#serious-discussion
1 messages · Page 467 of 1

maybe for some proofs....
for a lot of math proofs the hard part is having the idea in the first place
I used to have that issue
But then again
I have only done set theory and logic
So haven’t reached the hard stuff yet
sometimes if really good opportunities are laid out in front of you, you aren't able to get yourself to say no to them even if saying no to them is the best course of action for your personal goals
i am who i am now because no one was setting up dominos for me to knock down toward a math phd
no one in my family has any clue what academia or STEM is about
i would not be who i am if i didn't have to figure some stuff out and pry open some doors myself
obviously at some point this could backfire and it's like, oh, i'm stuck and i can't move forward and maybe i could have had i had a better set of resources from the start
That's possible but I also don't necessarily think this path is like, "the only" one that could've worked if that makes sense? If you're locally doing what feels right you're probably gonna somehow end up in a good spot
I applied ED to Penn and would've gone there if they ended up pulling through with the aid
How hard was college for y’all
I was actually in the school of engineering and applied science there!
Where did u go
uh, very very hard by the end
Chances are I would've never done the math major, I would've done smth like CS or chemical engineering or smth like that
i was supposed to do chemistry, so i get what you mean
But I'm pretty certain that if I went down that path, one way or another I would've been happy. Obviously even if I'm giving advantages the onus is on the kid
sure
i don't think this is the way that everyone looks at their life trajectories though
I could send them to a great school but they have to be the ones who wanna work in school. The college counselor being able to give individual attention and turn lotteries into games with reasonable odds is an advantage but if they decide you know what? I wanna drive a truck. Then they can do that, and then my way of helping is to get them started without debt in trucking
Are y’all happy u did a math major
I guess my view is that success in life is something that's both a function of your choices and a function of... random shit
but there are social/cultural/personal costs which come with something like "i'm going to drop out of school and drive a truck" that are being abstracted away here
And if that random shit just stops you dead in your tracks it's like well... that kinda sucked
i'm very happy with it. it was a lot of work but i enjoyed all of it a lot.
How many hours a week
varied a lot
Today I studied the whole day
sometimes it was 10 or so hours a week, sometimes it was 90
Only 10
It's possible on accident it leads to a path that would've been better but it's also possible, in fact more likely, that it just makes your life garbage for a while with no real payout. If you can bend things in your favor sometimes without being immoral... Could work
usually it was around 40 hours a week (just a job)
I also think I learn slower in math lol
you probably don't, math takes a lot of time to learn and get used to (proof based math)
re the costs: I mean I guess in principle there could be pressure but as far as I'm concerned if I have kids I'll communicate to them that, hey success comes in many forms
Idk
Pursue your success
And my job as a parent is to do my part to make your goals/dreams a reality
@deep mango did u go to Berkeley
i feel like as a kid i rebelled against my parents being like "you should do what you want and enjoy the moment, it's not good to plan too far ahead" mentality and this is what led me to be very structured and ambitious
It's possible I look at things too much as a success/failure mindset, in particular I'm very risk/failure averse relative to other people
maybe that's why i think my parents had a good strategy
I agree with enjoying the moment
yes
But I think there's some merit to that mindset
What’s the intro to proofs class there
What
i guess there is one
but it's just discrete math
and linear algebra
both show you how to write proofs
And that for most people, reducing barriers to success and having it such that the cards are in your favor is a good thing
idk, i usually opt to make things more difficult for myself when i can because i'm not doing the thing for whatever the thing does, i'm doing the thing for personal growth
D:
Like in HS I never paid attention to class

youtube can still help if you find the right channels
there's a lot of advanced math on youtube now
since covid
uhhh
Yeah I tend not to look at things that way. Like... idk for me a lot of the point of personal growth is that it helps you "enjoy life" rather than as an end in itself?
