#serious-discussion
1 messages · Page 373 of 1
is it also like very active like other servers and this one?
i mean for today....cz u saying its upside down...do u mean its very sapmmy?
now I mean literally upside down, the server logo and channel namess
oh ok
it looks like this
why not now
hm

yep
hello!
wtf
that gives so much
how
wadasd
clown
e
e
bep bop bap
this is random yapping
hello
to myself
and all
of the other ppl
yep still works
gonna be a pain in the ass tho
wdym
I was enemyy of inquiry but then resett somehow
come to chill
-# ||Primary one to find y in y = 3!!! wins a cookie||
3!=6 6!=6.5.4.3.2=720 720!=2601218943565795100204903227081043611191521875016945785727541837850835631156947382240678577958130457082619920575892247259536641565162052015873791984587740832529105244690388811884123764341191951045505346658616243271940197113909845536727278537099345629855586719369774070003700430783758997420676784016967207846280629229032107161669867260548988445514257193985499448939594496064045132362140265986193073249369770477606067680670176491669403034819961881455625195592566918830825514942947596537274845624628824234526597789737740896466553992435928786212515967483220976029505696699927284670563747137533019248313587076125412683415860129447566011455420749589952563543068288634631084965650682771552996256790845235702552186222358130016700834523443236821935793184701956510729781804354173890560727428048583995919729021726612291298420516067579036232337699453964191475175567557695392233803056825308599977441675784352815913461340394604901269542028838347101363733824484506660093348484440711931292537694657354337375724772230181534032647177531984537341478674327048457983786618703257405938924215709695994630557521063203263493209220738320923356309923267504401701760572026010829288042335606643089888710297380797578013056049576342838683057190662205291174822510536697756603029574043387983471518552602805333866357139101046336419769097397432285994219837046979109956303389604675889865795711176566670039156748153115943980043625399399731203066490601325311304719028898491856203766669164468791125249193754425845895000311561682974304641142538074897281723375955380661719801404677935614793635266265683339509760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Me too bro me too
67
The "." bein' used as the multiplication symbol is annoying me
i used the * symbol but it made the text italic and didn't show the * LOL
You can escape markdown Characters with a Backslash:
\*not italic\*
*not italic*
no . no one can escape the italic ..
alternatively, read 3!!! as (3!!)! = 6 or (3!)!! = 48
@zealous garden Hey if I have a vector space in 2D space, then I have 2 basis vectors. But what happens if I have 4, one that controls what's up, down, left, right? Is this still a valid vector space, and if not what is it exactly?
Okay apprently this is a valid space ig, cool.
if up/down and left/right are linearly dependent then it's just a 2d vector space
unless you mean they're all orthogonal to each other somehow. a vector space with n linearly independent basis vectors is of dimension n
When thinking about it I don't actually have an easy way to define this space.
Graphs are strange.
It's technically a directional graph, where if I move "up" then it would move me in an up ward direction, which moves me to another point in the graph. But when I move down it could be to another point down and to the left. So moving "down" is different from moving "up". Which each point could vary this and get weird geometry and spaces.
I'm not really sure if it would count as that. But it's best modeled by a directional graph.
could you elaborate on exactly what you're trying to model?
More so looking at the consiquences of graphs over trees. And this is where it led me.
That's all.
probably not really a vector space
I mean it can be for sure, but I'm not sure if what I'm describing is one.
I would have to use dot products and other stuff to really understand it more.
?
a vector space is just a set of vectors which can be added together and multiplied by scalars
well, roughly
Technically binary numbers are just a graph over a grid on a tree.
so literally (x,y) is a graph configuration over a tree if you look at it right.
I'm just taking that fundimental tree structure of numbers and letting them vary.
It will probably boil down to something simple, but maybe not.
Otherwise that's literally all my research with trees for the last long minute in one thing.
cmon man
i'm preety sure that's not a 5 letter word
hm
who is this?
you
was your name always yj
anyway doesnt matter
thank you
Hi
It's a vectorspace, you just don't have a basis, you have some spanning set
It's probably better to ask exactly what you mean though. A vectorspace's dimension is defined by the size of the basis
my chocolate protein powder tastes like something that really wantss me to thinkk is chocolate
protein powder makes you reconsider the importance of reaching protein goals
67676767
bru wha happened to the server logo
Big notification big
oh
π thats brillant
computer
36
ask
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
wait what the heck is using a matrix of size 697?
Awesome server profile picture
so nonchalant
brain is computer
go brrr
I did ask exactly what I meant, but that's fine it's good to know it's still a vector space I guess.
can i get a random natural number between 0 and 12 exclusive
11
,tex \ExplSyntaxOn \int_rand:nn{0}{12-1}
anticloud
,iam 1488687375340273675
Gave you the Not Very April selfrole.
I came here firstest
I have a quick question. When thinking about math for example a definition or a statement or a proof.
