can someone help ,e with algebra 2 in the mathmatics vc
#serious-discussion
tardy gulch
viscid pecan
So like can’t you just show a complex multifunction is not equal to a real function as a case here
sharp mulch
"functions" that assign multiple outputs to a single input
viscid pecan
devout nacelle
Oh
viscid pecan
Multi value function
devout nacelle
Gotcha
viscid pecan
Cool stuff
toxic schooner
sacred geyser
actually, since we used inequalities, how would an inequality even work for a multifunction
viscid pecan
Well I guess you can assess that using polar coordinates
But also did you try just comparing two different real functions
deep mango
Branch cuts 
neat lintel
narrow rock
deep mango
narrow rock
fake ryc
deep mango
broken scaffold
mod fake ryc
sharp mulch
thorn brook
Okay so I know that compact spaces are important for AT because it helps you compute fundamental groups or something, but is limit point compactness and local compactness also important for AT? I'm thinking about skipping these two short sections but I don't know if that's a good idea
I mean I could read these sections because they are short, but I don't find it interesting at all
narrow rock
the section on local compactness might do one point compactifications
which is useful ig
limit point compactness is good for intuition
thorn brook
oh yeah, the section does cover one point compactification. But how is limit point compactness good for intuition? Like in what context? Just in general?
narrow rock
it gives you another characterization of compactness for metric spaces
which might be easier to think about for some people
thorn brook
oh yeah I'm reading the proof of that now lol. But I can't really understand the intuition for the limit point compactness in general, I just took it as a fancy definition. Is there any good way of thinking about this?
narrow rock
What is the definition
thorn brook
Well I guess it's easier to think about limit point compactness than compactness in metric spaces, but I still don't get the intuition
The definition in my book goes like this: A space X is said to be limit point compact if every infinite subset of X has a limit point.
narrow rock
right, so if youre in a metric space, this means that every sequence has a subsequence that converges to some point in the space
thorn brook
oh okay, the proof of this is a little bit later in my book
okay well this is definitely easier to think about. Thank you!
sudden nebula
academia: pros and cons
sudden nebula
modest rune
Pros: nice job, great reliability, travel to conferences, etc
cons: horrific job market
and compared to your level of training pay isn't like amazing
sudden nebula
what do you mean by reliability?
devout nacelle
Not a shaky job I guess
sudden nebula
don't you usually work by 3-5 years contracts?
torn willow
Not a shaky job I guess
devout nacelle
Ouch
pure sun
I interpreted it as like, the profession isn't going away any time soon
also weve talked about tenure before
I think it's sort of on teh way out
pure sun
it's harder now than it was 50 years ago
getting tenure at a top-5 institution is pretty much impossible (unless you are the best of the best) but I don't think it's that out of the question to get tenure at some isntitution
sudden nebula
unless you are very obsessed with rankings, tenure is tenure so that sounds good
sharp mulch
Also once you have tenure you only move to other tenure positions
pure sun
I mean, I agree that there is more to academia than rankings
sudden nebula
i know you can
sharp mulch
And you usually only move up
pure sun
but like
I wouldn't really want to end up at Bumfuck State University, Podunk Satellite Campus
pure sun
(to be clear most state universities are actually really good)
sudden nebula
yea i'm not american so i don't really get it
modest rune
i mean for me its like
devout nacelle
please god let me get tenure by a beach
start your own school along the beach
modest rune
90% location 10% wanting to be around interesting people
pure sun
rina what I mean is like
if you're in the middle of nowhere, in a department with people who you don't get along with and who dont do the kidn of math you do
you're going to feel isolated and unhappy
even if you do have tenure
sudden nebula
location is the most important thing for me, that's the thing that worry me most
oh i see
gotcha
rancid meadow
Max UHawaii arc 
modest rune
hahaha hell yeah
crystal stone
Max UHawaii arc <:hmmCat:831508801646755850>
Lots of my friends from my MS program are at UHawaii now
like four or five went
crystal stone
It's pretty high, but they love to go hiking, surfing, etc.
rancid meadow
I prefer colder climates but it'd be pretty sick to go to grad school in Hawaii lol
crystal stone
if you're in the middle of nowhere, in a department with people who you don't ge...
It's crazy how much poloticking goes on in math
I met with my research mentors collaborator at a school that's near me, and she basically said she was forced out of her post-doc due to rampant bullying, verbal abuse, and just undermining
and when she left her research advisor? mentor? during her post-doc said she'd never get an NSF grant as long as he lives
devout nacelle
I met with my research mentors collaborator at a school that's near me, and she ...
This sounds horrible
sudden nebula
medieval practices
hallow wasp
I met with my research mentors collaborator at a school that's near me, and she ...
did she math?
crystal stone
She's in math, she's pretty likely to be my PhD Advisor
Unless I somehow get into a top 10
Which ain't going to happen
hallow wasp
why dont you think so champion?
devout nacelle
Yeah, I'm hopeful you could get in!
hallow wasp
im not, just curious
errant rock
She's in math, she's pretty likely to be my PhD Advisor
are you starting phd this fall ?
i missed update on your status 
crystal stone
No I got straight rejections
I got a full time job at a university
Running a math tutoring center
hallow wasp
im hopeless ig
crystal stone
im not, just curious
I'm an idiot - I have pretty piss poor grades in core courses
hallow wasp
i wouldnt self deprecate, but same here
errant rock
I'm an idiot - I have pretty piss poor grades in core courses
in masters courses ?
crystal stone
My research and my advanced topics courses are good, letters are even better
hallow wasp
piss poor compared to competition
crystal stone
in masters courses ?
