#serious-discussion
1 messages · Page 50 of 1
sure
wow
I have seen them irl tho. They make them using special 3D printers, because such products are unachievable with regular metal working techniques
They still expensive as hell because they can only be made with 3d printing
"I don't like it when artists say "Ai Is GoNnA tAKe OuR joBs AwaY" it's such a false and stupid statement.
One of the important and completely wrong thing it assumes is that artists have job, this is such a lie.
Ai isn't taking your job away, u don't even have job"
Lol
ye
damn
wat do u think
i know the plastic one but my friends shes amechanic uses a metal or alloy printer to make car spoilers n all
I think you need to change the surface material used for the metal ball
ye im not much of a texture artist
i hv been doing 1 model a day for practise
Right now it looks like its made of PVC 🤣, if you change it with a non-reflective metal texture it'd be better.
it must be a month now
fosure
Well I'm currently focusing on other things
i love this one
I'm already enrolled into Design uni. but right now I'm still having to finish last semester of Lyceum.
I try to follow and learn early the stuff I have to do in the first year of uni.
But it's really stressing because of all the subjects I am taking and the big exams
i hope i was attentive as u in college lol
I have 11 subjects

cool xd
study hard
or hv fun
I mean Calculus is fun (sometimes)
both maybe
dont name that
Well I'm taking Calc. 1\2
The thing I hate is that it doesn't mix in with the Physics we're doing
Cause like I learn integrals, derivatives and all shit, but we hardly have been using them for Electromagnetism or relativity topics
cal is the worst thing
i hate it so much
hmm didnt u use that for 11 class physics
i think we use to use that
i dont remember shit
but it use to be there
The only thing I've seen is this where we used derivatives in Physics.
$Q(t)=C\cdot \Delta V \cdot\left( 1-e^{\frac{-t}{RC}} \right) \
\frac{d Q}{dt}=I(t)=\frac{\Delta V}{R}\cdot e^{\frac{-t}{RC}}$
北京
ok bye
ptsd
wdym changes
well I dont learn it
I guess? I mean we learn magnetism, eletromagnetism and even maxwell equations, but the book hardly ever uses integrals or derivatives in problem. The formulas are also never explained where they come from.
Do you know why I think it's like this? 🤣
Because many people struggle with calculus and barely pass it.
If they also added calculus stuff into Physics twice the people would fail those
Do you think calculus is used for basic mechanics?
My uni. has a mechanics exam the second year.
I actually wonder if I’ll enjoy doing mechanics math. It’s a type of math I’ve never done in my life
No man, it’s way simpler
It’s like structural mechanics fundamentals. It’s for basics
In statics and structural mechanics, a structure is statically indeterminate when the static equilibrium equations – force and moment equilibrium conditions – are insufficient for determining the internal forces and reactions on that structure.
Well I think it’s cool topic tho
Cause you learn about more realistic situations of objects, that are now less oversimplified. You know in HS all objects were simplified, equilibrium was only simple cases. But the real world is complex and there can be like 6 objects connected to each other each with different weigh and properties
<@&268886789983436800>
well someone is not a comrade...
He starved millions of Ukrainians and other nations
Killed more people than German Fuhrer
he is not a gud man
gulag
Yeah fuck stalin
He looked amazing in his youth, he should have been a musician rather than a dictator
Isn't the photo somewhat faked to make stalin look good
Stalin giga chad
1900' photoshop
Yeah he looked good
Until started to starve people to death
He killed more people than Hitler
is there no chat channel for the vc channels
Voice?
oh lmfao
Yo
this is a bit of a weird question
but so there's this one wireframe sphere you see in the background of alot of pictures of math professors
and I remember reading some blog post about it
Alexander horned sphere?
anyone know what I'm talking about?
no it's like a statue at some institute
yes that's it
tysm
I wanna get a picture of myself at that
I made an "academic" version of my site that's modeled after what math prof's sites look like
And the really kicker would be a picture of myself at that lol
Oberwolfach is like the Hollywood of math academia
yea exactly lol
if I get into one of the European summer programs I applied to
I'll make the pilgrimage
and get the picture
its in the middle of the black forest
quite nice area
lots of hiking opportunities
you will have to hike to this specific area anyway
quite nice imo
Nice beach
courtesy of @cold needle
So pretty!
very cold 🥶
You didn't dive in?
Enjoy. They lowered rendering distance here
Basically I breathe water
It’s also 9C• outside
Only in Ohio 💀☠️👽👽
🐤
🐦
Gallus gallus domesticus
is there a useful idea of the derivative of a function space?
perhaps it's just the space of the derivatives of each element?
calculus of variations?
My instinct is to mention Sobolev spaces here - before getting into that, are you familiar with Banach and Hilbert spaces?
I can't give a proper answer to exactly what you're asking here but there's a related idea I think
not quite in the sense you're imagining I think, but oftentimes the driving force behind Sobolev spaces is that they provide a "good" context in which to study partial differential equations and their solutions
when considering properties like smoothness and regularity of functions, the usual C^k spaces of k-times continuously differentiable functions weren't subtle enough to capture a lot of info and Sobolev spaces aim to mitigate this by admitting functions along with their "weak" derivatives in order to have complete function spaces with enough flexibility
u would have frozen
Jesus, checking my earliest works, when I was less accustomed to proofs, for Enderton's Elements of Set Theory is kinda stroke inducing
Lmfao
Great news!
It won’t go away for a long time
I read stuff from late sophomore year and boy I was not goood
Our warrior @grassmannian got suspended for 7 days replying in my circle to me with the gay f-word. Pour one out for our most homophobic gay poaster 🍻
b r u h
reading my old real anal proofs be like:

who
grassmannian
I don't use twitter 
ah
Hi Clerk!
Oh ok
grass != grassmanian
Oh boy that reminds me of how terrible my presentation and phrasing used to be...
One is real one is fake 
the grass field is real tho
grass theory textbook when
welp time to mute chill too
What operations of addition and multiplication does it have
well
if you add 1 grass blade
and another grass blade
you get 2 grass blades
would multiplication just be reproduction lmao
What are grass cells
No, define it set theotically or using whatever foundations you like

LOL
hmm
a grass cell is just a set containing {cell wall, cell membrane, nucleus, mitochondria}
and whatever
and then define nucleus to be a set of chromosomes
I call my sets grass cells. Simply apply ZFC. Ez Q.E.D.
:(
funnily enough I think dna is isomorphic to an external direct product of cyclic groups
Eventually you need to define what's an atom though 
Don't bully me I haven't learnt algebra
meanwhile: constructs real numbers
Define it mathematically then 

lmao
No buli me. I haven't learnt top 
~~So much stuff to learn, so little time
~~
Gonna read Lee's intro to top one day... someday... hopefully 
munkres?

I want to read Lee's other two books in the same series as well so I'm planning to eventually start from the first, which is intro to top
ahh
From what I heard munkres has quite some stuff that's not too useful, but I haven't read it so Idk
which books are those btw
Introduction to Smooth Manifolds and Introduction to Riemannian Manifolds
LPT: When on the train, make sure to read a textbook that says "graduate texts in mathematics" to show everyone that you're a big brained genius 
The reason I got interested in Differential Geometry was because I was looking at integration by parts a long time ago and I was like hol' up. What is that du = something dx notation, that seems cursed.

Btw what's LPT
life pro tip
Oh lmao
Lickmy pe
The moderators have suggested I stop this joke
Munkres has theorems not useful for manifolds
Like separablity axioms
Which never will be useful since everything will always be Hausdorff
Fuck those
who is grassmanian and why is he suspended
I hate them
Why did shamrock get suspended
And in my circle he replied to me with the gay f-word

(He is gay)
Munkres insists on doing manifolds intrinsic to R^n iirc
No on twitter
yup i saw

oh
Lmao
Eh idk
No
(btw for reading about smooth manifolds first I really like Tu's book)
Twitter has very different sections and subcommunities

Thank you chmonkey
Monke trying to get himself cancelled 
:(
love urself
rabble rousers?
Now I’m a hater
unrestricted comprehension moment
😔
Hi mow
lmao
You’re a gay furry
proof?

He’s TTerra
thats gonna need a proof
He died
me on the left
Can't handle the gay furry beastars
nOoo yOu caN'T pOsT gIfS iN #serious-discussion
oh

just did

What’s ur dog’s name
her name is mocha !
Isn’t that uuhh
🗿
I forgor
Ah
She's not even that color I just thought it fit 😭
Lmao