Do you visualize it in an intuitive way like some blobs or dots or any other. Or just go straight to something you learnt before like axioms of the said theory, facts, known truths and mathematical logic statements or notation?
intuitive way
like for example maybe "the preimage of every open set is open"
i would think "big blob point to funny big blob heheheh"
That’s true also for me but then I get a problem of writing said intuition into something rigorous or with use of known knowledge
hmm, maybe for example "continuity = seq. continuity"
Like in your example I would have trouble with connecting definition of an open set, preimage. Even though my reflex to prove something like that would be through taking an element of said open set and from there seeing consequences of definitions idk
well i would think, "the point in the open set has a circle around it, so the point it maps to also has a circle around it"
Maybe I don’t have enough experience with trusting my intuition and interacting with it (?)
It’s weird that you can kind of stumble around the objects and end up with something meaningful in the end
Still I feel dumb every time I ask some question to which answer is usually some known fact in the context but it didn’t occur to me that it is useful in this situation
Struggling with linear algebra in that sense
Thank you for your view on the subject forty four trees
@native oriole I don't wanna draw attention to this in front of discussion but
Actually maybe it's best to check DMs
Greetings, critters of the crypto-terrestrial crust.
Hello friends
hi
helllo
would anyone want to help out with solving some problems that may appear on the los angeles math tournament exam
guys I'm going to Japan soon!
why and when do we do implicit differentiation? for example, normally the derivative of y is 1, however differentiating it implicitly makes it dx/dy
👍

today I dreamt that me and Hank green got into a fight
vsauce solos https://youtu.be/0VaXL0DZfOM
Hey, did I miss you ?
I just see this extract on a short and the first thing I thought was : "Damn he looks like Vsauce", so I made this video lol
this exctract is from the serie called "pantheon"
#memes #vsauce
mole
when you differentiate an expression with respect to x then you can treat y as some arbitrary function of x
it’s just a nice way of not having to use an excessive amount of product/quotient rules (or even sometimes it allows you to differentiate at all if you have more complicated expressions) if you have g(x,y)=f(x,y) and y happens to also depend on x
I'm only 13, so I could be wrong, but from what I understand by studying on my own:
When: when y is not isolated (such as x^2+y^2=1)
Why: because y depends on x even if it is not written as
y=f(x)
Key rule:
d/dx(y)=dy/dx≠1
Warning:
dy/dx → derivative with respect to x
dx/dy → is the inverse
In practice: treat y as a "hidden" function and use the chain rule
Wow you knew these rules from young age
Ultimately the justification is the implicit function theorem
@dapper fulcrum well interesting, what do you think of this:
x^2 - y^2 = (x-y) . (x+y) ?
real analysis is so weird
young fella more like foung yella
bru im so dum
duolingo has math now.
S
this is definitely true
like if you can solve problems eventually and just have to spend extra time o it
but you can solve problems
you will go far
I'm doing Edexcel GCSE but imo it moves way too slow. I taught myself sine and cosine rule cus I was bored and we did it like 3 months later. It's all so basic. I feel like I want to start teaching myself the rest of the GCSE/start on a level but like I'm gonna be taught it anyway so idk it feels a little pointless. Where should I go from here?
thats true
hey nerds
does anybody else have severe adhd
I'm a terible test taker bc my brain can't lock in and focus under pressure and I don't know what to do
the problem with mathematicians is they don't create fun little kids games anymore
games like what?
idk hex
i don't know if it's an actual pattern btw but whenever i hear about fun little kids game invented by a mathematician it was in the like 70s-90s but this is suuuper vague
i dont think little kids are as smart as they used to be
they don't really gravitate towards critical thinking strategy games
i don't really think that's the reason
they like to color or something
Imo, revise hard for your GCSE, once you begin getting As and feel comfortable start doing A-level stuff and you'll learn so much better
and once ur doing A-level stuff you can do uni stuff then
that's kinda what I did
getting A's is hard tho, It lowkey takes a lot of self confidence
I personally don't think so, it's simplying grinding past papers for all of high school standardized math tests, from my experience.
Math only gets "hard" once you begin proofs
then most talent at high school age goes out of the window
I remember back Went I was doing algebra in high school and I'm actually good at algebra but I would work a whole problem, get an answer and deliberatly choose the snswer I didn't get bc I was so sure that I probably messed up somewhwere.
my self doubt is on another level
Iv'e graduated college now and I'm still struggling with it
when it comes to detailed calculations I mean
and understanding and practicing new concepts
Have you thought about asking your school if they'd be willing to let you take some exams sooner? Guessing you're year 10, you could potentially get some AS exams done if you can move fast enough (I happened to do some exams sooner), so there is that
(Though, of course, that's to be balanced with there being a bit of extra pressure too)
I’m not convinced this is a good idea
Because the problem is if you still sit 3 a levels in y13 (like you probably still would), unis may condition your offer on those, and they’ll generally be harder for you than anything you did early
Learning ahead is fun though, and Khan academy was good for it when I did it (it’s American centric but just figure out the conversion)
are yall in the UK?