MS courses I did better in, but a few B's
errant rock
i believe in both of you
hallow wasp
yea reality is the importance
errant rock
wrong i can will myself into grad school it's gonna happen
hallow wasp
is columbia t10?
crystal stone
wrong i can will myself into grad school it's gonna happen
You basically just show up
and you'll be able to force your way in
modest rune
just show up to things and schmooze to the point where everyone would be too embarassed to admit they thought you were a student
crystal stone
That's basically what I did for my MS program
And the top 10 school near me, my prof said one of his friends did that after getting rejected
Just showed up cuz his wife got in to the PhD program, started taking classes
Told him if he passes quals they'll let him in
So there is a precedent for it happening, but it seems like a lot of work/stress to do so
hallow wasp
wtf
hallow wasp
oh yea
crystal stone
Some profs might make you pay, others will let you do it for free
crystal stone
Well eh
hallow wasp
i know you can be a stanger and walk into a classroom
but i thought you def need to be more formal
crystal stone
I started showing up at research seminars at Irvine for weeks
At the end I asked the organizer if he'd be willing to do research w/ me
and he said yes
hallow wasp
that means you had a topic, or your joining his
crystal stone
I worked on something he had in his mind
I got into my MS program just by showing up and saying "I'd like to take classes"
So if you show up, put in the work, and make yourself stand out
I think the chances are people will just let you in and try to find funding for you
Granted I don't recommend this route since it's very topsy-turvy and uncertain
But you do what you must
hallow wasp
i see
🗒️
i wonder if there is a similar way with research
i really want to get that in b4 i graduate
i know it isnt necessary for applying for phd but i want to have experience atleast
i did field ecology research in senior year hs and freshman year colleg
most fun ive had honestly speaking
i know experience will be different with math but i want to try it out
crystal stone
For math you generally want an REU experience
hallow wasp
yea i havent done an REU
crystal stone
I had an opportunity for an REU, but I kinda just didn't do it
hallow wasp
beatrice
hallow wasp
well youve done 6 years of schoolg so far?
or 5
do you think you could have went from undergrad to grad phd?
crystal stone
I probably could have gotten into some program, but I did community college to university
So I only had 2 years at a university
And my grades were pretty sub-par
hallow wasp
what is that considered?
crystal stone
And I didn't have research experience
hallow wasp
below 3?
crystal stone
I had a 3.3
hallow wasp
yea im in similar boat atm
im at 3.4 with exception that ive gone to uni for 2 years
crystal stone
I went to my MS program and was able to get a 3.8
hallow wasp
👏
crystal stone
I feel that I wasn't ready for a full-fledged PhD program, I have some personality quirks I had to iron out
hallow wasp
can you explain
crystal stone
I generally don't like being told what to do, if I think a problem is stupid, or I don't want to do it
A lot of times I just won't do it
hallow wasp
oh ok
thats not personality, i thought you meant you were too energetic or something
crystal stone
I also don't do proofs in full rigor for the most part
I like pictures, I like heuristic arguments a lot
These are things that needed to be ironed out during my MS program and the research I did
Which are now mostly ironed out
hallow wasp
ok i am in same boat as well
crystal stone
Basically what I found is I need to work with someone that likes rigor a lot
And they'll force me to formalize my arguments
hallow wasp
what research did you do?
crystal stone
Something at the intersection of Harmonic Analysis, Probability, and PDEs
I'm being indoctrinated under the bellman function people
hallow wasp
what makes you think you wont hit t10 now?
crystal stone
Well sub-par grades from undergrad
a couple B's from grad school at a middle-to-low tier program
Research isn't published in a journal yet
I'm not entirely sure how strong one of my letters is, two of them are very strong
crystal stone
Good relationship with the professor, did well in their courses or research; the main point is that they can vouch that if you get into some program
then you will succeed
hallow wasp
o ok
crystal stone
Like there are schools that I can apply to that I will almost certainly be admitted to
but I can't live in those areas
Due to the two-body problem
hallow wasp
why would you almost certainly be admitted
crystal stone
Just my professors/letter writers relationship with faculty at the school
hallow wasp
oh what ur married?
hallow wasp
keep it strong
crystal stone
Like I am likely to get into University of Iowa, Nebraska Lincoln, Michigan State University
Those are probably 3 safeties for me
crystal stone
Just because my letter writers know people at those schools
That will help me get into
U Michigan is a top school
hallow wasp
oh
crystal stone
Michigan State is not
||Which is why I have a chance||
The ones where I'm 50/50 on getting in are Texas A&M, Irvine, and Santa Barbara
The only way I can get into a top 10 is if I pull a pro gamer move and apply as math education
and then immediately try to jump ship into pure math
hallow wasp
lol
errant rock
the masters program im going to is so bad 😐
hallow wasp
one of my friends did medical physics at coloumbia and then jumped into puremath afterwards for phd
well more percisely
hallow wasp
he didmedical physics for 1 semester and then jumped for applied math and now applied for phd this sem
physics is also a lot of politking too right?
errant rock
why physics is harder to get into
crystal stone
Less funding, not every major is required to take a physics course
every major is required to take a math class
So there's more opportunities to TA, etc.
