#serious-discussion
1 messages · Page 75 of 1
i don't think being an accountant is easier because you have to eat....
I think what Watson was trying to get at was that mathematicians have less job opportunities as compared to other fields
you can expect get paid a decent amount of money if you have above average skills and training in math even if you really fuck up
i don't think that's true at all
many people become software engineers/cryptographers/data analysts/weird ai people/quants etc. because they wash out of math, it's a very easy path to take
those are all nice middle-upper middle class jobs in most countries
yes well that's the way life is
if you want to play basketball you have to work hard to not have to split your time between basketball and your job
it's the same with anything else that's fun/any creative pursuit
at least you're not telling people passionate with bball to get in NBA
That I can respect
Yeah but I would encourage them to practice and play basketball
just like I would encourage someone who's excited about math to read about math and maybe even dabble in reading some current research
What's true about math vs other areas is that if you're not in academia, most other options are something of a pivot. You're not quite using the theorems you learned in your classes and you may need to pick up skills that are math adjacent but not directly math
But when you make that adjustment, your math background will give you mileage
I agree, if you try to become an NBA/College Basketball star you have very few marketable skills if you fail
whereas if you fail in being a math academic I think your life is quite cushy afterwards, you'll almost certainly never go hungry/want for money in the current climate
Sports coach? generic personality/influencer? It's not that doom
High paid sports coaches are rare but generic sport coaches aren't
succeeding in those fields is a lot higher variance than being a quant/software engineer/etc. and the pay is not very comfortable on the middle-low end of being a sports coach
People gotta eat, so they do what they do
there are certainly options, my point wasn't that basketball is bad (idk anything about basketball really) but that math is quite safe to pursue
my initial point bringing in bball is that I don't think it always makes sense to encourage and talk about unrealistic goals, like becoming a math prof, which I think you agree to
The 'do math as a hobby' part is also fine but it does feel like it will lead to 'ok let's do this as a job'
The specific hobbyist -> paid mathematician jump is hard and unrealistic for most I would say
not if you're a teenager
same as it doesn't make sense for bball enthusiast -> NBA

