serious-discussion

[fresh comet]

oh there are many

what are you looking for?

[young quartz]

I wanna go through Aluffi's UG text on Abstract Algebra

and do Real Analysis slowly alongside

[fresh comet]

I see

I don't know of anybody who is currently reading Aluffi (though I'm near certain there are many), but you can always ask questions about introductory algebra in #groups-rings-fields and about introductory analysis in #real-complex-analysis

[young quartz]

that I will do

aluffi does rings first

interesting

[fresh comet]

[stone fulcrum]

mathematics

[random tendon]

i need help

[sonic sentinel]

online "classes" due to rain today

[sonic sentinel]

!help

[quasi jetty]

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

[sonic sentinel]

the school had like 10 hours to prepare before school start so i don't blame em

anyway a bunch of classes we either have assignments and thats it or we just don't have them at all

what do i do with my time today :)

[stone fulcrum]

read some book

[sonic sentinel]

based idea

[random tendon]

!help

[quasi jetty]

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

[sonic sentinel]

lol that's the command to bring up instructions on how to get help

[slim drum]

i dont able to understand why discrete mathematics needed help me please by showing wher used this stuff

[solar hawk]

Why are you reposting this in multiple channels?

[fluid terrace]

Cause he/she needs help?

[solar hawk]

That is not how you get help.

!help

[quasi jetty]

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

[solar hawk]

#rules

Actually cooked

[unborn delta]

fr fr

[solar bronze]

Hmmm, I just realized my question of symbolic arithmetic is directly related to my claim that numbers are distinctiveness+comparability.

If numbers are distinctiveness+comparability, then it follows that there always exists $x = y$ , $x\neq y$, $x<y$, $x>y$ for some numbers $x, y$, but this is strictly the assumed definition, so the statement here is:
$$\forall x,y \in\text{the set of all possible numbers, } \exists x,y\text{ such that } x = y, x\neq y, x<y, x>y \leftrightarrow \text{all numbers are strictly defined by the essential notes distinctiveness+comparability}$$

[fathom swallow]

Andrew Porter

[solar bronze]

I think it's getting cutoff lol

$\forall x,y \in\text{the set of all possible numbers, } \exists x,y\text{ such that } x = y, x\neq y, x<y, x>y \iff \text{all numbers are strictly defined by the essential notes distinctiveness+comparability}$

[fathom swallow]

Andrew Porter

[solar bronze]

I hate this bot

[glass peak]

It’s not the bot it’s your horrid tex lmao, just come out of math mode to write text don’t use \text

[solar bronze]

Ok ok fair

Yeah but one time it literally failed to correctly write g_{n+1} as $g_{n+1}$ but instead wrote $g_n+1$

[fathom swallow]

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

[neat lintel]

le issue de la skill

[glass peak]

Again, the bot works fine, it works like any other Tex compiler

Garbage in garbage out

[solar bronze]

Pretty sure MathJax on stackoverflow works better. Never had these problems with it.

I'll figure it out one day ;-;

[glass peak]

I’ve never had any issues with the bot here, people manage to do like Tex magic with it if you look in #latex-testing so yeah I don’t think it’s the bot lol

[solar bronze]

In any case, what this pair of propositions implies is that to have symbolic arithmetic (apart from the operations themselves being defined symbolically), I really only need a way to compare numbers as equal, not equal, less than, and greater than unless I'm missing any comparisons.

Ok it also needs exists and not exists as that specifically pertains to distinctiveness. All the comparisons I just mentioned belong to the comparability of numbers.

[solid snow]

numbers do not need an order relation

or at least not a sensible one

[solar bronze]

Why?

[solid snow]

take the complex numbers

[glass peak]

Complex numbers aren’t ordered

[solar bronze]

Is there a sense in which ordered pairs can be compared as greater, lesser, or equal?

[glass peak]

I mean it depends what you’re talking about, and there could be many ways to do so

[solid snow]

There are many ways but they are always going to be slightly different than what you are used to for reals

[glass peak]

If you consider multinomials there’s loads of partial ordering

[solid snow]

this isnt limited to just numbers

[glass peak]

Look up like graded reverse lexographical ordering

Loads of cool ones

[solar bronze]

For sure, it is at least self evident that x + iy = x + iy; a + ib \neq c + id, so there's that.

[glass peak]

I cannot parse that

[solar bronze]

And obviously you can compare the parts, so why would it not be possible to compare the whole?

[solid snow]

its only “evident” by definition

like the construction is a + bi for a real and b real

[glass peak]

There’s no consistent way to order the complex numbers, that’s a classic first problem for a complex analysis class

[solar bronze]

I think the first thing I need to understand is what is meant by "order" perhaps

Is it meant in the lexicographic sense?

[solid snow]

https://sites.millersville.edu/bikenaga/math-proof/order-relations/order-relations.pdf

[solar bronze]

I see

[neat lintel]

There’s no way to order (have a notion of less than or greater than) the complex numbers in a way that behaves consistently with arithmetic

How do I mark solve in the help forum

[ocean harbor]

.solved or .close

both work

[solar bronze]

🤔 what about $|z|$?

[fathom swallow]

Andrew Porter

[solar bronze]

lol this looks great in latex 😂

Or perhaps better in some sense of sign: $\operatorname{sign}(z) |z|$

[fathom swallow]

Andrew Porter

[glass peak]

That isnt an ordering

and yes it gives you real numbers which are ordered but theres a full circle of points with radius |z| that would be identified with the same point

[solar bronze]

Yes

You see the real number line is actually a cylinder. Mathematicians have been hiding this fact from you for years.

Clearly the solution to ordering the complexes is to go to a restaurant and ask the waiter.

I suppose picking a space-filling curve doesn't make it ordered either, huh?

One in which points are visited only once such that there is a clear order from first to last point

[glass peak]

https://proofwiki.org/wiki/Complex_Numbers_cannot_be_Ordered_Compatibly_with_Ring_Structure

Theres no smart idea that would work, its proven that you cant

Its like division by 0, you technically can define it, but you loose so much in the process

[solar bronze]

Whoever wrote this proof forgot to write an underbar everywhere apparently.

In proof 1

Proof 1 automatically disproven

[neat lintel]

You can construct many bijections between R and C, the problem is that the relation they induce doesn’t behave like an ordering

[rocky shuttle]

sign(z) = z / abs(z)

[neat lintel]

I hate this

[tacit magnet]

Yes

[latent edge]

[rocky shuttle]

[long lark]

another point to make about comparability is that comparability is an abstract property of number systems, but like all other abstract properties of number systems, you can pick and choose which ones you want or dont want

so really, numbers should ultimately just be anything that could be an element of a set

but even this definition i personally think is still pretty strict

[neat lintel]

are you advocating for proper classes of numbers?

[solar bronze]

Anything that could be an element of a set would be the most general abstract entities and those are none other than ideas themselves, so that's a terrible idea.

Well, ideas, essences, and subsisting things more properly

[bronze wedge]

?

[neat lintel]

I think you’ll find that “number” isn’t really defined

Only specific number systems, so the term “number” is a more casual term

Like the real numbers are well defined, as are the integers, complex, p-adic, etc

But there isn’t really a rule for when something is a “number” in the most general sense

[neat lintel]

z=0

[rocky shuttle]

What about it? 0 has no sign, even in the real number setting

[neat lintel]

Do you need hug

[rocky shuttle]

No, I'm getting enough hugs

[deep mango]

Fuckkkkkkkk

I forgot i wasnt the one getting the most hugs in anv

[neat lintel]

That's so cruel.

[zealous garden]

I am

[neat lintel]

How?

