serious-discussion

[tribal dove]

Ik this is probably such an over asked question but what’s the use of imaginary numbers

[pale orchid]

they make some operations easier

and more than looking at it from "what's the use?" perspective, they show up naturally

[toxic schooner]

my fav is 69+420i

[distant vortex]

My fav is sqrt(69^2+420^2) e^(i arctan(420/69))

[neat lintel]

why do i see these numbers?

[pale orchid]

presumably because photons are interacting with your retina

[turbid epoch]

Like how the cubic equation had 17 forms only to make them non-negative?

[leaden torrent]

it is a touch bizarre how "slow" the development of mathematics was between Euclid and the Islamic Golden Age

like it wasnt totally barren

we have big names like diophantus from that time period

and chinese mathematicians were actually accomplishing a lot

but progress, at least in europe/north africa/the middle east, was unusually slow

oh, i'm neglecting to mention indian mathematics but it was quite strong back then

basically all of trigonometry happened in that period

including some of the earliest (accurate) computations of pi

[turbid epoch]

Sine and cosine tables too.

[leaden torrent]

i wonder to what extent we can blame the romans

like obviously if we're gonna talk about that period at all, rome has to come up

and while its no denying rome had some pretty impressive feats of construction and engineering

their math output was essentially null

but that just raises the question of "why"

obviously roman numerals suck but im pretty sure thats massively oversimplifying it lmao

[turbid epoch]

better priorities?

idk

[leaden torrent]

its not like they lost the art of mathematical reasoning

euclid was standard material for roman aristocrat students

they just... kinda stopped there lmao

[turbid epoch]

I think it raises a better question: Why does mathematical development happen?

[keen abyss]

Just want to give my 2 cents on the new channels since I've used a similar system on another server, they bot needs to be a bit more aggressive with culling. You got threads that have had effectively no answer for severals hours. I am by no mean a pro helper but I do love to come here when I am bored to answer a question here and there if I can, and I feel leaving some questions for so long can be unhelpful. At least in my opinion when helping someone , I try to get them there, not just give them the answer ya know, it's a process of leading them to the answer, it's hard to do when you allow questions to last several hours as every time you basically gotta get back into the context.

Which is kinda the second problem, although more selfishly, and i haven't seen this here yet but on the other server we used this method until they reduced culling to 15 minutes interval approval, you'd inquire about a few things for a question... no answers and so on. And then 7 hours later someone starts dming you for help because they need the help now and you got other things to do ya know. And if you do have time, you still gotta spend another good amount of time to get back into context.

One of the reason why we implemented the 15 minutes health check on questions was that people kept trying to solve a question on their own. Previously, on the programming server I am on we allowed 24 hours for questions to be up, which led to people throwing up the question and moving on the something else to wait for an answer, instead of continuing to look on their own as well. I know it sucks not getting your question answer (god knows how many questions I asked here for some maths I was doing and only one person here was really able to help, and most of the time I just had to figure it out myself, not a bad thing per se), but I feel like setting what amounts to be "permanent" channels for questions might actually be counter-productive.

[steep mountain]

im telling you just give it some competitiveness ,everyone wins
give people reason to help other than the courtesy of their heart

or people need to understand no one is obliged to help them

[vast surge]

My main thought on the new channels is "Ooh new alg geo channel, cool, I'm too much of a wuss to read Hartshorne"

[keen abyss]

Competitive can be nice but it can lead to people wanting answers for the wrong reason. Sadly the zero sum game ends up being "Answer as many questions as possible even if the answer is wrong, to get as many points as possible." You often see this on forums, people copy-pasting the first google answer (which is wrong or doesn't fit your cast) and reminding you 15 times within their answer to mark them as the solver and blah blah blah.

[swift sinew]

Remember to switch your clocks back tonight, we get an extra hour of sleep

[deep mango]

Thank you for the reminder

I almost forgot

[compact tartan]

thing is, it is 15 minutes

after 15 minutes the bot asks you. After additional 15 minutes if there's no answer the channel closes due to timeout

if you say ❌ the duration for the next prompt is doubled

[lean glacier]

btw, there was one instance yesterday when the bot transferred the channel under the 'available' category without stating that it closed the channel beforehand

[neat lintel]

[lean glacier]

it's also worth mentioning that the bot asked about the status of the question only 3 minutes after the latest message

[compact tartan]

example?

[lean glacier]

hm, lemme try to find it

[compact tartan]

messages from non-author only count for 5 minutes

commands do not count

[lean glacier]

the latest message was one from the author

it wasn't a command, either

[lean glacier]

nvm this, the bot's notice just didn't appear for the first time. my wifi is nice

[lean glacier]

that seems to be the case

after which it closed due to timeout

[keen abyss]

Unless there's a bug in your bot, I've seen channels that have been opened for 12 hours where the bots asks 3 times (after 1 hour, 2 hours, 4 hours) and then never asks again.

[fringe needle]

This is because they selected the cross icon I think so the question remained open

[deep mango]

The best part about daylight savings ending is that I dont need to worry about whether or not to put EDT / PDT anymore instead of EST / PST.

I'm still going to forget which one we're in

[sick kite]

What even are timezones.

We should all use GMT

Long live the British Empire

[vague lion]

naively it looks exponential

half an hour, one hour, two hours...

[swift sinew]

red hour, blue hour

[gleaming light]

[gloomy marten]

unbased

WET

is better

same thing but it's always wet

[ancient flame]

this should be the notation for the a composition of n functions 😎

[fair mural]

bruh

[honest veldt]

Sweet, make it official

publish the paper

[swift sinew]

ngl I kinda like it

[swift sinew]

just waiting for someone who knows a lot more than me to hop in and explain just why this notation would fail in practice though lol

[ancient flame]

lmao

it makes it compact to generalize the chain rule

(for differentiation, idk if other chain rules exist lol)

[swift sinew]

Like this kind of chain rule?

[ancient flame]

LMAO

that's good

+20 points

[sharp palm]

@midnight bone Excuse the ping, but I love your connect 4.

[midnight bone]

Thanks

That's one of my really old programs

[sharp palm]

It's pretty hard to beat. Perhaps I'm just bad

[midnight bone]

The AI generally doesn't let you mess up, but it makes plenty of mistakes. Connect 4 is a solved game, and there are other programs online that never make a mistake.

[sharp palm]

Yeah, if you play intuitively though I meant.

