#serious-discussion
1 messages · Page 449 of 1
I am go to Harvards.
Harvard is pretty cringe, they require subject gre
why arent u applying to penn moth
wtf
(this is zoomed in)
someone got a 1600 at ur school?
(and for early decision)
yes probably val
Many such cases
idk tbh slim i have no idea if anything i does looks good on a college app 
*anything i do
Truncated y axis
ya idk if thats a thing but i hope having a math prof rec will be helpful
??
Bruncho no
i think i will have good letters
cant u just email a prof and be like "look at all my math acheivements pls tell the committee to accept me 🥺"
the person at primes said that my columbia profs letter was extremely positive
yeah I just forgot to email my teacher
coconut mall
I forgor 💀
are u applying to columbia
No jesse im not applying to anywhere in the city
columbia seems cringe
dont want to live near family
Woke
ill see u at harvard moth
Woke [2]
obviously a corpo lawyer though cuz idc about humanity and just want to sit in a corner office on the 50th floor and sip whiskey
ya i think itd be wise to ask people at harvard how they deal with first years who know what sheaves are
as they should
What about first years who know what copresheaves are?
begone, wench
they go to mit (derogatory)
lol
Is there even such a thing as a copresheaf


lol
ban dami
Its just a functor
Oop didn’t see ultras
Sorry
Turns out these are actually just functors.
Why is that tho
I have no clue
Lmao
wait so what exactly did Emmy Noether do
she like developed a lot of early algebra right?
what was the state of algebra before her
actually what is just the history of algebra in general
because I know when Galois did his work he thought of things very differently than we do now
Ah ok
Something like "abel ruins everything"
"abelian" group you mean just "group"?
abelian means commutative group
Should be called all commutative group
yes, so just any group
or abelian rings
non commutative objects are a lie
all finite groups are a subset of a symmetric group and symmetric groups are obviously abelian because that's what "symmetric" means
what about matrix multiplication
Commutative objects are a lie.
any group is a subset of any other bigger group if you just relabel the elements
turns out, the part of math where you actually have to write the paper is annoying
Yes
Probably the worst part
Remember having to write up problem sets?
That was bad too
especially since I'm an undergrad working with a postdoc so I barely know what's going on lmao
non-abelian groups? cringers
I barely know whats going on in general I just learned set theory like 2 weeks ago and I'm still unsure of my grasp on it
you learned set theory? prove the axiom of choice
I think proving axiom of choice is out of my reach personally
@cold needle
It's on my laptop now
lmao
top right corner
nice
Now if a professor ever looks towards me during a lecture for whatever reason
They will see it
god i wish i had that
same tbh
not same tbsh
to be same honest
beastmode
based tab hoarder
Damn
gaming set
SHEEESH

arch destroyed
give your top 2 then
SSSS Gridman Akane Shinjo
worst girls
isnt that just everyone in re:zero
worst girls
isnt that all anime girls
also i like ur status
i would argue that the criteria for the mug index are distinct from those used to determine best girl
I would argue that u should seek help
x2
i see that we are jealous of my mug drip
Yeah, I envy you
now i have 3 mugs total

??
🪄
leviosa
not leviosaaaah
I simply drink all my warm liquids from plastic/wax lined paper cups so I can get all that xenoestrogen intake
this is correct

do you happen to go to a university in virginia 👀
nope
mass
I do
what part of my laptop screen makes you think that however
he self doxxed already
oh, nothing
but I sent a pic of those stickers to my friend and they were hoping lol
ah well no lol
im gonna be busy enough in the next 4 years leading a massive reform of our anime club
my final goal is to beat the princeton anime club
o7
they know what they're doing and they're doing it much better than the rest
sheesh
@analog salmon actually on that topic, i was investigating uni anime clubs the other day and i found something disturbing
it seems that in 2016
many anime clubs died at the same time
interesting
:thinkings:
does anyone know what branch of maths is Measure and Integration Theory with Probability
if i have questions, what channel do i post them into
someone does, probably
Measure theory for purposes of probability can go in #advanced-probability
it doesnt really fit any of the advanced stuff
If it's a plain measure theory question then #advanced-analysis
sweet
@astral marsh use ublock origin
Idk what ablocker that you’re using is but I recommend ublock origin
True
tor is the only great browser of our time 🥸
browsers are bloat
all browsers are bloat
request webpage and read html
browsers are for consumers
bloat
wait what how are you stopping ads on twitch
@brave hollow
\