[zealous garden]

What's wrong with the surreal number field @vivid halo

[zealous garden]

A number is a member of the multiplicative group of some Composition Algebra, or 0

[vivid halo]

I mean it's not really useful outside of really specific game theoretic stuff

it's certainly not useful for any kind of arithmetic applications

I wouldn't call it a "field" either

[zealous garden]

Real shit I can't even do Geometric Calculus with it

Here's where I'd put my consistent definition of Surreal Integration

if I had one

[deep mango]

Hey why'd this get hmmcat'd

[zealous garden]

And that's why I love them

[zealous garden]

Cus it isn't a set?

[vivid halo]

mostly yeah, although this is not a serious issue I guess

[zealous garden]

I honestly don't think being that useful matters for the surreals

Cus like, they subsume every use for the reals and hyperreals for example (except analysis)

And you could technically use em for real analysis

Philosophically, it's cool that they exist at all, and worth the time to investigate

Uses specific to a subject only matter if you already know some other way of doing one of the things that can be done by something else

To use the example we all know me for, compare GA and Quaternions

If you are already comfortable with Quats, there's little incentive in most applications to switch to a proper GA

[neat lintel]

What uses are there for the reals other than analysis?

[zealous garden]

But if you know GA, why would you ever bother with quats specifically?

[neat lintel]

Like everything involving reals has some analytic flavor

[zealous garden]

If the only argument for the method is "it came first" or "I already know it", it's not a point for the subject/idea

And as my concerns aren't primarily some application, but my own curiosity, this becomes a strong point for me rather than a passing grunt of acknowledgement

[zealous garden]

Having C as the Algebraic completion

Making curved triangles

Having logarithms, and radicals without needing branch cuts

Actually

Having logarithms without needing branch cuts

[unborn ivy]

Hi, have a nice day guys.
I'm learning about real-world computer number presentation, could you suggest me some resources that have questions/problems and solutions? I'd like to strengthen my knowledge.

[spice iris]

surely someone knows how to do Accounting. anyone here do accounting pls

[brazen mulch]

you're impressive at probability, @spice iris, but you failed psychology

[spice iris]

?

[vernal token]

surely someone knows how to do Accounting

probability part

anyone here do accounting pls

psychology part

Is what DeeDee probably meant

Ask in an unoccupied help channel, e.g. #help-9

[vivid crypt]

[neat lintel]

<@&268886789983436800> Is this allowed? This is making $$$

[surreal sapphire]

no, this is also a scam

[old oak]

Who still falls for NFT scams in 2024?

[scarlet lark]

People who fall for NFT scams.

[latent edge]

Who is still selling ugly apes?

[glass peak]

Millennials are killing the ugly ape market!!!

[patent stump]

Guys what happens if you submit a final project for a class but the final project is done incorrectly? (Graduate school)

[neat lintel]

that name LMFAO

[patent stump]

I think I may have incorrectly implemented this difficult task — I am only now recognizing it while writing the report.

[glass peak]

This surely depends on many things that only you could know

[vast surge]

Bored Apes still go for tens of thousands of dollars.

I just glanced at opensea. The cheapest one is still like 12 etherium, which is about $35,000 USD.
So clearly someone is still buying these fucking things for way too much money.

[vast wraith]

hrlp i don’t have any appropriate server to fangirl over gay webtoons in

[flat harbor]

ure allowed to

i always was the "i think im above mass produced gay webtoons" kinda bitch

then last yr i had the experience of going down the subway and seeing a massive subway ad for Gay Webtoon and lost my step on the stairs

[vast wraith]

real

oh god i just suffered the most painful conversation

[fervent pebble]

sooo

tea

[golden plover]

I thought everyone is Einstein here

[vast wraith]

some economics major trying to explain how important he is, how much math he needs to do (three calculi, he says) and how money works really is just math (he asked if i knew the profit function and what greek letter it’s denoted by, noting my silence he took the opportunity to say the function is “TR - TC XD” and the letter is pi)

[fervent pebble]

jesus

[vast wraith]

“three calculi,” he explained, means three courses in calculus

the first of which was pre-calc, and the third was really optional

ok i have externalized some of my pain i’ll get back to my gay webtoon now

[solar hawk]

wait so the third "calculi" was just university calc?

or was it calc for business

[fresh comet]

some people choose to be insufferable I guess

[solar hawk]

im so confused

[fresh comet]

it's things like this that make me once again happy that I haven't talked to others lol

[solar hawk]

whats profit function

i mean

[solar bronze]

jk I meant spiral. $z = -iW_n(ix)$

[fathom swallow]

Andrew Porter

[solar bronze]

This should unironically be a well-ordered subset of the complexes

Well, an ordering of the complexes. I'm not sure if well-ordered and having ordering are the same terms here.

[solid snow]

they are not

and every set can be well ordered by the well ordering theorem

though this theorem only says that such a well ordering exists

[solar bronze]

I see, thank you.

[vast wraith]

trans rep trans rep

also no it’s totally not nearing 6 am my clock must be lying

[neat lintel]

What the fuck? I thought this was a math zone

[visual breach]

Wdym, this is just discussy 2

[neat lintel]

Your right this is trans discussion chat
I'll return to #discussion

No offense

[fresh comet]

this is a general discussion chat

[visual breach]

What, there is no difference in the two, other than that #discussion is more active

Or do you imply..

[fresh comet]

if you want math, go to one of the math channels

there's a lot of them

[neat lintel]

Yes I'm implying everyone of us is trans math lovers ❤️

It should have a higher quality discussion than #chill in the channel desc

More professional and more civil

My good ladies and gentlemen

[brazen mulch]

enbies:

[old oak]

Sure, they are still listed at these prices, but hardly any are being traded:

NFTs have pretty much evaporated from public conciousness and actual market activity, and thank heavens for that

[sleek pagoda]

I needed to prove they a volume of some unit n dimensional sphere is less then 10^-100.

I proved a formula for volume and using Desmos I found at which value the volume is less then the number.

Because the formula is decreasing it will always stay below that. My friend said this proof is bad or doesn’t work or something

I said it used numerical analysis and he claims it isn’t

Can someone settle this debate lol

[old oak]

Well, you need to trust that the value given by Desmos is correct (I'm not saying it isn't, but that might be a contentious point), and in some ways it might be preferable to actually prove that the volume of the n-dimensional unit ball has limit 0 as n goes to infinity (doing this directly from the formula you've developed)

[old oak]

Also just to be nitpicky, you probably mean the n-dimensional unit ball

[sleek pagoda]

Yeah that’s true

My bad

[sleek pagoda]

I believe we can assume Desmos is true

The larger debate is, is this numerical analysis

I say it is

[indigo dawn]

What job can i get if i have a math degree?

[sleek pagoda]

Cs

Does plugging in pi*r^2 count as numerical analysis

As you designed an algorithm in Desmos

Which approximates the answer

My friend says other people designed Desmos

But I feel like that shouldn’t matter

[river moon]

if you prove that your algorithm converges to true volume of an n-dimensional ball, then that would be numerical analysis

[old oak]

As I understand it was more along the lines of deriving a formula for an n-dimensional unit ball as a function of n and plugging that function into Desmos.