The golf thing is on another level xD

[peak halo]

Alright so how do I explain to my professor that I didnt do a project that was due a week ago because I was lazy

[limber thunder]

either say literally that or just don't turn it in

unless you have other reasons e.g. related to mental health or personal issues

[peak halo]

Alright thanks man I didnt that that assingment was worth as many points as it actually is

[neat lintel]

hi i was looking for some advice, anyways i'm planning to enroll in my local uni next fall kind of stuck between should i do the pure cs route or do combined major of math and cs?

[leaden torrent]

https://www.perild.com/2021/11/04/after-awarding-his-wife-twice-bolsonaro-awards-himself-medal-of-scientific-merit/

[sly thistle]

Romance isn’t dead

[fast ivy]

Brazil

[brazen bough]

Great scientist

Warned a whole nation that vaccines can turn you into an aligator

Thanks jair

[long lark]

Great scientist

Sold the Amazon to companies who want to destroy and exploit it

Thanks jair

[neat lintel]

It is certainly somewhat good, except you would need to define a sequence of functions

[ancient flame]

Let $f_n(x)=nx^2$ for $f_n:\mbb{R} \to \mbb{R}$ and $n \in \mbb{N}$

ezpz

[fathom swallow]

gmod

[neat lintel]

hmmmmm 😐

[jolly mantle]

Halo

Hello *

How to write congruents with texit please 😭

[neat lintel]

#latex-help

[neat lintel]

I read through a lot of the math reddit pinned posts. It's well said regarding "asking for books" being easy and "finding a study partner" being hard, and that's what the "math community" online should be for.

I've had this thought topic come up in my head many times, about finding a "good study partner" for just about anything. I've tried to ask different friends, classmates, or people online to study something together. Out of friends, only one friend entertained the idea of watching pro guide videos/studying games of high elo play in LoL (a game). They lost interest in doing it because it was "too much work" and they prefer to just play more casually. Another friend, entertained me in hearing out my idea of "studying math together", but when it came to us actually doing anything, they quickly opted out with them "preferring to study alone", despite their personal study habits being absolutely atrocious. Out of classmates, a few agreed to study different topics. When meeting up, they all just joke around and generally avoided admitting they dont know something (resorting to distractions).

So, I think about what these magical beasts called "study partners" are. Looking online, I can't really find any discussion on.. what makes a GOOD study partner?

[icy forge]

Perhaps instead of characterising the goodness of study partners, you find a study partner.

[neat lintel]

k

[meager furnace]

bro what? they literally said they tried that several times lol

[meager furnace]

i think it's a bit obvious right? "good" partners will meet their partner's needs and vice versa. It's distinct from being a good student because you're looking for a partnership, which is unfortunately not a thing that you can just figure out about someone without trying

[fringe needle]

It’s honestly just hard finding study partners and keep in mind the problem might not just be coming from them it’s a two sided thing

[ancient flame]

it's like a relationship

both people gotta be committed

[bronze pelican]

The way I have good "study partners" is by having weekly meetings were we present the material we learned from a book, discuss the material and/or work out exercises or present exercise solutions

I've been doing this kinda joint reading groups for several years now

The weekly meetings helps you and your group be accountable

And the explaining to others makes it so you more strongly understand the material

Like when its your turn to present, you actually have to learn the material for deeply to be able to present it

And when its not your turn, evem if you don't put all your effort into learning the material, you still learn something by trying to understand your friend explain it

And of course you can ask questions

Its just a very healthy way to learn math

[ancient flame]

I love teaching others what I've learned

helps me understand the concept so much better

and I also like to make youtube videos on my findings bc that also helps lol

[bronze pelican]

I like making yt vids too

But its so annoying uploading them

My internet speed is slow af

[ancient flame]

rippp

lemme check u out

bruh u make long ass videos

that's not gonna help lol

slow internet + long videos = disaster

[bronze pelican]

Long videos

Making shorter videos requires me to intentionally plan out my video and time it

[ancient flame]

I see you prove a bunch of theorems and stuff

just do like one theorem at a time

I make 10-20 minute videos plus youtube shorts

[paper thunder]

Hi. I need an advice. What can you do if you prefer to study by yourself and not going to class? I think I do well. But some people recommend me to go and I don't know if that may affect my learning. I just read books and do the problems (And the teacher notes too)

[meager bridge]

Go to class after doing your own research to try to falsify what the teacher is saying. Your attitude should be to debunk the teacher

You'll be humbled if you have a good teacher

And if you got a shitty one who gives no thrills then you better not go

[meager bridge]

Good channel man

[neat lintel]

bad advice

If you are in university you should always go to lecture unless your lectures suck. Otherwise its good to review before lecture and after lecture, and sometime in near future before next lecture to solidify what you know

Never go into lecture with the aim of proving prof wrong, but go in with the goal of head nodding to everything said

[cold needle]

you should not blindly nod along

try to autocorrect whenever possible

i wouldn't make a fuss about it in class unless the error has the real potential to mess things up for other students

but takes notes to yourself

[dusky ivy]

we had bingos about profs (with phrases that they use often) so ppl would concentrate on every word lolol

[meager bridge]

Wut

[neat lintel]

who said blindly

[meager bridge]

No don't do this

[neat lintel]

i meant metaphorically headnod

[meager bridge]

Ok

[cold needle]

it was in addition to what you said

a qualifier, even

[meager bridge]

You used what as a metaphor for what exactly

[dusky ivy]

I think what Mahael meant is that a good student is supposed to understand every part of prof's reasoning going on

[neat lintel]

metaphorical as in what it symbolically represents

agreeing because you follow

not literary metaphor

[meager bridge]

Oh yes important advice DO NOT ARGUE with the prof if he says 2+2 makes 5 you write that in exam and shed a tear of joy because you know sunlight outside the cave

[neat lintel]

tbh i dont know if this is good

in my alg top class my prof omits notation like a mfer

unintentionally

[cold needle]

omitting notation is not the same as saying something blatantly wrong

or not blatantly but

[still knot]

2+2 is 5 now?

[meager bridge]

I'm pursuing electrical engineering and it feels like a math degree

[still knot]

thank you i learnt a lot

[cold needle]

something wrong but nothing totally awful

typos

[neat lintel]

oh yeah but correcting board typos take away from class sometimes

[meager bridge]

If the prof says that's your answer for the exam

[still knot]

ofc :)

[cold needle]

yeah i mean don't call them out every time

[dusky ivy]

but ppl can get confused by typos, so it's good

[still knot]

in college every the prof say is right

[cold needle]

thats what i meant by not making a fuss about them

[meager bridge]

Yes

[neat lintel]

back to topic what class?

