#serious-discussion
1 messages · Page 60 of 1
Arabic is just still in use
What do you mean?
While many changed a lot
Sanskrit and a lot Indo European languages in their old form are also hard

Sure, nobody that I know of said that Arabic is the hardest language in the world lol
Too stupid for the always serious grown ups
Imagine not liking fanbase
Such a based term
I am gonna use it a lot
English fanbase, German Fanbase
But for instance, for the most part non-English speakers have an easier time speaking English than non-Arabic speakers have learning Arabic
Ah
And this is true after you normalize for the obvious shit
Like "Oh do you already know a romance or germanic language?"
I'm a native Arabic speaker and it is a lot easier to articulate myself in English than it is Arabic
I mean, it doesn't make any sense to call languages the hardest
It's all relative
What I said was
Trying to pretend like there's nothing you can say other than shrug and mutter "depends on what you know already" is wrong
German is the Minecraft of languages
English was rather easy for me to learn because it's grammar is almost a subset of the grammar of my native language, the words roughly similar, especially technical terms etc...
U make ur own words up
Look here
but I'm sure if I were Chinese, it would be really difficult
I literally agreed that prior factors influence how easy/hard languages are to pick up
So there's no linear ordering of difficulty
I'd like to be proven wrong about the fact that there is an Arabic learner who speaks and writes in the same way a native speaker would. I just have not met or seen anyone like that in my 20 years of living. It would actually give me a lot of hope if I ever meet someone like that, but alas
Agreeeed
I can bullshit so much shit in English compared to Arabic
If u give people enough criterias and unrelated categories people will always try to force comparison, isn't everything comparable to everything ?
I've not seen this with my native language either
That sentence says nothing
I think it's very rare in general
It says that this idea of categorising hard and easy always seems kinda bad
We force unnecessarily
I presume your language is either east asian or South Asian
No, it's German
Oh that's very interesting
I mean nobody forces anything, when I say, for instance, that English tends to be easier for people to pick up
That's understandable too, German is very difficult in its own right
I am literally repeating what people who had to pick up English and some other language tend to say about it
I think even with English, it's quite rare that people actually have native proficiency
That's cus they here it more often and see it more often
If u give a person more German than English then he will find German easier
They're not forcing comparison they're literally musing about the experiences they had in their life
"That's cus they hear it more often"
Do you know the person I'm talking about?
Making it experience dependent and more individual
Because guess what
Many people claim that they have it, but they underestimate how much reading a native English speaker does, leading to them knowing way more words that they, as a learner, may have never seen before.
My dad learned German first lmfao
That's why I always preach teaching your toddlers more than one language at birth. It is proven that children CAN learn more than one language and it is so so much faster than learning one as an adult
Not as in, he's native German speaker
He's native Berber speaker, from an Arab speaking country
And he finds English easier than Arabic, German, French, and Berber
You're just talking out of your ass now
See, cus he saw more German than English
Meaning it was easy for him to understand German cus he came across it more often, making it a personal criteria for his hard and his easy
But u can't make universal criteria out of it
My ass can't talk
can urs ?

Duck I think the part of the reason you're so hesitant here is that you're apparently finding English too hard to actually effectively here. That or you're just making up blatant nonsense in order to continue being right
I literlaly already said, yes there is no linear ordering
But pretending like all one can do is just throw your hands up and shrug
Goes against the experience of many people who learn multiple languages
And it seems like the only thing you can do to deny that is (a) make things up, or (b) vaguely mutter "B... B... But personal experiences.........."
I can speak multiple languages too, but I still think if u wanna learn a language, it is only dependent on personal experience and language y already k
"only dependent" yeah turns out you're very likely wrong
And you're just doubling down on nothing at this point
Anyway this conversation has exhausted its entertainment/learning value for me
I think it definitely needs some preparation. If the unlikely time comes where I get children, I will try to pass them 4 of my languages or so after a lot of heavy consultation. I think that would help them so much in life if done right tbh
So let's agree to disagree
Disagreed
Lixera: yeah so what I've heard is that if you teach a child multiple languages, you're supposed to have a parent speak each
dami?
Yeah my parents tried teaching me 4 languages when I was a baby
No problem, you just need 4 parents
step fathers
Polyamory
English because ofc, Berber because that's my ethnic language, Arabic because Islam and because we're from Morocco, and French because Morocco
Yeah I have heard about that, it would be sick to be honest
Okay I said that weirdly but
I was born/raised in America
And from a Berber Moroccan family
there are probably a lot of technicalities that you need to be aware of before attempting such an adventure
Idk
Children scare me
So much responsibility
And yeah so what I heard was that the correct way is to have a parent speak one language and another parent speak the other
My family didn't know this. We didn't just have my parents, my aunt also lived with us and my grandmother was around a lot
Turns out they just mixed a lot
In Morocco people very often alternate languages, including within a single sentence
Mostly Arabic and French for people in Morocco, but because my family is Berber now we throw that in the mix
At the time my dad didn't know Arabic super well, but he was really good in Berber, French, and English (also German but that didn't matter for me lol)
My mom and aunt learned half their Berber from talking to my dad so much, but were both very good at Arabic and French, and were picking up English
Grandmother knew Arabic and Berber mostly
So I think everyone just kinda spoke to me the way they did
And I just got confused
Is it lait? Is it milk? Is it 7aleeb? Is it... idek the Berber word for it tbh
Pretty much
la leche
So yeah I went to the doctor once at like, 2.5-3 years old
And the doctor was like wtf his speaking level is that of a 6 month old. He doesn't know anything beyond like, calling you guys
Thought I was deaf
Or mentally handicapped
And there was a bunch of merry go round before someone thought to ask how my family taught me
And realized that it doesn't work and that's why I didn't pick up anything
My off the cuff guess would be "somewhat"
Like, I figure I'm better than the average person but nothing special. What are you thinking?