And finding the value of n for which it was smaller than the threshold, presumably by just iterating over n, since it does go down fairly quickly

[sleek pagoda]

Yes that is right

According to him the derivation is valid

[sleek pagoda]

I thought as long as it’s a good enough approximation, it would be fine

And Desmos does do that

Idk what good means

[river moon]

well how do you know it's "good enough"

[sleek pagoda]

But he agrees it is not wrong

[river moon]

it could blow up after certain n or might not even go to 0

[old oak]

I'm not going to get into classification slapfights over what is or what isn't numerical analysis, but my preferred method would be to show analytically that the volume converges to 0

[sleek pagoda]

It goes to 0

[river moon]

you need to check all infinitely many n to be sure of that

[sleek pagoda]

But I need some weird ln justification

[sleek pagoda]

No just one

I know the function is decreasing

[old oak]

I understand they showed that the volume is a decreasing function of n

[sleek pagoda]

Yes

[old oak]

So showing empirically that it's less than 10^(-100) for some n does let you conclude that it will be also less than that for all subsequent n

[sleek pagoda]

Yeah

I show that ln of the formula

Goes below -100ln10

Cause Desmos can calculate that

The question itself doesn’t say the volume has to go to 0

Just that after some n the volume is less then 10^-100

[sleek pagoda]

Okay but both are equally valid right?

[old oak]

I think so

[tall nest]

[icy void]

what should i major in college if ai will take over everything in next 5 years

[sage mulch]

why ask this vapid question in like 5 different channels

[ripe needle]

Multiple times a week too

[sage mulch]

so it's a gimmick

?

[visual breach]

Oh. Maybe a spam

[flat harbor]

maybe random kid fishing for dopamine

cautionary tale

[sage mulch]

many such cases

[ripe needle]

They ask this question in every single general channel, almost daily for the last.. what 2 weeks now?

Sometimes they respond to answers, sometimes nothing

Then they dissappear until they ask again the next day or so

[velvet dagger]

Convo has moved on now so I'll just post this here @graceful flower

I was trying to use this to Rick roll you but I can't

youtu.be/Poq8WRHS-n0?si=C1qxdNMh1l7vt1IK

[graceful flower]

it ain't working

[velvet dagger]

You can do the trick of repasting if you want lol

See the thumbnail

[sly flint]

https://www.youtu.be/Poq8WRHS-n0?si=C1qxdNMh1l7vt1IK

oh

[graceful flower]

HOW

what

[velvet dagger]

What?

[graceful flower]

how does this work

[velvet dagger]

How does what work?

The idea is you copy the link

[graceful flower]

dami...

you got me alright

[velvet dagger]

That wasn't a Rick roll. Maybe you still had my old link copied?

Try again

[rocky shuttle]

You need embed perms ig

[graceful flower]

i am so confused

[velvet dagger]

YOU GOT GOT TWICE WITH THE SAME LINK

@jagged forge witness the master at work

Is it even legal to be this good?

[vast thorn]

Sorry if this is the wrong channel, I want to learn mathematics from the basic any recommendations?

[tulip jewel]

How basic?

If you want basic in terms of learning level, I suggest asking your local school for old maths textbooks

If you mean stuff like 'pure maths'

There are many places to start

There is linear algebra

There is calculus

There is geometry

Geometry came first

If you mean the foundation of calculus, see 'analysis', but you need lots of familiarity with math proofs

If you want the foundation of geometry, start with a high school book, perhaps middle-secondary level geometry chapters. If you want a rigorous version, any college-level geometry textbook besides that one called 'rational trigonometry' will do. They are all rigorous at that point

If you want proof, without the calculus and other nonsense, see something like 'Book of proof' by hammock

^ Author made the book free on his website

linear algebra, see something like 'elementary linear algebra' for content (Or a good high school book unit', or for rigour see 'linear algebra done right', or perhaps a more intuitive book like Strang's linear algebra from MIT.

I see you have 'pre-uni' tabbed. Definitely start with a high-school maths textbooks, since they have a broad range of topics. If you need further info, search a book on that chapter name for more relevant book suggestions

[vast thorn]

Sorry for not being specific about my previous question.

I want to start with linear algebra and move to complex calculas.

The problem i find is that I don't understand how basic things like how fractions work, and how to perform operations on them. How percentages work. How to reduce equations and stuff.

I also feel like I'm too slow in calculating basic multiplication and addition.

[frozen plover]

Had the same issue a couple years ago. I finished high school years prior but when I finally decided to pursue further education I couldn't even add two fractions together. I started with precalculus. I read everything and solved every problem, which definitely "cured" my poor algebra. Linear algebra and calculus comes after this.

[winter moon]

inspiring

[vast thorn]

Great

[tulip jewel]

Nice worth baal!

@vast thorn it sounds like you have a 'numeracy issue' which is a competency with arithmetic and algebra.

A broad range of skills are required, and quite well documented on building this up, since so many areas use it

[unborn orbit]

Hi

[tulip jewel]

I can suggest you get a book, specifically a final year school maths book from the lowest level maths you can

for example, in australian there are 12 school years and the lowest 'level' is 'essential mathematics'

students might do this course for year 11 and 12, which goes over the entirety of the school curriculum over the last few years

books from core maths classes like these cover most essential numacy skills

but they differ by country

If you are serious about this, see about, like I mentionedb efore, messaging a local high school for an old numeracy or core-level final-year maths textbook

or

in australia there is a website called mathsonline

and internationally there is khan academy

if you have internet

https://www.khanacademy.org/

https://www.khanacademy.org/math/k-8-grades#cc-eighth-grade-math

that second link goes through american school curriculum

there are videos

if you need access, most public libraries would provide access to that site

it is all free

most content through school teaches content with repetition to build these core numeracies. You will need to work hard

[vast thorn]

Hey thanks, really wish to fix my. Numeracy issue.

[tulip jewel]

Best wishes for success!

[solar bronze]

There's a physics joke hiding in here somewhere...

[robust cosmos]

You can start with pre-calc instead of just the very beginning basics?

You dont need to start with algebra or even pre-algebra?

[royal basin]

anyone have suggestions for what I can do to boost college app

I'm freshman hs

[mint heath]

I assume app means applications. Depends what college you are trying to go to

[frozen plover]

I would say so! Not all precalculus courses are the same of course (some really do just blaze through and expect you to have seen everything ahead of time already), but if your reading comprehension is decent I would at least try to start with something like the book I linked before deciding to switch to gentler material.

[latent edge]

I'll just give this advice

Don't read precalc

[royal basin]

I would say I'd want to go into cs, and prefereably a top cs college (cornell, MIT)

I've already done calc, and I applied for a few competitive camps (i did get in)

[mint heath]

just lock in and get good grades, relevant activities like you are doing, have a good essay, good reccomendations and you should be fine. have safety schools regardless. good luck

[misty moth]

Im trying to study to test out of honors geometry next year and straight onto honors algebra 2, should I settle for just locking into geometry and the 12 units or push my luck and be miserable trying to test out of algebra 2 too.

[vast surge]

Don't burn yourself out. Part of the point of a break is to rest and recover. I was burnt out this winter break studying for the algebra qual (which I didn't even pass!)

[zealous garden]

you don't burn out from going too fast, you burn out from going too slow and getting bored

[vast surge]

That's not true.

You burn out from spending all your time constantly working on something

Without rest

[zealous garden]

or do you burn out from spending it working on the wrong thing

[misty moth]

We still have about 2 months of school, Im gonna try to finish the all the units by end of May and see from there I think

[misty moth]

Burnouts suck, getting burn out is like being depressed, you know you're depressed but resting kind of just makes it worst

[misty moth]

Tbh, its just to each persons tolerance of work, both ways is the same.

[zealous garden]

It's a Cliff Burton quote

[misty moth]

Should've known it was a quote, Im too dumb for literature

[zealous garden]

not really literature, he was a bassist

for Metallica

[misty moth]

Oh?

