Have u taken discrete stuff
#serious-discussion
hidden bone
surreal sapphire
just had an exam on local fields and the prof complained that I explained stuff "like an algebraic geometer"
continuing hartshorne now
toxic schooner
surreal sapphire
also i signed up for an algebraic geometry seminar with that same prof after 
buoyant grove
I did the singapore one
toxic schooner
also i signed up for an algebraic geometry seminar with that same prof after <:o...
noice Lol
jovial ember
just had an exam on local fields and the prof complained that I explained stuff ...
Lmaoooo
timid spindle
how much on average do you get paid when someone reads your article?
leaden torrent
$0
leaden torrent
alternatively 0 yen
timid spindle
the what now??
pale orchid
you don't get paid
pale orchid
what's more, YOU pay to have it published
timid spindle
where does the money goes? like when I pay to read
leaden torrent
well usually not nowadays
pale orchid
the publisher keeps it
leaden torrent
it goes to the journal
publisher + editoral board
that said, please please dont pay for journals as an individual
timid spindle
wtf
leaden torrent
everything recent in math is on arxiv
timid spindle
that's so messed up
pale orchid
indeed, "you" means your department, corporately
timid spindle
everything recent in math is on arxiv
arxiv is a true baddie 
pale orchid
and yeah, there's free preprints everywhere
you can email the authors for a copy, even
pale orchid
about arxiv, just make sure the papers also have a published version, so you know they've been peer reviewed
this lowers the chance of wasting your time on crankery
timid spindle
I understand
Is there a way to get peer review?
without actually publishing on pay walled journals?
leaden torrent
sure, you could publish in an open access journal.
the editors for those are typically volunteers
but your field may or may not have one
timid spindle
would there be any degradation in the quality of the content?
or is it the same?
sorry for too many questions
I was watching this video
from Medlife crisis
there's like a woman who made everything free or something
dope
leaden torrent
the quality of content depends entirely on the journal
some of the best are open access, some of the worst are too
in any case, this isnt a big issue in mathematics because of the arxiv
timid spindle
I guess the quality depends on the team volunteering.
sour fossil
how large is "arbritrarily large"?
earnest knoll
how can I explain to someone that 1 is not an "arbitrarily large" value
neat lintel
that's vague
sour fossil
for most purposes, the first term approximation of sin theta = theta is enough
maybe the mathematics discord isnt the best place to say that lol
leaden torrent
in most contexts, "arbitrarily large" just means that the given quantity can be made as large as one wants.
"x_n approaches y as n gets arbitrarily large" means, if we make n bigger and bigger, x_n gets closer and closer to y
and keeps getting closer
as close as we want
earnest knoll
this guy was trying to justify sin theta = theta by saying sin was an "arbitrarily large" series and that "1 is an arbitrarily large value"
sour fossil
approximately equal
leaden torrent
...thats just nonsense jargon
sin(theta) = theta is a fine enough approximation for small enough theta
exactly what "small enough" means depends on your purposes (doing orbital mechanics where very small differences matter a lot? dont use this approximation lmao)
forest jackal
Is there a way to get peer review?
without actually publishing on pay walled jou...
you need to publish in reputable journals to be taken seriously. you personally won't need to pay for this, and you can (and should) make preprints available on the arxiv.
leaden torrent
in any case, 1 is not "arbitrarily large" since its a constant
its not an arbitrary value
its exactly 1
it can never be larger than 1
(at least, i sure hope not...)
forest jackal
(for all sufficiently large values of 1)
timid spindle
you need to publish in reputable journals to be taken seriously. you personally ...
Ah well here goes my money
wouldn't that affect similarity index??
leaden torrent
?
timid spindle
(for all sufficiently large values of 1)
${1| 1\to\infty}$
fathom swallowBOT
sixth sick sheik's sixth sheep's
forest jackal
Ah well here goes my money
wouldn't that affect similarity index??
wdym there goes your money?
timid spindle
wdym there goes your money?
I meant to the journals. If I ever rose to the status of writing an article.
neat lintel
Usually, you have no direct rewards for publishing papers
Just indirect ones (status, higher probability to obtain grants and good positions etc)
forest jackal
I meant to the journals. If I ever rose to the status of writing an article.
Like I said, the authors do not typically pay to publish in a good journal.
fringe needle
i really saw the importance of sharing ideas in math today
was working on showing that the cantor bijection from N^2 to N ((m,n) to ((m+n)^2+m+3n)/2) is indeed a bijection and i managed to get a nice proof for injectivity while a classmate got a nice proof for surjectivity
if we hadnt shared wed both have shit proofs for one or the other and would have come out of the exercise session having learnt a lot less 
toxic schooner
timid spindle
Like I said, the authors do not typically pay to publish in a good journal.
I probably can't publish in good journal. I can't do formatting.