Same but my mom took me instead because she was concerned about me having a speech-related disability
I didn't talk besides making some sounds at all till that age I think
Maybe that's why I'm good at figuring out what people mean on this server when they express their points badly 😛
Nah but yeah maybe, I never thought about that though
Lmfao. Apparently when I finally started picking up English I started right away with sentences
Since I kinda already knew what was going on at some level I just got confused since there was no consistency
With some kids it's like, either outside the house they speak English and inside they speak either Arabic or Berber
Or maybe on a certain day of the week, or it depends on the parent
But somehow they know "when to say what"
And I didn't. But once my parents zoomed in hard on English
my first words were apparently "me no mum"
Idk what mine were but something tells me they were "Can I have some milk?" lol
shuri,,,,
meow
My first words were "a spinor is the geometric product of an even number of nonzero vectors"
Is it normal if a high school senior takes precalc? If I could take calculus instead of that I would but I didnt know trig at the time which im barely learning
Normal by what standard
What is Physics? Why does time exist? And what is it?
"Well you could ask what chess is , why people check the turn count, and what a chess move is "
-Sun Tzu or something
Sun Tzu art of philosophy
Normal as in is that the last math class for the average senior
In what country
Since you didn't specify I assume US
Because Americans be like that
Precalc is a normal American high school course
In which case I'd say probably not for a senior but maybe
I'd imagine your average high-school student in America takes it in junior year
The next course is AP Calc for college credit
Followed by like stats or calc or some other thing
Many students also didn't take precalc at all, instead taking "Advanced Functions and Mathematics"
But most students in the precalc course were on the "accelerated track" and so were juniors who took calc the next year
Would you say someone would struggle with calculus if they didnt take precalc
I just finished Carothers, Real Analysis, Chapter 1
Thanks! Yeah I'm about to start Chapter 2, heh.
gl
Thank you 😀
if you're weak with trig, conics, or graphing equations maybe. We covered a lot of that in precalc, alongside our first informal look at limits
whenever I was in AP Calc they gave the epsilon delta definition
Im barely learning trig but the last lesson I did was on graphs of sine and amplitude and periods
But solving a triangle is really easy
e
"ich nein mutter"
hes lying - i bet it was 'teach me algebra'
mama not mutter
wut isnt it always deine mutter jokes
mutter is mother
ofc
ich bin ich
Your only like 1 yr behind
What are they?
Anyone have any test taking tips lmao? Got honors calc 3 exam Tuesday and I’m petrified… Too late too really study anything meaningful too so just wondering if there’s any tips in general relating to math
get 8 hours of sleep and a nutritious breakfast
I suppose that’s all I can do haha
solve the problem twice
go through your solution
as if u were a grader
works 100%
i write so many shti things in testrs
lim ak = lim bk --> ak = bk
if i were to reread this i would have caught it
my strat is to always do the test quickly one time and skipping hard problems and doing whats easy to get the most points, then doing any problems i missed.
also while taking the test i put little stars to signify how unsure i am of my answer
no star means im confident
1 star means i want to go back over it, so on and so fourth.
and so then i go back over it doing all the problems that im most unsure about, and by the end if i have time im doing the problems i was most confident about and ensuring each step is justified.
then if i have EVEN more time i just keep doing the test over and over till time
professors HATE me i bet but i consistently top score using this method. if youre given time use it 🔫
also do practice problems before the test if you can + answering questions in this server can help you find things you wouldnt have thought to study
Those are both super helpful! Tysm
theres so much math here that i dont understand, it has opened my eyes to the world of math and now i am even more excited than i already was for even more advanced math as i continue my schooling
math is an interesting subject because of that, because if you get a bachelors in say biology or chemistry, you know a lotta chemistry or biology. But with a bachelors in mathematics, you still barely have scratched the surface
That's probably not true
With any undergraduate degree you have barely scratched the surface by definition
Hello
I am a 15 yo boy who wanna pursue career in aeronautical engineering . Can someone tell me which is the best college for it?
