#serious-discussion

1 messages · Page 51 of 1

topaz swift
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pls delet

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It's not kinda sad, it's straight up sad.

vast surge
#

No. I'll keep looking.

topaz swift
rapid fjord
vast surge
fathom swallowBOT
#
Zorn's Lemon#5426's Avatar

Click here to view the image.

void tundra
#

wow i regret not LaTeXing my analysis exercises so bad

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me scrolling through 100 pages in goodnotes looking for theorems i proved previously

frigid matrix
#

zorn mama so fat she is an inacessible cardinal

rapid fjord
#

<@&268886789983436800>

brittle socket
#

Checking my past proofs is so boring
to be fair I guess I have been doing just this for a couple of days now, with a total of around 100 pages to check

neat lintel
#

"Go touch grass" they said. And here I am mr. judge.

livid plinth
livid plinth
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urgent

brittle socket
# torn willow Just wing it

Yeah I think I might just continue onto the next chapter and come back to check my proofs next time (soon™️) ~~so probably never bleakkekw ~~

void tundra
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i never check proofs because my logical intuition is perfect!!! /s

wooden flax
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is it just me or does blasting EDM in headphones make u 100x more productive

neat lintel
brittle socket
#

No music is more productive for me

long matrix
#

same

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i get soooooooooooooo distracted by music

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its so sad

brittle socket
#

Crow boi comin in

deep mango
#

I get distracted by crazy music, sometimes calmer classical music helps and sometimes it hurts

brittle socket
#

Hi crow

deep mango
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Hello grass

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My sickness is worse today

wooden flax
#

anime music is nice happy

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sad

brittle socket
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Why

deep mango
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Well I just woke up

wooden flax
#

oof

deep mango
#

So maybe it's not actually worse

wooden flax
#

you're up early

deep mango
#

We'll see

#

As always

brittle socket
#

What sickness do you have

deep mango
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Just a cold

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Not covid

brittle socket
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Oh i see

deep mango
#

But this morning I started coughing too

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So that's annoying

brittle socket
#

lets bully ryc now that he can't fight back (as effectively)

brittle socket
long matrix
deep mango
long matrix
#

i was trying to infect slurp and u mustve been caught in the cross fire

deep mango
#

Get out of my throat, frog

deep mango
long matrix
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no not really

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something that helps is to watch a lot of anime. yes.

brittle socket
# deep mango Get out of my throat, frog

Get my magic potion that is most certainly not poisonous to pigeons (my source: trust me) from your nearest patch of grass. I have placed it there for your convenience :D

neat lintel
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Valley of Despair is actually quite nice with all the new maths to learn, if it weren't for all the despair...

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i remember being on the peak in school, they never showed us how deep it can go

rocky shuttle
#

joining this math server puts me at the bottom of the valley once again

neat lintel
#

there ought to be an enrichment part of a maths curriculum which isn't assessed, but of course since it won't immediately contribute to improved performance, the value of this is ignored and it comes down to the teacher

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they were like "the real numbers are made up of all points on the number line" and i was like "ah yeah makes sense, thats probably all there is to know about it, on to the next thing"

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and now at uni you spend whole lectures to even get to the point to correctly define what it means

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I want to get to uni so bad I'm so done with school

bronze pelican
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Hang in there

neat lintel
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ty I'm in the final year so not too long

zealous garden
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The Real numbers simply aren't enough

brittle socket
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Hyperreals realshit

untold sapphire
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you guys wanna hear a fun fact

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dunning kruger probably isn't real lol

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it's a statistical artifact

eager reef
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So the people referencing dunning kruger pulled a dunning kruger

static loom
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the fact that it's not real just goes to prove how real it really is

river moon
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schrödinger's dunning kruger

zealous garden
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Lmfao

cinder zephyr
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Dunning's cat

neat lintel
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kruger's cat

daring path
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Happy new year ! 🎉🥳🎊 ( From Europe )

surreal kindle
violet wraith
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how's 2023 so far

cinder zephyr
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For those of you who already are in the new year

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How is the future?

neat lintel
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Boring

bronze pelican
neat lintel
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People are still annoying

violet wraith
surreal kindle
frigid matrix
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and its good way to assert epistemic authority

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in simple me >>> u because i spend more time

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however this is besides the point

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make the most of 2023 and tell me something cool you have learned

cinder zephyr
brittle socket
untold sapphire
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I think it's really interesting

pallid flower
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is there a fibonacci number that all digits are 3?

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in base 10 ofc

long matrix
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3

plush crag
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everyone got afraid of discussion 1 seems like

long matrix
#

^ if ur interested in a full answer this is a hint

neat lintel
#

just wasted an hour trying to follow a cranks explanation, it just doesnt make any sense, what am i doing with my life

long matrix
# neat lintel just wasted an hour trying to follow a cranks explanation, it just doesnt make a...

大好きな歌を大好きな人と歌ってみた〜〜!!!!!!
初めての歌レコ・初めての歌ってみた緊張したけど楽しかった!!!!!!!

☺︎Vocal:なちょ & ななめ 🍩💤

☺︎art: 甘城なつき / Nachoneko
https://twitter.com/amsrntk3?s=21

☺︎Mix: ハムさん
https://twitter.com/hamu_lr?s=21

☺︎Movie: 千鳥ひなさん
https://twitter.com/chidori_hina?s=21

■Original:P丸様。/ナナホシ管弦楽団 様

https://youtu.be/3V9952osjnc

🍩𝑇𝑤𝑖𝑡𝑡𝑒𝑟🍩
https://twitter.com/nanam...