depends on your current potential I guess
I don't know math academia in general is very big. If your goal is "I want to be some kind of mathematician, I don't care about the quality of the institution I end up working at or the field" I think that's very achievable for people with discipline
idk, I if anything people like DraK's teachers are pretty good examples that it cant be that hard if you take what he says at face value
Let's say you don't mind joining University of Illinois Chicago math dept (i'm just naming a non-T20 uni)
that's already a really good math department
IDK if you can even get in, if for example you were a graduate from Illinois Chicago
I don't know I know plenty of people who went to worse schools than that and got faculty positions at better ones
it really doesn't work the way you think
wow, how
Most people don't work very hard at mathematics
The issue @upbeat shore is that there is a lot of nepotism in academia
maybe my current uni is too prestige pilled
especially if they don't have lots of initial talent
which fookin sux
I don't think it really works that way in math
beyond a certain point it really only depends on your output
I know several people who over or under placed in e.g. phd applications because they had better / worse letter writers
yes I think early on there is a lot of random variance with letters charisma etc.
and the quality of your letter writers, for better or worse is strongly correlated with the strength of your department
Sorry I gotta say I don't know the others
but in terms of who gets what job, knowing one person can very rarely swing the outcome
I agree with this generally, but sometimes you end up in the right place because of one of the little steps along the way and you're introduced to ideas you'd struggle to see otherwise
e.g. let's say you want to do condensed math
If you're at generic grad school X, chances are there aren't going to be many experts who really know the subject
because its relatively new
Other than Bonn who's really doing Scholze math
I'm in bonn so my perspective here is a bit skewed
But you get the gist of what I mean @tight comet
I think it certainly helps to get a better education if you want to work in a certain area or work at a specific institution
but we weren't talking about that
ok this is an interesting take
there are some fields (eg Math GR) which are borderline impossible to work in outside of a certain few unis
but i dont think that's relevant
Okay that's fair
I do agree with your central point - a lot of these deficits can be overcome with effort, especially since the "competition" often rests moreoften than they probably ought to
yes
I mean from my perspective I identify as very talented and very lazy, but i know many of people who have been successful with seemingly very average levels of ability
hey I've not really found that
the 'work hard to get where they are' kind
I feel like I'm that now
But I'm at my limit
maybe you're just not as interested in mathematics as you thought you were, but I would say that if you have passion for it you can always push through whatever temporary difficulties you're having
well true I have other things which do rank higher
i don't know, mathematics is much more "work capped" than it is "skill capped" as are 90% of human activities outside of certain sports etc. where you cant succeed without being a genetic freak
There are some skill caps; different people can effectively work mentally for different numbers of hours per day. e.g. Hardy famously never worked past noon
or maybe 2 I don't recall exactly*
But e.g. erdös worked like 18 hrs/ day
At least big grand daddy of AG was a hard worker
I don't know it depends. I often work for 12 hours a day for a week and then take 2 weeks doing 2 or fewer hours of "hard work" a day
does that make me a stupid or a smart person? does that support or undermine your point?
My comment wasn't about smart or not
these things are different for different people, sometimes it's not a skill issue, it's just how those people preferred to work
It was just a statement about mental energy
If I worked for 18 hrs a day I'd get tired after a few days; I need more sleep than that
Yeah but you're also not jacked up on amphetamines all the time like erdos was
*that you know of 😛
true lol
You're of course correct
wait drugs are the secret to becoming a great mathematician? why did no one tell me that earlier
Grand daddy of AG wasn't on drugs
Personally I find that doing a few hours of really productive work a day are enough for me
yes but he was also probably bipolar to some extent. anyway the point is just that some people are really productive working constantly like grothendieck, and others are not.
Also Serre's still doing math lmaoooooo
So, in conclusion, our problem is that we're chatting on here instead of working 😛
when you say this, do you mean by form or by nature?
Someone once said he smelled like garlic
what drug is best for math?
coffee
I have never drunk coffee
I don't like the taste of it
tasted it once
never again
you can get caffeine pills
Tea
does it really make that much of a difference
I prefer xanax and whiskey
good health
the term for drugs that enhance cognitive ability is nootropics
so if you wanted more experimental results, that would be where you search
it works for some people and not for others
im very addicted to caffeine but for some people it just makes them jittery and doesn't help
it won't really make you a genius or anything obviously, it might just make you a little more alert/have a little more stamina
This is my situation; if I drink coffee I get too jittery to work effectively or sleep the night I drank it
i only drink it in the morning
I’m not sure what you mean by this, can you reword it?
usually it wears off by the evening
idk go see a therapist and see if there might be something going on? otherwise "be more disciplined" is the only answer really
Well it kinda depends on what u get distracted with/by
discord
I’m pretty easily distracted so I just use noise cancelling headphones to play constant rain sounds or brown noise while I work. I often work in places with no one else because movement in my peripheral vision draws my attention
video games
Lmao relatable tbh
music
Tried cutting off your Internet?
Turn off notifications ofc, etc
but not like, distracted while doing something?
No kidding, I've been considering doing that but I've just been a sissy. Perhaps I actually should give it a go 
like I'm tryna focus on this problem and then I think to myself "oh why don't I go check discussy on the math server"
LMAO SAME
If I’m trying to read I essentially have to look at a uniformly colored wall as my background.
It kinda sucks but that’s what it takes for me 🤷♂️
I usually go to a library and use their computers without any of my stuff in it
Brown noise? Thats the worse noise
I find the high pitched frequencies in e.g. white noise to be grating
by nature, i mean it is limited to their genetics
and by form, i mean it is a product of their choices and circumstances
form would encompass things like diet, sleep, work, environment, upbringing, etc.
There is an urban legend about brown noise making people want to poop
lmao
Thought this was important to share
very important indeed
I’d say a mix then? Certainly things like diet will effect your mental energy. But like all human characteristics there is probably some spectrum and it’s potentially advantageous to have more. For example, I had a hormone condition some time back and it left me chronically fatigued. It made doing mental work difficult because I struggled not to fall asleep. If I drank coffee I’d get to jittery and hypersensitive to stimuli. I had to give up reading traditionally (and as my messages probably indicate I still have little success with it honestly) and spend most of my time doing math more actively, read definitions and theorems, put the book away, walk around and try to prove them etc.
But it was bad, I was sleeping like 12 hours a day for a long while
Quite ironic for me to be commenting on this since I myself am victim of such an issue. But some ideas I had/have tried/am trying would be to, for one thing, install an app that tracks your app usage. Kinda like parental controls except u manage yourself and reflect on how well you've been performing.
Other stuff include logging out of discord, changing the environment in accordance to what I need, smth like keeping the devices out of the room where u study, yknow? Stuff like that
that's not normal?
bro I sleep like 14-16 hours sometimes
what condition did you have?
Every day?
interesting, the word intelligence quotient is banned
video games
had a team kill there
Lmao
do u stay up for extended periods of times? how is that possible
Well, I know of someone with a heart condition which occasionally causes them to sleep for.... literally a day and a few hours