ttera*
Hi everyone, happy holidays! ❤️ If you know this song, let me know pls. 2:16 https://www.youtube.com/watch?v=0TB79fG8WyQ
what's this
oh, nobody talks here for 4 hours
interesting
I think I know it. do you know the song at 1:30 in this video though? https://youtu.be/dQw4w9WgXcQ
Hello!
no?
How does my map look so far?
It feels kinda good, kinda bad to me, is it any good at all ?
What are you trying to map out here
It's about how to study maths, I have been trying to make one for long time cus I want a really axiomatic, step by step approach to study maths but a lot of results I saw related this search were not axiomatic at all, people went from linear algebra to like abstract algebra without doing any foundational stuff and all
So I decided to make my own map to study maths
A is unit A, that is I soon realised I can't just say "algebra first" and do pre algebra, linear algebra, abstract algebra or just say logic and study all the logic at same time
So I divides into chunks, some algebra first, followed some geometry relating to that algebra and some basic logic and stuff until it is completed
Then I go back to logic, back to algebra, back to geometry to study some advance topics of it
That's why A and B are the units, there can be many since my map is not even close to being complete
@bronze pelican
You can start with linear algebra
You don't need logic for linear algebra
If you're not comfortable with proofs, you can start with a introduction to proofs book
Well, but it's technically not the most step by step, axiomatic approach tho, ik I can I did do that, and it was going well but I still didn't feel like it was actually enough to understand it deeply tbh
I don't understand what you mean
You want to derive all math from first order logic? That's stupid
No, I just need a step by step approach to study mathematics that while it is not necessary, gives me tools to understand complex concepts better
That has nothing to do with deriving everything with first order logic tho
What do you mean by step by step
You don't need formal logic to do linear algebra
Everything is based on logic and set theory, so I will begin with logic I won't do all of logic at once I will do basics of logic
Then I will just do some basic pre Algebra and geometry
Such step by step, things where one thing is completely built on other things which I have made sure I study
I feel like it'd take you more time to create that map than to master calculus, starting with no knowledge
interesting idea though...
A lot of what you listed is highschool math topics
I have time, I have like end of February next year dw
But then Godel's incompleteness theorems are graduate level math
So it doesn't really make sense
They are?
@neat lintel you're worrying too much about how to learn instead of just learning
start by reading any linear algebra book
like right now
I read some basic of those theorems in a normal discrete math textbook (Susanna Epp) , not too much
While topics I said are in highschool because that's the thing I am most familiar with
This is the math equivalent of "I am gonna build my own OS"
I can't, I said I have to start from February cus I have board exams in February which are really important highschool exams since they decide which uni I get, so I barely get any free time tho enough to play around with these concepts and work on things I can do after this is over lol
I am not deriving everything from foml tho 😭😭
Are you in India?
Honestly, my biggest recomendation to you is an intro to proofs book
Learn how to write proofs
Then youll be able to pick any linear algebra book and read it
Hmm, so you're not taking entrance exams? Which math programs take people in through board exams?
Or do you mean class 10 boards?
I am not giving any entrance exams, yes
There's a lot of personal reasons for that rather than academic but I have to drop so there isn't much point to giving anything rn I will start working on it after boards
Ah ok. Best of luck
Thanks ^°^
Are you planning on taking jee?
Yes
Not sure much tho cus I wanna go into research I am just doing it cus it is often considered hard which sounds fun ^°^
You do know that there are quite a few decent math programs(top tier in India) that take people exclusively through jee right?
Yes yes!! There are many, but maths isn't my main focus tho
It's chaotic but I want to study neuroscience so I am also doing bio rn which is fun
But there is no good undergrad level neuroscience program in India so I am doing bio which is closest I have to it

Maths is just one of my side interest, so those jee ones don't appeal to me much except that the exam sounds nice
Ah, a man of many talents
Ok you sound exactly like me
It's quite sad
Damn it's like all the Indian dudes have gathered
I'm not indian
Do u wanna leave India cus there are no neuroscience institutes here and wanna move abroad for study but then also have this feeling of anger towards everyone cus they didn't build any that u never wanna come back like me too ?

come to the US
All indian dudes gathered ≠ all dudes gathered are indian
lol
I do want to one day!! Wisconsin is my favorite state but I do wanna go to USA among many other beautiful countries
It's a cute country 💞💞
lol I like how you call it cute
why wisconsin lol
I don't like big cities, they are cold and chaotic
Places like Cali, NYC or even crowded places in India feel like living among many people, yet somehow being alone cus nobody cares for each other
Compare that to Wisconsin, it's a nice cute state with a lot of extrovert people where u can make friends with ur neighbour and won't be alone much and feel like u r in a small, sweet community 💞
That's why I called America cute, sometimes Americans are very enthusiastic, energetic and outgoing people which is wonderful 💞💞💞💞
I mean, wouldn't u love to talk to ur friends on a sunny morning while mowing the lawn?
That's soo awesome 💖
The unironic ideal way to study math is applied math
true i see where you're coming from, but wisconsin would not have been my first choice for what you're describing lol
Where am I coming from as in ?
Also, then what would be ur first choice ?
Most of my knowledge of Wisconsin comes from Charlie Berens' videos
your view on it
and idk theres a lot of scenic states with smaller towns that aren't necessarily wisconsin
with more to do as well
Oh, I will visit them too ^°^ which stated are u from ? 
flawda
Florida is wonderful 💖
What would be the integral of i?
it's just a constant
do you mean integral over a function that gives a complex output?
Yes
do you think there are other math servers worth joining?
there are most likely some great math servers out there
i dont know any of them but there definitely are some
I still don't know why q is so prevalent as an index like I still just say "dimension i" or "i-th coho group"
Please read #❓how-to-get-help
idk much about function space but I have a question or two about a pretty basic concept
the concept of f(f(x)), f(f(f(x))), etc was always acceptable imo but now I'm thinking about it a little more deeply
wlog let's use the case of f(f(x)) for simplicity. if f is from a function space F, then f takes itself and sends it elsewhere. the inner f and outer f are the same function, meaning they are from the same function space, but where I'm confused is how they can be from the same function space. the domain of the inner f is something like R for example, while the domain of the outer f is F.
does this illustrate something about how we can think of R and F as being similar in any way from some high-level perspective? also, the outer f also belongs to F, and is sending elements of that same set? I feel like this is unsettling
Usually when you look at functions on a function space, you think of linear functions. (Also: every vector space is a function space)
Take R^n. Each vector is a function from the set {1,...,n} to R (i.e. f(i) is the ith coordinate)
mhm
oh pk
so we consider vectors functions
because they are linear transformations?
Linear transformations from R^n to R? Sure.
I see
is there a better reason for why vectors are functions?
or is it kind of just a definition
Existence of a basis
ah ok
if f:R->R, x -> f(x) then f(x) is just a real number and so the argument of the outer f in f(f(x)) is still a real number
so how does looking at linear functions help answer my question?
oh okay you're right
perhaps I should just ask about f(f)
or is that not a real concept
I guess now my question is, can the domain of a function be a function space? I feel like that should be possible
Of course it could be
For instance the derivative takes in as input a differentiable function
ok perfect so my original question still holds
oh right I forgot
idk for me it's confusing to have a function send itself elsewhere
function composition could be thought of as a "multiplication" of functions so if $f,g\in F$ are functions then $f\circ g$ is a new function in F if $\circ : F\times F\to F$
Tymelord14
right
but yeah I feel like it's kind of a loop, like you take f but send it somewhere while simultaneously that's being sent somewhere else by itself
does my confusion make sense? lol
i don’t understand your confusion

