#serious-discussion

1 messages · Page 173 of 1

old oak
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Better to just get some idea, move on, and come back to refresh it later, with new perspective.

pseudo sluice
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I see what you're saying and I agree because I've just realised I'm in the same trap as those people because I've been juggling multiple things I've spent 1.5 weeks on one chapter of Stewart's precalculus

old oak
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Basically I think what I'm saying is know when to move on to the next chapter of whatever it is you're studying.

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Also I was the same, I think it's the typical experience in a structured course.

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And indeed when you come back to it later, it suddenly turns out to have been much easier than you originally thought

pseudo sluice
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I think I should probably also just manage time more effectively, if I expect to get somewhere then I should definitely make sure to make my Math sessions more dense

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Since if I do want to self study effectively I can't do so at the leisurely pace I'm on at the moment.

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Thanks for mentioning this because it's somewhat of a wake up call 😅

old oak
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But also it depends on why you're self-studying, because if you just want to learn some math for fun, it might not hugely matter where you go with it.

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And how "efficient" you are

pseudo sluice
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It's basically for fun but the long term goal is to supplement myself as a programmer in a way, I know getting all the way up to Real Analysis is probably overkill but again, primarily, it's just for fun.

robust brook
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learning for fun is how i started my self study journey like a year ago

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i kind of ask my self how'd i stay motivated for a whole year

pseudo sluice
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But with the pace that I'm going at it could take me a year to finish Stewart's precalculus which is a bit too slow, but I didnt realise until you mentioned what you said before. Then again, self-learning is a skill I will get better at, so maybe it shouldn't be as much of a worry because I will naturally be more efficient.

pseudo sluice
robust brook
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"its fun" is just so powerful

pseudo sluice
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I think its just become habit now because I do hate it but I enjoy it at the same time

robust brook
#

pacing is an issue i'm facing as well

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it wasn't a problem at all when i first started

pseudo sluice
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Varies, I try to do at least 5 days a week, at the very least 4. Usually 1-2 hours

robust brook
#

do you have a pomodoro (timer) going on?

pseudo sluice
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It's difficult because I do have to balance it with programming as well, because I'm a software developer that loves his personal projects.

robust brook
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i used to do that but imo it wasn't that effective for me

pseudo sluice
robust brook
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yeaa me too

pseudo sluice
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At work, I'd put music on, and then switch off until 5pm, lots of work gets done.

robust brook
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that unfortunately doesn't work when it comes to math

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atleast for me

robust brook
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i surely do want to go back into programming, but math is needed in my case (i want to go into ml)

pseudo sluice
#

I'm not too far ahead in my career, Full-stack dev by day, and then by night I just do whatever I find fun, working on a Gif parser in Rust, with the part 2 that's currently pending implementation is a gpu renderer for it

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recreational programming rocks

pseudo sluice
robust brook
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i see, you're in EU right

reef elm
pseudo sluice
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Yes, UK.

robust brook
#

gif parser sounds fun, especially in rust

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i quit rust when i found out you can't write camelcase 🤣

pseudo sluice
pseudo sluice
robust brook
#

do you guys have national entrance exams in the UK?

pseudo sluice
# reef elm interesting

As well though, even if the routine is the same, the contents of the days aren't necessarily the same. Cliché to say but enjoy the little things

pseudo sluice
robust brook
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yea

reef elm
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Yeah, otherwise life passes you by

pseudo sluice
#

Some do, some don't

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Some higher tiers universities will have entrance exams

pseudo sluice
robust brook
#

are you going for the entrance exam ones?

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its "fun" trying to pass one

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(one of my reasons of motivation 🤣 )

reef elm
#

aging as in time passes by faster or as in you develop wrinkles and pains

pseudo sluice
#

I'm not aiming to go to university at all, I've kind of cheated at life where I've broken into the tech space of jobs without needing to go into debt

pseudo sluice
reef elm
#

fair fair

robust brook
#

reverse aging technology when?

pseudo sluice
#

Its all perception, when you tend to focus on longer term goals, like getting a mortgage, your relative scale of time seems to change

pseudo sluice
#

🤣

robust brook
#

you wouldn't use it?

uneven tinsel
#

Oh ok seems like I will have to wait for a true doglover

pseudo sluice
#

I wouldn't, it just seems like something that's not for me

robust brook
#

it's funnier to be a doglover not owning one

pseudo sluice
uneven tinsel
pseudo sluice
#

@robust brook Whereabouts are you from?

robust brook
#

i'm from georgia

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(not the state)

pseudo sluice
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because I learnt geography in the UK I have no idea where that is unfortunately...

robust brook
#

it's alright people barely know that 🤣

pseudo sluice
#

I can tell you about coastal erosion but that's about it

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🤣

robust brook
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also what chapter are you studying in that precalc book?

pseudo sluice
#

I made plans to get onto it 5 months ago but only just made the commitment to do it, I've finished the first chapter yesterday. However, when I was in education I covered about 70% of the material there when learning Calculus in UK. The education system's structure of learning Math is a lot more different than America's

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It's been really easy so far don't get me wrong, but I'm going to stick with it.

robust brook
#

ironically self studying has been faster and more fun for me

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i always found the school math pacing always so slow (even though i never paid attention lol)

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if you pour 1-2 hours everyday you'll definitely go so far

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(i did not know such thing as "algebra" existed like 2 years ago)

pseudo sluice
pseudo sluice
pseudo sluice
robust brook
#

yea about 5 days a week is good enough

pseudo sluice
#

Out of interest, what's your way of note taking and managing notes

robust brook
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oh man

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my teacher's always saying to "take notes" but i never do that 🤣