[still knot]

zeta function

[neat lintel]

i genuinely believe that if you are doing arithmetic classes that make you compute over and over it might not be worthwhile

everything in calc pipeline up to diffeq you can probably skip. not linear algebra though, those classes are worthwhile

if you are doing more abstract classes then you should take everyones advice posted

[meager bridge]

If you're in a lab

Try to do the paperwork first

Like the file etc

I don't know if western universities make their students write down practicals

We write down the entire stuff here

So that we don't have any time for creativity and the prof can deduct points for asking questions even further

[dusky ivy]

in my uni skipping a lab is like signing up for a looot of trouble at the end of the semester

[meager bridge]

It's a bad time to be a student

I mean I have to learn web development too because the employers look for skills like

And there's zero manufacturing or development

Government is not paying it's own employees and using that money to pay debts that were generated by government companies because government was not paying it's own employees

While government undertakings are being sold to wealthy burgeois

[hidden bone]

Anyone here in April shop

[dusky ivy]

It's an amazing time to be a student though. So much information in the internet, so accessible. Even paywalls are quite easy to work around.

Your prof sucks? Don't worry, MIT or some other cool uni has records of an extremely similar course for free.

[molten cipher]

not all cool courses are available online tho, but yeah there's russian ebook site, so I does feel overall it's great time to be student

also direct interaction often make for much better discussion

[dusky ivy]

well of course direct interaction is often better

[meager bridge]

Except for getting a job man

Anyways

[dusky ivy]

Well, you're worry about getting a job after being a student, so :D

[meager bridge]

Like are there any online resources I can use to practice uni level problems? books are very expensive and I can't keep on buying so many because of the variety of stuff included in electrical Engineering

I mean

How do I find problem sets

Online

Really easy to really hard ones

Because I want to solve tons of problems

books have barely 15 questions on a topic

Some very hard some easy and coverage isn't enough

[dusky ivy]

Maybe you should ask that on Electrical Engineering server?

https://discord.gg/tUU9dPp

[meager bridge]

I was thinking about math atm

I'm in that server already

[neat lintel]

try asking them and be patient

[meager bridge]

Ok

[dusky ivy]

I think he meant that he needed a source of math problems

[neat lintel]

arithmetic is basik

[turbid epoch]

Guys, ANY natural number can be written as sums of whole number powers of 2, without using duplicates.

[swift sinew]

0

[primal crater]

yes

it's called binary

[turbid epoch]

I know

still

it's awesome

[primal crater]

wait till you learn p-adic numbers

[toxic schooner]

:scared:

[turbid epoch]

is that number theoretic?

[surreal sapphire]

basically

i mean they are interesting in their own right, but they encode information on divisibility by p so they are especially powerful in number theory stuff

[paper thunder]

Each one of them. I'm taking Probability, Linear Álgebra, Calc III and others too

[neat lintel]

you are math major so try and go to every course possible unless prof in shambles

[dry bobcat]

Tensors sound pretty hard.

I cant even begin to understand that sh*t.

[neat lintel]

multidimensional matrix

lol now learning about it formally it feels like the worst interpretation

[honest veldt]

it's something that transforms like a tensor

Get rigorous

[cold needle]

get real

[honest veldt]

in what class do you actually learn about tensors, I have no clue

[cold needle]

my physics class mentioned them but did the whole

"transforms like tensor" meme

i still don't know a thing about them

its ok

[honest veldt]

Lmao

Demise

[cold needle]

Shambles

[honest veldt]

We'll figure it out one day

Apparently mathematicians call them something different?

[neat lintel]

Mathematicians have trash notation

[vagrant kestrel]

there is no class where they teach you tensors

you just have to know

[neat lintel]

Multilinear algebra?

[honest veldt]

eventually when you're deep enough into maths, it just dawns on you

[neat lintel]

class on multilinear algebra
lmao

[honest veldt]

You just figure it out

[neat lintel]

You dont need to laugh your fish off, multilinear algebra is a real thing

[honest veldt]

It's real..

[neat lintel]

did i say it wasn't

[honest veldt]

No, I'm the one who's surprised, I didn't know it existed

[neat lintel]

[muted parrot]

@lean glacier Sorry for the late reply. What i meant by the "direction" was regarding finding the stationary points at the boundary of a constrained field. For example, look at the question below, we can find the interior stationary points of the field by setting grad(f) = 0 and the boundary stationary points by using the lagrange multipliers. The nature of the interior points can be found by examining the SDT or if inconclusive do the test you mentioned. The question about "direction" occurs when looking at the nature of the stationary points on the boundary of the field. By introducing an orthognal vector to the point of interest and knowing whether the boundary is a maximum/minimum we can deduce the nature. The orthognal will help in finding the angle between the point of interest, knowing if its > 90 or <90 helps in evaluating the directional derivative, thus we can know if its a maximum or a minimum or saddle.
If the boundary is a maximum but angle > 90 then the point is a maximum
If the boundary is a maximum but angle < 90 then the point is a saddle
If the boundary is a minimum but angle > 90 then the point is a saddle
If the boundary is a minimum but angle < 90 then the point is a maximum
Thats what i've been taught anyway.

[neat lintel]

me neither, I only know the name and what you study in it

[white hamlet]

Why are so many help channels hidden?

Pls ping me if you got the answer

@white hamlet

[deep mango]

it replenishes the available list as needed

[raven vector]

A tensor is a thing with 2 indices

Not even joking i read this in a textbook

[deep mango]

[honest veldt]

Ah it all makes sense now

I need the name of that textbook right this instant

[raven vector]

Idk know anymore it was a sr text

[paper thunder]

Read Spivak Calculus on Manifolds

There it's the definition of tensor 🤔

[raven vector]

We are memeing

[paper thunder]

[sick burrow]

Should I take a statistics course next semester

[ancient flame]

statistics is fake math

but if you're doing anything w business then yeah you should

or a bunch of other majors

[steep mountain]

if you wanna die from boredom yeah 👍

[fair mural]

good to know i’m not the only person with this opinion

[leaden torrent]

to save screen space

theres like 35 help channels, if we put them all at the top of the server, itd take up way too much space

so we tuck away excessive ones at the bottom when theyre not needed

[vague lion]

it's not like they don't take up too much space anyway

[leaden torrent]

they do but at least the ones taking up space are occupied

i.e. theres a point to them being there

rather than just empty husks

[ancient flame]

coco nut!