Thanks for the discussion btw
rancid meadow
i cant imagine the barrier to a good result getting published is not being able to format it correctly 
sick burrow
When you're so good at formatting that you get Lorem Ipsum published in Nature
buoyant grove
the best formatting is still a blank page
sick burrow
especially for papers on vacuum energy
timid spindle
i cant imagine the barrier to a good result getting published is not being able ...
well I am not good at that either.
timid spindle
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1311997/
holy....
rancid meadow
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1311997/
when your university gives you bonuses based on papers published 
halcyon basin
Man o man
if only my younger self focused on math more
My life
s
been relatively easy when it comes to learning
I dont think my brain has a good method of handling feeling stupid
i feel like a kid again
with math being this giant behemoth my weak arms have no power over
Hell even the textbooks are written in weird wording I can't understand
toxic schooner
river spire
What is some forbidden maths?
stray kite
damn so
theres a mandarin course at my uni that i want to take because i want to learn mandarin but
it doesnt amount to any credits, just a certificate
should i do it or no
deep mango
What is some forbidden maths?
Did you know there's a hole at the bottom of math?
mild nebula
Umbral math
cerulean kernel
recently I learned the foundations of math aren't as solid as I thought
more like awesome!
if its true
ancient flame
what even is math
ancient flame
Did you know there's a hole at the bottom of math?
that's also a hole in the bottom of your mom
leaden torrent
reminder that the department of defense pours millions into HoTT research annually
their motivations for this are unknown
but probably some Forbidden Math ™️
meager sonnet
reminder that the department of defense pours millions into HoTT research annual...
Yeah it's sooo based
ancient flame
hott
meager sonnet
Remember you have the US military to thank for the homotopy memers
ancient flame
Homotopy of Tensor Trexes
meager sonnet
What math have you studied
sick burrow
Did you know there's a hole at the bottom of math?
logic is when iphone???
meager sonnet
Homotopy is pretty high level
wide lynx
literally like
sick burrow
is it?
wide lynx
baby level
sick burrow
Homotopy is like the first topic in alg top
wide lynx
i'm actually here to learn the name of a shape
leaden torrent
do you know the word "invariant"
meager sonnet
Yeah
sick burrow
which granted, is very high level compared to the math most people do
meager sonnet
And alg top is an upper undergrad to graduate level topic
wide lynx
it's more of a geometry question i guess
leaden torrent
homotopy is a certain relation (kinda) in algebraic topology that preserves certain invariants
deep mango
deep mango
homotopy is when you take something and pull it and twist it into another thing
sick burrow
it's just a synonym for homeomorphism
or homomorphism
they all mean the same thing
deep mango
gamma troll arc
meager sonnet
Homotopy is not homemorphism
leaden torrent
homiemorphism
leaden torrent
when you and your homie both crush on the same topological space and both agree not to surject into her to avoid beef between bros
meager sonnet
Not homeomorphic
latent forge
Going to be interrupting but I heard about modules but what’s the equivalent like idea of vector spaces like our modules just like the spaces are the vectors what is a span of a set of elements in a module how many linear algebra aspect hold my guess is my question
meager sonnet
Namington inject would've worked so much better for that joke
Modules are a certain sort of fucked up vector space
leaden torrent
sur = under
meager sonnet
Thank you math twitter
wide lynx
i just want to know the name of a shape ;-;
leaden torrent
so surjection is getting topped
meager sonnet
Uhh but actually like
leaden torrent
i dont make the rules
meager sonnet
A normal vector space is over a field
leaden torrent
hector space
sick burrow
hector space
meager sonnet
For example you've probably worked mostly with real vector spaces
latent forge
I have been ignored
meager sonnet
Where you have the vectors and the scalars are real numbers
latent forge
I get idea with vector spces
meager sonnet
I.E. any vector can be multiplied by elements of the field and there's the axioms about that
latent forge
But how many theorems are in shambles if you just let the field be a ring
meager sonnet
A module is not over a field but over a ring, which is a MUCH weaker construction
Uhm
Yes
latent forge
also i can only think of z modules
meager sonnet
You have to deal with a lot of commutative algebra and it's a much more pathological object than usual vector spaces
latent forge
is that bad
leaden torrent
also i can only think of z modules
group theorists irl
meager sonnet
Is smooth vector fields, and differential forms on a manifold are a module over smooth functions on the manifold
latent forge
like what about modules over polynomial rings
wide lynx
is it ok for me to just interject myself?
meager sonnet
latent forge
you are blewing my mind
meager sonnet
is it ok for me to just interject myself?
Sure
latent forge
we learning about derivations and pullbacks and pushforwards today in difftop
wide lynx
does anyone know the name of this shape?
meager sonnet
I think there's a lot of like, lower level examples that require some computation to get
And IDK commalg so I can't give any 
wide lynx
it's like a cylinder but it has its edges shaved off slightly
meager sonnet
An octagon?
wide lynx
no
wide lynx
bevelled cylinder?
meager sonnet
There's not gonna be an exact name probably
meager sonnet
Yeah Tiffany
latent forge
Also is there a different category for left and right modules
im thinking yea
because morphism is module homomorphisms
meager sonnet
Yeah
Left R-module
Right R-module
You can have something that's both left and right module
latent forge
so like r is commutative
if thats the case
or not neces
i dont think you would need that
latent forge
ok
meager sonnet
It's a module over
One right one left
There's a bunch of classifications of modules too
latent forge
wait
meager sonnet
Yeah
Group where (r * g) * s = r * (g * s)
g being group element, r being the left ring element, s being right ring element
Uhh I'm pretty bad at explaining this stuff
And kinda out of my depth
latent forge
idk what out of my depth means
nvm googled it
the amount of stuff is mind blowing tbh
sick burrow
idk what out of my depth means
is that kind of language out of your depth?