Go to Uni and study aeronautical engineering, I have a friend whose studying that
He loves it
MIT is supposed to have a good program I think
uhm i am actually trying for iit bombay so is iit bombay the best or anything superior than it ( in india)
One of those math books I'll probably never read.
what do people talk about here? just math

I like Pixel
thx
depends on what other devices you have tbh
okay go with pixel then
thanks
iphone is really good but only if you are kinda bought into the rest of their product ecosystem
my moms roped in
ok so to enjoy it you need to give them even more money for other overpriced products

they aren't actually that overpriced these days
the one im looking at is $320 which isnt bad
are you one of those linux people
unlocked after 3 months of a $30 plan
no, why
thats pretty good
i use windows like your average kinda person
pixel is $200
i just figured
pixel has really aggressively priced phones idk how they're doing it
definitely a very good deal
I got a pixel so that I could install GrapheneOS on it, since that's the only phone they support installing it on
if stuff like sandboxed google play services appeals to you
I install all games with no network permissions, so no ads 😎
@deep mango this has some nice deals https://www.visible.com/shop/smartphones
where im gonna get my phone from
i see
Help me pls
actually seems quite good
yep
gift card they have like a vendor list
but its definitely places where you are already spending this much money
so its essentially a rebate
oh if you do buy a Pixel with the intent of putting Graphene on it, make sure you don't get it from Verizon (or probably any other manufacturer other than Google), they OEM lock their phones so you can't do this... 😭
oof
Got a strange text msg today regarding a position in business/account management, customer service and i'm a Math's/CS major with no background in business
spam and scam is normal, not strange
I'm aware I heard of cases of would-be Mathematicans having to do something else (nontechnical) for a while before they could pursure serious work
Are you talking about a cold text or?
Yeah it was a cold text I made a profile on monster so I could look for cs jobs
just sounds suspicious to me but idk context or anything
Pretty much this was a text and spam
!help
Please read #❓how-to-get-help
.
What does it mean if two sets are isometric?
If the points in them have the same distance?
umm
it's like
there's a function from one to the other which respects distances
so if x and y are some distance apart
Ok maybe I can give more context, it's part of this question
Seems like obviously not isometric
then f(x) and f(y) are the same distance apart
but yes homeomorphic
I mean it's just a counterexample for isometric though
and 1/n is the homeomorphism
too many points to account for?
more like, too little space for them to bend and twist
most of the time you can only translate them and reflect them
so it would be easier for function spaces?
I have a question to show an isometric embedding from X to B(X)
even just in R^2 it's easier. a line segment and an arc in R^2 can be isometric
well
sorta
interesting, that question got me thinking, never really thought of it this way before but f(x)=1/x is an isometry for x in Z_p^* (the invertible elements of the p-adic integers, which contains all integers that are not divisible by p.) with the p-adic metric.
f is a function from X to functions from X to R
so f(x) gives you a function from X to R
and then you evaluate that function at y
ok ty makes sense
hi
i know this is a math server, but anyone have knowledge on ap language ?
I have a question about the synthesis essay sophistication point
Man I’m so done with life
Yep
I’ve been dealing with severe health issues for a while and since I’m at the Mississauga campus that still uses post, I’ve been unable to fully qualify yet since I haven’t taken the final course needed
Sickness + rough post + isolation
How is U of T for CS & Math? I've been considering it for my masters
for math? ask @vivid halo
Maybe Waterloo...
I've heard UofT is better (for that major) than Waterloo from a few people
you'll get through it :3
What do you mean by "that major"? Because I'm thinking of going in a direction like type theory/PL/computational logic
well you asked for CS & Math
Yeah as a general net, I'd hate to be at a university where the only math they got is my specific brand
But thank you anyway
I don't know what you're looking for really
A universitys competency in fields unrelated to CS and Math are useless really to this question
you'd be better off comparing the two schools for CS and Math
excellent
Waterloo cs programs are only regarded higher because of the networking possibilities since alot of big tech is headquartered there and have subsequently arranged agreements
Either is excellent
UofT has quite the industrial networking too, no?
yeah, which is why networking possibility of waterloo doesn't necessarily put it ahead of u(t)
say hi for thee vloggggg guyyyys !!!!!
nani
I didn't even understand half of the question ☠️
I 100% failed my math quiz today 💀 I didn't understand any of it and it's like the basics
I'm switching to applied math..
hi
u probably didnt solve enough practice problems
do you think most mathematicians are lonely?
or is math an introverting subject?
I highly doubt if it affected my mental health
It can be lonely tbh
I’ve had a really hard time meeting pure math majors
All the math people I meet are math + CS people
Which I guess makes sense since I’m kinda like that but I’d like to know pure math people
Even in some of the graduate level courses, it seems very cliquey
But some other people seem to have found a good community
So maybe it just depends
what are their backgrounds like?
like a math bachelor degree and CS master degree? or double degree?
I wonder if that is more a consequence of your specific university spam
I don't think math is a particularly introverted subject anymore so than anything else... maybe the people who do it are more likely to be introverts but in terms of the amount of social interaction it doesnt seem too much lower
Maybe yea
Usually majoring in one and minoring in the other
Or we also have a combined degree
Some double majors but since we have a combined degree that combined degree is more common
do math students really have much social interaction?
what's the combined degree's name?
Math & CS lmao
that's very straightforward
Indeed
I mean... yeah? Why would they not
yes
guess I was too isolated in my undergraduate life
yeah thats sad to hear
I spent so much of my time in undergrad around people
Would work in the lounge and talk to whoever showed up
And it's not just existing in a math building but then when I meet someone I stop working and chat. Often the convo is about math
i socialize a lot with others in my degree as well
Like hey cool theorem I learned or here's some problem I'm thinking about or oh tell me about this topic
And we'd do math together and... The banter is 
What degree
but still not enough social interaction with people from industry right?