[neat lintel]

So, I asked a person to tell me what we did on the class that I didn't attend today. They've answered with "oh, you weren't there at all?". The class has less than 10 people in it, and the classroom is really small, and I'm sitting close to that person
Is that person pretending?

[bronze pelican]

ask them maybe?

[neat lintel]

Like "Sorry, but were you pretending lmao"

I don't think that works 🤔

[analog salmon]

does anyone smarter than me know what this meme means

I feel like it's a good one, I'm just not smart enough to get it

[neat lintel]

Maybe you should do more math

And then you'll understand this as a reward?

[bronze pelican]

mathematics is connected
no need to argue over applied vs pure maths

Wow this is actually wholesome and spreading a positive message

[analog salmon]

obviously there's no need to argue because pure maths is better

but that's beside the point

[leaden torrent]

its a shitpost.

[analog salmon]

is it? It seemed like computational trinitarianism was a real thing, it just went over my head

[bronze pelican]

https://ncatlab.org/nlab/show/computational+trilogy

is this nlab page a shitpost?

[leaden torrent]

shitpost doesnt mean fictional

it means shitpost

[untold sapphire]

computational trinitarianism is a bit of an overstatement in my opinion. There are strong connections between category theory and type theory and strong connections between proof theory and type theory. However unfortunately the connections between proof theory and category theory have been somewhat limited in my POV. There are a few examples but they are the exception rather than the rule.

Joachim Lambek has written on categorical proof theory

I think maybe once you go beyond 1-cats to infinity cats there are more connections.

Really to have anything useful for proof theory you need this kind of notion of "beta reduction" which is not super compatible with the 1-categorical pov but is probably a good fit for the infinity categorical pov

[neat lintel]

Are the exponents of polynomials real numbers? 🤔

[neat lintel]

x^2 is the exponent of a polynomial. certainly not a real number

[rose quest]

x^sqrt(2) is a polynomial?

[swift sinew]

Am I just having a brainfart? I do not understand what TTerra is saying

[neat lintel]

dans all around 2day

[devout nacelle]

TTerra I think "exponent" here means the power of a certain term, as opposed to a term itself

[neat lintel]

please

[devout nacelle]

[jovial ember]

@alpine kindle kekw large cardinals

(I cannot send messages in #chill)

[alpine kindle]

oh

yeah

he's a capacious catholic

[neat lintel]

sish post mean sish post

[compact tartan]

yes

[neat lintel]

(same here)

[jovial ember]

I’m trying to lower my messages in chill / total messages

[devout nacelle]

All your messages are #chill -tier anyway

[jovial ember]

[distant vortex]

Why are you trying to lower it? 👀

Having a low chill ratio is good because your brain isn't rotten, but not if you just drag chill convos to other channels

[jovial ember]

I am not chill-tier

I am chmonkey-tier in everything I do

[pale orchid]

chillmonkey

[honest veldt]

I can actually get banned if I chill too much?

[deep mango]

idk chmonkey... you seem pretty chill-tier to me...

[jovial ember]

Good morning!

Ryc I thought I’m the second best user on this server 😢

Wrong emote

[deep mango]

honorable tierlist when? the tiers are "chill-tier, discussion-tier, ivory-tier, helper-tier, advhelper-tier"

oh let's not forget vc-tier

[jovial ember]

What about bleak-tier

And then there’s topology-and-geometry-tier for all the weebs

[deep mango]

true topology-geometry posters are def a tier below other advanced helpers

bleak tier is just ivory tier

then you have people like gomez who are half and half between chill warriors and advanced helpers

hmmm

[pale orchid]

wouldn't bleak be ivory + chill

or maybe that's sully tier

[deep mango]

that is sully tier

[leaden torrent]

im tier

[maiden bear]

what is this? Brave new world?

[deep mango]

lol

[hollow jackal]

[shy pollen]

guys discussion 1 and chill just disappeared for me

god help

[vague lion]

ctrl-r

[primal crater]

guess u r not allowed to chill

[turbid epoch]

~Unpopular Opinion: This math server>>> that other math server

[stray kite]

which

link me

[steel sorrel]

That would imply that the popular opinion is that This math server<<<that other math server

Which is not true we are simply better

[turbid epoch]

bruh I only ~ the word popular

[analog salmon]

yoooo we're almost to schemes in my AG class

let's goooooooo

[devout nacelle]

As you do more and more math, you realise that presenting your ideas clearly is extremely important for your own progress, including but not limited to posing questions in a sensible manner, and explaining your work clearly. This is achieved only through practice. Symbols and words that are often used very loosely at a relatively lower level of education gain more precise and strict meanings as you go ahead, hence why you'll often be nitpicked about them. This is a good place to learn from them.

[river linden]

I think thats just ppl being bad at explaining

If you're a good teacher you can explain stuff simply

[deep mango]

this

most people on this server are like

"advanced" in math

[turbid epoch]

they are so advanced, sometimes their words borderline on nonsense

[deep mango]

in the sense that they are (relatively) dumb college students who have no idea how to explain something to someone else

[turbid epoch]

they're nerds

[deep mango]

anyway, they need practice explaining things too. it's a group effort for everyone to grow.

[toxic schooner]

not me
Im just a dumb HSer

[deep mango]

yeah i shouldn't have even said most people

but what i meant was "most advanced math people"

in this server

[toxic schooner]

The only advanced thing about me

[river linden]

person above whos good at explaining > person at your level > person above whos bad at explaining

[turbid epoch]

The only advanced thing about me, moral degredation.

[deep mango]

this is why math works best when you collaborate with people! even when helping other users. sometimes someone has a question that one person knows how to solve, and another person knows how to translate their solution into something readable (even if the second person didn't know how to solve the question in the first place)

that sort of thing happens all the time in the advanced channels.

i will see someone's question and have no fucking clue how to do it, but then someone types an answer and i'm like, ok, i get the picture now. and i can draw a picture and send it along too to help.

