serious-discussion

[deep dirge]

Besides, this was a nice nerd sniping problem.

[long matrix]

(this server next year)
||poof||

[deep dirge]

Anyways, here it goes.

@river crypt
||A radial velocity when it leaves?||

[marble willow]

yes!

how'd you do it

[deep dirge]

Like bloemily said I used every statement probably.

@long matrix sorry for pinging

[long matrix]

no u

[deep dirge]

Can we do a spoiler for latex

[long matrix]

,texsp .

[deep dirge]

Ty

Hey you stop.

I'm typing.

Don't ruin my moment.

This is my time to shine.

Ouch

[long matrix]

🤡

[neat lintel]

went pretty well

[flat harbor]

my answer is ||same radial vel as initial and zero tangential vel|| and the reason is ||magnetic force does zero work and because its rotationally symmetric it cant apply any tangential impulse||

[long matrix]

youre just going to have to delete the script

[deep dirge]

I can't spoil the image and my text both, can I?

[long matrix]

,texsp ||$1+1$||

[flat harbor]

i didnt use any integrals cause i didnt know if it was in ur paygrade

[long matrix]

or have extra things

[fathom swallow]

What the hell am I doing here?
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[deep dirge]

I guess fuck it. It is readable enough.

[flat harbor]

@marble willow check if u wanna

[mental stratus]

bloe cracked physicist

[flat harbor]

guess i didnt need to spoiler the answer if u already have it lmao

[marble willow]

why no tangential impulse?

[flat harbor]

rotationally symmetric is a very strong condition

[long matrix]

physics is crazy

[deep dirge]

How symmetric here?

I don't see it to be symmetrical necessarily as long as it's inside.

However averaged over the entire radius.

Perhaps it is.

[flat harbor]

i guess u culd think it as averaging yea

since the integral B r dr is flux and thats zero

[deep dirge]

That's what I did, yes.

But that only holds for the integral when the bounds are 0 to R.

Otherwise there's torque.

[sonic frigate]

who da smartest here

[deep dirge]

100%

I'm snow fanclub.

[fathom tangle]

I like snow on the beach

[sonic frigate]

same

[marble willow]

is it a mere coincidence the integrals were the same?

or was it intentional

[sonic frigate]

who da smartest in dis server

[flat harbor]

torque works like that

[torn orchid]

sounds tasty

[deep dirge]

I mean since we got the answer, I'd say it was pretty much framed. The problem maker surely had it mind.
For some other problem, perhaps mit wouldn't.

[flat harbor]

i think this is a good problem

[sonic frigate]

the song prob

[torn orchid]

oh

[deep dirge]

The problem maker went out of their way to make sure there exits no other way to do it.

[torn orchid]

the taylor and lana one?

honestly same

[sonic frigate]

yh

[deep dirge]

So it's a matter of whether or not you head that way.

[flat harbor]

u "could" solve it by decoupling the system of diffeqs

but thats messy and if this was a uni entry pset then thats not how theyd intend u to solve it

[deep dirge]

That's always doable, I'm unsure how kany of these physics problems are actually feasibly done like that.

[sonic frigate]

r u da smartest in the server

[flat harbor]

well u just diagonalise a 2 by 2 lmao

[sonic frigate]

or is it you yh its defo you

[flat harbor]

its a rotationally symmetric problem

[deep dirge]

I think you don't get to do that in highschool physics.

[fathom tangle]

I'm the new romantic

[flat harbor]

hence this

[marble willow]

thank you!!

thank you bloemily too!

[flat harbor]

thanku for giving fun problem

stick with the torque solution i think its cleaner and doesnt need elaboration on why its rotationally symmetric

[long matrix]

blowo not shitposting

[deep dirge]

Yeah.

[flat harbor]

i dont shitpost when ppl ask abt phys

[long matrix]

[deep dirge]

You do when it's mathematics?

[flat harbor]

except when its like

[long matrix]

i feel like u secretly know more math than all of us

[flat harbor]

phys im actively working on

[sonic frigate]

are you the smartest

[deep dirge]

What do you do?

[flat harbor]

no

[deep dirge]

No, you're the smartest.

[sonic frigate]

who is it

[deep dirge]

YOU

[sonic frigate]

nah fr

no way

[flat harbor]

ping every discord member here ull find them eventually

[deep dirge]

I'm being for real.

[mental stratus]

surely the interior and exterior here don't mean the same as the technical terms from topology right? or am i silly?

[flat harbor]

its always well ordered

[sonic frigate]

what da fuck

bro what the actual fuck

is dat

[long matrix]

probably does doesnt it

[deep dirge]

Say shuri

[long matrix]

who knows

[deep dirge]

For future instances could I spoil the text and image both?

[flat harbor]

i think its just the everyday terms innit

[long matrix]

better to harass snow

[deep dirge]

It went horribly this time...

[flat harbor]

the interior of a circle is nothing

[long matrix]

@placid finch harassharassharassharassharass

[flat harbor]

lick

lick lick lick

[mental stratus]

yea im with you blo

[neat lintel]

yes, they don't mean the same as the topology terms

[long matrix]

dont lick blowo

ok maybe i should read properly next time

[sonic frigate]

ahh so its you then

[flat harbor]

idk how to say except "physics"

[mental stratus]

ah thanks tteppa

[deep dirge]

Try French.

[flat harbor]

god no

[deep dirge]

I hear that all the time.

[neat lintel]

?

[sonic frigate]

the smartest

in server

[neat lintel]

i still won't help you with your homework

[placid finch]

[sonic frigate]

who is smartest

[neat lintel]

i never denied that claim

[flat harbor]

lick

[long matrix]

.

[sonic frigate]

i just wanna know dw

[long matrix]

,texsp 1+1

[long matrix]

you can still see the plaintex

[sonic frigate]

2

les gooo

[flat harbor]

just dont use latex on discord

[neat lintel]

the smartest member of this server doesn't even look at these channels

[long matrix]

bad blo

[sonic frigate]

who is it

[tepid light]

latex is good in overleaf

[deep dirge]

Is it that field medal winner?