I mean in a degree such as CS I can build this more conveniently right?
I wanna go into engineering but not a social person so I dont know if Im screwed
uh, where are you expecting interactions with people in industry while doing your degree?
thats probably something you have to take care of yourself outside of the academic part
tfw you're searching for you glasses and touched the lens
Hi! I'm new around here, adult, strong math background (dad's a prof, little bro's a prof, i decided to drop out and engineer instead but the love of math is in my bones) How's everyone doing? And what's the general i donno... "what goes in what chat room"?
I'm still trying to figure out if this is a bunch of students? college students? professionals? retired profs? 😂
It's quite the mix
very diverse cast
oh wow so i'm the old pro! (hahahha)
(most in the abyss known as #❓how-to-get-help)
sure, that's some of it
(also KIDDING. i dropped out.)
there's some older people here as well
(But I'll probably go back to get a PhD when I retire from the startup world)
Boomers 
I'm just barely "not 40 yet"
Cool well.... Hopefully I'll be around here, if anyone has questions about signal processing (specifically audio) and array math, I'm a bit of domain expert. Otherwise my only real contributions to mathematics are more art related (and scientific computing/numerical HPC shit. I LOVE THAT.)
I'm here to chill out, talk with other like minded people who might get my jokes, and hopefully learn a thing or two. I'll tell you in advance that "No, I don't want to help you with your homework". (that goes for everyone. my bro and dad are both teachers. I don't have the patience.)
Feel free to ask me if you ever want a fun problem to work on (like, not homework). I also have strong interest, ability, and access to HPC and was a VERY early adopter of "experimental mathematics".
Oh and also music!
Oh right, also, I almost worked for the MathWorks and as a hobby I like embedding MATLAB and Mathematica where people least expect them. In 2005 I made a MATLAB chat bot 😄
Finally, if it's not painfully obvious, I have very good and well meaning intentions, but am apparently way out on the spectrum to a degree that I piss some people off so I shut up now. ^_^
WOW I didn't realize how painful this chat client is!!!! this will be challenging. OK I should go back to work ("sign up for discord" was on my chore list for today)
But hopefully I'll be back and, probably help ppl occasionally and hopefully find someone who can help me or nudge me to publish results sitting around for ages
what sorta results are you sittin on
(specificaly, I need to chat with someone witha rock solid understanding of frequency domain higher order statistics, bispectrum, bicoherance , etc)
Imao I used Matlab too and done startups also ...
I also do math art ...fractal stuff and hobby graphics in my own pure python library
Nothing that impressive, I found a bunch of really interesting structure in the roots of polynomials with coefficients taken from specific finite sets. Like, really interesting. Enough that my "real research mathematician brother" (algebraic number theory) said we might have something to write up. just a one or two pager. Not
Same! Except it could never work in python, so I use the part of my brain that knows how to write high performance numeric code,.
I wonder if I have a few handy. Forgive me these are from more than 10 years ago. Gotten much better since then.
I was running into computational limitations of MATLAB so I just had to bite the bullet and write the whole thing from scratch. Was fun actually and I learned a lot.
I started with python was forced into Matlab when helping a PhD candidate with his thesis
Don't worry I'm in the spectrum too
Used to be HS prof BTW got one publication in a local physics journal
mad props!
I'm curious to know if you have any tips on how to memorize all the math you've learned. I'm having trouble remembering the steps to solve equations.
what sort of equations
Pretty much every subject in Algebra 1
I’m struggling to remember the steps to solving problems
like the quadratic equation?
Yeah
do you know about completing the square?
Yes
personally i think i remember things better if i understand the details of how they work
but also there are study methods that they say help psychologically
like supposedly writing down notes helps memory better than typing? ive heard
I don't memorize anything math related, never have. It makes me slower on tests but if you understand it, then each time you need to use it, you can figure it out again. (also each time it gets faster). And yes, I still don't know the quadratic equation 😄
On the topic of actual advice, it has been shown that the act of writing things down does help memories form better.
But I think you'll be better off in the long run to not memorize anything. Then, when you face something new, but similar to a problem you've understood before, I think you'll have a better chance than others who are looking for an equation to "plug and chug" (as we used to call it)
i suppose its like compiling source code, when you put it that way
Yeah that helps me out a bit sometimes but when I’m taking tests I can’t really rely much on those
Ig ur right
.
Just found out that apparently Dan Willard passed away last month, he discovered/invented weak systems of logic that can prove their own consistency without violating Gödel's second incompleteness theorem.