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it's a thing i never did in my self study journey

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i always use a online whiteboard to do my math problems, then i transfer them to the paper

pseudo sluice
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Haha I do it in reverse, I note down things which are worth noting as to not copy the whole text book, do the problems, and then later in the week, I archive my notes in a pretty latex format into Obsidian as a way of easily revising my perspective on something I learnt. I feel like it might help with retention. Of course, the best retention comes from doing the actual problems in the book.

robust brook
#

that's actually pretty smart

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latex is very useful as well

pseudo sluice
pseudo sluice
robust brook
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it's definitely a bad thing to get used to, you're doing a better job taking notes 🤣

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when i forget something i have to read thru the entire book and whatnot

pseudo sluice
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Yeah, I think of it as a way of materializing the effort and time I put into learning a concept

robust brook
#

you're actually memorizing more from writing it down and whatnot

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so that's a huge benefit

pseudo sluice
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Well anecdotally I might remember more, but if I actually do or not, we'll see haha. But anyways thanks for the conversation man, I'll probably see you around at some point when I've crunched through more of precalculus 😅

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Thanks for the help btw

robust brook
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alright, see you later, good luck on your precalc journey

pseudo sluice
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@old oak @surreal sapphire Again, thanks for the insight

robust brook
#

i'll add you on discord if you don't mind

pseudo sluice
#

Already sent a request lad!

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Btw, I suck at online, you will probably hear from me in a year or after I've gotten through the book, unless if you message first, so yeah

robust brook
#

it's alright lol, i'll message you later on

digital galleon
#

@errant ridge opencry

uneven tinsel
#

±0 these two numbers are so cool

fresh comet
digital galleon
fresh comet
#

yes, I'm aware of his physics journey too

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lotta things to learn, not enough time ded

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agreed

stone saffron
#

Cool

keen breach
#

do you think eminem would look good with curly hair

sonic sentinel
#

for the people who live in europe: how common are unleashed friendly dogs

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cause i was in this rural area like a week back with my sister and there was a big dog that walked around sometimes and when we walked near its house it got excited and started jumping up and down, licking my hands, etc

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and like yesterday maybe i watch a video of someone basically saying keep your dogs on a leash unless you are very confident you can recall them

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i live in qatar, dog owners are scarce, so i don't know how common is this situation or what the responsible dog practices are

neat lintel
uneven tinsel
#

It is probability question

pulsar finch
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what would be the pre reqs for topology btw?

jagged forge
#

uhhhh

pulsar finch
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is abstract algebra required?

fresh comet
#

according to Arti, almost nothing

fresh comet
#

Artichoke recommends PST as an introduction to proofs, in fact

cold needle
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comfort with proofs is all that is required in e.g. Munkres

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but like

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idk i see people also say that some analysis is nice to see first

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for whatever reason

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im not really sure i agree with this sentiment

jagged forge
#

arti probably considers basic set theory utterly trivial

cold needle
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like i feel like any sentiment along the lines of "oh you might wanna know xyz before learning <insert sort of standard topic>" is sort of tautological

jagged forge
cold needle
#

The more math you know as an undergrad the easier it is to learn these topics

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Yeah convenience is true

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i do agree with that

pulsar finch
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pst = point set topo i guess

jagged forge
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yeah

pulsar finch
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I was thinking of the acronym for like 10 min

jagged forge
#

anyway i had one experience where someone kept confusing the topology (set of open sets) with open sets themselves, and couldn't get this straight when attempting to prove stuff about cts functions and taking preimages etc.

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it was pretty painful

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so i don't agree that there are no prerequisites, you should have your elementary set theory straight before attempting topo

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you should know facts like "x in A u B iff x in A or x in B" by heart, stuff like that

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and de morgan's law

pulsar finch
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no ZFC?

jagged forge
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uhh

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as far as i know most people do not need to learn zfc except for people working in foundations stuff

storm sage
jagged forge
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including some category theory folks

storm sage
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I was very shocked when talking to math majors from other schools when I had to explain what ZFC is

cold needle
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that is insane

jagged forge
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yeah, i agree with that. i know like.......

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idk 5 of the axioms opencry

storm sage
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Because I said I liked logic, and they asked me what it was, and I was like oh you know, there's a couple different subfields like set theory, proof theory, model theory, etc., and I thought set theory would be the most accessible to explain

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So I was like "oh you know the continuum hypothesis, about there being a set of size between the integers and reals?"

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And I got the blankest look

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So I was like, huh, I guess I can't make assumptions about math majors

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And then I mentioned ZFC and they were like, I've never heard of that in my life, Z what?

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Bit of a culture shock, it was the very first thing our math classes started with when I took linear algebra haha

storm sage
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Just to see like oh yeah, you can really get any sort of structure you want just by using sets

jagged forge
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true, everyone should experience the joy of reinventing math from the ground up TE_GIGACHAD

storm sage
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Then again, lambda calculus is bread and butter to me, but no math or CS major I talk to knows about it, I swear KEK

jagged forge
#

like constructing N from the empty set

storm sage
#

It's weird thinking about what's trivial to you and not to the other person, and vice versa

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I feel like every working mathematician should practice explaining things to little children

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I've heard some mathematicians talk that... oh god...

