#serious-discussion
1 messages Ā· Page 481 of 1
Ok Valerie you tried
82/3?
yes
I had a blind history professor who could tell you what day of the week any given date was
Best history professor ever
prob just did some method
how long did it take him after asking
Hmmm
to answer
ik
What was 19th of August 2020?
moonday
Nope
No
x=4?
?
thats the answer
Yea yea
how old r u
Why, do you mean to hit on me?
have u taken the sat yet
I'm not in the usa
oh
I'm older than that
Ok
Do you even know how big a billion is?
how much older?
everyone will be bilionaire there will be a big inflaction or something
lmao
*inflation
thanks for correcting my grammar mistake
yw
who is welcome
hi carla

Zimbabwe moment
i have obtained the sacred texts
yes
Are you one of those weird fishers?
yeah š
nice
How do you prove that a specific function is continuous on its domain? For example 2^x with domain R?
cant you do that with a derivative.... or a limit.... somehow?
or perhaps more creatively with an integral
Epsilon delta
Depending on the context one could use the epsilon delta formulation of continuity or the limit definition, both of which are the same, it just depends on the amount of rigor needed
I mean in general given an explicit function you have to just show it pulls back open sets to open sets. It suffices to do this for a basis of the target
It just happens to be that in this situation thereās an equivalent way to do it via epsilon delta because metric space
I've been out-generalized š¦
generalization is overrated
Sick ok yeah thatās what I was asking
But how do you do that explicitly? Like if I told you to prove that any polynomial from R to R is continuous, using the topological definition of continuity, could you do that?
Polynomial functions are polynomial functions
yes
but like
it quickly unpacks to a more metric-biased definition
once you start laying out what makes a set open in R
since, you know, thats based on metrics
Wdym lol
Oh you mean it would eventually just become something equivalent to epsilon-delta
roughly yeah
That makes sense
yea
anyone wanna collab on yet another applied math blog or something, i am an amateur
Yet another?
yes, there are many applied math blogs out there
at this point, math + comp sci is practically pop sci
Yeah
What are the current ones?
google? first result: https://blogs.ams.org/blogonmathblogs/category/applied-math/
y
see I used to think that, then I matured and I set realistic goals
so I'm thinking more in the 100M range
Anyone wanna see some memes that only highly intelligent people would understand?
I just thought they're funny because I'm kinda smart
Not to brag or anything
Oh so is that a yes?
pain
Did you see it weirstross?
yes i saw it
it was also not hard to deduce what the intended answer was if i have it right
Does anyone know if it's possible to make the "cited by" text in google search results clickable like in google scholar?
I remember there's a time where they contain a hyperlink to a page where the papers are listed.
It's possible I suppose by changing that area to find that specific article's citation ID thing-page but I don't know if the API/interface supplies it there and then. If it does not, you'd need another call to find out the ID and then link it
And I have no clue if this is allowed by the API/TOS
damn, what a shame
@iron copper yes, just look up the file on google scholar
oh oops you already wrote that, i pinged you for nothing
tfw nazis in east germany are preparing for civil war due to what is happening in austria 
what is happening in austria?
mandatory vaccinations
high ranking army officers and police are asking the people to fight back
so talks of civil war there as well

this shit is insane
i wonder wtf is wrong with german speaking people
that they are so much against vaccination
Wait what
the vaccination rate in germany is still 70%+
any stats
wow that's really really low
getting accurate stats is hard
Is it?
yes
its legally not allowed to record stats officially
so its educated guesswork
but its pretty low in german speaking countries apparently
I mean why did he consider it so low
What about anonymised or self-submitted surveys
I expect a lot higher from developed countries
People will lie and most wonāt fill it out probably
surveys report higher rates than what official institute guesses
Loch, do you know what's the diff between MPI Bonn and MPI MiS
i.e. my uni did an internal survey which reported 95.5% vaxxed
In my country, we have a app for all this
So itās easy to know who is vaccinated and who isnāt
they are different institutions
Like I just realized people didnāt have to have an app on their phone to enter closed areas
There are people that don't believe statistics because there is still a chance that statistics is not correct and its just a coincidence. Even on this server, not gonna point at people though.
@neat lintel 
the mpi mis is in leipzig
what country r u from?
Is it more applied?
we also have an app
@neat lintel
The biggest country in the Middle East
considering it is called mathematics in the sciences, i assume so