[toxic schooner]

its there so that
as was stated by ryc sometime ago
"to stop Highschoolers from asking geometry questions in #point-set-topology"

[devout nacelle]

This would generally be clear with your question and your attempted solution imo

[deep mango]

the advanced role is literally just to stop people from spamming nonsense in the advanced section

like it's just an opt in role to post in the advanced section channels

[turbid epoch]

The answer to anything in #foundations reads like Soviet propaganda to me.

[devout nacelle]

Fyi Ultra's answer is correct and something that you should expect at a minimum when you ask in #foundations

[deep mango]

that's literally just a bunch of english words too

[devout nacelle]

If you want a watered down answer you can ask to elaborate

Or just ask in #proofs-and-logic

[deep mango]

like there's nothing technical about ultras answer

lol

[turbid epoch]

I'm just dumb

[deep mango]

no you just don't know the definition of "consequent" and "antecedent" probably

[mortal igloo]

No one has mentioned yet that confusion in the example is justified because it shouldn’t be the reader’s job to infer whether an equation is stated for some values or for all values of the variables involved

[devout nacelle]

Less than a year ago most of what Ultra said went over my head

Now it does not

[toxic schooner]

it still does for me

[pale orchid]

now you just choose to ignore it

[toxic schooner]

but we are making progress

[pale orchid]

definite growth

[toxic schooner]

slow
but gradual progress

[deep mango]

sometimes it should be the readers job

[toxic schooner]

growth like deez nutz

lmao gottem

[pale orchid]

you should have a dr take a look at that

[toxic schooner]

⭐

[turbid epoch]

I feel like school is stifling my actual passion in subjects.

[toxic schooner]

oh come on

[turbid epoch]

Even math class is boring.

[toxic schooner]

this fucking star wont leave me

[mortal igloo]

I mean when high school students have a confusion over whether an equation means to solve for x or whether it means to prove it’s true, it’s not beneficial to continue playing the “guess what the equation says” game

[turbid epoch]

yeah, feels very condescending imo

and wastes a whole lot of time

[deep mango]

i mean it's a matter more of "person didn't remember to include context" as opposed to "person is trying to seem smart and tricky" in like 99% of cases

[mortal igloo]

There’s in general a lot of omissions teachers make that make math unlearnable (in the sense of Wu)

For example not saying what the graph of a function is, just teaching how to graph it

[turbid epoch]

We're doing physics with just some basic integration and differentiation formulae and duct tape

Most of the class doesn't know what a graph is

[toxic schooner]

your class is in worse situation than mine was last year

jeez

[turbid epoch]

Also, the Indian Education System has made it possible, actually mandatory, to take physics in isolation of mathemartics.

[deep mango]

I think that in a lot of cases the best learning and growth happens when someone has to come up with some of the tools themself to meet their teacher somewhere in the middle.

[turbid epoch]

You can skip math.

[deep mango]

that's not always the case, in fact it's probably not usually the case

[toxic schooner]

its nice

[deep mango]

but for some people (including me) it works better than having everything explained perfectly and flawlessly.

[toxic schooner]

[deep mango]

people IRL don't do things right most of the time, i'd rather learn how to deal with that than learn everything the exact right way without learning how to deal with things not being the exact right way.

but people always think i'm ridiculous when i say that building in flaws can actually be healthy, so whatever

[toxic schooner]

i agree

[river linden]

yeah seems good to be able to learn from imperfect resources, since most resources are imperfect

[deep mango]

but it's better if it's done in like

[honest veldt]

We're taught physics with basic algebra.. I'm in my senior year

[deep mango]

an intentional way

instead of just

"i am learning from someone who has no idea how to present this material"

i'm with you all on that

[toxic schooner]

no calc?

[honest veldt]

Not a shred

[toxic schooner]

[honest veldt]

We still haven't even learned to integrate

[deep mango]

i guess my point would be "if someone answers a question and their answer confuses you, working through that confusion is not a waste of time. in fact, it might be a better use of time than if you'd understood their answer right away."

[honest veldt]

That's coming up next week

[toxic schooner]

so like
u all go with difference in initial and final values and stuff

[honest veldt]

Yup

Very exact

[deep mango]

is this in AP physics B or something

[toxic schooner]

based point

[deep mango]

algebra based

[turbid epoch]

That's caveman physics

[deep mango]

such a garbage class

[honest veldt]

Basically equivalent to that, yeah

[deep mango]

yuck

[honest veldt]

Waste of time, really

[deep mango]

i remember how in AP Physics C our teacher always told us that we had it so easy compared to the AP Physics B people lol

and it was true

[honest veldt]

Lmao

[toxic schooner]

Our physics conveniently switches between calc and algebra used

[honest veldt]

They have to use more Greek letters

[honest veldt]

Uncool stuff

[toxic schooner]

[honest veldt]

Gotta commit to one

By one I mean calc

[toxic schooner]

like derivatives are at times replaced with just initial and final value differences

[honest veldt]

That's just lovely

[turbid epoch]

I just hope those non-calc guys are getting good use out of their abacuses.

[honest veldt]

Ice dweller level mathematics

[fair mural]

for some reason i like doing math without a calculator

that is, when it involves actual numbers rather than complex functions

[turbid epoch]

Yeah me too, abstract algebra is quite enjoyable without the usage of a calculator.

[fair mural]

i’m nowhere near doing abstract algebra but i don’t think abstract algebra uses numbers

or not in the normal way

[wild lantern]

They come up pretty regularly

[turbid epoch]

congruence modulo n...

shudders

[wild lantern]

Or just Z,Q,R and C

[turbid epoch]

yeah

[fair mural]

yeah that’s what i was thinking of

[wild lantern]

I'm pretty garbage at arithmetic so I usually keep a scientific calc nearby lol

[turbid epoch]

Yeah

He can also have goldfish memory

[toxic schooner]

yup

[turbid epoch]

Look Up James Joseph Sylvester

[toxic schooner]

but its still recommended to be good with calculations

not needed

but recommended

[turbid epoch]

This guy couldn't even remember a theorem he proved, and called it absurd when it was presented to him. lol

[toxic schooner]

Like knowing how to multiply/divide fast

and all that

it helps a lot

[devout nacelle]

Did you read this in Gallian

[toxic schooner]

but if u do enough math u will be good at it anyways

[turbid epoch]

yes I did

that's a good thing about the book

[toxic schooner]

gallian lore moment?