RIP to a real one
Here is his obituary
https://www.legacy.com/us/obituaries/timesunion-albany/name/dan-willard-obituary?id=39097521
I would like to ask, is there such thing as online math competition? If so, how would they prevent online cheating??
yes and no
What do u mean
Yes to the first question,
No as in “you can’t really prevent cheating” I assume
;-;
There are already a lot of math activities irl
It's called a school
With local regional national competitions
You won't really be missing much, though if you like online communities go for them
I'd rather spend the time on learning uni maths rather than competing in precalc stuff, but it's a choice
https://open.spotify.com/track/2VsGRUMax7tiu2tsKlIrpc?si=1334c7915a6b40e8 i got depressed listening to this....
sorry spotify is cringe
it would be quicker to write things from memory than derive from understanding
especially in a test setting that tests memory more than intuitive conceptual understanding
Crystal memory and fluid memory huh
pass your tests, a few months later forget it all and be unable to figure it out from scratch or a few prompts
Sometimes having a good muscle memory feels good
depends
on
what kind of test it is
well yes
like, some problems require more ingenuity
yes
Memorization is useful though
what is useful?
wut
look!!! :3
Bruh these new helpers
I mean they like to give away the whole answer
Theyre like here you go just take it and shut the channel off
The only reason I love the help system here is that the rules mention, "if you are providing help to others, try your best to explain and elaborate instead of simply giving away the answer"
that's definitely not cool and as you said, not honoring the rules.. may want to discuss in #「helpers-lounge」 if it's happening routinely
I dont have access to that
What channel is that 😦
The only reason Ive stayed on this server is that you dont need to give away answers like, yeah here you go * screenshot of whole answer *
Its only for helpers in help channel (those with "helpful" like you)
Helpers in help channel?
seems like a helpers-oriented topic no?
Yes, but others cannot access it
Only those with the helpful role can
oh, Helpers doesn't give you access? i didn't know
Whenever Im free I help people around
And mods and administration ofc
But I cant stay
like
online all the time to help people to get that role
Im a student whos got to study and do other stuff too 🙂
Yeah just see the forum channels
Forum posts I mean
@split pawn if there's a specific person who's doing it routinely you may want to mention it in modmail.. they can decide what to do, if anything
Esp new members
Which implies
They dont read the rules
They just
Put in answers
The help channels are better because I see that Helpful people are regularly active there
And
They wont let someone do that
Altho in forum posts, I dont see much of em around
yea, i think only a subset of helpers are actually looking at the help forums
the mods themselves say the forums are a work in progress
but they are apparently also the future
Haha like me
Forums are awesome
But kudos to the team who made the help system here
Its really neat tho
i think both could coexist reasonably
help channels for relatively quick real time help with relatively simple questions
Ive been a member since 2021, just that I left in between and have this Aug 22 date lol
forums for harder problems that need specialized help maybe
apparently the issue with the channels is that they don't scale well as the user base grows
Well, advanced problems can be sent into respective Adv, Math channels
due to discord limitations
Yeah...
Theres a lotta math servers Im in and I dont help anywhere at all unless I feel like it
Because
Theyre like
Hey just gimme that answer and go do your work
totally fair, no one should ever feel obligated to help, it's totally voluntary
Yeah...
and some users definitely expect to be spoon fed
Yup yup.
Thats not my thing
Ill just like
Guide someone who needs help
And leave him to figure out the other steps
If I see he really doesnt get it
Then I may go. step by step
and still make them do some basic steps themselves
yep
people learn better if they have to do at least some of the thinking themselves
they = we
Yup
We all.
Its better to let ourselves analyse and progress through the steps onto the solution rather than getting that ready-made bunch of steps
Hes just gonna see 7.1 s and boom. There you have it.
(Its not my job to tell these people to actually have a look at the rules and not give away solutions like that, altho i told a few)
yea, i'm in the "not my job" camp as well although i'll mention it if it happens while i'm also helping the same user..
Haha, same
i think there are enough helpers that if someone is doing this routinely they're eventually going to get schooled by one of the helpers who do consider it their job, and there are a few of those
pretty sweet B)
loool
Yep
yeah lot of people hate ai art but idk. I'ma continue using it sense it's fun
I post it continuously on my social handles
Whose cat is this.
Which one of these is real. Tell me,... hehe
2nd?
None.
Yaah
what do you all think about creating your own notation for some operators/functions?
Bad idea 👍
Generally stupid tbh
I agree, my friend and I had a debate about this lol
People already developed notation so unless you're one is quicker and more efficient then no. I mean the education system and the workforce aren't gonna suddenly change there maths notation
For things like computer they develop simpler looking symbols sometimes
It depends. I recently had a situation where I needed a cons and a snoc operator. I ended up using \triangleright and \triangleleft, and I think the result was quite readable—certainly more so than if I had used a named function.
And, of course, there's the whole field of people working on string diagrams, which is all novel notation
Does anyone study at TIFR, Mumbai here?
Decisions out today 
Can you plot implicitly defined functions in Excel? 
Uhh see
I don't speak computer science (I am lazy)
Excel is nice because I can just make a table for my 5 parameters and then do a bunch of math on those and if I want to see how things change I just change my initial parameters and it dynamically updates so sexily
No I meant like
apparently you can load excel into jupyter?