venti call me stupid but is that india
but like, lots of people got vaccinated wherever
No
and there is no official stats
India is not considered part of the Middle East anyways
There are valid reasons to distrust statistics. It's why actual data like hospital bed usage, ICU usage, emergency services usage, etc. are important
and the government isnt allowed to collect medical data for no reason
also not the largest country
Not according to video games
India is the 7th largest country
Bruh 
Itās KSA 
You should totally point people out 
gets pointed out
who want civil war (mainly for other reasons)
i thought you meant by population
funny dp
That's surprising considering BioNTech being German
Kingdom of Saudi Arabia šŗ
nah size
luna did you see what happened to #discussion
?
thanks
i honestly wonder what caused this
i'm just gonna come out and say that, coming from a third world country, i expected europeans to behave in a more civil manner lmao
maybe a milder first wave
so lots of people still didnt have corona happen in their social circles
I love being able to say my country had the best response
Nope. But I will go check it out now
Even tho there are still things donāt enjoy about it but at least they care about our safety
or if people here are more vulnerable to fake news
or more mistrusting of the government
I know 2nd-degree away someone who got it
italy and portugal were hit very bad
and they have very high vaccination rates now
germany had like no cases a year ago
š
what the fella happened in discussion

I can't believe how close to being done my semester is, and how close we are to the year 2022 already. Jesus Christ.
ikr
I finished one exam today. Totally bombed it

I guess my prof will find out how much of an impostor I am once he gets to marking it
To be fair that might be because of continued covid precautions
But /shrug
yeah
I also finished my exam today
Although prob not comparable to urs lol
Beat that test up
nice
I only have like two exams, and both of them should be easy. I do have a presentation I'll need to do though.
Also my course schedule next semester is looking like the best schedule of courses I've had so far.
Good luck e
Today was the final of my finals

oo
Now we have a week break and go back to schooling again
Worst decision ever made was this new 3 term policy for all schools
Our summer went from 4 months to only 1
4 month summer holiday??
About 4 months
no break is 4 months
Depends on Ramadan
4 months is what summer break felt like in elementary school
Last year was more or less 4 months
Corona helped
I think
I think 4 months is too long
4 months!?
Going from 2 long terms to 3 terms and year long school
and here i thought phineas and ferb had a long holiday
My semester this semester ends early and next semester will start late so I'll be getting a weirdly super-long winter break.
104 days of summer vacation and school comes along just to end it
No i dont want to remember the song rn
im currently listening to hamilton
no other music during hamilton time
It was a weird 4 months

So the annual problem of our generation is finding a good way to spend it
Honestly everything in the past 2 years feels like a lucid dream
Like maybe...
Building a rocket
Or fighting a mummy
Or climbing up the Eiffel Tower
Discovering something that doesn't exist (i.e. doing math)
Or giving a monkey a shower
Lolol

Surfing tidal waves
Creating nanobots
Or locating Frankenstein's brain (It's not over here!
)
Oh shit I've got to run to breakfast, my commalg meeting was pushed from 1:00 to 9:00 so I don't have all the time in the world


Have a great day
guys, what's the worst field of math
Arithmetic
that's not a field of math
wdym?
how would you call the math field that deals with expressions with numbers
without variables
I guess... but honestly I consider arithmetic just a subset of algebra
arithmetic feels unlike math tho
like, it's just computation
there's no actual discovery of general rules
or maybe that's why it's like the "first" field, cause that's the field from which all generalisations come?
the worst field is any of characteristic 2
The worst field of math is commutative algebra

why?
isn't there just one?
Everyone talks about how they hate learning it and find it so boring
why's it boring?
Its just like
I guess it makes sense. People hate commuting
A toolkit for algebraic geometry
I guess it doesnt even really count as a field of math
what do you learn in it?
any field extension of F_2 has characteristic 2
It means when you add things to themselves that many times you get 0
you learn about localizations and then you keep on spamming it
So in characteristic 2, everything added to itself is 0
smallest positive number p such that 1 + 1 + ... + 1 (p times) = 0
or 0 if it doesnt exist
oh so do fields like R have characteristic infinity?
0
Anyway commutative algebra is all about the theory of commutative rings and modules.
its an active area of research tho
It exists to serve other fields