Is he math sorcerer
(abstract algebra and stuff)
for me enjoying life and undergoing difficulty are pretty tightly knit
Also did y’all do competition math
if you drive me to the top of a hill to show me a view then i don't care about it nearly as much as if i hike up the hill
i did the putnam exam all 4 years but i never cared much about doing well on it
in high school i got to the AIME twice, did terribly on it
Hmmm, for me it depends. Low stakes challenges that are about... idk if I should say strategy but are somehow mental
competition math is a meme
Are the types of challenges I vibe with
not really
If it's a matter of pure grit or if it's actually a high stakes challenge, like failure comes with a nasty cost
Then I think I'd rather have it smooth
alright well
careful if you want to project that onto your kids
i don't think what i'm saying is the norm but i also don't think it's terribly uncommon
I'd wager people find challenges that are purely a matter of grit more rewarding than I do
(although it's possible when people say things like this, they're just coping)
Well if I have kids I’m forcing them into competition math or science
Makes u a better problem solver and test taker
Imo
But I'd say when it comes to high vs low stakes most people are hard on my end
Actually the opposite of coping, at least as far as low vs high stakes
what do you mean
I think it's much easier to be okay with "high stakes" risk vs... actually high stakes risk
So I'd wager a lot of people who enjoy difficulty in the sense of, failure comes with a price
That price isn't as high as could be
@deep mango do u know anyone who never studied for anything in math or stem and did well
You're sorta confident that you can bounce back from failure and things will be okay
i really have very little idea of what you mean by failure or stakes of stuff
i don't have a measure for that
i just do stuff and having to deal with tough situations is fun
I’m failing rn
I guess as an example
When my dad moved from NY to Texas to start a business that was a gamble
hmm, how about literally everyone i'm related to 
ok not all of them do well
I mean in college
It's a big move and a risk but I don't think it was a thrilling one
but most of them
Like went to college
Because the cost of failure is, he's in debt probably for the rest of his life
When that's the reality that's facing you
Difficulty becomes way less appealing
i thought you meant "never studied any math or science"
not "never studied FOR math or science"
lol
no, i do not know anyone who never had to study
everyone met their cap at some point
where they couldn't rely on natural ability
sometimes it took a while to find that cap
the harder they fall, etc etc
you dont
you forget some stuff after your exams
and then later you might need to know it again
so you look it up and it comes back really quickly
well, if you actually understood it then it comes back easier than if you blindly memorized it
yeah
I don't think I could remember any of the Stat formulas I learned in school even if I looked them up cause I never understood them 😔
same

where discussion-0
Has anyone done the mit ocw 6.042j math for cs? Not sure which one to do, the 2016 or 2010 because the 2010 has full lectures.
6.042 is a nice course
it’s basically an intro to proofs class for the cs majors there
the ocw year shouldn’t really matter
hey if we have to square a number like if we want to square 100
we can find the sum of first 100 odd numbers which is equal to that but why this thing happens
is this any sequence or series
and for even
if youre familiar with induction, try to prove it.
is there any thing
ohh its from the induction
weird phrasing
there are many reasons this identity is true, from geometric to combinatorial
but its good induction practice as well
if you project a sphere onto a tangent plane like this
https://en.wikipedia.org/wiki/Orthographic_map_projection
is the result a full hemisphere or is it off by some infinitesimally small amount
like, say true north is at 0 degrees latitude; if you do a projection like this at the equator, is the northernmost point 0° or is it like 0.000000000001°
Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective (or azimuthal) projection in which the sphere is projected onto a tangent plane or secant plane. The point of perspective for the orthographic projection is at infinite distance...
apologies if this isn't relevant to anything, just curious
it would contain the northernmost and southernmost point



i unironically havent studied for a school exam in forever, one of the reasons why my grades were very wonky
studying important kids
on the other hand i had plenty of time to study for things like the math gre
so i did
Tips for studying for the GRE? Everyone says just review but my calc classes were very non-computational so I don't have that experience
just practice integrals and series from single amd multi variable
and know basic definitions and concepts in analysis, topology, algebra
the best tip is to have yourGRE cancelled because of the pandemic and not have to submit a score to grad schools 😎
don't do the GRE 
If I cry hard enough on the GRE will they let me pass
don't do the GRE 
nobody wants to do the GRE
don't do the GRE 
i hope i don't have to do the gre
there's also mock GRE sheets you can actually use to practice, that's your best bet for these kinda tests
lots of repetition
hopefully you won't have to do it tho
Problem is there aren't a lot of previous GREs
So you can run out of official material p quickly
don't do the GRE 
don't do the GRE 
when should I start studying for the GRE
I'm currently at the start of my Junior year of undergrad
don't do the GRE 
I’m gonna do the GRE
I’m gonna do it 1000000000x times
I’m gonna give ETS 3 billion kajillion dollars
What does ETS do with the money
They buy tomatoes to throw at people
Fuck ETS
the ETS is owned by Pearson
general gre really bad
I am do the GRE.
hello original chmonkey from mathematics server
OC
OC
Did u see the follow up
🫂
🫂 chand mara
nMizzoid
good point
Same
this is some lore of the server
which can be explained in a single sentence
what is chand mara
For further explanation of this you are recommend to use Google Translator.
are there cases where you can't express something without parametric equations or are parametrics just to make things neater and easier?
what do you mean "express something without parametrics"
can any parametric curve be expressed in terms of x and y or whatever variables without the parameter
sure, but your expression might be a complicated piecewise mess of relations
parametrizations are often much simpler
is there any situation where the parametric is really ugly/complicated, but the direct equation isnt?
This isn't maybe the best example, but I'd rather express a circle by the relation x^2 + y^2 = r^2 than with a parametric
Or how about this. Imagine a set of nested circles with each integer radius from 1 to n, with a vertical line connecting all of them into one path. That's easy to describe with "sqrt(x^2 + y^2) is an integer, or x=0" but i really do not want to parameterize it.