[tepid light]

if u laz then use grapher maybe

[ocean harbor]

Yes

[tepid light]

if u rlly laz then use desmos lmfao

[neat lintel]

this place is "lowmath" for a reason

[flat harbor]

i stare at mathematica kernel code all day cause the client wont run on my shitty laptop

[tepid light]

thinkpad?

[flat harbor]

i think im the worlds greatest bracket counter thats for sure

[tepid light]

wooo lawd

[flat harbor]

"hansung" """laptop"""

[tepid light]

ah i c

is it like a huawei laptop thing

idek

[flat harbor]

shitty korean offbrand that sells 2k laptops for 1.2k with gacha features

[tepid light]

oh ic

wtf

[flat harbor]

idk if huawei does that but its in character i guess

[tepid light]

thinkpads are p good

can be the same price range

or less

[flat harbor]

thinkpads too smol

too flimsu

[tepid light]

lol

lul

smol compootr

[neat lintel]

@quartz scaffold

are you jacob

[quartz scaffold]

yup

thats me, jacob

what do you need

[neat lintel]

i know u

[quartz scaffold]

wait who are you

[neat lintel]

ur from nyc

[quartz scaffold]

yep

[neat lintel]

You genshin

🫥

Junior

[quartz scaffold]

you genshin

[ocean harbor]

cringe

[neat lintel]

Do your work and stop messing around

Discord mod

[quartz scaffold]

wait im not jacob

friend was on account

why do you think that

[neat lintel]

You mean ur brother

😡

[quartz scaffold]

why do you think im jacob

[neat lintel]

Give me my money or I’m coming to LA

[quartz scaffold]

who is this

@neat lintel

[neat lintel]

me

im ur brother

[quartz scaffold]

I’m not Jacob

I think ur thinking of the wrong person?

[neat lintel]

mr zhen

who are you fooling

[karmic iron]

how do i add pictures

[ocean harbor]

I think it's only available for those who has active+ role but you could send images in #chill

[cold rivet]

but u were talking about the economics of pokemon?

anyways

why does light exist? i dont understand how we know what it is.

[little vine]

I was talking about professor oak doing ash's mom

But go ask God

[cold rivet]

ok

u got his number or something

[little vine]

Accept Jesus as your Lord and Savior

And he'll tell you

[cold rivet]

sorry man Allah wispers in my ears

[little vine]

But not about the nature of light? Sus

Jesus knew about wifi and said nothing

As far as I know light is just energy swapping back and forth between a magnetic field and an electric field

[cold rivet]

but how can it transfer energy

it cant really slow down, can it?

[little vine]

It's something like the changing magnetic field begets a electric field. And a changing magnetic field begets and changing electric field

And somehow light can move through space by doing that

Take physics 102 maybe

[cold rivet]

screw it

give me a second

ыыы

im bookmarking this

[little vine]

Nice edit lol

[cold rivet]

thanks

im gonna learn physics and come back here and tell you its still weird

give me a few years

say... 2025?

[little vine]

I'm sure you'll find it weird

[cold rivet]

homeless people will be cut in half by then

[little vine]

I wake up everyday thinking it's weird I'm alive

[little vine]

Hope not

[cold rivet]

yea

[little vine]

I'm homeless

[cold rivet]

why does anything happen?

[little vine]

Or almost

[cold rivet]

i saw a funny video of a dude and it made me question my life

[little vine]

Yeah you get it

[cold rivet]

he was saying he was a part of hte matrix

it was like a skit

and he was saying "look at this raspberry, its organized, your internal organs are so organized"

[little vine]

You mean the movie the matrix

[cold rivet]

and i wonder what something... less organized would look lke?

[cold rivet]

sure

[keen lance]

Any opinions on Khan Academy? I've been using it for over a month now, and it's helped me get further than my classmates in math in just over a month.

[mental stratus]

have heard nice things said of it

[ripe dirge]

It's good

Pretty good

[keen lance]

That's cool, I was just curious seeing how I'm the only one in my class who uses it. 😄

[storm sage]

it's very good

I love it

[bright hill]

why am I still here

[neat lintel]

just to suffer?

[cold rivet]

the few things ive done on it arent thorough enough for me

but i say that about everything

[sly flint]

You'd have better luck on the physics server.

I'm not completely sure of my answer, so it's best I don't share it.

[storm sage]

I would give you permastudying if I knew how

Oh you just add the role, I see

[cold rivet]

probably

but idc that much

[molten briar]

It's super good, like too good. The fact that it's free aswell is awesome.

I don't know about about calculus though, a textbook might be better for that , they also don't have practices on linear algebra which kinda sucks.

[maiden bluff]

hi yall! for my stats-driven ib extended essay, im studying the effect of tiktok on student productivity. it would be really helpful if you could fill out this 3-4 minute survey if you have not already. Thank you! https://forms.gle/4mJJBDAnWcHnsofy5

Fyi, people who don't use TikTok is still helpful data so that I can compare it to those who do, so don't hesistate to fill out the form because of that

(I'm not sure if this is the appropriate channel but if it's not, lmk and I can post it in the right place. Thanks!)

[neat lintel]

ONLY FILL OUT THIS FORM IF YOU ARE A HIGH SCHOOL STUDENT.

why do you have this and then the question "what grade are you in" with the possible answers "college/beyond college?"

[serene pulsar]

accidentally poisoned myself, but back to the math grind.

more level 4 and 5 stuff I'm excited about

[storm sage]

Catching the ppl that don't read; they get reported to the banks and their credit score plummets

[woven whale]

@maiden bluff I have 12 classes

well technically 14

[maiden bluff]

Updated the form!

[storm sage]

I have zero 😎

[ocean harbor]

It is already easy

[eager stag]

what do they even cover in 8th grade math lol?

[ocean harbor]

you don't remember?

[granite stream]

I’m gcse it is

[ocean harbor]

good luck!

[serene pulsar]

@fluid gyro hopefully you don't mind the ping, but your help was awesome. I kept practicing and now I'm confused on why it's so easy haha. I keep requesting new problems and they're all too easy and quick now. You helped a bunch! 😄

[fluid gyro]

Always very nice to hear. Appreciate the ping!