Yeah, I don't listen to stuff like that, but its cool you do ig

[misty moth]

Metal, or am I inferencing wrong

[zealous garden]

Thrash Metal specifically

[misty moth]

Thats impressive

I can't understand metal fans that much, I just think the music is loud

[zealous garden]

The first key is that a lot of metal fans play an instrument, a metal mentality is founded in an edgelord, reclusive, outsider culture

similar breed to punk really

Metal takes more influence from blues, jazz, and classical though

so it's an abrasive, harsh sound

but if you pay the toll of the aesthetic (which you might even be attracted to) it then rewards the musically inclined listener

that's just some genres though like

there's such a broad range

it's great for channeling the adolescent angst when you're growing up and trying not to punch another hole in the wall because you're still in trouble for the last one

I pick up the big ol maple bass guitar that's heavy as fuck, hard as fuck

strings bigger than they should be, stainless steel, so that they fight back and destroy my fingertips

play really loud music and punch the bass guitar

literally punch it

it can take it

at one point when I played bass, I also often had to get my finger pricked

and they eventually could only use my pinkies

because of the calluses on every other finger

It's the combination of emotion, skill, and not giving a fuck what you think

[neat lintel]

well said

[zealous garden]

I really liked this guy https://www.youtube.com/watch?v=7_wGFfrJv4Y

[misty moth]

Music is really an art of its own, I play instruments but not bass

[misty moth]

You just gave the most detailed explanation I’ve heard

[misty moth]

These instruments sound like a pain and a beast at the same time, really cool how you learned it though

[zealous garden]

you can make them nicer, I was partially molded by a thing I heard about Dave Mustaine from Megadeth, he said that other people make the guitar sing when they solo, he makes his scream

and I took that to heart

I wanted to be in a band but I was never in one with a strong enough leader

I should get back into the rhythm

[zealous garden]

I appreciate this

OH BABY ANOTHER TRIPLE PING!!

[cunning plaza]

Any suggestions on how to approach the math subject gre? I'm not sure what channel to even ask this. I've heard that going through Stewart's Calculus extra problems, and Cracking the Math Subject GRE, is a good step to take

[neat lintel]

I don’t think there is any calculus on the GRE

[cunning plaza]

On the Math Subject GRE there's lots

On the General GRE Math portion there is none.

[digital torrent]

im delusional, ive spent like the past 3 days trying to prove collatz conjecture. I know i wont but dang it im gonna try

just the joy of making my brain spin

[vivid halo]

there is loads of metal that is very heavily influenced by classical and jazz styles

[vivid halo]

waste of time lol

[zealous garden]

Aka the best metal

[zealous garden]

For 3 days?

[vivid halo]

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

[zealous garden]

You gotta get those numbers up champ

[vivid halo]

brain expanding metal

metal bands who compose everything as sheet music first and then learn to play what they wrote insteaf of just jamming

[zealous garden]

How many time signature changes are there in the first minute and a half

[zealous garden]

This

I've tried to do it

Very difficult

[vivid halo]

yeah these guys are nuts

[zealous garden]

I have a riff in I think 23/16

[ripe needle]

I hit play and instantaneously found out I left my speakers on at max volume from earlier.

Hooooooooly fuck I felt that in my soul

[zealous garden]

That I couldn't get down

[vivid halo]

the Warr guitarist in Behold the Arctopus is like

probably one of the best metal producers out there

every single insanely good metal album that makes you go "holy shit this was mixed perfectly"

you look at the recording studio and you're like "oh hey it's Colin again"

[zealous garden]

I don't like modern metal production

I want to return to the 80s/90s

That was perfect

[vivid halo]

https://www.youtube.com/watch?v=tj3mg3zhNGw

ahhahaha what the fuck

Colin just chilling in the background

[zealous garden]

I need anything more than https://youtu.be/_duhhVa-dk8?si=JaD7i5JwtBhXYcmj

[vivid halo]

Death is so good

https://www.youtube.com/watch?v=ocJ1RwL9CeY

old Gorguts

[zealous garden]

Der Bass

https://youtu.be/nO6g4k7yYhM?si=b9hASTJYpElQ_fqZ

[neat lintel]

fire music

[vivid halo]

https://www.youtube.com/watch?v=1p03KeMM-_U

this gorguts album is essential listening

how the fuck did they write this in 2012

fun exercise: figure out the time signature in the intro

[zealous garden]

2012?

https://youtu.be/5ZviVGbulwU?si=ef-FFuCrhX0PSpIc

[vivid halo]

Gorguts circa 2012 was decades ahead of this lol

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

0:25

[zealous garden]

Okay but
https://youtu.be/HJxpDILnKiQ?si=bGwWtaPoyuSICFxf

[vivid halo]

https://www.youtube.com/watch?v=TOIRn5Byq94

[zealous garden]

Digorgio!!!

[vivid halo]

fretless gigachad

[zealous garden]

Is that the one track I've listened to a bunch

Queued

[vivid halo]

this is such a great recording of this track

bass front and center

[zealous garden]

I like Fatal Illusion and Peace Sells by Megadeth for their intros

Hammer Smashed Face

I'm a sucker for anything with a good melodic bass run front and center even if it doesn't persist

The Trooper

For Whom the Bell Tolls

Maybe not quite melodic but Spirit Crusher

Steve Digorgio
https://youtu.be/hGlcfIL8Q08?si=2M3iPeUnY7fmGEDh

I can hear how nice his hands are

[vivid halo]

https://www.youtube.com/watch?v=20cyF3mHoi4

need more fretless bass metal bands

[zealous garden]

https://youtu.be/eYCYGpu0OxM?si=bATVG-1nLwP1xOO3

More John Myungs

And Les Claypools

[neat lintel]

I'm doing linear algebra homework and i have no idea why. Just solving for eigenvalues and eignvectors with no actual applications to the real world

When does math become useful

[fresh comet]

linear algebra is probably possibly the single most useful field of mathematics

that includes eigen-stuff

[old oak]

I wouldn't single it out, but it's definitely in the top tier of general usefulness.

[fresh comet]

fair enough!

(I’m an LA shill, so please take anything I say about it with a grain of salt lmfao)

[old oak]

LA is great, I just want to pre-emptively push back against any kind of argument over which branches of mathematics are superior to others.

[fresh comet]

fwiw, I do agree that there is no such thing as one branch of math being “better” than another

but in terms of usefulness (both to the real world and to math itself), I think it’s not too much of a stretch to say that LA is very high up on the list

[old oak]

Oh yes, it absolutely is.

[fresh comet]

anyways, I am yapping too much about this, and it’s 3:30am

good night Outsider!

[old oak]

Night!

[old oak]

Yeah, I get it's not great, but maybe treat it as practice drills; LA has a lot of "mechanical" stuff that is boring but being able to work with it efficiently and intuitively is very helpful in the long run.

As for the usefulness of the eigenstuff: https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors#Applications

[unborn delta]

i love this entire album

[lean sinew]

do i need to know any prior analysis for Elementary Real and Complex Analysis by Georgi E. Shilov

i only took cal 1,2 and some linear

[glass peak]

I haven’t read that book but based on the name I’d doubt it

Typically books outline the prereqs in the introduction though, so just read that

[solid snow]

This is not the subject to say this about lmao

[zealous garden]

I think so too

Multilinear Algebra is the bees knees

No

[neat lintel]

“All mathematics can be reduced to linear algebra or combinatorics, and we can only solve the former”

[cold needle]

Literally the most applicable thing

[crisp seal]

That fact isn't really being demonstrated in the way it is taught to me

[solid snow]

IMO it's easier to have a class focusing on the theory and then jump to applications after

[cold needle]

yeah part of the process is to have some amount of trust in feel

[crisp seal]

Is this pretty much the order in which mathematical subjects were invented not corresponding to their difficulty?