fuck
ig a caveat
inner f and outer f are different sorta
outer f depends on range of inner f
this is confusing
I see, so is f(f) not really allowed
hold on lemme think
The function doesn't send itself anywhere, once you specify a domain then it's fixed so if $f:X\to X$ where $X$ is some set then $f$ only takes in members of $X$ as arguments. Since function composition takes two functions and returns a function we could conceivable define a new function (which is named suggestively) $f\circ(\cdot):Fun(X,X)\to Fun(X,X),~g\mapsto f\circ g$.
Tymelord14
tymelord said exactly what i was going to say

$f$ and $f\circ(\cdot)$ are related but not the same function, $f\circ(\cdot)$ does what you are thinking of though
and then this can be iterated for more compositions
Tymelord14
no problemo
I do definitely want to learn more functional analysis at some point, seems fascinating
How do I find the number of solutions to $\sum_{i=1}^n a_i = N$ where $a_i < k$? Basically just stars-and-bars with an upper bound.
Idk where to post the question above. Where should I?
Ok thanks
ryc's a mod? 😮
Nah he's just coping
o ok
Hitler gets confused about the topological definitions of open and closed sets. Then he totally freaks out.
There's a typo right in the beginning of the video. It should say "...and all zero of the points in the null set," so no "the" before zero. And if you're wondering what I meant by "close points," they are Wikipedia calls "limit points" of...
why have i not seen this
I seriously have to be a masochist my god
when I saw that the empty set and \bR are both open and closed
I was like "ah this is fine"
when open and closed are not mutually exclusive 
english moment
Third installment to unintentionally found / learn about shapes series:
The Carolingian Cross is a cross made from four trefoil knots.
@fading zealot Are you a design or art student as well?
I really like this geometry and I plan to implement it in some of my Design since that's what I do
I'm a computer science student and is quite intriged by simple mathematical objects and the complex beauty they could form when coming together in certain patterns
Happy holidays! Can you recognize this song pls? 2:16 https://www.youtube.com/watch?v=0TB79fG8WyQ
Didn't you post this earlier in the day

Mostly techno as of late but I've been into electronica for a while so my tastes shift back and forth
A lot of dnb as well which I got into through like, old youtube channels and some artists I still follow
and a bunch of more ambient-oriented electronic like stars of the lid, tangerine dream, etc
that's awesome
what other artists are you into !
oh hell yeah
half of my music listening at one point consisted of regis, burial, basic channel, and a couple others LMAO
like portishead, sweet trip, probably cocteau twins and tim hecker as well
yeah I can't listen to them anymore
but at one time they were my absolute favorites
yeah, harmony in ultraviolet especially is super important to me
mirages is lovely
I think my first was virgins? but I remember I got into him circa releasing konoyo
LOL
if I had to pick a second fav it'd be ravedeath tbh
I was going to ask if you happened to have rym LMAO
here's mine one sec
a lot of mine is outdated and I slap 4/5s on everything because I use it more to catalog than anything and I don't believe in assigning numbers in general
also a bunch of my ratings are singles it's honestly a mess but I think my 5s summarize my taste pretty well
mm that makes sense
that also makes a lot of sense
I don't strongly differentiate between 4.5 and 5 anyway I just like having exactly 50 because that's two clean pages
ooh awesome will do !!
wowww nice to see block control EP in their favorites ahaha that one is so old I love it
skimming this tracklist now these are exceptional picks
nice to see gyrofield :D
I've known her for a bit she's awesome
I remember hearing superheat for the first time and I was like
god please release this
ridiculously good tune
billain is amazing
this reminds me I still need to check out that recent vision comp
I've only heard the monuman tune which I loved
preamble is crazy
ultra and inflict are incredible as well
is the lagrangian in the context of lagrange multipliers $\mathcal{L}(x,\lambda_1,\ldots, \lambda_n)=f(x)+\sum \lambda_i g_i(x)$ or $\mathcal{L}(x,\lambda_1,\ldots,\lambda_n)=f(x)-\sum \lambda_i g_i(x)$?
sean
if the problem involves inequality constraint the sign absolutely does matter (although not that significantly), if there's only equality constraints then it doesn't matter
I write with the plus because the commonly accepted standard form problem is that you have f_i(x) <= 0 and h_i(x) = 0, then lambda*f_i would have to be zero by complementarity and lambda >=0, the sign of the multiplier on the equality constraint doesn't matter so the plus just looks nicer
if you were to write -lambda * f_i(x) when f_i(x) <=0 that would imply lambda <= 0
This calculus book is pretty nice.
It starts the Integrals chapter by definind Riemann sums, then definite integrals
I'm about to start doing this worksheet, if anyone is interested in joining me. https://pages.uoregon.edu/belias/Classes/607-fall-2021/Exercises.pdf
This one?
Did you just add \quad or something?
Anyway yeah ig it doesn't really make much sense for them to restrict you to only 2
Would've been pretty easy to change this I think
Yeah makes sense
All alignment environments are pretty much related
mathemagic
I has quostion