[serene pulsar]

😄

[cold rivet]

tik tok is bad regardless of affects on grades

[cold rivet]

ok i was gonna do this

but like its my school and stuff

ig thats just a bit too much info for me

[worn garnet]

Anyone know if Georiga Tech's pure math/phyics department is very strong ?

I recently interviewed for one of GTRI's labs and expecting another interview for a couple more of their postions

[cold rivet]

ive heard good things about GA tech in general

nothing about those departments in general tho

[worn garnet]

LIke if I got a position at GTRI don't get me wrong I would take it but i'm having a browsing around at their research departments the issue with me is that I want to do theortical computer science so when i'm looking at a place I expect a healthy balance of theoretical and applied

[worn garnet]

Like GT is one of the best when it comes to pure engineering don't get me wrong and it seems like GT has teams both full of theorists and engineers

[cobalt tide]

How do I prove a process is a random walk emphirically? I can conclude in a 1D finite length model by observing the walk either moves +-1 or jumps to a location (with respect to the center) that's roughly ~a constant. Is this enough for me to say "it's a random walk"?

[rain dome]

If I leave the server do I have to reapply for #「graduate-lounge」 if reentering or do the bots remember?

[void tundra]

they will remember

[woven whale]

lol his name

grothendick

[neat lintel]

classism smh smh 😤

[neat lintel]

== is not needed in python

PEP 69 removes ==

[torn willow]

Is === typed equality?

[neat lintel]

=== means that the language has terrible type system

[solar hawk]

:(

javaskip

[long matrix]

=== is equality check without casting or anything

will just directly compare the 2 things

[storm sage]

Not wrong tbh

[long matrix]

[serene pulsar]

I want to study more math today but I'm in a lot of pain rn 😓

[ocean harbor]

damn

hope you feel better

[solar hawk]

How could you 😭😭

[neat lintel]

huh?

Why is java python so cringe

[solar hawk]

😭

I like Java tho

I mean it’s cringe but still

[neat lintel]

meant python but yeah java is also cringe

I'm taking a college course for it right now and OOP is so horrible to deal with

[ocean harbor]

yes java is cringe

[storm sage]

not sure what y'all are even talking about, java doesn't have ===

although the == equals() distinction is really annoying

== should really be performing equals() by default imo

[storm sage]

you're being trolled

[neat lintel]

I'm not I took a python college class

You're not supposed to use == because in python it doesn't work the way you think it should or how it works in any sane language

you're supposed to use the is keyword if you want an actual ==

java

[surreal sapphire]

uh

no?

== compares values and is if objects are the same

in most cases you want the former

>>> a = 1000
>>> b = 1000
>>> a == b
True
>>> a is b
False

[neat lintel]

Holy

Even more reason why python is horrible

[surreal sapphire]

?

this is expected behavior

[neat lintel]

a & b have the same type and same value

why is a not b

[surreal sapphire]

because they are distinct objects in memory

[neat lintel]

yes, but why would anyone think the is keyword is checking memory addresses

Like if I have two apples in front of me

and ask you if they are the same thing

why would you say no

[surreal sapphire]

your example is working against you here

[neat lintel]

They're both apples

[solid snow]

They aren’t the same though

They’re distinct

[surreal sapphire]

i think you are just java brained

the == operation acts as any sane person would expect

and is is just the next best keyword to check for object equality

[serene pulsar]

thank you

[storm sage]

I agree with Loch

== and is are perfectly sensible in Python

[neat lintel]

Python 3.10.9 (tags/v3.10.9:1dd9be6, Dec  6 2022, 20:01:21) [MSC v.1934 64 bit (AMD64)] on win32
Type "help", "copyright", "credits" or "license" for more information.
>>> a = 1
>>> b = 1
>>> a is b
True
>>>

What?

[storm sage]

a and b refer to the same thing in memory

it's caching

[neat lintel]

[surreal sapphire]

small values are cached

[storm sage]

try it with a larger number

[surreal sapphire]

this isnt great, yes but its a quirk of how the language works

[neat lintel]

[storm sage]

yeah this is just a sign not to use is with integers in python

most of the time you want ==

[surreal sapphire]

yeah, there is no reason to ever use it for such simple objects

in general just know what you are doing lol

i dont know what you are suggesting instead

== should obviously check for equality of values (and not objects)

[neat lintel]

the langauge should be intuitive imo

[surreal sapphire]

yes, that is the intuitive thing to do

[storm sage]

I feel like this is far more sensible than javascript

and java

[surreal sapphire]

(because thats what say C does)

but you need a keyword to check object equality too

and you will look this up always

[storm sage]

string comparison in java has led to an uncountable number of bugs

[torn willow]

Equality of objects refers to same address?

[surreal sapphire]

^

[torn willow]

Makes sense

[unkempt bone]

seems like math

[torn willow]

So if you have something like

int y = 4;
int* a = &y;
int* b = &y;

*a and *b will be equal as objects?

[unkempt bone]

math

[torn willow]

And Java string comparision does something like that?

[surreal sapphire]

uh, you have to be careful

a and b are distinct, because their addresses are distinct

[torn willow]

I am thinking about *a and *b

After dereferencing

[storm sage]

for Java string comparison you need to use .equals() rather than == to do the thing you would expect

[surreal sapphire]

ok, then yes

discord formatting moment

in java i think == checks for addresses

and you need to use equals for what you actually want to do

[prisma swallow]

Actually i guess it depends on what is meant by "equal"

[surreal sapphire]

my C brain knows that string equality needs some function anyway

but comparing ints shouldnt

[torn willow]

Agreed

[surreal sapphire]

if you need an equality function for ints because your ints are actually Integer objects

[prisma swallow]

a and b are not equal in the sense that they are "different" data both allocated on the stack. Its not like this just creates one pointer to be put on the stack.

[surreal sapphire]

you went too deep into the OO

[prisma swallow]

a and be are equal in the sense that they hold the same value

[neat lintel]

Guys I need some advices. Im doing pre calculus 11 for summer school rn, i find it really challenging bc everything goes rlly fast. Meanwhile i took pre cal 12 for a long year for grade 12 after this summer. Should i drop pre cal 11 summerschool and skip to pre cal 12?