▶ Play video
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have some nekos

pallid flower
long matrix
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im using the closed form of fibonacci

neat lintel
#

pi = 4/√phi ???

long matrix
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and geometric for 3, 33, 333, ...

long matrix
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haha i pointed out the main issue in the latest comment and they shuddup

plush crag
neat lintel
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he did the same on another video, there he explained in more detail

long matrix
#

jesus

neat lintel
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but more detail is not enough for him

long matrix
#

well as far as i could see they were just squaring an area for no reason

plush crag
neat lintel
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i like how he goes cheers at the end

plush crag
#

lmao

deep mango
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Ah yes

plush crag
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it's so stupidly long

brittle socket
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Hi Chalk

deep mango
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Difference of squares of differential operators

violet wraith
long matrix
#

dont tell me you understand this crank

violet wraith
#

I may

plush crag
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hmmCat was that was i just showed you ?

long matrix
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im confused

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and why did u delete

deep mango
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Im busy

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Eating dinner

long matrix
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pah

deep mango
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Now frig off

long matrix
#

WOW

bronze pelican
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Ryc is too busy for us

long matrix
#

I see how it is

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ryc busy in 2022 i see

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FINE

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ill just get on with meself in 2023

deep mango
#

Work in 2022 so that I can play in 2023

long matrix
#

ur just eating,

deep mango
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I'm a growing boy

bronze pelican
#

Sigma bird ryc

neat lintel
long matrix
plush crag
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eh

long matrix
#

💙

plush crag
#

i can post something back

long matrix
#

yes ofc

deep mango
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Haters gonna hate

plush crag
deep mango
#

Strut strut strut

plush crag
#

hmmCat this is the demonstration for d'Alembert equation for mechanical waves

deep mango
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Yes

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1d wave equation

plush crag
neat lintel
plush crag
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lmao

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d'Alembert proof for 1d wave equation and suddenly NEKO CHEF

neat lintel
#

i just respond to music with music

plush crag
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hmmCat ahhhhhhhhhhhhh help me what is this music

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won't judge, it's not for me

violet wraith
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@deep mango when you're done give me an example

long matrix
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ah what great lyrics

long matrix
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i bet

deep mango
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There's one example

violet wraith
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is it just (D²-E²)f=(D+E)(D-E)f

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for D and E differential operators

deep mango
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del_x^2 f - del_t^2 f = (del_x - del_t)(del_x + del_t)f

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It's easy to see if you just apply the things and expand

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And use the fact that del_xt f = del_tx f

violet wraith
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I see

deep mango
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But it's very useful

violet wraith
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sounds useful for solving diff eqs

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turn second orders to first order

deep mango
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Because it turns out that it's easy to figure out what f should be if del_t f + c del_x f = 0

bronze pelican
#

I don't like nanahira

deep mango
#

With f having, say, prescribed values on t = 0

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But now you can just do it twice

violet wraith
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that's cool

deep mango
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Solve the outside of the onion

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And then the inside

deep mango
bronze pelican
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Translation

deep mango
#

It's called the "transport equation": g(x) is transported as t grows at speed c.

bronze pelican
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Boring pde

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Boring solution

violet wraith
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shut up yamin

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I like this

deep mango
#

Boring but builds to the wave equation, which is an exciting pde

violet wraith
#

epic

deep mango
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Even when you solve this twice on top of itself

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You get some cool behavior

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Like standing waves, bouncing wave packets, etc

violet wraith
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ooo

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I see

velvet dagger
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Best PDEs let's go

deep mango
#

KdV equation

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  1. Third order nonlinear
  2. Supports solitons
  3. Completely integrable dynamics
velvet dagger
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Where does it come up?

deep mango
#

i.e. waves which interact with each other instead of passing through each other cleanly

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in particular, the kdv equation models how waves on shallow water surfaces propagate. so it's what you actually want if you want to study like, ripples moving across the surface of a pond.

wooden flax
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physics is so cool

velvet dagger
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Does it come up in diffgeo at all?

deep mango
velvet dagger
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Sadge

bronze pelican
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It comes up in number theory

velvet dagger
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Wait what

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Okay now I might allow this

bronze pelican
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Idk but Zagier has some papers with Kdv in the title

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Ng might know

velvet dagger
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Oh right ng did mention that I forgot

frigid matrix
frigid matrix
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i learned about this today

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🙂

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im still learning but i now know how to solve transport when initial condition is given

deep mango
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I always forget how to do it

bronze pelican
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Transport eq is the most boring pde of all time

deep mango
#

Method of characterstics

frigid matrix
frigid matrix
odd brook
#

kdv is very cool

frigid matrix
#

pde is so cute

deep mango
frigid matrix
#

oh

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like ricci flow

deep mango
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and related are minimal surface equations, and such things (which are a stationary version)

frigid matrix
#

oh yeah this reminds me

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so in my undergrad thesis my advisor brought up monge ampere equation

frigid matrix
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for something about showing a manifold was calabi yau

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but i learned that monge ampere is also a diffeq

deep mango
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I see

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Yes

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the simplest kind should be det(D^2 u) = 0

frigid matrix
#

In the mathematical field of differential geometry, the Calabi conjecture was a conjecture about the existence of certain kinds of Riemannian metrics on certain complex manifolds, made by Eugenio Calabi (1954, 1957). It was proved by Shing-Tung Yau (1977, 1978), who received the Fields Medal and Oswald Veblen Prize in part for his proof. His wor...

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i see

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these dudes were cool

velvet dagger
#

My knowledge of geometric analysis is very little but

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I know heat equation can be used to give a proof of Atiyah-Singer

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And apparently Ricci flow (eventually building to Poincare conjecture) is supposed to be inspired by, if not directly analogous to, the heat equation

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Other geometric flows as well, I know "mean curvature flow" is a term

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Minimal surfaces as ryc said, this is also related to a really cool and important subject called geometric measure theory

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(through currents, also GMT seems rather important in studying regularity for PDEs)

tough trellis
#

Who is rhe owner

velvet dagger
#

delbar stuff in complex geometry

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Spectral theory of the Laplacian

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Yamabe problem

potent pivot
#

I know I'm only in one time zone, but happy new year, math friends

mild nebula
#

Happy new year, time zone sharer.

potent pivot
#

I appreciate you, time zone sharers and oxygen breathers alike.

frigid matrix
#

happy new year

solar hawk
#

Hppy new yr

brittle socket
#

Me being stuck on a bijection proof for the last couple of hours: sad

fresh stone
neat lintel
#

hi

rocky shuttle
neat lintel
#

Happy new year guys

#

This is new year week

bronze pelican
#

HAPPY NEW YEAR

sick kite
#

Happy new year bud

fading zealot
#

I no longer trust my observation ability after finding out a book I've been putting beside my pillow for the past 2 month glows in the dark just a few minutes ago

old star
storm sage
#

I never trust my observation ability

#

I am easily gaslit

old star
storm sage
#

Gaslighting is a colloquialism, loosely defined as manipulating someone so as to make them question their own reality. The term derives from the title of the 1944 American film Gaslight, which was based on the 1938 British theatre play Gas Light by Patrick Hamilton, though the term did not gain popular currency in English until the mid-2010s.The...