You could probably think of more annoying examples if you tried
Oh hey Mirza is back
i think $(r\cos t, r\sin t)$ is as good if not better imo
It seems like you could always make a parametric equation of a curve messy.
imo the parametric is always as messy or less
i cant think of many situations where it's worse
Like rather than (cost,sint) it seems like you could have (cos(t(u)),sin(t(u))) where t(u) is some nasty function that still lets you plot the same curve as (cost sint).
Oops I meant rcost, rsint.
there is always a parametric equation that can model a curve better than or as good as any "normal" equation
what's the word for a "normal" equation again?
like y = f(x) or f(x,y) = C
Is it weird to feel like a genius when you're buzzed on caffeine?
I get really egotistical about my intelligence when that happens
Like I see myself as a genius when I do
I mean yes that’s how dopaminergic drugs work
If you’re really sensitive to that kind of thing
lul
why do I feel like shit when I drink coffee then 😦
Oh interesting
I get the same feeling when I arrive at weak form of a PDE
If I can even write a definition as densely as Taylor does I feel like a genius
I was in the ML discord server, they are not as active and beginner friendly as this server
so theyre sane
unlike us
we pretend to have an academic veneer but 99% of this server is high school students looking for hw help
like there's literally a rule saying ask beginner question in #beginner-question or you'll get banned!
square root of 3 is about 1 + 1/2 = 1.5 
https://www.youtube.com/watch?v=PJHtqMjrStk
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$\sqrt(3) = 1.7320508075688772935274463415059$
Bleidorb
When graphing an equation f(x) (co domain) is always denoted by y so I don’t know what you’re talking about
you mean f(x,y) = c?
F(x) = y
Y is literally f(x) that’s how functions work
Functions where y isn’t f(x) non-“normal” functions if you will
I don’t think they exist lol
no i meant a "normal equation for a curve"
Excuse my nieveness btw
cause theres ways to describe curves that aren't in the form y = f(x)
Huh
$\vec{r}(t) = (x(t), y(t))$
Ninja
that's a parametric equation of a curve
Shit idk what that is
it's not of the form y = f(x), although sometimes it can be reduced to one
or for a simpler example $x^2 + y^2 = R^2$
Ninja
that's a circle, but it's not of the form y = f(x)
btw the co domain isn't always y, sometimes the domain is t, and the co domain is x for example
Yeah I used why for an instance
*y
Is it called “a function of time”?
Ones where domain is t
that would be, yes
Yes, Mathematics server is the most friendly one I hv been.
Is this you? 
I think here we have 3 effects:
- To humiliate the person and hint that he is dealing with C * -algebras (because everyone hates them)
- To humiliate people who do not know what a C * -algebra is and to hint that they are illiterate
- To confuse people who thinks that badges should be related to the text of the message
Guys when you see this
what do u understand frm it?
im so confused as to what its saying
whats the (1) and (0)
What's the context exactly?
My textbook says the following:
The Historical Model, it is assumed that the correlation coefficients in the previous
period will give the best estimate of the correlation coefficients in the future.
So the correlation coefficient matrix keeps the same as the previous period. The
idea of Historical Model is very simple, we use the historical matrix in this study
as a benchmark against with other models can be evaluated.
guys how do i submit my math homework it says to "upload file" i think we have to use the binomial theorem here
sorry, thats not possible in general as the space of all math homework does not surject into online homework submission platforms
in other words, uploading homework is not epic
The fact that it's not surjective doesn't mean that it's not an epimorphism; consider the category of rings.
sorry bub, the category of homework is concrete
try again
And the category of rings isn't?
can I get away with using the residue theorem in my mathematics for engineering class
i have to compute inverse z transforms and I found a method that makes it like, super trivial
Ask your professor
Is getting a 1390 on my SAT good if I was only 15?
Sure, getting a 1600 at 15 would be even better
you should just look at what your target unis are asking for
More specifically, good for what goal?
Yeah, I don't think unis will take your age into account that much. The score is more important.
I think age was being mentioned since like
He'll have multiple shots to improve
And with that in mind I'm generically happy with 1390. When I was applying some time back (out of 2400), the target was 2100. If you pass that you're at a point where the SAT is not responsible for your rejections
I mean it depends on the school though right?
Like isn't the mean SAT score at MIT like 1520
I mean 2100+ is where it's like, not even the top school are likely to make a thing out of it. At least then
Also aren't a lot of school test optional now anyways
Now my advice is a bit different since the test got easier and has only two sections
Let's say 700+ each section and at least 750 on one/1450 total?
is getting a 1090 on an SAT good if you're only 9?
getting a 400 on the SAT when you're 1
Is getting a 1080 on the SAT good when you're a gpu??