[unkempt bone]

as someone who has the math skills of my dead uncle idk

[prisma swallow]

But yeah, as loch says, i think you can just do == to check if the adresses are the same.

[surreal sapphire]

crabsussy if you have nothing to add, you dont have to type anything

[neat lintel]

Would dropping the class negatively affect you at all?

[prisma swallow]

Can't really help you since I don't know what precalc 11/12 entail

[neat lintel]

anyone help dm me

[neat lintel]

No but i have 0 pre cal 11 experience idk if i can handle pre cal 12 tho

[neat lintel]

Before deciding, try figuring out what you are supposed to learn in pre-cal 11

You're gonna have to learn the stuff if you haven't already regardless of if you take the class or not

If you're able to learn it on your own without the anxiety of the class that's great

True true

Yea but this summer school is just too fast like u learn today u do the test tmr. Also the teacher is shit consider its summer school

Ik how to solve the problems and shit but when i do the test, I just don’t remember the steps.

I learned 6 different things today and i can barely remember some of them

Seems like you aren't getting enough practice

I learn at least 5 different things in 1 day lol

[neat lintel]

3 hours technically

What's the last thing you were taught?

Uhhh

Something starts with a F

Functions?

Factoring?

Yes

which one?

Factoring

You didn't learn that in algebra?

or use it in geometry?

We dont gave algebra class here

Have

We have workplace, foundation, pre cal and cal

Thats it

inshallahu! Get out while you still can

I mean its not hard at all

But

Its hard to remember

Everything

yeah

Thats the problem

sounds like you're learning 4-5 different subjects in the summer

7 units

all in one class

1 unit for 3 days

Or a week

Class started last week Wednesday and we have alr done 2 tests total rn

[woven whale]

bro has never used Java

[neat lintel]

fooNaN

[craggy gust]

JavaScript has many "features" that will create silent errors for you

I think the most common that I run into is when I'm defining an array and accidentally type ,, which creates a null field in the array

[1,, 2] being [1, null, 2]

[craggy gust]

Didn't even know JavaScript strings had a unary plus overload

what the

[last flicker]

can someone pls dm, got a math question been stuck on for 2 hrs 🙏 🙏 🙏

[ocean harbor]

!help

[quasi jetty]

Please read #❓how-to-get-help

[last flicker]

i dont see claim channels

[ocean harbor]

try #help-7｜zen1thxyz

[neat lintel]

id:browse

[ocean harbor]

[last flicker]

cheers

anyone have a look at help-7

[neat lintel]

#❓how-to-get-help

[ocean harbor]

Be polite until someone comes

[last flicker]

yea I understand, just got exam in 2 hrs and stuck on this part for ages

[neat lintel]

Ignore akira

They have anime pfp

[ocean harbor]

lmao

do you know who that is in pfp

[deep mango]

oh fuck

[deep mango]

idk who u r but ur based

[ocean harbor]

Hi

[deep mango]

he mothered

[ocean harbor]

lol

[topaz swift]

Guys, what's that word in English when you say something unkind/mean about someone, how do you characterise such a remark? I think I'm thinking of "uncharitable" (e.g. "it is uncharitable to speak of him this way"), any synonyms?

[little vine]

Uncouth?

Vitriolic?

That's more powerful

[topaz swift]

Nah, it's more about the "unkind" aspect of the remark (see the example)

I **think ** the word I'm thinking of is uncharitable, just wanted to see if there are any other words I'm missing

[little vine]

You could just say mean

[topaz swift]

I know, I was just looking for the word that crossed my mind. Anyway, thanks

[serene pulsar]

Inconsiderate? Insensitive?

[narrow cosmos]

spivak is vitriolic towards first years

I remember a line reading something like "if you cant do this problem by now just drop out"

based

[prime raven]

Either bro deleted his message or you are magically talking to yourself xD

[little vine]

Holy shit

What was the problem

[narrow cosmos]

I don't remember, my intro to analysis class was years ago and I don't dare to touch my spivak copy with a stick

[rough glacier]

I forgot my password, what to do people, i wanna change it through "forgot your password" thing but i cant find it here

[neat lintel]

What website?

[rough glacier]

discord

[neat lintel]

mmmm

if you try to login you can see the find my password thing

maybe open a browswer in private mode and do it

[swift pier]

curious about the bot used for the math help rooms. does anyone know what bot it is?

the one making the channels available or occupied

[craggy gust]

It's the staff team working full time

Jokes aside you can see which bot is pinning messages in the channels

@quasi jetty

[swift pier]

thanks. Do you know the name of the bot so I can add it to my server?

[keen lance]

hey guys what do you do about a math burnout

[surreal sapphire]

see https://github.com/discord-math/bot

[surreal sapphire]

^

[swift pier]

thank you very much~

[ripe dirge]

Take a break
Then try again

[rocky shuttle]

become mash burnedead

[icy onyx]

hello smart people

what drives you to deal with math?

[lime finch]

problems

[icy onyx]

what kind of problem?

or just fun of the solving problems?

[lime finch]

8 years ago a person online said I was dumb because I didnt know what a derivative was

so then i made it my challenge to learn what it was but as soon as I learnt it, another person online said I was dumb because I didnt know what an integral was

and then the pattern continued

[icy onyx]

https://tenor.com/view/ah-shit-here-we-go-again-ah-shit-cj-gta-gta-san-andreas-gif-13933485

well I guess gifs don't work

[lime finch]

yeah thats another problem

you can get gif perms after you solve the riemann hypothesis or similar

[icy onyx]

🧐 is that a challenge for me?

[lime finch]

if you want gif perms then yes!

[icy onyx]

well

👺

hey @lime finch can you help me with that?