It was a mix of mental health being born (and currently identifying as) male but had a severe testosterone deficiency and inflated estrogen levels - but not inflated enough to compensate for my testosterone deficiency.
Well, from what they experience, its kinda like their heart would go really fast, they get tired, feel dizzy and faint before they just lie on the bed and black out.
I miss the the simpler times when there was like 3 tanks to choose from
But as I improved my condition my mental health and energy levels both improved dramatically
Does anyone have any experience tutoring students? I want to start, probably A level Maths/Further maths (UK) and the US equivalent (precalc?). Do I just start finding tutoring students to teach?
Isnt there some uber-like web site or app for connecting tutors and students? I feel like this should be a thing
Whats the level of maths education before people do university maths in the US?
Extremely varied is the correct answer
Based username
occasionally
2 times a week
Bro that ain’t occasionally!
why are you responding to that but not my big W rizz moment in overwatch
didn't watch
Not sure if this is the right forum for this but I had this thought about spaces today and wanted
to know if this type of space / this line of thinking has more formal definitions.
Consider a 2D sheet. When we reach the right of the sheet travelling to the right we return
to the left side of the sheet. Like a cylinder topology.
| ->| |-> |
| | | |
| | | |
However if we travel leftwards to the
left of the sheet we get inverted like some mobius strip.
|<- | | |
| | | |
| | | <-|
Is there a name for this class of space?
Hey people, did you see that on Monday it’s gonna be Dr. Strang’s last lecture?
so this probably wouldnt be called a "space" since spaces have a consistent geometry
like they arent encoded with a notion of "travelling along a line", instead those things are determined by the metric
you could probably try to formally define something like this, but im unaware of attempts to do so
dis is called not space but called 
Hi friends
pls prove pitagoers theorem i need it
Can I get a question to solve
Here is a question to solve:
Let n, k be positive integers. Find solutions to the equation:
1ᵏ + 2ᵏ + ... + nᵏ = (n + 1)ᵏ
e.g 1¹ + 2¹ = 3¹
What other solutions are there?
That's all
I feel like the pandemic I lucked out
solve this :
a,b not 0
a x b x ab = bbb
HELP
1
lol
x = ±sqrt(b/a^2)
HELP ME
bruh
ab: a is ten, b is one
ab is a number have 2 digits
and bbb is a number have 3 digits
example :
a=7, b=2
a x b x ab = 7 x 2 x 72
GOT IT?
HELP
oh i thought it was just nmultiplication
Hey guys, i have a question that's not math but related to math in some ways, i always try to make sense every equation that i learn which sometimes require some proof, for example i have a hard time learning physics since its hard to get or even understand the proof since physics derived from more sophisticated equations than what you learned in high school, it makes me stuck in my study since the prerequisites for some topics are not learned in high school too, is there any way to fix this?
You have a hard time learning physics because for equation you are shown, you need to FULLY understand the equation in order for your brain to accept it, this requires more advanced math that you don't understand as well. Am I understanding this correctly?
@trim sparrow
Yes
You get questions that require said equation to solve. Do you need to understand the equation fully (as you said, proofs) in order to solve the question? @trim sparrow
Sorry for the late answer, but if its just basic arithmetic without variables i dont need any proof
What have tried to solve your problem?
I read proof and learn the prerequisites but it takes a lot of time
You can keep asking why and how with any topic in the world. Keep asking long enough and you'll have topics presented to you that are way out of your league at the moment (in this case proofs). I assume your goal is to pass a test. Accept that you don't fully understand why an equation works but keep doing practise problems with it and you will become better at using said equation or idea. This situation reminds me a lot of the black box concept. Look it up on wikipedia or watch some videos on it. I believe it'll help you with your issue
I can see how this'll help in some cases, but doesnt this create more equations to practice?
And i always worry that in some way i might forget about the equation, while if i understand the concept i can start over from scratch with the idea
a lot of it boils down to empirical methods which given your situation isn't that important. Once u get hold of equations and stuff, you can come back to how it was originally derived, u can skip the "understanding the origins" part and after you are thoroughly done with the topic, you then learn proofs and all
and if it is a test, then it isn't feasible or advisable to reproduce everything from scratch...remember one golden formula from which you can derive other things
But sometimes i came across some problems that do need the understanding, like for example one time when i practice for linear transformation which explained poorly by the textbook i used, i use my understanding of matrix that i learn from 3blue1brown
y know these sorts of things come from experience, where, when and how much time to spend on what topic. Try to skip it and see if u can still make progess, and if you feel like you can't make any progress without understanding that very core piece then refer back
and sometimes it's better to blindly believe that "X thing work that way" and after you made significant progress, you can refer back how exactly X worked, this technique saved a lot of my time + i understood it better than if i had referred it initially in the phase
Im kinda dumb, i question things a lot, this makes me require that very core all the time, i even try imagining it
What worry me for not understanding the core is like famous E = mc² which said its more than described in the equation, especially physics where sometimes variable matters and sometimes they can be neglected
questioning is a good thing, I too had the bad habit of obsessing over things I didn't understand, but just let it go for a while, (this really seems counterintuitive) you still can make progress even if you don't fully understand the core or origins. You just have to be comfortable enough to deal with variables, formula and all that.
Even if it costs some flexibility?
if you are result oriented like me than, follow as what i said, otherwise you would waste a lot of time in unimportant things, you can obsess over these things in your free time
yea
Ok i'll try it out, but how to determine if an equation is the one uses to derived other?
you start to get it on your own...fiddle around with it for a while
dw
And i realized some degree of understanding still required like for maximum/minimum local point of a function you need some understanding in calculus
Which there is some option like using the equation which requires memorization of said equation or learn some calculus then i dont need to memorize the equation, which one is better for this problem?
<@&268886789983436800>

Free Stanford class on how to learn math:
https://online.stanford.edu/courses/gse-yeduc115-s-how-learn-math-students
Don't spam.
How is this Spam?
you don't need to post this in every channel
its a useful resource for people who want to learn math
yes but not everyone goes into every room and the discussions move so fast that i wanted as many people to see the resource, but OKAY
I wont share the resources here
"here have it" is not a good way to share a resource
i never said here have it
and you can choose to share YOUR resources however YOU want to. i share mine very straight forward sometimes.
lol, you must have reported me sharing it or something since you saw it come up on more than one discussion. SMH... so trivial, pathetic, & petty if so. Cant even share a useful resource without a random whoever wanting to control HOW you do it. lsmh ... let me get tf offline bc you just reminded me of how lame people can be online for literally no sound reason at all.
reported? I own this server
LOL
Most public servers don't allow posting the same links in every channel ! I would assume you can tell the mods if you can post the useful links in any resource channel so everyone can find it easily rather than it getting buried in an unrelated channel 🏃♀️

Asking for a friend, he's doing a math major
his university offers several double degree programs, he's interested in the economics double degree, the software engineering double degree and philosophy double degree program, which one should he choose?
will economics double degree be very helpful for making money?
I'm not sure how much of an applied discipline economics actually is, versus say finance. There might be better options for a financial math focus.
@fading moon in terms of making money, that is
which one would you choose?
Software engineering myself. I like to code. I'm interested in financial math too but economics seems too soft science and boring. Philosophy would be cool but you can always study that on your own
That is my opinion
Software engineering eziest money out of the 3
I will say tho
Economics can use a looooooooot of math
I thought economics could make money
can, usually don't
but it seems my view is too naive
yeah those multi-variate regressions
some of the skills I even dont know yet
they use multi calc at best
Ik econometrics uses some advanced stats
I remember there are a lot of multivariate regressions
but that's just my vague impression
At the undergrad level I'll admit at most schools it'll be very soft :/
why would they go to grad school if they want to make money
what can a economics double degree do if anyone knows?