proxies
buy a bunch of proxies
or vpn to some random country which twitch doesn’t give ads to
'Video Ad-Block, for Twitch'
as well as ublock adblocker
idk which one it is but i have both of them installed and i get no ads on twitch
weird ok
then get the one i said first
sorry yea thats why I pinged yea cause I have ad block installed and it wasnt working
ill check it out again
thanks
uninstall your other adblockers
ill give that a shot
nice pog
Noice
Ultrasocks
I got assigned 8 weekly sections of remedial algebra
You know how fun that sounds?
well, just study hard and im sure you'll pass
I've just moved in to my apartment and there is already a mold problem...
Take pictures and tell the landlord
Theres been many cases where they will try to pin it on you
Yes I have
wow, thats really cool
free group
No
it would be 0.01cm^-1 = 1m^-1 I think
why 😳
if you have something... once per metre.. then you'd have something.... once per 100 centimetres... or 1/100 = 0.01 per centimetre
oh ok I kinda see, thanks !
fyi this is analogous to how 1 m² ≠ 100 cm²
indeed, a 1m-by-1m square is actually 100cm-by-100cm, which would be 10000cm²
basically, theres no reason to expect the exact same unit conversions to hold since powers-of-units are fundamentally representative of different things
BUT you can derive the new units using the old ones
100 cm = 1 m, so dividing both sides by "cm", 100 = 1 m / cm, and dividing both sides by "m", 100 / m = 1 / cm
in other words, 100 m⁻¹ = 1 cm⁻¹
and so 100 cm⁻¹ = 10000 m⁻¹
in the future, ask questions like these in the appropriate channel - read #❓how-to-get-help
@undone palm
thanks a lot ! since this is not an actual maths questions and it's quite simple I sent it here
you might notice that the conversion is "reversed"; whereas 100 cm = 1 m, 100 m⁻¹ = 1 cm⁻¹
this should make sense, as reciprocal units are the "opposite" multiplicatively
yeah now I understand :)
We finally found a spot for Parkour Diving!
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A quality day in Basel, Switzerland. We travelled there to revisit a bridge to boat jump and hopefully level it up, but in the process, stumbled across t...
9:45

agreed
umm can someone direct me towards applied group theory problems
preferably in mechanical engineering
Group theory is useful when describing rotations
So if you have stuff like robotics
Or aerospace
Then you'll want to have some groups there
Do you want like
Specific problem statements
yeah, so I can practice stuff alongside the math book
some basic examples would suffice. I want to be able to use group theory in field like I use calculus and stuff.
What
Regarding the mold
I hope the 4 korean restaurants are not too bad
That's a good idea
My cousin only has bad furniture
At least it's not dry there it sounds
The plague of straight men
Surely there is an ikea nearby
Oh, that's
What am I going to do with 3 of them
i agree with them furniture is bloat
I don't get wifi until tomo
You can buy good will with some well-chosen associates
So I'm on hot spot for now
And give them TVs
Lol
Alternatively, have the public transit schedules update live on one
Use one as a monitor
When I say my cousin has bad furniture
It means that the items he has are not good
The bed is not comfortable
The sofa is old
tell him to remove bloat
The tables are hard to use
Yes temporary until replaced
I don't think I'm going to have a dining table
I'll just eat on the ground