neat lintel
#

Cool

torn willow
#

I should stop trusting my observations

hidden violet
#

What kind of math is used for the stock market buying common equity?

violet wraith
#

arithmetic

old star
untold sage
neat lintel
#

hey how much is 1+1

neat lintel
fathom swallowBOT
leaden torrent
#

gamestop isnt really playing the stock market, it's buying into a cargo cult

undone wren
#

Buy gaga

mint canopy
#

Buy your face

undone wren
#

I bought it

#

Great game

#

Best shooter of the decade

#

Did you play it?

mint canopy
#

yeah it was almost as good as deez

undone wren
#

Haven't played deez, send link

violet wraith
#

have you guys heard of QFT or DN theory?

undone wren
#

What's qft?

violet wraith
#

HAHAHAHA

mint canopy
#

Who is steve jobs

undone wren
#

I don't watch tv, sorry

neat lintel
mint canopy
#

oh right ofc

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so sad he died of ligma

neat frost
mint canopy
#

Bruh is that true

#

that's really sad

neat frost
#

Also insanely stupid

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But sad

woven whale
#

I would have never thought boytjie would shitpost lmao

mint canopy
#

I'm a very serious boy(tjie)

woven whale
#

@mint canopy you're doing a phd, right?

mint canopy
#

I am yeah

woven whale
#

on what topic

mint canopy
#

PhDs nuts

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reps of algebraic groups

vivid halo
#

goated topic

mint canopy
#

Ikr

woven whale
#

so you're like a wew 2.0

mint canopy
#

they're so cool

vivid halo
#

what sorts of problems are you thinking about specifically

mint canopy
#

Well lmao at the moment I'm still just learning algebraic groups

surreal sapphire
#

wew does way more boring stuff

mint canopy
#

but my supervisor wants me to do some calculations

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there's this conjecture in rep theory, and while it's unlikely we can solve it, my supervisor wants to verify it for some groups of lie type

vivid halo
#

ah nice

mint canopy
#

That's one thing I'm going to work on. The other thing is a broader rep theory thing

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We shall see

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Have you done alg group theory nGroup?

vivid halo
#

yeah a bunch

mint canopy
#

Good to know I'm not alone haha

vivid halo
#

a portion of my research involves a lot of representation theory of real and p-adic Lie groups

mint canopy
#

Oh that's sick!

vivid halo
#

stuff related to the Langlands program

mint canopy
#

makes sense

vivid halo
#

the representations of adelic groups you study in Langlands are built out of (usually infinite dimensional) representations of real and p-adic Lie groups

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so you basically have to understand the local representation theory, and then understand what sorts of rules allow you to assemble these local representations into a global representation

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what's weird is that the representation theory in the real case and the p-adic case are so similar

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there's no reason they should be so similar

mint canopy
#

at least this is the picture I have in mind when you say this

vivid halo
#

I mean this is just some sort of complicated local to global principle

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like suppose you had some system of polynomial equations that you want to solve over Q

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suppose you can find solutions over R and over Q_p for all p

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did these come from an honest solution over Q?

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There are certainly examples like 3x^3 + 4y^3 + 5z^3 = 0 where you have solutions over R and over Q_p for all p, but no solutions over Q

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so there's some sort of arithmetic obstruction of global nature in examples like this

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similarly, one can start with a representation \pi of G(A_Q) and ask if this occurs as a subquotient of the regular representation of G(A_Q) on L^2(G(Q)\G(A_Q)); such representations are called automorphic. The representation \pi decomposes as some tensor product of representations \pi_p of G(Q_p) and \pi_infty of G(R)

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but if you're handed a bunch of representations \pi_p of G(Q_p) and \pi_infty of G(R) and make this big tensor product, if you pick these representations at random such a thing is almost never automorphic

(by a similar token, if you pick a bunch of solutions over R and over Q_p to your Diophantine equation and these solutions are somehow incompatible, then they didn't come from some solution over Q)

eager reef
#

i might learn a bit about algebraic groups next semester

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if it fits my schedule

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there's a course on them that one of my profs told me to take

surreal sapphire
#

algebraic group? more like F_p^*

velvet dagger
#

REP THEORY GANG

frigid matrix
#

but i dont feel well prepared as i didnt perform as i wanted to in alg geom

radiant mauve
#

Hey quick question, I'm interested in studying neural networks from a mathematical/theoretical perspective, does anyone know what branch of math/types of classes that would fall under?

cyan goblet
#

afaik, linear algebra, calculus, statistics, probably probability

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looks like there’s some stuff in topology there too

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but probably not required

frigid matrix
#

i think bishop?

radiant mauve
#

Ah so information science/stats would be the broader category

heady grove
frigid matrix
#

if you understand the reference i gave then you are golden

heady grove
#

i understand the nope

radiant mauve
#

Well it's helpful anyway thanks

violet wraith
#

holy shit guys look

deep mango
torn willow
#

I am waiting for

let x=4;
frigid matrix
#

but its grammatically incorrect

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as this sentence would not be in a dialogue so let would be capitalized and there would be punctuation

violet wraith
#

no that's just how google is

amber orbit
wanton pecan
#

hm

arctic grove
fathom tendon
#

Maybe a weird question, but I'm a HS junior and I want to be a math professor when I'm older, what things should I be doing to improve my chances in the future?

surreal sapphire
#

get a degree in mathematics

fathom tendon
#

well yeah duh

surreal sapphire
#

have a backup plan

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there isnt much you can do now other than well, learn math

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a lot of it is luck and its impossible to tell how academic job market will develop (its currently not great and getting worse, at least in mathematics)

fathom tendon
#

Ok

vivid halo
#

yeah right now just focus on learning as much math as you possibly can without burning out and sacrificing your health