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Maybe they were just ready to retire and didn't care anymore

cold needle
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i was told that i should "try to get nsf grfp or to find an advisor with money" as soon as possible, and i feel like this kind of mentality sucks

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the reasoning is that i need to be working more on my thesis

storm sage
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what's grfp?

cold needle
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grfp is a grant for grad students basically

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essentially i just need to replace my TA stipend with one of these

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or advisor funding

storm sage
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wait you're a grad student lol

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I thought you just graduated

cold needle
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the reasoning is that it buys me more time to work on my thesis => thesis is better => job prospects are better

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i just graduated indeed

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i start grad school in august ish

storm sage
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ohh I see

cold needle
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but i talked to some people before hand

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the thing is like

cold needle
#

i dont really like that this is the new rat race

storm sage
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TAing is a nice experience

cold needle
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Because teaching is so important

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i love teaching

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thats all i ever wanted

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and i also fully believe in my research abilities but idk

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It just sucks to see grad students be told something like this

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Though presently it does seem like the majority of grad students do have to do some teaching experience anyways

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whether for stipend or by requirement to graduate or something

storm sage
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Same vibe as "you're too smart to be a teacher"

cold needle
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Right

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i feel kind of irreparably damaged though

hot mauve
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Can someone explain to me how B=2XB, X is 1/2 not 2 ?

cold needle
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like in the next two or three years if i dont manage to pull through and escape being a TA there will be this mild sinking feeling

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I hope i can avoid that feeling

storm sage
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what you'd personally feel successful about looking back on your life

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and write it down somewhere

cold needle
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yeah

storm sage
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right now the answer to that question is I have no idea

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maybe I should make a list of things to do before I'm 30

cold needle
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The one light i have so far is that my thesis advisor told me something very important when i was in the dumps about the grad school process

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He told me that these struggles that i was going through and will face are just sort of details in the big picture

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and that in the long run things will work out

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i need to remember this more often

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(at the time i had heard back from 8/14 grad schools in the negative, and it was late february of this year lol)

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Kind of the scariest time of my life lol

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it was so funny because i was so confident i wouldnt get comically depressed about grad school

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and then it happened anyways

storm sage
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Honestly

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I feel like if I don't get accepted into any grad school, I won't even be that mad, I'll be happy to get a job doing something fulfilling

cold needle
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that's good

storm sage
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Well okay I'd be mad about the like $1k in application fees devastation

cold needle
#

yeahhhhhh

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that is

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Yeah

storm sage
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I was talking to a middle school teacher I had the other day who told me she did a postdoc and convinced the uni to let her take teaching classes for free to improve her scientific communication, then after the postdoc she dipped out of academia and interviewed for teaching jobs

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Because she didn't want to like start her own lab, and she didn't think she was the right kind of person suited for that, plus she always liked teaching

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Icon tbh

cold needle
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damn

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that's real guts i think

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To know what you want and like push to follow through with it

storm sage
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I asked her if she had any regrets about spending all that time in academia, and she says she loved it and she thought doing her own research made her a better teacher anyhow

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anyways, recently I've come to the conclusion there's only two kinds of math

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math that I know and math that I like

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they form a partition of all math

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(half joking)

uneven tinsel
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There is ±0% error in these statements

rocky shuttle
stone saffron
#

Lol

alpine kindle
#

axioms of union and pairing respectively

bright hill
#

metals advisor:

keen breach
#

if you are in a park or on the beach, it's higher

fresh comet
#

higher…

stone saffron
#

Higher....

sonic sentinel
#

kid named higher

neat lintel
#

Hire her? Who’s her?

sonic sentinel
#

higher? i barely know her

uneven tinsel
#

Let A={0,-0}

abstract cypress
#

Hello guys

alpine kindle
abstract cypress
alpine kindle
#

!noadvert

quasi jettyBOT
#

Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.

abstract cypress
#

This conversation is dead lol

verbal karma
sonic sentinel
odd narwhal
#

Because I've mostly hard this kind of thing from non math people

odd narwhal
alpine kindle
#

I've never seen one

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someone has probably done it at some point

verbal karma
#

Find advisor with money is usually the suggestion. But I heard more on the line of you should not pay for your studies rather than to only find professor with money

cold needle
#

and also non math grads

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Mostly non math people though

odd narwhal
#

People who have that opinion just hate teaching

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Or they can't multitask

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Fr

verbal karma
#

In the US, it is more on the line of if they don't have funding for you, they just reject you. At least that is from my experience

neat lintel
#

hi, aside from the abstraction of going to university and studying , or getting a phd
how is to become a mathematician ? (like in concrete terms)

uneven tinsel
#

It's very bad, happiness becomes imaginary and you become irrational

neat lintel
#

seems like a pretty "complex" emotion

uneven tinsel
#

No joke it's Real

neat lintel
#

but it is continuous?

uneven tinsel
#

Yes it is continuous without any limit

verbal karma
uneven tinsel
#

But you will never reach infinity

wraith shuttle
#

if anyone can help me out, send me pm thanks

static loom
wraith shuttle
#

@static loom send me a pm please. thanks

static loom
#

nope

ocean harbor
#

@hasty peak send me a pm please. thanks

#

m_ban

warm plaza
ocean harbor
#

hai

ocean harbor
hasty peak
#

join obsidian

ocean harbor
#

ok

#

you gotta beat my ass

warm plaza
hasty peak
#

i lost 2-3 last time right

warm plaza
ocean harbor
warm plaza
ocean harbor
#

no

#

bobble

hasty peak
#

glhf

warm plaza
#

Bleh.

ocean harbor
#

what does this mean

warm plaza
#

Lol.

ocean harbor
#

not this

warm plaza
hasty peak
#

good luck have fun

warm plaza
#

Exactly.