Also, a lot of physics funding goes to those weirdos that like experiments and run labs
hallow wasp
the cool people you mean
crystal stone
Equipment is expensive. Money on equipment = money not on grad students
errant rock
thank you mr moonbears
hallow wasp
just go to t5 physics school 5head
crystal stone
mx?
errant rock
are you a dude
hallow wasp
he doesnt know gender
crystal stone
Yes
hallow wasp
Mx. is safe
crystal stone
I am male
sharp mulch
Greetings Madam MoonBears-C-
woeful locust
Madame
hallow wasp
mademoiselle
woeful locust
m'lady
limber thunder
sharp mulch
woeful locust
NICE
hallow wasp
I am male
anyways best of luck, thank you for sharing your experience because I will be using that to further advance me potential career
crystal stone
yUh
errant rock
moonbears you inspire me
crystal stone
I'm not a role model, don't follow me
hallow wasp
i wont
crystal stone
No no no no
hallow wasp
ill just follow your regrets
crystal stone
There we go
errant rock
i will follow your path we will end up at t10 together 
hallow wasp
i think the strat instead of being a weirdo who shows up to symposiums unannounced would be to show up to office hours and audit an interesting class
errant rock
in a non creepy way
crystal stone
i think the strat instead of being a weirdo who shows up to symposiums unannounc...
at least half the classes I took in my MS program
I was missing pre-reqs for
crystal stone
I took topics in algebra without first semester algebra
hallow wasp
how did you graduate without a first semester in algebra?
crystal stone
I took topics in PDEs without first semester PDEs
hallow wasp
wtf
crystal stone
how did you graduate without a first semester in algebra?
Well you see it's a magical thing that my pure math advisor just said "Eh we'll substitute in topics in algebra"
crystal stone
I took random matrix theory without a probability course
hallow wasp
oh mb
crystal stone
Like I said
crystal stone
At university? 3 quarters real, 2 quarters algebra, 4 quarters of complex, 1 quarter differential geometry, 1 quarter topology, 2 quarters of linear algebra, 1 quarter mathematical physics, 1 quarter history of math, and 1 quarter of Riemannian Geometry
crystal stone
3 + 2 + 4 + 1 + 2 + 1 + 1 + 1 = 14 at my transfer university, plus the 3 semester courses I took after leaving that university at a different school
oh and an independent study
so 18 courses at University before completing B.S.
7 of which were grad courses
crystal stone
but wait, you did take algebra
undergrad algebra, not grad first semester
hallow wasp
you are supposed to take grad algebra before you go onto topics, i see
crystal stone
And the university courses aren't counting what I did at CC for 3 years
hallow wasp
thats a lot of hard work and classes
crystal stone
yUh, I really wanted to get into a grad school
velvet dagger
I thought you said "how many more classes did you take for me?" and I was very confused lol
hallow wasp
I thought you said "how many more classes did you take for me?" and I was very c...
yea mb
crystal stone
That's not counting the seminars I attended at Irvine, nor the research course, nor the harmonic analysis class I took
hallow wasp
sublime saddleback thats a lot of math classes
not counting calculus sequence and diffeq ive only taken 6 other math classes and im about to start junior year
hallow wasp
o lord
crystal stone
I got my MS in 2020
crystal stone
I spent 3 years at CC, 2.5 years at UCLA, and 2.5 years at CSULB
you might say that's 8, but uhh
Some of those overlap
hallow wasp
well this is called inspo
viscid pecan
so how confident can we be about the complexity of abstractions in the hard sciences when we do not consider the high level mathematics going into it?
do we just pull the emergence card?
pure sun
sorry, what?
hallow wasp
we cant?
viscid pecan
So when we deal with a problem in chemistry for example
hallow wasp
its complex because we dont easily understand
viscid pecan
when the reactions are not always predictable
bronze pelican
Among us emergency meeting
viscid pecan
yet there are common reactions to expect
but the quantum mechanical model does not always accomodate that
pure sun
what does that have to do with "complexity of abstractions" and "high level math"
viscid pecan
cuz wouldn't you consider something that is very intricately formulated to have a base foundation to rely on mathematically?
in many instances dealing with molecules, we get a lot of consistency but not when we don't get the reactions we expect
hallow wasp
yea
velvet dagger
So in the example you're talking about I'm pretty sure some notion of statistics is involved, but I guess it's still not clear what the "fundamental question" you're asking is
hallow wasp
when we do not consider the high level mathematics going into it?
might need rewording
viscid pecan
yea its kinda like also, what the hell is going on with electron density maps? We can only geometrically map the density for orbitals but we can't determine the patterns in which electrons orbit a nuclei of atoms and neighboring atoms that form bonds
so yes we rely on statistics there
yea excuse my shitty wording
hallow wasp
are you asking why do we need to rely on statistics and why isnt there a good enough model that can perdict orbitals in another way?
viscid pecan
no
we seem to have no way to know exactly how electrons orbit nuclei, so we can only account for a mapping of their boundaries of orbiting nuclei
hallow wasp
yes
modest rune
I don't know if you can use physical examples to ask questions about high-level pure mathematical abstraction
viscid pecan
i think this plays into the fuzziness of chemical bonds where we have classes of bond pairs that don't act appropriately compared to the class they're in
modest rune
or maybe im misunderstanding
it seems like this is a more physical question than my first read gave it
velvet dagger
Honestly the more this goes on the more I think this isn't a well-defined question
More like pointing out things are weird
viscid pecan
but don't the physical questions need mathematical consistency at some point?