#

but also keep an open mind, academia is great but it's filled with miserable people. A lot of people wait until they're like 30 years old and 2 postdocs in to give up gambling on such a bad job market for such little compensation

static loom
#

for a while I was interpretting, "do what you love and you'll never work a day in your life," as meaning you'll remain unemployed lol

vast surge
fathom tendon
#

noice

untold sapphire
visual moss
#

If anyone has 10 minutes and wants to help me out with collecting some insights about your relationship with math media, feel free to do this. It'll be for a YT channel I'm creating.

https://forms.gle/QsLCHCmuFfkiXHJKA

woven whale
#

@visual moss where is abstract algebra and complex analysis

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and also

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if you are interested in basic arithmetic then you shouldn't be on youtube lol

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the math part of that selection is kinda messed up

visual moss
#

I suppose you can choose the closest to your interest. I am not capable of teaching topics like abstract algebra at this time.

woven whale
frosty saddle
#

Does anyone know how a 401k plan works? Can I opt out of it, and if so, is the money that WOULD HAVE gone into it added to my paycheck every week?
Lmao IK this is a Mathematics server, but that doesn't mean your (everyone here) knowledge is limited only to Mathematics stuff 🤣

chrome marsh
frank orchid
#

You mean do exercise problems what if I get stuck on the exercise problem like completely stuck?

neat lintel
#

Does someone want to discuss Theology

long matrix
#

🤨

proud olive
#

they made a religion about tea?

long matrix
#

I'm curious what one learns in this area

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no idea.

proud olive
#

probably that matcha tea is overrated

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tastes like bitter dirt

deep mango
#

My favorite survivor winner was a seminary student studying christian theology

#

She's so fun

neat lintel
long matrix
#

of what one might learn in say 1st year

neat lintel
#

One second I'll go copy some topics from an italian university page 🤣

long matrix
#

I did IB philosophy

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that's all I have in this direction of learning

neat lintel
#

Students will learn in these semester the following topics:
-Nature and attributes of God
-Person and work of Jesus Christ
-Role of the Holy Spirit in the life of believers
-Nature of humanity and the problem of sin
-Salvation of humanity through Jesus Christ
-Nature and purpose of the Church
-Nature of the Bible and its authority in the Christian faith
-The end times and the second coming of Christ
-Nature of worship and the sacraments

long matrix
#

So this is christian theology

neat lintel
#

Well I for sure didn't learn Aztecs theology

long matrix
#

I mean is there 'Theology' as a subject on its own then?

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or is it always for a specific religion

deep mango
#

It would be cool to learn about world religions

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And about their entangling history and stuff

neat lintel
#

I doubt you can cover all of them in just the time of a standard degree

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There's so much even if you just cover Christianism and Judaism

long matrix
neat lintel
#

I know some people in that university that aren't really religious, but they still take it because it's mandatory. We also got some hours of Catholic Religion in high school even if not all are properly religious

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But I'm guessing a decent amount of them is

woven whale
#

because it's mandatory
what

neat lintel
#

Wait what

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Really?

sonic cedar
#

like where in the world is only catholic religion mandatory

long matrix
#

there are catholic schools in places.

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???

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im confused

sonic cedar
#

don't take me wrong really it's just that even here in italy all we did was the classic religion hour where "we try to cover a little of everything"

long matrix
#

in uk there are catholic schools

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im sure there are elsewhere

neat lintel
long matrix
#

universities, never heard of

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but makes sense

neat lintel
#

Look for "Università Cattolica (Milano)". They are the biggest private uni. of whole Europe.

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I guess I know nothing about universities then

sonic cedar
neat lintel
#

Well public ones depend. You'll know fair well we have the option to not attend Catholic Religion hours, but is it really the best choice? I mean in my school they make those who not attend Catholic Religion leave the school for one hour lol.

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I've also had a priest as teacher for Catholic Religion in some HS years, and he's enough serious about his job.

long matrix
#

i had a rev for my philosophy teacher

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he was v good

sonic cedar
neat lintel
#

Yeah but it's one of the best unis. in Italy lol

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especially for Medicine and Surgery courses

sonic cedar
#

im chilling and fine with my Federico II i guess

neat lintel
sonic cedar
neat lintel
#

What do you study?

sonic cedar
sonic cedar
#

1st year

#

first exam in a week

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calculus

neat lintel
#

You mean Analysis?

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not Calculus.

sonic cedar
sonic cedar
neat lintel
#

American people can't conceive that we do Real Analysis instead of Calculus in Eng. University lol

#

you have to explain them it's more advanced than regular Calculus most times.

sonic cedar
#

and then i looked up online and thought everyone just said calculus ok so 2-0 for u mr Mark

sonic cedar
neat lintel
#

Yeah you should tell people you're doing "Real Analysis", they'll understand.

sonic cedar
#

well

#

i guess i should go back to do my thing im goofing around too much

#

cya hmmCat

neat lintel
#

It's 1am lol

shut patio
#

How do you write a column vector in latex using texit

neat lintel
#

When do you go to bed

sonic cedar
#

damn a C1 in english and i can't nail 3 mathematics terms in english now that's a waste of my time

neat lintel
#

I've never got an Eng. certificate, they're meaningless.

sonic cedar
shut patio
#

Does anyone have an idea

sonic cedar
neat lintel
#

I usually read books before sleeping.

sonic cedar
#

so that's better than nothing

neat lintel
#

My uni. demands we take Cambridge B2 in third year, you don't get the degree otherwise lmao

sonic cedar
sonic cedar
neat lintel
#

I mean B2 English is easy as shit.

#

I guess?

sonic cedar
#

i remember crystal clear taking only less than 1 week to prepare for it and got out with max votes (ty tv series and minecraft ig)

neat lintel
#

Have you done TOLC-I to enter uni?

sonic cedar
neat lintel
#

I remember I got like 29/30 in the english section lmao

sonic cedar
#

no debts dw

#

nahhh 30/30

#

the rest though

#

was a disaster

#

im not that good in scientific fields but i do love em

neat lintel
sonic cedar
#

frate ma l'hai demolito

neat lintel
#

Ho un compagno di classe che ha fatto 47 🤣 .

sonic cedar
#

madre buon per voi davvero

#

la DAD mi ha distrutto

neat lintel
#

ci bannano se usiamo l'italiano

sonic cedar
#

oh ok

neat lintel
#

I could've joined Maths, Physics, whatever Eng. I wanted with this score, but I went for joining Industrial Design lmao

#

the funny thing is that they request TOLC-I for a Design course sus

sonic cedar
#

not bad at all imo

sonic cedar
# neat lintel

im too bored to look that up again but i scored around 28/29

#

so yea

#

could have studied more

neat lintel
neat lintel
#

Do all students do it?

sonic cedar
#

but i wasnt worried bc uni requires only 15

neat lintel
#

How is it called?