ocean harbor
#

oh

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I missed it lol

hasty peak
#

LMAOOO

ocean harbor
#

wtf

hasty peak
#

nice use

ocean harbor
#

NOOO

hasty peak
ocean harbor
#

wait

#

wrong chat

#

lmao

hasty peak
#

chat in the vc chat💀

ocean harbor
#

💀

#

bro fuck this game

hasty peak
#

noooo i was typing

ocean harbor
#

lmao

#

WHAT

#

lmao you missed it

hasty peak
#

ez

ocean harbor
#

lmfao the ending

hasty peak
#

what was that💀

#

gg

ocean harbor
#

gg very good player

#

but not at chess sotrue

hasty peak
hasty peak
#

whos that

ocean harbor
#

a keyboard

hasty peak
#

💀

#

oh

ocean harbor
#

for phone users

hasty peak
#

lol

ocean harbor
#

lol

hasty peak
ocean harbor
#

I mean it could be anything

hasty peak
#

i dont have gboard

ocean harbor
#

you need to install it

hasty peak
#

nuh uh

ocean harbor
#

i added latex symbols on gboard as well

hasty peak
#

oh

ocean harbor
#

its good :3

hasty peak
#

meh

ocean harbor
hasty peak
ocean harbor
hasty peak
#

skull

#

it looks ai generated

ocean harbor
#

nah

jade bane
#

a

cerulean harbor
#

how do i close a post and mark it as solved in the help forum??

wild lantern
#

Just type .close

gusty socket
#

this is a huge problem for me on linux lol

#

i need an answer to this too :P

static loom
#

is it a tablet or like a laptop with touch screen

#

idk if this counts then, but android is linux and I'd imagine you can find something on there

neat lintel
#

Is the cursor the only thing that bothers you in the app?

#

.

#

You could try creating an issue in their github

hot mauve
#

Can someone explain to me how vector AB=B-A

static loom
#

I'd say draw a picture and calculate it to compare

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like pick some specific example, like A=(0,1) and B=(1,0) if that's not too boring

spark lily
#

dm

#

me for collatz conjecture

gusty socket
#

<@&268886789983436800> this kinda freaks me out seeing this in discussion

#

i wasn’t sure whether i should

velvet dagger
wild lantern
#

The collatz thing?

velvet dagger
#

So knock it off

gusty socket
wild lantern
#

Oh I see.

gusty socket
#

i wouldn’t have done it if it were just “i solved collatz”

wild lantern
#

Weird soliciting ppl to hop in dms is sketchy

jagged pendant
#

crazy

#

how did u do it ?

#

me need that roingus

uneven tinsel
#

∫ ∂∅∩τ κ∩∅ω

jagged pendant
#

nuh uh

full vapor
uneven tinsel
#

Wow first Terrence tao and now Einstein, legends are joining

verbal karma
#

what about the cat? is cat one of the legends?

west niche
# hot mauve Can someone explain to me how vector AB=B-A

The vector B brings you from the origin to B. so -B gets you from point B back to the origin. Going from B to A is the same as going from B to the origin, and from the Origin to A, or -B +A. Going from A to B is the same as doing -A + B
So, BA = a-b, AB = b-a

uneven tinsel
knotty vine
#

Does anyone have any experience with the Casio Classpad II?

#

I currently have a Casio FX CG 50, but I am looking into a CAS model

#

particularly to solve linear systems of equations with symbolic/variable coefficients

spark lily
#

bro so i got something about conlaltzo conejutre

old oak
#

Finally!

wispy kiln
#

I wanted to ask the opinion of some people about what I should do.
I am going into 9th grade in September. Because I am entering high school, that opens up multiple science olympiads that I can take part in (USABO, USNCO, USAPhO, F=ma, etc). I wanted to ask about which olympiad I should start with this year.
For more context about me, I got a 5 on AIME in 7th grade, made MATHCOUNTS NJ states in both 7th and 8th grade, and have won a couple of local math competitions. I also take part in USACO, where I am silver right now, and have won a couple of local coding competitions. I am decent at science, me and a few of my friends won a local science bowl tournament this year. I know all of the math necessary to do physics (up to calculus and matrices).
I have the textbooks to study the respective science subjects as well (Campbell Biology, Zumdahl & Zumdahl for chemistry, and University Physics (Young and Freedman)).
Feel free to ask for more information about me, and let me know what you guys think!

latent edge
#

Are they required anyway for getting into something you want?

wispy kiln
wispy kiln
deep mango
#

There might be logistical factors around which of these you can do when

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And which youd be most likely to do well in earlier vs later years

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Though idk any of these, in a math server youll be less likely to find people who did these

latent edge
#

yep exactly

cinder zephyr
#

Anyone use one of those habit tracking apps? Any recs? I'd like an app that reminds me to do shit rather than relying on my feeble brain.

storm sage
cinder zephyr
#

I don't wanna stuck stuff on my walls or anything + I move between two households alot right now

wispy kiln
cinder zephyr
#

I already have a todo list

#

This is more I want something that tracks for me how many days in a row I've done something

#

And having it in an app is a nicer user experience in theory than plaintext

jovial ember
#

Hi akira

fierce oracle
#

does anyone now what software used by maths tutor

uneven tinsel
#

My teacher use zoom

fierce oracle
#

like you know any white boards

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which convert our handwriting to text

#

??

uneven tinsel
#

No

#

There maybe some tools

#

Which recognize images

ocean harbor
#

you can also look at username

jovial ember
#

Yeah I did

#

To find out who u r

ocean harbor
stone saffron
uneven tinsel
#

#nocats

stone saffron
uneven tinsel
stone saffron
mental stratus
#

pew pew pew

neat lintel
#

How do people avoid becoming complacent and mediocre?

bronze pelican
#

By being proactive and extraordinary.