[pure spindle]

I modified a riddle and am using it in an AI benchmark, but i want to make sure i am right before I say any AI models are wrong, here is the riddle: Imagine a snail in a well that's said to be 40 feet deep. Each day, the snail climbs up 5 feet, but at night, due to a strange, mystical force in the well, it slides down 4 feet. However, after reaching the 20-foot mark, the snail discovers that every foot climbed during the day magically extends the well's depth by half a foot at night, unbeknownst to it. When, if ever, will the snail escape the well?

[slate badge]

Does anybody here uses AI for studying?

[glass peak]

I can almost guarantee no one you should listen to does

Stuff like chatGPT isn’t bothered about being correct, and for maths, it usually isn’t

[peak tide]

use it for math and get wrong answers all the time, great study aid

[old oak]

Large Language models are frequently wrong and never in doubt, which is a terrible combination of traits for a teacher

they're at their most useful helping out with things you already understand and can validate

the less you know about a subject, the more wary you should be of using llm's for help

[glass peak]

Yeah, the important thing to remember is they’re literally just a big bowl of word soup, doing its best to throw words together that it believes are in some way related to

There’s no logic there to check what it’s saying is correct or helpful

I’ve heard they’re very good at writing TeX for you though, so at least they have some application

[old oak]

Well yeah, because you can compile the TeX and see if it's what you wanted it to be with your human eyeballs and brain

[glass peak]

If we could build like a add on for VS code which just passes off writing TiKz to an LLM id actually use that

Because no one wants to deal with writing TiKz

[fresh comet]

but when will the large language models become large Laplace models?

(I'm thinking of Laplace's demon here lol)

[slate badge]

To teach you concepts not solve your homework lol.

[fresh comet]

serious answer: no

virtually nobody

[fresh comet]

I wouldn't trust a LLM over a textbook to teach me anything

[peak tide]

i would even trust a classmate over an LLM

[slate badge]

LLM?

[peak tide]

large language model

like gpt

[slate badge]

But...

Isn't LLM just a data base that give you a resume after it searches in multiple websites...etc?

[peak tide]

sadly it's not that smart

or perhaps putting it differently, it tries (but mostly fails) to be smarter than that

it mostly succeeds at sounding smarter than that

[slate badge]

Idk man, I'm using Gemini in Computer Science and Chemistry and it teaches me concepts well.

[peak tide]

you gotta do you

it's definitely not trustworthy in math, we've seen it time and time again

[slate badge]

Not to the level of a teacher but certanly summarize + comprehend 1:30h lecture in 20min.

[slate badge]

From wish aspect?

[peak tide]

it says flat out false things

not every single time you try it, but i'd say 80% of the time at least

[river fulcrum]

there's a concept called hallucination for AIs

which literally means the false information generated by them

[peak tide]

like i just asked chatgpt 3.5 how many isomorphic copies of the 2-sylow subgroup are contained in S4. It gave me a full-page derivation using the sylow theorems and concluded that the answer is 1
(the correct answer is 3)

[river fulcrum]

It's true that LLMs are trained through the responses in multiple websites, but because of that, they may come up with ridiculuous statements while blending all those data.

[hexed gazelle]

one time i asked gpt just to give me statement of riesz rep for compact hausdorff space

[hexed gazelle]

gave me something nonsensical and on top of that said to use riemann integral

[peak tide]

yea, it fails with what are basically simple "go fetch me some info from wikipedia" questions

[fresh comet]

wtf

[peak tide]

it's trained by reading millions of websites, but as anyone knows, most websites with math content have errors...

i can only imagine how bad it is for computer programming

[slate badge]

Try it in Gemini.

[peak tide]

closer, but still no cigar (and it then says its previous answer was wrong, even though it was right)

[jagged forge]

let's see if gpt-4 can do it

[peak tide]

i keep correcting it with different numbers, in the same conversation thread and it agrees with me every time

[peak tide]

ask enough of these bots and eventually one of them gets the right answer

[jagged forge]

in my experience gpt-4 is a lot better than gpt-3.5, idk about gemini

i still couldn't get it to explain how to compute some probability theory stuff tho

[peak tide]

well gemini is the one that said the answer is 4, then agreed it is 3, then agreed it is 6, haha

[jagged forge]

oh. lmao

gemini seems cool because it has a context window of 1 million tokens

so you can upload books into it

[peak tide]

i am doing the lord's work here, training it so it can be more helpful for future users

[peak tide]

probably a godsend for saying "write me 5 pages about the symbolism of darkness and shadows in this book my HS teacher assigned me"

[jagged forge]

man school with ai must be wild these days

[peak tide]

i assume the whole model for what counts for grades is gonna evolve

so that supervised exams with no phones will be like 90% of the grade

homework negligible

[slate badge]

lol.

[jagged forge]

heh i wouldn't have minded that for some classes

[peak tide]

quite possibly no more essays to write, haha

what teacher is gonna want to read 40 papers written by bots

[hexed gazelle]

this would be a horror a whole generation of students who dont know how to write

[peak tide]

one more just for fun

[peak tide]

judging by the emails i've had to read at work over the years, the previous generations weren't much better haha

[slate badge]

LMAO

[peak tide]

when pressed:

[silver prawn]

Lol

Sorry I was just yokin idk what I’m talking about

[acoustic sparrow]

why would you expect a language model to do math ?

[jagged forge]

we don't, but many people think they can do everything

[acoustic sparrow]

fair

[neat lintel]

sushi or chicken from the food court

5 minutes to answer

[jagged forge]

do u trust their sushi

[neat lintel]

yea

i've had it many times

[jagged forge]

i like sushi so i vote sushi

[fresh comet]

I vote sushi

[neat lintel]

sushi it is

[jagged forge]

aw man i had an excuse to make a poll

[neat lintel]

sushi man.

Sushi good.

Guys I had a question, is it reasonable to ask someone (more experienced in math) to read over my proofs and check if its correct? I often like to prove stuff that I see in a textbook on my own, and sometimes the proof I write doesn't exactly match with an available thing, but my arugments seem okay.

this happens all the time

[neat lintel]

what would you suggest?

[glad path]

heyy guyss , im new here , can u guys just introduce me to this server members and everything about server??? '

[cinder zephyr]

Sure I can introduce you to all 200000 members of this server

[glad path]

haha , continuee

[neat lintel]

I was working through a combinatorics book (guided discovery Is its name) and I found group acting on sets interesting and started reading a little bit of group theory, now I just found your blog, and I like it right from the get go!.

[cinder zephyr]

Oh God 😭

(much appreciated)

One day I'll write a second post

[neat lintel]

the sushi is alright

actually

no this is really good

[fresh comet]

lol

[neat lintel]

ocad food court

try something there if you're ever in the area

it's like a 10 minute walk south from the exam centre. same street

[serene saffron]

[Question that does not have anything to do with the current discussion]
The tests of the competition for the entrance of the École Normale Supérieure and Polytechnique are over.
I was wondering if there were equivalently hard exams anywhere in the world?

[neat lintel]

I have a weird unrelated question. How many people here would actually like to just "talk" about the bits of mathematics they find interesting (dumbed down enough for say any ARBITRARY undegrad who is totally not me to listen to?)

[vivid halo]

people do this all the time, I yap about math I am interested in a lot here

[glass peak]

nG, sharp, Fiona and John when he’s around love to just rant about their work

Usually really cool, rare that I understand more than 5% of it

[steep mountain]

i find it hard to discuss math i like if i dont know the other party can somewhat follow, feels like talking to the void

cool story sharp, i understood the "the" in what you said

[old oak]

Never become a teacher, this is the experience.