Getting a 69 on the sat is good at any age
Or should I be taking the AMD exam instead
someone crunch the numbers and do a regression
,w plot 650ln(x)
looks about right for a sat score curve
400 is the minimum score right
I dont think this is good advice anymore
at top universities at least
But in general its very good
yea that's the joke
Yeah I mean like I said now I think 1450 is kinda the replacement minimum since the test got easier? Or maybe 1500?
Definitely 1500
i mean you just want to be at
at least the median score for where you are applying
preferably higher
which tops out at like 1520ish most ivies and stuff and maxes out at like 1540 for caltech
I mean do they weigh it that hard? I feel nobody cares about the difference between 1500 and 1600 lmfao
Like that's borderline statistical noise
That's where you've sorta hit the bar you need to hit for SAT and now they focus on your actual shit like grades, ECs, essays
youre borderline statistical noise 
But if there are a lot of people applying and you see two pretty similar app but one person has a 1500 and the other has a 1540 its going to have an impact
even if its minor
and u dont really want to be in the position of someone seeing ur score and going "well, thats a little bit below our average..."
Would it really? I feel like with how much they care about holistic admissions I'd likely expect that except at Caltech
it wouldnt make or break ur application though
They just see is SAT > X?
If so coo we now forget what your SAT score is
Definitely GRE is pretty much like that
I dont think theyre gonna forget considering ur app is reviewed for like 10 minutes lolz
And back in the day 2100 was effectively that, maybe there's a bit of a difference between 2100 and 2200 lol
But 2200 vs 2400 is no effect
i would if i was below the median
i wouldnt if i was above it
But i would still apply either way
You got partial me
also it kind of depends on how ur applying and where bc these stats get deflated a bit by people who have non academic "spikes" or whatever theyre good at and get in with like 1300s and such
Are they chess ratings?
ok,
I was going to say 2200 and 2400 are entirely different 😄
Do ppl score full in SAT?
Do we hear about them later?
No idea what u mean by that 
perfect scoring the sat isnt particularly noteworthy
a decent chunk of top students do so every year
its certainly not "the norm" but it happens
I think that once u reach just under the median they start becoming like
exponentially less valuable
at most hard to get into places
Which is the best college for math in US? And to get into it we give SAT right?
a sat alone will not be enough for any top school in the us
theyre gonna look at your grades, your essays, your ecs, your background/demographics
anyway, there isnt a clear "best"
especially at the undergrad level
at the grad level the traditional "big 6" are princeton/stanford/mit/harvard/berkeley/chicago
but this is very rough
since advisor quality is way more important than school prestige
harvard, despite its prestige, has kind of been bleeding good advisors in most fields recently
i still wouldnt complain about going there but
it makes comparison hard
at the undergrad level, you have even more factors to consider
like program quality
do they let you skip courses to take more advanced material? do they have strong reus or other opportunities for undergrad research? etc
i'd rather an unrestricted program with plentiful research opportunities at a top 20 than a restrained program with hyper competitive research positions at a top 5
but thats just me
Nami do u think that would be relevant to me at all as an undergrad
Probably not right
The advisor thing
idk
im a bad judge of this
the point is that theres so many factors that its hard to make an informed decision imo
without direct, personal advice from someone very knowledgable about you and your goals, at least
I was just making sure I got the joke
Money/family social status?
not really, thats factored into scholarships though
but unless your parents are "donating" massive sums
thats not supposed to play a role in admissions
just aid
nepotism moment
Just out of curiosity, why do some people have emojis in their names now?
Wait why do I have an emoji in my name now?
Oh awesome
How do you study for a chemistry test?
Probably like how you study for any other test
thonk
What is the origin of the
role
I don't see no emoji
Update your discord
no
UCLA > Cal
Fight me

FIGHT ME
I don't really care that much
I'm just salty that berkeley has now rejected me twice
Gonna make it thrice soon
Also socal is better than the bay area
C*
is consciousness a bunch of chemicals ?
it’s so interesting though how can we put a bunch of chemicals together and it works 😭
magic
My impression is that socal is probably more pleasant but Bay area weather is better
Like Bay Area seems to have optimal weather
False
Which part do you disagree with?
The beay area weather being better
bay*
Irvine has like perfect weather
And you can't beat it
Socal summer seems unpleasant
In my mind Bay Area is like
Breezy and 50-70 for the vast majority of the year
Live closer to the beach -- the costal breeze cools you off a lot. There's also plenty of parks to go into that are really nice
I guess in what way is it better? Like what's a time of year that you'd rather be in socal than norcal?
Every time of the year
The food in socal, particularly LA and OC are far superior to the food in bay area
Even down in SD the food is really good
I buy the food being better in socal for sure
But I mean even if beach in summer is fine, I don't think it beats having 60s in the summer
I doubt food is really any better or worse in the bay area compared to socal.
