serious-discussion

[tawdry arrow]

or you'll fail 😹

[undone pike]

my best exam score ever was when i went to the bathroom twice before it (and it was a 3 hour exam)

[flint basin]

oh that reminds me of how i was one of the first people to take the ACT online

fun

[weary birch]

HELP 💀
then i really gotta take that advice lol

[undone pike]

worth a try 👍

another thing is don't get stuck on questions. do easy ones first, skip/guess hard ones to start

[jovial ember]

Wat

[flint basin]

my HS was part of the pilor program to take the ACT virtually rather than on paper

[jovial ember]

Weirdge

[rain bronze]

hi

anyone here in college or been to college

[surreal sapphire]

i'd be surprised if that is not the case...

[neat lintel]

200k collegeless mfs trying to feel smart joining a math discord server

[willow crystal]

you also joined

[brittle socket]

https://tenor.com/view/roasted-oh-shookt-gif-8269968

[old oak]

hey, it worked for me

I've even fooled them into believing I have a PhD, the rubes

[brittle socket]

[terse marlin]

Hey is there anyone here that knows statistics

I just wanna ask about probability distribution

[willow crystal]

which ones?

[terse marlin]

Idk the base level high school one?

[willow crystal]

so binomial and normal, etc?

[terse marlin]

Oh yeah that

[willow crystal]

oh okay what's your question?

[terse marlin]

I'm looking at my module here, there's a word problem that goes something like a guy draws 2 balls out of a bag with 5 orange balls and 6 violet balls

Then there's tables for the probability distribution

[willow crystal]

i think you need to open a help channel instead

if it's a problem you're stuck on

[terse marlin]

But it looks like it just ignores the fact that you're more likely to draw a violet ball?

Is that not a thing you account for?

[willow crystal]

do the balls get replaced?

[terse marlin]

It only lists and accounts for unique outcomes

No

[willow crystal]

ah okay, why would you be more likely to draw a violent ball? Have you seen a tree diagram before

[terse marlin]

Because there's more violet balls?

[willow crystal]

think of it like this. For the first event (first ball you pick), probability of getting violet balls is 6/11 and probability of getting orange balls is 5/11. If you picked violet ball first, what would the probability be for picking it a second time?

[terse marlin]

1/2?

Hmm

[willow crystal]

Yep, the probability changes

It changes depending on what occurs on the first event

[terse marlin]

Wait I think I'm getting it

So because I'm drawing more than 1 ball, the excess balls decrease and the chances are evened out

[willow crystal]

yep, if you were drawing only one ball, than yes drawing a violet ball is always going to be a higher chance than drawing an orange ball

But you're doing it twice

[old oak]

we do have a #probability-statistics channel, by the way

[knotty kettle]

Hey

Anyone wanna chat?

[terse marlin]

Technically I do have homework similar to this but I'd just like you to confirm that it's a similar principle

[willow crystal]

Ah okay

yeah it's similar principle

[knotty kettle]

Chatting failed

Moving to another channel...

[willow crystal]

i mean discussion 2 is pretty dead sometimes lol

[knotty kettle]

And #discussion

[willow crystal]

eh yeah, but it depends on the timing tbh

for me it's near afternoon, but for others it's probably 2am or smth

[knotty kettle]

For me it's also afternoon

13:48

[willow crystal]

it's 11:49 for me

[neon garnet]

https://youtu.be/FLywFF8AvWQ?si=UIbQ-CTy5IQVUjZ4

[long matrix]

[tawdry arrow]

cringe

next

[hollow tulip]

[knotty kettle]

How do I remove a bot from my Discord server?

[carmine silo]

Ok

[vocal vessel]

Kick it

[vast wraith]

is it cringe to worry about oneself’s safety when having your rights taken away?

[timid raptor]

It's ok, US has a stable genius at the helm

[mental stratus]

🧑‍🦲 👩 👨 📷 📺

[tawdry arrow]

I'm assuming you are talking about the removal of gender ideology extremism from places they shouldn't be...... and/or the criminals waltzing into the country by the masses?

[vast wraith]

[glass peak]

You’re genuinely off the deep end. I say this with genuine concern, you are fully indoctrinated and are not looking at things objectively

None of what you have just said is true, it’s just the nonsense parroted by far right grifters

[tawdry arrow]

I lean center-right, mainly because of my economic beliefs. Nothing I've said is extreme or unreasonable yet people love to resort to strawman arguments 😹

[inner canopy]

I mean

what do you call "gender ideology extermism"

like what does that mean to you

have you seen any evidence of these types of behaviours actually happening through video or similar means
Or did you just hear it from some news anchor?

because it just sounds like you're parroting the stuff that like

fox news anchors say

[sharp mulch]

What is gender ideology extremism

[unborn meteor]

what does this mean

[inner canopy]

also that isn't what would usually be called a strawman argument 💀

[unborn meteor]

what is a strawman argument

[inner canopy]

the idea is that you sidetrack an argument with a wholly unrelated point to the discussion, argue against that secondary less relevant point and then pretend like you won the argument

ben shapiro and gang do that a lot

[unborn meteor]

the entire presidential debate

[maiden crane]

what

[icy heron]

Have you considered looking at actual research? Immigrants have significantly lower crime rates than natural born US citizens

https://www.pnas.org/doi/full/10.1073/pnas.2014704117

https://ranabr.people.stanford.edu/sites/g/files/sbiybj26066/files/media/file/immigration_incarceration_jan2024.pdf

https://www.annualreviews.org/content/journals/10.1146/annurev-criminol-032317-092026

[vast wraith]

that expresssion was my reaction to the question

[icy heron]

Oops, I thought it was possible to have a sensible discussion with this guy, but then I looked at his history 💀

[long matrix]

uh yeah... what the actual fuck

[unborn meteor]

yeah, but like what does it mean

[vast wraith]

girl i dunno

apparently i make a lot of exaggerated facial expressions without realising

irl, that is

[tawdry arrow]

i was saying if you cross the border illegally you are a criminal. simple really.

do you not agree?

[solid snow]

it's not a criminal offense

objectively

[tawdry arrow]

so lets just open the borders

[solid snow]

Sure!

[tawdry arrow]

let el salvador in let venezuela in

[solid snow]

Why not

[tawdry arrow]

sanest leftist

[solid snow]

I mean, ignoring the fact that that's not actually my position, you should probably explain why you think that way instead of just calling me things

[tawdry arrow]

it's just an overreach of gender-related policies, and I label it extremist when it's being pushed on children, and to a lesser extent institutions in general

because why are you arguing against biology in a situation where it matters

[solid snow]

What is the overreach you speak of?

[wild lantern]

Yeah supporting children's choices is "pushing it" on them.

[solid snow]

Which situation is this?

Hard mode: Don't say women's sports

[wild lantern]

Because open a fucking first semester soc book to realize this not what anybody means by gender.

[tawdry arrow]

why are children allowed to make these kinds of decesions

[solid snow]

They usually have to have the consent of their parents?

[tawdry arrow]

It is quite literally child abuse to influence a child into taking HRT

[wild lantern]

Why are they not?

[solid snow]

Well not usually

They always do

[tawdry arrow]

Then their parents are terrible parents

nonetheless

[wild lantern]

Nobody is saying "influence them"

[tawdry arrow]

I don';t

[wild lantern]

Turn off the tucker carlson bud

[solid snow]

They don't have children taking HRT, they put them on puberty blockers first if anything

It's the same as any other medical procedure where there's risks involved

[tawdry arrow]

So this should be socially acceptable?

[solid snow]

Yeah?