Is it really that active
is there anything from it I'd understand?
but it was invented first to do algebraic number theory, now to do algebraic geometry
not sure if active
but if you really hate analysis and dont want anything to do with it ever
it was invented for alg nt?
you do research in comm alg
only posting emotes in chat is a power move
i would guess that alg nt people would be happy with just rings
i guess it depends what you consider comm alg
also hey, how come rings and fields only have 2 operations, are there any structures with 3 or more?
but alg number theorists care about dedekind rings and valuation rings
right, haven't seen a lot of module stuff in alg nt yet
Algebras are vector spaces + rings
They have scalar multiplication and element to element multiplication
wait an algebra is a specific thing?
Those are different
Yeah its a stupid name
Then there are *-algebras which also have an involution / adjoint. This is like the complex conjugate in C, or the transpose in matrices.
why are there 15 different things with the word algebra tacked on
Cause they're all algebra
what would you say is the defining feature of something called "algebra"
for me currently it seems to be symbolic manipulation
but like, that's kind of all math
was it HS algebra or like abstract algebra that was called algebra first?
just call them k-algebras to better distinguish them from the field of math
HS algebra
also, algebras can have any number of operations?
late 1800s maybe
yea probably around the time galois did some cool stuff
but was HS algebra called algebra back then?
the first textbook was by van der waerden
Algebra is named after a mathematician
how did abstract algebra steal the name then?
at least popular one
it was called modern algebra
because it was like algebra but better
Cause its a generalization of algebra
You still do the same things sometimes
I thought algebra is just about moving the number or variables to solve
Like dealing with polynomials and stuff
math needs like a notation and name reform. we need to start using tau, and stop calling things by the names of the 2nd people to discover them.
Yes everything needs to be named Gauss or Euler.
I.e moving the number from left hand side to right hand side
I prefer Poincare
or name things after what they do .
Then we change the positive/ negative sign
i heard that hilbert didnt even know people named certain spaces after him
like call eulers formula, the complex rotation theorem or something
that's HS algebra
until he sat in like a project and asked what hilbert spaces are
That is a very funny story. He found out at a talk
is that real?
yeah lol
i don't mind as long as the name is easy to say... Grothendieck is too hard
Of course people don't name things after themselves so it's not that weird.
I'm not math enthusiast lol
i assume his name isn't pronounced growth and dick but that is like the only way I can imagine pronouncing it
oiler is so nice
so 1 syllable = win?
Euler
oh that makes more sense
i hate how most people pronounce euler
growth and dick
its oiler not uler
Yooler