meager sonnet
Ok moth you make one
latent forge
what is an example of Sn modules lol
meager sonnet
Like IDK I can't think of like
blazing pawn
ideals
meager sonnet
Interesting example of R and then corresponding R-module
meager sonnet
I'm also on like 4 hours of sleep
blazing pawn
Oh heres something fun
so fix a (commutative w/ identity etc etc) ring R and take the ring of matrices M_n(R)
latent forge
lie group bullshit better not be
blazing pawn
any M_n(R) module N decomposes as the product of n R-modules
and thus has the structure of an R-module
blazing pawn
and in fact R-modules are equivalent to M_n(R)-modules
meager sonnet
Ty moth
blazing pawn
Mothy
latent forge
wait this is too much for me to handle
what are functors from this to other categories that are interesting
cerulean kernel
dang I wish I understood this
latent forge
there have to be some right?
blazing pawn
from R-mod to other categories?
meager sonnet
I believe forgetful and free R-module are adjoint
latent forge
what is adjoint meaning again?
blazing pawn
If you want something less like dummy then homology and cohomology are functors from Top to R-Mod
latent forge
im going to faint
blazing pawn
(abelian groups are just Z-modules)
latent forge
less dumbier?
meager sonnet
Moth does not like my example
latent forge
also
meager sonnet
The cohomology stuff is prolly harder though moth 
latent forge
submodules have a notion of normal right?
meager sonnet
Oh
latent forge
like
blazing pawn
submodules have a notion of normal right?
No not really
modules are abelian so you get normality for free
latent forge
every module can be quotiented by one of its aubmodules
but are there prime submodules and spectrums?
blazing pawn
Uhhh kind of
latent forge
cerulean kernel
so if i am in calc 3 rn how do i build to where u guys are
i would like to to try to go ahead of my classes
latent forge
oh wait wtf
im guessing here
for a module over the reals
ideals correspond to vectorspaces
like
sub vector spaces or whatever you call them
like the span of those elements
blazing pawn
idk what you mean by modules over a real
vector spaces are just modules over a field
latent forge
iknow but for visualization sake
latent forge
like modules over R2
meager sonnet
Did you really say "Hurb"
blazing pawn
or ideals of R
latent forge
no but the corresponding definition for generators of elements of a module
blazing pawn
I dont understand what exactly you're trying to say
latent forge
So you know how rings have generators and ideals have generators
latent forge
Yea Im trying to think up a definition for prime submodules
limber perch
I thought hurb was the name of someone here for a while
latent forge
bruh
blazing pawn
You can define it in the obvious sense of xy in N subset M implies x in N, y in N
limber perch
“this guy’s got a lot of accounts”
blazing pawn
Like just copypasting the definition for ideals
latent forge
can you just copy and paste notion for spectrums?
blazing pawn
Huh
latent forge
like spectrum is collection of all prime ideals
blazing pawn
Like spec of a module?
blazing pawn
Spec(M) exists but i dont know if its particularly useful
latent forge
well say M is a vectorspace
or M is module over R2
then that should correspond to all lines through origin and the origin itself
and thats useful right?
because you got objects like rp1
blazing pawn
Wait im 4headed let me be clear
So a submodule of N of M is prime if for ax in N, a is in (N : M) or x in N
blazing pawn
then that should correspond to all lines through origin and the origin itself
What do you mean
Spec(M) should?
meager sonnet
Spec(M) for any M over R^2?
latent forge
holy shit
blazing pawn
The module does not have ideals
latent forge
mb
i meant what is collection of all prime submodules
or what are the prime submodules if not lines
using your definition for prime submodules
blazing pawn
idk if theres a general characterization
latent forge
ok ill spend time trying to decipher this myself
but where do i go if i wanna learn more about modules
too many cool things pop up
like if there is an equivalent notion of dimension
rancid meadow
ncatlab dot com
blazing pawn
Even for vector spaces like, a submodule N of k^n is going to be prime iff its (N : k^n) is prime and (0) is prime in the quotient k^n/N
Yeah i think this breaks down for positive characteristic lol
or maybe not
idk im too lazy to do this rn
meager sonnet
ncatlab dot com
Based!
latent forge
i guess im too excited
blazing pawn
Not rly i think its probably neat
latent forge
its just that fiona wooed me with the connection to difftop
blazing pawn
im not sure where Spec(M) would be useful
rancid meadow
latent forge
its not sarcasm
rancid meadow
lmfao
blazing pawn
Ring spectra are like
idk commutative monoid or some shit
in the stable homotopy category
spectra whose smash product has nice ring like properties
meager sonnet
A ring spectrum is a spectrum in homotopy theory where smash product / maybe steenrod operations make it a ring or smfh
Yeah
latent forge
ok
we were just talking about equivalent notion of spectrum of rings to spectrum of modules which is diff ig
also pardon my stupidity but idk what stable or infinity categories are
and whenever i here infinity categories or see things like infinity-(something) im immediately intimidated
cerulean kernel
thats is funnny i saw a vid yesterday about infinity categories and infinity cosmoi
latent forge
care to explain?
cerulean kernel
cerulean kernel
oh well in a category like the category of rings there is a map from one ring to another
and in infinity rings there is maps between maps
and maps between those maps etc etc
odd narwhal
Riehl is based
latent forge
so is an infinity category a countable generalization of 2 category
cerulean kernel
I don't know enough to say
latent forge
what classes are you doing
odd narwhal
But i'm doing intro measure theory, intro complex anal, intro probability, advanced probability, algtop 1, intro to rings and fields and calc 3 (not really calc 3 but that's the closest equivalent(
odd narwhal
u live states?