double with what?
it goes well with maths
double with math, current major
no im just saying economics can use a lot of math
thank you for this explanation, however I did not post it on every channel. I posted it to three related channels. I did not see a rule that says to not do that, but I will definitely keep your comment in mind going forward.
And yet your comment to me was how my posting was rude. you did not explain that there is a rule regarding how to post useful resources so I just posted it in the three related channels that made the most sense to do that in.
Since you own the channel and dont want me to post a link in a rude way, it would have been nice to also have been interacted with in a non-rude way. Its a really useful trait of a leader to be the example they wish to see in the world.
Im sure you believe you can do whatever since you own the server, therefore dont expect to perceive niceties when you yourself are not exemplifying them jn your own communicative abilities.
However, thanks to someone else's explanation I will refrain from posting any further useful resources for those interested in mathematics.
be well. ✌🏾
yo mama
you need to learn how the internet works
Please explain.
Stop crying
Also the internet or Discord? I know exactly how the internet works.
No tears over here baby.
Show me my tears, lol
Little baby have dirty diaper
Oh no
Don't cry
where is mommy?
Anyone know who this baby's mother is
i thought discord had a "must be at least 13" rule
Just don't spam the same link in three different channels
simple as
you must own the server too huh? 😂
Please explain.
You cried about being reported just because someone told you to stop
Literally no one reported you, you just made it up
you seem to have a victim mentality
Because I responded you see that as crying. interesting .
sounds like a personal problem to me
She cleared it up though. She owns the server. lol
Who is?
Because I wont be quiet?
You spammed a link in three different channels and cried about someone telling you to stop
she?
pink name = she ( i might be color blind ) || they are he/him tho||
yes i assumed a gender. if im wrong im wrong. if im right im right.
he literally has the "he/him" pronoun role 
Lmao
I have to make an essay to enter honors college...
The prompt was "If you could change one thing about the world, what would it be?"
I thought about doing empathy as my topic
but at this point my topic is probably gonna be about essays and how **$@$ stupid they are as requirements for scholarships and honours college
Anteros
I literally have a 4.0 GPA. why do i need to write to you about how I wish we could poop out of pee holes
agghhhhh
man
Im a 9th grader and dont understand shit in this channel but i want to
do yall have any recomendations for me to learn
like videos or smthng
In my school we learn math but i feel like we are going too slow, and i want to learn faster, so that it can later be easier for me and i can focus on other stuff instead of math, bc usually if everything is explained to me i understand it
and i barely forget
if anyone replies to me pls ping
@young ocean maybe start learning from Khan Academy? It'll take you up through differential equations.
Linear algebra too
here?
oops
damn i cant upload a file
Khan academy free online courses, lessons & practice?
Ill look into it, thanks
if x^2 + y^2 = r^2 graphs a circle's perimeter, what can sort of graph a square's perimeter? (yeah with an infinite slope on each ({pm}s)/2 side)
a square rotated 45 degrees could sort of be the abs value equation with a minus plus attached to it
|x| + |y| = r and lim |x|^p + |y|^p as p -> +infinity = r
how do I do limits on desmos
it has the lim arrow thing so im guessing some usage exists
also beautiful first function, i had to do (y)^2 = (abs(x) - (r/2)) + 0^(x + r/2) + 0^(-x + r/2) to graph a similar square
when I use p to vary, it looks so beautiful
also as p approaches infinity the shape does indeed become a square
amazing
i love it
abs can also be defined as (x^2)^0.5
so ((x^2)^0.5)^p would be (x^2)^0.5p
as p approaches 0
(x^2)^0 + (y^2)^0 = 1 + 1 = r
wait no
Hello!
hi ❤️ 😻 ❤️🔥
I'm trying to figure that out
Makes sense
hi
aight
Hi raging griffin
hello

Girl I don't even know what that means, lol.
do u guys use flashcards when studying?
i was wondering if there is some kind of database of flashcards for like graduate courses
i made a flashcard app that fits my needs. its almost done. as for the actual flashcards, will have to slowly build up my database, but if there are some pre-existing ones that i can quickly populate my app with, it would be awesome.
anki didnt look great to me
also i was itching to learn how to make simple apps. so
@clever star can u share ur cards
@rich rapids sorry for the @, but i’m actually making a flash card app for my coursework, what are you building urs on?
it means he has the "he/him" role which indicates he prefers those pronouns
the same way you have the "she/her" role
you can also tell by the badge next to your name
anki 
which language are you learning?
I love how anki was originally created for the devs to learn japanese only to end up being abused the shit out of by med students
In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and various other algebraic structures. In u...
thanks but this just made me more confused :(
I'm using the quotient rule to differentiate some functions and it's fine. But on the examples they proceed to use square brackets to simplify the expression. I don't understand why or how this is happening.
I'm getting to some fractions with the top have a few sets of brackets with x functions but then they switch up some powers n tha and there's square brackets and I don't understand
Somewhere between Chinese, Spanish, and Zulu
Good idea!