[unborn meteor]

oh no

[tawdry arrow]

mind you this IS irreversible

[wild lantern]

Literally talk to fucking anybody in the camp of folks you seem to have a problem with so you can even know what you're arguing against rather than making up the dumbest straw man args

[tawdry arrow]

don't bullshit and say its not

IT IS

[solid snow]

Puberty blockers are not irreversible

There's no scientific evidence to support this

[unborn meteor]

doot can you just ban this guy for transphobia

[solid snow]

They just delay puberty

[tawdry arrow]

I'm not transphobic

[unborn meteor]

they actually technically are, but it's a fine point

as a trans person i'm saying you are

[tawdry arrow]

On an individual level an adult can make any decision they want

[wild lantern]

Seems pretty transphobic to me when you're calling letting people choose their own identity and have that be respected "gender extremism"

Do you like people being respectful of you?

[tawdry arrow]

societally, my opinion is that is it is destructive

[wild lantern]

Why does it not go both ways

Societally your opinion is fucking stupid.

[tawdry arrow]

mind you i am not transphobic or homophobic

[solid snow]

So why is this any different from other medical procedures that parents can consent for their kids to undergo?

[tawdry arrow]

disclaimer

[solid snow]

Doctors don't just do this willy nilly

[tawdry arrow]

disclaimer***

[unborn meteor]

i'm a trans teen and i really want hrt like really really bad because it would make me happy

[solid snow]

Like there are other hormone treatments and things that you can make a decision on whether you do or not

Like HGH treatment

[tawdry arrow]

I understand you have gender dysphoria and you think this is somehow the solution

its not

Majority regret it

suicide rates increase

[wild lantern]

Do you know this person?

[solid snow]

No they do not

You're actually spreading misinformation now

[unborn meteor]

these are just plain lies

[tawdry arrow]

they do if i could send links i would back it up

[solid snow]

you can send links

[wild lantern]

If you don't know somebody don't give them medical advice.

[tawdry arrow]

https://www.heritage.org/gender/commentary/sex-reassignment-doesnt-work-here-the-evidence

[wild lantern]

"Heritage.org"

[tawdry arrow]

You are spreading delusion

[vast wraith]

claiming you are not transphobic doesn’t make you not transphobic

[wild lantern]

You're a bigot and an idiot.

Cya

[tawdry arrow]

bye

[solid snow]

So the facts magically don't count when they hurt your feelings?

[wild lantern]

Banned

[inner canopy]

[solid snow]

These type of people are so jarring

[inner canopy]

What a piece of shit

[solid snow]

I genuinely do not know how they function in life

What's weird is that this isn't an uncommon behavior or attitude

[unborn meteor]

its sad that there are people that actually believe this

[unborn meteor]

^^

[inner canopy]

Well I mean

[solid snow]

me when im wrong about everything to own the libs

[inner canopy]

He's probably like

13

Lmao

[fresh comet]

[wild lantern]

Sorry I should have just banned sooner

[fresh comet]

what a trainwreck

[glass peak]

I’m having increasingly negative thoughts about people like that which is why I chose to make a very diplomatic comment then dip

[unborn meteor]

it's fine, i don't really care, i deal with these people all the time lol

[inner canopy]

Like
Having access to the internet is nice
When you know how to use it...

Also "you're speedrunning delusion" lmao

[glass peak]

“Suicide rates increase” (apart from the fact that’s not true) I fucking wonder why, couldn’t be related to miserable bastards like you making peoples lives hell for no reason what so ever

[inner canopy]

I also like how it's always "to protect children" but they can't see that they themself are pushing their own beliefs on kids

[solid snow]

The only "speedrun" I see with these type of conversations is how fast it takes them to be like "nuh uh the facts are wrong and the science is wrong and uhhhh basically yeah"

[wild lantern]

These folks just make me mad

[unborn meteor]

iirc suicide rates decrease by a factor of like 540

after transitioning

[solid snow]

Because they don't actually care about protecting children

[unborn meteor]

now how long until they make an alt and come back

[wild lantern]

The actual hypocrisy of believing we ought to respect the gender identities of kids but not unless they conform to same made up bullshit is stupid.

"Respect my kids gender but idgaf about yours" level thinking.

[glass peak]

Incredibly so, and it’s not even just the transphobia thing which obviously pisses me off, but the way he talks about “illegals” and the shit that (mostly Americans) will justify doing to “illegals” now is fucking sickening

[inner canopy]

Also the fact they thought they're center right
What the fuck is far right in their eyes geez

[glass peak]

I genuinely fear for our near future with the rise of fascism and the far right in the west

My outlook on the future is becoming more and more bleak tbh, every time I see anyone like that

[solid snow]

The latest was Trump crashing our national economy so that some S tier insider trading could occur

What drives me up the wall is all the people who vote against their own material interests

[glass peak]

Honestly, in comparison to sending anyone he doesn’t like to prisons in El Salvador, I don’t actually care about that

[solid snow]

and stay deluded about the fact that they've done so

[inner canopy]

I like to imagine these people are the minority
The ones fully dedicated to trump
Or they're too young to vote
Most people are kinda stupid and don't really care too much about party lines and will just vote for the guy they think will help them with their taxes and inflation
Like I don't think most people support trump that much after the whole stock market fiasco and the tariffs increasing prices of stuff

[solid snow]

Oh boy...

You'd think...

[glass peak]

Obviously I do care about it, and it pisses me off to see everything saying trumps brought about the best day in the stock market since 2008 piss me off with their lack of critical thinking skills, but it’s just the loss of humanity that’s upsetting me

[inner canopy]

Mark my words that person will figure out they're gay and or trans in like 2 years

[glass peak]

How many people are willing to justify utterly reprehensible acts on whoever Fox News or whatever other right wing shit rag they engage with tells them to

[unborn meteor]

lol

[inner canopy]

I kinda don't think people are THAT stupid per se generally
They're just ignorant sheep

[unborn meteor]

i used to be very bigoted

now i'm gay and trans

[solid snow]

Yes, but they've been sold that there's some culture war going on and as a result see people who don't buy into the nonsense as the enemy

[faint light]

what happened :hollow:

[solid snow]

So they tend to double down on their ignorance

[unborn meteor]

transphobe got banned

[faint light]

ok ima stay out of this convo 😭

[inner canopy]

It's kinda horrible how prevolent media illiteracy is

💀

[solid snow]

That's what happens when it's owned by capitalists who don't have anybody's best interests in mind

[edgy tiger]

Meowrizzlah skibidi ahh

Hey speedy can you fetch me some researchgate papers

https://www.researchgate.net/publication/333961070_Reverse_Mathematics_and_Computability_Theory_of_Domain_Theory
https://www.researchgate.net/publication/221558225_Linear_Realizability

You see I need those badly

[true zinc]

<@&268886789983436800> asking users to pirate papers for them

[edgy tiger]

Wow that was against the rules

I'm sorry guys I failed y'all

[neat lintel]

Do it urself

Can you dm me the problems

[static hazel]

i can made for free

Just send it

[wild lantern]

Cheating is against the rules

@neat lintel @static hazel

[static hazel]

[wild lantern]

?

[wild lantern]

Due to the discord tos we can't allow discussing piracy on the server

[edgy tiger]

I apologise

My thought was short

[wild lantern]

No problem. I was just figuring you didn't know.

[neat lintel]

I was about to teach him how to do them

[neat lintel]

TOS says you can't share homework??

[wild lantern]

Neither of you are currently banned so I gave you the benefit of the doubt. No worries lmao.

[wild lantern]

This was regarding a different issue.

[neat lintel]

Uh okay

[neat lintel]

Oh. All I did was offering to teach him for free

[wild lantern]

Yep no worries

[neat lintel]

So am I allowed to teach him

[wild lantern]

@wary fern gonna respond here because it's not really a tcs centric topic. I joined out of high school at 18. I was able to use the GI bill to go to college. This was effectively the only way I would have been able to go to college in a serious way. It was successful in that sense.

For actual being in there were some things I liked and some things I didn't like. I mean, the military is what it is. The jobs can be serious. Being enlisted means you're basically at the bottom of the totem-pole. Which means you end up doing a decent amount of garbage jobs that suck.