They don't have the same visual mess-with-me scheme that Excel does
I have to write everything out and :shudder: is ugly
Excel I just click box beep boop
Yes but Geogebra can't solve a system of equations and label them as values 😔
geogebra 
Geogebra 
I need to solve a linear system (3 eqns, 3 unkwns) then use the results as parameters for a function then plot the function
my fella you should just need to use jupyter and mathematica
https://jupyter.org/try
so it 🔫 . If you're really cool and it's really good notion people might start using it
do it*
people might not, and people might fight you on it. but ya know if you see something that needs changing and you're passionate about it, if you can gather a community to push for it to be changed, then it's up to you to be the change you seek to see
like idk it would be really cool if we collaboratively changed some notation to be more intuitive
one sec
Alternate notation for powers, logs, and roots.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
(This is the corrected version of the one I put out a month or so ago, in which my animation for all the inverse operations was incorrect)
Here's a sketch from...
that's if you're trying to change the world though, If you're doing it just for fun though then whatever but it's just going to be confusing for everyone else if it doesn't catch on and then you're going to have a spend a lot of time changing it
ooo you know what you could do, become a professor and have a bunch of professor buddies and convince them to start writing your fancy new notation. and then it could be just like any other alternative notations. like how theres \dot{y} and y' or blackboard short cuts that everyone knows
did you get the idea from Richard feynman customs trig functions?
there are some non-standard operations which have their own notation like the vec() and diag() operators
first one takes a matrix and transforms it into one long vector and second one takes in a vector and transforms it into a diagonal matrix with entries on the diagonal equal to vector components
both are linear operators so they're interesting on their own
Ah, the hadamard product
What is mathematica ?
software to do complicated maths
What is the amount of time before a rock with a mass of 32 grams falls into a river below a cliff if the cliff's height is 100 meters and the gravitational pull is 1/1b
!help
Please read #❓how-to-get-help
How necessary is algebra 2 in precal
Super necessary
Damn
PreCalc will be hell without Alg 2
@rich ether @void tundra i honestly doubt discord makes a lot of money with nitro, especially considering they keep looking for new ways to monetize the platform
its also very clear to me that their priorities when it comes to development are wrong, not because the app is buggy but there are way bigger issue that will turn into a big problem any day now
the way discord makes money is via "command capital"
yeah by having a shitton of users
they have a giant userbase and they can move it to do things either implicitly or explicitly
im very unaware about this kind of thing
when was the last time they had a cash injection tho
i just assumed they were doing ok
controlling such a huge userbase is valuable anyway, but not directly in the monetary sense
I heard tencent took a stake in them or something
this is is why musk bought twitter
twitter doesnt make money
its valuable because you can "command" such a huge userbase
alternatively it only has to seem valuable to attract investors
and you can collect a ton of data that might or might not be valuable in the future
didn't twitter lose a shitton of ad $
not directly
but you shouldnt underestimate it
We train the algorithm to train us to serve the interests of its owners. The more we do this, the faster the algorithm learns how to help us train it to command us. As a result, the owners of this algorithmic cloud-based command capital deserve a term to distinguish them from traditional capitalists.
where's that from
Second, the same algorithms that guide our purchases also have the capacity surreptitiously to command us directly to produce new command capital for the cloudalists. We do this every time we post photos on Instagram, write tweets, offer reviews on Amazon books, or simply move around town so that our phones contribute congestion data to Google Maps.
TIL "command capital"
someone could buy discord and inject personalized ads at any point
and even without that, the giant heaps of data could (or already are) useful to train whatever machine learning model you have
you could also push an agenda to people via discord and they wouldnt even notice
this is happening on facebook for example
ew
yeah I feel like we all know about zuccbook by now
but yeah, discord is very close to commodifying friendships
isnt capitalism great
absolutely wonderful
actually they might have deleted some stuff
one of the users were complaining about how
their university had "too many south asians"
yes i thought u were referring to that
i can see what you mean
its just classic "too many east asians everywhere" rhetoric
i think its more corporate greed than anything
even if they made a lot of money, they would still be looking for ways to make more
capitalism
i mean sure, but i still think they arent printing money or anything
All companies be like :
they are also making very bad long term decisions, but this is true of all big companies
i guess so, the platform is big but who is buying nitro
there is no valid reason to buy it
im buying nitro for higher quality streaming
fair, but since i dont use that feature for me customizing my profile isnt enough
discord offers pretty good streaming and voice communication
at least for streaming i havent found anything better
im buying nitro by
emojigifs and nachoemotes 
yeah thats true
i guess skype doesnt cut it lol
but yeah, they should give me nitro for free
after all i am providing labor free of charge 

lol
nah as we all know the privilege of being a discord mod is
worth more than money
discord mods are more powerful than the president of the united states
in their heads, yeah

Btw, have you guys ever gotten a lower grade than you scored on the exam because of your attendance? I got 8/10 in Computer Science 1 despite acing the exam because I havent been to class since day 1 lol

RIP my gpa
Hey
hi

cool ppl reside here when times get turbulent in dis1
ive got a directed study planned this semester
Police Officer Vani is here, no need to fear 
and its with an analysis prof so id imagine hed prefer smth along those lines
That's nice
So what are u going to do then ? Any ideas ? 
im considering either diffeqs or diffgeo but im looking for more ideas
Is it real analysis prof or complex analysis prof ? 
diffgeo sounds fun
i'd go with diffgeo
yeah
Perhaps u can narrow and create more ideas based on that 
diff eqs probably might be too similar
also depends on what you're looking to get into for the next few years
@void tundra why do u never like me :'(( u sully me and bully me :'((
i mean i have a vague idea of what math i need to do
sorry accidentally sully
Oh, what math is it ? 
everything related to lie groups and diffgeo for now
but both of them are idk
theres other profs that do prereq courses for those parts
if hes okay with doing either then thats good but im looking for other ideas for now
Perhaps something about manifolds and topology related math then that also falls into a bit of diff geo kinda ? 
yea i guess
why not do number theory? 🙂
do not listen to the whispers of the forest for they are faes
the queen!