so we can represent operations as functions, like + as +:R×R→R
what about the union
what's the domain of the union
there isn't a set of all sets
would I just define a specific collection of sets
would it be our "universe"?
I don't think taking the union is a function for the reason you said
oh
then what is it
isn't it an operator?
because operators are basically functions
I guess it's just the set whose existence is guaranteed by the axiom of union
oh I see
`Yeah the union is not a function or relation
The union axiom basically tells you that given a set A, U A exists
You should join me and read Enderton's Elements of Set Theory 
jk
what prerequisites does that have lmao
Practically none
You just need to be determined to sit through it, as with any math textbook
I haven't read an entire math textbook all the way through
I meant it in the sense that some theorems and exercises will take some time
I see
In fact, its probably one of the easiest intros to axiomatic set theory, no need for much mathematical maturity. Unlike some other books like Jech's undergrad set theory book
Lol its actually my first real math book
oh there are pdfs online
Yeah
I see
have you read a lot of it already?
using lowercase letters for sets
pain
Started reading it because I was curious about axiomatic set theory, cardinals and ordinals
Im going to start on the chapter of cardinals once I finish checking my past proofs. I completed chapters 1-5 already
Almost halfway, not quite there yet
ah ok
Try it out if you want hehe
😄
Come join my suffering
why does discord convert my emoticons into emojis smh
Put a backslash first
is it bad? lol
Nah I was joking
Yeah 
ty
np :)
U can turn it off if u r on pc or web
It's in settings
Because it's not on mobile
It's only in pc & web
pain
In my defense i was following Enderton for that smol b
fixed
isn't using lower case letters for sets we want to think of as objects and upper case letters for sets we want to think of as sets of sets conventional?
in this case b is regarded both as an object in A and a set of sets
to fix this i propose a middle ground noone will like, using chinese characters eg 中

One time my friend used a hieroglyph for a variable
Bushels of weat
Is this a good map for studying math [ Arithmetic, Pre algebra, Algebra I, Algebra II, Algebra III integrated, Geometry/trigonometry, Pre calculus, Calculus I Calculus II Calculus III]
any recommendation Tweaks
pre requisites
it's a new set that emphasizes more on Algebra II but it's probably just repeat
But algebra is esssential
to master
all the practice
will help
later on.
At least so I hope
You might wanna learn some LA first depending on how deep your calc III class goes
What is LA?
linear algebra
When you guys self-study math, do you normally check your work (i.e. answers and proofs) afterwards like one or a couple chapters later?
i check as soon as im done with the problem
A city in California
Yeah I do too, but do you check it again after some time?
Im checking all my work again right now after a couple chapters but it kinda is boring lol, so I wanted to see if you guys' think its worth the effort in your experience
Soon 
2, ryc doesn't count
Why don't I count
as we all know you're a "mod", but not a mod mod