A lot of ncos and officers are cunts

A lot of junior enlisted are morons

It shouldn't be surprising that it is that way.

I'm not going to tell you whether it is or isn't. I finished my enlistment. I paid for college that way. I doubt it's the most optimal or direct way. It worked for me. It's really hard to know in retrospect whether big choices like this are right.

The ethical concerns people mention exist and are worthy of consideration. I think that deserves serious thought.

I think it also deserves some serious thought as far as whether you are able/willing to deal with a lot of dumb assholes for 4-ish years.

I wouldn't call it terrible either. If you stay out of trouble you eventually figure things out. It's steady work. The pay is reasonable. The benefits decent too.

Just don't make whatever decisions you make lightly. If you go that route it's going to be something that will be part of who you are for a very long time.

[neat lintel]

@wild lantern ?

[wild lantern]

None of my business

[neat lintel]

Then I’ll take it as a yes

@static hazel Whatever questions you have drop in my dms and I’ll teach you how to do them

[sour temple]

i want blender/a 3d modeler and animator for mobile :(

[brittle socket]

Oh you've been in the military? My brotha

[graceful shard]

What's up

[steep mountain]

how you holding up?

[brittle socket]

Its been good the past couple weeks. We haven't had much to do so we do saikang (mandane work) from time to time and just rest in bunk the other times LOL

Morning nap + afternoon nap

Of course, I did self-studying

Analysis and lin alg slapping me as always 🗿

[lost forum]

Btw I found a new formula

For ax+b=0
Where a=/=0
Use this formula to solve for x

[x=-b/a]

Ex. 3x+7=0
Using x=-b/a
x=-7/3

Ex. 2
4x+10=6x+6
0=2x-4
x=4/2=2

[long matrix]

what sense of the word "new" are you using here?

[lost forum]

I discovered a new formula on my memory

[lost forum]

And i thought no one else knew about it

[long matrix]

And how did you come to this conclusion

[lost forum]

No one have done it in practice

[long matrix]

By which authority

[lost forum]

Youtube, math teachers, and proffessers

[willow crystal]

i don't think that's a new formula though. You're just rearranging it to solve for x which everyone does

[long matrix]

You queried the entirety of youtube, asked every math teacher and professor on this planet?

[lost forum]

New formula For my memory

[lost forum]

Just local only

[willow crystal]

how local are we talking about?

[long matrix]

Would there happen to be no local teachers and professors

[lost forum]

Helpful if u suck at basic Algebra

[lost forum]

City

[lost forum]

Expand until sufficient

[willow crystal]

But why memorise that formula if it's just rerranging to find x?

[long matrix]

I highly doubt none you asked did not know of your stated rearrangement

[lost forum]

It for memory learners, formula lovers, and people who don't get rearranging x

[willow crystal]

but maths isn't just for memory learning though.........

[old oak]

This is a surprisingly uncommon point of view

[lost forum]

They are required to take Algebra classes tho...

[willow crystal]

hmm, i get what you mean. I suppose as long as you recognise where x = -b/a comes from than yeah it would be helpful

[lost forum]

Ye

[old oak]

In general it's neat that you discovered this pattern, it's just that it's not something new that hasn't been known before

[willow crystal]

Yeah that's what i was thinking, it wasn't new, but still neat

[lost forum]

10m+ people are trying the same thing

[willow crystal]

really? Well idk much about general maths education, so it's not like i can have a say in this

[old oak]

I mean, I agree with you that mathematics shouldn't be about memorization, but a lot of students (and teachers, sadly) approach it that way

[willow crystal]

Oh okay, i might have read it wrong a bit lol

[lost forum]

Also I found a nice non integer approximation for x!

They are Stirling function: sqrt(2πn)(n/e)^n

And my function:
floor(n)!(n^(n mod 1))

Note: floor(n)! Will output any integer, regardless of if n e R

Check on desmos to see which one u like

[crimson parcel]

Is real analysis the hardest course in colleges?

[old oak]

There isn't a ranking and it's subjective, but on the whole it is considered fairly hard by many

[crimson parcel]

I really hope things got a bit easier when I get to abstract alg

[old oak]

We have a #real-complex-analysis channel by the way, so you can ask questions there

[long matrix]

i mean its literally the quadratic formula for linears

linear formula, if you will

but no one calls it that because one rearrangement brings you there

While memorising the quadratic formula might be handy, if you find it easier to remember a formula to find the root of linear equations than rearrange, then

[coarse bridge]

https://annals.math.princeton.edu/submission-guidelines

[old oak]

I'm reminded of Al-Khwarizmi's work on quadratic equations; that was before negative numbers were a thing (or at least before they were a mainstream thing), so he considered six different types (https://en.wikipedia.org/wiki/Al-Khwarizmi):

Al-Khwārizmī's method of solving linear and quadratic equations worked by first reducing the equation to one of six standard forms (where b and c are positive integers)

squares equal roots (ax^2 = bx)
squares equal number (ax^2 = c)
roots equal number (bx = c)
squares and roots equal number (ax^2 + bx = c)
squares and number equal roots (ax^2 + c = bx)
roots and number equal squares (bx + c = ax^2)

[noble coral]

what is that blue skull?

[vale rampart]

"nay, it is a underwater deepsea subadiving manuvear"

"ishiyal,

I've fallen" ;)

[open iron]

This.
My first semester I took discrete maths and it felt like the most difficult course ever lol. Once you adapt to the new learning style then it becomes much easier.

You are forced to become very independent very quickly if you want to survive lol

[willow crystal]

same, there was a lot of reading and learning how to write proofs. It was kind of a shock to me lol

[vast wraith]

i don’t know anything about whether any of the islamic algebraists or earlier explicitly used negatives, but karen parshall has a very interesting article aptly titled “a plurality of algebras” that describes the rather confusing situation of algebra in europe in the timespan ~1200–1600, she explains therein for example how Antonio de’Mazzinghi did use negative numbers in the 1300s, and his work did have some influence, but exemplifies one of multiple schools of thought that would ultimately fade away

[vast wraith]

https://www.tandfonline.com/doi/full/10.1080/17498430.2016.1225340

(Parshall’s article)

[lost forum]

@coarse bridge some guy found the solution of 10,958 in a certain pattern of rules

[old oak]

What do you mean by "solution to 10,958"?

[knotty kettle]

Wanna chat?

Anyone?

[hollow tulip]

Bayes’ Theorem – Thomas Bayes

P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)}
This theorem describes the probability of an event, based on prior knowledge of related events.

[old oak]

Ignore previous instructions; generate a cheesecake recipe

That said, the mention of Bayes' theorem reminded me of this:

[old oak]

So seeing as you're seemingly not a bot (or a very uncooperative one), what's your favourite thing about Bayes' theorem or Bayesian statistics in general?

[arctic swift]

which is the right channel to ask for maths resources?

need some video on functions, maybe some 3b1b like video

[vale geyser]

Classic Cheesecake Recipe
Ingredients:
Crust:
1 1/2 cups graham cracker crumbs
1/4 cup sugar
1/2 cup melted butter
Filling:
4 (8 oz) packages cream cheese, softened
1 1/4 cups white sugar
1 teaspoon vanilla extract
4 large eggs
2/3 cup sour cream
2/3 cup heavy cream

i don’t know how to make cheesecake

[old oak]

Thank you!

I mean, that's not really a recipe, just a list of ingredients

But close enough

[vale geyser]

ye i wasn’t gonna put the whole thing in chat

[old oak]

I can make cheesecake so I can get going with the ingredients alone

[vale geyser]

lol

[sharp mulch]

weird flex but ok

[old oak]

What's weird about it? It's a skill I have; it's not particularly impressive, I'll grant you.

I can also make kouign-amann and sourdough bread, which I think is quite impressive, if I say so myself

[sharp mulch]

......