No
cerulean kernel
so is an infinity category a countable generalization of 2 category
looking at it more I think so
odd narwhal
Haven't we talked about this
odd narwhal
I'm not going.to.the intro probability lectures
And I don't have an exam in advanced probability
The grade is hw based
latent forge
doesnt excuse 5 classes
odd narwhal
7
cerulean kernel
man i am at a junior college so the highest math i can do is calc 3 or linear algebra no rings fields analysis etc
deep mango
latent forge
oh man
deep mango
(to shin not to mystique)
odd narwhal
I'm already in one lmao
cerulean kernel
w math?
deep mango
Prepare to be heckled shin
cerulean kernel
sorry lol, very impressive though
deep mango
About how you manage a relationship in math
odd narwhal
It's all good lmao
deep mango
This is why I told nine i wasnt in a relationship even though in reality i've been married for 12 years
rancid meadow
no u have 24 idiot
odd narwhal
I'm just extremely productive on tight schedules
latent forge
you orobably have 72 tbh
rancid meadow
lmao so much for 7 math classes cant even know how many hours in a day
latent forge
or you are losing gf
deep mango
Im with shin on this
leaden torrent
ryc has been married to his anime waifu for 15 years
latent forge
🤔
deep mango
People are always like "lol how do u have enough time in your day to do all the crap you do"
latent forge
doubt
odd narwhal
Same ryc
deep mango
And thats not even as much as many people on this server do
latent forge
shin is lying
odd narwhal
But sometimes it does feel like I do way more than I think I have time for
latent forge
he literally comes here to talk about alg top on weekends
deep mango
Or at least its usually not as much
You just dont think about how its all tetrised in and then somehow it works itself out
latent forge
we arent on the same time scale
odd narwhal
I also like, only have 4 days of school
latent forge
we are all on 4x speed compared to you
odd narwhal
Since I'm skipping probability lectures
deep mango
Shin only talks about ergodic theory with "applications" to number "theory" now
deep mango
high dome
deep mango
#❓how-to-get-help @high dome
latent forge
how were you raised as a child shin?
odd narwhal
I'm gonna study ergodic theory so hard my.prof will do HIS research under ME
latent forge
im going to replicate that for my children
odd narwhal
how were you raised as a child shin?
Well? Idk what kinda fuckin question is that
latent forge
idk give your answer however you feel
i will without thought raise my child the same
deep mango
Nine thinks you are a delinquent and a sadsack
odd narwhal
I was raised so that one day I could characterise the orbits of the diagonal group on the space of lattices with covolume 1
wild lantern
I'd get too cranky from loss of sleep if I took 7 math classes at once.
latent forge
shin is on their second math PhD, manages a Harem, takes 7 classes lectures 4 of them, has a full time job, and uses discord in lesiure time
rancid meadow
i dont think its possible to take 7 math courses a semester at uoft?
odd narwhal
i dont think its possible to take 7 math courses a semester at uoft?
lame
deep mango
lol anyone else with me!!? social life, academics, sleep, pick 2 out of 3 🤪 🤣
wild lantern
Can you not get a dept waiver or something?
odd narwhal
our upper bound is 30 credits and you can still take more if you get special permission
rancid meadow
like they limit you at 6 but you can ask to get the limit raised to 7 I think?
latent forge
i guess it isnt that crazy
wild lantern
lol anyone else with me!!? social life, academics, sleep, pick 2 out of 3 🤪 �...
At a certain pt it's a health issue
odd narwhal
calc 3 is weird still
it's not calc 3 really it's vector calc sprinkled with differential form memes
rancid meadow
but like I think you literally couldn't have a semester with 7 courses? without running into weird pre-req issues
latent forge
removing the easy classes he only has 3 hard classes
deep mango
My friend takes 7 classes a semester at his engineering school but i think thats different
rancid meadow
yeah engineering is different
cerulean kernel
I enrolled into two different junior colleges so I could go above limit in units
rancid meadow
most eng kids do 6 - 7 courses/sem for the first two years iirc
deep mango
Thats sully
latent forge
wtf is intro to rings and fields
odd narwhal
They say that intro measure theory is one of the harder classes (I mean specifically this intro measure theory class)
latent forge
not galois stuff
rancid meadow
Shin what university do u go to
latent forge
or is it galois stiff
rancid meadow
oh nice
wild lantern
Galois summa theorem
odd narwhal
I'm very excited to take galois theory
deep mango
Galois summa deez theorems.
latent forge
shin assuming you know everything perfectly besides probability classes
deep mango
Yawn. It's just covering theory.
latent forge
it seems mangeable
wild lantern
I think my abstract algebra book talks about galois theory stuff at the end.