jagged forge
#

so true

static loom
#

I guess it depends on what you want

bleak wigeon
#

reject the premise of mediocrity and live your life the way you see fit :)

gusty socket
neat lintel
uneven tinsel
#

People use 80-20 rule, 20% hard work 80% rest

neat lintel
uneven tinsel
#

Sleep is very important

#

to function

#

And functions are important in maths

#

So sleep is important for maths

neat lintel
#

Yeah, i was being ironic. Your proposition seem absurd, so i think irony is a good choice here

uneven tinsel
shadow flax
#

I should really sleep more so I can become good at math

uneven tinsel
#

Yes you smart

gusty socket
#

it is extremely reasonable

#

40 hours a week is about 23% of the time in a week

neat lintel
#

Because it seems to assume people should practice a difference balance of work and rest, which i believe to be absurd.

neat lintel
uneven tinsel
#

It's okay friend 😊

spark lily
#

if ur love's gone away just like mine, you feel like cryinggg

#

sing along maybe once maybe twice, lets try here togetherrrr

#

some sweet day no one knows he'll return, and you'll be happyyyyy

#

shout it sweet in a song listen to your heart it is singinnnn

hot mauve
#

Guys do you think you can become the best mathematician in the world by studying the subject in and out or is it mostly genetics

jagged forge
#

there are a lot of factors out of your control that don't just boil down to "genetics"

latent edge
#

Yeah being a genius itself won't get you anywhere

static loom
#

I don't even think it's possible for a person to become the best mathematician in the world at this point

#

too much math

spark lily
latent edge
#

Delusional

hollow frost
#

chatGPT is the best mathmetician because it knows every theorem and through it's many wierd math mistakes has created many which dont exist

spark lily
#

the only real delusional ones are those who don't accept chatGPT's solution as a real answer

jagged forge
#

i can invent nonexistent false theorems too

#

dont need gpt for that

spark lily
#

its existence but we are too poor in mind to understand it

hollow frost
#

but GPT is much more efficient

jagged forge
#

your brain uses like 5 W of power

#

an nvidia gpu uses like

#

300 W

hollow frost
#

power effieciency is nothing when it comes to chatGPT's gross incorrect theorem output

latent edge
spark lily
static loom
#

whack

bleak wigeon
#

I've never heard of someone referring to chatGPT as "my guy"

#

soon chatGPT will be "Bestie"

neat lintel
static loom
verbal quest
#

I look forward to the first report of a murder suicide because irl friends were dating the same AI

hot mauve
spark lily
patent root
#

i need help with my math assignment'

#

its like

#

univariate data investigation

uneven tinsel
#

Sure

patent root
#

mine is just concept thing

uneven tinsel
#

Idk friend just ask

spark lily
patent root
#

thanks ive created a help thing @spark lily

#

with the question

limpid abyss
uneven tinsel
#

Yes if you are talking about "the best in the world" then there are genetic factors, your surroundings and other things also matter

neat lintel
#

How can one even measure that

limpid abyss
limpid abyss
gritty crater
limpid abyss
uneven tinsel
#

Intelligence here as in competence how good you are in your field as compared to others

#

Globally

neat lintel
limpid abyss
#

LMAO

#

ya I know

#

but thats what they say

#

that you may not be able to achive a higher one

#

and your max cna be determined on genetics

#

obsiviously not all intellgence is just genetics but I think there can be a signifciant advantage from genetinics

gusty socket
#

can u not

#

please

neat lintel
gusty socket
#

hi outsider

#

glad you're here

gritty crater
old oak
gusty socket
#

i love jacob collier

gritty crater
#

We have a lot of genius today. It is just that modern science research is often being done as a collaboration of many people not just one.

uneven tinsel
#

💵💵💵 is the real genius

old oak
gusty socket
#

but I hope you're doing well.

old oak
#

Mostly fine; thanks and likewise!

ember needle
#

How to Calculate Pi by Throwing Frozen Hot Dogs

#

WikiHow

chilly hull
ember needle
#

i need 100 frozen hotdogs

spark lily
#

then i ask u

ember needle
#

my pronouns are

spark lily
#

bro

gusty socket
surreal jacinth
#

is math a euphemism for meth?

#

and is coffee a euphemism for stimulants/drugs?

uneven tinsel
#

Math is Make All Teachers Happy but they didn't include anything about students

surreal jacinth
#

Meth Amphetamine Taken Habitually

#

Methamphetamine Always Transforms Health

#

Meth Amphe Tamine Heals

#

Meth Amphe Tamine is Healthy

#

Methamphetamine All day every day Thats right Hooray

#

Methamphetamine Always makes Trying times Happier

jagged forge
#

i think u have a problem

surreal jacinth
#

yes i am out of meth

#

wont be long now

#

My Amphetamines are in the mail and should arrive The day after tomorrow Hell yes

#

racetams are keeping me alive atp

tawdry pecan
pulsar finch
#

how would you show that (1+1/n)^n is e

eternal crow
#

,, (1+\frac{1}{n})^{n} = e

#

,, \bigl(1+\frac{1}{n}\bigr)^{n} = e

#

,, \biggl(1+\frac{1}{n}\biggr)^{n} = e

fathom swallowBOT
#

רי-ית

pulsar finch
#

why did your latex not show

eternal crow
pulsar finch
#

only last line

eternal crow
#

I deleted the first two

pulsar finch
#

let me fix it

eternal crow
#

Because parentheses too small

eternal crow
pulsar finch
ocean harbor
#

limit?

pulsar finch
#

mb

eternal crow
#

Oh i see

fathom swallowBOT
#

938c2cc0dcc05f2b68c4287040cfcf71

pulsar finch
ocean harbor
#

hai

#

i got by akira or ken

old oak
high pier
#

Is set theory just SQL?