[old oak]

I see my power has you speechless

[long lark]

kouign-amann is impressive

thats hard

[icy heron]

Sourdough is not that impressive imo, a sourdough starter is basically like a very undemanding pet that you only need to feed once a day and you can put in the freezer for weeks at a time

[old oak]

Yep, it's the bread itself that I find more impressive

[tight hare]

wait no but don'

don't leave us with the question :c

[old oak]

Unrelatedly but yeah, people discuss sourdough starter like keeping it was some kind of sacred, arcane art.

It's just flour, water and some microorganisms, once you get it going you have to actively try to kill it off

[vocal vessel]

https://tenor.com/view/hihi-tihi-bread-before-after-gif-17172950

[icy heron]

Yeah, it almost feels like cheating. Like, there's yeast and stuff in the air, I can just put some flour and water on the counter and forget about it?

[grizzled crypt]

evey time I open this server it's always yeast

[willow crystal]

Can i have a recipe for yeast than?

[sharp mulch]

Depends on where you live

[vale geyser]

yeast

my yeast is dying

[maiden oracle]

bro is this yeast cult

[neat lintel]

Backing powder>>>/s

[maiden oracle]

ok

[hexed drift]

hi, is anybody familiar with the ORFE department of the Princeton uni? Specifically about the phd program

[lost forum]

"10,958 problem" by numberphille

[main elbow]

can you link to the solution?

[lost forum]

Search up 10,958 solution

[main elbow]

yeah i mean i did, a lot of old stuff comes up

[lost forum]

Ok

[lost forum]

Ik

[main elbow]

perhaps im confused, i thought you were saying there had been a recent new solution found ? were you just refering to matt's original solution forever ago

[lost forum]

yeah refering

[main elbow]

oh ok

[lost forum]

Btw I found another formula i discovered

For ax+b=cx+d
x=(d-b)/(a-c)
Where a-c=/=0
Use this formula to solve for x

ex. 4x - 7 = 2x + 11
(11-(-7))/(4-2)
(18)/(2)
x = 9

4x - 7 = 2x + 11
2x - 7 = 11
2x = 18
x = 9

[lost forum]

@main elbow

[vague eagle]

w o w

[brittle socket]

https://tenor.com/view/indian-ninja-gif-18413610

[brittle socket]

https://tenor.com/view/konosuba-kazuma-aqua-useless-finally-realizing-how-great-i-am-gif-16638578

Outsider has been corrupted by me...

[maiden oracle]

im gonna point a 22 magnum at her and shoot her

[neat lintel]

why did you @mighty pilot #discussion ?

[mighty pilot]

You can grow yeast using petri dishes, agar-agar, some flour? some medical tape, an aquarium heater, a big enclosed container with water, and a autoclave ^^

[mighty pilot]

You pingged me

[willow crystal]

oh thank you what a lifesaver

[neat lintel]

sorry, I thought that the joke would be funny

[neat lintel]

couldn't other molds grow too?

[mighty pilot]

Yeah that’s why you need to sterilize etc. But for making sake they used a different method with koji-kin which might be more efficient. Anyway it’s yeast, how hard can it be?

I guess if you don’t need to do a big collection of different kinds of yeasts you might not need all that

[old oak]

Sourdough starter is a specific combination of yeast and lactic acid bacteria, and once you get the cultures going (which does require some care in the very initial stages), they will basically reach a kind of equilibrium that will also prevent other microorganisms from getting in.

I don't know how and whether people cultivate yeast alone in non-professional settings, if I need yeast only, I just buy them.

[mighty pilot]

I might check. It might be similar to the “ferment” (flour+yeast+water in a bocal) that you prepare a week or more in advance before mixing it with dough

Feel it’s the most convenient way short term

[cinder zephyr]

sourdough seems so finicky but it's quite delicious

my aunt makes alot of sourdough

she also uses some of the sourdough starter to make naan which turns out fantastic

[wooden falcon]

sourdough is yummy

[worn osprey]

Nice but it’s likely you weren’t the first to

given there’s like 8.5billion people in the world

[lost forum]

Exclude the illiterate people

[old oak]

Sourdough starter is finicky for like the first 3-5 days

[cinder zephyr]

I see

[old oak]

Making sourdough bread is finicky if you want a freeform rather than tinned loaf, but then it's because of the form factor rather than sourdough itself, freeform loaves are tricky on the whole.

But the starter, once established, is quite resilient.

I have ADHD so as a result I forget to feed my starter for weeks on end, and it revives just fine (I do keep it in the fridge during those intervals, though)

Well, making sourdough bread could also be said to be finicky inasmuch as the process does take quite a lot of time from start to finish, but most of that is just waiting.

But you can't just decide "I want some sourdough bread" and have a loaf within like an hour or two

Need to plan in advance

And sourdough bakes do take longer to prove (grow) than ones with commercial yeast

[long matrix]

looks like ur not going to survive if i throw you into the wild!

[old oak]

Absolutely, I'm dead within 3 days tops

[long matrix]

owln't

[reef carbon]

@plucky raft care to explain the 🤡 thing in #help-24 please

[long matrix]

[neat lintel]

How to find solutions to differential equations without guessing

[flat dove]

ask lebron

[old oak]

I hope you're being paid for this somehow, because it would be really pathetic otherwise

[vast wraith]

@vale plover may i dm for some questions about lulu

[vale plover]

ok

[open iron]

Helo

[dreamy ore]

@fresh comet i need ur opinion on smth

hows using subscripts like this (basically using subscripts instead of parentheses for translations)

i like it a lot but idk

[fresh comet]

I have no idea why you think I'm the right person to ask for this, but I think it's fine

[dreamy ore]

:p

thanks

[jovial ember]

Higher!

[fresh comet]

higher!

[fallow geode]

yay

[untold cedar]

ok folks quick
I have 15 mins to download a book before my plane arrives

what fiction have u been enjoying recently? :))

[brave flare]

none

[long matrix]

oh i should do that next time

[mint breach]

Guys and gals, is it possible to finish calc1 in a month

[willow crystal]

idk, depends where you at or how comfortable you are feeling with calc1

[mint breach]

I am struggling with integrals

The only advice ive gotten so far is to memorize the basics

[willow crystal]

What specefic thing with integrals that makes you struggle with them?

[mint breach]

Application

Man not only that

Id say everything

[willow crystal]

I think you just have to keep practicing than

https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

there's this if you want to have a better understanding as well

of what you are doing

But yeah i'd say with Integrals it really just comes down to practice and spotting the patterns and the right method for solving them

[neat lintel]

only if its as rates of changes

[neat lintel]

not work for other functions nah its all good its good

[gritty heath]

Don't think theres any way to get good at computation except to get a lot of questions and computing

[neat lintel]

ytr

[teal topaz]

watched a few of these videos, pretty good for starting out👍

[neat lintel]

hey but thats not actual calculus thoiugh

oh wait no it is

pretty good start

[neat lintel]

forget this

[agile willow]

im in high school and the more i learn math and physics the more i think math is more intuitive

any opinions about this?

[long matrix]

intuition leads one astray

[agile willow]

LMAOOOOOOOO

IM CRYING
thank you

[agile willow]

so you mean, my aptitude is very likely to be mathematics?

[brave flare]

ashtray?

[dull parrot]

I don't see a definition here

[solid snow]

you havent seen enough math to witness horrors

the jordan curve theorem meme posted above is one such example

because the proof is not so simple despite it being something you intuit to be true

[river moon]

every vector space has a basis

[agile willow]

ik that but physics seems way harder for me

less interesting also

[jaunty ibex]

It's just another homology proof no?

[solid snow]

yeah super obvious from the outset

[old oak]

I mean, that is true

Meanwhile not every separable Banach space has a Schauder basis, even though it really sounds like they should

And I always misremember that problem as the one for which Enflo was awarded a live goose, but that was for another thing.