More Energy/Time 
grass has grased us with their presence again
well I meant to say grazed
but that typo is too beautiful
touch grace

No Timo^2 :(
Could someone help me with Google Sheets?
Do diff geo
Coz that's further away from physics than diffeqs
Especially given your level :))
Just stay away from Riemannian diff geo
I think you should do Riemannian diff geo
You should host tea parties in a simulation game
the equations in diffgeo..... theyre diffeqs........... spooky....................
vrchat tea party
cute
what happens to the floating hydrogen ion after its bond get broken?
huhh
its hyperconjugation
effect
im asking what happens to the hydrogen ion, does it just keep floating there?
proton -.-
Well I guess with a solvent that is polar enough,it will kind of exist?
Either that or SN1 is a lie
So an E1 reaction?
So I have probably an insane question, but, does anyone know how many universities give out math PhDs? I think the number has to be somewhere around 500 or so just in America alone, but I can't find any hard numbers on it.
hm, https://en.wikipedia.org/wiki/Graduate_science_education_in_the_United_States says
There are 282 universities in the United States that award the PhD degree
the source is not available anymore, but still
That's fewer than I thought. I also know of several schools that give some PhDs but not math PhDs.
What about Europe?
Im not sure what the top universities for math in Europe are
I assume the ones from UK?
theres only 2 in the UK that are on an international level in my opinion 
i mean there are other good ones
but there are also other good ones in other countries too
Cambridge and Oxford?
yh
i mean warwick isnt far behind on math iirc
and theres london unis that are fairly good
but in terms of average standard of the top unis, i dont feel particularly good about UK from what ive heard
Compared to other countries
I researched Cambridge a bit in the past, the tuition is
and even if I got in I dont think I could afford living in the UK
and getting stabbed of course
just a random uk joke
they do offer scholarships, but there are no criteria listed
so idk how you could even get one
Def not really in central cam that much (and as a student, you’ll never be too far out of central cam)
My teacher hasnt gone over over the law of sines and its in the review should I just go ahead and learn it myself
if you're preparing for a test and feel ready otherwise, sure go for it
maybe it was left in there from a previous class and wasn't updated to be completely accurate
But I dont want my teacher to think im cheating when im cearly showing work
This what ive done so far
why would they think you're cheating
if they ask just say you studied ahead - because you did
Because we havent gone over it as a class
But i like getting ahead
send your teacher an email asking if it's ok if you're really paranoid
The thing is, im trying to finish the review before I get to the class which is in 3hrs from now
But I dont know if the teachers absent
My teacher said knowing sin/cos= tan was a "hard thing" when i already knew that lol its like I dont belong in precalc and shouldve been in calc tbh
(o/h)/(a/h) = o/a is too hard for a student to have figured out on their own even.
Right.
Well Ive already watched videos on trig before I did it but that was months before but so far it hasnt been hard at all
The only one I dont know as of now is writing a general solution for trig equations but the "class" isnt there yet
That was the teachers word not mine
I’m making a bit of fun of your teacher
It’s not aimed at you
Does a high school teacher even need a bachelors in math or like an associates because he does explain it well but he not teaching at the pace I want it to be
Just curious
Not in some places iirc
depends on where you live I think, but I don't think it's a requirement for them to have a bachelors in math
I know where I used to live it wasn't necessary
teacher has to pace to the whole class, not just you, can't leave everyone behind
So an "average joe" can be a hs math teacher as long as they are decent at math
The teacher hasnt gave us a single lesson in 2 weeks which frustrates me a bit
I don't think so, they will usually need some kind of qualification
But they are a good teacher he cleared up some gray areas for me
But this teacher is also a football coach so I dont know how that works
lol
ask him after class, say you don't feel challenged enough and was wondering if he has any harder problems for fun or something
Im not the speaking type
And he already knows I have a history of being ahead
you sure about that? you seem to be speaking to me quite a lot lol
In person is different
This is a chat app
just imagine that their face is just the fuchsia (?) in merosity’s pfp
Indeed, as rank 2 in the last 60 days, I am not speaky irl 
Is music essential to everyday life?
as a person with 30 gigabyte music folder containing 4600 files, yes
just why
why not use youtube+adblocker
works fine for me
because I have over 5000 liked youtube videos and like a third of them is gone because of different reasons
moreover youtube's standard playlists suck
wdym?
the alg
i just...made my own
u dont do anything and itll loop u
not available offline
i mean its social media its supposed to suck you in like a void
well they aren't permanent because youtube videos aren't permanent
youre right, i just never really cared that much about the songs i listened to i guess lol
does anyone
pencil and paper
You know how like a lot of math we learn in undergrad has some sort of application that other fields and sciences and studies find useful
What's the "least useful" mathematics topics out there?
onenote using a tablet
well switching to latex tho sooo
what tablet?
its a drawing tablet
in hindsight
an Ipad with a drawing pen is like
perfect
get that if u can
way better than a drawing tablet
last semester I had an ipad with drawing pen and it was sooo nice
lost the apple pen tho and they're really expensive 
yeah they are amazing
wish i had money to buy one
my learning experience would be a lot better
oh dang
anyone ever tried the surface pro laptop if it's any good?