waaahhh? green-leaf darq?
I was on a hiatus
I might leave again actually
I have important exams coming up 
we love you darq
Hi
hi
how are you doing project
android studio
kotlin
that anki thing really doesn't seem like it's made for the phone🤔
probably means that the blue curve looks smooth
just curious, do you make your own sets. or do you find them online (and if you do how)?
I make my own
<@&268886789983436800>
aw man, he had a chad pfp!
that is scary
The mods didnt delete the message tho. Everyone still gonna dm 😐
Ok, I know I may be reading too much into this, but I asked for a reference for masters from my supervisor yesterday night, and he submitted it by now (11am the next day) is this a good or bad sign lmao it feels way too speedy
<@&268886789983436800> could you please check @devout cedar
what about them
ok I see
#help-3 I pinged you there, insult, playing dumb, seems like didn't read rules
Thanks
@urban island Message modmail if you think it's a problem with that user (include their name), mods will make a decision on to ban or just mute them
Honestly I used to just ping the mod role lmfao
If it's not serious enough, just message modmail, and one of the mods will investigate. Like that level of trolling isn't serious enough to ping mods. If they were spamming in every channel, some random trollish math question, then that's pingable, but they just posted in two channels so far
Alr
x = {1,2,3} ;A = {1,{1,2},{{1,2,3}}}
is X subset of A?
can u answere this guys?
and what are the power set?
x is not a subset of A
Power set for a set 'A' is defined as the set of all possible subsets of the set 'A'
The power set of X = {1, 2, 3} is:
{{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
!help
Please read #❓how-to-get-help
Please read #❓how-to-get-help
jelp her bro 💀
no one is
just go to help channel and ask
can u
im not that good
Help with what anyways
anyone who hellp me is mean
bc i’m slow
with domain and range graph
blah blah
like bruh this one dude was bullying me
It's just- I'm getting more and more unsure as to what I'm doing?
On one hand, I was telling myself "just stick to Khan Academy and finish all the content in it before moving on to books"
But at the same time, I'm having difficulties extracting the important courses in KA. Some just feel too easy, others too hard. I'm unable to nail down what exactly I should be learning on KA. Furthermore, as someone who's more of a books lover, I'd prefer diving straight into some discrete maths/calculus books. But.... I just have this uneasy feeling of "I don't have the fundamentals ready". Any.... suggestions of sorts?
keep with the great content
Post in #advanced-lounge
chuckles sorry it’s so long 🤓🔥😂😂😂😂
<@&268886789983436800> Bard response.
bard? my son bard😂😂😂😂💯💯
alright i’ll stop i’ve learned my lesson….
saying youll stop after doing it again doesnt make it ok. come back in 24h
mb, should have expected such responses and asked in a more appropriate channel. I'll send it in advanced lounge when the discussion there's over
Hi! I'm curious if anyone here attended Hampshire college Summer Studies in Mathematics (HCSSiM) and if so, if I can ask that person some questions about it
X is a subset of A, if all x in X are in A
3 is not in A
not a subset
a power set is all of the subsets of a set
(i use P(..) to denote a power set btw)
P(X) = {a : a is a subset of X}
$|P(X)| = 2^{|X|}$
amukh1
Btw X is an element of A but not a subset
amukh1
${X} \in A \implies X,{X} \not\subseteq A, \text{ because } X,{X} \not \in P(A)$
Why do u say X Is an element of A
wait, X is not an element of A
I think so
{X} is an element of A not X
Yeah ig
tf
amukh1
They added an extra bracket there for that reason alone 😂
lol
Okay, thanks for all ur participatiion
im bored af lol too bad this ended :(
Holy shit
It’s all wrong
Heeyeeyeee. Wanted to ask a really open question about a link between category theory and the buddhist idea of non-self. The basic notion (as far as I understand it, which isnt much) is that there is no unchanging part of self that you can ascribe the quality of "atman" or "observer". This quality being the basis of self means that you can't or perhaps shouldn't try to find what is "atman".
For me, a parallel emerges with the basic mechanisms of Category Theory. That is you don't look deeply into the objects of your Categories while operating inside the language of category theory. The theorems and definitions of CT focus on the relations between objects, and from that can ascribe certain qualities to those objects.
So thats the jist of it. If anyone has any insight or corrections on this, please lemmino. I think this deals with math/philosophy more than it does religion, but if yall think this topic doesnt fit here, I have another more concrete and purely CT question.
Im trying to find any articles on this, but even ncatlab seems lacking
i feel like you're misunderstanding buddhism
I think non self is like "Self doesn't stay consistent or even remain the same across reincarnations or even during life"
Well more like Soul than Self
Literally no way it can related to CT, lmao
even ncatlab seems lacking
LOLLLL
if this is a shitpost, this fucking gold
elo hoomans
hi kiameimoniensis
Does anyone have a quizlet plus account I can use
nani
Seeing as there are full articles on religious philosphy and history of philosophy on there, something like this isnt far fetched. I agree this link is a shot in the dark. Thought maybe someone here might have had a similar thought and explored it before me.
?
hey
Hello, new member.
Wdym
Now, what about are you discussing?
gore 💀
gore? I don't understand..
are you on drugs
ng coming in with the real question
gore is bloody stuff
So I am bloody stuff?
no
i meant
we are talking about
bloody stuff
Oh... I am sorry.
Ok
are you new to discord?
yes


are you new to discord? wanna be friends
ahahhahaa very funny
it had me on the floor laughing
:(
:(
i cant understand why you tryna be rude
@rocky shuttle where are you i wanna troll you :(
Hi all! I'm new to the server. My name is ranya kumoschalkboard but you can call me RYC for short (pronounced "reek"). I love egg bagels, four cheese pasta, and taking short walks by the beach. Excited to meet you all!
You already trolled everyone
I'm soery, I dont mean to be rude
I was just inspired on a new way to get revenge on zanarcane
ryc do you wanna be friends uwu