Maybe socal has more good big name places?
It seems quite plausible tbh, if only because Bay Area just doesn't seem like... Idk a place you especially associate with food. Socal not really either but it stands to reason that they have stand out good Hispanic food
Better Mexican food, better vietnamese food, better chinese food, better korean food, etc.
LA and OC are just OP when it comes to good food
There's a vietnamese place in OC that got a michelin star
So fuck you Bay Area
ask mod
permastudying just removes you from general discussion channels
tim is a seethie still

you would still be able to see ivory with permastudying
that's the only off topic channel that isnt blocked
i just need to become honorable trusted or adv helper or helper or very cool ppl or misc roles

johan just slightly off topic
but do you know anything about geometric realization
🐙
we were talking about showing equivalence of categories for category of chain complexes and something else
some phd chad mentioned using geometric realization and I think he said its used to show something, but I wasnt able to follow so easily
i have no idea
this seems like something someone here will write you a big blogpost about
but I think first I need to understand homotopy category
that nobody asked for
well you're learning math i don't know now 
give me two years back from league of legends or highschool and id be happy
i want to learn the cool analysis you know but im straying further away
i just wasted 5 hours watching survivor, then big brother, and then playing celeste and beating 1 level
so
not as much anymore
i'm bad at it
well i'm pretty good at celeste but i've played it for a long time so i should be

dabbed! loL!
i dont know if this is a thing but you ever feel anxious for no reason because you can’t remember a definition. yesterday I was just filling up my water bottle thinking about definition for submersions immersion imbedding and constant rank. but i forgot them and was thinking of how to rebuild the definitions but then i realized I dont remember if submersion was one with constant rank dimension of M or N given a smooth map from M to N.
i am bound in the suffocating gauze of your relentless torment...
is there a anxiety called definition anxiety
tbh its in top 10 most stressful feeling ive had recurring
i feel like this happens to me often
next to getting harrased by others for no reason
but i've gotten good at just ignoring it and going to look in a book to remind myself later
it shouldn't stress you out as much as it sounds like it does
lol
I don't know if definition anxiety is a thing in itself
It's prob one of those things where
You'd get anxious whenever you feel like you're lacking in something important
And it just so happens to be the case that you put importance on definitions, so when you forget you're like fuck I should know this
But I would be truly surprised if it's like
You find being able to do X as a more important endeavor than knowing definitions
Yet X doesn't make you anxious while definitions do
yea but i think its a bit unhealthy for me. on sunday I got stuck in woods with my friend, 5 km deep on truck road and car broke down. I was more stressed about not finishing homework or remembering the problem correctly than getting back home. So maybe it is a combination of things.
Also its not just definitions you are right, but sometimes its just theorems and not remembering correctly
every weekend im just hoping ill catch up on learning but the cycle just repeats
I mean it's probably general anxiety. If this anxiety were strictly tied to math, and other similarly stressful endeavors didn't do this to you
if i get caught up for diff top the problem becomes algebra, if its algebra problem becomes algebraic topology and it keeps going
My memory is terrible compared to what I would like it to be, but its fine. That gives you lots of little exercises to piece things together in your mind.
the only time ive felt more anxious is when I ran track in highschool
and being distracted by math when doing non-mathematical things is a rite of passage for mathematicians, it's almost impossible not to be.
typical anxious activites like public speaking dont get me
if its anxiety and no good feelings though, that's a different matter.
i feel relieved when I check and remember definitions correctly
Also another sligtly off topic but I think I need to follow ryc path and learn more applied and physics stuff
Try forcefully thinking about something else when that happens?
Idk if it would work
Surprised too
Talked to someone today about operators on wave functions and I dont know what either are precisely. I was told that operators when applied to wave functions give you a probability density of physical observables or something or the other?
Also wave functions generally have information on the system being worked in? Im not exactly sure what operators are supposed to be so I kept thinking of operators like in math.
All in all I am shit at understanding physics language and need to branch out to some other applied field
Is there a topic like physics besides computer science that uses loads of math and is useful irl. I had an awakening that math felt truly useless without society or being applied to something. I always felt like it was a super tool that would help me solve a ton of problems but when confronted with outside problems im at a loss.
same ish
social science
engineering is always cool though
archeology 
but when i meant loads of math i meant outside of pdes
What is that supposed to mean...
I don't know a lot of physics but I undeniably know a little 
information theory, it's not cs or physics but more of a mix
I was thinking of heading down a statistics rabithole
Oh statistics too yes
because I honestly find lots of methods interesting
What is a statistics rabbithole
Why didn't I think of that, I study stats 
it goes like 2 feet down
learning stats so much that i feel removed from math
teafortwo lurkie....!
Stats is maths 
Pick up Laszlo et al, Gine and Nickl, and Keener to do mathematically challenging stats.