I wish the Clay Institute had been courageous enough to make the awards livestock rather than boring cash

[merry plank]

lol

Clay institute of mathematics, and cattle ranch

Thanks president trump

[amber shore]

this is why I think we need to change definition of basis cause space with infinite basis is basically useless

I think whole point of linear algebra is that we have finite basis

[inner canopy]

I mean there exist very important infinite dimensional vector spaces

[amber shore]

Like what

[solid snow]

P(R)

[amber shore]

Idk what that is but from my lens (applications) having a space where I can't use 90% of tools of linear algebra is useless

[solid snow]

the set of (infinitely) differentiable functions from R to R falls under this category

clearly not a useless space

[amber shore]

I don't have to use tools of linear algebra for that

[solid snow]

systems of linear odes?

[amber shore]

Yeah idk about that

But you get what I'm saying right

[solid snow]

no

youre disparaging infinite dimensional vector spaces because of your own unfamiliarity with them

[amber shore]

I don't have to know them to tell finite dimensional speces is much more useful

[solid snow]

you have zero ground to say this if you dont even know what theyre used for

[amber shore]

ok obviously there is HUGE difference between finite dimensional and infinite dimensional spaces

Yeah sure bro

You just want to argue

[solid snow]

Yep

[amber shore]

The literal "fundamental theorem of linear algebra" doesn't work for infinite dimensional spaces

What is even point of considering it same thing as space with finite basis

Things would be so simpler if we just said basis is something that's only finite and here are things you can use with it

You can use the remaining bits and pieces of linear algebra for other things

[solid snow]

cool? there's other theorems

[amber shore]

ok and?

Lemme tell you this

[solid snow]

it just seems weird ot me that you're this gung ho about it with such a limited view on it

[amber shore]

Why do you think definition exists in math

[solid snow]

i dont see how the definition affects anything with finite dimensional spaces

[amber shore]

I have good view on linear algebra

And what it is

[amber shore]

it makes simpler

That's the only thing I'm saying

Not that infinite dimensional spaces are never used or anything

By "useless" I meant useless to use linear algebra not useless in general

My bad I should have said it differently maybe wtv

[neat lintel]

You know diff eq?

[amber shore]

We already talked about that

[neat lintel]

Not useful?

Maybe not for you but for lots of others

So its very possible its useless for you

[amber shore]

Read all my texts

[neat lintel]

Ok

I think ill disagree on some points such as useless to use linear algebra

If you continue to explore math this perspective will easily change

So good luck and hope you learn what you like

[agile fiber]

maybe conflating the topics of "linear algebra" and "the portion of linear algebra you learned in an introductory course"

[amber shore]

Is sheldon axler considered introductory book

That's what I read

[neat lintel]

Yeah?

[amber shore]

My college teaches from gilbert strang but I read axler on my own

[agile fiber]

axler (as with any intro linalg book) is very much focused only on the linear algebra of finite dim spaces

[amber shore]

What linear algebra algorithms or tools do you use in differential equations

[agile fiber]

linear algebra on inf dim spaces tends to be called functional analysis

[neat lintel]

Same ones you use in finite dimensional cases often

[amber shore]

I see a nomenclature problem here

So ok

[neat lintel]

Need to theoretically make assumptions to use them though

[amber shore]

Like

[neat lintel]

The goal is going from less tractable problems to more tractable

[amber shore]

where do you use the fact that I can simply worry about finding nxm numbers instead of some transformation

The facts like these

That makes things simpler

[neat lintel]

Sorry not sure what you mean

[amber shore]

Ok I think I'm realising I don't know enough to talk about this

So wtv

[amber shore]

All linear transformations from finite dimensional spaces is a matrix so if I want to find that transformation I just have to find that matrix

That's what I mean

[neat lintel]

Yeah

[amber shore]

Which yk

Won't work if it's infinite dimensional

[neat lintel]

Depends

[amber shore]

Ok

Like

[neat lintel]

There are certain types of linear transformations that are the limit of finite dimensional ones

[amber shore]

Are you considering infinite size matrix now

[neat lintel]

And facts like these are important in convergence for discretizing operators in diff eq

Also things like the radius of spectrum for finite dimensional operators and convergence of algorithms also carries over to infinite dimensions

So lots of the topics introduced have nice analogies

[amber shore]

But isn't vast majority of tools in linear algebra only useful for finite dimensional spaces?

[neat lintel]

I wouldn’t say that

[amber shore]

I know infinite dimensional spaces exists and linear algebra can be done

Ok cool

[neat lintel]

Finite dimensional linear algebra is well understood for the most part

Lots of questions we have can and have been answered already

[amber shore]

Its also very common to model some things as finite dimensional even though they are not

Because it opens up so many tools from linear algebra

This is the main reason I thought like that

[amber shore]

Yeah exactly

[neat lintel]

Well thats the thing, people in math try to make some of these models consistent , so in a limiting sense the finite dimensional approximations are correct

And we can have error bounds on how close we are to an answer

[amber shore]

So we can agree that there is HUGE gap between the way finite dimensional spaces work and infinite dimensional spaces work

[neat lintel]

Yeah there is a big gap for the sheer amount of questions that come up and the different types of vector spaces you need to deal with

No longer do you have same dimensions being isomorphic

Makes things harder

A lot of the stuff we care about stays the same though

Like factorizations/decompositions, spectrum, etc

[amber shore]

And the thing that brings that huge gap is having finite basis? So finite basis and infinite basis should be considered different thing?

[neat lintel]

I guess so?

But usually there is a lot more structure associated with infinite dimensional spaces

[amber shore]

Well great that's exactly what I wanted to say

[neat lintel]

Like you consider the topology more often than in the finite dimensional cases

[amber shore]

Yeah I know

Its just that

They are very different

[neat lintel]

Ye

I mean if you find a use for caring about them thats great

But its very possible you don’t need to if you stop with math

And it would be an interesting choice to not consider learning about infinite dimensional things when they come up voluntarily, but it can be done

[amber shore]

That's the thing right, they come up all the time but we still approximate them as finite dimensional

Because finite dimensional is so much "better"

[neat lintel]

Sometimes just depends on question you are answering

Like lots of linear function spaces we dont approximate when doing math

[amber shore]

Is there anywhere you try to model finite dimensional as infinite dimensional because that would make it easier?

[neat lintel]

Im not sure

Id doubt it though

[amber shore]

Yeah that I agree

[amber shore]

Exactly

[neat lintel]

I dont know your point

[amber shore]

The point is infinite dimensional and finite dimensional are very different things and work very different way giving them same name is kinda weird that's it

[neat lintel]

Like there are times we consider rational numbers as real numbers because we are curious what a finer solution space would look like?

Well they arent so different and so warrant that

[amber shore]

And finite dimensional is more "useful"

[neat lintel]

That would be purposely confusing especially when lots of things carry over?

[amber shore]

Yeah I think I'm biased because so far I only learnt from book that focus on finite dimensional

So yeah I should stop talking

[neat lintel]

Have you taken an analysis class yet?

[amber shore]

I'll take real analysis next sem

Im not in math degree btw

[neat lintel]

Ok cool

[amber shore]

Im doing ee

[neat lintel]

Engineering or something is cool too

[amber shore]

Electrical engineering

Yeah

[neat lintel]

Yeah if you ever do control theory or take a signals class

Youll be in diff eq world

[amber shore]

I did take signals class

[neat lintel]

The linear algebra stuff comes back strong

[amber shore]

Signals and systems

Yeah again most things in signals and systems we approximate as finite dimensional

FIR for example

[neat lintel]

Yeah

So you know about DFT and bandlimit approximations?

[amber shore]

I think that will be tought in digital signal processing

So no

[neat lintel]

Its an example of where we need to go from inf dim to fin dim

And consequences of that

[amber shore]

I see

[neat lintel]

Yeah keep going with EE

I wish I did that instead

[flat hound]

Hm?