so it's deck and not dick? good to know
Uhl urr.
Apparently it's not even hilbert it's Hilberrrrrrr
Gaubeta.
is it groh ten deeck or groh then deeck?
Wait German names
it definitely is hilbert
hilbert
with a pronounced t
is hilbert
It's kind of a mix det
The t is a bit weak
like "th" in thought?
Wiki IPA [ĖdaĖvÉŖt ĖhÉŖlbÉt]
the word calculus has something to do with pebbles i think
yeah it comes from calc
hilbert is definitely pronounced with the t
and chalk
you can do grothendieck kinda whatever
Hill burr.
something something using pebbles to count
who pronounces hilbert as hilber
there is a german and a french pronounciation (and english i guess)
Hilbert wilbur. Perfect rhyme
the infinite hotel go hill brrrr
Where my Polish representation at
well the french love just not pronouncing shit
I can't even spell them right except Banach
even though its right there
I felt like such an idiot saying Fourier when I was at the french summer school
I definitely said both rs usually
four-ee-yay
Or at least the middle one
Four rear
It more like foo-ee-ay than four-ee-ay
Its just a french r...
something something, he's approximately the same
So true moth
fourier overrated 
It doesnt make it less hard to say
"it's just a French r"
the French r:
No im saying foueeay isnt really any more accurate
Take that up with all the french people at the summer school
There is a syllable there
the first r is there though
It just doesnt exist in english
ok I think you're right, I guess my mind just wiped the weak t off lol
Ok yeah its a little mouth gurgle noise
No its just t
i always wonder whether i should pronounce german names correctly when talking english
or do the fake english pronounciation
it's worse when neither of them is your native language
me thinking to myself in spanish "how do i butcher the name?"
I think you should tbh, I always try to pronounce names as accurately as I can. feels disrespectful not to
i really dont care what people say as long as i understand them
you set the bar too high already
I highly doubt grothendieck of all people would be a stickler for accurate german pronunciation
tfw you can't say cauchy, so you only work in complete spaces.
i am not 100% convinced grothendieck even is a german name
it's a sh sound right
that moment when you have to say cauchy-riemann and offend everyone at the same time
It is loch
it sounds dutch
yall are lucky there aren't many famous Indian mathematicians
Its from plattdeutsch or whatever its called
lol
Saur trie
have to figure out what it means
pretty sad oof
i can only think of like
@leaden skiff ramanujan moment
ramanujan or harish chandrqa
bhattacharya bounds
off the top of my head
idk who chandra or bhattcharya are tbh
bhargava is indian
who are these people?

bhargava won the fields medal for number theory stuff
Manjul Bhargava did some cool elliptic curve thing right
yus
Sadge no one mentioned Rao
which rao
oh yes, i work with that almost every day
idk if he's the same from the khatri-rao product
it seems so
and i guess khatri also counts
I think mathematicians would know more about Seshadri
Narasimham and Seshadri are known for the Narasimham-Seshadri theorem
i've heard about Seshadri constant from other people
what is it?
invariant something something line bundle something something algebraic geometry
hey @pale orchid how far into education are you?
wrapping up 2nd year of phd
how many years of math has it been
in engineering though, so like 2nd year math undergrad lol
Don't worry about it you'll be reading Vakil in no time

also how many years of education will you have taken finally?
bsc was 5 years in my home country, so
5 + 2 of masters + 2 of phd so far. the phd will be 4~6 years
so too many
Anyway I'm like also old, but I'm not even an engineer
so consider me a 1st year math undergrad
Damn, you have a masters
im -1 years of undergrad rn 
that was weirdly worded but like when you're done with college/uni how many years will you have spent in it
my college does 3 years of bsc, and i'm done with 2.5 and i'm scared
tbh
like 13?
damn
11~13
Is this accelerated or just the norm?
edd you probably also went to normal school
the norm for bsc
you get paid for a PhD tho right?
No honours or with honours?
what's a "normal school"?
3 years bsc + 2 years masters is normal
and yes, i get paid by the uni
Locally 3yr Bsc is accelerated
oh
Both really
by bologna standards, i was already a grad student before starting my masters
but unis can vary a bit
ECTs-wise
what's the difference between bachelors and masters.
the bachelor comes first
depending on the structure, "nothing" or "everything"
there are some research-oriented ones where you show up and just... do research
It depends on the field itself lol, but generally masters is a lot more specialised than bachelors
well, my math masters has no classes i have to take
most are like bachelors tho
its mostly wtv
Masters-driven research programmes are nice
math bachelor is a bit more restrictive
also hey edd how educated do you feel
like how well do you understand engineering or math as a whole
and a master thesis takes like 6 months
a bachelor thesis like 6 weeks
so thats a big difference
what abt a PhD thesis
like 6 years
tbh i am left with the feeling that i know nothing
The only correct answer is none of it
i often run into problems because i know i can't solve/handle stuff i would like to
i also often regret doing engineering instead of maths, but it wasn't an option cuz i did my bsc in my home country
what's your plan after PhD?
but i can't say if it would be any different if i had. i'm not particularly good at math
still not sure if post doc or going to industry
wait what's post doc?
frührente
i'm currently hired at a company and by the uni