Seems exciting.
odd narwhal
it's not an easy class i've heard
cerulean kernel
oh i see so when we say calc 3 we talk about different things XD
odd narwhal
this class is only for math majors
latent forge
is it called calc 3
rancid meadow
calc 3 is mvc?
coarse rose
in math can speed be negaive?
rancid meadow
usually
coarse rose
negative
odd narwhal
we did mvc in infi 2
rancid meadow
everything can be negative
coarse rose
🤨
odd narwhal
I know like half of the algtop stuff, and i'm currently studying intro probability and I know most of the measure theory class
wild lantern
Isn't speed usually intended to be the absolute value of velocity though?
cold needle
deep mango
In math speed cannot be negative
Speed is the magnitude of velocity
Velocity is a vector
wild lantern
Ppl def say speed when they mean velocity all the time though.
deep mango
Magnitudes of vectors are always nonnegative
rancid meadow
So is THIS THE BULLYING SERVER, I JUST JOIN AND BULLY PEOPLE AND NOT A SINGLE MODERATOR?
wild lantern
So I suppose I'd just try to interpret it charitably.
deep mango
Velocity is the version that can be positive or negative
latent forge
if you want reperations rumrum ill send you 69 cents via paypal
rancid meadow
what a milquetoast answer ryc
odd narwhal
I know like half of the algtop stuff, and i'm currently studying intro probabili...
only things I haven't covered myself yet is like, proof of radon nikodym and related theorems
latent forge
milquetoast
coarse rose
like i got a math problem about the aroc of the speed of a rock but my answer was negative but in the answer book it says its positive. so am i supposed to change it to positive if i get a negative?
deep mango
If f(t) is the position of a particle at time t, then f'(t) is its velocity and |f'(t)| is its speed.
Oh average rate of change
odd narwhal
wtf was that
deep mango
Thats tricky
odd narwhal
oh you changed your name
deep mango
Or
odd narwhal
nvm
latent forge
ya
deep mango
Maybe not
coarse rose
ya thats why im lost
deep mango
Ok so the aroc is the final speed minus the initial speed over the total time
Wait
Im spoonfeeding in discussion
This is not a help channel
coarse rose
oh
deep mango
Anyway I told you that the speed is the absolute value of the velocity
mortal oasis
RYC im not sure if you are new to the server but please dont help in this channel.
deep mango
So do that to the final and initial speeds before computing the aroc
rancid meadow
RYC im not sure if you are new to the server but please dont help in this channel.
deep mango
odd narwhal
ryc i'm not sure if you are new to the server but please don't help people
this goes against server culture
rancid meadow
you are making this server worse for us all Ryc
latent forge
quick ryc
mortal oasis
i have to mute you now ryc
now? RYC has been muted for me
cold needle
latent forge
why should anyone care about operator theory
deep mango
Hi all! I'm new to the server. My name is ranya kumoschalkboard but you can call me RYC for short (pronounced "reek"). I love egg bagels, four cheese pasta, and taking short walks by the beach. Excited to meet you all!
latent forge
hurry before mute
odd narwhal
Hi all! I'm new to the server. My name is ranya kumoschalkboard but you can ca...
hi rice! what kind of math do you like
mortal oasis
wait you prounce it reek? I always have said it as R-Y-C
deep mango
Excuse me? Who's rice 🙂
mortal oasis
RYC nice to meet you! What are your thoughts on the song Thunder by Imagine Dragons?
deep mango
hi rice! what kind of math do you like
Oh. I'm not super good at math but I really like anabelian geometry of martingale-valued arithmetic schemes. I'm kinda quirky like that ;)
brave hollow
I have been pronouncing it rice all this time
mortal oasis
hi rice! what kind of math do you like
I like the Collatz Conjecture im about to solve it
odd narwhal
Oh. I'm not super good at math but I really like anabelian geometry of martinga...
Do you know elementary theory of heights?
I think you might like mochizuki's work
he's very quirky
deep mango
😇 I'm go to Harvards in fact!
deep mango
latent forge
ok
deep mango
Alright alright
latent forge
ty google
wild lantern
Which historic mathematician was the cringiest?
odd narwhal
<:sully:651816820122189834>
Hey I didn't mean it sarcastically but you chose to take it that way because you are insecure about your music tastes
deep mango
Are we gonna pretend that my music taste is bad because I dont like math rock and midwestern emo
mortal oasis
"And get this, just when you think he'll say 'thunder, feel the thunder' again, good ol' Danny Reynolds comes in with 'lightning, feel the thunder!' Imagine D has to be one of the greatest bands of our time, I'm telling you."
latent forge
you know how projective spaces are a thing
what if you can define them via submodules of modules
and then show equivalences of definitions
wikipedia has my back
mea culpa
i meant generalize the definition
nvm
thank the lord for mathematics overflow
deep mango
Nevermind
There is no rain and the train isnt here yet
"""timed transfer"""
Thunder is literally fine
latent forge
There is no rain and the train isnt here yet
welcome to da big appl
odd narwhal
newark is just new york said with a new jersey accent
deep mango
Thats definitely false
The y is still emphasized and the stress is on the second syllable in new york
It's like "new YOHK"
newark is "NEWahk"
odd narwhal
close enough
bronze pelican
NEW UEEUAROK
blazing pawn
Oh. I'm not super good at math but I really like anabelian geometry of martinga...