[ocean harbor]

It only works if you have active role

[icy onyx]

How can I get the active role

[ocean harbor]

by chatting

[solar hawk]

by being active

[icy onyx]

thanks for your replies

appreciate it

[woven whale]

advanced channels give more points toward active

[little vine]

Yeah but then you have to know shit

[surreal sapphire]

debatable

[solar hawk]

lmao sometimes i just shitpost

lots of linear algebra in #calculus so maybe it happens in the advanced channels too

[ocean harbor]

[surreal sapphire]

please dont shitpost in math channels

[solar hawk]

Nah not like that that’s just the discussion there

Sorry tho for say that

[woven whale]

there's #1100503863586455632

[little vine]

Lol

There was a need for specifically algebra shit posting

[woven whale]

Yeah we kept being warned by mods for posting it in the alg channel

[neat lintel]

Doing some math ?

[sharp turret]

https://tenor.com/view/heisenberg-walter-white-staredown-breaking-bad-gif-26437139

No

[visual stratus]

ur girl is gonna fail summer school

[ocean harbor]

doing summer school for math is bad tbh

it's canada so yeah most people cheat by using wolfram or photomath

#1129054715586551899 message

@visual stratus aren't you answering

[visual stratus]

oh I got photomatj

[ocean harbor]

😭

[true wedge]

Ayo

[ocean harbor]

cheating is useless don't do it

which uni are you applying for?

waterloo?

[visual stratus]

I’m going to college I don’t think I’m taking math after grade 12

I wanna get into workplace math for my last hear

[ocean harbor]

I see

But honestly you'll find advanced functions and calculus are easier than regular functions

I don't know much about college in canada though

In calculus, they don't teach integrals but on ap calculus yes

[visual stratus]

ohhh

[ocean harbor]

yep

[neat lintel]

Probably deserved

[visual stratus]

damn wth 😭😭

[neat lintel]

calculus is linear algebra though

what do you think a derivative is

[solar hawk]

I know

It’s a linear operator but still

Then everything is set theory ?

[neat lintel]

[solar hawk]

I mean I think it’s supposed to be calculus like a hs or college student would know

Not a Lin alg

[neat lintel]

calculus is what i think it is and that's basically just linear algebra

[surreal sapphire]

the early university channels are named after standard US classes

so people ask questions that appear in those classes

thats probably fine

[neat lintel]

classic US-centric discord server ignoring the rest of the world

[surreal sapphire]

sad but true

i dont think there is a way around this

[void tundra]

the US is the whole world, according to the US

[woven whale]

yeah why do you think aliens always land in the us?

[rocky shuttle]

calculus is linearized algebra

[storm sage]

not wrong

calculus is just linearization

[alpine kindle]

calculus is just computational analysis

and analysis is just linear algebra with a metric and inequalities

[terse flax]

happens

[solar hawk]

What part of the world teaches linear algebra in a calculus class…?

The fuck

[torn willow]

The good ones

[solar hawk]

Why don’t we just tell kids 1 and 2 are just sets

And make them prove 1+1 is 2

Because that’s what they really are

[surreal sapphire]

[solar hawk]

I guess I’ll just do linear algebra and set theory in in the pre uni section, no?

Because that’s what it “really is”

That’s so annoying when people do that

“Oh well actually this class is technically [insert stupid advanced bs] 🤓”

Fuck let’s just take all the classes outside of every curriculum let’s start them off with axiomatic set theory and let them define all their shit the way it should be huh

Smh

[alpine kindle]

i was literally shitposting

[solar hawk]

Was talking to teppa but that kind of one-upping people is really discouraging to talk here

[alpine kindle]

calculus is, in fact, not just linear algebra

[solar hawk]

Iv been here since 2020 and I only got the advanced role because every time I fcking said smthn someone would be there to be like “well technically 🤓”

[alpine kindle]

these are mostly jokes

[solar hawk]

It’s hard to tell something is a joke when it’s like that

[alpine kindle]

if someone says "well actually <category theory>" to a simple arithmetic question it is usually not because they think it's useful but because they think it's a funny joke

[solar hawk]

And the joke is like regurgitated so much it isn’t funny anymore

Especially when it is persistent

[alpine kindle]

this is a valid criticism

however

[solar hawk]

Like maybe one message is haha yeah funny but if your going to keep telling me

It’s not funny anymore

[alpine kindle]

all criticisms are actually categorical statistics

[solar hawk]

Lol

That’s funny

Unless you drown out what I’m saying by continuing to say that

[solar hawk]

Lmao I just killed discussion 2

[ocean harbor]

sadge

@ revive chat

hi

[mental stratus]

hi

damn, julia user

[ocean harbor]

:D

[serene pulsar]

more math

[zealous stone]

Where can I ask about non-pre-university, non-competition math euclidean geometry?

particularly about some of the details in the proof of the Poncelet Steiner theorem

[woven whale]

#geometry-and-trigonometry

[zealous stone]

that's pre-university right?

[woven whale]

categories don't matter

[zealous stone]

ok thanks

[solar hawk]

nvn

nvm

[cold rivet]

im tryna make a function

that is 1/(2^1)+1/(2^3) etc

all the odd numbers

and all the even numbers

i tried this in desmos:

x/(2^(2x-1)) but it didnt work

i want it to approach their theoretical values: 1/3 and 2/3

what am i doing wrong?

2x=y ends up calculating all even numbers

and 2x-1=y is all odd numbers

but 2^x will be too “powerful” and make it into x^-1 type graph

or 2^x ish idfk at this point

[woven whale]

what are you even saying @cold rivet

[cold rivet]

let me start small

i want to calculate 1/2 + 1/4 +1/8

all the way down

and get an approximation

how would i get a graph to show that?

[river moon]

desmos has summation

[cold rivet]

i want a function to express this

i was thinking x/2^(2x-1)

[river moon]

yes, use summation

[cold rivet]

or something?

[cold rivet]

yea but thats boring

[woven whale]

,, f(x) = \sum^x_{k = 1} \frac 1k

[woven whale]

there's your function

[cold rivet]

x=y are cooler

summation isnt cool

[woven whale]

[river moon]

then you're onto computing n-th partial sum

of that sequence

[cold rivet]

i think that sounds right

[woven whale]

read this

https://dl.acm.org/doi/10.1145/322248.322255

it shows that you cannot express that sum as a rational function

[river moon]

the problem is that the partial sum of a harmonic series is a harmonic number

[cold rivet]

cant it approach to my number?

damn the laws of math

[burnt ledge]

tbh this is just log x isn't it

[cold rivet]

wait a second

[woven whale]

it's not

[cold rivet]

it isnt yea

that doesnt a approach a value

[woven whale]

it does

[cold rivet]

infinite? or 0?