[glass peak]

I personally love hearing people that know their shit just rant about the stuff that interests them

Even if I can only somewhat follow it, it’s nice to just be exposed to it and sometimes you pick up random cool facts

[tender tulip]

Any cool Langlands shit

[vivid halo]

editing my thesis got me feeling like "no cool Langlands shit"

[tender tulip]

just not fun Langlands shit

[vivid halo]

I tried to figure out endoscopy for GSp_6 earlier today and I got very confused

[tender tulip]

endoscopy

GSp_6

[vivid halo]

GSp is not so bad to define

endoscopy is

[jagged forge]

endoscopy sounds like an unpleasant medical procedure

[vivid halo]

lmao

it's also an unpleasant mathematical procedure!

[vast wraith]

some symplectic stuffs?

[vivid halo]

yeah

the symplectic group Sp_2n preserves a symplectic form on a 2n-dimensional vector space

GSp_2n is the same but it preserves a symplectic form up to nonzero scalar

the difference between Sp_2n and GSp_2n is similar to the difference between SL_n and GL_n

it's a group that plays a pretty big role in the theory of Shimura varieties

[vast wraith]

i should probably not spend too much time trying to make sense of symplectic geometry before i have done any diff geo

[vivid halo]

this isn't really so much a symplectic geometry thing but a representation theory thing

[ripe needle]

It is

[jagged forge]

sounds like the math procedure was aptly named then

[ripe needle]

I had to look this up and once I saw "Langlands" I just closed the tab. Not even going to bother.

[vivid halo]

it does lead to very nice things though but yeah it's a bit painful to work with sometimes

it's one of the major things that explains why the cohomology of Siegel threefolds is weird

[ripe needle]

Those are very definitely words

[vivid halo]

I mean do you know about modular forms/modular curves

this is some higher dimensional version of that

if you have a classical modular form (specifically a cusp form) you can attach to it a 2-dimensional Galois representation and this Galois representation shows up in the cohomology of modular curves

modular forms are holomorphic functions on the upper half plane transforming in a certain way under (a subgroup of) SL_2(Z)

you can replace the upper half plane by something higher dimensional and replace SL_2(Z) by a larger group and study the same story

for example if you have a Siegel modular form (specifically a cusp form) for Sp_4(Z) you can attach to it a 4-dimensional Galois representation

and generically this Galois representation shows up in the cohomology of a Siegel modular threefold, which is a generalization of modular curves

but for some Siegel modular forms the Galois representation you find in cohomology is smaller than you expect, like sometimes this 4-dimensional Galois representation is not irreducible, it breaks up into smaller pieces, and you only find some of those pieces in cohomology

endoscopy is what explains this

[latent edge]

Based

[jagged forge]

damn

anti langlands agenda is real

[ripe needle]

I just wish I understood more what was happening, but I feel every month I get closer is just another month nG goes deeper into it

[cold needle]

im ready to talk about modular forms

at the level of diamond and shurman

[latent edge]

By the time I get familiar with Langlands nG would reach a level nobody could understand what he's saying

[glass peak]

It’s hard for me to believe he isn’t already there

[icy void]

What should i major in college if ai will take over everything in next 5 years

Which is safest major

I prefer something in stem

[fresh comet]

can you not post this every single day

and also not in 5 diff channels at once

[neat lintel]

Horticulture

Being able to grow your own food and food for others will make you an invaluable member of society

[neat lintel]

Also, college might not be the best option if your goal is "high paying job"

Look around and see what you enjoy

[latent edge]

this

[latent edge]

btw brandon

[flat harbor]

i think like

users here should be informed that this user has been posting nothing but that for like

a week

maybe more

[visual breach]

Such is life

[neat lintel]

huh

I have found trig in my linear algebra course

[latent edge]

I just saw this

based

[neat lintel]

How do you go from $$\norm{u} ^2 + \norm{v} ^2 - 2u \cdot v$$ to the cosine rule

[fathom swallow]

Book Reader

[latent edge]

uhhh use dot product def

what is <a,b>?

[visual breach]

The real question is, how is cosine defined

[latent edge]

use arccos integral definition

https://tenor.com/view/mujikcboro-seriymujik-gif-24361533

[visual breach]

Unironically great

Now time to relate that to dot product

[latent edge]

then end up solving a classic ODE

[fresh comet]

this is how my analysis course defined sin/cos

was fun

[fresh comet]

which one?

[small dust]

it didn’t define sin/cos as tan?

[latent edge]

BASED

[fresh comet]

I think we did y'' + y = 0 in class

but, I've kind of forgotten the details

oof

[latent edge]

ansatz moment

[vivid halo]

tfw sine and cosine

[fresh comet]

mhm

[fresh comet]

this was basically how we solved all of our ODEs in physics so far

for oscillations and SHM and such

[latent edge]

the oscillations I had an argument with my prof on removing sine and replacing x

mfw when they dont want elliptic integrals

[visual breach]

I mean, integrating on elliptic curve sounds rough

[latent edge]

weak

[fresh comet]

mathematically, all physics has taught me so far is that sin(x) = x for all x, dy/dx is a fraction, and every infinite series converges

[crude drift]

.

[latent edge]

.

[fresh comet]

.

[tender tulip]

Funny chat, there is this weird notion of death

Because it’s akin to like, who you are in an instant

You are often determined by your cognition and decisions which can’t occur in an instant

Like if time halted for all but you for a while, everyone else wouldn’t be “people” as you’re used to

Just stationary objects, a state

You likely can’t “perceive” an instant, only exist throughout time

Death is like the only true instant you can experience, if you can even “experience” it in the classical sense

[tender tulip]

Like in this case there is an expectation that it would restart. If you were halted, you’d expect a continuance, and you’d be none the wiser to what happened except that everything affected changes instantly

But there is no restart likely at least in my belief, or what I hope is true as the opposite terrifies me

So it’s like, nothing ever happened? There is nothing to experience because you cease to exist. It’s like if time “stopped” forever.

You’d technically “be dead” by almost all definitions because there is nothing to experience, to interact with

[fresh comet]

so the same as one feels before they are born?

[tender tulip]

I suppose, but you’d expect some stimulus though unable to process it

and it matters not because that experience isn’t retained

[fresh comet]

I see

...that's a new perspective on death for me

hmm

[tender tulip]

It kind of started with something like Zeno’s paradox

The idea that the time between the “halving the distance” approaches nothing… an instant

But we experience reality by comparing it over time

We can’t process an instant

[fresh comet]

mhm

[tender tulip]

We are nothing but an object at an instant

[fresh comet]

time is a strange thing

though, I wonder

an instant isn't very well-defined, is it?

we can't experience one instant, nor 1 million instants, nor 10^10^10^10 instants

[tender tulip]

Not in the existential sense

It’s like a different measure

Kinda like measure theory in a way

We can’t experience “existences” of measure 0

[fresh comet]

huh. that actually makes a lot of sense wth

I guess removing countably many instances from a second removes no time at all

[tender tulip]

True death, the end, is an instant

We likely can’t experience it, nor nothing after

We can’t comprehend the end, the limit

[fresh comet]

well there would be nothing to experience

[neat lintel]

7yh6rtu5f

[fresh comet]

hey TTeppa lol

[fresh comet]

I've never thought so much about the discontunity of time right up at the moment of death though

that's kind of terrifying

[tender tulip]

It’s not terrifying to me

It’s in a way, relieving?

[fresh comet]

hm

[tender tulip]

We base our experience on, well, experiencing, but there is nothing to experience

It just ends, nothing more. Like a permanent pause.

It shouldn’t matter

The great nullifier.