[devout nacelle]

A few pages have been dedicated to life and works of some relevant mathematicians

Sylvester is one of them

[turbid epoch]

The best thing about Joseph Sylvester is his quote in Gallian which says, "I really love my subject."

[toxic schooner]

Sylvester stallone!?

[toxic schooner]

oh this guy

i didnt read the last name

Lol

[fair mural]

as long as you know what you’re doing

[neat lintel]

[neat lintel]

Do you guys prefer degrees, radians or other units for measuring angles?

none

[steep mountain]

eagles per soccer field 🇺🇸

[neat lintel]

😉 ukw, this might be a response I should think of, I hate radians but they make sense, but I like degrees but they make no sense

[crystal stream]

one soccer field area / (average length of an eagle screech * foot^2)

wait shit this has units of frequency

[neat lintel]

Lol

[sick burrow]

Radians Kelvin

[neat lintel]

lol, sounds extremely funny

[honest veldt]

radians use 100% more greek letters, so radians

[neat lintel]

lol

are you greek?

[honest veldt]

Nope, but I mean, come on

[neat lintel]

You like how the letters look?

[honest veldt]

maths without greek letters just isn't what it should be

[neat lintel]

respectable

[honest veldt]

Of course

My man

[neat lintel]

🙂

Btw, do cyrillic letters have any conventions in math?

[crystal stone]

There's actually a name for this

It's called Expert blind spots

It's one of the first things you should learn as to why tutors on college campuses are necessary

Or TAs

[crystal stone]

This is actually true

There's been a lot of research on making fonts for textbooks more difficult to read actually improving students score on tests

Or books have mistakes in examples, etc.

More time you spend wrestling with material, it gets stored in longer term memory

I have ass short term memory, but excellent long term memory

I don't know if you've seen research on spacing out studying

But it's very interesting stuff. I tell students this all the time

and they're all surprised

I have a class that regularly doesn't show up

I'm currently teaching to a class of no one

[honest veldt]

Teaching what?

[crystal stone]

Pre-algebra

Remedial university algebra

High school algebra redux

Or whatever name you'd like to call it. But it's just basic stuff

We're on factoring quadratics

[honest veldt]

I don't remember over 50% of algebra, I'm coming over

[crystal stone]

no ty

I'm chilling on the couch and don't wanna get up

[honest veldt]

I've booked the flight, there is no going back

[neat lintel]

Good

whenever I want a function

I will always use a cyrillic letter instead

[tribal dove]

We were learning about domain and range and the teacher was like “so x can be any real number” (for the function f(x) = x^2)

And people were like “there are fake numbers? 🤡 “

Like bruh how don’t u know about imaginary numbers

[neat lintel]

I have no idea

LOLLLLLLLLLL

i mean if you're learning about domain and range

That is SOOOO funny

makes sense not to know about it i guess?

are you sure?

[mortal igloo]

Wow your students are either going to fail or really good at their stuff

[neat lintel]

I mean how can you be told (besides by an idiot like my teacher) that you cant take the sqrt of -1

depends on the field you're on

[mortal igloo]

Take the fourth root of -1

[neat lintel]

take the 8th root of -1

over R there is no 2nth root of -1

[cold needle]

splitting field

[neat lintel]

As if you are restricted over R

[mortal igloo]

Personally I’m restricted over Q

[neat lintel]

lol

I am restricted over all numbers that can be expressed with an expression

so you're restricted over definable numbers?

what is a number btw

good question

A number is something that behaves like a number - (what a mathematician basically would say)

[raven vector]

A tensor is something that behaves like a tensor

[neat lintel]

glad you caught on 🙂

that was partly/basically what i was referencing too

[raven vector]

Lol

[neat lintel]

But otherwise, I am restricted over all numbers that can be written as expressions of natural numbers

to be specific

Anybody know a good calculator app for iPhone? (I know android has wabbitemu) Not looking for a solver. Please ping me if you can

[crystal stone]

They are 100% going to fail

[neat lintel]

What?

[mortal igloo]

Responding to me

and oof

[tribal dove]

We just learned what a function is yesterday

[neat lintel]

what is a function?

[tribal dove]

Something that you plug an input into and it gives one output

When u graph the x is the input and the y is the output

[mint patio]

uhhh

can you have the same complex root multiple times

well ig why can't you

LMAO

you can w real roots should be no diff w complex

just feels weird

[river linden]

every real number is complex 😎

[mint patio]

yeah yeah

you know what I meannn

[river linden]

yeah lol

[mint patio]

inb4 I gotta say C mod R >.>

[river linden]

I'm just trolling

[thorn brook]

:troll:

[mint patio]

is math w/ complex numbers more geometric than with real?

like rn I'm solving and plotting complex roots to polynomials (z^3 = -1 + i, z^5 = -32, bla bla)

there's a lot of symmetry between roots and it's v satisfying

[neat lintel]

IMHO yes

The fact that we can represent complex numbers on a complex plane says volumes

[river linden]

and they're rotaty bois

[neat lintel]

how can you do that?

[neat lintel]

are you learning this in school?

[river linden]

possibly representing them in polar form would reveal the symmetry?

[mint patio]

yes

[vague lion]

no, it says planes. are you listening to yourself?

[vague lion]

it's only nice because the polynomials are nice

[neat lintel]

I learned about complex numbers in upper secondary school

[mint patio]

yeah I put them into polar form

you see the symmetry there

[vague lion]

once you get crap like z^3 - 4z^2 + 28z - 2.5i = 0

there's less symmetry

[mint patio]

[bronze pelican]

[vague lion]

in the general case there are some nice properties because it's more complicated and the extra complicatedness interacts in elegant ways

[mint patio]

can we use 3d space to plot single variable complex numbers/functions with a real x & y axis and imaginary axis?

[neat lintel]

How do you do it, do you know?