So true
This was a targeted attack
deep mango
tawdry bough
What type of math would calculations involving volatility be?
tawdry bough
Yeah that's true but there are multiple ways to calculate it with varying degrees of precision and accuracy. I'm looking for a book or a resource to dive deep into it and want to know what to search for. I'm afraid statistics is a bit too broad to find what I'm looking for.
But I'm actually not even sure if it could even be considered a 'type of math' to be honest
It's a long shot, I know haha
I don't think it's asset pricing. It is the reason I want to dive deep into volatility but asset pricing material really seems to gloss over it and not give it second thought.
buoyant grove
Yeah that's true but there are multiple ways to calculate it with varying degree...
ito calculus is what you are looking for
and the entire theory of stochastic differential equations built on it
tawdry bough
ito calculus is what you are looking for
Yeah I considered stochastic calculus but I'm not 100% sure that's what I'm looking for
One of the things I'd want to do is what these guys are doing in this blogpost
I also found this
And what I'm specifically looking for is what the second answer mentions in their third point
I need to look at the first answer better though because it could be what I'm looking for but it's a bit over my head right now so it's hard to tell. (And it is stochastic calculus so you might be right)
latent forge
thats xool
next blade
in the typical way you use the term this is incorrect. volatility as per the most common use of the term, implied volatility, (though to be fair the term has several meanings) is the wrong number you put into the wrong model to get the right price. it's unclear what @tawdry bough here is trying to do, but if it is the third point of the second answer as you say it is, all you need to know from stoch calc is that variance of Brownian motion grows linearly with time.
sonic sentinel
i had a dream and all i can remember is that someone tried to put the "by whom?" template into a wikipedia article by writing "by whom?" into the article
neat lintel
Hey
Do you guys know if there are books or resources that teaches math through programming ?
Like uni Level math
pale orchid
i have never seen such a thing, only backwards
rose dock
Haskell road?
neat lintel
It's just that I learn so much and better that way
For example a problem to solve in coding and they just give math concepts required to know that can be used to solve it
neat lintel
For fun mainly, I wanna code software like audio, data analysis, algorithm, cryptography, and other stuff that I don't have on the top of my head rn
Statistics too
neat lintel
And how much math
Wdym by how much ?
blazing pawn
I mean what do you want to learn
neat lintel
Calculus and analysis, lin algebra and discrete math
Probability and statistics
The basics
tawdry bough
Why don't you just start one of the projects you want to do and learn whatever you need to learn to do that project along the way? That way you immediately get to apply what you learn and it will be exciting to see the progress
No need to learn everything before starting. If you don't keep applying the material you learned, you'll forget half of it before starting your projects anyway
neat lintel
Yeah I 100% agree
pseudo blaze
Solve: d2y/dx2 - 2 dy/dx + y = x^2 + 4 e^3x ???
pale orchid
Solve: d2y/dx2 - 2 dy/dx + y = x^2 + 4 e^3x ???
you were told to check #❓how-to-get-help
pseudo blaze
ok
latent forge
dilemma @pale orchid
now ur mod nice
again
what do you tel prof via email if this ur situation
you are following topics in class but you are noticing you are slow on homeworks
you are in process of getting ur shit together but it might take a while
how do you format this in a way such that the prof will care and understand?
deep mango
is anyone not slow on homeworks
if you're fast on homeworks then why are you in the class
i feel like this is a "mention it in office hours and ask if they have tips" situation instead of an email situation
crystal stone
if you're fast on homeworks then why are you in the class
sometimes you are required to take certain classes to graduate
regardless of your ability
deep mango
sure but my point being this is not a problem, it's a good thing
crystal stone
Oh yeah, doing homework quickly isn't an issue
Unless you're paying a lot of money to learn something you already know
latent forge
no
i mean im late
its due at a certain time
and i submit two days later
not because I dont care, but I have trouble making deadlines for homework
but im def locked into the class and understand the lectures
whole sierra
@atomic cypress am curious
we've talked a bit before
what do you do now?
I remember you mentioning you studied probability/ stochastic processes and so on
whole sierra
what year? later on in studies i assume?
actually im very curious --- why stochastic pdes?
im only sophomore so v much still learning this all
but it feels like there are better sell-out paths now, no?
even just numerical methods lol
most of what I've studied so far has been oriented on systems programming in CS + analysis and PDE stuffs ---> numerical methods + computational math sort of stuff. as of late ive been a CUDA code monkey for a post doc here. don't think I want to study this for years
in short, is probability an L?
atomic cypress
3rd year. I do stochastic calculus applied to theoretical physics. Looking at general renormalization/regularization problems.
I think there are better sell-out paths but I am very confident in my outcome, thanks in part to the nepotistic networks afforded to me by my department.
atomic cypress
I don't do that much coding, mostly theory now. Have also been thinking of writing a survey monograph on a subject.
With a professor, naturally. I'm not really an expert in anything yet. 🙂
whole sierra
what are you looking to do afterwards?
atomic cypress
That said, I'm going to do some ML-type stuff in the near future possibly.
Oh, postdoc.
whole sierra
ah
atomic cypress
Nah the ML is related to my work.
atomic cypress
No haha, it's going to be more general.
Some kind of ML-importance sampling mix, probably.
The point being to improve Monte Carlo speed for some stochastic PDEs.