The horrifying part is if you’d have to wake up and then experience your death

That’s what scares me

[surreal bison]

I personally like living

[fresh comet]

I think either option would scare me, though I think this one more so

[surreal bison]

So I am pro living

[tender tulip]

Ever since I was a kid my Christian upbringing made me afraid of living forever

[surreal bison]

And would be against not living

[fresh comet]

tbf, I am afraid of living forever too

[surreal bison]

yeah and if we were all beat by truncheons we'd come up with excuses for that too

[tender tulip]

My fear of dying as a child was not because of everything ending but having to think eternally

Pleasure isn’t worth the condition, it’s just a byproduct

[surreal bison]

I don't understand any of this

I like living

I don't expect to not like living unless something drastic happens

[tender tulip]

I don’t know how to describe it

[surreal bison]

I mean why do you expect to stop enjoying life? At what year mark will that start setting in?

I am assuming you currently enjoy life. If not, I am sorry for you.

[fresh comet]

oh I understand this thought lol

I've had it many times before

but not anytime recently

[surreal bison]

Also. Do note the OG Christians also seemed antideath to me. Interpreting "The last enemy that shall be defeated is death" as anything besides an antideath rallying cry is absurd to me.

[tender tulip]

It’s not that I don’t enjoy life it’s that there’s a certain draw to the idea that you don’t need to experience anything in the first place

[surreal bison]

Certainly whoever wrote that was thinking of something different.

[surreal bison]

Why

[tender tulip]

Not something I’d act upon

But it’s there

[surreal bison]

I like experiencing things

Because on net it's good

I wouldn't want it to stop unless I was very unhappy

[visual breach]

Seems like xela you are living pretty happy life >.>

[surreal bison]

I was once unhappy enough that the only reason to continue living was anticipation of life getting better, but I think it's very unlikely for that to happen again in the future

[surreal bison]

I do seem to be happier than my friends.

This definitely used to be false.

I still find it a bit surprising now.

I'm fairly lonely

[visual breach]

Oh, may I ask what happened?

[visual breach]

I imagine this is just fact of life

[surreal bison]

Highschool and not transitioning

[visual breach]

Hmm

[surreal bison]

oh you mean what changed?

Leaving highschool and transitioning.

[surreal bison]

no

Many people are not lonely

[fresh comet]

actually, I'm not lonely

but I am often alone

[surreal bison]

I seem to be lonelier than, say, my friends

[visual breach]

Huh, hmm

[fresh comet]

being alone is generally not the same as being lonely

[surreal bison]

Pretty clear to me that I am lonelier than most.

[ripe needle]

Loneliness is a state of mind. People with 0 friends can be not lonely, and some of the loneliest people in the world are surrounded by many.

[visual breach]

Ah, I guess you do not have inclination to make friends then?

[fresh comet]

I don't, no

I have a pretty solid friend circle

[visual breach]

I see, idk why I thought it's natural to be lonely

[fresh comet]

even if we've all mostly gone our own ways for now

[visual breach]

Ah, well that also explains it

[fresh comet]

to be fair, this is not necessarily a good thing

[tender tulip]

In a way I just don’t want to experience anything, like just not exist, not have to experience knowing impending that I’m not going to exist because the anxiety of doing such, the overriding protocol built into me tortures me into compliance. I don’t know if it’s a good thing or not

[fresh comet]

it partially prevents me from talking to new people

on top of my social anxiety

[ripe needle]

The daily struggle of sentience

[visual breach]

Yeah, I think it is just a trait

[fresh comet]

mhm

[visual breach]

Protocol of life

[surreal bison]

...this sounds bad

my sympathies

[latent edge]

I think in college

I'm pretty much lonely

[daring parrot]

i love u @latent edge

[latent edge]

[fresh comet]

that came out of the blue lol

[neat lintel]

I love u @latent edge

[latent edge]

[fresh comet]

that was more expected

[visual breach]

What does this emote mean

[latent edge]

meeku

[fresh comet]

it means , of course

[latent edge]

https://tenor.com/view/miku-anime-dropkick-shopping-dropkick-my-devil-gif-26190208

[latent edge]

It means motivic cohomologyeeku

I guess the number of simps has increased

Mom I'm getting popular

[visual breach]

Well, aren't you already popular in general

[latent edge]

sudo number of simps

sudo number(simps)

[visual breach]

Is deltoid's secret being good at talk or ANT

[fresh comet]

both

[ripe needle]

He's good at something

[vivid halo]

tfw there is no such thing as introverts and extroverts but merely the observation that "there is a minimum level of social interaction below which people get weird, and a maximum level of social interaction above which people get weird in a different way and these levels differ between people"

[tender tulip]

I somehow manage to violently swing between both

[visual breach]

Fot me, the two levels coincide

[tender tulip]

I will go from being a hyper extrovert to interacting with everyone to randomly panicking and going like completely dead silent for days on end

[visual breach]

So I am constantly wier..

[orchid badger]

hey everyone
ok
so one thing i want to ask you all

how youdecrypt any affine cipher funciton

[alpine comet]

Frequency cryptanalysis

[minor current]

why is math so hard

[jagged forge]

real

[near halo]

study more

[crisp seal]

Mathematics being hard is what makes it good

[tacit magnet]

Thats the funny part

[long matrix]

miku

[lapis jungle]

im thinking miku miku oo ee oo

[neat lintel]

That is an Group-Lie ?

no, this is one

[mint patio]

@surreal bison hello my ADHD friend would you have a moment to talk about the attention deficit hyperactive disorder of the brain cells

or any other spazzes I know

[glass peak]

Yeah probably don’t say that here

[neat lintel]

Does anyone speak Spanish?

[mint patio]

o

okay

Why is it offensive if I have ADHD too? /gen

[jagged forge]

i wasn’t aware that the word spaz was considered derogatory

it seems like attitudes differ somewhat between the uk and usa

[flat harbor]

i mean in general

"im allowed to use offensive word towards a group cause im in it" is just cringe

[glass peak]

Yes because it was considered an actual medical term in the UK for a while but it definitely became a slur here

[glass peak]

Without even getting into the whole mess of who can/should say it I just think it’s better to avoid saying shit like that in public space where you don’t know everyone

I wouldnt say the f slur here, and people aren’t allowed to use the n word here even if they are black ya know

Like I don’t personally care about the use of the word, but I think for loaded words like that it’s best to just avoid their use in public settings, but I mean you don’t have to listen to me

[mint patio]

Why?

[mint patio]

Yeah that's fair enough

It's just such casual language to me atp I didn't really think about it

I'll be more careful

Thank you

[flat harbor]

maybe other ppl of that group dont feel the same as u do

maybe ppl outside that group can still feel uncomfortable with its use

its a delicate thing and might be empowering to some sure

but its undoubtedly inflammatory so when u use it at least consider it so

[mint patio]

I understand

[mint patio]

I'm kinda ashamed I never really considered this

[flat harbor]

i mean evidently theres a cultural divide on it as well

[old oak]

Yeah, in my opinion the slur privilege thing only really works when you're among people who also have the privilege.

At least that's how it works for me; I'm gay and I do employ the slurs playfully at times, but only when talking with my gay friends who I know wouldn't mind in that context.

[earnest flax]

i now realised why i feel no pressure 💀

as i said i learn too quick

the problem with that is:
When learning some topic you go from lowest difficulty to highest

you can't learn exponentiation without your multiplication basis

[earnest flax]

but when faced with something at my level (say in a hipothetical situation i already have completed addition basics and going to multiplication) i learn everything exponentially fast

[graceful flower]

right, so why do you need the pressure?