That is a fair point, I am speaking a bit from my own experience (and of course what works for me might not work for everyone else), but it may be worth considering - at least I really did love the chance to do stuff ahead 
There could be the option to e.g. just do the pure stuff, and that could make the workload a lot easier (though crystal ball and everything - maths and chemistry were relatively easy to do, geog ended up being quite a lot harder in some parts to the point it took up more time than the last two combined
)
I also don't really like "you'll be fine"ing people too, especially when you don't know much about their situation 
(Yeah, what I did was just “learn it all, then learn some uni stuff”, but I didn’t sit exams early
My school did chuck FP1/2 books at me to self-teach and put me in for those exams in addition lol so that was nice)
Just find the textbooks online and do them
Yeah my school runs a 3 year GCSE so my mock was in February and I got 98% so I'm well on track
That's a good shout actually, I might talk to my maths teacher about that
perfect. Now learn the A-level stuff and have fun
You got this
learning ahead is so fun
Already started on basic calculus lmao
you feel so good
Differentiation and stuff its rrly fun
You got calculus, proofs, and a lot of stuff ahead of you
Final words ahaha
Hmm yeah
I cant study anymore univeristy maths cuz i gotta acc prepare for exams
but its so fun
Yea at least talk about it and then you can think about it a bit, as above it may not come without its risks, but at least you'd be more informed 
you can consider signing up for more competitions e.g. math olympiad or informatics olympiad, or maybe investing your extra time developing some other hobby
Alr well I'll message my teacher and see what he thinks about the idea when we go back to school

@tender eagle when you pinged me to ask that question yes that's how his teacher wants it i know it's wrong but he said his teacher will take marks off. can't type in that channel so just typed it out here. they want sin(a) = x to be written as sin(x) but remove the trig function when combining terms so it's really useless but i can't do anything about his teachers stupidity
sorry wasn't home before so i wasn't able to respond on time
My honest advice would simply be to learn from higher level textbooks
If u feel that u have enough knowledge to start A level maths and further maths, then do it
yo anyone any hard question form sets
yeaa i have
What is it?
I just found out there is a similarly bw wave equation and dna strand
yo guys i have a riddle does anyone here wanna hear it?
A streamer has been live for 2 hours. You just found out and start watching from the beginning at 2x speed. Do you ever catch up to the live stream
Kai cenany
yes
I think
hold up
those 2 hours would be 1 hour
but by the time you spend 1 hour watching
he would have produced 1 more hour
and you would need 30 mins to watch said 1 hour
but during those 30 mins he produces another 30 mins etc etc
so NO!
YOU WILL NEVER CATCH UP!!!
@rancid abyss give me the million dollars
damnn ur smart
u had the same thought process as me, but unfortunately it turned out to be wrong
I'm wrong?
ye
Approach..?
Converges
Always forget the mathematical term 😂
It's a restatement of Zeno's dichotomy paradox
yeah
ooo interesting
In a way, both this and @rancid abyss answers are correct, which is why this is still regarded a paradox.
wow thats actually interesting
whose that fella in your pfp killuminati
That is him
oh nice
The series definitely converges as you said, but you need to take infinitely many steps in time to get there. Intuitively the reason you have the convergence is because of the reduction in the length of the time steps, but you still need to make infinitely many to get there.
So it does take 2 hours to catch up, but you never will because it takes infinitely many time steps to do so.
Idk if there's a precise resolution to the paradox perhaps in non standard analysis. But the notion of a limit certainly does not resolve anything.
Not really
It is me, but 50 years in the future
woah
Dude have photo of himself in 50yrs
Quite counter-intuitive if you think of it as an actual physical problem, which it is not. In the real world, we use real numbers and properties such as convergence and what not to model things but it's more appropriate to think of physically relevant numbers as floating point approximations of reals.
It's obviously morphed from an actual picture of myself.
Respect to the turtle...
You use AI to change the way your face look?
This was done way before AI took off.
That's crazy
Photoshop?
I want to see my face when I am 80 years old
Well editing presets from it, but yeah
Nice!
He said that is not AI bro
Well doesn't Photoshop have AI now?
But he said no AI back then
I will just take a ss and draw white beards on it
No AI
AI
Alright buddy
😭 i will get a high GPA and get a good job
my honest reaction with having 4gpa and i didnt get any job
even cashier

lmfao
I feel like if I made the next big update to graphics and manifold simulation, no one would know, what do I do?
I mean like 4d+ and wacky geometries, so?
Thanks Jen. X E.
you do it first
Do what?
have you learnt calculus, as ppl have been telling you to, yet?
There are already weird space graphics things. X E.