modest rune
no
hallow wasp
said who, god?
viscid pecan
they don't? why
velvet dagger
I mean physics in principle just does what it does
viscid pecan
it just seems like a lot of fuzzy polar interactions
modest rune
it is remarkable that our models work as well as they do
maybe a bit intentional
but still remarkable
viscid pecan
i agree
modest rune
i dont think we should expect physics to be mathematically coherent
velvet dagger
It happens to be the case, some would argue it's miraculous, that there's so much study-able regularity in the world
modest rune
although maybe we think it might be
viscid pecan
i think its fascinating how much fuzziness there is at the quantum level
and how that works out
velvet dagger
And typically this form of regularity would be phrased mathematically
velvet dagger
That said, physics is not bound by law to be amenable to studying
modest rune
well the whole reason its now "classical" is that it was limited
viscid pecan
yea but i can't help that i enjoy math and physics haha
velvet dagger
This can be a result of, there is a way to in principle model things but it's incredibly complicated and not accessible to us for a long time
Or maybe genuine randomness happens
viscid pecan
yes i have been thinking about the correlation of stochastic-ness with all this
hallow wasp
randomness will always be needed though?
viscid pecan
well its not completely random either?
viscid pecan
yea
hallow wasp
if you think about any given set of data in any physical space there should be a pattern
velvet dagger
So there's a thing in quantum mechanics which says that the predictions are necessarily either actually random or possibly non-local
hallow wasp
possibly non-local?
velvet dagger
Yeah I think quantum mechanics allows for the possibility of something called non-local hidden variables
hallow wasp
what is nonlocal supposed to mean
velvet dagger
vagrant kestrel
more than zero meters apart
crystal stone
QM is disturbing
velvet dagger
Pretty sure local means physically local
So that means
My momentum might influence how a wave function collapses
All the way on Mars
or smth like that
hallow wasp
oh ok yea
The 1935 EPR paper condensed the philosophical discussion into a physical argument. The authors claim that given a specific experiment, in which the outcome of a measurement is known before the measurement takes place, there must exist something in the real world, an "element of reality", that determines the measurement outcome. They postulate that these elements of reality are, in modern terminology, local, in the sense that each belongs to a certain point in spacetime. Each element may, again in modern terminology, only be influenced by events which are located in the backward light cone of its point in spacetime (i.e., the past). These claims are founded on assumptions about nature that constitute what is now known as local realism.
i guess it can be applied to that example
viscid pecan
I need to get further into QM to understand the nonlocality stuff better
but it seems like it happens a bit on the surface when you have double and triple molecular bonds
cause of the pi bonds
you have nonlocality of electron orbits between density map pairs
velvet dagger
I'm still not exactly sure how the bonding business you speak of comes to play
Could you elaborate fully?
viscid pecan
so are you familiar with covalent bonds?
you get a double or triple bond with both a sigma and pi bond the the pi bond is the interesting bond here
cause you have parallel orbitals that don't seem to cross paths with each other yet perhaps there is some nonlocal stuff happening with electron orbits between the two atoms participating in the double or triple bond
the sigma bond is just two overlapping density maps
hallow wasp
i thot ur talking about subatomic particles
viscid pecan
well subatomic particles are involved in this
hallow wasp
r they called sig and pi tho
viscid pecan
there is this interesting thing happening with pi bonds and I think its probably the best way to think about nonlocality of electron orbits
hallow wasp
idk
viscid pecan
so this happens with double and triple bonds. With a triple bond you have two pairs of pi bonds and one sigma
velvet dagger
cause you have parallel orbitals that don't seem to cross paths with each other ...
Somehow I don't think this requires nonlocality
viscid pecan
is it because of the sigma bonds tho?
velvet dagger
Like at some level you've got forces
viscid pecan
yea
so the sigma bonds might be allowing electrons from the neighboring atom to start participating in the pi bonds? idk
velvet dagger
And from wikipedia it seems like pi bonds are weaker
viscid pecan
they are weaker
velvet dagger
So that's probably why it's not as much of a thing with single bonds, it's just not strong enough
I'm not gonna claim to know quantum chemistry but
viscid pecan
you always get a sigma bond as your base bonding property, it seems
velvet dagger
I feel like the "randomness/non-locality" that people speak of in quantum mechanics is very different from what you're talking about here
Your thing is more, yeah if two particles just happen to bond then what types of bonds depends on the situation, and the details are intricate. The geometry/physics
So if you don't know what's up then that might look "random" to you
hallow wasp
nonlocal=not physically local seems to be easiest to understand
viscid pecan
i guess ill have to look more into the whole nonlocality shindig
velvet dagger
What I was talking about earlier was a much deeper thing, particles in quantum mechanics aren't points
Rather you've got wave functions
velvet dagger
And you can speak of the probability that a particle would be in a certain location
velvet dagger
Yeah I think the double slit experiment is what proves that quantum particles have a wave like nature
hallow wasp
yeah but its super controversial
velvet dagger
Is it?
hallow wasp
also id be lying if i said i fully understood it
velvet dagger
So I mean
velvet dagger
I think James down the road who read some pop sci article does
But I'm pretty sure quantum mechanics is incredibly well-justified by experiment
It's not complete, mind you
And the way probability shows up does not sit well with people
You might've heard the quote from Einstein that God doesn't play dice
crystal stone
But I'm pretty sure quantum mechanics is *incredibly* well-justified by experime...