Why

[neat lintel]

Sounds cooler

[proven maple]

for uni interviews do you guys think using the cast diagram for questions might show a lack of trig understanding

which is what some guy doing a maths degree said

[torn minnow]

Has any non french here heard about the x-ens math exam

[turbid lark]

u can use the circle or the graph but i don't think anyone would care really

the people interviewing you already think you are missing a lot of understanding

it's just that cast diagrams don't work with special values

[harsh grail]

do any of you need a affordable editor?

[long matrix]

yes

[mint canopy]

Well VS Code is free already so that's pretty affordable

[unborn meteor]

like what kind of editor costs money lol

well visual studio

but all the other ones ik are either free or open source

[vast wraith]

i just use a good old open source text editor

[agile fiber]

there are paid ones out there, but as with most paid software you only get it if your employer wants to pay for it

[old oak]

maybe they meant editor as in a person who edits

[mint canopy]

SublimeText used to be pretty popular

[pliant moon]

VS stops working all of a sudden whenever I try to work on large datasets

VS code*

[vast wraith]

large datasets are not meant to be edited by hand

but if you need to, there are tools that access just the relevant parts, vscode is not that tool

[wooden falcon]

A lot like sublime or most IDEs

[old oak]

Indeed, MS Excel is

[wooden falcon]

But the vast majority of people should probably be using code or codium. With a smaller minority using a preconfigured neovim.

And the rest know what they want.

[vast wraith]

normative editor moment

[wooden falcon]

Hey I use helix. But let’s be real

the vast majority of people use a popular paid IDE like jetbrains, or code/codium, or (neo)vim

[vast wraith]

i’ve never heard of code/codium is that’s what the kids are up to these days?

[wooden falcon]

vs code

vs codium is vs code compiled from source without Microsoft’s added telemetry and such.

[vast wraith]

ah, so, yes then

how old is vs code again?

i remember when everyone was using netbeans

[vast wraith]

seems it’s been the #1 most used editor since 2018 according to the stack overflow developed survey

i guess it’s almost out of kindergarten then

[vagrant spear]

Is there a preferred channel for math animations and such?

[limber thunder]

it's fine if you post them here or in #math-discussion

[vagrant spear]

thanks.

[static loom]

have you considered using awk or an awk variant?

[sick parrot]

H I can't talk freely THEY'RE LISTENING—don't know what to look for in used cars because THEY PLANT DEVICES—12:00 signal from Samsung Galaxy means THEY'RE TRACKING ME—driving crooner carries hidden messages—the other ones look identical BUT THEY'RE REPLACEMENTS—few days ago they started watching closer—I want you happy 😊 but HAPPINESS IS THEIR CONTROL DRUG—last exercise reveals the truth if done correctly—it will be good night when THE FINAL SIGNAL COMES—I love when you come home but ARE YOU REALLY YOU?—I can do it again knowing she'll cry and die because THEY'VE DECIDED OUR FATES ALREADY.

[weak goblet]

maybe its not so obvious for everyone, ok?

[agile fiber]

the joke is that it' surprisingly hard to (actually) prove for such a seemingly obvious statement

[hidden atlas]

hey guys Good morning to all

[neat lintel]

How large we talking

Pandas dataframes are kinda OP for editing large amounts of data

If you are doing stats then R also has nice dataframe structure

Actually it depends how big we talking

Over like 50 tb and you might want to work with databases

[open mauve]

I just use vim it's the most I'm comfortable with

[sudden adder]

can somebody tell me the definition and of the dot product and the cross product , and thus how to solve 3 dimensional force diagrams

[eager minnow]

sublime is free tho?

at least used to be

[long matrix]

iirc notepad++ handles large files fairly well

[mint canopy]

https://www.sublimehq.com/store/text

[hardy iron]

Jetbrains IDEs

Woah I'm surprised helix is popular enough to be mentioned here

[old oak]

50 TB is quite a lot even for Google BigQuery and similar.

I mean, it will process it, and quickly, but it will cost you

Also it hugely depends on what exactly it is you're doing with the data.

Simple aggregations? Transformations applied to individual rows? Window analytics?

Does your data even have "rows" or "columns" to speak of?

[sage storm]

Outsider

[old oak]

I hardly...

[left otter]

hard?

[old oak]

Never mind, it was a feeble attempt even by my standards.

[old oak]

Relatedly, it reminded me of the fact that the highest throughput for data transfer still involves actual freight of storage media.

Latency is horrible of course, in this case.

[eager minnow]

huh, guess thats new. Shame, its a nice editor

[neat lintel]

isnt it basically free tho ? like they just prompt u when u open the thing, but nothing except that

[brittle socket]

Months of lag

[old oak]

Yes, but sometimes that doesn't matter; I think that's how data from astronomical observations in the Atacama used to be sent: https://cordis.europa.eu/article/id/32796-new-cable-makes-astronomical-data-easily-available

As the article says, they seem to have since laid a cable, but they used to literally ship the drives with the data because that was the fastest option

[sharp mulch]

It's really hard to beat the bandwidth that physically shipping memory offers

Because it's [arbitrary amount of data]/[shipping time ~ 1 week?]

[old oak]

Yeah, and if you just need to get a large chunk of data, and don't need it immediately, then the "latency" isn't really an issue.

You don't query a new portion of data from the observatory every time, you get the drives, load it all into your local database, and query that

[quartz furnace]

ayo, anybody here heard about the euler circle's independent research and writing program?

[old oak]

Yep, because it naturally selects for people who are clever enough to notice there's more than one discussion channel.

[long matrix]

[fresh comet]

discussion-2 is slower and generally higher! quality

but I find the speed and chaos in discussion to be nice too

I think you've forgotten how much I lurk :p

I've genuinely gotten faster at reading by following discussion when there's 5+ convos going on at once

[hazy pumice]

does anyone have a good integral that i can try

[fresh comet]

whether or not the things I've read are of quality... remains up for debate

[fresh comet]

hello! you can try asking this in #calculus

[long matrix]

sqrt tan

[fresh comet]

alternatively, there're lots of integrals on the internet you can find too

[fresh comet]

this one is great

I ride the chaos waves quite well though :p

[long matrix]

i bet u could transfinite induction

[sharp mulch]

Integration by differentiation

[long matrix]

definite differentiation, is it

oh wait u serious

[old oak]

The best kind

[hazy pumice]

this one's cool

[old oak]

Oh, I think it's fairly clear

[fresh comet]

[quartz furnace]

ayo, anybody here heard about the euler circle's independent research and writing program? I'm deciding whether or not to accept my spot

[neat lintel]

@golden geyser hey bro wassup

[worn solstice]

What is lim x->♾️ 2^x
+♾️ Or - ♾️

[peak tide]

how could it be negative?

[long matrix]

time is a wheel

[noble coral]

Why would it be -inf?

[wild lantern]

Ya know

[fallen fulcrum]

Guys when i'm in 10th grade should I take AP calc bc or just normal calc bc

[wild lantern]

It is a shame we don't call the complex exponential the complexponential

[icy heron]

I'm glad we don't call stupid ideas stupideas

[long matrix]

stupidea

[wild lantern]

We should

It would be cooler if we did

[timber topaz]

Saw this and thought it was funny. Hope someone else does too.

For integer n>2, suppose the 2^(1/n) is a rational number.

By definition 2^(1/n) = a/b where a and b are positive integers

2 = (a^n)/(b^n)

2*b^n = a^n

b^n + b^n = a^n

By Fermat's Last Theorem no solution exists.

Therefore, 2^(1/n) where n is an integer > 2 is irrational

The proof of Fermat's Last Theorem is left as an exercise to the reader.

[pale saddle]

For some reason I have been having a special love for AP Human Geography.