Found ways to get around it until I can get official stuff. X E.
I tried, I can't cram that fast. X E.
i see..
I know, I learned how to integrate mostly anyway. X E.
I already make 1Md, no one elses' can, so?
Perpetually a layman doing stuff that should not be possible. X E.
That's the spirit
Are you sure?
What are you describing?
I am confused. X E.
I actually have not worked on anything for like two months, just unsure if recognition is for me ever and unsure what to do about a misfiled copyright. X E.
Keep being awesome people. X E.
I have way too many projects, my successors' successors' succesors might not get them done, so?
Well, want to hear some?
Thanks for talking anyway. X E.
what is X E
i don't know. X E.
X E. is within their bio :3
It's 19 minutes in. Too early to tell the day is fine from where I'm at.
hey random and slightly personal question, are you from India? no pressure to answer but you always criticize things surrounding it in #book-recommendations so I assumed you have experience with the country hahs
Hi again. X E.
Unfortunately, yes. I am from India and am currently living in it for a short while doing some spine chilling research on how shit things are when it comes to math and physics education here lol.
And I grew up here as well so I have personal trauma from being in this shitshow and then getting humbled out in the real world soon after.
At times I wish I hadn't come back, but then the food convinces me otherwise. The one redeemable quality of this place is the food lol.

Tbf the reason I tend to be so critical, especially there is all the geniuses who come looking for overly specific resources only to study for an exam. Like, come on, have some interest in the subject and explore a little ffs.
Or, if you're not interested, why bother giving a hard exam that involves said subject?
I was irritated and decided to do math instead of going on insta <3
that felt amazing
Are you sure you spelled it correctly?
probably family/societal pressure, I don't know much about the people there but I hear that education is pretty important for them (but instead of knowledge they focus on exam scores)
spelled what properly?
The thing you decided to do xD
My gawd. You're too pure
I GET IT NOWWW
lol
It's not the education that's important. It's the social bragging rights.
yeah no I got drunk once and decided I'm not built for substances
All the hydrocarbons inside you weep
goodnight
Hi
can someone explain the math behind the reason why a 50 cal bullet is so much more powerful and way harder to stop compared to a 9mm or 556
if we go by this formula
E=1/2 mv^2
Its many factors actually
Stuff like momentum also play a role
Let's not go by merely a formula but for what it means. It's physics after all.
Kinetic energy is literally a function momentum and mass so this would account for all that.
Basically
Ignoring the specifics of the numbers, stopping a moving object is mechanically equivalent to making it lose all its kinetic energy. The rate at which this kinetic energy is lost depends on how much it has initially. Thus objects with higher kinetic energy are harder to stop.
A bit more nuanced. Indians aren't direct. They're socially cunty.
Is Sharma ji ka ladka a real person tho
It's a hypothetical overachiever that your mom and everyone else knows about.
Sharma is a very common last name. It just means son of Sharma.
As someone who lives in middleeast am glad i dont have similar experinces because my country doesnt have these types of bathrooms
LMFAO
Any questions
You?👀
Yes
I got 18 years of experience
I got 21 years of experience
dude you are 19
20*
Baby ahhhhh
Miku mid
ur mid
You mid
Didn't ask for self-recording btw 🥀
,ti
The current time for minhtq411 is 11:07 AM (AEDT) on Sat, 04/04/2026.
I woke up at 11
The current time for kensukeken is 08:08 PM (EDT) on Fri, 03/04/2026.
minhtq411 is 15 hours ahead, at 11:08 AM (AEDT) on Sat, 04/04/2026.
Dude is night
Why anime girl voice sounds cute but irl its cringe
Dude.
No idea
Dude dont know your own time
No it was 4pm
was
How tf it's already 8pm
I assume bro played game for 4hrs straight
Wow you read
Yeah...
For??
Infusion pumps
What could this be
Fluids, nutrients or medications
I got this book for a reason
It has great questions to study
Nut allergies
Skill issue😭
Yea things like that
Does your eyes not hurt when reading something in pdf?