[earnest flax]

i need pressure to start learning or else i'd be bored

[graceful flower]

wouldn't being bored make you want to learn though

[flat harbor]

every person who has talked to u here has told u to get real and pick up a book

if getting told to stop yapping by every person u talk to doesnt "pressure" u then thats just a flimsy excuse ure making up

get real

[earnest flax]

The only thing that would exert actual pressure on me would be the exponentials (but as said we can't go from addition to exponentials, we need multi first)

[flat harbor]

i feel like once u leave whatever echo chamber ure stuck in ull be pressured to do shit to get a job regardless

literally work at a subway

[earnest flax]

i'm learning matrix but i'm learning too quick and i don't feel pressured

[flat harbor]

then learn smth else

stop bitching in public chat

[earnest flax]

alr i'll stop 💀

i'll go learn more matrix stuff

[neat lintel]

Can I use this for 2D / 3D cameras in a game engine?

[neat lintel]

It will always feel like that

[proud olive]

You should look into splines

[neat lintel]

best way to feel pressure is to not study utill 2 days before an exam

[neat lintel]

I have, i forgot it all

Great video https://www.youtube.com/watch?v=jvPPXbo87ds

[proud olive]

Yeah it's a work of art

[surreal bison]

indeed graphics uses many projections

usually in RP^3 tho

to allow for affine transformations and perspective

[flint arrow]

Image of a person staring at a complicated math problem with a puzzled expression.

Caption: "When you finally solve a complex equation and feel like you've unlocked the secrets of the universe, but then realize you forgot to carry the one."

[old oak]

You didn't notice that you divided both sides by an expression that's actually 0

[flint arrow]

Thx

I find this meme in internet

[old oak]

Yes, it's not a very accurate depiction of what mathematicians do and what they get wrong

[alpine kindle]

or you made a sign error

[limber ether]

can someone help me answer this quick permutations question

[neat lintel]

Is it possible to make a function with the outputs

1,1,2,2,3,3,..., n-1, n-1, n, n ?

[neat lintel]

ChatGPT ahh meme

[neat lintel]

Ceiling(n/2) ?

[fervent pebble]

you dont spend all ur time solving harder and harder equations?

wow

maybe you’re just doing math wrong…

[icy locust]

hoMONGUS coordinates

[surreal bison]

yes. you just did

[surreal bison]

replace "carry the one" with "forgot a minus sign"

or "forgot 11 minus signs"

[surreal bison]

famous examples include einstein unlocking the secrets of (the long term history of) the universe

[jagged forge]

@surreal bison so here are some numbers i dug up:
mathematicians: mean $120,000, but $130,000 for govt employed
actuaries: mean $130,000
statisticians: mean of $110,000

the median is similar for all three, but interestingly actuaries have a much higher p90 at $209,000 vs mathematicians at $180,000

my uneducated guess is that the mathematicians category has a lower p90 due to stricter guidelines on salary for govt employees -- supposedly it's to some extent governed by the General Schedule system, which is capped at like $190,000 only if you're grade 15 step 10 (which i think takes many years to reach if at all) and living in one of the areas that gives you a locality bonus

for quantitative analysts, the BLS doesn't really have a good category for this, so the best i could find was this glassdoor page (which i think is composed of self-reported salaries) which says their range for quants is like $147k-$262k, and an "estimated pay" (whatever that means) of $195k

so, in summary, for mathematicians, seems like the nsa doesn't pay much better than actuarial science if at all? and probably not better than quants (depends if you trust glassdoor)
also there are like, a lot more actuarial science jobs it seems

@jolly junco you might be interested in this too

that said, actually it seems like getting a job as an actuarial scientist is a higher bar to clear since you have to take a series of exams

[proud comet]

Most of the actuary exams are scheduled via coursework in university. you probably complete the first third of them in school iirc. You then get hired and take the rest on the job. That’s how I remember it working.

Clarifying: Via= in parallel with

Good applied math, actuarial sciences programs would make this very clear in their dept website.

“Pass exam 5 on the job and get a pay bump” kind of thinking.

I think I was qualified/thinking about GS14? Jobs when I got my PhD if that helps.

[jolly junco]

That's cool to see and it makes sense, but I'm not sure why quant is so much higher. (Estimated pay is probably the median or something.)

Also, if those salaries are self reported then we should definitely take them with a grain of salt

[surreal bison]

ehh after filtering for obvious trolls

[jagged forge]

speaking as someone who has connections to that part of the industry, it doesn't particularly surprise me that it's higher -- bonuses of like 100% of your base salary depending on company performance are common

but if the firm doesn't do well that year, you're out of luck...

[jolly junco]

I have zero information whatsoever and bonuses like that sound wild tbh

[jolly junco]

Yeah makes sense. So it's very cut-throat?

Btw if you're on iphone and want an em dash you can hold down the key for the regular dash

[jagged forge]

from what i've heard, if you're actually the one trading and making decisions, your job is basically on the line depending on your performance

i'm not sure if all quants necessarily have that level of responsibility though

[jolly junco]

But then surely salaries would be lower for those positions?

[jagged forge]

yeah, i would think so

tbh i'm a few degrees separated from this industry, i don't have that great an idea of how it works -- i have a few family members & friends who have worked for hedge funds but not on the quant side

my brother is a software engineer at a hedge fund and i think he gets a bonus of like 30% -- i assure you the quants get a decent chunk more than him

[surreal bison]

but those characters suck and should die

i'm being serious. those and 'smart' quotes

[jagged forge]

what are smart quotes

[proud comet]

Why are there 3 types of quotes!?

[jolly junco]

ꓷoǝs ʇɥǝ ɯǝuʇıou oɟ ꓵuıɔopǝ sʇɹıʞǝ ɟǝɐɹ ıuʇo ʎonɹ ɥǝɐɹʇ¿ Oɹ ıs ıʇ pısƃnsʇ¿

[jolly junco]

I think they're the ones that curl facing the text between the quote marks

[jagged forge]

ah

[jagged forge]

somehow i managed to read this

[surreal bison]

i like unicode

just not –,—,“,”,‘,’.

[jagged forge]

i like the long dashes though

[jolly junco]

Yeah the dashes are great—even hyphens

[surreal bison]

horrible

what is wrong with you

i have lost all respect for you

[jagged forge]

what do you use

--?

[sage turret]

Cbest math

[jolly junco]

Imagine comma'ing everything like a simpleton

[sage turret]

Cbest reading

[sharp coral]

so me and my friend have conversation about Principle of Explosion and Law of Identity. I said that i can use Principle of Explosion to deny the Law of Identity making it not the most fundamental law anymore but he said even so the Law of Identity is still the absolute law by saying.

"The law of identity is more fundamental

Let's say we have the statements:

A: "It is raining."
B: "It is not raining."
If we assume both A and B to be true simultaneously, we end up with a contradiction because it cannot be both raining and not raining at the same time in the same place. According to the principle of explosion, from this contradiction, we can derive any statement. So, for instance, we could derive "The sky is green" or "2 + 2 = 5." The contradiction allows us to prove anything to be true.

And we can say the law of identity is wrong. but the problem is, for the law of identity to be wrong it will have to be equal to itself to be wrong. Meaning the law of identity being wrong would still fall under the law of identity.

Even 1≠1 would need to be equal to itself to be 1≠1.

Even the principle of explosion needs to be equal to itself to exist.

Even saying the law of identity not existing would mean its non-existence needs to be equal to itself therefore the law of identity would still exist."

I wonder what do you guy think, do you guy think it is right?

I really appreciate if someone can help me with this

[old oak]

https://en.wikipedia.org/wiki/Law_of_identity#Modern_logic

Identity is a relation on individuals. It is not a relation between propositions, and is not concerned with the meaning of propositions, nor with equivocation.

So in particular "it's non-existence needs to be equal to itself" is not something that's covered by the law of identity as we tend to understand it in mathematical logic.

[sharp coral]

so i can use the Principle of Explosion to deny the Law of Identity?

can we use Paraconsitent logic to make a statement about the Law of Identity is false?