Anyways I intend to do a postdoc afterwards because there's more research I want to do than I can fit into a PhD.
whole sierra
fair enough
atomic cypress
After I finish what's on the horizon for me, I might sell out. 
No particular attachments to academia besides.
deep mango
atomic cypress
I love nepotism
whole sierra
definitely feels like there are a lot of places happy to lock up freshly minted phds in rooms working on whatever
granted, with a fat stack each month
deep mango
atomic cypress
We also have a geometric measure theorist in our department working on AI theory, I'd love to work with him if I get free time.
🤞
whole sierra
lol
atomic cypress
Well I already have free time, I mean if I spend my free time on something other than YouTube.
whole sierra
over the past year
ive realized that its like
much better to "over"-commit than undercommit and tell yourself you're going to read/ work on other things
at least for me
like
I get significantly more done each day than I would otherwise
atomic cypress
Oh I've long since stopped paying attention to concepts like motivation or whatever, I do it or I don't, hopefully I can live with the consequences
There are a few things I want to do after my PhD part time, like become a reserve officer in the Navy, since I'm a big fan of boats.
whole sierra
boats are cool
velvet dagger
Lol I feel like there are easier ways to interact with boats
Can you even do military part time?
bold ferry
haha
atomic cypress
Yes, depending on the branch and role it ranges from trivial to get into for anyone with a higher degree, to competitive and not even guaranteed for a PhD. Loosely speaking I'm aiming for the latter.
The prototypical reserve officer is a reservist surgeon or medical researcher, they have a much easier time getting in than a mathematician/physicist.
For obvious reasons.
But they're also aiming for a different role.
buoyant grove
get rich and buy a boat
deep mango
Lol I feel like there are easier ways to interact with boats
if i didn't have moral qualms with this, it actually was one of my backup plans (and potentially still is)
it's the best way to live on boats a lot and still get to do something researchy
besides like
becoming a marine biologist
and that's not exactly trivial to pivot into coming from a math undergrad degree
neat lintel
becoming a marine biologist
is that a jojo reference
thorn brook
ryc like fish ☺️
neat lintel
Jotaro is a marine biologist in parts 4-6 of Jojo
vast surge
if i didn't have moral qualms with this, it actually was one of my backup plans ...
I mean my backup plan isn't the navy but the navy's nuclear program that they tried to recruit me to
You get to do submarines and nuclear warfare
But also there's a lot of ethical question-marks there that I'm not sure I'm comfortable with
deep mango
yeah
stray kite
do you usually learn multivar calc in analysis courses
deep mango
I dont think its that common in a first analysis course
Oftentimes thats one of the big topics in a second course
stray kite
i see
wild jay
hi guys
vast surge
My creative writing class is kind of hilarious. I wrote a poem for it where I used the tale of Orpheus as an allegory for depression, and the first comment I got on it was "it seems like it's a retelling of the story of Orpheus". Like, yeah, it's in the title. Great deductive work.
leaden skiff
is this literary analysis?
vast surge
Creative writing, but the class are meant to offer comments on eachother's writing.
sick burrow
Lmao
neat lintel
distant gust
I already post question on question 0
distant gust
Okaay
distant gust
hope you enjoy your stay here.
👎🏻
gentle bay
Lmao what.
distant gust
what level math
College
neat lintel
there are so many channels for college level
distant gust
I already post in question 0
neat lintel
I mean. It's kind of boring but I could help you
that's still okay
the inner struggle between helping someone and dying of boredom
distant gust
I already ans the question but i have trust issue on myself hehe
Idk if thats right or wrong
Can I dm u? @neat lintel
neat lintel
sounds like you're not sure if your answer is right
neat lintel
Can I dm u? <@456226577798135808>
sure?
hollow flame
just moved to brooklyn like a month ago
any thoughts on where i might be able to access a physical collection of like higher math texts
like a university library anyone can walk into or
even a specialty bookstore? its crazy difficult to find any info online
latent forge
nyc piblic library
hollow flame
i went to the big one
latent forge
any popular college has em
hollow flame
they dont have any physical collections
hollow flame
i want to browse :(
hollow flame
if i want a specific book i can just libgen it
latent forge
textbooks usually not in public libraries for good reason
thats not true
I have a book you cant ever have
two actually
hollow flame
oh?
hollow flame
what are they on
latent forge
its trigonometry
hollow flame
like. high school trigonometry?
latent forge
well one of the books isnt printed but its acessible via amazon
i didnt know there was trig beyond highschool
hollow flame
i dont know if there is either actually
theres like
some rarely used trig functions
like idk versin
which im pretty sure is just 1-sin?
so like whatever
theres also hyperbolic trig but theyre only really related bc theyre both second derivative eigenfunctions
maybe fourier analysis would constitute a more advanced trig topic
anyway yeah i guess ill just reach out to different colleges until i find a friendly librarian
fair mural
do people even really use versine or anything like that anymore?
hollow flame
i only ever see it in those charts that have "all the trig functions"
wanton harness
like. high school trigonometry?