Like with a low dining table
Whatever happened to having a kitchen island
get used to it as a career mathematician
my kitchen island is a chair
Oh also
One of the kitchen drawers cannot be opened fully because the oven handle thing blocks it
That's sensible
open oven then
I'm doing my online teaching training currently
I certainly hope so
My next few days will be a steady stream of packages arriving
Also I have no clue if I can drink the tap water here
where at?
Moving through Ann Arbor's groundwater
oh rip
I would not drink the tap water in michigan
dont risk it
And it's slowly headed towards the reservoir where the city gets water
Maybe for like
2 days
i drink the tap water in michigan
I've ordered a kettle
no why lol
Maybe I should order a separate water filter
Imagine not having a filter pitcher
those are memes
Bruncho chraa lab rat arc
filter pitchers are large wastes of money when u can make your own for free and 1 hohr of time
They had weird push button fountains in barcelona
One time I saw someone use one to fill up a plastic water bottle
hola como estas
So then I started doing it too
Ordered
And I have no idea whether or not they were just stupid
I wonder how much I've spent since yesterday
te gusta beber en barcenlona, ryc?
I flew first on the way here

Do you live with some kind of water privilege
water is water bro
On both flight segments
The United terminal at Denver is much nicer than the Southwest terminal
kills u in some places if u dont have antibodies
Si, pero tambien necesito beber mucho porque esta mucho calor y quiero pasar toda la dia.
I'm not putting in accents fuck that
Also I forget if "day" is one of those exception words
Where it's actually masculine
donde quieras?
yes

donde querer
mhm
A la playa, a las catedrales, al Park Guell, al castillo Montjuic, etc.
oy vey eras based
damn epic game engine has quaternions.
IDK how to use that but... it's cool to know 
Caminé a todas partes, y usé el metro algunas veces.
mucho gracias 😐
I don't remember how to do past tense properly 
Ryc needs to relearn spanish totally at some point

I constantly need to check a translator to make sure I'm not mixing up vocab or verb endings
Lolllll
So bad
It's so confusing how es is a pronoun in German but "is" in spanish
Es ist, el es.
biblioteca
romanian tenses are honestly pretty chill
except they use the subjunctive wayyyy too much
What teaching modules should I do
Backward Design: Lesson Planning with the End in Mind
Engaging Students in Face-to-Face and Online Classes
Teaching for Accessibility
Technology for the First Days of Teaching
Facilitating Group Work to Maximize Learning
Grading Assignments and Exams
are these math server names
oh do you need to do all of these to learn how to teach
I don't need to do any of them
aw its like when u work at boston pizza and they make you watch 10 hours of videos to learn how to make the pizza
But like
Grading Assignments and Exams seems useful
Whereas Technology for the First Days of Teaching does not seem useful
teaching for accessibility should be the first one you watch
shout out to the math prof that once responded to "I can't read the colour you are writing in b/c I have eye issues" with "uhhh, okay, deal with it?"
🙂
but having spent time in classes that care about accessibility vs. math classes there are lots of things that are different & important
ange lectures are boring
I don't think I'm supposed to lecture for the full class period
I'll see
But if I'm in a blackboard room there won't be any colors because colored chalk is too much
And if I'm in a whiteboard room
I will use black, blue, and green
🤡
The prof not you
be hip with the accessibility
can you give an example, for the non nerds here
I also don't use colors lmfao
Mostly because colored chalk is scratchy
Or at least the colored chalk I almost always see
lecture challenge
do lecture outside entirely on the sidewalk
🔫

whiteboard users will get pinged
Actually it's not too bad, just has a very intimidating name
For verb comer, it's había comido
Equivalent to had eaten
Subjunctive is worse


i heard there is fancy chalk
hagaromo gang
so satisfying 
no lmao 

I finished the long ass proof and now I will be reading the proof of the excision theorem and a few other stuff and then I will be finished with that section
I will do that tomorrow tho

Somewhere in the middle of excision proof
I'm pretty sure I didn't go past barycentric subdivision

what if we both started reading Hatcher from this point 👉 👈 
But idk if you even want to lmao