It's the most accurate scientific theory known
velvet dagger
I think Einstein was not into Abrahamic religions God
hallow wasp
wow that was a bad misinterpretation on my part
velvet dagger
But that there is a sort of God
Wikipedia says "Baruch Spinoza" is the relevant name here
velvet dagger
But yeah so basically there's a very deep randomness that goes on in quantum mechanics
You've probably heard of the uncertainty principle
crystal stone
But yeah so basically there's a very deep randomness that goes on in quantum mec...
If only we had better instruments!
hallow wasp
You've probably heard of the uncertainty principle
i dont know what it is
velvet dagger
Look just build measuring tools that can btfo Fourier analysis
hallow wasp
i think it has to do with measuring
velvet dagger
Kinda
velvet dagger
The way it's usually stated is that you can't measure position and momentum simultaneously
hallow wasp
woo i got points!
blazing pawn
yes you can? just multitask smh
crystal stone
Non commutating bullshit
hallow wasp
i dont know what it really is though
velvet dagger
Quantitatively, the product of the variances in measurements of position and momentum is at least some constant
crystal stone
Have you learned linear algebra marlin?
hallow wasp
what legitimizes the principle i have no clue
velvet dagger
h/2pi or smth
hallow wasp
Have you learned linear algebra marlin?
i have taken 1 course
velvet dagger
And yeah everyone thinks it's either because measuring tools are bad
velvet dagger
Or because measuring with a system interacts with it so you fuck with the momentum
hallow wasp
Quantitatively, the product of the variances in measurements of position and mom...
what is the product of variances supposed to be, what is it supposed to be representitive of?
velvet dagger
But in reality it says that a quantum particle with a defined position simply fails to have a defined momentum
sharp mulch
The Fourier transform of the dirac delta is the constant function
nimble shuttle
Or because measuring with a system interacts with it so you fuck with the moment...
i have heard that this is the correct interpretation
crystal stone
The Fourier transform of the dirac delta is the constant function
Prove it.
velvet dagger
Jon I think it runs deeper than that
velvet dagger
It's more that a particle doesn't have a position and a momentum
That are simply quantities you can isolate
crystal stone
||I am in the process of getting day drunk, don't mind me||
sharp mulch
It's just say that if a function is very localized in space, then it is very non-localized in momentum and vice versa
This is a fundamental fact about Fourier transforms
nimble shuttle
you mean that position and momentum are inadequate descriptors at this level?
velvet dagger
You can speak of probability that the particle is in a given location
hallow wasp
||I am in the process of getting day drunk, don't mind me||
👎
velvet dagger
And of the probability that the particle's momentum is in some region
hallow wasp
oh wait
velvet dagger
But there's no particle which has position x and momentum p
hallow wasp
im supposed to learn about duality in my analysis class
velvet dagger
It's not that you can't measure it without changing it so much as it just doesn't have it
modest rune
i support you getting day drunk moonbears
nimble shuttle
is there any particle with position x?
velvet dagger
The reason I believe this is closer to correct is because of Bell's theorem
modest rune
live ur best life
sharp mulch
You might also read about the Gabor limit
crystal stone
live ur best life
The friend I didn't know I needed until he showed up
modest rune
lol
crystal stone
I got some blue moons
velvet dagger
Which basically says that there's no local hidden (unmeasurable) variable theory that replicates quantum mechanical predictions
crystal stone
I've never had a hangover
modest rune
i dont get headaches i am just
super tired and kinda dumb the next day
like way more than is reasonable
the lemma i wanted to prove
is probably false
cry for me
crystal stone
The first time I got drunk was on a roof top bar in Paris. It was some girl's birthday, and two of my friends got swindled for 80 euro bottles of champagne
The guy said "18"
errant kiln
its so bad
those hangovers sound quite nice to me, why would you want to have a headache? 0.0
crystal stone
and charged them 80 on card
modest rune
oh i dont
but like
being useless for a whole day
is expensive
in terms of like my workload
crystal stone
So, you can't carry alcohol in public in Paris, and the bar closed at 3 am
modest rune
so i can rarely justify drinking at all
crystal stone
So I chugged a bottles worth of 80 euro champagne
modest rune
So, you can't carry alcohol in public in Paris, and the bar closed at 3 am
wait really i got blasted in front if the Eiffel tower once
crystal stone
It's fine in Parks
modest rune
sure
crystal stone
But anyway, I got drunk off of this since i had been drinking since then
modest rune
shouldve just sprinted to the closest park
nimble shuttle
couldn't you just conceal it
crystal stone
and in an elevator full of frenchies and my friends I uhh said
nimble shuttle
like hide it under your shirt
crystal stone
"Did you know that diarhea is hereditary"
and the plastered birthday girl says
NO IT'S NOT
and I said "It runs through your jeans"
She started dying of laughter, and the frenchies just looked at us
nimble shuttle
lol
crystal stone
That was my first time getting drunk
neat lintel
crystal stone
Good afternoon Mr. Tterra
crystal stone
I am drunk
neat lintel
I am drunk
really first time?
crystal stone
No
neat lintel
Congrats!
neat lintel
i want to leave a passive aggressive comment for the guy who's asking why i want to do something when i very explicitly wrote why in my post
like the dude only read the first paragraph
crystal stone
because reasons
crystal stone
get drunk do analysis
All I wanna do is harmonic analysis
but I gottta go do this stupid job
T_T
neat lintel
😔
crystal stone
it's all good
hallow wasp
but I gottta go do this stupid job
tutoring?