Exactly
I don't know what that means
cope
ryc antagonization. yayy
Have fun
hi
ryc should just sit there and be cute, he shouldn't be mod
what type of object is a differential? is it its own thing? from what set does it come from? what's it's definition?
abstract object
isn't it a sort of operator too? since it operates on functions and variables
differential as in like df for some function f?
e.g. dx
yes
in general if you have a smooth manifold X and f is a smooth function on X then df is a section of the cotangent bundle T*X of X
T*X is the bundle of 1-forms on X, df is an example of a 1-form
I know everything except cotangent bundles
dual of tangent bundle
a bit
if X is a smooth manifold and x is a point then you have the tangent space T_xX of X at x
this is literally the vector space of tangent vectors to that point
oh I see
as the point varies you can glue these together smoothly
and get a bundle TX->X
whose fiber over a point x of X is T_xX
alright
the cotangent bundle is what you get if you do the same thing but gluing together the dual spaces of these tangent spaces
alright makes sense
so a section to the cotangent bundle gives you an assignment of points of X to functionals on tangent vectors
the way you would evaluate this is like
e.g. if you had the 1-form dx on R^2, you can evaluate this at 0 on a basis of tangent vectors d/dx and d/dy say at the origin, then dx(d/dx)=1 and dx(d/dy)=0
d/dx is a tangent vector?
yeah
how so
there are several equivalent definitions of a tangent vector
one of those definitions is in terms of literal tangent vectors to curves going through a given point
another is in terms of differential operators or derivations on the algebra of smooth functions
if you're taking derivations to be the definition of tangent vector then yeah
makes sense
otherwise you just have to do a little work to see how you can go back and forth between these two definitions
basically the point is such a thing gives you a notion of directional derivative
oh yeah this concept is familiar
how this stuff gives rise to directional derivatives
if you have a tangent vector in the literal sense then this is telling you in which direction you are differentiating, but if you have some notion of directional derivative then this had better be a differential operator or a derivation
I learned some diff forms
I'll be back one minute
so pretty much df can be thought of as an operator that maps the fuction to a section of T*X
is this a correct summary? @vivid halo
if we suggestively write \Omega^0(X) for functions on X and \Omega^1(X) for 1-forms on X
then you get a map d:\Omega^0(X)->\Omega^1(X)
in general you get maps like d:\Omega^i(X)->\Omega^{i+1}(X)
with dd=0
what operations can we do with them? I'm aware that you can add them, multiply them together, and multiply them by other functions; anything else?
oh I see
yeah so \Omega^1(X) becomes a module over \Omega^0(X) so you can add 1-forms together and multiply them by functions
we cant really divide differentials so how do they turn into derivatives
the way they turn into derivatives is by pairing them with tangent vectors
so like the way we paired dx with d/dx or d/dy
like in general if you write down what this pairing of vectors and covectors is doing in some choice of basis
the coefficients in the expression will involve derivatives in the usual sense
I see
that's cool
i find strong interest in this kind of stuff
if I had more time I'd love to pick up a book on diff forms or diff geo
thanks for your help :)
Anyone know website design really well? I’m having issues with my domain causing a “not secure” message to pop up on certain browsers encouraging the user not to enter any sensitive information including payment cards… which is the whole point of my site…
Hacer hacer
Well i’m using square space and it should already have an SSL certificate but for some reason it isn’t???
yea that’s what’s weird lol. I’m trying to contact their customer support rn
why are you trying to reinvent the wheel
???
why are you making your own payment site
I’m not
hey yo peeps
lmao then
That's nice ^°^ good luck on ur website
https://support.squarespace.com/hc/en-us/articles/205815898-Understanding-SSL-certificates
Square space does have an article on it you can read on, good luck on ur website stev ^°^
Important information about SSL and steps to edit SSL settings to meet your security needs.
All domains correctly added to your Squarespace site are automatically protected with free SSL certificat...
joined up in here to help some peeps
Awesome thank you. This is great.
💝
Well i did absolutely nothing but all of a sudden it is secure… wild…
Thanks all!
That's nice ^°^
how do I answer this ?
I'm seriously afraid that I'm not going to be able to graduate
Just due to stupid bullshit
like what
My advisor's placed a hold on me registering for classes until I declare a minor
then declare a minor
But to declare a minor I need to pick a professor to be my minor advisor
And the only CS professor I know retired, and wasn't taking on new advisees
oh
I'll be in a few CS classes next semester if I can register, which would let me meet new CS professors and pick one to choose to declare my minor with
But I can't do that if this hold on my ability to register isn't lifted
wait so your school requires you to have a minor? and you have advisors for your minor?
Yes
thats dumb
weird
And that's just one of, like, 3 situations like that that I'm in where cycles of administrative bullshit are getting in my way
great!
So anyway I'm continuing to apply for PhDs anyway even though I might be fucked and not able to even take classes next semester let alone graduate
(well in theory that's what I'm doing, in practice my executive functioning is so bad that I'm not actually doing that)
Because I basically need adderall in order to have decent executive functioning but I need an adhd diagnosis to get adderall but I need better executive functioning to get around to setting up an appointment...
you can't set up an appointment?
Well I tried sending an email to set up an appointment a few days ago and haven't heard back yet, but that's exceptional; I normally write an email and panic over making it perfect and then it sits in my drafts folder and then I forget
Bruh
Is my life the plot of a college au catch-22 fanfic? Maybe.
Why did you do adderall when your brain was fine?
It well and truly was not. I was barely functioning, and a friend suggested I try it, and so when I had access to a dealer I was able to do well, but my dealer is super fucking sketchy and scares the shit out of me so I want to get a proper diagnosis, and we're not in touch anymore
Are you from america? That's the only place i can think of where it's soo easy getting drugs
I'm currently in America, yes.