Nopey nope
yea you were just trying to make fun of me
I want to be enemies
When did I ever do something bad to you 
oh the misery
Rycheese factory

tbf, I would've made fun of you too
¯_(ツ)_/¯
Hey darq wanna be frie- nvm i cant follow through on that
yea do it
ofc darling
and we would double suicide together


it would be painless
im always here for you pumpkin
you said you wanna be friends
I'm outta here
¯_(ツ)_/¯
you gotta accept
your fate
@deep mango wannna join us
bestie for the restie

Green leaves never cease to be extremely strange and low quality
a tripple suicide
ok, ig?
you are high quality bro
@solid snow wanna join us too?
in our suicide mission
Imagine pinging a dude for 3 messages in a row

does anyone have suggestions to where i could go to college to get a phd in aerospace engineering? im having a really hard time picking (please try to keep college suggestions in the U.S., but i am open to studying abroad)
First, check your state’s universities’ aerospace programs. Are they good? Affordable? Connected with industry, etc. .
my state doesn't even have an aerospace program
Ye
Aerospace seems like something you would specialize in upper years
yeah, im trying to get my grad and undergrad work in the same university, but i dont think that's gonna happen
Damn
My second best suggestion is to check some sort of rankings list and consider cost / chances of getting in
Guys
UIUC has an aerospace engineering undergrad and graduate program
How can you know when picking classes when office hours are
So you dont have another class overlapping with a different class' officer hours
You don't! Usually
However, some classes if they're smaller will hopefully have some sort of scheduling the first week or two of the semester
Larger classes hopefully will have enough that it's not a big deal
yeah maybe pick a place that's near where you want to retire too
what qualifies as ``small'' here?
like, a class is 23 ppl
nice nice
also, today i realized that college counselors are 10000x better than high school counselors
I feel a bit screwed- by functions. Apparently functions aren't really covered in detail in spivak's calculus, and I'm worried that I lack the ideas of sets and functions to be doing spivak. However, I'm also finding myself to enjoy spivak a heck ton, and I'm reluctant to put it down at the moment and do Rosen's discrete maths (which.... covers functions in more detail) instead. Its quite the dilemma for me: interesting book that I'm enjoying but may not be "ready" for yet, or a book which I find slightly boring but covers "basics", like probability, combinatorics, proofs, logic, functions, etc. Furthermore, I tend to spend hours on literally the most basic things- I just spent 2.5h on literally the first 7 pages of spivak. It's not that the concepts were hard, I alr am somewhat familiar with them in fact, but... Idk- I just tend to take lengthy notes of almost every page. I feel like taking this long is rather concerning as well 💀 Any suggestions 
you can always learn the pre-reqs as you go
Functions are just special relations smh
Relations are just subsets smh
Subsets are just smaller sets smh
equivalence classes partition a set
smh
Also for notes just highlight the portion in the pdf itself and write notes there. It should be enough unless you wanna make notes for some special purpose
I mean yeah but like idk, my head just can't help but pull off a shit ton of "Okay wait what about this" etc 💀
I use hardcopy
That's better, just write it in the book itself
I don't really like the idea of "dirtying" the book, and also cuz I wanna practice latex, but... Ig I could try?
That would make sense if I had purchased expensive books 
All my books are either Dover, cheap SEA editions or printed
I suppose so
maybe I really am overworrying over shit as usual 💀 But eh ig I'll just stick to completing spivak and doing rosen's discrete maths as and when I feel like it
I suppose the question you want to ask is this: is taking notes the most effective use of your time?
Yeah, that's one of my concerns too
I will say this. Spivak has gifted us with very wide margins.
Use them.
😛
How were you taking notes, by the way? Simply transcribing the properties of numbers and his explanations of his statements? Or were you more engaged?
I feel like while I'm enjoying the process by typing down random thoughts/ideas on math as I go through the book, I feel like.... its also slowing my progress by a lot?
I was kinda discussing it with myself
I mean that's good.
Personally, what I do when I'm reading a textbook like this, is:
It feels a bit weird to... "vandalise" the book, idk, I'm just weird, perhaps I'm too used to keeping texts clean
Unless you plan on reselling it and need the money, I'd say use it for annotations man.
Ic....
IDK I've been through a degree heavily annotating $350 books.
Do u usually annotate using pen or pencil?
just typing out solutions to challenging problems or hard theorems should be enough
Coloured pens and highlighers are what I used for glossy print pages. My copy of Spivak has nice soft, non-glossy paper, so I use a pencil on that.
I try to set myself an arbitrary time limit, let's say, 15-20 minutes, where I am noting down the main theorems, definitions, strategies mentioned, as a 'first pass' reading. This is superficial and the point is just to equip myself with enough priming to attempt the problems. I do this with the intention that later, with a more experienced eye, I might be engaging with the chapter differently (often time means I won't, but I might be revisiting it when I'm redoing more notes).
Because once I start working the problems, I will start to engage with reading certain sections in a much more constructive and creative way.
Yeah, usually it's enough to "get by", but... personally, I like to play about with the ideas.
Yet at the same time I know that I have to progress at a fast rate if I wanna stay ahead (cuz sadly the world's a competition) and what I'm doing is technically "a time waster" from that perspective
So yes, conflict
Ooh....
If I'm going through some dense lecture notes, I will go much slower... could easily spend 3 hours on one lectures' readings if I'm being careful to try and prove things myself, break theorems, play with definitions. I usually don't have the time.
You're going to encounter some results and definitions and theorems that might stop you in your track, in which case, expect to take much longer with the reading and thinking and playing around, but for some content like properties of the real numbers - I'm assuming you know all that and just want the practice of using them very carefully to prove some basic results.
Anyway good luck. I find it's always a struggle between passive reception and active engagement and there's not enough time for anything. But I'd say the sooner you're working problems, trying to write your arguments and proofs, and getting feedback from people on them, the better.
Makes sense, kinda captured my struggle with spivak pretty well
Well on top of that there's also the issue of me being unsure if I'm really ready for spivak's calculus. Do people usually take discrete maths before calc? Idk 
Well some schools teach calculus with Spivak after an introductory proofs course and some don't.
I think you will get fair bang for your buck going through the first few chapters of a book like Epp's Discrete Mathematics (and get to the problems quickly when you're reading!) but I'd also encourage you to just try the exercises, post your work for feedback, and see how you go.
In osmosis with salt, does the salt pull the water across the membrane?
The water will be pulled towards the side with the higher concentration until they're at equilibrium
That sounds kinda inappropriate