Does that really matter though, unless you really like math
i like it and i'm bad at it
but does math like you is the question.
If you can do linear algebra it's all good tbh
a lot of the problems i've dealt with so far have boiled down to knowing linalg, knowing how to code, and having someone throw money at the problem (better cpus and gpus and stuff)
is it interesting?
well
the application i'm working on is boring as hell
but the techniques are easily transferable
control theory stuff?
i work with ultrasound stuff rn, but i've also used it on the side for computer vision (stereo vision), terahertz imaging, optics/ray tracing
and some estimation performance bounds in those settings
ah, also radar and the classic "direction of arrival" problems
idk, it's mostly undergrad stats and linalg lol
There's good undergrad stats and bad undergrad stats
And honestly I feel like there are really important things in stats I myself don't know 
Hello everybody. I am Rebecca, I am 15.5 years old. I live in Europe but might move to the USA in a couple years. That would mean I'd have to pick a University there. I want to study Mathematics and/or Medicine. I am not sure which University works better for Mathematics. I am quite indecisive between MIT and Stanford. I've sent MIT an e-mail last year and they seemed nice with their response. I have not been in contact with Stanford yet. Can anybody advise which one would be the best one for Mathematics? Thanks in advice for your eventual reply.
I also documented myself and found that Stanford is slightly more selective, with the percentage of applicants being admitted is around 1% lower than MIT, where the percentage is around 5-6%.
Both schools are extremely good for math, and both are extremely difficult get into.
If you did have the choice, you would want to decide based on other factors besides the quality of the math program - they're going to be essentially equal in that regard.
E.g. MIT can be stuffy about letting people skip the early courses like calculus if you've done those (though they do have honors classes in those subjects)
Another huge factor here is the difference in setting. MIT is in Cambridge, a city with close access to other schools like Harvard, Boston University, etc. That can be nice because oftentimes you can cross-enroll in classes at different schools in the area, and you'll have a broader network of people to meet and learn from. Meanwhile Stanford is kind of isolated. It's not too far from UC Berkeley which is the other great school in the area, but it's still not easily accessible. Stanford isn't going to offer much of a city life, you are somewhat close to San Francisco but not that close. At the same time, Stanford is right near silicon valley, so if you did end up interested in the computer world there are lots and lots of opportunities there.
In general a lot of the conventionally top schools are excellent for math. But you'll also be able to take advantage of a ton of opportunities even if you don't go to one of the very top schools. What's more important than the ranking is how well you think you can thrive and be productive in the environment and community of the school.
To echo what Ryc has said: I think Stanford's program is more flexible and relaxed for the undergraduate program. It might be more affordable to live in the boston area than it is to live in Palo Alto, being near silicon valley tends to drive up housing costs. Ultimately if you're admitted to both there is no wrong choice here, maybe slightly more optimal based on your learning style and environment. Another big difference is do you prefer Quarter or Semester? Quarter system tends to move pretty quick whereas in semester you get more time to relax
Finally, I know that MIT has a deadweek (or at least used to) before finals, but I haven't heard the same thing about Stanford
I prefer save money option. Top schools are not better than average schools by much. Students in America are too excited about jumping into unreasonable amounts of debt.
I share the same opinion, but that wasn't what the question was: they specifically asked about MIT and Stanford
Top schools often give good aid tho
Definitely this, important to keep in mind that aid is a factor but going deep into debt is really silly.
You can see it as the limit case for the binomial distribution
https://en.m.wikipedia.org/wiki/Poisson_limit_theorem
Could anyone help me out real quick? I have a exam practice problem that I found on chegg but dont own it. Could someone msg me that owns chegg
Is chegg actually more reliable than getting help here?
Well it's just the exact problem is all, I re-scheuled my exam for today and I was going over related rates and wanted to double check im doing them correctly
I'll probably leave my house within the hour so going through the process of posting, waiting for reposnse is not the best
Send your solution in an appropriate channel and someone may check it for you
all good i think i have it figured out for now