But there's way easier places to get drugs than America
How was your productivity studying before and after taking adderall?
Before it was kind of terrible. But also it was largely the little things that fucked me up; I wouldn't start projects or homeworks, or I'd let it build up for weeks, or even when I'd do my homework I just wouldn't turn it in. When I tried it I was actually able to do shit. Afterwards I'm basically back to what I was earlier.
Yes, why?
the only thing you have to say in your follow up is:
I haven't heard back in a few days. Do you have any availability this week? I look forward to your response.
Best Regards,
[Name]```
It varies a lot day-by-day and based on mood, though, which when I was on adderall was very much not the case.
When I was productive I was very productive though.
But then the slightest distraction could ruin my concentration for like 2 days
what the fuck
that's severely bad
can't you call someone to set up an appt if emailing gives you trouble
^
A fire-drill had me nonfunctioning for like a week. Not even in terms of productivity, in terms of being able to even get out of bed and go about my day.
no fucking way
I had a similar issue when i was younger but the issue is was that i wasted all my mental energy in dumb stuff like videogames, dronning in youtube watching random videos, etc. Once i quit all that i was reasonable consisten with my studies, studying about 2 hours every day
But I think that might be more of an autism thing
do you live with anyone?
I don't do videogames or youtube videos. I sit down and stare at a fucking blank piece of paper for hours on end.
During the semester but my housemates are away for the break
well when they're here, tell them to keep you in check
Don't you get bored when that happens or you think you are working?
I do not think that I am working and it is intensely boring. So after like 2 hours of trying to force myself to work and maybe, at most, getting a sentence down I'll get up and go for a walk or a bite to eat or something
Eliminating distractions doesn't make me more productive. At best it makes me turn to other distractions, at worst it just means that I do nothing.
I am very motivated. It's not an issue of motivation.
Like, I want to do my PhD applications
They're all gone for the break
well then idk
I'm very slow when it comes to studying, sometimes i spend an hour or two just trying to understand a page of some book
That's a typical pace
If it's a sufficiently advanced math book
If you're actively working on it
My problem is I'll have it out in front of me and often not be actively working on it
It will just be there and I will be completely unable to concentrate
Yeah i gotta work every exercise even when they are not exercises given by the autor to solve, it's just a thing i have
When i'm unable to solve some exercise i have it for days in my mind
That's not a problem nor is it being slow. That's just doing extra work, more than is required of you.
That's me on a good day
Anyways, i know some people that do modafinil instead of adderall, i'm not recommending it but maybe it works for you
I looked it up, you also need a prescription from a doctor to get it
Ah, right
I take a lot of caffeine too when studying but in the form of mate which is some tea from south america
Some people smoke but i don't think smoking will give you the spark you need
Weed doesn't help me, and I already go through a pack of cigarettes maybe once a week. It helps me sober up if I've had too much to drink, but otherwise has no real effect on me.
Also helps me if I get the shakes, actually
I found you on MSE
Are you shaking uncontrollably as well? Brutal
Not often but I do sometimes get anxiety attacks
Well yes, I linked a question of mine on the adv-num-theory channel
Is it stress or has it always been like that?
Or did you just randomly happen upon it?
I randomly stumbled upon a post and knew it was you
Interesting. Was it because I posted part of the same question in the algebra channel recently?
yes
It's definitely a recent thing. I think it's partially stress but certainly not entirely.
To be expected. We actually have something in common, I also study in Germany. However I am not a schoolchild, as I understand you are. Which uni are you taking your courses at?
Actually I get the shakes mostly when I have a crush
ruhr uni bochum
Love is an anxiety disorder
A crush? As in when you think of someone you like?
Very cool that you're doing that as a (12th, is it?)-former.
I'm in 10th grade
Bah, even better.
I hear Scholze was the same.
How's RUB? I'm thinking about potential master's unis.
the mathematics building is being renovated
so math stuff is spread across other buildings
BTW gimme an upvote, I'm not getting any answers so far.
Never had a crush in uni, everybody in my course are autistic men (i'm probably one) and one or two women with personality disorders
I was asking more about the faculty rather than the facilities.
As in, like, increased heart rate, loss of coordination, lightheadedness, shakes caused by someone in particular, obsessive thoughts about that person (often of a sexual or romantic nature), etc.
oh uh idk
IKTF
Ah, right
I'm not that involved in those things
@topaz swift what's iktf?
How many courses do you take, do you manage well with your schoolwork?
My department is bizarrely neurotypical and I am the most autistic, so I kind of envy your position
"i know that feel", aka i am familiar with this situation
Ah, right
@vast surge most people in computer science are like that
In math and physics they are more social
Seriously, it's a fucking blight (at my uni at least), all the courses I've taken have been sausage parties. If there are any girls, they all study Lehramt, i.e. to be certified gymnasium teachers.
The CS guys at my uni all look like stereotypical Simpsons nerds with glasses, long hair tied in ponytails, speech impediments, and bad hygiene.
My school's CS department is more neurotypical than the math department. At least we get our fair share of "women with personality disorders" as you eloquently put it; the CS department are just... The opposite of the math/CS stereotype, basically.
Weird
My school just doesn't have those stereotypical nerds, I think
@vast surge two questions:
- The cover of what book is your avatar? I remember it was a French CA textbook, but I don't remember the title. There is no English translation afaik, right?
- What kind of fantasy lit do you read?
Herr we have a bit of everything but that's because the uni i go to is the biggest in the country, probably top 3 in size in the continent
There might be one or two in the econ department, but most of that department are frat bros who plan to work for daddy's company as an executive once they graduate