Nothing else is that compelling mathematically.
ok
Statistical thinking can be somewhat philosophical
my largest problem is finding time and commitment ive noticed
At least I see some statisticians try themselves at philosophy 
Is there a khan academy for analysis?
Laszlo does convergence of learning methods, has a stochastic dynamical systtems feel. Gine and Nickl do "how do I estimate things I can't discretely parametrize". Keener does statistical foundations and theoretically you can read just Keener and know more stats than most MS students in stats.
how is it compared to Lehman
I see Laszlo and immediately think Babai and I'm like :0
why ppl shit on stats so much
Idk how much shitting on stats I see
People def don't like it much
Because it can be painful
That's actually really good
stats taught right is reverse probability theory. instead of knowing the distribution and figuring out its action, you know the action and figure out the distribution.
Because they did stats in hs
anyways feel free to shit on statisticians, they dont know measure theory
Gator talk to your average stats phd
Tbh it's true
As much as I hate it

French statisticians know measure theory though

yes, but the frenchies do stats like math people do prob
pascal didnt know anything
he just randomly wrote down things until he was correct
its how i write papers
game recognize game
UK statisticians probably as well
wdym
they dont?
do physicists?
no lol
physicists write measures but cant tell if what they wrote makes sense
believe me, im working on formalizing measure garbage physicists thought worked but actually runs off to infinity
i wouod be interested to hear but probably over my head
i need to level up my analysis so much
i think ill take grad analysis senior year
Erich Leo Lehman
also where do you give talks irl
theoretical statisticians and physicists actually do math seriously
i wanna practice giving more math talks and getting grilled by math audisnces
your uni should have seminars
yea but they are classes
so ur telling me i gotta sign up for seminar classes
bruh moment
oh hey i have a lehmann book i "found" but never read
never saw the point but maybe itll change
keener is high stats theory, he's good shit
weener
i should probably also rec van der Vaart, he's also stat theeory
What are the books names 
also wtf
Especially laszlo
i looked in analysis pinned
Can't find the name
where tf gomez get all the time to review those books
laszlo called nonparametric regression, gine and nickl is infinite dimensional, keener called theoretical stasts, van der vaart called asymptotic stats
i have more recs but theyr specific to my interests, you should also pick up a book on monte carlo methods, there are some oddly nontrivial things there
Lehman's (and Casella's) theory of point estimation is a classic for point estimation, often recommended
You sure it's that one? I don't see anything notable in the analysis pins
nvm it was sloth
Oh lol
in bookrec
imagine estimating points
i just draw them at random
That was because for those subjects I was literally looking for good books
yes, i love running monte carlos, so much fun
Lso you said aluffi has bad exercises
Like I start with D&F, nah boring. Artin, nah it mixes the group theory with the linear algebra and I'm trying to speedrun group theory. Herstein is good for GT but later not anymore so I need something new
which ill agree some of them are lazily worded
just learn algebra off wiki
I help a friend through Aluffi problems, they make me wanna pull my hair out
actually though
Can a mod pin that 
read aluffi and do dummit and foote problems
Ider but like
part 3*
I feel Aluffi just kinda has a bunch of problems which are just
i say that but i havent done anything but skim aluffi 😂
aluffi is shit at defining things ill say that
Yeah this proof is easy but it's long and I don't wanna write it
i had to use wikipedia to find what univeral property is more formally
So I'll just give it to you even though it's not that interesting and probably not very informative
Maybe you can make a case that it's largely repeating a textbook proof to solidify or whatever
But it feels lazy
some intution is built but at other times im wondering how can I use this category theoretic concept I just learned to to make this problem easier
when its shouldnt really be done
Also I have a smol question
Yeah jnf problems are painful
We have that for category of modules direct sum is the product and coproduct
But if we take an infinite product this changes
We have that infinite product stays the same but infinite coproduct has these weird conditions
homies
where do i publish math papers
i got trolled twice now
so please not again
vixra
I think I might have to just go and work out a bunch of examples
if you have a real paper reach out to a prof
is this dude's name even pingable?
thing is i dont have a prof
yet i have a real paper
do you though?
Lol exactly.
Maybe he is not doing a PhD.
Doing Masters or Bachelor's or HS or something and wants to publish.
collatz or riemann?
senku isnt perma studying?
perma?
oh thst is tim
What?
tfw they never claim to solve the bsd
i thought you were tim o brian
Oh okay.
remember paying california's rent price is harder than publishing paper
bsd a deez nuts joke?
😓
Ah yeah that's the spirit.
reach out to a prof if you want to be published, they'll know which journal is relevant
And also if it's worth the journal's time
Leave it.
Senku has a different energy than Tim but their avatars gave vaguely similar vibes
if there are some mistakes, they will let you know that you'll have to revise
Oh do they.