crystal stone
I wish I was tutoring
No it's uhh
Managing a tutoring center
way more work than just tutoring
hallow wasp
how is it more work
crystal stone
I have to make documents, give reports, collect data, hire people, train people
neat lintel
hallow wasp
oh ok
crystal stone
Manage social media account. I don't know how instagram works
neat lintel
Wow.
crystal stone
I actually can't. I have to make posters, make posts and manage some curriculum and workshop management
It's actually a lot
hallow wasp
making posters/socialmedia isnt ur job
hallow wasp
is the pay worth the effort?
sharp mulch
hallow wasp
it never usually is
hallow wasp
crystal stone
Honestly if the job is remote, I can get a way with less than 3 hours of work a day
To get everything done
hallow wasp
thats beautiful
crystal stone
But in person it's 8 hours a day since I have to be in the center
and helpin' people do what nots
hallow wasp
thats funny
i was a back of house worker for a resteraunt for prep work
only for a year though
i lived really close to the restaraunt and did prep at home
crystal stone
Like if I got the same salary just helping students directly
for 8 hours a day
I'd 100% do it
For at least a year or two
crystal stone
If I did tutoring full time, balancing scheudle etc.
Busting my butt, I'd make about that
hallow wasp
ive heard private tutors can make around 60k a year if they manage everything correctly
private math tutors*
crystal stone
Yeah I have a friend making six figures as a private tutor
In math/physics/chemistry
But I don't personally agree with that kinda work
hallow wasp
same here
crystal stone
I like working in areas where I can help low income students better their lot in life
hallow wasp
why do you like tutoring compared to mangement
hallow wasp
yea but after that
crystal stone
Hrmm. I could go teach at a CC, go into industry, or go into university
industry is attractive cuz of salary
hallow wasp
i thought industry is attractive because you see physical results
or not
is there a way to go into industry and still do pure math?
as the job*
crystal stone
Not really
hallow wasp
damn
i thought some companies would allow a system like %50 r&D, %50 ya own research
well shit, i guess i gotta learn more biology/chemistry/ecology to work in a lab and do research
i want to do research but avoid being at a university
surreal sapphire
google employs like 10 mathematicians
i think they do (somewhat) pure math
i mean they employ more, but they dont do research in mathematics
hallow wasp
there is 0 shot im getting a spot at google, realistically speaking
surreal sapphire
you can also work in industry as a professor at a uni
if you just want to do both
pure sun
i thought some companies would allow a system like %50 r&D, %50 ya own research
this is a thing
I don't know how common it is
but I know one person who took a job like that after his phd
hallow wasp
my hope is restored, i want to do that
pure sun
I think those tend to be hard to find though
it's a good goal to have
but don't base your entire future off of it
is what I'm saying haha
pure sun
is this pre- or post-phd
hallow wasp
both presumably, im not confident ill be able to finish a phd program if i get into one in 2 years
pure sun
I don't have great answers for the former, cuz almost everyone I know in grad school did finish their phd
hallow wasp
also i dont have an aptitude for teaching );
pure sun
teaching is a skill which you can learn and improve at
pure sun
those are teaching
pure sun
I would agree that working with students in small groups is more rewarding. so here is a question: what are some things we can do in the classroom to make it feel more small-group?
standing up at the front and lecturing for an hour is bad teaching
rethinking what teaching really means and what we do in the classroom is really important imo
but back to your question
out of people I know who got their phds but didn't stay in academia
some of them went to google, I know a couple who went into some AI research at smaller startups, and a large number who took jobs as quants working for financial firms
all of those require some facility with computers and coding and working with data
hallow wasp
pure sun
in the google and AI cases, they all knew that stuff beforehand
but for the quant jobs, they were just trying to hire mathematicians
and then they did all the training with computers and stuff afterward
do you not want to do any coding because you don't like coding? or you have something against it?
or you're lazy and don't want to learn it?
hallow wasp
no i thoroughly enjoy coding
pure sun
I don't see the problem then lol
hallow wasp
programming*
my problem is that i think i want to be in academia
just not in a university
think, national lab/private labs
but idk if mathematicians have a place in those areas
pure sun
there is some place, but usually for more applied people
but I know at least one topologist who took a job like that
like, his research is now pretty applied, but he still uses topology
and I think he likes it
what do you have against universities?
pure sun
you are too young to make that kind of decision lol
modest rune
just work at ias
pure sun
most math professors dont even teach that much
what do you think professors do as a job?
they research with 70% of their time
hallow wasp
teach+research
pure sun
then 15% teaching and 15% service
nimble shuttle
Marlin what do you think of the fish
pure sun
(so like serving on committees and stuff)
hallow wasp
one of my teachers was a post-doc and then got a position doing research at a uni without teaching
pure sun
most profs I know either enjoy teaching or see it as something necessary but ultimately minor
hallow wasp
Marlin what do you think of the fish
its nothing special
im not too interested in fish
aquatic life is cool though
hallow wasp
most profs I know either enjoy teaching or see it as something necessary but ult...