#

TOLC-I.

#

It's for engineering and scientific uni.s

#

Oh it's that one

sonic cedar
neat lintel
#

I did two of them

#

the first I got 28, then I looked up how to improve at logic because it's the part I do most wrong

sonic cedar
#

are we like complementary or smth

#

because if that's one thing i nailed those were logic and grammar lmao

#

not ur average computer science student ig

#

if only doing history at uni gave out good jobs i'd be more than happy to be the next Alessandro Barbero

neat lintel
#

Lol

#

I have two History exams in Uni 💀

#

History of Ind. Design 1 and 2

sonic cedar
#

i had to like look everything up for myself for the tolc-i and all

#

damn

neat lintel
#

Also got "Aesthetics", which is a Philosophy exam.

sonic cedar
#

sounds like a cool degree though

neat lintel
#

Man honestly this degree is super broad, we have history exams, philosophy, mathematics, tons drawing, economics and also some physics

#

Yeah it's cool as fuck

sonic cedar
#

but stressful too

neat lintel
#

9am - 7pm lesson 😅

sonic cedar
#

daamn

#

do u factor the time to go back home tho?

#

like

neat lintel
#

no 💀 I was excluding it.

sonic cedar
#

i live in naples

#

and to go to my university i have to do 3 hours back and forth

neat lintel
#

I know it that Federico II is in Naples 😅

sonic cedar
#

and that's like so obnoxious for someone living in that same mf town

sonic cedar
neat lintel
#

Have a walk 🤣

sonic cedar
#

i'd rather at this point

#

well this was very entertaining but as i said gotta get some sleep (now i know who to ask when i need some help for analysis tho muhahaha lucky me)

neat lintel
#

I can't complain if I have more hours than some courses, after all my degree requires many laboratory hours in some years.

#

I'll go too reading.

sonic cedar
neat lintel
#

bye. Time to read my favorite homie José Rizal

sonic cedar
tidal sail
#

What channel would I ask a sort of off topic question in?

#

That has nothing to do with school

sonic cedar
#

i thought there was an off topic channel but apparently there isn't

#

so ig just use a discussion one

tidal sail
#

Oh, ok

#

The heck is that…

long matrix
#

whew done with work

#

good nyight

charred wren
#

quick question about partial vs total functions

#

basically, i'm having an argument with Haskellers over the mathematical definition of function; they claim that in a mathematical context; function usually means total function

lyric nimbus
#

Assuming "total function" means non-Curried, that's not correct

charred wren
#

partial vs total function

#

i.e, is a function defined for every element in its range?

lyric nimbus
#

ah no I see now

fleet oyster
#

almost always outside of foundational contexts possibly, a function carries information about its domain and its codomain

#

and a function is defined everywhere on its domain

lyric nimbus
#

depends on the field. technically yes, but there are plenty of situations where it's okay to elide that distinction a bit

charred wren
#

ah, i see, the main exceptions would be calculus / analysis

#

due to discontinuity?

fleet oyster
#

no

#

it's the same in analysis, a function always carries information about what its domain and codomain are

#

we can view a function as a triple (X, Y, R) where R is a subset of X x Y with a couple distinguished properties

#

in foundational contexts is the only time where mathematicians even care about distinctions such as partial/total from what I have seen

#

because when you are working with a model you also have a fixed domain (domain of the model) that you are working in

mild nebula
#

Worth saying that early math will often just assume the domain is "the largest subset of the reals for which the function makes sense". We stop doing that after a while

fleet oyster
#

🤓

charred wren
#

i see; i'm just trying to get a simpler explanation of what functional programming is by linking it to the known concept of a mathematical function

#

partiality vs totality is the biggest problem

#

since in FP, languages support partiality over a type to varying degrees

fleet oyster
#

the right context for this is foundations, where the partial/total distinction is cared about

charred wren
#

i.e, set / type / cat theory?

fleet oyster
#

mathematical logic and all its subdisciplines, such as those yes

lyric nimbus
#

in what sense are you concerned about domain issues being the main problem with identifying languages like Haskell with mathematical functions?

charred wren
#

resemblence

lyric nimbus
#

I have no idea what that means

#

functional programming is just disallowing general subroutines that have side effects. These are like mathematical functions in that input totally determines output

charred wren
#

i mean that it's easier to analogize new concepts in the sense of already known concepts; in comp sci, functions are usually better described as procedures as they tend to throw side effects of the calculation

lyric nimbus
#

but what does that have to do with the total/partial distinction? You can just tweak either your domain or codomain to make any partial function total

charred wren
#

in haskell total vs partial refers to whether the function is defined for all elements of the input type; if it's not, it throws an exception which may crash the program

#

it's permitted by default, whereas in idris all functions must be total by default, requiring overrides otherwise

lyric nimbus
#

You can either think of exceptions as an extra return value, with syntactic sugar to handle that special value, or think of removing them from the domain and the language is smart enough to panic when you give a value outside of the domain if you really want total functions

#

but it also just doesn't matter, because that's not the point of functional programming. The point is that the input totally determines the output

charred wren
#

*explicit input

#

so we can have one caveat; i.e, mapping FP to mathematical functions in the sense of deterministic functions that depend only on their inputs

#

i.e, partial / total does not map to the mathematical definition

#

what i really want is to salvage the deterministic property of mathematical functions for functional programming

lyric nimbus
#

partial/total has nothing to do with determinism whatsoever

#

if division by zero throws an exception, then you know that plugging 0 into 1 / x will throw an exception always

charred wren
#

i'm sort of wishing for native Maybe, but that's just nulls 😉

lyric nimbus
#

native in what way?

charred wren
#

i.e, all values are Maybe by default; which is just nulls.