raven plaza
#

Simply take n = 100

gritty crater
pulsar finch
clear fox
pulsar finch
fathom swallowBOT
#

Closer

pulsar finch
#

sure

gritty crater
pulsar finch
#

okay

#

,align &= \lim_{n \to \infty} e^{ln((1+\frac{1}{n})^n)} \&= \lim_{n \to \infty} e^{nln((1+\frac{1}{n}))} \&= \lim_{n \to \infty} e^n \cdot \left(1 + \frac{1}{n}\right)

fathom swallowBOT
#

938c2cc0dcc05f2b68c4287040cfcf71

eternal crow
#

,, \lim_{n \to \infty} \sum_{i=0}^n \binom{n}{i} \left(\frac{1}{n}\right)^i

fathom swallowBOT
#

רי-ית

pulsar finch
#

binomial coeffi?

eternal crow
#

Lol

gritty crater
eternal crow
#

Not sure

fathom swallowBOT
#

Closer

ocean harbor
#

latex fail

pulsar finch
#

but I still have the n inside the limit

#

You can simply it to this: $\\\lim_{n \to \infty} e^{n \cdot \ln(1+\frac{1}{n})} = e^{\lim_{n \to \infty} n \cdot \ln(1+\frac{1}{n})}$

gritty crater
fathom swallowBOT
#

938c2cc0dcc05f2b68c4287040cfcf71

gritty crater
pulsar finch
#

wait what

gritty crater
#

It is an indeterminate form of 0/0

fathom swallowBOT
#

Closer

gritty crater
#

Damn my latex is being sh*t

pulsar finch
#

problem is

#

you are dividing by 1/n like free or what

#

ohh

#

its the n

#

mb

gritty crater
pulsar finch
#

now you do lhopi

#

?

gritty crater
pulsar finch
#

,w differentiate 1/x

fathom swallowBOT
pulsar finch
#

,w differentiate 1 + 1/x

fathom swallowBOT
gritty crater
#

If everything works out, the limit should be 1

pulsar finch
#

,w e^(((-x^(-2))/(-x^(-2))))

fathom swallowBOT
pulsar finch
#

okay

#

so its proven for all real numbers i assume

gritty crater
pulsar finch
#

sure

haughty beacon
#

(1+1/n)^n as n > infinity = e

vernal token
drowsy silo
#

My major is not related to math and I like math and I had some research on pre calculus my last subject was taylor series and I don't know what should learn after it I will be thankful you guys answer me

old oak
#

You should learn not to ask the same question in six channels

old oak
#

There's a discussion here

#

Lets you argue that the difference between (1+1/n)^n and e is of the order of 1/n, asymptotically

#

Which would make the series divergent

vernal token
old oak
#

Or just straight limit comparison test with 1/n

pulsar finch
#

if comparison test with harmonic series, 1/n diverges due to p-test with p = 1, right?

old oak
#

Well, it doesn't diverge due to the p-test, but if you know the p-test, then that's how you can conclude the divergence.

pulsar finch
# drowsy silo My major is not related to math and I like math and I had some research on pre c...

horizontal vertical and oblique asymptotes, inflection points, absolute maxima and minima, concavity convexity, taylor polynomials, maclaurin polynomials, p-series test, integral test for series, ratio test, root test, fundamental theorem of calculus part1, fundamental theorem of calculus part2, integrals, integration by p, integration by u-sub, partial fraction decomposition, overall convergence and divergence of sequences and series, for sequences there is a d'alemberts criterion that is similar to ratio test, theres is also cauchy criterion for sequences, you can learn about solids of revolution, volumes, areas with integrals, there is so many stuff to learn

gritty crater
#

You really list all of that?

pulsar finch
#

I don't know what should learn after it I will be thankful you guys answer me

#

I was just trying to help a bit

#

there is a upper bound of error you can also calculate for the taylor polynomial

#

intermediate value theorem, mean value theorem, rolles theorem, cauchy mean value theorem, bolzano-weierstrass theorem, taylors theorem, fermats theorem of finding minima maxima

old oak
#

Sure, but what are you going to do on the second day?

drowsy silo
#

@pulsar finch thanks

cinder zephyr
ionic star
#

it's a meme

#

what's the second lecture then

limpid abyss
limpid abyss
#

oh right my bad I misinterepreted the quesiton

charred shell
#

hi

wintry niche
abstract cypress
#

Guys was learning about complex numbers what I found out is that they add additional dimension to our real number line. My question is the vectors in 2D they also do the same rotation and other stuff can anyone explain this. Yeah i heard about e^thetai thing and using sin cos but a 2 or 3D vector is also doing the same.

vast surge
#

Specifically, consider the map $\varphi:\mathbb{C}\to\mathbb{R}^{2}$ given by $$\varphi(x+iy)=\begin{bmatrix}x\y\end{bmatrix}.$$

fathom swallowBOT
#

Fruitbini's Theorem

vast surge
#

You can show that this is linear, injective and surjective, and thus an isomorphism of vector spaces.