[mint patio]

[mint patio]

write both sides in polar form

[vague lion]

i mean sure

[mint patio]

compare radii & arguments

ggez

[neat lintel]

yep

wthell?

but there are 2 variables, length and orientation

how do you get them both?

if all the terms of the polynomial is present

[mint patio]

yeah, length is radius and orientation is argument (relative to real axis)

[neat lintel]

?

yes

[mint patio]

wym

[neat lintel]

Like if none of the coefficients are 0

above a certain stopping point

[vague lion]

can't think of too many cases where you'd want to map complex to reals, i mean magnitude and projection sure but eh

more often you just want to be doing complex to complex, which is so annoying to visualise

[neat lintel]

Like if I want to have something like x⁵+3x⁴+2x³+x²+9x+9=0

[mint patio]

is this where we get those rainbow plots

[neat lintel]

because it doesnt skip terms

[vague lion]

yes

[mint patio]

I have no clue, I'm just learning this. Sorry

[vague lion]

personally i don't find the rainbows very useful

[mint patio]

LMAO

I haven't learned how to interpret them yet so I have no opinions on it

[vague lion]

they break symmetry

one part of the domain is height, the other is a colour

it's pain

[neat lintel]

who thinks e is an imaginary number?

afaik you can see poles on those plots

[vague lion]

sure but eh

just do both of them as colours, cowards

who cares about practicality

[neat lintel]

fair enough

What are the common phases of "math" "people"?

Anyone have any starterpack memes

[deep mango]

[mint patio]

"math" "people"

when did this server get 8000000 stickers

[sage stag]

Can I ask about logic gates here? No idea where else?

[mint patio]

#proofs-and-logic

assuming it's not a homework question you can do it here too idt anyone minds

[deep mango]

phases of a "math" "person"

compshit high schooler (omg did you get into AIME? omg did you get into AMO? omg terence tao, omg i love numberphile!!!)
sprightly young undergrad (getting excited about higher math, omg proofs are so cool, etc)
dunning kruger upper undergrad (thinks they know everything but constantly says things that are false, gives people advice on grad apps before applying to grad school, has the course prereq map memorized)
jaded early grad student (bored of coursework, thinks undergrads are fucking annoying, hates having to ass kiss a whole new group of faculty)
lost late grad student (no fucking clue what is going on, just wakes up and functions like a robot, progress on work happens over months at an imperceptible rate, entire social life is defined by their academic group, in constant need of therapy from advisor)
reinvigorated early postdoc (suddenly a feeling of authority is upon them, they have succeeded in some research and have their sealegs)
endless cycle of postdoc
industry

[mint patio]

sprightly young undergrad (getting excited about higher math, omg proofs are so cool, etc)

meirl

[neat lintel]

[mortal igloo]

[swift sinew]

Where does the early grad student writing starter packs fit in to that?

[deep mango]

what in the world is that

[mint patio]

don't u know ryc is postdoc already

just working on acquiring the paper that says so !

[deep mango]

i am go to postdocs.

[mint patio]

yeah post docs in people's mailboxes

[neat lintel]

My current phase of being a math person is roasting everyone

[trim stratus]

Are there any notions of calculus on 0-manifolds?

As far as I can tell, a 0-manifold is either connected (a singleton set), or disconnected (a discrete space)

I'm specifically looking for integration here, but I really don't know anything about differential forms

[neat lintel]

me neither

[vague lion]

ok so

i know nothing about topology

but

[neat lintel]

maybe its just a sum

[vague lion]

if it's singleton

it's not interesting

[trim stratus]

Right

[vague lion]

and if it's discrete, you can't get arbitrarily close

so it wouldn't be the same

[trim stratus]

That's what I figured, but also like R is still ordered continuously

[vague lion]

yeah?

R isn't discrete tho

[trim stratus]

Not with the usual topology

but you can just take it with the discrete topology

[vague lion]

oh, sure

uhhhh

[trim stratus]

Hahaha yeah that's what I'm wondering about

[vague lion]

yeah i just don't know enough

ask in the topology channel

[trim stratus]

Sure thing

[neat lintel]

what you need is a measure probably

counting measure makes integrals be sums

[sick burrow]

0-manifold

[neat lintel]

[deep mango]

there is a mirza emote

[vague lion]

not on this server

[neat lintel]

mirza is a known troll

is he/she funny?

[deep mango]

that depends a lot on your standards

[neat lintel]

Is it like a dependant variable?

i miss mirza

I hope I do too

[icy forge]

no way

[sick burrow]

is he/she funny
referring to an enby

[neat lintel]

no

a potential idol

some enbies go by he or she or both

[sick burrow]

no I know

and I think mirza goes by she?

still funny though

[neat lintel]

mirza is comedy

[sick burrow]

wait did mirza leave

[neat lintel]

Oh good

why did she leave?

that was the worst decision on earth

mathematically speaking ofc

[deep mango]

mirza does not appear to have left

she is still pingable

[neat lintel]

Ok

the worst decision on earth has never occured statistically

[sick burrow]

throwback to when metal banned mirza for no reason

[deep mango]

metal?

no

[sick burrow]

not banned

muted

same thing

[neat lintel]

oh

[deep mango]

that was edd

[sick burrow]

oh right

[neat lintel]

but I wish dragon was told the real reason

why he was muted

he was told spam

but it was trolling

[swift sinew]

He do be like that

[neat lintel]

edd seems to be very trusted by the owner of the server

[deep mango]

lol

edd takes the scorched earth approach, but it works

the mods do not have a responsibility to leave users to act like asshats just because they aren't technically breaking one rule or another

[neat lintel]

gödels incompleteness theorem

[honest veldt]

1985

[neat lintel]

LOL

[honest veldt]

happy new year

[neat lintel]

you used one of our favourite words

happy new year 2pi

[honest veldt]

What, I did?

Thanks rapper #2

[neat lintel]

Yes

your welcome rapper #2

[finite quarry]

hello？

[gaunt jacinth]

hey guys

can i ask?

[river linden]

no

#❓how-to-get-help

[swift sinew]

So I'm currently finishing my bacc degree and I'm intending on taking a gap year between undergrad and grad school. I'm thinking about getting a Master's to help determine whether continuing on to a PhD is for me. However, I don't really have a strong application at all.
In cases like this, is it recommended to possibly apply for some sort of Post-Bacc to bolster my application?
Additionally, would reaching out to professors and contacting them directly about working with them on a Master's Thesis (or further) increase my chances of getting into a grad school?

[inner finch]

🧠

sad, i've missed them too

[light needle]

get blu

[deep mango]

icecream

[swift sinew]

That’s good to hear. I’ve eaten enormous amounts of ice cream throughout uni so I’m almost guaranteed to get into grad school 😎

[bronze pelican]

Yes

Thats the key

[neat lintel]

Quote
Erdös said, "You've showed me I'm not an addict. But I didn't get any work done. I'd get up in the morning and stare at a blank piece of paper. I'd have no ideas, just like an ordinary person. You've set mathematics back a month." He promptly resumed taking pills.
Unquote

Is there a more badass mathematician?