@deep mango I'm going to sleep 
it's 2am rn so ig if you guys agree, the announcement will have to wait till tmrw 😭
good night 
Good night 
What announcement
How do I get better at telling what spaces are separable (or not)?
i.e. bounded uniformly continuous functions on R, or something like all continuous functions that have limits at infinity
if the thing you're dealing with is defined in terms of spaces that are separable, try to use countable dense subsets of those spaces to construct a countable dense subset of the larger space
in the other direction, you can try to find an uncountable subset of points where are all far from each other
oh yea so just like the proof for l infinity not separable
that doesn't always imply separable
yeah
like, this subset exists for all the lp spaces
but it's a useful place to start for showing a space is nonseparable, even if it doesn't imply it directly
o wait
yes if its uncountable it does show its nonseparable
nevermind
i was thinking countable
why do we care about holder continuity
was just mentioned as a side note to a homework problem
"Note: This fact justifies why one only considers H ̈older exponents up to 1. (Recall that f is H ̈older
continuous with exponent α if there is C such that |f (x) − f (y)| ≤ C|x − y|α for all x, y.)"
where does it show up
It's one way of understanding what it means for a function to have "a fraction of a derivative"
It shows up in a lot of places: PDEs often have solutions which we can show are not just continuous but are holder continuous, in probability brownian motion ends up being nondifferentiable but holder continous (with alpha < 1/2), holder continuity has an interesting meaning in terms of fourier series as well
trying to think of more
Wait hmm so
ok so maybe something i might see in a later class
fractals oftentimes end up having properties of holder continuity instead of differentiability, like weierstrass's nowhere differentiable function or the koch snowflake
You know when they say you're in C^{2.5} it means C^2 + second derivative is 1/2-Holder continuous?
if you learn more analysis, youll end up finding out that holder continuity is a really good way of saying "this function has a fraction of a derivative" and that that notion matches up well with the other notions we have of fractional derivatives (sobolev spaces, fourier transform derivatives)
yes
And how there's also fractional Sobolev spaces which I think can be defined in terms of Fourier? I'm guessing that oh differentiation multiplies by x so we want the Fourier transform to be something you can multiply by x^{1/2} and still be in L^whatever
Do these ideas coincide?
(i think most people would say C^{2, 1/2} to avoid the issue of C^{k, 1} not being the same as C^{k+1})
yes
so
they're not exactly the same
but in some sense these are like the sobolev spaces for p = infinity
for example, W^{1, infinity} (the space of functions whose weak derivative is L^infinity) is just the space of Lipschitz functions
but idk how people define W^{s, infinity} for s fractional since fourier transform of L^infinity is not good
I see
like on periodic interval, L^infinity is a subset of L^2 so fourier series are still L^2. but they don't converge uniformly
so idk
Rest in rip
ok it's just holder continuity.
if you throw in p = infinity there
So these are "basically" the same way of seeing fractional derivatives, that's good
yes
Cross out your grader's name and write "skill issue"
Fractional sobolev spaces 😍😍😍
Sometimes in analysis people will just be like "then holder" when they're referring to literally any inequality that involves integrals of functions
Holder, cauchy schwartz, youngs convolution, hardys, minkowski, sobolev
Not really sobolev i guess
It's annoying though
yeah these inequality things always pissed me off in analysis
didnt like learning them
let $R$ be a ring and $f : R \to R$ a ring homomorphism. we define [ \int_R f = \bigcup_{\mathfrak{a} \neq R ~\text{ideal}} \bigcap_{(0) \neq \mathfrak{r} \subseteq \mathfrak{a} ~\text{subring}} f(r) ] and [ \oint_R f = \int_R f \cup \bigcap_{(0) \neq \mathfrak{r} \subseteq R ~\text{subring}} f(r) ] eg for any field $F$ we have that [ \int_F f = 0 ]. I conjecture that $\oint_R f = \int_R f$ and thus $\oint_F f = 0$
ryc would u like to deal with this
you're asking for my intuition on something ive never seen before
it seems obvious but I'm lost in notation
well im lost on your first line
in plain words, what are you defining that integral to be
I have to say, this is absolutely cursed https://i.imgur.com/AUtm5Ki.png
where does the text break
can someone help me decode something?
in general we have $\oint = 0$ for any char 0 field
because you can embed Z into it
I have no idea either 😭
I saw it written in the stars
huh
ok so f is a ring endomorphism
We take the union over all proper ideals of (the intersection of the image of non-trivial subrings of the ideal)
Ok no, which subject are you even doing for gods sake
i barely even have intuition for subrings in general ring theory for starters
theres some integral signs
arent u drooling
from how its notated looks like topological rings?
if thats a thing
measure rings?

lol
isnt that like usual