I have a pdf for the book I just got and it didn't had a lot information that I wanted
But I'm grateful that I have the physical book now
Pdf are the same as hardcopies
Not all
Grateful that you don't have to share to your bitches
Wdym not all they are the same
Omg LMFAOOOO
I'll not
I just checked the questions and it didn't had the answers
But the physical book has them
Maybe it does have it
Nice
No it doesn't
Weird
yea
the author did publish the 2021 one and it gave me 2019 one on person
i aint got a tutor
they are useless
weird bc they change things every year
No, i mean the professor or sth
Tutor here is like phD people helping professors
My uni have those people call tutors
oh we have TA or GA here
Whats that
tutors are basically random ppl
teacher assistance and graduate assistance
Ah yeah
Some of them are good some idk
Lwk last time i ask my assignment here my tutors on this sv too😂😭
lmao 😭
i tried to applying for tutor and never got a response back
🥀
like i could tutor the ppl who are taking cs courses or math
first year btw👀
👀
I think tutors are mostly last year bachelor at least
not all of them
You too noob for this mission
some ppl tutor in their 2nd year
stfu
im already in my 2nd year but i changed majors 😭
Then next year for bro if you are lucky
yea probably
if my schedule is way too busy i wont apply for it
cause it might NOT be manageable 😭
laugh for yourself
so you in fact free to do ts
cs ahhhh major
yes
Changing major ahh blud
Wait did you have to study lambda calculus last year
I have to
i changed for good
depends on your school
i only took linear algebra on my first semester
Linear algebra is compulsory tho
dont get excited lil blud
it sucks ass
i had to write java code on paper 🥀
i wish you the best
goodluck finding a job too
good luck with dementia patients
Is this sarcastic
mhm
yes no?
spell it
m h m
just say yes buddy
i am 90 years old grandpa that have joined many war in ww2, iraq, afghan and dont know these new terms
i did learn a lot of gen z slang on discord
starting in 2021
this is a guy with whistle meme
brainrot
skibidi
ts pmo fr
that too
damn
ts tuff 🥀 🪫
lowkirkenuinely yes tuff
no gyatt literally means ass
ah edited
what else
i think 67 is meant for gen alpha
or gen z
that meme is literally boring
61
real
the meme was popular in 1969, where i have to fight against americans during the war in vietnam
if i remember correctly
LOL
well it does make sense
im trying to find my java code on paper
but i remember sending this meme in here
ye its a meme
Who would cry when do code
I dont remember
bro is fully replaced with ai
Wdym
you’re quite new here
I am new
one day you will cry once you start working with java im being fr
cause i did
I dont even code back then til now
The last time i code was doing some city competition for robocons
a lot ppl said this when i was in cs and they pretended to be smart when they knew ai is thing
it lowkey made me piss off cause they were relying on it
AI code for them
i found this btw #chill message
true
We lwk doomed like the terminator movie ngl
no but like its getting annoying cause they arent really learning something
just writing prompts and generating stuff
how cooked
gonna respect ppl who graduated before ai ngl
my assignment notes btw
so can use AI and understand it ahh
as long as you understand the code
ofc
take me few weeks to understand high ordered functions and list comprehension btw 😂
when does your 2nd semester starts btw?
my sem ends in 3 weeks
4 months approximately
same
and you already ended semester?
i started in early January and in ends in late april
mine is like late feb
k
I know that you deleted it.. but I saw what you said
Can anyone help me with polynomials?
pearly remembers
!help omg
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
you asked in discussy already
This is a good penalty
what
oh man seeing all those laugh reactions pile up before the pic loads
I hope it's a funny image
Autism day was 2 days ago
You missed your chance
sure bro
i know…
Yo!
Yo!
nerd
(friendly fire btw ❤️🩹)
Thank you
<@&268886789983436800>
@vivid halo What are your thoughts on Cannon–Thurston maps?
hi
I want to share a joke that got me banned from another server
but I don't think it was ban worthy
i think they thought i was a troll
anyway
it goes like this
"here's a fun prank to play on somebody, walk into a gun shop and ask if they have anything that can kill gun store owners"
I wrote it btw
I write jokes sometimes lol
how is this a ban
fr
no idea lol
I write way more jokes but they're not appropriate for this server
I'm into shock comedy haha
Gaddi Rubicon
Nichi kr tone
Guide jitne leader
Sare mere knowen
real
I'm into funny comedy
once again the math you care about is like, completely disjoint from the math I care about lmao
I like Cannon-Thurston maps
I have been hearing the name constantly, care to elaborate?
Yeah, so I think the first sources of these things are from Kleinian groups and hyperbolic 3-manifolds. Suppose M is a closed hyperbolic 3-manifold which fibers over the circle, let S be a fiber (so S is closed surface). The hyperbolic structure on M yields a holonomy representation pi_1(M) -> PSL(2, C) = Isom^+(H^3) which is discrte and faithful, so its image becomes a Kleinian group. One often aims to study a Kleinian group by considering the geometry and dynamics of its action on H^3 and its boundary at infinity. Specifically, you might like to understand its limit set which you obtain by taking a point x in H^3 and seeing how it approaches the boundary S^2 when applying elements of your Kleinian group. It's not hard to show that since we started with a compact M, the limit set of pi_1(M) is all of S^2.
Now we can consider how the fundamental group of the fiber pi_1(S) acts as well. Via covering space theory, the preimage of S in the universal cover of M (which I'm identifying with H^3) is a plane, and this plane intersects the boundary S^2 in some circle. It's not immediately clear what this circle looks like, but it turns out that since pi_1(S) is a normal subgroup of pi_1(M), their limit sets coincide. So this circle actually becomes a space-filling curve on S^2!