#

Verse apparently achieves that via non-determinism; i.e, all values are multiple by default, they can be zero or more values, with zero being equivalent to false or null

#

"functional logic programming"

lyric nimbus
#

Maybe by default would be a horrible idea since many computations are guaranteed to return a meaningful value

charred wren
#

Maybe is typically used as a means of providing nulls in a type that doesn't have null or null-like values, but forces you to operate on a different type (sum type of base type + null)

lyric nimbus
#

yes I understand what Maybe is

#

not all functions should return Maybes, because many things in life don't have the complication of "this input might not be meaningful" and couching every value in that formalism when it doesn't need it is stupid

charred wren
#

I'm joking in the sense that if you have default maybe, you have nulls by default, which are considered a bad idea by the FP community

torn willow
#

Well isn't None a thing

#

Like instead of returning something of type T,you can return option<T>

mild nebula
#

I see a Rustacean

torn willow
#

Ok that's maybe

mild nebula
#

Maybe for Haskell, Option<T> for Rust ye

#

And if you're C, wherever you want.

lyric nimbus
#

it's all void*

torn willow
#

Ok this is a bold claim

Well, Haskell and Rust are deeply related. Not because Rust is Haskell without HKTs. (Some of you know what that means, and the rest of you will wonder for a very long time). Much of the style of Rust is similar in many ways to the style of Haskell. In some sense Rust is a reincarnation of Haskell, with a little bit of C-ish like syntax, a very small amount.
mild nebula
#

I've been learning Rust this last week after knowing some Haskell and am pretty impressed

torn willow
#

For me, Rust feels like a nicer C++

#

(Except the ugly syntax)

mild nebula
#

That's funny I'm coming from the opposite way. It's like Haskell but you don't need monads for every little thing

#

It's nice to put a "hello world" without deeply understanding the "do notation"

torn willow
#

Well you can mutate certain things

lyric nimbus
#

Are Haskell and Rust really that similar beyond pattern matching? I guess you could try to say that traits are like typeclasses, but that really loses a lot without higher kinded types

torn willow
#

Lifetime is literally a C/C++ concept

lyric nimbus
#

For me Rust is just smart pointers forced on you

storm sage
torn willow
#

Like if you allocate on a heap, the object has an infinite lifetime.
And if you allocate on stack, it has a fixed lifetime depending on where you allocated it

#

You kinda restrict that

storm sage
#

main = putStrLn "Hello World"

mild nebula
torn willow
#

And Traits are nicer ways of doing interfaces

#

I guess virtual classes work too, but traits are nicer

mild nebula
torn willow
tough trellis
#

Sun

lyric nimbus
#

I guess sum types are way nicer to work with than in C++

mild nebula
#

You still have algebraic types which is really cool

torn willow
mild nebula
#

You don't have kinds, and I'm not aware of any replacement, but traits are nice

torn willow
#

What's an algebraic type again?

#

Traits?

mild nebula
#

enum

torn willow
#

Isn't that sum type?

mild nebula
#

Ye

lyric nimbus
#

algebraic types would be combinations of sum / product types, so enums and structs

mild nebula
#

Don't listen to me

#

I am still learning

#

I assumed I would eventually learn how to do fmap over an Option. Maybe rust doesn't have that at all?

lyric nimbus
#

Rust has map defined for Option

#

it does the same thing as fmap

mild nebula
#

Tbh what am I missing by losing kinds?

#

Still learning so I'm sure something will come up that will make me miss it

lyric nimbus
#

You can map an individual option to another option. You can't write a generic function that takes an arbitrary function between any two types and lifts it to a map between any functor types

torn willow
#

You can do all kinds of weird shit with do

mild nebula
#

Okay fair. Now print "hello" and then "world"

#

And don't tell me there's a function composition that can do it, because there probably is lol

#

I admit I have always been weak at writing actual programs in hask, libraries are more fun

torn willow
#

So if things like this are weird and gimmicky, what kind of problems is Haskell designed to solve

lyric nimbus
#

There's a wonderful book called "sockets and pipes" about writing an HTTP server in Haskell

torn willow
#

That's the point of paradigms right?

#

If something gets too weird and unnatural with current paradigm,you look for a paradigm that fits the thing

lyric nimbus
#

the point of haskell is that in a functional programming language with a strong type system, the type signature of a function alone tells you almost everything about what it does. These programs are easy to reason about, easy to unit test, map well to describing a problem domain, and reduce duplication of details (like e.g. you will not litter your codebase with code futzing with array index bounds)

torn willow
#

Can't you do that with say Rust

#

Like traits seem pretty good

mild nebula
#

Yeah! Rust has functional programming features.

lyric nimbus
#

Well for one thing, Rust allows side effects, and so the type signature of a function tells you very little about what it does

torn willow
#

Side effects as in mutation?

mild nebula
#

But Haskell is much stronger about it. You can't, for example, mutate anything.

lyric nimbus
#

I can have a function that takes in an int, returns an int, but does literally anything in the middle. Including formatting your file system

torn willow
#

Can't you do that in Haskell too

lyric nimbus
#

Haskell can do that too, but only if the return type is something like IO Integer

#

so I get some warning, and I isolate the scary parts of my program

torn willow
mild nebula
#

If something stupid happens, it happened in a function with kind IO.

torn willow
#

Like formatting your disk is not something you can accidentally do by negligence

mild nebula
#

Kind of like Rust's unsafe

lyric nimbus
#

No and obviously the concern is not actually that something malignant will happen, but rather that something confusing and hard to reason about will happen

torn willow
#

I guess that's why things like Single Responsibility exist

runic lake
#

Hey guys, basic question. What's a decimal called that's under 1 and over 0?

lyric nimbus
#

In Haskell if I have types HttpBody and ContentLength and a function getBodyLength ::HttpBody -> ContentLength, there is almost nothing that function could possibly do but give me the thing I want

torn willow
#

I guess I just want to pretend bad code doesn't exist

runic lake
#

Bad code definitely exists

torn willow
#

And everyone does SR

mild nebula
#

There's a similar idea in Rust, where you can't edit a variable in a function unless you pass a mutable borrow

#

I don't think it's as good though, I can still make changes to the system in the middle of a function? I'm not sure.