hi
Me when the 3x + 1
Wdym where
pew


@feral kernel what did you use to write #help-15 message this. looks super trippy and 3d
Looks like a glass white board
Glass white boards are pretty common as the regular white boards can peel and crack
@lyric sonnet Stay away from me
Why do you need to DM another mathematics member in private? @uncut socket
Not really your business because I'm trying to ask something
What are you asking?
You seem extremely creepy

Suuuuoer creepy
I HATE MATH
Oh.
Maybe I should use a calculator
instead of evaluating functions by hand
Maybe that's why I'm burning out
Anterooos why
Algebra is so easy
How many hours did you put into studying your textbook?
Well, just study!
My undergrad was 14 years, im only now working on MS
It's only hard when you don't put effort into studying

I'm taking abstract algebra next semester
What are the topics in graduate algebra?
that's a very long time
hi ally
its group theory course
yes I didn't think i'd finish
hi zan
group theory sounds very broad
🦶
#feet-discussion
im not into feet :(=
I see, I did those in undergraduate
And was curious what comes after that
"Please only use this channel for discussion about Dummitt and Foote's textbook Abstract Algebra"
not a large program
right
I"m mostly into probability theory
#feet-discussion 🤮
Anyone here did Math AA HL?
I use a glass board. It is an A3 picture frame with white paper in it. It is really fun to write mathematics on it with a whiteboard marker.
Does anyone understand probability
no
probably
Under the public right to information act of 2023, I seek information as to why my name was right clicked and "Block" selected
Am fully aware of that.
Thanks for reminding
is there people
💀💀
anyone have a good introductory vid for long division
helping brother but the one made by organic chem tutor isn’t exactly what we’ve learnt
Security deposit: $700
Payment Processing Fee: $23
What the fuck is a "payment processing fee"? That's so goddamn stupid.
(I'm in my "Zorn's Lemon pays for an apartment" arc right now)
if you pay by cash or check you can dodge that
but yeah they do that when I pay by debit card
Alright. I'll pay my monthly rent by check
just pay your monthly rent in pennies
me when i give the landlord 70000 pennies
btw, re: "payment processing fee" - that's roughly 3%, which is probably what the debit card network is charging for the transaction
i should have gone into the debit card network business and undercut Visa or whoever by charging only 2.5%
I think that's how Elon Musk originally became rich, with paypal
passively collecting a surcharge from millions of people's transactions has gotta be one of the most painless ways to become very wealthy
it has worked for wall street for 100+ years after all
And somehow it's worse with credit card like the whole reason I got one was to get extra money but instead I have to pay more cause of processing fee. So, ultimately it's cheaper to just use debit card of even better just UPI
😭
does khan academy contain all the math classes (including advanced classes) in high school

Hello
my name is kiara but you can call me kiki
hmm, I wonder what the hyperbole of throwing on coordinates xyz is here
its like.. can it be calc, wdyt guys?
#old-network there's a chem server
Statistically more likely yeah
good morning
good
morning
mornin'
goo'
I need advice
There is this summer activity I really want to go to, it will fulfil and enrich me so much in ways i can't even express
But it is in another city, 4hours way from where I live. I do not know anyone there who could give me a place to sleep, and my parents do not allow me to be there alone for a week, and they can't stay with me either
What can I do to go there?
don't they provide place to stay?
Guys, how do I read a/b
[ə slæʃ biː]
idk
<@&268886789983436800>
Is this a scam link?
No, I opened it and it just looks like a collection of ai based tools
not strictly but thats all theyve posted between disc channels
Oh multiposting
does anyone know mathmatican C.V.Durell ?