#

Alternatively, you can show that ${1,i}$ is a basis for $\mathbb{C}$ over $\mathbb{R}$ directly.

fathom swallowBOT
#

Fruitbini's Theorem

vast surge
#

Wait I misread your question. You want to look at the matrix $\begin{bmatrix}\cos\theta&-\sin\theta\\sin\theta&\cos\theta\end{bmatrix}$.

fathom swallowBOT
#

Fruitbini's Theorem

abstract cypress
#

@vast surge yes you kinda answered my question but the thing I cant understand is Iam adding a new imiginary dimension when introducing complex numbers. Using this dimension I can rotate and do other stuff right

#

@vast surge why cant I use a vector 2D it can also rotate and do similar things

vast surge
#

The vector space structure isn't what's interesting about C; it's the multiplication structure that sets it apart from R^2.

vast surge
warm hare
warm hare
#

can jacobian matrices have any use in rotation

#

i distinctly remember some theory about that

river moon
#

when considering frenet bases in differential geometry I think there's one point where jacobian matrix comes up in the taylor expansion of something, it represents by how much the basis would rotate if you were to travel for some time

vast wraith
#

this map pretty cool

#

well, some things on here are downright depressing, but very much important elements in the history of science and its many intersecting fields, such as politics

#

also rather frustrating that in many places they mention some idea or technology at some specific time in history but without any reference

#

Calculating Empires takes Donna Haraway's provocation literally that we need to map the “informatics of domination.” The technologies of today are the latest manifestations of a long line of entangled systems of knowledge and control. This is the purpose of our visual genealogy: to show the complex interplay of systems of power, information, and circumstance across terrain and time, in order to imagine how things could be otherwise.

#

We suggest taking your time and reading slowly - a radical act in an era of speed and simplification

#

😭

thick zealot
#

Hi guys does anyone know where I can follow a youtube course on group theory ?

mint canopy
#

I would suggest reading a book instead, maybe Fraleigh for example

vast wraith
#

or both

#

borchards has a series of lectures introducing group theory

neat lintel
#

I dont know if this sould go in some help channel , but how you really measure mathematicians performance?
I mean, there are tests , but there is something else?
(and also which are the most important tests?)
how you measure for example, is someone knows enough algebraic geometry?
(I am not talking about research papers and so on , since it could be papers with almost no impact or something like that, and finally time is what tell us if something was important or not)

river moon
#

you talk about it

neat lintel
#

yeah, i think, the real question if there is a objective measure

river moon
#

I don't think you need one to answer whether someone knows enough of <math topic>

gusty socket
#

but i don’t think it’s so useful or easy to do that, and i don’t think citations are the right metric

#

i just wanted to throw something out

neat lintel
#

what about quals exams , are them a good measure?

#

(for general math problem solivng skill and knowledge, not research skill)

#

also
which is harder IMO vs quals phd math? (in problem solving level skill)

uneven tinsel
#

I don't think there is any standard test for mathematicians the real test is whether you can help in development of maths but my knowledge has a limit and my domain is restricted so I could be wrong

neat lintel
#

yeah , I am just talking about formalities like tests , etc.
if someone is good or bad , that's opinion

latent edge
uneven tinsel
#

Math is very sad subject

neat lintel
uneven tinsel
#

No

#

To add or not to add that is the summation

old oak
fresh comet
#

how do you know that your research wasn't good?

old oak
#

I wrote it

#

I even read it as well

latent edge
vast wraith
neat lintel
#

Hey everyone

#

How's it going?

ocean harbor
#

bad sad

fresh comet
uneven tinsel
#

Very bad, going in negative direction with exponential increase in speed

fervent oyster
#

(i don't know that, just a joke)

#

but do you guys need anything?

uneven tinsel
#

Yes money and time

fervent oyster
ocean harbor
ocean harbor
coral terrace
#

also nice shaders usage

ocean harbor
#

thank

coral terrace
#

silly billy

#

that is not your level

#

:p

ocean harbor
#

whats your hardest

coral terrace
ocean harbor
#

noob

coral terrace
#

hardest gd achievement tho is gettinf creator points

#

i have done that aswell

ocean harbor
#

username?

coral terrace
#

fishyfox84

ocean harbor
#

personally I hate people flexing their cp only with one level

#

so what? I don't care

coral terrace
#

its insanely hard to do

#

not even making the level

#

that took me 2 weeks tops

#

getting it rated was the hard part

ocean harbor
coral terrace
ocean harbor
#

you got banned on lb lol

coral terrace
#

uh

ocean harbor
#

lmfao this is funny

coral terrace
#

i dont know why that happened

#

i have my record on the demonslist

ocean harbor
#

did you use megahack?

coral terrace
#

weeklies*

#

but i do that for daylies aswell

ocean harbor
#

lmfao

coral terrace
#

not like ill ever stargrind pft

ocean harbor
#

I can understand why you're banned on lb

#

I believe you cheated and then they reported you to get banned on lb

coral terrace
#

theyre pretty tight about that

ocean harbor
#

but i haven't yet because i got skills more than you

coral terrace
#

they think you should rebeat demons and shit

ocean harbor
#

go check mine

coral terrace
#

whats your ign

ocean harbor
#

kensukeken

ocean harbor
#

like most of them are buggy as fuck

coral terrace
#

@ocean harbor why have i played ur level

#

s

#

it shows i have progress on them

#

specifically ultra paracosm copy

ocean harbor
#

ah this

#

it was just a practice level

#

when beating this demon

#

I got a video for this and i tried to publish it ig

coral terrace
#

no but like

#

weve never interracted before

ocean harbor
#

wtf

coral terrace
#

so that means i found your level either in the recent tab

#

or like

#

something else

#

you havent commented on any of my levels

ocean harbor
#

let me check rq

coral terrace
#

did you use the official gd discord server?