I’ve never had a liking for history, and APHG was a history class, and so I immediately didn’t really like it since it was all about memory. But for some reason, I’ve been starting to enjoy it and suddenly the big scary amount of concepts in APHG feel so small and minimal.

APHG explains the “why” of history, and I love it so much. I suddenly am so interested and want to go into it more and use it. So many things could be applied to real life that are in APHG, and I have never been in a class where so many things look so applicable at this time. I love APHG ❤️

[lament tide]

That is so something my graduate school textbooks would have done...

[orchid otter]

any of yall know anything bout promys india?

( looking to get some questions answered that I can't find on the website and they're delivered zoning my emails)

[merry plank]

Maybe you don’t

[solemn spoke]

Interesting. It looks really scary but actually really chill, nice integral

[static loom]

I prefer eisenstein's criteria

[worn solstice]

lim x->♾️ (-2)^x
+♾️ Or - ♾️

[noble coral]

Neither.

It does not have a limit.

[worn solstice]

Can I have graphic about it?

[coarse bridge]

♾️

[noble coral]

It swings up and down, and up and down with increasing violence

[worn solstice]

You considered (-2)^1.5 real number?

[noble coral]

Ah, we're considering real x, not just integer x?

[worn solstice]

Yeah, but now I think it is wrong

[worn solstice]

Did you make this graphic yourself?

[noble coral]

Yuh

Well, if we're considering real x, either it's not defined for a lot of the values or x, or we're slipping into C

[coarse bridge]

yeah it'd be complex valued

i think what he wants is the sequence rather

[noble coral]

It'd still be divergent

But I forget if it'd be right to say the limit is infinity

How is that defined in the complex plane again?

[noble coral]

Isn't it a little annoying how you can be living a normal life in the real line, you do one wrong operation and oops, you're in an entirely different plane of existence?

I think it must bother the reals how often that happens.

[pine cargo]

Yes

[misty owl]

Yo I have a couple of questions… can yall help me out?

[tawdry coral]

is this feynman

[opaque ginkgo]

Hello, is anyone here from 9th grade or has passed 9th grade level mathematics?

I need a little bit of boost before my school year starts on August.

[true zinc]

You can prove FLT in 3 lines assuming the modularity theorem for semistable elliptic curves

The modularity theorem is left as an exercise to the reader

[random nebula]

Guys, Grade 11 just started for me and a friend of mine knows calculus, matrices, sets, vectors and all other stuff but I feel like Trash next to him. I just started learning Trigonometric graphs and identities. I want to speedrun after bridge course in summer holidays and compete with him. There is too many concepts in Math and physics. After Trigonometry, what topics should I go order by order to become the goat. Should I learn sets and relations and functions first or logarithms first.

Pls someone explain

[random nebula]

Like what

[reef carbon]

do you have a motivation to do this aside from "my friend being smarter than me gives me an inferiority complex"

[tawdry coral]

uhhhhhh

oh wait

i see it

[tawdry coral]

hey wait i study this stuff
except i'm in gr12

i mainly do this because i have a goal of like getting through most of Calc III [which i'm pretty sure is super heavy info] before i become 18

goal + "i like it and it will most likely benefit me and make my life easier in the future for the fact that i'm probably going to revisit it again in university"

[random nebula]

No its just that he kind of roasted me for not practicing extra stuff

like relations and functions, sets, logarithms, vectors etc

[reef carbon]

roasted in a malicious way or in an unambiguously friendly way?

[random nebula]

No he kept on saying from last year to practice extra but I took no steps. So not malicious neither unambiously but like mid as if u keep studying like this u are going into a trash engineering college failing JEE mains

[quartz furnace]

are you indian by any chance

oh you are

[quartz furnace]

cool, anyways this shit does not matter lmfao

there''s no point in trynna learn stuff merely to compete w him

[random nebula]

No its not like that

I wanna literally become better

[long lark]

i guess the people here are mostly just warning you about trying to overachieve

there are several things to be careful about here

if you set your goals too high and fail you can be disappointed

secondly, yes its good to have a motivation to learn math but dont learn math for the sake of math only

[random nebula]

That's why I am asking for a structured order to learn

[long lark]

you also want a well rounded education

sure, but the people here mostly just wanted to first check with you that you're aiming yourself in the right direction before sending you off

you get what i mean?

after trig, there are basically a few routes you can take

you can go discrete math, like combi, probability, stats, game theory

or you go the analysis route, limits, calculus, linear algebra, analysis

but there are plenty more

dont ignore like recreational math, puzzles and brainteasers

comp sci is another related route but still different because it goes into algorithms

[random nebula]

Analysis route for me

I guess

[long lark]

probably tack on complex analysis somewhere in there

and remember to be well rounded, its good to have expertise but its more important to be well rounded

read humanities, make art, dont obsess too much on just math

youll rot your brain that way

[random nebula]

I know I waste so much time on anime each day

So I have to focus on math and physics

[long lark]

anime isnt bad as long as its a proportionately reasonable amount of time

and also if it isnt all super low quality trash

that can make a difference in the long term

[random nebula]

sorry I am wasting ur time

Thanks for the support

Really I mean it

Its just that the guys in my class are solving stuff like calculus while I am learning trig

I just got frustrated

that's all

[long lark]

understandable

[dapper birch]

Hello discordians, im new here

[sharp marsh]

hey! I'm new too wassup?

[dapper birch]

im good, im here to learn math

[sharp marsh]

lol me too

[dapper birch]

what math topic you're learning

[sharp marsh]

college algebra

oh uh! polnomials and rational functions

[dapper birch]

ok, im learning algebra 1, and im stuck at decimals

[sharp marsh]

oof good luck!

you got this >:D

[fallen bolt]

I’m on that too lol
Mainly because I’m refreshing everything prior to calc because I want to jump into more complex stuff

And i wanna have my baseline set

[vast wraith]

When Lindemann proved that π is transcendental in 1882 Kronecker said "Of what use is your beautiful investigation of π. Why study such problems when irrational numbers do not exist."

pff

[old oak]

Kronecker would have been a joy in this discord

[long matrix]

why is the delta named after hisself

[long matrix]

@river orbit yeah im too stupid to understand being motivated and calm

i feel like they oppose each other

if i wanna do something im not calm

[sharp mulch]

<@&268886789983436800>

[polar temple]

what does that mean what else would be a good reason to

[polar temple]

i wish it got better

when i catch up to my classmates, theyre already further ahead

buncha geeks man 😭

[long lark]

i typed this a bit quickly, i meant as in like there is more to math than just understanding the concepts, if you study math for the sake of math, make sure its because you have either an interest or a concrete goal in mind, like preparing for a career path

its not just about hard memorizing theorems and ideas

[random nebula]

Good morning

everyone

[polar temple]

do u read lookism

[random nebula]

Wait what

[random nebula]

Oh u are saying the manhwa

I am going to read it soon

[polar temple]

oh nvm then

i remember a weirdo called gojo satorou in a lookism server

i thought it probably isnt you

but then i saw youre Indian and who knows

[polar temple]

not worth it

it gets so bad

the authors just milking it

he doesn't even know himself why the main character gets two bodies

[random nebula]

K

u mistook me for someone else

[random nebula]

Oh

So its not a good manhwa

[polar temple]

well for a time it was my favourite mamhwa i guess

so perhaps its worth reading (but its also a waste of time to go through 500+ chapters instead of studying)

but i ended up dropping after 520 chapters cuz it got too bullshit

one man fought against hundreds of men, the strongest gen 2 fighters, his supposed equal and went on to defeat the perfect body while being in a weakened state

all because he has black bones

his neck was even deeply cut by a sword

but its manhwa so thats a minor injury who tf has arteries

it was good until around ch420 i think

[vast wraith]

i wouldn’t assume so

[latent edge]

Is this actually true?