[crystal stone]

Maybe one that doesn't advocate for the use of dangerous drugs

[neat lintel]

[jovial ember]

Idk did Erdös ever advocate for anyone else to take amphetamines to get math done?

Lol

I mean there’s the influence by means of being a person who is good at math and respected and does it, etc

But if someone said they can’t get any work done without having alcohol in them no one is arguing they’re advocating for alcoholism or anything so idk

[neat lintel]

veritasium?

[jovial ember]

Hey so

I know we have a largest number we know is prime

But what about largest not prime number

What’s the largest number we know isn’t prime

[leaden torrent]

6

[jovial ember]

What about 8 tho?

8 divisible by 2

[neat lintel]

what about 10?

[jovial ember]

True

[leaden torrent]

can you find a prime other than 2 that you can divide 8 by?

no, you cant

[neat lintel]

or such or something else divisible

[leaden torrent]

idiot

[jovial ember]

That’s not the definition of prime

Idot

[leaden torrent]

google fundamental theorem of arithmetic

[jovial ember]

No

Arithmetic is below me

I’m in prealgebra now

Damnnnnnnnnnn

69.0?

[neat lintel]

cool number i guess..

[jovial ember]

69.1?

What’s after the decimal

[swift sinew]

A question mark

[jovial ember]

69.? Isn’t a number dumbass

Don’t care didn’t ask plus you stole my name

[primal crater]

[dry valley]

how can i get roles?

[jovial ember]

Which role?

[neat lintel]

[neat lintel]

communication is important

[jovial ember]

Those

Eyes

They haunt my nightmares

[neat lintel]

[jovial ember]

Why did you go back to them

You had changed them, you were so beautiful

And now it’s back…

[neat lintel]

your old pfp was much better than this one imo too

[jovial ember]

:(

[neat lintel]

:'c

[jovial ember]

The old one

Or the OLD OLD one

Idk how many ppl know about the old old one tbh

[neat lintel]

lol

[neat lintel]

does anybody here take me seriously?

[neat lintel]

me

thank you

and you seem to be extremely good at traditional math aswell, that is really good

[worldly solar]

@neat lintel Hi, I'm really sorry to ping you out of the blue like this, but I remember that you go to UofT for math, and I hoped you might be able to give me some help with my app - in particular, i'm being asked to rank my preference for the utsg, utm, and utsc campuses (going for math specialist or their equivalents at all). What would you say the order is in terms of how good they are for math?

[crystal stream]

well to make meth you need science

[primal crater]

math is no science

[neat lintel]

ofc it is

[primal crater]

math is a superset of science not a subset

[neat lintel]

pulling out the strike sniper

Who the hell?

[compact tartan]

are you just pinging random people

[neat lintel]

idts

[compact tartan]

yea but you're inconveniencing people

please reconsider

[neat lintel]

[compact tartan]

I know

I get the joke

it's not funny

[neat lintel]

also your messages belong in #chill

wait

this is #serious-discussion

[compact tartan]

actually this is #serious-discussion

[neat lintel]

Mniip?

you are active?

So I guess you do not respond to pinging trolls

[compact tartan]

?

[neat lintel]

Like, when dragon was here, he pinged you like 3 times

and you didnt respond

[compact tartan]

I have no idea what you're talking about

[neat lintel]

How often do you chat/use this server?

btw, how many owners does the server have?

[deep mango]

1

[neat lintel]

LOL

this is like your favourite thing

[deep mango]

Mniip uses the server all the time....

[neat lintel]

The role is in the plural for

m

so I am assuming that there must be more than one

[neat lintel]

he does? ic

[distant vortex]

,whohas Owners

[fathom swallow]

Members in Owners
=================
1.   mniip#9046```

[distant vortex]

Bad assumption

[neat lintel]

wdym?

owners literally means there is more than one owner

notice my suffix on the noun

[distant vortex]

The role is in plural because all the roles are in plural, that doesn't mean multiple people have to have it.

[neat lintel]

but the question is settled

idw to argue

ok

interesting

[distant vortex]

I also don't like arguing when I'm wrong

[neat lintel]

wdym?

I am not wrong, I just asked a question

I am simply underinformed

nobody told me 😢

[deep mango]

I think there have been more owners in the past

[neat lintel]

probably either flimflam and woog or woog and mniip

why were these owners removed?

this is extemely interesting

the politics of the math server

Oh sish

I guess there might have been a revolution

The people with no roles tried kicking the cool ppl out of office

[devout nacelle]

Coup detat

Minus the diacritical marks

[neat lintel]

There was an overthrow, there was a coup

there was a chicken coup

good

[devout nacelle]

Users just gave up voluntarily for personal reasons I would wager

[neat lintel]

ic

to protect all their chickens

in the noodle

apparently

[devout nacelle]

Sure, they didn't choose to maybe

[neat lintel]

well, the prononciation is controversial, so it was obvious it was never going to work

Oh yes

it is crazy

expensive

taking care of the server ain't easy

ik

you need to deal with people like dragon

yes

tomato would have burst open

and all the bees would be leaking

it would be burnt to a crispr

rig

[weary surge]

Hello, where can I ask question about numerical methods?

[neat lintel]

https://youtu.be/duVyBVNX3D8
ngl this a bop

clickbait title

prime numbers don't sound like anything

this is just an arbitrary way to assign numbers to notes in a scale

not that i have anything against doing it. only about the pretentiousness of saying it is "how prime numbers sound like"

it sounds cool tho

now jazz reharmonize it

[neat lintel]

I cant find a longer version : (

you poor poor thing

if i loop it can you drop some bars for me

no but i can make a guitar solo for it

[neat lintel]

Those eyes...

[placid quartz]

Yui reading too much math

[neat lintel]

yes

something about it enrages me

[neat lintel]

you are so cool and cute and precious and amazing everyone loves you

[placid quartz]

[fair mural]

wholesome

[frigid lark]

anyone knows with what software I can create such graphs?

[pale orchid]

latex and tikz

die karotte

or möhre

[surreal sapphire]

very important everyday sentence

[pale orchid]

loch

i just failed my sicherheitsunterweisung

[surreal sapphire]

you can fail those?

[pale orchid]

they make us take an online quiz here, for whatever reason

and it's a mixture of it being hard and being in german

[surreal sapphire]