[woven whale]

,, \lim_{n \to \infty} \sum_{k \leq n} \frac 1k - \log n \approx 0.5772156649\ldots

[woven whale]

your sum diverges too

[burnt ledge]

you can tell that it is log x because the limit of their difference exists

[woven whale]

btw this number appears all over the place

[woven whale]

???

[cold rivet]

well summation worked

[burnt ledge]

prove me wrong

[cold rivet]

that number looks familiar

[cold rivet]

log(x) doesnt approach a number

[woven whale]

it's the euler mascheroni constant $\gamma$

[woven whale]

sum 1/k doesn't either

lol

the harmonic series diverges

[cold rivet]

i didnt want 1/k

i wanted 1/(2^(2k-1))

which was 2/3

as expected

remove the 1 and its 1/3

[woven whale]

oh

[cold rivet]

from how i did the problem it seems completely normal

[woven whale]

that's just 2/3(1-4^-n)

[cold rivet]

too late

but also

why is it that when i remove the 1 it goes down 1/3

its so weird if i saw that without context

wait wouldnt i be able to do this with a 3d graph?

probably not

id add a photo but i cant

[cold rivet]

wait what the fuck

why could he add a photo?

he has roles?

i want a blue colored name it fits be

or bronze

both would be fine

[river moon]

#changelog message

[cold rivet]

ok

i cant talk in there

wtf do i do?

ima just dm a mod

[ripe wasp]

why is ur latex in comic sans

[long matrix]

illumijoker

[woven whale]

COMIC NEUE

[little vine]

@cold rivet change your profile picture I don't like it

[cold rivet]

oh shit he isnt in this server

lemme send him a screenshot of this and he’ll respond through me

[little vine]

What?

[cold rivet]

im the prettiest princess around

also wtf is up with racoons here?

[neat lintel]

you took the bait way too hard

[solar hawk]

😭

[neat lintel]

i was initially like 10% serious with the calc = linalg message

the US centric message was a full shitpost lol

[solar hawk]

i still think it needed to be said, even if what you said wasnt serious

everyone else does it and its annoying asf

[neat lintel]

multivariable calculus is where linear algebra is needed for a full treatment

single variable? it's not necessary

derivative is just linear map is just scalar

[zealous garden]

Calculus does taste a lot like Linear ... Algebra

[neat lintel]

that's not quite the same lol

whoever's saying THAT should be blocked

the fundamental idea of calculus literally has "linear" in the phrase

[zealous garden]

Huh?

[velvet dagger]

"Derivative is a linear approximation"

[eager trout]

Ok but the derivative fo e^x isn't linear though

Checkmate

[serene pulsar]

today has been a fun day for math studies. Some of these things I have to spend more time on. Most of level 3 and 4/5 up to this point has been easy to learn quick, but earlier I had to watch a couple videos to learn the topic.

But the max level is only level 6 so I feel like if I keep at this pace or quicker I can learn everything I need to.

[solar hawk]

but it can be proven with lin algaba tho

it would just be circular

[eager trout]

The derivative of e^x is e^x

Is e^x a linear function?

And you're saying derivative gives linear approximation smh

[peak tide]

you seem to have overlooked the word "approximation"

[eager trout]

Well the approximation is the same in this case

Still not linear

[velvet dagger]

I think he's trolling lmfao

Using the term "checkmate" and given his math level

[eager trout]

Am I trolling?

[velvet dagger]

Yeah lol

[peak tide]

ah, i often fail to check profiles haha

[eager trout]

[little vine]

Ryc would never troll

[eager trout]

Dami you forget that not everyone knows how to integrate by part ok

[velvet dagger]

Yeah but also your phrasing

[eager trout]

[little vine]

Me af

[echo tundra]

What font is that?

I mean the one in latex

[solar hawk]

i did not say that

[opaque vigil]

Ok, is there a way to define an indefinite integral instead of just saying the vague statement "anti derivative".
I know the integral is some function f(x), so that when applied to g'(x) or saying f(g'(x)), it results in g(x), and vice versa g'(f(x)). But then that just depends on the derivative of g(x).

[hexed gazelle]

yes. see fundamental theorem of calculus

[sharp cave]

No I think they're talking about the solution to y'=y with y(0)=1 to the power of x

[neat lintel]

The constant in the indefinite integral ends up being an initial condition. We have to know it before continuing with many problems. We could go in the direction of integral curves

[eager trout]

No

I’m using e to stand for einsteins number

[pliant prairie]

what is 1+1

2-2

0 raise to 0

1/rt -1

probably

yep

why do we take pie as 22/7 but not value of pie/no. of decimals

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 / 10raise to 10

oh

but how did they?

can it be recreated?

i mean the proof

oh

i have one more ques

oh

thats cool

ok

can we find all twin prime conjecture using nasa supercomputers?

yep

prime number make a spiral

Ulam's spiral

there is a pattern for sure

yep

oh

well im in 10th grade so i dont know much about this stuff

oh

so its just a theory

its interesting af though

now thats awsome

maths is like a habit?

a good one

you can certainly be a writer

words of a true hero

[solid snow]

Wth is going on here

[pliant prairie]

my man described maths better than chat gpt or god himself

[static loom]

depends on what you mean by this, math isn't a spectator sport, you need to fight it to some degree

nah

I don't buy pure argment to authority but

I agree to the extent that you probably are in the wrong and shouldn't be too combative if you don't agree/understand with what they're saying

I think we're neary on the same page about it

[pliant prairie]

wise men/women

[neat lintel]

shut yo yee yee ass up

[pliant prairie]

bro

[neat lintel]

this is a bot

damn trolls got their hands on AI

[static loom]

well I don't agree with this lol

there are definitely wrong people lol

[neat lintel]

ma man you are talking to a language model

[static loom]

lol

[pliant prairie]

wait. Dongeon you are ai?