May seems more suited for you tbh
wait


I can read multiple books in parallel
it is the power bestowed upon me by my laptop having the ability to go to sleep instead of having to shut down so that I can just stay where I am on PDFs without having to find the page again

yooo that's awesome lmao 
Fuck barycentric subdivision
the hardest part of learning AT
Without lecture
Is realizing that you really don’t have to read
A lot of proofs
Like most of those gross proofs involving nary centric
Barycentric*
Never come up again
Nice 😌
Also I like May's way of doing things a lot so I feel like I can kinda speedrun Hatcher and keep proper reading for later from May
Toki you better hold on 
We going zoom
Concise is a much more modern way of thinking about AT
That is good right? 
how can u turn algebra into geometry
varieties
Yes
It's "geometry"
That’s the best thing about concise
Not Euclidean geometry

There are "pictures"
but moldi how do we actually read together lmao
Like the picture of Spec Z
never thought about that
Weekly meetings usually
what the fuck is geometry
Algebra^op
what
Toki give address
✈️ me flying to moldi on weekends

Thinking alike lessgo
Or like discord
Toki when first meeting
👉 👈
man I don't know lmao
What time zone are you in 
I'm in Europe so it's 21:19 right now
Btw
Add me if u guys make a server I’m happy to be very hands off but answer some Qs maybe
Or a groupchat or whatever
oh yeah
hmm what should we do 
Meet tomorrow and decide 😌
Just make a server lol
I have a server w only me in it
I use it to transfer pdfs
From my computers
And phone and tablet
ah I see
Scuffed

or both 
yeah okay roger that
not using a github repo to transfer pdfs smh
I use my email unless i’m doing 20 revisions of a paper
@fervent flame
Boston pizza is fucking rank
The only reason people can distinguish cows and humans is because of onions
Ange you seem to have an interest in anime.

You're not wrong
I was going to take a class about anime at Berkeley but then it wasn't offered when I wanted to take it
This teaching orientation has "take a break" built in
Boston pizza is a canadian chain
There is good pizza in boston
Boston pizza is disgusting
Lol
Ange was too busy taking the class in "Adulting" to take the anime class
Or the magic tricks class
No it was only offered one semester that I was at Berkeley
When I was a 1st year
And it was an upper div class
Japan 188 or something
I guess that makes sense
anime moment
"boston pizza is a canadian chain" ah yes
Yeah it's stupid
Wait also
I think I was thinking of pizza pizza
Pizza pizza is the shit one

