#serious-discussion
1 messages · Page 340 of 1
idk 
self reacting in a chat between 2 people is like the saddest thing imaginable
I made a chatting app that I share with my family and friends. In that one you can set it up so that you can react with X amount of emojis in one click
but this sounds like a fact that you are stating and not a question so i will answer by yes 

Nah, I’m just the kind of weirdo who turns one message into 3,000 separate messages
It was originally a question
But I found out the answer after
OOPS WRONG REPLY
I mean you
ally self reacts in dms confirmed
ohhh i see

ah idk because i dont hold an iphone
Fair
i also really hate iphone so i dont want to hold one unless i am forced to
my iphone, too, levitates
wait you can react to text messages
or do you mean discord
we have lancey's twin now
You can
yeah this was a bit in discussion
I'm leaving this nick for like 5 mins in case anyone else opens that channel
ew light mode
shuupido
anyways since when does sms support this
since forever
when i heart react a message from my grandma she always immediately reacts with another heart on the same message 🥺
😂 ❤️
this is also showing how little I text people I guess
surely this is just in the last year
Emo
I mean I send messages
I just don't give out my phone number often
other platforms are more convenient

Me IRL fr
I actually should've asked one girl for her number, she started a conversation with me on a train and in hindsight she probably liked me
Love at first sight?
but I only thought of this 50 mins after the leaving the train as I had walked from my stop to my house.
well I sat down and she asked if I listen to metal
I said not much, but some adjacent stuff
we talked about music for like 15 mins then I got off at my stop and walked home
I read a post about someone regretting not asking a girl he met at a theme park for her number. He genuinely fell in love with her and even 3 years later is still hoping to see her again
Idk how I personally feel about love at first sight entirely. I don't think it works that way for me, but it could for some
kinda. I have tinnitus and I find music more interesting than endless eeeeeeeeeeeeeeeeeee
Music is amazing wymwym
so I'm more or less perpetually listening to something if I'm not in public or talking to someone
I have 40k mins on Spotify this year
at first sight, one only has access to physical appearance, movement, voice, social cues, and your own projections
Not a WHOLE LOT but still
you cannot love anyone as a person then
I don't have spotify
i see 
it's not really representative of my taste yet, it's been too much of like a dozen songs that got stuck in my head during exams
it also doesn't cover my phone music usage, which is just through an mp3 player app