The original Cannon-Thurston paper shows that if you consider the inclusion S -> M and its lift to the universal cover i: \tilde{S} -> \tilde{M}, this admits a continuous extension from the closed disk (the closure of the plane) into the closed 3-ball (the closure of hyperbolic space). And so this theorem says that you can find embedded disks in the 3-ball whose boundary is space-filling, which I find remarkable. And furthermore these disks admit lots of symmetries coming from the action of pi_1(S)
Here's a figure from Thurston which intends to illustrate what this might look like
The orbits of π ₁ (S) are dense in S² you mean?
Yes, but the limit set also arises from a continuous map from S^1 into S^2 and the closure of its image is all of S^2
This is so cool; I'm doing my thesis on Mostow rigidity and have come close to the hyperbolic 3-manifolds business
ah okay
Mostow rigidity is an amazing result, I only know the Gromov-Thurston proof but I'd like to understand Mostow's original proof via ergodic theory on the boundary
"manifolds that fiber over circle" there's like 3 fat books with that title
Yeah, Thurston's hyperbolization theorem for 3-manifolds fibering over the circle is a remarkable result. It's amazing that such hyperbolic manifolds exist precisely because they give rise to such space-filling curves. It's still so bizarre to me that space-filling objects arise naturally in this kind of context
it's so shocking to me there's so many proofs and they're so different from each other; I've not exactly read the original proof; I've looked at Tukia's and Sullivan's (this one uses ergodicity)
Oh, and I meant to add that nowadays Cannon-Thurston maps usually refer to a more general context. If you have a Gromov-hyperbolic group G acting nicely on a hyperbolic metric space X, then you can ask if the quasi-isometric from the Cayley graph of G to X admits a continuous extension to the Gromov boundary
right, ofcourse
generalize to death 💀
I would really like to understand Sullivan's proof, and I actually need it to finish understand hyperbolization for fibered 3-manifolds
oh you might need what's called "Sullivan's Rigidity theorem"
Yes, that's exactly it
Hubbard should help with that right?
Yeah, I just need to spend more time mulling over the decomposition into conservative + dissipative action
it's actually slightly different from what I'm reading lol Sullivan has two papers on two different proofs of Mostow Rigidity
makes sense
This is a very cool circle of ideas though, happy to talk more about it whenever
cool!
@sharp sage @magic python aside from that, DID, (C)PTSD, fibromyalgia, migraines, epilepsy, muscle spasms, light sensitivity and cold sensitivity (independent of the other things), a few other personality disorders (who'd have thought), am sterile, I have a bit of an...issue with alcohol and caffeine, possible genetic issues due to....family making poor decisions on who to marry in the past, possible mild scoliosis, chronic fatigue, immunocompromization, insomnia, and uh...yea this list is already getting pretty long
Even just ADHD can be horrible, I can't image how much that sucks 3:
Holy
Thats a toxic environment
it feels like your brain is nowhere and everywhere at once, constant intrusive thoughts, pain, holding yourself back from actions, having to deal with the other creatures in your brain, a very complicated relationship with trauma and a very exaggerated reaction to even minor stressors, common ||suicidal|| thoughts, insomnia, etc...
would not recommend, absolutely would not recommend
May I ask what does ADHD feel like
I just am not sure bcs maybe I might have too
I can't be able to check up cuz my parents would find out
I am probably not the best person to ask because my mind has been absolutely fucked up rn
But things i know are from my adhd I can gladly tell you
Yeah sure if it's okay?
The worst one has to be the inability to sit still. It's not a "I want to move" it's more an involuntary shifting that my body does, and it mainly happens when I have nothing to focus on
🫂
I think it makes my thoughts faster, but unfortunately because my mind is kinda being bitchy I can't actually know for sure, but the thoughts I at the very least talk with are fast
I have issues with accidentally interrupting people as well
Uhhh another one is memory
But I can't say how bad it is from adhd because again something else has been messing with it lately
???
In theory i should ignore my own stools smell
But nah
Im smelling it
In theory those are inside thoughts.
I got bad memory too

Bad memory isn't a good indicator iirc because so many things cause it
Stress is also one that can fuck it up BADLY
Ts organ sucks
Uh I have horrible object permanence I believe
I'll set something down and literally the second I turn away I don't know where it is
stress, noise, meds, trauma, everything
Even if I directly see it
Oh that's also another bad thing, processing issues
I literally can't process words sometimes
Or visuals
Though visuals being fucked I believe is rarer
If anything I think that isn't from my adhd because it's so recent
Uh I don't know what else I have I can attribute to adhd
And that is probably partially from my adhd
I forget important stuff badly
Once a few years ago I somehow forgot how to SWALLOW
auditory processing is fucking awful
Yep
What-
-# reverse gaslighting where you pretend to know exactly what someone is talking about
yeah, that happens...