I mean there's only so many ways you can ask a related rates problem
hello gamer, what is your level?
yes, what if the game is called htam backwards?
it funny I make 3D graphics engine(not really an engine probably call it a framework for games) but I don't play games. The only game I ever took seriously was swtor/pubg mobile.
but that was when I was 14 or so.
Is there such a thing as a "winter break REU"? Or, otherwise, is there any way I could both do something mathematical and interact with people in-person over the winter break? I was originally planning on just reading a textbook by myself this upcoming winter break, but I almost had a panic-attack earlier today over the fact that I'll be incredibly isolated again over the three-day Thanksgiving break.
Yeah, I have a friend that I want to rope into studying complex analysis with me. The issue is that it won't really be super in-person, because she'll be going home and I'll be stuck on campus. It can't be an official reading course for credit, though, because all the professors in my department are busy over the winter break.
Typically the international students are, but most of the ones I'm close with have been stuck on campus for the past few winter/summer breaks and are trying their hardest to go elsewhere this winter.
I go to a mostly undergrad institution, unfortunately, so any grad students I meet with would have to be at a different school.
Yeah. Without an official program, I'll probably just stay on campus, drink a bunch of alcohol and self-study complex analysis either by myself, in this server or with the friend I mentioned if I can get her to join me (though it would be virtual either way)
hi
hi
hi
hi
hi
hi
hi
hi
Can I ask about statistics, like normal distribution subject in this server?
Nice
I thought that statistics doesn't relate much with mathematics.
why would you think that?

Idk, I did not think so much.
When I do statistics, I have a lot of trouble with understanding the problem, what the question actually is.
But the theory is pretty much understandable for me, not for all parts unfortunatly.
understanding the question is a big part of probability and stats
very often it's the only nontrivial part
When I think about statistic, I think more of real life situations, then mathematics.
yeah Stats is an outlier in how practical it is
Sorry, what is the word non trivial?
Does it mean "important" or not?
trivial means like, so simple it's not even worth mentioning usually
like very often 0 or the empty set will be considered trivial solutions to problems
trivial is contextually obvious
cause it's like "duh" obviously they'd be solutions
not obvious to everyone i mean, but if you know about the field youāre talking about, itās obvious
I hate the word trivial
why?
like d/dx (1) is trivial to people that know calculus, but to people that donāt know calculus, they have no clue what it means
because it implies that it should be obvious
So trivial = obvious
and it's like bruh
nontrivial means "hard" or "requires thought"
I mean, it's usually used in contexts where it should be
pretty much
and usually after you understand why it's trivial it becomes trivial
sometimes trivial is used as a technical term, sometimes its used by people to mean "easy"
you should not do the latter
sometimes trivial has a very specific meaning yes
yeah
like, some author of a paper telling me that a proof is trivial is dumb
it gives me now new information
I mean, I think it's fine sometimes. like I think what I said earlier is fine
"trivial solutions" is a technical term
i use the term "nontrivial" mostly tongue-in-cheeck 
like "it's obvious to me so it should be obvious to you"
Bragadocious š
like, its just a way to say that its hard
if i said something like "in calculus, the actual calculus is often trivial compared to the algebra" using trivial for a specific problem seems dumb tho yeah
lol
I only use it when I'm comparing things
i would just use easy, but its fine
if by trivial you mean obvious or easy, you should just use obvious or easy
My statistic book is in language dutch.
I wouldn't be like, telling a kid "oh yeah this problems trivial you imbecile"
most often its used as "follows directly from the definition"
whatever tone you were going for there you definitely succeeded at it lol
but then i just say that
When someone is posting memes:
social credits get lower.
When you help someone:
Social credits get higher