Is it okay to just have a grasp of the math definitions/theorems and be able to solve problems without remembering the definitions ? I feel like trying to remember them would take me a ton of time
its okay
but its better to know why
Ok ty
yeah knowing why something is happening is the best feeling in math
I would be very surprised if you weren't able to remember definitions but were able to solve problems
Often the precise definition is important because it's necessary to solve problems. If you don't want to memorize them, you'll need to become very good at looking up necessary definitions and theorems.
Ah I see, it's needed for proving theorems I guess
I am only at precalc so I don't have to prove ftm
Oh then maybe you're fine
I don't know what precalc is; I only became plugged into the US system starting with college.
Precalc is basically highschool math - calculus
It is usually much harder than calculus because of things like combi lmao
I feel like the point of highschool math is to do calculus, though? Like, everything I learned before calculus was pretty much just building up to calculus (algebraic manipulations, polynomials, trigenometric functions, etc.)
There was a weird aside where we did some Euclidean geometry, but otherwise it was all fairly obviously oriented that way.
Ok ig combi gets put in precalc because there is no other place to put it in
Americans do combinatorics in highschool?
we should start teaching baby's first group theory to high schoolers
This but unironically. A 15-year-old could read Pinter without much difficulty.
Well how else do people qualify for olympiads there
I don't know I didn't do comp math until I tried the putnam in my 3rd year
Reading Art of Problem Solving books
Yeah olympiad winners definitely go above and beyond the American curriculum
Though """technically"""" someone with only a high school education could win an olympiad, they wouldn't have the shortcut tools of say many modular arithmetic results
They teach basic graph theory in some hs
I heard every olympiad winner has read all of Hartshorne for contest prep
Fr tho there was a gold medalist in my grade in hs and he reaaaaally liked combo.
My hs only offered an intro to combo class tho and that was already exceptionally rare for an american high school so he mustve learned it from somewhere else 🤷♂️
Idk I was too busy being a moody teen to interact w/ most of the school so idk much more detailed info lmao
Is graph theory related to Algebra?
I think there are some connections
https://en.m.wikipedia.org/wiki/Algebraic_graph_theory
@mental stratus
Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic graph theory, involving the use of linear algebra, the use of group theory, and the study of graph invariants.
peterson graph nice
graph theory is linear algbera in disguise
not all, I never saw it in high school
just realized that was a message from several hours ago, my bad lol
only like the lowest of low level combinatorics lol
Can y'all look at this problem I did and see if I got it right
nani
is 2+2 = 4 ?
2+2 is indeed 4
Troll question
Is anyone familiar log equations?
2 +2 is 2 because two foxes plus two chickens is two foxes
Why'd 7 also eat all the irrational numbers?
Part of a complete breakfast
What'd 7 do 10 hours later
Shit logs
I am
May I ask you a question?
Ok sure
I have this information log 1.109485 = log 1.005208333312t and I'm trying to figure out how long it takes $10,000 investment to grow to $11,094.85 in months.
What is the base of the log? Is it exponential?
I believe so
shouldn't matter
You are right
Try taking the exponential of both sides. Then you can remove the log expressions from there
What is t by the way?
Is that the time?
suppose to be ^12(t) t is time
Ok
I think the question is very vague
lol
The equation log 1.109485 = log 1.005208333312t models the amount of time it takes a $10,000 investment to grow to $11,094.85 in a savings account where the annual interest is compounded monthly. Solve for the amount of time, rounding your answer to the nearest month.
1 month
2 months
20 months
17 months
Some how I got two months.... probably wildly incorrect.
Hi I think the answer is 799 months. Did I get it right?
What's the best way to get into calculus like where do I start?
Not an option. I'm very confused on what it could be.
!help
Please read #❓how-to-get-help
<@&268886789983436800>
The muscule guy then ran towards me, said “You want to see chaos? I'll let you see chaos!”
And then he pulled out a double pendulum
I appreciate this joke
Keep it up
wrong peterson graph
wow i knew he was insane but i didn't realise he was this insane
Naming 「」
its from his book titled maps of meaning, a better title for which is meaningless maps
Such amazing
he's mostly reasonable until you ask him what god is
as much as someone raving about how black people are biologically less intelligent can be reasonable
which is, to be clear, very unreasonable
I meant to say petersen graph lul
Don't remember him saying that.
His research on personality trait theory is solid. Once a scholar steps out of their field of expertise, things start getting wonky.
he wrote the bell curve book
wait
no
I'm wrong
The Bell Curve by charles murray?
Different guy
it's a pretty controversial book. Never read it tho
I think this book was about him psychoanalyzing the bible or some shit.
ok anyway regardless he's said many thoroughly debunked things about how men and women are naturally predisposed to certain jobs
if you look at any of his youtube videos for like 10 seconds he is very much not reasonable
hmm like what video
Isn't he a faculty somewhere?
according to his wikipedia page uni of toronto
Was
That's very high credential. So he cannot be unreasonable most of the time
"stolen youth"
posted 2 weeks ago
Oh he was an assistant prof at harvard too
you would think!
Then he became a full professor at uni of toronto
Yeah the University of Toronto finds him reasonable enough to be a faculty. I have mostly seen short clips of him
hes no longer a professor
look at these chapter titles
maps of meaning was written way before the controversial stuff
its bonkers lol
but most of psychoanalysis is
unverifiable
i mean not just that but lunacy
it's basically all just "oh lgbtq people are pedos we shouldn't be teaching lgbtq stuff to kids" verbal diarrhoea
we should read one for entertainment
true
I need ideas to write a hentai script
@neat lintel
and i didn't even need to look far
there's probably a ton more of that all over gis channel
there is. but most conservative talking heads these days spam that
I think most of topics fall under neither good nor bad setup. Every thing needs balanced point of view.
hes definitely not balanced
peterson is not balanced
the guys a benzo addict come on
wasn't that for his depression?
then he went to russia to put himself in a coma so that he doesnt have to get withdrawals lol
theres some wild stuff about him and his family man
Bruh why russia
I thought he talks about being disciplined etc...which is not bad.
i mean he says you should just eat meat to cure depression so
just look up his rationalwiki page its great
total looney
apparently being on a carnivorous diet cured his depression
Yeah that is completely wrong ...to avoid the vegan favouring arguments and saying meat only diet is healthy. I don't know why he said that
that's not bad. But it's when he starts talking about how depicting coiling snakes on hieroglyphics meant ancient people had innate knowledge of DNA that irks me
that shit's bonkers man
i think him being severely against lgbtq people + everything else is more than bad enough that the discipline shit doesn't cut it
Personally whatever leads to hatred is bad and whatever leads to productivity is good. Hating a section of people is bad. Helping depressed people to become disciplined is good.
that's okay, just don't emulate his treatment plan