Though I'd take worse auditory processing over my visuals just not processing any day of the week
I fucking hate when for like a good one or two seconds I can see but literally cant
Aint bodily functions (swallowing) relegated to the brain stem
not yet but there were times I struggled for various reasons.
Well it could be bcz of snot 
Ive excess mucus in my noses
How many times ive that i forgot
Well when I become physically incapable of swallowing for a solid 2 minutes because I can't do the action, I'd call that forgetting.
we also do the forgetting to breathe and swallow thing a lot, but do you ever feel like you're listening to something and every sentence just turns into random mumbly noise
Thats bad.
me fr
I hear words but they don't have meaning 
we also have that
Oh it only happened once.
Oh thank god
Now on the other hand, what people are saying is "depression" was a fucking bitch when it came to swallowing
Fuck there was a solid 2 weeks where randomly I couldn't even chew
(Depression in quotes because I highly doubt it)
But yeah ADHD is annoying, and meds are the last thing I'd want to deal with it right now
I also haven't felt hungry properly since
What the
Yeah my body got fucked up months ago
Is this magic
pollen allergy (liver and such completely annihilate literally all meds and "building immunity" sounds like risky bs), and when I started with self discovery I ended up going to bed and crying so hard I thought I was gonna suffocate.
The fact I am alive? Probably
I cant imagine someone that cooked and yet still chatting
I'm actually in a rather good position compared to some people I know
The worst of my issues is this bullshit philosophical thoughts I've been having that I can't seem to shake off
Basically "you are but a small part of what others know"
Strange
I only just realized the me I know is technically a hallucination soooooo
I´m probably in the second worst position I´ve heard of, the worst was a great grandmother that died of something like parkinsons
Fuck, I can't even be certain the me I know is actually chatting here tbh
Because "my" thoughts clearly don't line up with what I say and or type sometimes
Your having philosophical intrusive thoughts now!?
Better than the shit I had for 4 months
I'm sorry, I don't care if it's fake, being sexually harassed in my head kinda wasn't pleasant
Even if it's 30 minutes in the days it happens
Luckily those are gone now, after a very weird day of feeling "split" in the morning I feel similar to how I did before all of this stuff
So I can finally be me again
It's whatever, I don't need to be aware of my real thoughts to utilize them
I mean i could explain more 
Like I don't want to vent but like if you have any questions go right ahead
Same as how when i talk about gender dysphoria, I say it as it is
Nah im good
Fair
My shit is definitely coming out.
What do you mean by that
Like literally.
Bruh.
adhd is beating my ass
my nemesis
I scrolled up and saw people talking about adhd... strange coincidence
If only we could just shoot our issues 
Oh I thought that's why you said it ngl
ye same here
I'm in a significantly better position than most people I know
Same
Our issues 🔫 🙍♂️
Nah, just struggling with starting tasks as usual
God that also hurts so much being in a better position icl
so I vented a lil
A lot of the time I fel like I should stfu becuse like, what I'm facing is frankly very very little compared to
A: people in wars
B: other people I know
C: At-least I can get out of bed, go to uni, etc.. and I have a roof over my head, food on the table, and a family who, even if relationships are bad, at-least are there
I mean if I get to talk you do
Oh i knew I forgot one of the bad things of ADHD, sensory issues 
Hell my nails touching certain objects feels so wrong
Eh whatever ADHD could always be worse
I thought this was an autism thing
Well then my autism must be low because I believe I was tested when i was younger
Or it just developed with age
Some people do have to get re tested and stuff
looks at pfp
erm...
well, depends on the person and how they process and handle and whatnot because autism isn't just one "thing"
I'd argue socially it could be worse

Note I said "that bad" and "milder"
True
Yes
I believe people don't normally use "mild" when talking about it...
assuming by "that" you're referring to more severe autism
No im not
I'm saying it isn't "that bad" because it can be unnoticeable sometimes when it's more mild, and it could always be far far worse.
Like in the grand scheme of things, it's barely anything most of the time
Yes that's why I said that socially it could be worse sometimes
because people then don't take your autism seriously and think that you're overreacting and stuff as opposed to them taking it seriously when it's more severe and noticeable
To be fair, autism is poorly depicted in media
And if you don't fit stereotypes you "clearly are faking"
wait so you're telling me austim ≠ super math doctor genius?
I can't lie, I'd rather not get a diagnosis because atleast with ADHD I won't get infantalized to the point I want to physically harm people
No not at all, that is actually a harmful stereotype iirc
Same as the term "gifted"
Dawg what
Ah you also got that shit? It's so disgusting.
Thats normal
Like actually i could've done some actual stuff if I wasn't thrown into the "gifted" box
Now I'm fucked
@magic python btw i was talking to pearly not you
No shit

It's not even that it causes you to panic when people call you gifted, it's when people have the same expectations without using that term.