torn willow
#

You can,yea

runic lake
#

Sorry just butting in

lyric nimbus
#

mutable borrows are good, but they're more about making sure that memory is only freed when appropriate

torn willow
#

wait, SR isn't second nature to people?

runic lake
torn willow
#

Writing code that doesn't burn

runic lake
#

Lmao I've never heard of it

#

Doesn't seem very popular

#

Imma read up on it now

torn willow
#

In software engineering, SOLID is a mnemonic acronym for five design principles intended to make object-oriented designs more understandable, flexible, and maintainable. The principles are a subset of many principles promoted by American software engineer and instructor Robert C. Martin, first introduced in his 2000 paper Design Principles and D...

runic lake
#

That's sahlliddd

torn willow
#

SR is part of it

runic lake
#

Oh true

torn willow
#

What do you think the S stands for

runic lake
#

Synchronized I guess

#

Hey I got a question

torn willow
runic lake
#

What's a decimal number called that's under 1 but above 0

#

Oh right

#

Dammm

#

Thank you

runic lake
torn willow
#

Yea

runic lake
#

Cool

#

I'm getting my niece into anime

#

So been watching that

#

What kinda stuff do you write in SR?

torn willow
#

SR is a design principle

#

As in it's something you try to follow when you write any code

runic lake
#

Oh right

#

Where can I read about it?

torn willow
#

I mean I learnt SR by doing projects

runic lake
#

Oh right

#

I'm so curious

torn willow
#

There's nothing really to SR in terms of theory

#

It's just "make your code clear"

runic lake
#

Yeah what's the principle?

#

Ohh

torn willow
runic lake
#

SR (short for Synchronizing Resources) is a programming language designed for concurrent programming.
Resources encapsulate processes and the variables they share, and can be separately compiled. Operations provide the primary mechanism for process interaction.
SR provides a novel integration of the mechanisms for invoking and servicing operatio...

torn willow
#

mb

runic lake
#

So far that sounds great

torn willow
#

I think the main problem with implementing this irl is "how do you segregate responsibilities"

runic lake
#

I'm going to do some more reading into it, I feel like the idea that a class should have one responsibility is sort of common sense to me. Though Im still pretty new to coding, so yet to see what other people do

#

I like the vibe of it

#

It kind of feels like

#

Idk programming principles is cool

#

That Robert guy is probably awesome

torn willow
#

That Robert guy writes awful code,smh

runic lake
#

By common sense I mean is all I know by the way

#

Coding is so exciting

#

Have you heard about quantum algorithms or whatever they called

torn willow
#

Yea somewhat

brittle socket
#

Anyone has any nice images to put in a cover page of a set theory book? tinktonk

#

I found this on wikipedia but idk if its accurate since I haven't learnt ordinals from Enderton yet

odd brook
#

I'm partial to this one

brittle socket
#

Ooh ok

#

Ah I found a similar one from chapter 1 of Enderton I read months ago

brittle socket
#

I have finished my simple design for my cover of Enderton

brittle socket
#

I printed it out so wanted to slap a simple cover page onto it

#

Oops sorry for the ping, forgot to turn it off

neat frost
#

UwU?

long matrix
#

"I like"

long matrix
#

@compact tartan if u remember that python scope in module convo thing, I've just found __all__ which will restrict what's imported for from module import *
idk if u knew 👀

void tundra
#

import * is a great way to get fired

torn willow
#

Some people just like to watch the world burn

brittle socket
#

Today I completed one halfway done qns I had left + solved another question

sick kite
#

congrats 🙂

rocky shuttle
#

:petTheCat:

violet wraith
#

yo

#

what's up

compact tartan
#

It doesn't affect what keys are available in the module dict

long matrix
#

pointless feature ig

fading zealot
#

Put YouTube on background playing science videos and after like two videos it autoplayed a pseudoscience video (immediately paused), first time ever happen to me

#

Alerted when the title says astrophysics but the voice plainly started the video by “this video presents the newest advancements in neuroscience”

#

When I opened the page I see pasued screen with some ads foe quantum neuro spiritual singy and a comically small number of comments compared to the view, presumebly because of the channel is deleting unwanted comments

#

I've seen people said in comment sections that they woke up to things like Havard and Stanford lectures leaving autoplay on when sleep, hope they don't woke up to these

river moon
#

"I'm paralyzed and I had to stand up and turn that off" moment

royal sail
#

I’ve seen a lot of discussion on ai programs writing essays and such for college students, so I was wondering how this would relate to mathematics education, because it’s become obvious how often peers just use calculators and programs to complete their problem sets In my university, I feel like there isn’t much emphasis on theory or proofs, but a lot on computing stuff and just following basic algorithms. I’ve always wanted to transfer schools because of this, but do you guys think this type of technology will make math education better, or worse?

static loom
#

probably both, but currently been noticing a lot of people asking chatgpt for math help and getting terrible answers from it here lol

mint canopy
#

When it was first available I was mildly obsessed with getting chatgpt to do math

#

I tried to get it to write proofs and solve some basic problems, as well as write some basic questions

#

It couldn't do it very well lol

#

but it was wrong in interesting ways, I guess.

#

I don't see it being helpful for math for a while

visual moss
visual moss
#

But I imagine it will still be at least hot minute before there's an AI bot that can solve unique problems sensibly

lament flicker
#

does this theorem have a name?

storm sage
#

since a! is guaranteed to be divisible by phi(b) if a>b

lament flicker
#

yeah I can see that

#

I could call that the weaker euler theorem

storm sage
#

Lol

frigid matrix
#

ideally chat bot should be able to train on conversations of teachers so that they become obsolete

#

i ofc have influential teachers in my life but i believe its okay for the job to become automated

#

a lecture format isnt good imo and should be used for special occasions

#

good wrt things like retention and interaction

#

whereas chatbots can be great at this

odd brook
#

teaching is hard lol

brittle socket
#

Money bearlain

storm sage
#

also I think you're overemphasizing the "transfer of information" part of a teaching job and underemphasizing the "human connection, support, role model" part

frigid matrix
#

just make that a separate job and make it pay less

storm sage
#

i-

#

at least in the US, it'd be hard to make a job that pays less than teaching does

#

a good deal of teachers already struggle to pay rent

frigid matrix
#

if we are speaking practicalities it wont happen because people are sentimental so adjusting a massive job market wouldnt happen

storm sage
#

large labor shifts have happened in the past.. capitalism is ruthless

#

out of all the jobs currently though, I think teaching is among one of things that will be harder to automate