Mine is a Tardigrade.
The strongest.
The most surviving.
And his/her/their is a cat.
The supremacy.
Mine is stronger and chiller thought
.
Cats>Dogs
Yessssss.
yes
oh rip
i want to do research soon
idk who I even ask and idk the topic tbh
presumably the topic would be on one of the classes im taking but all the classes feel like I need more prereqs before I begin research
You are doing PhD?
no bachelors
but it seems like getting math research is one of those hard to do things
I should only ask profs once im well adjusted anywayd
I didn't even need covid to waste my potential 
More seriously though try to ask profs to do a research internship with them
Research is usually done after a masters though
Well in the usa you can enter a phd right after undergrad but I think it includes masters?
Oh cool.
In theory it should be possible to get a PhD without an MS in the US, but the requirements often overlap
So it's often as simple as just applying for the MS.
how does that work? you write a thesis about 2~3 years into the program?

So you effectively spend the same time as an MS just taking classes/giving quals?
but you have to pass the quals for a masters as well? i know you do to go on with the more research side of a phd
Hmmm, makes sense
so the question was more like for those ~6 year programs where you go in as a bsc and directly go for a phd
what do you do in the middle to also get a master's degree, if you want one?
i see
that's pretty handy
right, i see it mainly as a fallback measure
pretty reasonable, too. i can imagine a lot of people jumping straight into phd from bachelor might find out they're not that into academia
lol yeah
A PhD can be a path to a free Masters.
No question about funding.
Of course that's a good way to burn bridges
yeah, especially if the funding came from a project
Europe master race
wait, i've seen this one before
not really true
isn't education super expensive in netherlands? also uk and switzerland, but i suppose those don't count
i guess i was looking at it from a foreigner's perspective
epfl is as expensive as netherlands for foreigners
ofc being born in a 1st world country is life on ez mode
i'm already there 😛 did msc and doing phd there
i was just commenting on the truth of "free education"
the bad kind cuz i'm an eng
bad multilinear algebra, statistics, and optimization in a trench coat
commonly known as signal processing
wdym by filter theory
like inverse problems and stuff?
LSI systems and junk
yeah
it includes what i mentioned, but goes more in depth
i do a lot of the basic form of that
yeah, electrical engineers run the kid version of this in bsc
some of it includes this, yeah
stuff like "beamforming" is optimal filtering based on the observed data's probability distribution
telecom is more like it
like you have antenna arrays and feed them specific signal patterns so that the radiated fields have a specific shape
this is the same as applying filters in spatial domain
thüringen 🥲

you in thüringen too?
sachsen
afd ftw
go blue
2 years ago, ye
no, so far i have only assisted in a handful of compressed sensing lectures
but i do supervise a bunch of students doing masters
they have some small research projects, like the so-genannte hauptseminars
gutachten as well
i'm hired at the uni as wissenschaftlicher mitarbeiter, so
if the prof wills it, it happens
i think you need the degree you are grading
so if they are doing a masters and you have a masters, all good
i know there were some issues when i was grading exams for bachelor classes and didnt have a degree yet
no
i also don't usually do it "alone". there's a chief researcher above me who has a phd, but usually i handle it myself
nice
i see spdes in related stuff, like people simulating acoustic fields for seismology and ultrasound
i don't do it myself tho
I'm in the US, I do the intersection of SPDEs, analytic geometry, and physics
It's not that bad, I just learn less of each thing 
i do nt and graph theory most
Lochverstärker verstärkt Löcher
nt?
and the idea is isogeny based cryptography
Zahlen theorie
neato
also this
yeah i know what nt is, i just meant that as a followup
oh ok
i coauthored one paper on lwe lattice crypto
it was very cool, but i decided not to pursue crypto
my bachelor/master thesis advisor knows some guy and they know the top researcher in post quantum crypto
luca de feo
and they already paired up a math and a cs grad to research that
so the idea is that i do the same
ahha, I found de Feo https://sike.org/
3rd round NIST postquantum submission
That acronym
its a spin on elliptic curve crypto based on random walks in isogeny graphs
are the people involved zoomers
@lilac raven this is the sort of stuff i more often deal with, related to your filtering stuff https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1197303
The Capon beamformer has better resolution and much better interference rejection capability than the standard (data-independent) beamformer, provided that the array steering vector corresponding to the signal of interest (SOI) is accurately known. However, whenever the knowledge of SOI steering vector is imprecise, the performance of the Capon ...
not quite
that and subspace techniques to separate signal components from noise
prolly
how about here
petre stoica shows up a lot in this type of stuff
you can kinda ignore it
it mostly defines the structure of what ultimately boils down to y \approx Ax + n, with different statistics for n and a different structure for A depending on the application lol
and different properties for the expected value of (Ax + n)(Ax + n)^T
Van der Vaart had this very cool terminating chapter on semiparametric statistics with the parameter on a manifold.
