook

[fervent oyster]

yes

im just thinking

[quasi jackal]

so she verified that i knew every single line of that poem

[fervent oyster]

JFK was assassinated 9/22/1963

[hazy elbow]

ur redading ur poem to her

[quasi jackal]

yes precisely

[hazy elbow]

did she pull it out

[quasi jackal]

yes

[hazy elbow]

or did u memorize

oh

[fervent oyster]

Valery Legasov died a year later

[hazy elbow]

well if its in front of u why would u not

[quasi jackal]

well i couldnt see her paper

[hazy elbow]

on the sam day

[hazy elbow]

o

[fervent oyster]

yes

[quasi jackal]

so i just pulled out my own paper

since i had a copy

[hazy elbow]

oh so u did confes

s

[quasi jackal]

ye

she still didnt say anything after that

[hazy elbow]

🙁

[quasi jackal]

so i explained what the 6.1-16 meant

[hazy elbow]

nerdy

[quasi jackal]

and halfway through she said "it was you!!!!"

and then she couldnt stop laughing after saying that

[hazy elbow]

ok well no shit why would she sway it haklfway

o...

:(

[quasi jackal]

but somehow idk it didnt seem like she was disappointed

[fervent oyster]

Max Headroom hacking incident (Chicago, IL) happened on 11/22/1987

[quasi jackal]

she then said she spent a lot of time trying to figure out who it was

[hazy elbow]

but laughing in ur face

[fervent oyster]

okay I’m done I think

[quasi jackal]

and that she was dum for not realizing it was me

[hazy elbow]

Ok i understadn

[hazy elbow]

tha k u

[fervent oyster]

😭😭😭

[hazy elbow]

i mean what obvious hints were there

[quasi jackal]

that i kept trying to sit close to her outside of class

[hazy elbow]

ah she noticed

ok

[quasi jackal]

then my goofy aah friend kept trying to make us talk to each other

[hazy elbow]

after it happened

[quasi jackal]

yes

[hazy elbow]

or before

oh

ok

[quasi jackal]

after the note happened

[hazy elbow]

after she knew

or

[quasi jackal]

before she knew

[hazy elbow]

oohh

ok

[quasi jackal]

so anyways after the confession

[hazy elbow]

mhm

[quasi jackal]

we still had to go to history, so everything went like normal there

then after class i rizzed and gave her my phone number and email

[hazy elbow]

why email ..

[quasi jackal]

idk

[hazy elbow]

u communicate w ppl thru email

[quasi jackal]

yes

[hazy elbow]

like

friends

not teachers

[quasi jackal]

yes

email is fun

[hazy elbow]

the more i know the more like puzzled i am with u

ok

[quasi jackal]

uwu

anyways

[hazy elbow]

..continuuee

e

[quasi jackal]

im at home and i see that she messaged me "hi it's insert name here :)"

and then after that we proceed to have long aah conversations about random stuff through text

[hazy elbow]

awww

okay so is this good love story

[quasi jackal]

hrmm kinda

but then being the cringey person i am irl

i might've said some cringey stuff while she was there

my friend group is very sussy ngl

so we inevitably speak about sussy things

like "fuwwies uwu uwuwuwuwuwuwuwu"

fuwwies in my walls

[hazy elbow]

😀

[quasi jackal]

fuwwies in my shoes

fuwwies in my bed

so on

[hazy elbow]

stop

stooooo

[quasi jackal]

ok ok ok you got the idea

[hazy elbow]

this is bad

[quasi jackal]

but the goofy aah friend from the beginning was like "doge stop you're gonna give her the ick"

[hazy elbow]

ok hur35 in goin fall asleep v soon kin( say

[quasi jackal]

ok ok ok im trying bruh

[hazy elbow]

acc can we continue tmr or would that 468&!84

3ruih it

[quasi jackal]

anyways so even tho things seem to be sailing smoothly stuff seems to start getting a bit colder

[hazy elbow]

ruin

[quasi jackal]

no im gonna finish it right here and now

this cringey story must end

[hazy elbow]

colder like well weather

[quasi jackal]

colder like in our conversations

[hazy elbow]

can’t type

[hazy elbow]

oh

[quasi jackal]

rip

[hazy elbow]

OK POSNOETS FIHISHBTHIS tmrw

IM GOJAN PASS IUT

[quasi jackal]

okokokokokokokokokokok 😭

[hazy elbow]

PLS

YAA

OK SORRY IK SO TIRED

[quasi jackal]

ok actually im gonna end it here

[hazy elbow]

ILL COKE BACK FOR THE DTORY

[quasi jackal]

long story short she kinda ghosted me

the end

[hazy elbow]

NO IK GOIJF TO BD

OH

DETAIKS TKRW OJ

OK

[quasi jackal]

yes yes yes ok

gn uwu

[hazy elbow]

OK GOODNUGHT

[brittle socket]

You're back

[neat lintel]

I love math and meth

[static loom]

happy 4 u

[neat lintel]

ur wonderful thank u for making me feel good about myself

[static loom]

np yw

[neat lintel]

https://youtu.be/JntqXxaI01Q?si=ynUM-9olQnX37IrF

[spark hawk]

hello

[neat lintel]

i dare someone to find an (a,b) where a,b∈Z such that (3a/b)-(b/a)=10

[shadow flax]