I went to my therapist in February and she said that I'm one of the smartest people she's ever seen and that she'd like me to help her with her research in the future. That was on my mind alot the whole day and I was panicking because it meant another way to disappoint someone until they realise how wrong they are and look down on you
I haven't seen her since February 18th
We shouldn't praise children for doing things that could trivially be learned in an hour, it makes many people overconfident and then literally forget how to learn
Like I get saying "wow that's so smart"
But actually praising them is something that shouldn't be as normalized
That boosts their ego or sth
It makes it much harder for them down the line if they are always called smart and a genius because eventually they will believe it and ride off of the knowledge they already have
And well, when you haven't actually been learning anything for years, that ability gets lost.
So you get fucked when you find something you didn't know
sometimes I wonder if I have adhd or the "gifted" virus
Like I've accepted I have no future academically all because of the bs I was exposed to as a young child
I can't learn how to learn again
And as such, I'd be too far behind in any actual setting
It's whatever, I probably wouldn't have done well anyways due to my motivation issues
Not true
Sometimes actions comes first then the motivation
your actions, your thoughts and beliefs all affect one another bilaterally
When it got to the point recently I literally didn't have the motivation to even keep myself alive I think it won't let me learn properly
Like I couldn't care less about my health at that point
And well, motivation issues sometimes get worse with age
That is why we begin with small things like making up your bed early, or if even that's too much, getting up on your bed from the pronated or supinated position or however you lie down, to create a positive feedback loop and get out of that cycle
If I can barely be motivated to eat or drink why would I be motivated to learn and pull out a book
Also, when I tried recently (few months after the bad motivation issues) I literally couldn't learn
Yeah cognitive impairment with MDD is real and not talked about much
My mind was doing some weird things where I couldn't think properly and also some other things making it impossible to know my thoughts etc etc
Whats MDD again? I can't remember acronyms well
OH
I couldn't do calculations and thought processes I thought to be trivial in highschool in my most recent episode
No i don't believe I have it thankfully
My mind has just been going rogue lately
And this lead me to learn that the me i know is a hallucination, which was uh fun to think about for a week.
(I was looking up some stuff about terms)
Now it's actually kinda funny to think that I technically am not real
And that I am a small part of what this body actually is
You know I should probably be more concerned over such a realization but it's whatever, who cares what I am, it's the combination of all my parts that everyone knows

Life's life 
Nothing I can do about it.
hi
good to see you here lmao
Your tag is what prompted me to join actually
yayyy 😃😃😃
I used to be here years ago in another account
trans, intersex, theriofluid, all that, dealing with either hallucinations, delusions, maybe localized seizures or brainfog, memory issues and complete numbness (never neither group, sometimes both)
used to be plural, can´t commit to projects, learning a dozen times slower than I usually would, can´t sleep, can´t feel "fine" or "safe", got half the trauma you could come up with, received some insane accusations and got kicked out of communities on multiple occasions, healthcare is hell-care (if they helped you´d have less appointments and no reason to go back so doctors wouldn´t earn as much money)
debilitating pollen allergy.
insane liver and such so a lot of meds don´t work.
hate eating for a dozen reasons but never have deficiencies or much weight loss.
senses heightened so far I could count the pixels on my phone and maybe listen to neighbors through walls.
-# those little human bodies of yours sure are strange
naisuu
academic career was weird too... taught students more than their teachers and got teachers up to date with their fields, but I sucked at centralized exams and most non-stem subjects so I got kicked out at some point
God I need to fix how I think again because I've started fucking up pronouns
Like come on just use first person pronouns it isn't that hard
And the royal we kinda sucks sometimes, hell, a few times I've accidentally typed it instead of I, I need to learn how English works again
yeah, it happens. I´ve basically given up on german.
Fair
Wait I think I've even used "our" a couple times 😭
I also need to for a different reason.
Fair
Nah
Cuz i use chopped up fragments when communicating
Irl and on discord
My proper grammar skills decayed because of that
I mean English is kinda hard to remember some things
a book suggested i save up and go study in the philippines
To improve english skills
Tbh if i can get at least 7.0 ielts i might be able to
I need to not fumble my speaking and writing for that
That would force me to speak proper english (or maybe not)
Hopefully
realest thing i heard today
r u indian?
No
I love the We
Don't you mean "we love the we" my good sir?
So glad other people know what I'm talking about
We love the I
We hate "you" and "she" 
No like actually I've caught myself referring to myself once as "her" like what????
Not internally I dont
Well I try not to
we are venom
It's okay, we still appreciate you trying 
Yay :3
Atp I might as well be 🥀 😔
I've started using gendered pronouns to refer to a phenomenon which is also weird but it's whatever
Like come on its an "it" it isn't even real
I definitely do sometimes
Well I do but I don't want to
I make a point of viewing my soul, mind, and body, separately. And they talk to eachother