Both pizza pizza and boston pizza are shit tier
Get your crap together canada
I'm literally an NY pizza snob you boston boi, the pizza in California all either 1. sucked or 2. wasn't pizza.
There are some pizza places I liked in CA
Cheeseboard in berkeley is amazing
@modest rune You like Gina's?
i mean even bad pizza is good
wait
Gina's falls under like
It just doesnt have sauce
not-great pizza that is also very delicious
Pizza has sauce
u live in Berkeley too?
I thought it was good
I just graduated and left
What was that place in westwood
tbh i really like papa johns...
broke
cool
400 or 800 degrees
Oh ive not been
They did woodfired custom pizzas
Ok if you mean the papa johns on shattuck
I went there once
is Dallas
i think ill order pizza ;;-;
And it was basically inedible
Dallas has good food in general
pizza is just too many calories
true but
I think CA has great food in a lot of ways
cheat day
bc like
The variety and authenticity of asian food in socal
obviously one slice of pizza
Is off the charts
CA does have a lot of very good food
isn't that many calories
what a name
Shattuck is a street
When I was in seattle we straight up couldn't find a good chinese restaurant
I am kinda meh on most chinese food
California has the best food
ive never loved it
Szechuan Impression on Red Hill
In tustin
u havent had good chinese food
You should try that place
I am very meh on most white food
Another good one is O'Shine Taiwanese Kitchen in Lake Forest
jfc Call Me if You Get Lost goes so hard how did I not like it on my first listen
||tbh i really like taco bell lately||
I think i was so ready for IGOR 2
I'm coming back to socal for labor day weekend
we have a list of places we are eating at
What else is on the list
Pho Holic is top priority
We've been to a lot of the ramen places, my wife isn't a fan of ramen in general
Taco Loco is a must have for me
shah-tuck
Because they don't give enough meat compared to viet soups
well
Yeah Ramen isn't about meat for me i get that
i just fw the broth and the noods
Buttuck.
Mayflower Express in Anacrime is good
For cheap dumplings
I dunno if they're open still
shitter
There's this like
Gyro place
by main beach in laguna
that is way better than it has any right to be
i always forget what its called
In Fountain Valley, there's this cafe called Simply Home
It's right next to vox kitchen
Oh actually
Good hanan chicken soup
do you know anywhere in the newport area
that would be like
a coffee shop where young people do work and stuff
i have been missing that college vibe a lot
I've been to a couple of breweries
You can sneak onto the UC Irvine campus and chill in the bar
They have 37 beers on tap
I don't do coffee shops, but there was this place off of Newport Ave in Tustin
Leaves from the vine?
The lost vine
Try out the lost vine in tustin
Get there early cuz spots fill up quickly
It's right off the 55/5
Yeah, and it transitions to a wine bar at night?
man
I've been there all day before working on topology
Are you bringing your car to UCSD?
Do you get an all encompassing UC parking pass?
It's worth it if you're going to seminars/conferences a lot
e.g. if you wanna go to a talk at LA/SB/Irvine
Or riverside even
It kinda sucks that SD is so far from all the others
Yeah it would be hard during the week
I'm happy to make a trip out of going up to LA tho
I think I did 2 trips to SB
One trip to caltech, and a bunch at Irvine since it was the closest one
It's more manageable if you don't have problem sets
damn
slim still muted 
he must've said some really bad stuff
de*z n*ts 
Who's slim?
oh wait is this a slim shady setup
slim asked for mute so he could focus on gre studying
ooohhh okay I see now lmao

FTW.Quiet

just say a random name quick
shaco

ty
Warwick fire
Warwick was the first champion I ever fed played with
someone dodged and I'm still jungle
do I continue shaco or change champs, same list as before
who do I ban
your top laners champ
too late, banned no one
No one is chad
amogus
Mnogus