,w (3x/y)-y/x=10

[fathom swallow]

Results provided by WolframAlpha

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

Requested by van21st

[steel vessel]

u arent the first one thats tried this

[static loom]

a sorta tricky way is sub c=a/b and then see if the discriminant is not a perfect square

[neat lintel]

im trying to find a proof

[uneven tinsel]

Proof is like let x =a/b rational then b/a =1/x

3x-(1/x)=10

And check if this quadratic has rational solution

[empty token]

can somoene explain me quadratics

[tacit magnet]

You should be more specific

[placid wedge]

hehe

[marsh iron]

I've a small question

There's the xy problem

Where someone asks for help doing Y because they think it will help them do X

And there's another problem

Where someone asks something like:"Hi, can anyone help me?" instead of asking the question itself

How is that problem called?

!xy problem

[quasi jetty]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[marsh iron]

!problem

!problems

Can't recall its name

[static loom]

I think it's like

!ask

idk maybe that's a different server lol

usually a response people give is "don't ask to ask" and post that link https://dontasktoask.com/

[marsh iron]

Yeah

Thanks!

[grand pecan]

algebra problems have x+y=10 and x*y=z right

[static loom]

yw

[ocean harbor]

it's !da2a

[grand pecan]

the reason i ask is because of the lagrange multiplier

how is the lagrange multiplier even valid

[static loom]

!da2a

[quasi jetty]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[static loom]

cool thanks

[static loom]

wdym

[grand pecan]

L(q,r,s,λ)=r⋅s⋅q+λ(12−q−r−s)

chatgpt gave this equation when i asked it to maximize qrs when q+r+s=12

[grand pecan]

let me rephrase the question: how is the lagrange multiplier made

[static loom]

have you taken any calculus

[grand pecan]

i know it helps you maximize

i only know dx^2/dx=2x

[grand pecan]

no

[static loom]

you might have to learn up to multivar calculus to really start understanding it, but you will encounter some optimization in calculus 1

[grand pecan]

ok

also

to optimize a function like f(x)=4-x^2, solving for x when the derivative is 0 is enough, right?

the lagrange multiplier combines the restriction of q+r+s=12

[verbal karma]

yes... Lagrange multiplier is usually for constraint optimization

[north topaz]

yes and usually with multivariable functions

there's no constraint here, a constraint would be like x + y + z = 1 or something

[fallen mango]

How do you know how it would look

Seems like a hexagon and i cant figure why

[north topaz]

https://www.geogebra.org/3d/mc7hcees

you can graph it!

[fallen mango]

I graphed it

[fallen mango]

.

[north topaz]

don't see why you think it looks like a hexagon then

[fallen mango]

Maybe i just dont know shape names

Sexagon?

[verbal karma]

it is a plane

[fallen mango]

Yes

[north topaz]

no it's hexagon lol

but a hexagon has 6 sides

[fallen mango]

I dont understand, why "but"

[north topaz]

like I can't see a hexagon anywhere

for instance, the region bounded by the plane and the x and y-axes is a triangle

[verbal karma]

if it is bounded in a box, then I can see why you see hexagon

but x+y+z = 1 is indeed a plane.

[fallen mango]

Now that you mentioned it its probably cut off 😅 how do i remove this box

[verbal karma]

like, you probably see this

[north topaz]

ahhhhh yeah I remember some competition problems being like that

[fallen mango]

I do

[grand pecan]

let me define a problem

optimize qrs when q+r+s=12

(12-r-s)x(12-s-q)x(12-q-r)

[fallen mango]

!help

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[grand pecan]

ok

[fallen mango]

I do

[verbal karma]

this is another perspective of that

oh, I think I got the sign wrong

one sec

[fallen mango]

Thats more reasonable!

[verbal karma]

there we go

I use mathematica instead of geogebra :)

[fallen mango]

Oh so it is indeed just a regular plane, thank you

I use desmos for some reason

[north topaz]

right, Desmos has 3D graphing now

it wasn't always like that

[fallen mango]

I know

My mind was blown when i first saw this

It was the first 3d grapher i had seen

[verbal karma]

most of the good 3d graphing tools are the one that you need to code

not like desmos or geogebra are bad tho

[north topaz]

yees MATLAB or something is infinitely more powerful

[verbal karma]

Unpopular Opinion: Matlab is bad

It is somehow one of the popular language among mathematicians

[uneven tinsel]

#NoMoreMeows

[neat lintel]

im wondering when matlab will ever support sequence to sequence neural network models natively

https://tenor.com/view/snoop-dogg-super-bowl2022-hip-hop-gif-24894092

im coughing my lungs up from this dab pen

[verbal karma]

I would say there are more people in ML who is willing to write seq2seq in C than in Matlab

[fallen mango]

I do hate it yes

[storm sage]

I didn't realize it was popular among mathematicians

my impression was they tend to use mathematica or python (sage)

[verbal karma]

surprisingly for fluid stuff, people do use matlab more

sage is not as common as I anticipate