i don't know if ill have a bigger aversion to it in the future
pure sun
I can understand not wanting to only teach as a job, but I can't really take you seriously if your position is "I refuse to teach one or two upper-level math classes each year"
hallow wasp
no, id have nothing against that
pure sun
okay... and that's what most profs teach lmao
hallow wasp
teaching is one reason
pure sun
i don't know if ill have a bigger aversion to it in the future
you also don't know if you'll have an aversion to research in the future
hallow wasp
but the main reason is because i dont plan to have a long standing career as a prof
hallow wasp
you also don't know if you'll have an aversion to research in the future
thats why i want to tryit
modest rune
I dont want to be a professor bc i dont want to be a professor
is a confusing take
technically not wrong
hallow wasp
i mean all i want to do is experience pure math research and then move on with my goals from there
sure a university would be nice
pure sun
that's great
hallow wasp
but i dont think id like to be at school anylonger
pure sun
that's also why I went to grad school
and it's why basically everyone I know who got a phd in math
went to grad school
because they wanted to experience research in math
bronze pelican
Buncho graduated grad school
pure sun
some of them decided they liked it and kept at it in academia
sharp mulch
Buncho is one of the dinosaurs here
pure sun
and others decided they would rather do something else
hallow wasp
o ic
pure sun
I'm not even the oldest person here smh
hallow wasp
so just go to grad school first and then ill c
sharp mulch
Who is older
velvet dagger
Do you mean you'll figure out what you want to do after grad?
sharp mulch
Gomez?
pure sun
gomez
sharp mulch
zetamath?
pure sun
is several years older
zeta is many years older
zeta is like... in his late 30s or early 40s or something
velvet dagger
Or is it like, yeah I want to do research for 3 years and then stop?
modest rune
Im also older
blazing pawn
sam
pure sun
sam is also old
sharp mulch
modest rune
buncho just doesnt knownit
blazing pawn
sniped
pure sun
max is not older :P
hallow wasp
Or is it like, yeah I want to do research for 3 years and then stop?
something more arbitrary but yes
sharp mulch
sam is also old
hallow wasp
i want to do research professionally for x years then stop
sudden nebula
how much is old?
sharp mulch
Oh Max
modest rune
i was trapped in the body of an undergraduate in 1905
blazing pawn
Im learning so much about magnetism and how i dont care about it today
hallow wasp
until i stop caring/ having an interest in the experience
sharp mulch
I've found out that I'm teaching calculus
hallow wasp
woo!
sharp mulch
1st semester grad students don't get a choice
pure sun
but like, what would you have taught if not calc
sharp mulch
Other grad students can also teach stuff like multi/odes/lin alg
pure sun
yeah I figured it was set, I guess the way you said it made it seem like there had been other things youc ould have gotten
sharp mulch
All the intro math classes
sudden nebula
lin alg sounds cool to teach
pure sun
do they let first years do that though?
sharp mulch
Essentially
Maybe I'll get to teach lin alg in the spring semester
That would be fun
pure sun
(I taught lin alg for the first time last semester and it was a lot of fun)
sharp mulch
Buncho how to teach
pure sun
ange are you the official instructor?
hallow wasp
its just lecturing afaik
pure sun
no please don't just lecture
hallow wasp
lecturing and assigning hw
pure sun
please actually interact with your students
sharp mulch
I don't want to lecture for 90 minutes three times a week
pure sun
we should have a discord math pedagogy group :^)
bronze pelican
Yes
sharp mulch
But I'm not sure how much freedom I get in teaching
pure sun
but actually like if there are several people who are teaching for the first time (or maybe only second or third) you/we should actually try to talk about it together
one activity which ive done before is like
sharp mulch
I assume that eventually I will talk with all the other new grad students
pure sun
every couple of weeks someone says something which happened in their class which was tricky
crystal stone
what are you teaching ange?
sharp mulch
Intro calc
hallow wasp
i only tutored ecology/biology and math to HS students my first summer of college and i hated each session. id only like it when the invested students ask questions, this is the basis for my aversion to teaching for a long period of time.
pure sun
and then we talk about it as a group
crystal stone
Don't go too fast, things that are obvious to you aren't obvious to your students
sharp mulch
Math 115 - Calculus I
crystal stone
Things like limits, and derivative rules take time
sharp mulch
The course presents the concepts of calculus from four points of view: geometric (graphs), numeric (tables), symbolic (formulas), and verbal descriptions. Students will develop their reading, writing, and questioning skills, as well as their ability to work cooperatively. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and an introduction to integration. The classroom atmosphere is interactive and cooperative. Both individual and team homework is assigned.
crystal stone
Much longer than you'd think
hallow wasp
its a little silly tho
it shouldnt take too long but it does
AP AB Calc makes it take 2 months
crystal stone
If you haven't covered something at least 3 times
Then to the students you haven't covered it at all
pure sun
my biggest piece of advice is probably: try to meet your students where they are
sharp mulch
Oke
hallow wasp
i wish i had stage freight so that i had a better reason for not liking teaching
sudden nebula
i know i don't enjoy teaching, sadly
viscid pecan
If only we had better instruments!
well I think I have better motivation toward doing some serious math stat studying honestly with all this back and forth.
pure sun
for me I feel like, teaching is kind of like sharing a really good TV show with someone who hasn't seen it
which is what I like about it
thorn brook
I wish I could teach something, but I'm too noob for that now lol
I can explain addition, that's it
viscid pecan
well teaching isn't just knowing hte subject but also coming up with a systematic curriculum
thorn brook
yeah that's true
viscid pecan
its a PITA honestly
sudden nebula
i've taught in a academy, and is not that i totally disliked it but i have really bad social anxiety
i can't
i have to take too many pills
to even stand before these students
i know nobody cares, but
thorn brook
man that's honestly quite sad. I hope you're doing better with the anxiety!