Bruh same , we have so much in common 😁
wtf, I feel lied to
I signed up for a class on manifiolds
and this is the table of contents for the textbook we're using
where are my charts and atlases
where's my hausdorff second countable spaces
civil protest
does it only stop at 200 pages/
do the books get smaller and smaller the higher you go up?
do you already know this stuff
or what
i assume you still have the chance to change classes?
yeah I could if I wanted to
it's just not what I expected the course to be
it has literally nothing to do with the class name
well
that might be a slight exaggeration
can't you see the books you need before you get the class?
this is the first semester they're offering the course, so the book wasn't available until recently
the semester doesn't start for me for like 2 weeks
when does class start for you?
23rd
Also maybe it is uncommon but do teachers should instead of just having a generic course description post some syllabus or something for their classes (even if they are older)
oh damn
do you mind writing down what youve learned
cuz im taking diff top and it seems similar in content
what are those
it's basically a measure of how the fundamental theorem of calculus fails on a general surface
this was my least favorite part of vector calculus, I don't want to do this again
How does an intake /exhaust manifold fit into all of this? /s
not that kind of manifold
a manifold is any general surface that 'looks like' normal euclidean space when you zoom in far enough
so a sphere is a manifold
as is a donut
what are same examples that wouldn't be a manifold
lol idk what cohomology is
but i should learn in school by february
This seems pretty standard? I'm not sure what you expected
manifold here really means smooth manifold, and not topological manifold, so maybe that's why you're confused
this is what I was expecting as the table of contents
a cone wouldn't be a manifold since it has the sharp point
wait what is the class about knots called?
haha
That's not too different? The 2nd chapter of that is the third chapter of the other one
the 6th chapter there is the 4th chapter of the one before
the 8th chapter there is the third chapter of the thing before
book has too many numbers for my liking
I do agree that the first one veers more into differential geometry and riemannian manifolds, but it still seems pretty standard
think of it as a vector field
what level is that course?
4xxx undergrad course
vector field plus what?
is this a pretty standard major requirements
what is really?
a vector field is a k form
and then it says another 2 other 4000 level courses
a 1-form is a vector field exactly
a general k form is more abstract, but gives a similar idea
what is a 2 form then?
a 1-form is a covector field but it's essentially a vector field sure
at my uni only 3xxx courses are required, then you have to take a 2-course sequence in 4xxx level classes, so 2 class in real analysis or algebra or topology or whatever you like
to define k-forms you need to know what the exterior algebra is
could you not just teach yourself about smooth manifolds?
although i guess no credit
ok
yeah I could but I also want to enjoy this class since I need the credit
i think i might know lol
i dont rip
but a vector field takes each point of a manifold to a vector right
exterior derivative is a generalization of divergence, curl, and gradient
to a tangent vector yes
so its a function from X-> R^n
not really
o
a vector field on a smooth manifold X is a section of its tangent bundle TX, the tangent bundle is the bundle of tangent spaces at each point
breathing
plz dumb it down even more
what's a bundle
(if it has a one sentence def that is)
tangent spaces can be represented by normal vectors right?
it's the disjoint union of all tangent vectors on the manifold
so here TX->X is a map of smooth manifolds where the preimage of a point x in X is the vector space T_xX of tangent vectors at X
that this is a smooth vector bundle means the vector spaces over each point "vary smoothly" in a precise sense
so a vector field is a section X->TX to TX->X, that is a map that sends each x in X to a tangent vector v_x in T_xX, the tangent space at x in X
that this is a smooth section means that these tangent vectors "vary smoothly" in a precise sense
when you say section you just mean a inverse map or something?
yea it needs to have the property that when you compose X->TX with the projection TX->X you get the identity
i have been reading a bunch of wiki nonsense, does this relate to presheaves or something
ehhh there is a way to define all this stuff in terms of sheaves but there's no need to do this
every vector bundle has an associated sheaf of sections sure
Sections feel kind of icky to me
the point being you can talk about local sections of a vector bundle defined on some open subset U of X, and you want these to be compatible in that if you have sections defined on overlapping U and V that are equal on U intersect V then you can glue to get a section defined on U union V
but again this perspective isn't strictly necessary
oh ok but that adds to my knowledge of their use
mhm this is the point of sheaves, it's a convenient way to encode the idea of like, if you can define functions that agree on overlaps you can glue

I should've been skeptical of this manifold class after I saw it didn't have topology as a prerequisite 😔
🛑
I still don't know what you're complaining about, the two table of contents you posted are not that different
ehhh manifolds can make a good introduction to topology
idk, just flipping through the assigned book they talk a lot about isometries and curvature and geodesics and I just don't care about all that stuff
I suppose if you have seen a good amount of topology before but haven't worked with manifolds then this course might involve some amount of repetition
ahh okay so it's more geometry of manifolds rather than topology of manifolds
oh
Yeah, that's why I said it veers more into riemannian manifold things
what are topics covered with topology of manifolds?
like, learning about tangent/normal/bitangent and curvature and all that was my least favorite part of vector calculus. This just doesn't interest me
topology of manifolds courses usually cover the basic constructions for manifolds and then deal a lot with transversality and intersection theory
maybe some differential forms stuff going into basic de Rham theory
I really liked reading Loring Tu's An Introduction to Manifolds last summer
yea that's a lovely book
i only know definition of manifold and thats it, not very much. is it ever a thing to verify if something is a manifold or not?
there's a few topological properties it has to satisfy
(Hausdorff and second countable)
second countable basis?
and then you need these local homeomorphisms from neighborhoods on the manifolds to subsets of R^n
Did someone say bundle
bundle
yea this the part i rly know
what's this class called
i get it's rigorous vector calculus
but this usually isn't a course name
the class is literally called "manifolds"
just two silly questions, what is an example of a space that is locally euclidean and hausdorff . and an example of locally euclidean and second countable