I'm loosely speaking looking at flow and transport equations that have singular geometric interactions that are useful in physics, which break symmetries that we can tackle by stochastically renormalizing things. There's also some SUSY on the horizon which is making me
but I'll pretend I'm not doing any of that yet.

whats with the sus eyes
oh
as ive been discovering, neither do i
basically think of it this way
navier stokes on bounded domain
water hit wall
no more differentiable
turbulence what happen????
yes, im basically staring at the problem like a dispersive pde
looking at the transport of 2-forms that have symmetry up until collision with the wall
at which point it's time to start doing big brain things like uhh checks notes stochastic ricci flow? 
a meme
math thing, for 3d flow you defind as the calculus curl of velocity field
you can treat it as a differential 2-form
well that's vorticity but anyways
i have no idea
capon beamforming 
who knows what people do in continuum mechanics
everyone has a different idea of whats interesting or useful
whoa that cool
what the fuck
physics departments would get wrecked by this class
is this math
why would math people teach continuum mechanics lmao
they probably do it with discrete approximations
then it fits well
efficient algorithms, memory-aware computing, matrix-free methods, etc
robust opt
turns out the way you write the stuff on paper is often not at all how you actually do it cuz you wouldn't have enough resources
oh
i recently learned that vector fields are related to sections for vector bundles
makes sense
i think i understand the basic idea of constructing a fiber bundle now too
but it seems applied to almost everything in a way i cant describe well
applied to a lot of things I should say


Bundles are poggies
ece?
engineering civil engineering
wait
kernel is a fiber?
at 0
i think so
because you have a map from A to B
kernel is when map on A is 0 in B
fiber at 0 in B is subset of objects in A mapped to 0 in B
sounds foolproofed
oh
i now know what a fiber bundle is
So a vector bundle of a linear transformation f X to Y is {f-^-1(y)}_y in Y such that f^-1(y) isomorphic to some subspace of Y?
Yeah, the fiber of a function $f : X \rightarrow Y$ at a point $y \in Y$ is simply defined as $f^{-1}(y)$. This is a very general definition.
MisterSystem
Not really
Mainly because if f : X -> Y is a linear map between two vector spaces, in general f^-1(y) is not a subspace of X.
We can guarantee that for y=0 tho
Prolly the nicest way to get a vector bundle that is induced by a linear map T : X -> Y may be like taking ker(T) or Im(T), but these are trivial vector bundles. I suppose you were trying to define something more interesting.
uh
nah
i think I just need each fiber to map isomorphic ally tonsome subspace of of Y
or nvm
i just read nlab definition and was remembering covering space definition for manifolds where each fiber is locally diffeomorphic to something
Yeah, but that doesn't make much sense since f^-1(y) in general is not itself a subspace of X.
So it doesn't make sense to ask for an isomorphism
Hello?
hello guys, is here anyone with knowledge about network adapters ? my wifi dis - and reconnects every 5-10mins, i already un -and reinstalled it again with no success
Une conférence de Jean-Pierre Serre, en anglais, sur les façons d'écrire de mauvais articles en mathématiques. C'est souvent drôle! Montez le son, il est très faible.
hey guys~
I NEed welp abut something thats pretty ez for u guys
u guys know elo system? uwu
Ik how to calculate in a 1v1
but how to calculate in a 2v2 or 3v3 or 4v4 etc etc
^^ makes it more easier to calculate
the k-factor is the cap for elo changes
higher ur elo, higher the lose k-factor
higher ur elo, lower the win k-factor
WELp
hey why do schools force kids to memorize a bunch of trig functions and identities
when eulers formula makes deriving them trivial
would it really be that hard to teach 9th graders complex numbers?
probably not tbh
I dont think thats that far off of a take
but maybe better for like 10th grade or smth
maybe mathematical maturity
Hello, 212.72.223.99! Welcome to Wikipedia, I have seen your recent contributions and have determined your edit is garbage. As such, I have reverted your edits on Employment in Hong Kong. Please read WP:NC, WP:BOLP, WP:IUP, WP:NPOV, WP:OR, WP:V, WP:!, WP:NAD, WP:AGF, and WP:ABF before daring to touch our holy encyclopedia. Fuck you, and if you don't read the aforementioned policies I will press the geolocate button on your page. -Abraham Quinten Andreas Tijn that's my name! (talk) 4:39, 1 October 2021 (UTC)
we need #chill but for text and any memes must be related to discussion
seriously
conversation on anything rarely lasts more than a few lines on #chill
in 9th grade we learned trig but like only with triangles and not the unit circle definition, in 10th we learned abt the unit circle.
imo trig would go way better if instead you only taught it in 10th grade, after complex numbers, and also teach the unit circle definition