what if you help someone by posting memes
You will gain a complex number on your social credits.
my social credit is now imaginary
My social credit is in the negatives
is it weird to listen to a loud twitch streams and work on calculus at the same time?
I do that
If I work in silence, I get distracted a lot
to small movements and and sounds in the distance.
usually, I work with music that really slaps, so I keep working at high tempo
now I lack of music, so I use streams, to concentrate on my work
i hate it
@neat lintel what exactly do you mean that you lack of music
youāre tired of the songs you know?
soundcloud gives pretty good recommendations
thank you!!!!!!!
im going to listen to Camelia - Burning Aquamarine xd
omg I feel so active
e.g. trivial zeros of the riemann zeta function
because if not you'd have to say something like:
"the zeros of the riemann zeta function that aren't even integers" instead of "the non-trivial zeros of the riemann zeta fucntion"
Other times itās used by my analysis teacher to refer to pretty much anything in the analysis class
Today he said there was nothing extraordinary about analysis 1, that it was all simple common sense
As we were proving Taylorās theorem
And in a sense I guess heās right
But it makes struggling to do the exercise series far more demotivating lmao
So i made a calculation and the result was 4!
What was the result
well, i can say that i think that is bad
but its a small part of the whole teaching thing
I donāt think itās meant as a flex he probably doesnāt notice it
But the rest of the time he gives a lot of intuition on a lot of stuff and makes plenty of mistakes when giving proofs
I cannot stress how good it is for a teacher to make mistakes in proofs

sometimes
Some people just say things thoughtlessly
my elementary nt prof made mistakes a lot
and then he went back with red chalk and we fixed it together
Not everyone is trying to get one over on random undergrads
but sometimes we didnt manage
The prof probably just forgets that it was hard
He definitely does not do them on purpose but itās great it makes the whole lesson human
Instead of just having someone read from lecture notes and copy stuff down
Idk if ultra is trolling but I do that too and when I have said I do that people here have flipped their shit 
Well like your prof its not intentional
Thatās cause we donāt like you ryc
me when im lecturing and do literally no preparing at all which leads to mistakes but students love it
Being careless is how you make mistakes come up naturally so that people dont peg you for this
Sometimes I do them placed on purpose but that's pretty rare compared to it just being "whoops, I forgot about this, that's a really important thing to remember"
It's not like the mistakes im making are ones that are unusual to make for a student
who's gonna notice?
students
are they gonna come up with some kinda conspiracy about how you're fucking up intentionally
i am go to notices
Sometimes ive felt like my profs are so above me that they're just fucking around
But idk
in my very first talk i made a mistake in the last proof
as in it did not work at all with the techniques
nobody noticed

Imo the best way to make yourself look human to students is to actually be human
And not to like
what if you are not human
damn i came to class dressed up as a dog
Ok I mean you can pretend to be human too
do you need to be human?
This is why zuckerberg is not a math teacher
I mean like, making mistakes seems good cause it can make the class more engaging and also show the class what some common mistakes are
I connected the best with my profs who showed a certain degree of vulnerability and imperfection and those are the people who wrote my recs, who I did research with, etc
but like seeming human seems unnecessary to me
Meanwhile e.g. Rieffel is perfect in every way and never makes a mistake, but I never connected to him super closely over 1.5 years of classes
I mean if the teacher is t human you may as well learn from the internet
i COMMIT
If they canāt add that personal touch
Because there was never any chance of there being a back and forth
who's rieffel?
Operator algebras prof at berkeley
i am dress like a kat
"quantum physicist"
cat mario
is he famous?
@cold needle
meow meow
yes lmao
also why are the mods the ones shit posting here
why is it garlic on head
hes a cyborg
This is not shitpost this is wholesome post
He's not household name terence tao famous but he's famous in the broad field he is part of
he's math famous
mods are allowed to shitpost
he has become a name that has been said in this household
good nights
rifle
i feel like his name would be known to most mathematicians, not just C* memers
Good night, don't let the cranks in #foundations bite
*most responsible mathematicians
I definitely would not know of rieffel if I didnt go to berk and also didnt have a C* arc
OK I'm actually confused now
wait for the ryc bomb
A C* algebra is a kind of mathematical object. Examples would be the set of nxn matrices, or the set of continuous functions on [0, 1].
it's a thing in math? wow I never would've guessed
They're really important in quantum physics (if you know for example the uncertainty principle, it comes from broad properties of quantum mechanics that are realized through C* algebras)
theyre also important in math
In fact, it comes from "noncommutativity", the fact that for two matrices A and B, AB is not always the same as BA.
Gomez in shambles
I thought you were sleeping
morita equivalence is the best invention of the 20th century
Or wait does gomez even exist anymore