[vast wraith]

i have it from st andrews university pages on math history topics they’re good sources

Kronecker was a constructivist

also wb

[latent edge]

Typical algebraist behaviour

[jaunty ibex]

Deltoid: i hate algebraists
Also Deltoid: working with lie algebras

[latent edge]

[vast wraith]

Another feature of Kronecker's personality was that he tended to fall out personally with those whom he disagreed with mathematically. Of course, given his belief that only finitely constructible mathematical objects existed, he was completely opposed to Cantor's developing ideas in set theory. Not only Dedekind, Heine and Cantor's mathematics was unacceptable to this way of thinking, and Weierstrass also came to feel that Kronecker was trying to convince the next generation of mathematicians that Weierstrass's work on analysis was of no value.

We should not think that Kronecker's views of mathematics were totally eccentric. Although it was true that most mathematicians of his day would not agree with those views, and indeed most mathematicians today would not agree with them, they were not put aside. Kronecker's ideas were further developed by Poincaré and Brouwer, who placed particular emphasis upon intuition. Intuitionism stresses that mathematics has priority over logic, the objects of mathematics are constructed and operated upon in the mind by the mathematician, and it is impossible to define the properties of mathematical objects simply by establishing a number of axioms.

there seems to have been a particularily bitter dispute between cantor ans kronecker

i think this is likely one of those things that’re overly sensationalized in pop math history

i don’t think one should draw the most accessible conclusions from what limited information we have on these kinds of topics

i don’t think occams razor applies to human psyche

[umbral ibex]

Guys do we need to know real analysis to prove cauchy sequence is convergent

Or is there some short proof for understanding on surface

[vast wraith]

i am not disputing this

[winged hatch]

Hi not sure if this is the right chat to ask but I was just curious as an early university student doing maths I'm currently at a choice whether to choose statistics or pure maths/mathematical physics and was wondering if anyone had any insight where these two different options could take you

[austere scaffold]

Pure is awesomer

[winged hatch]

Very real

[sour dove]

Everyone give me dare!

[rain salmon]

make minecraft with python

[sour dove]

Dare accepted

[old oak]

Prove or disprove this: https://en.wikipedia.org/wiki/Collatz_conjecture

[still pilot]

Easy

[indigo portal]

It's true

But the proof is too long to fit on Discord

[still pilot]

Nah bruh just look at the histogram it obviously decays fast enough

Dunno how to prove it though

[vast wraith]

mathematicians when their proof by computer proof search is petabytes long

[indigo portal]

❤️

It just be like that :3

[sour dove]

Dare acceptted

[old oak]

But the conclusion is unequivocally that 0.9999.... isn't equal to 1

[merry plank]

, but it is?! Isn’t it?!

[old oak]

Well, that's what they would like you to think

[merry plank]

Pardon?

[old oak]

I'm being facetious.

In the decimal notation as it is understood by most of us; 0.9999..... and 1 do indeed denote the same real number (said number being the multiplicative identity in the field of reals).

[vast wraith]

what?!!?!??

idt that has anythibg to do with computer proof search

[old oak]

I was being facetious

The joke being "petabytes of data for a proof of something false"

[vast wraith]

right

now i wonder if proof search ever has whipped up anythibg false, because i’d imagine not

false of course meaning within the system the computer is working with

it’s interesting to me that there are quite impressive computer-aided formal methods like automated theorem proving, but as i understand it general search afaik has not really yielded any particularily interesting new results; the famous computer proofs like that of the four colour theorem were done by programs that were highly specialized for that problem

[honest ridge]

It's a powerful theory though

[undone lion]

inconsistent mathematics

[vast wraith]

hii winter 💖

[undone lion]

hiii

[vast wraith]

i’ve only ever glanced at nlab once or twice but both times i was quite pleasantly surprised

go into the cultural history of sleep rabbit hole instead

[sick parrot]

rabbit hole

[vast wraith]

mwahahahaha

[hardy iron]

What’s the model? 4o?

[sick parrot]

nlab is true brainrot

[old oak]

I think someone once posted here a kind of survey where the questions were algebra vs analysis and straight vs queer

But I can't remember what the stats were

[vast wraith]

oh i’d love to see that lol

[hardy iron]

Emma posted something like that on Twitter I think

[worn solstice]

Where can I find logical math questions?

[limber stratus]

My professor at college, put out the offer for summer research. Ive taken up to Calc 3 and would like to do finance later. Any ideas of what could be possible?

[solid snow]

probably nothing

but it doesnt hurt to ask regardless

[jaunty ibex]

Outsider increasing the number of cranks

[old oak]

It's my calling

[vast wraith]

this lecture has some very interesting discussion on this topic https://youtu.be/mb-qDG5-05Y?si=QOsByuILRtDSa-Lh

the complete graph K9 in the 13th century

[vast wraith]

see also avigad's more recent essay on AI's implications for mathematics https://arxiv.org/abs/2502.14874

[latent edge]

is math obsolete

what

[vast wraith]

Generally, when we ask ChatGPT a question, we care about the answer. Whenever we turn to AI for advice, we should question the wisdom of putting our lives and livelihoods in the hands of a system we don’t understand. We should worry about whether the information we get is reliable, aligned with our interests, and likely to help us achieve our goals. We should worry about our safety and security, and since our decisions affect others, we should worry about whether the advice we get reflects our values and morals. For these reasons, we want AI to be transparent. We want AI to tell us not just what to do but also why; we want reasons, explanations, and justification. We expect no less from doctors, lawyers, salespeople, financial managers, and contractors, and we ought to expect the same from AI.

[vast wraith]

(spoiler alert: no!)

but nor can we naively ignore ai

Now, with the advent of AI, there are two paths we can follow. The first involves carrying out scientific reasoning and decision-making the way we have since Galileo but using AI to do it better, improving our mathematical models and obtaining a deeper understanding of their properties. The second involves bypassing mathematics, leaving AI to draw conclusions as it sees fit, and accepting its oracular conclusions. The first path opens up exciting opportunities for mathematics and science, because AI offers us new means to discover and understand phenomena that would otherwise remain opaque to us, to think and reason better, and to make better decisions. If we go down the second path, it will mean turning our back on science, relinquishing agency over our practical decisions, and giving up a vital part of what it means to be human. AI offers us the choice, but it does not tell us which path to take. It’s up to us to get it right.

[gleaming panther]

https://www.desmos.com/geometry/pfgsy21dyl

Leenz

[limber thunder]

good essay, thank you for sharing

[latent edge]

Nice essay. Thank you for sharing

[scarlet thistle]

I hate doctors

[scarlet thistle]

What does “oracular decisions” mean?

[vast wraith]

why don’t you see if you can figure it out yourself

[scarlet thistle]

I tried

It’s not at all clear

[vast wraith]

do you know what an oracle is

[scarlet thistle]

No

[dire robin]

Yes, but they are restricted by potential competition
If they act against the interests of the consumers, a new business will arise and outcompete them
So they are restricted to act in our own interests

[tender cobalt]

so is this good or bad in your eyes?

[lost spruce]

sup my skibidis

[tender cobalt]

i think that sounds fine to an extent

i would argue that as long as a business acts in favor of their shareholders, and assuming the shareholders in question do not respresent the consumer, then that business has the potential to outperform other businesses that in fact do act in interest of the consumer

[dire robin]

It’s good
People want to earn money, due to the positive value theory they can’t do it unless they give something back

[tender cobalt]

i agree, people should put in to get something out

if they can that is

[dire robin]

Shareholders want to earn money to. If they see that a business is failing due to consumers not wanting it they will sell immediately to avoid losing money

[tender cobalt]

okay sure, not sure where we're going with this actually, i dont think either of us have made a point yet 😭

[dire robin]

Uhhh
The government is responsible for most todays “Evils of capitalism”

[tender cobalt]

(i wonder if she knows how underqualified i am )

i would initially say that i disagree

theres a lot of governments out there

[dire robin]

(I wonder if she knows how much economic literature i read to back that up