hehe, thats what im in and i wanna die
steel sorrel
hehe, thats what im in and i wanna die
Same but our advanced class is so behind rn we aint even touched ut yet
wanton harness
Same but our advanced class is so behind rn we aint even touched ut yet
Im legit a grade ahead and in honors
I wish i was in Algebra 2 instead
steel sorrel
Lol alg 2 sas a joke for me
steel sorrel
Im legit a grade ahead and in honors
Also, like 80% of the kids at my school are an entire grade ahead
Its cooler to be 2 grades ahead tho 😔
wanton harness
Also, like 80% of the kids at my school are an entire grade ahead
most of the kids at my place (in florida) are a grade behind
steel sorrel
Oof
Im in texas (which has an extremely bad education) but my hs (not telling cuz thats private stuff) is one of the best public ones in the state i think
wanton harness
no need to brag
steel sorrel
Hey its ok man texas doesnt even have that many good schools in the first place
cold needle
steel sorrel
Plus our school is known for cheating a lot
cold needle
:megasully:
hollow flame
im a precalc teacher
atomic cypress
ew
hollow flame
but actually my students already know trig and are starting calculus second semester
steel sorrel
Dang
hollow flame
its "pre-AP calc"
steel sorrel
But copyrights lmao
atomic cypress
we need to stop teaching math and watch what happens
steel sorrel
we need to stop teaching math and watch what happens
Then the advanced classes get behind the normal classes
Actually what happend to us
Our teacher was gone for a full week
Then the nexy
And then another
hollow flame
whaaaat
steel sorrel
And then we didnt know sht
hollow flame
at that point you need someone to take over?
steel sorrel
So we an entire unit behind 🤫
hollow flame
like tf
steel sorrel
Yeah
hollow flame
ill make sure to tell my students to drop out
velvet dagger
High school education is pretty bullshit as it's currently done tbf
That said "education is bad" feels like a teeny tiny bit of a stretch
novel minnow
High school education is pretty bullshit as it's currently done tbf
how would you fix it?
velvet dagger
Practically it won't be fixed lol
You have to change the fact that school is largely treated as daycare at early levels, you have to remove the influence of most parents, put a lot more funding in education, especially to make teaching a more attractive job than it currently is, find a way to enforce educational standards without standardized testing (incentivizes teaching to the test)
Massive culture switch
And it would need more honest and competent politics than what we have now, possibly better than anything humanity is capable of pulling together
If people are willing to give me authority to make things happen and pay me a nice salary hmu
Until then my rule is, if I have kids I'm gonna make enough money to put them in quality private schools lol
And I'll just accept reality as it is lol
neat lintel
lol
atomic cypress
literacy is overrated, im doing a phd and i cant read
velvet dagger
Ur face is overrated
cold needle
i am underrated
velvet dagger
Mood
cold needle
Oh
ancient flame
discussion-n can be rewritten as n(discussio-1)
crystal stone
And I'll just accept reality as it is lol
No you don't pay for quality private schools
You buy a nice house in a nice neighborhood - the schools are partially funded by property taxes from the area
fair mural
lol what happened to the channel name
velvet dagger
That's also true, I mean probably it'll depend on where exactly I am
And how my financial situation is
velvet dagger
If it turns out the private schools are just better™️ than the public ones, even in the good neighborhoods, and I've got cash, then hell why not
crystal stone
So I can say this about private schools after working in that sector
deep mango
crystal stone
The teachers are less qualified than public school teachers ~ many private school teachers don't have teaching credentials
Also you get paid significantly less as a private school teacher
deep mango
what about sending your kid somewhere where they have an opportunity to learn how to be a human being
velvet dagger
eager crescent
what about sending your kid somewhere where they have an opportunity to learn ho...
We don't do that on Earth
deep mango
i'm sure there are private schools which afford that opportunity
velvet dagger
Moonbears: It's probably dependent on which ones no? Like I imagine generic place N, public or private, is nothing special
deep mango
the ones i am familiar with do not
crystal stone
Unless you're doing some specific language/cultural immersion I actually think public schools are better
velvet dagger
But for instance, having went to an international school for high school which was private
crystal stone
Moonbears: It's probably dependent on which ones no? Like I imagine generic plac...
Even high end ones like mater dei in Orange county
Pay a lot less and the teachers are less qualified
velvet dagger
One significant advantage was that the college counselor knew the students very well
crystal stone
The good ones that are OP
Go for like $30-40k/year
Or more
At the HS level at least
velvet dagger
In fact my college counselor on a trip met the UChicago adcom and rambled about my being good. When Penn visited my HS the adcom and I talked and apparently I gave off a good impression
Guess where I got into for college
deep mango
crystal stone
I dunno, I went to public school all my life and I now work in the private sector for math education
velvet dagger
Stuff like that idk feels like the advantage of a private school
Ryc why are you sullying lol
crystal stone
In general, I think public schools have been better in the corresponding areas
deep mango
is that an advantage you want your kid to have?
velvet dagger
Absolutely
velvet dagger
If I have kids I want them to have whatever opportunities they can to succeed
Aside from like
Cheating and the like
deep mango
i want them to do what is fulfilling for them with their own direction, and not to set up a complex web of opportunities for them to wade through
velvet dagger
Obviously I won't make calls for them, hell if they think about things and come to the decision that, hey maybe college isn't for me I'll try a different path, as long as they're doing what's right then go for it
But like
Whatever path you take there are factors that influence your success or failure
And if you can give your kids the best cards in whatever direction they take
Why not?
wooden flax
hm
deep mango
cause having the best cards isn't always the way to a healthy, fulfilling life