ohk

[neat lintel]

I still think dongeon is an AI

pretty sure AI can respond without being preprogrammed

[static loom]

not that being wrong is a death sentence or anything, we're probably all wrong on things like a spectrum

[static loom]

why do you think that

[pliant prairie]

im still doubting wether you are ai or not

[static loom]

no, it'll BS you lol

[neat lintel]

So basically you?

damn horny AI

[pliant prairie]

umm

Bro now u sound like AI

[static loom]

how about this, can you tell us what's on the featured article is on this page https://en.wikipedia.org/wiki/Main_Page @urban frigate

that'd convince me

pretty sure GPT can't access the internet

[pliant prairie]

yep

[static loom]

yeah

[neat lintel]

but you can use their API

[static loom]

good enough for me, idc lol

[pliant prairie]

If you are AI then please tell

[static loom]

do you really think this is that sophisticated @neat lintel

[neat lintel]

give this man a turing test

[pliant prairie]

I trust you Dongeon

[static loom]

just seems paranoid to me, besides there are other people here participating so it's not important either way

at this point you're the worse troll @neat lintel lol

[neat lintel]

ya'll telling me

a human is writing all of this?

[pliant prairie]

either Hotaro is the best troll or Dongeon is AI

umm

[neat lintel]

I think Dongeon is switching between AI and human

[pliant prairie]

definitly a joke

i think he a human only

with good english

he can be a writer though for sure

[neat lintel]

Learn spelling and grammar

[pliant prairie]

bro ...

teach me

[neat lintel]

<@&268886789983436800>

[pliant prairie]

never have i ever got this much motivation🥲

wait...did they ban him?

[green crane]

bro

hi

[neat lintel]

https://www.youtube.com/watch?v=hAPhD4o9DAc

[long matrix]

[cloud drift]

Is it possible to create trapdoors for undecidable problems?

Example:
The answer to the Entscheidungsproblem shows that there is no universal algorithm that can determine whether a Turing machine with a certain input will halt at some point (or continue indefinitely) without actually running the machine. However, there are machines for which it is trivial to prove that they will never halt (for example, an infinite loop without an exit condition), and others for which it is trivial to prove that they will halt at some point (for example, a machine with the sole instruction to halt).

For this particular problem, the question is:
Is it possible to generate a set of Turing machines based on a secret in such a way that it is easy to determine whether each machine halts or not, but difficult to determine whether each machine halts or not without running them - and without the key?

To be clear, I'm not talking about solving the Entscheidungsproblem, but about whether it is possible to generate some machines for which it is easy to know whether they halt, only if we know how they've been generated

Should I ask this somewhere else ?

[surreal sapphire]

this could be asked in #math-discussion but your question is very open, its hard to say anything useful

i dont know what exactly you mean by dependence on a secret, if you dont have a concrete idea

we dont even know if trapdoor functions exist, so ...

[low spruce]

man, the Entscgeidungs problem has 3 questions: 2 of tem have been disproven by Kurt Godel, the third one by Alan turing, and answer is that maths is undeciadable, so i don't think that your question evem has an answer, so just keep it as a universal doubt

[cloud drift]

I guess a weaker question could be the same, but without the constraint on hardness (and without the "secret key") : do we have ways to generate Turing machines for which it is trivial to know if they halt or continue indefinitely ?

[surreal sapphire]

sure?

[cloud drift]

Continuing on my previous message, of course there's no way to generate every Turing machines for which we can tell whether they halt (that would make the Entscheidungsproblem decidable)

[cloud drift]

Which ones ?

And to go further, are there some machines for which it is harder to answer, but we still can without running them ? The answer is surely yes. And is there a way to tell if a machine eventually halts or not without running it, that can be made easier by knowing how it was generated ?

[surreal sapphire]

i can come up with infinitely many turing machines where it is very easy to tell

and you can just build a complement of one that halts and make it enter an infinite loop

they are as simple as what you already mentioned

so you will need more restrictions to get anything useful

there are multiple ways to test whether a turing machine halts

programmers do this all the time when they consider correctness of their algorithms

say for example loop invariants

or if you know that a turing machine only uses finite memory, it becomes a finite problem

this problem is way, way too general to say anything useful

[cloud drift]

I see now how way too general it is
I guess generating a problem that is very hard and using it as a stop condition for a loop suffices, but it's just stupid because it would make our problem as hard as the problem it contains

It makes me think a little about indistinguishable obfuscation ; how we can make two boolean circuits very hard to distinguish

[ocean harbor]

morning

[ripe dirge]

Evening

[solid yarrow]

Banana

[ocean harbor]

what time is it

[ripe dirge]

4:35pm here

[ocean harbor]

oooh

7:06am for me

[echo tundra]

This server had a homepage some time ago or am I hallucinating?

[burnt ledge]

https://mathematics.discord.com/

[surreal sapphire]

https://mathematics.gg/

[echo tundra]

[woven whale]

comic neue

[low spruce]

@cloud drift while the idea has rose countless times in the past, the halting problem says that there is no algorithm nor any machine which can predict if a machine halts or not, and there is no actual counter-evidence that can disprove it yet (DM me for extra pevidence, do it if you want the definitive answer for this problem).

And it doesn't matter whether the machine is running or not

Oh, and while a turing machine can halt, the fundamental problem is that this machine is an 'ABSTRACT CONCEPT' so don't overthink it

There is no real-life algorithm or machine that can predict if a machine halts or not

In fact, we aren't even sure if we are real, so perhaps our life is abstract too, so thinking about abstractness can make a person mad because we ourselves always have the doubt if we're even there

[storm sage]

This seems irrelevant to the original question

There can't be a counterexample to the halting theorem because it's true

And the proof shows why any possible counterexample leads to a contradiction

[low spruce]

Im trying to say just that, there is no answer to his question

[storm sage]

Their question is not whether there is a way to tell whether an arbitrary turing machine halts

Their question was if there is a useful class of turing machines for which it is possible to tell

Hello

[low spruce]

Clearly we don't know the answer yet, since every turing machine can go in an infinite loop, hence there is no solution

[storm sage]

Not every Turing machine can go in an infinite loop

For example the Turing machine that just immediately halts obviously cannot

[fervent notch]

Of course it's possible. The problem only arises if you want a theoretical machine that is powerful enough to express our model of arithmetic. You can come up with more limited arithmetics. And, in practice, we always do because we cannot build a Turing machine which has infinite tape.