sudden nebula
that's why i'm so unsure about pursuing a phd
pure sun
I agree that teaching isnt just about content knowledge
thorn brook
what did you guys teach btw?
pure sun
I've tutored for analysis and abstract algebra and I've taught calc 1,2,3, precalc, and lin alg
thorn brook
ouuff that's a lot!
sudden nebula
how old is a dinosaur? omg
blazing pawn
Buncho is right
teaching is about copypasting wikipedia pages
you dont need to know anything
thorn brook
I tried to write a small intro to abstract algebra and Galois theory. Didn't go well lmao, they literally really bad
I hate it
hallow wasp
wdym
thorn brook
but two people read them so
hallow wasp
y bad
pure sun
teaching is about copypasting wikipedia pages
hahaha
sudden nebula
probably yes
thorn brook
y bad
well first of all, I'm not that good at abstract algebra and I don't have the privilege to write these things. Second of all, you need to somehow write in a pedagogical way and I didn't really do that
pure sun
in terms of people who post here a lot (and not just people who come and ask one question and leave) the average age is probably like 19 or something
thorn brook
it's extremely dry
hallow wasp
you have the privilege
i believe in u
i also write dry
i blame bilingual and my stupidity
thorn brook
It's literally definition after definition and then some theorems and proofs. That's it
I can't really motivate any of the Galois things
hallow wasp
no examples?
pure sun
when you learned it the first time, did you ever get stuck?
thorn brook
oh yeah I do have some examples as well
pure sun
like, were there ever any definitions or theorems you didnt really understand
or like, examples which just didn't compute?
hallow wasp
i understand most the theorems, i dont remember the proofs
does that make me brainlet
like i dont remember proof for cayley theorem off top of head
or lagrange one with subgroups
pure sun
that's fine
thorn brook
well I did get stuck a lot of times lmao
pure sun
what finally helped you get unstuck?
was there a particular example which made things click?
or a way which someone explained something to you?
just doing a lot of practice exercises?
thorn brook
I don't really remember. I asked a couple of questions on the math stack exchange thing (I wasn't on this server at this time) and I sometimes just sat there until I got it
I don't think a example made things click
hallow wasp
the only class i didnt get stuck on was topology
i only remember one concept had me stuck for a little
modest rune
I tried to write a small intro to abstract algebra and Galois theory. Didn't go ...
this is a great thing
study why you hate it
become a better writer
pure sun
my point is that these are the things you should be writing if you're trying to do a write-up on a topic like this
modest rune
writing garbage is the first step to writing not garbage
im in the not garbage state and id like to get to the “good” one
i think most mathematicians never do
pure sun
don't just write down definitions, write down the definitions and then add your own "commentary". what is subtle or tricky? what example(s) is/are really enlightening and show off why it's a good definition? how does it relate to other definitions?
thorn brook
my point is that these are the things you should be writing if you're trying to ...
yeah and I did that. Every time I got stuck and got it, I wrote down the thing that I got stuck on in full detail and tried to explain that thing
pure sun
that's good -- I didn't get that impression earlier when you said it was just "definition theorem proof"
thorn brook
don't just write down definitions, write down the definitions and then add your ...
this is great advice!
pure sun
but yeah that's my opinion for how you should try to approach something like this
modest rune
i once wanted to write a blog series about like
shit i got stuck on and couldnt find on google
but as usualy
i got lazy
and distracted
thorn brook
that's good -- I didn't get that impression earlier when you said it was just "d...
yeah I was over exaggerating when I wrote that but it's definitely too dry. I will definitely keep this in mind, thank you!
pure sun
oof 3 is a lot
hallow wasp
is journaling about random things i learned ok?
hallow wasp
if i blog its gonna be about biology/math/random stuff strictily
hallow wasp
ur blog was about
pure sun
my counter-perspective to that max is that I think perspective is something which isn't given enough credit
hallow wasp
baez?
pure sun
like, it's not just about "is this fact known before" but also the presentation
hallow wasp
azimuth
modest rune
oh sorry let me rephrase buncho
modest rune
i think writing about known math in a better way is incredibly valuable
it just also makes me want to blow my brains out
pure sun
oh I see :P
haha sure I can get behind that
oh max did you know a SD who graduated this year in math
from chicago
hallow wasp
SD?
pure sun
(his initials)
velvet dagger
San Diego
pure sun
I guess I can ask you about him some other time, we did an REU project together a couple years ago and he just came through st louis last week
and we met up for coffee
sharp mulch
Lior Prachter has a math bio blog
pure sun
I have very strong opinions about him and I'm curious to know if yours match mine (if you know him at all)
pure sun
if i blog its gonna be about biology/math/random stuff strictily
the great thing about blogs is that they can be about whatever you want
thorn brook
tbh, I am considering writing a small text about very elementary topology. Nothing too advanced because I myself don't know a lot, but something that is very intuitive. Like trying to motivate and somehow "derive" a definition and explain why it's good. I think that I will learn a lot from it and it will perhaps stop me from "lying to myself" when I think that I understand a concept
bronze pelican
Rewriting math to convey your own understanding is good
sharp mulch
Of note, Prachter cites Daniel Litt's twitter in his blog
velvet dagger
He was in my house and was considering coming to UW actually