#

im insanely confused right now

ocean harbor
ocean harbor
#

just a copy

coral terrace
#

no but

#

i played your copy specifically

#

ive beaten ultra paracosm

#

ill check

ocean harbor
#

it doesn't show you're here lol

coral terrace
#

its weird since you uploaded the level 3 months ago but i remember playing it like 3 weeks ago max

#

odd

ocean harbor
#

hmm

#

ill try refreshing

coral terrace
#

so it probably wont show there

ocean harbor
#

LOL

#

it makes sense

coral terrace
#

ill just forget about this and assume it never happened because the odds of this naturally happening are genuinely in the millions

#

we must have met somewhere else by accident or something

ocean harbor
#

its your fault for cheating on gd

#

but normally none of my friends on gd are cheaters

#

they're all on lb

coral terrace
#

i mean

#

"cheating"

coral terrace
#

i beat killbot like i said, crowd control and marathon

ocean harbor
#

show me a video

coral terrace
#

those are my only extremes

ocean harbor
#

without hacking

coral terrace
#

thankfully i have one for cc

#

and ill use my record on the demon list as proof because the actual video is super mega cringey

#

i was 13

ocean harbor
#

how old are you now lol

#

I mean ive been playing this game for 10 years and I cannot beat any extreme demons yet

#

some people get 200 demons within one year

#

this is crazy you know

coral terrace
ocean harbor
#

reddit user ded

coral terrace
#

and uhm

fervent oyster
#

i feel like I need to start skibidi sleepmaxxing fr

coral terrace
#

its on the official pointercrate page

#

if u wanna check

#

i do have the video

#

if you really care

coral terrace
ocean harbor
#

I know this is a part of megahack thingy

coral terrace
#

clicks per second

ocean harbor
#

there we go

coral terrace
#

the number on the right is the total amount of clicks

ocean harbor
#

lets go to chill sure

#

no image perms moment

coral terrace
#

gg

uneven tinsel
#

Thank god I am 13 years and 1 minute old

coral terrace
#

btw

#

i just remembered i forgot to reply to this

ocean harbor
#

still can't beat any extreme demons lol

coral terrace
ocean harbor
#

nice

coral terrace
#

start of pandemic pretty much

coral terrace
#

if you can beat an insane demon then you can beat an extreme

#

an easy extreme that is

#

im not saying you should be beating acheron or something

#

acu is a good place to start

ocean harbor
#

it says invalid

coral terrace
#

thats why my reddit account is gone

#

same for youtube

#

i still have the video tho

sonic sentinel
#

i feel like the only days i have that are really meaningful are those where i do something im normally averse to or where i go out with friends for most of it. does anyone else feel like they have a limited class of "days that are meaningful"?

ocean harbor
#

I just checked the level

coral terrace
#

wait how

ocean harbor
#

this lol

coral terrace
#

oh

#

wait

#

so how did we even meet

ocean harbor
#

personally I don't talk with people flexing their cp only for one

#

because they're toxic

coral terrace
#

if you ran a marathon and were talking about running to someone youd probably mention it

#

i wasnt trying to flex a singular creator point

#

im an advocate of abolishing cp entirely but thats a debate for another day

ocean harbor
coral terrace
ocean harbor
#

I showed you lol

#

before I sent it

#

its gone

#

here lol ^^

#

we have meet before

coral terrace
#

OH

#

sowwy

ocean harbor
#

lmao

coral terrace
#

i said that as a joke..

ocean harbor
#

its ok i forgive you

coral terrace
#

i do talk to people who dont have cp

ocean harbor
#

thats good

#

afer you got banned on lb opencry

#

right?

coral terrace
#

ohh okay yeah i remember

ocean harbor
#

I see

ocean harbor
coral terrace
#

stuff happens

ocean harbor
coral terrace
#

0 stars!

ocean harbor
#

I have seen this a lot

#

try mine lol

coral terrace
#

it shows your lb position

ocean harbor
#

gg

#

it means im not banned

coral terrace
#

congrats

#

you can freely stargrind now

#

@ocean harbor have you created anything

ocean harbor
#

I have but i keep getting busy

#

then when im done I see my level is gone sadcat

solar hawk
coral terrace
solar hawk
#

@ocean harbor

ocean harbor
#

hi amukh

#

lmfao this gif

solar hawk
#

lol

ocean harbor
#

sometimes when I load

#

things disappear

coral terrace
#

thats how loading works

ocean harbor
#

this is the newest rn

#

cat

coral terrace
#

it puts you back to your latest save

coral terrace
ocean harbor
coral terrace
ocean harbor
#

lets say when i have to upload and then I do that

#

without knowing that my level has removed

ocean harbor
#

noclip again?

#

you didn't die

coral terrace
#

im a hacker

#

muhahah

#

its for showcasing purposes

#

you see

#

i dont wanna learn my levels just to be able to play them without noclip

ocean harbor
#

fucking hacker

coral terrace
ocean harbor
#

I wanted to join with you

coral terrace
#

join what

ocean harbor
#

so we can create levels together

coral terrace
#

you mean collab

ocean harbor
coral terrace
#

oh

ocean harbor
#

I don't join with hackers

coral terrace
#

okay

ocean harbor
#

go away

coral terrace
#

😔

#

i guess my actions have consequences..

ocean harbor
coral terrace
#

for i have been a careless hacker

ocean harbor
#

how about creating a new account and don't hack next time

#

lets create a level together

#

:3

coral terrace
#

does this mean robtop is god

coral terrace
#

im guessing you mean a layout

ocean harbor
#

nah everything lol

coral terrace
#

a whole ass level?

ocean harbor
#

yep!

coral terrace
#

why dont we try making a layout first

#

😭

#

i dont even know how to merge stuff

#

i guess itll be good practice

ocean harbor
#

im gonna start with like easy or nomral level

coral terrace
#

boring

#

ZZZ

#

lets make an extreme

ocean harbor
#

nah