wtf pedagogy value does this have
I already don't understand the wrong answer, I don't think the right answer will do much better
what student is gonna intuitively fill in the blanks
between noncommutativity and uncertainty
it's because you're not sure if AB = BA right?
all i remember from my quantum 101 class years ago is like, the uncertainty product has a commutator and an anticommutator term in it
It's to have a chance at making wrong connections that still approximate the right ones
Sort of, but it's more about the fact that noncommuting symmetric matrices dont have the same eigenvectors
tbh like if in 5-10 years I learn about the uncertainty principle having the idea of commutativity in my head might be helpful
why isnt there a bleak version of
yet
we need an unbleak
The Heisenberg uncertainty principle is a trivial fact of fourier analysis
clearly
I am go to bleaks.
ultra is not actually goes to sleep, ultra is return in 5 minutes to chat
bet
You're in the dream still ultra. Wake up
Fun fact: you can summon Ultra anytime by saying "Godel" 3 times in a mirror
you're in a coma, we miss you... please wake up
godels incompleteness theorem means that collatz is true and not true right?
I am godel sleeps.
wish ultra was here to see this

In classical logic, intuitionistic logic and similar logical systems, the principle of explosion (Latin: ex falso [sequitur] quodlibet, 'from falsehood, anything [follows]'; or ex contradictione [sequitur] quodlibet, 'from contradiction, anything [follows]'), or the principle of Pseudo-Scotus, is the law according to which any statement can be p...
smh
You cut up Collatz and reassemble it into 2 copies of the original conjecture. We haven't proved it yet, so by the contropositive of Completeness, we conclude it can't be proven. Thus by Incompleteness we conclude its independent. Finally since we have two copies of the theorem and its independent we conclude that one must be true and one must be false by LEM.
most interesting consequences of first incompleteness:
- the halting problem
- second incompleteness
- unsolvability of hilberts 10th
- your thesis is shit
well what is it 
1st incompleteness is there will be statements independent of any "nice" formal system. 2nd is a nice formal system can't prove itself consistent.
you cant prove the consistency of a system (satisfying sufficient hypotheses) within that system
iirc
so zfc cant prove con(zfc)
Don't flame me Nami
oh I didn't know that was the 2nd incompleteness theorem
it's more like the inconsistence theorem tbh
its just what you get when you prove 1st incompleteness "internally" within a system
rather than in a meta sense
I guess yeah, that kinda makes sense
3rd incompleteness is any formal system (of education) can't demonstrate (to its students) what Godel's theorem means to a sufficient degree to avoid cranks
if you could prove a system was consistent within itself then incompleteness wouldn't be true
4th incompleteness theorem is that there will never be enough bleak emotes
If the problem of finding zeros of Riemann zeta off the critical line is undecidable then RH is true
if RH is independent of ZFC then there is a model of ZFC where RH is false
and one where it is true
No. RH can still be independent, as long as that is not provable.
I mean computably undecidable here
what's the difference?
gn
Gm
ga
yyyyy
Didn't know that bit, huh
This guys thumbnails and videos are obnoxious

donāt try to understand how something works, just memorize it lol
Stop trying to do this instead.
what could go wrong
It can work, there's no need to understand everything you come across
Of course there's a base line you need to understand, but if that eludes you, there's nothing wrong with memorizing things
I agree with that usually
This guy is annoying though
But I don't think the advice looks like "stop trying to understand math"
I think it looks like "try to understand it, but if it's not working out here's a backup plan"
Yeah, I think in general it's a good strategy
I learned proof based mathematics from the get go
And I remember having to memorize quite a bit because the prof just moved so fast
After about a year and a half of him, I learned how to do it without memorizing

yeah man
Holy shit his channel has blown up
They didnāt pull nearly that many views a year ago

"I love math and music and I hate Chmonkey"
i love math and music and i love chmonkey
š® custard
āMath PhD student in analysis and PDEs. He/Him. Also I hate Chmonkey.ā
smoking that benjamin reichwald pack
fair
Such a needy monkey.
custard = cum mustard
bad gmod
chmustard
sorry father

lol
Chmustard
Chmustard
could any enterprising nerds eli5 what a functor is
Chmustard