#

although there are already resources like khanacademy out there...

frigid matrix
cinder trout
#

Ñ+ñ=ññ

royal sail
#

I don’t think education as a whole would be completely changed, supplemented perhaps but not replacing human teachers. Like sure, schools’ primary function is to educate students, but there are also latent functions that are valuable (e.g. interpersonal skills) that I doubt can be given by ai or something, anytime soon. Plus, there are much better places to apply this technology than to replace teachers imo.

visual moss
#

Not to mention, I don't trust any company full of programmers to decide the parameters that are considered "success" in teaching

#

Who gets to decide what data the bot is given? How can you monitor it to be sure it's not just wrong in what it teaches? What would an AI do too clean up the vomit, be flexible during a power outage, defend an intruder, teach social skills, and all the human stuff?

dapper pivot
#

do math people fear this

fathom swallowBOT
#

packman

dapper pivot
#

what is 0^0? just 1?

cinder zephyr
winter dome
#

why does this happen?

jovial ember
#

That’s false lmao

deep mango
#

it's almost true

jovial ember
#

Should be 45

deep mango
#

yea

winter dome
#

it should be 45 instead of 9 right

lofty lion
#

Factor it

violet wraith
#

my favorite help channel hobby is looking at the bottom of the occupied list and telling people with advanced topics to go to other channels to ask their question

neat lintel
neat lintel
#

guys, whats a good hobby to pick up when taking a break from maths

static loom
#

art, programming, music

neat lintel
#

teach me plz

#

i know the rules

static loom
#

sailing, rock climbing, exercise of some kind

neat lintel
#

😦

neat lintel
#

i mean what kind of art i should do

static loom
#

idk its your life, you decide lol

neat lintel
#

true

#

but i need some ideas

static loom
#

you could do 2d illustration, drawing, painting, digital, 3D modelling sculpting, procedural, animation, and more

neat lintel
#

can i do video games?

#

is it addictive?

static loom
neat lintel
#

lol

#

are video games addictive?

brittle socket
#

My progress so far

brittle socket
neat lintel
#

is it okay to play like MOBAs?

#

like LoL or dota 2

deep mango
brittle socket
deep mango
#

Apologist detected

neat lintel
#

what do you usually do for fun?

eager reef
#

don't play league

rocky shuttle
#

Play StarCraft II

deep mango
#

Yes

#

All the more evidence to not!

neat lintel
#

boring

#

starcraft?

#

you guys play that game?

rocky shuttle
#

I do

#

Well, only SC2

neat lintel
#

i have played sc1 before

brittle socket
neat lintel
#

but no one plays it

#

so i only play campaign

#

😔

#

and campaigns are not fun

#

here?

#

i thought sc1 is dead everywhere

rocky shuttle
#

in south korea

neat lintel
#

LoL is more popular, isnt it?

#

i mean faker

#

SKT T1

#

yeah

#

thats why they have good mechanics

#

sc1 is micro heavy

#

need fast hands

deep mango
#

Lol

rocky shuttle
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You can only like select 12 units at once

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No, that's just bad

neat lintel
#

@lament peak do you play sc from battlenet?

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wanna 1v1?

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what about league

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1v1 mid

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yasuo or zed only

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1v1 chat on discord? the one who chats the most wins

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lol

brittle socket
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Without getting banned for spamming KEK

deep mango
#

That counts!

rocky shuttle
#

Thing I like about sc2 1v1 is that you're on your own and don't depend on teammates

deep mango
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I need my loidcopium

brittle socket
neat lintel
deep mango
brittle socket
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Ohh ok

neat lintel
undone wren
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Is lol fun now?

neat lintel
#

i like one-shotting adcs with akali

undone wren
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I quit playing it after s2 or s3

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Game became too meta

cloud tide
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what game are yall talkin abt

rocky shuttle
#

lol

dapper badge
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<@&268886789983436800>

eager reef
neat frost
eager reef
#

thank you

rocky shuttle
violet coral
#

mid terms coming up😯

neat frost
rocky shuttle
#

You'll never be honorable with your shitposts

neat frost
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Exactly

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And I'm too far gone, there's no redemption for me

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I have a final tomorrow I haven't studied for yet

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,ti

fathom swallowBOT
#

The current time for Slurp is 00:41, 05/01/2023.

rocky shuttle
#

And you already got the honor you care most for

neat frost
#

I have the honor of owning ryc

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@deep mango tstststs

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Come here boy

rocky shuttle
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I was thinking about egreg, but that's fine too ig

neat frost
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Chrue

rocky shuttle
#

Capital R and C, cringe

brittle socket
brittle socket
neat frost
alpine kindle
fathom swallowBOT
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ally 💜

alpine kindle
#

perfection

rocky shuttle
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hi ally

alpine kindle
#

hello

rocky shuttle
alpine kindle
#

look at the source

rocky shuttle
neat frost
#

,tex \fonttable{msbm10}

fathom swallowBOT
neat frost
#

\mathbb is a font switch to this font (you can see the characters from 0x41 to 0x5A). These places correspond to the same places of the letters A-Z (their ascii values). But any other value gives you a different symbol (which is not a letter)

#

Which is why you get weird symbols when you use anything other than capital letters in \mathbb

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Char 0x26 and 0x27 weird tho

woven whale
#

$\mathbb{z}$

fathom swallowBOT
neat frost
#

,tex (ams) $\digamma$

fathom swallowBOT
woven whale
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I just ate 100g chocolate

#

aaaaaa

brittle socket
#

What purity

woven whale
#

milka

brittle socket
#

Real men eat 99% cocoa whatcanisay

rocky shuttle
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Which milka

neat frost
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I love milka

deep mango
#

Milka sucks

limber thunder
deep mango
#

Hersheys is better

solid snow
#

ryc wtf

#

hershey's is bottom tier

velvet dagger
#

Hershey's isn't anything special but it's not bad

odd brook
#

I can't stand hershey's

deep mango
#

I was trolling but dami is serious. Gross

tall badge
#

steer clear