[low spruce]

that turing machine can't predict if it wikll halt because it will al;ways halt

[storm sage]

What

I can easily predict if that specific Turing machine will halt

(It always will)

[fervent notch]

All of these "amazing" rezults such as those by Godel or Turing aren't that counterintuitive or magical once you see the smoke and mirrors. They typically have some things we've stipulated that we want to hang onto.

[storm sage]

To be fair they are still amazing

[low spruce]

dude, it's just that while you're correct that it is possible, there is no real-life answer to @cloud drift ' problem

[low spruce]

they're amazing

[storm sage]

I don't think you've understood the question...

[fervent notch]

They really aren't once you see why they're true.

[low spruce]

YOU can -predict it, but the machine itself can't

[storm sage]

I will always believe the compactness theorem is magical

[low spruce]

gotta agree with him in that

[fervent notch]

For example, consider Godel's incompleteness theorems. They only works because we have this idea of well-formned theorems and those have nothing to do with axioms or deduction rules.

So it's not a huge surprise that you can't reach some formulae based on those, thus making the system incomplete.

[storm sage]

Nice!

[low spruce]

that's a great thing! keep it up

[fervent notch]

And we allow for these well-formed things that come out of thin air because it is convenient to work with.

[storm sage]

I feel like it is a fairly big surprise that there is no computable, consistent, and complete axiomatization of arithmetic

Hilbert certainly didn't expect that

[fervent notch]

He didn't. But we understand logic better now than we did in Hilbert's days and we know that we've made certain choices when we built up logic the way we did. It's really on us.

It's only unintuitive until you realize that we've created a weird foundation to math (for practical concerns -- easier to work with).

It's not about that. It's about what we mean by formal languages in general and the philosophical implications of that.

[low spruce]

man, we have chosen our interpretation of logic, there may be other grpoup that may tske the bother choices or extrateretrials

[fervent notch]

So one thing formal languages typically have is an extra set of rules of what "looks like a valid formula" to us humans. So 1+3=6 looks valid for us based on syntax alone so we call that well-formed. If you were to say "hey, that's just invalid and I will only allow my language to express truth then... math is suddenly complete.

[low spruce]

@storm sage @fervent notch @neat lintel this is kinda fun, isn't it, now back to maths

[fervent notch]

But it's impractical to do so.

[storm sage]

Aliens use paraconsistent logic

[fervent notch]

We call this well-formness, by the way.

[storm sage]

Yeah then you've just shifted the burden to figuring out whether formulae are ill formed

[low spruce]

are you trying to say that he is challenging the math that has eevolved over thousands of years?

[fervent notch]

I haven't because that's just something we made up. We could do without it if we really wanted to.

It's not some inherent law of the universe that we need to have this idea of well-formedness.

[low spruce]

I mean that logic and the ingenuity of math are fun to discuss and we should be back to pure math

[alpine kindle]

logic is an area of mathematics

[cloud drift]

I do agree that it can be very unintuitive, but also kind of reassuring ; if we could formalize everything, couldn't we just let a computer derive all truths in the universe ?

[low spruce]

BTW it's alwas fun to challenge the past and make future, so try your best to disprove some formulae

[alpine kindle]

what are you talking about
"hardest exam"?

[low spruce]

But math did evolve right?

[fervent notch]

It's unintuitive only if your intuitions do not match with the foundations we've invented --- and this happens specifically because we've made up weird decisions when creating such foundations.

[alpine kindle]

you do know we can do discrete calculus

[fervent notch]

And you might not yet know where the weirdness we've invented lies.

[low spruce]

computers haver a limit

[alpine kindle]

right?

like that's a thing that exists

that doesn't mean it's the boundary of human knowledge

[low spruce]

yes, and even though math can be rigid, in the recent yrars, we ca do our own math siunce math has decome much more independent

[alpine kindle]

yeah and it keeps changing

[fervent notch]

For example, if we say "I don't care about math expressing falsehood---I don't need the language to be able to express anything like that. I just want it to tell me everything that is true and that's all the language can do" then you don't need well-formedness. But we don't do that cause it's convenient to express false things like potentially wrong hypotheses. So that leads us to constructions that are weird.

[alpine kindle]

in some sense mathematics does not evolve
because theorems that have been proven are just true

[fervent notch]

Then math is complete and can even express all of arithmetic and all of our theories. But it's very difficult to use.

Can't do a proof by contradiction, for example.

We find that useful, so we accept "paradoxical" results.

[alpine kindle]

if a postdoc has never done dynamics they would probably not be amazing at doing a dynamics problem

[storm sage]

How do you encode arithmetic without some way of telling truthhood from falsity then?

[low spruce]

yes but there are variations that may arise right, and once, the cubic was considered to be impossible, bit today it is, sin't it

[storm sage]

I was assuming that was the goal of the logic

[fervent notch]

You only allow it to express the things that are true.

And whatever is ill-formed you can consider "false".

[storm sage]

Right I'm just agreeing with you that it's impractical, for the reason that this doesn't help you deduce what the system can express in the first place

[fervent notch]

But if you don't allow yourself to write falsehood, it's computationally expensive to prove some things. You'd have to brute force your axiomatic system up to formulae of a different length to find out whether they are indeed true or not.

[alpine kindle]

people thinking something is unsolvable is not a proof

[fervent notch]

That's not very convenient.

[alpine kindle]

if you don't allow falsehood then what is there to compare truth to

[low spruce]

he's right, without deducing what a system can express, we can say if it's true or false

*can't

[storm sage]

Yeah I agree with you Rooftop Joe

[fervent notch]

You don't necessarily need to do that.

[low spruce]

they are saying that how do we differentuate between truth and falsities