- I can't remember the book (a friend sent it to me a while ago), but you're right that there's no English translation that I know of. I can look around for it.
- All sorts. Recently I've been going through a bit of a Michael Moorcock phase (when I still had nitro my banner image was a picture of Immryr the Dreaming City).
- Please do, I want to DL the original image, it's fucking brilliant.
- Have you read Elric? I was thinking of getting into it.
I also read the first couple of Weiss and Hickman's Deathgate Cycle recently, but I'm not sure if I'll finish it.
Yeah, Elric is amazing
The writing style can be... Difficult, at times, but the story itself and the ideas in it are incredible
I had a big fantasy phase couple of years ago when I first got into the genre, having only read HP and LotR as a kid. I've kind of slowed down recently and nothing has been able to keep my attention, which is why I've been reading Conan stories recently (the bite-sized chunks are a positive).
Before you ask, no, I don't have a crush on your mother, she's just an easy shag.
This sounds like Bakker to me, are you familiar with Prince of Nothing aka Second Apocalypse?
I am not. I'll need to look it up
A fair warning about Elric, it's super hard to find the books, and the reading order is also hard to figure out.
It is the most absurd and extreme fantasy series I have ever read.
It's not weird to sleep with your mom, everyone's doing it
Have you read First Law? Big fan of that.
Not yet. I've heard mixed things though.
Some say that it's really, really good, but some say that it's like a lot of later grimdark in that it's edgy just to be edgy and would be better if it was toned down.
It gets a little repetitive sometimes, but the writer is very self-aware in a good, non-Deadpooly way.
Honestly I read more fantasy before I started college. I just haven't had the time these past few years.
He knows what he's writing and how to deliver to the audience. I don't think it's edgy for edginess sake at all, just ebcause the story if violent.
Same.
Rothfuss' The Name of the Wind is really good though. When I read it I think I read it in like two or three days, so it's also good if you don't have much going on
It was one of the first things I read.
Oh, I've also recently read all the Hellboy and B.P.R.D. and Abe Sapien comics
I liked the University setting, even if it was a little of Hogwarts ripoff.
It was better than Hogwarts, in my opinion, but I'm also just not a big Harry Potter fan so maybe that's just me
HP fanfiction tends to be better than the HP books themselves, and lots of HP fanfiction just sucks
And I really like the concepts of sympathetic and naming magic, the story's framing device and its overall theme of semiotics and historiography.
But Kvothe is a fucking obnoxious protagonist.
And don't get me started on the Della romance.
And how book 2 goes completely off the rails.
With thick ninja mommy gf's and faerie sex goddesses.
Jesus WHAT was he thinking with this.
Book 2 is a little bizarre at times, yeah.
Manifestly he wasn't, all the blood rushed elsewhere.
But I actually kind of like Kvothe as a protagonist (though not as a person), and the Della romance was... Well, it wasn't good per se, but it certainly wasn't unrealistic.
I like when Kvothe's arrogance gets the better of him, that shows some self-awareness on Rothfuss' part, the problem is most of the time it doesn't and he's just perfect at everything
Like, Kvothe is an interesting protagonist to follow and character to read about, but I'd kind of hate the guy if I interacted with him.
Do you remember the famed cuck passage?
He's telling a story to another guy. A lot of that he's perfect stuff just feels like it's that.
I do not. It's been a while.
See, this could be argued, that he's an unreliable narrator, but the problem is there is not enough (iirc) in the text to support this.
I do like punished older Kvothe.
There is a literal framing device where Kvothe establishes himself as a storyteller with a tendency to embellish. It could not be more obvious that he's an unreliable narrator.
It's a meme on /lit/.
Jesus, this image was huge.
I thought the server choked on it.
Yeah, I remember this. As I said, it's not a particularly healthy romance, but it's well-written and realistic. Like, Kvothe's an obnoxious jealous sadboy about it, but I like it.
I did not remember the embellishment part, maybe you're right. Still, it makes for a grating reading experience, even if you know it to be false.
Have you read any John Gwynne? Was thinking of trying that too.
Or Gene Wolfe.
I've not heard of John Gwynne, but I've been meaning to read Gene Wolfe.
Oh the absolute best fantasy series of all time by the way
Memory, Sorrow and Thorn by Tad Williams
It might be absolute perfection.
Il y a un français
I've heard the author's name, but I am not familiar with the series, I'll check it out.
Do check out First Law, the first trilogy is universally acknowledged to be very good.
And Prince of Nothing, if you want the A Serbian Film equivalent of fantasy.
Have you read this? (Or even seen the cover): https://www.goodreads.com/book/show/58951933-wergen
Nominated for an Arthur C Clarke award, with a blurb by N. K. Jemison, and near-universal acclaim on goodreads.
And it has that cover, and that title, and is about aliens who are romantically obsessed with humans
I found out about it the other day and it's quickly jumped near the top of my to-read list
I feel like that would have just tipped it too far into absurdity where it's obvious the cover is bad on purpose
what is that 😭
As it is I can't tell if it's just a bad cover or an intentionally bad cover.
Yohan's autobiography.
i'm just wondering if the aliens are cgi
Nope, but the cover is quality work.
No, those are real aliens
explain
So there are aliens
And someone had a camera
And took a photo of them for the cover of this book
You'd be surprised, but not everything is CGI.
i just can't imagine living in a world with actual extraterrestrial activity
Actually, I lied, in the above case it is CGI, very advanced mocap work.
There is definitely extraterrestrial activity. NASA does a bunch; they send all sorts of things into extraterrestrial space.
(the bot is not letting me post the pic, lol)
only thing i know are the robots they send up there
I mean yeah that's most of it
They also have some cameras and telescopes
And a metal plaque
With naked people on it and a map of where to find Earth
a human in a cat costume and a green screen
that just threw all that science shit out the window
but it's a good theory though
Honestly I want to make a comeback but I can't think of anything better than this xkcd: https://xkcd.com/502/
@vast surge bro did you find the ComAlg textbook?
why is that kinda sad



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