You're defining love that way for yourself tho
how do you define love
Omgg
Most likely similar to your definition, but what I meant is: each to their own :p
it's never over
my kingdom for a kiss upon her shoulder
it's never over
all my riches for her smiles when i slept so soft against her
it's never over
all my blood for the sweetness of her laughter
it's never over
she's a tear that hangs inside my soul forever...
my niece said I should listen to radiohead. so far I've only listened to OK Computer a few times, but I like it.
real
I want to find more Chase Atlantic fans 🥀
Istg no one knows them 💔
the philosophy of love is somewhat foreign to me
chase atlantic? well just go east, it doesn't exactly move
me with so many things
Be quiet.
Is there a cohomological definition of love
true tho
try in rainbows
a lot of the songs I listen to are about murder
one can think of a relationship as a space X
there's one singer who does a lot of breakup songs I don't remember her name
im listening
then simply one suggests that everyday interactions, routines, etc. form a big pile of local data like a cocycle
I know it does she is super famous too
Olivia Rodrigo is the only one I know xd
I don't remember her name and I thank god for this
if all the local data is just noise it might be coboundary
I feel bad for OR
there was some deleted message accusing me of murder but it actually reminds me of something funny
there's this one rapper, scarlxrd, who generally has very violent lyrics
if it forms something that cannot be globally trivialised, it defines a nonzero class in H^1(X) or higher
one might postulate therefore that
but then whenever you see him in interviews he's just like, the happiest dude who loves dancing
speaking of which my friend's bf died : (
Love is a cohomology class [L] in H^*(X) that is globally meaningful and not exact
real
sorry to hear that
I'm sorry to hear
@timid bronze okay, ill play uno with you now if you would still like
it's like he puts all his rage into the music and then has none left for the rest of his life
I'm tired now ................
vent maxxing
and the music is pretty good
vaxing
I've heard some are against this.
Reminds me of a post asking "would you rather wax your leg or be in a breakup"
Breakup ofc wtf waxing your leg is so god damn painful 😭
I have never waxed my legs
yeah me either
I take that to see what I look like, now I'm curious
probably a good call, I don't think that's what it's for
dont you like wax for special occasions or something
Lmk when you're online
Idk who would wax when they could just shave
something something shaving is bad for girls something something
Shaved my whole life , nothing has happened 🥀
yeah it's probably an old thing idk
I often hear it makes your hair more manly when it grows up
then shave again
yeah figured
indeed
What is your genre of music
sorry i was busy responding to ppl in survivor
we dont have to, we can tomorrow
rolls eyes
but i can now
WHAT
but i cant be loud cuz
Ohh
my roommate is going to sleep soon
I mean up to you
I don't wanna risk waking up your roommate
So tmrw works as well
ill have headphones in... i can just be quiet
What if I'm too funny!
You always miss a slap on 6
🥺
hi
ill slap you
im opening blox
Ok
Hi
Join the-obsidean-vc.
bizarre. lots of rap, but mainly underground stuff. xxxtentacion would be the best known of that genre. A whole bunch of electronic music, primarily Witch House, but I also go through phases of listening to breakcore, dubstep, hyperpop, or other misc. things. Lately I've been listening to more black metal, mostly old stuff like Emperor.
cut hairs look thicker because they haven’t been worn down by sunlight, at least that’s what I heard
or maybe just worn down in general
i don’t get much sunlight and i observe the effect so 
on the other hand there are songs I like from johnny cash, or mary chapin carpenter, or a lot of random places around the music world
my brother used to be big into underground hip hop
i’m not too much into hip hop, but for some reason this one song he showed me still lives in my head all these years later https://youtu.be/4gAZVTkMIwE
Blue Scholars - Seijun Suzuki
Cinemetropolis
Official Release Date - June 14, 2011
You still may be to get it here:
http://www.kickstarter.com/projects/bluescholars/cinemetropolis-blue-scholars-signs-to-the-people
For more info:
http://bluescholars.com/cinemetropolis/
How did I get this before hand? Well, I pledged 10 bucks, ...
catchy stuff
will listen once I'm back from water hell
water… hell?
this is a very different sound than I'm used to but this is quite good
yeah, i guess does underground rap/hiphop mean soundcloud stuff nowadays?
yeah I mainly meant soundcloud but this song is going on the list
I'll check out the album
I mean, soundcloud rap somewhat evolved from this as well
$uicideboy$ started out handing out CDs before they became some of the first soundcloud rappers
I read "Witch House" as "White House" ......
Interesting though
you've never listened to the Trill Clinton saga?
Noo
man, CDs are kinda nostalgic
i guess vinyl kinda plays that role for most people
yeah in that sense I guess they're like blu ray
around for a while but not long enough to replace the older physical format before we moved online
vinyl will always be more iconic to collectors
CDs are just more practical
tbh i have a hard time differentiating above 128kbps
and i have a decked out audio setup
do people have cabinets or walls full of vinyl
that would be so sick
i’m looking for things to fill my apartment with
o god it’s probably so expensive tho
you can buy them used
I'm not that kind of person, I'm more utilitarian with music I guess
I love bones' philosophy of "please pirate my music"
he met someone selling bootleg merch of his and bought some
I saw them extremely cheap today
Maybe listen to Heaven and Back by Chase Atlantic
but I don't have a turntable
okay that's on the list for tomorrow, I should sleep now frankly
.remindme 12 hours
Created reminder #serious-discussion message for <t:1766942756:f>
Fair
ye, gn, thanks for the music recommendations yall
it is good so far, I'll finish listening to it tomorrow probably but I'll likely download it
Lemme just say, I like mathematics. But this server is too big for me. Thank god when I leaked my concept for a fibonacci spiral ||HA! You're not getting my secrets|| everyone ignored it. Not trying to be rude, but I am leaving this server. I don't hate it. I just don't get much from it. Goodbye.
take care 
you will be missed, genius
Such a shame
I fell for it 
😭
AHHHHHHHH
Depends on the set in which you're looking for x and y
If x and y are allowed to be any reals or rationals, then yes
Integers, even
If x and y have to be natural numbers, then no
Is the only valid solution 1 and 0 for the natural numbers?
I can’t think of any other naturals that add up to it.
How about 100? You can have 60+40 but you can also have 50+50, etc. is there a generalization for this or a formula?
99+1 also works. Do the number of solutions grow exponentially for every digit added to the right hand side?
There is no nice closed form formula for integer partitions
Ty
They grow asymptotically
I don’t see why though, doesn’t probability have like a formula for the combinations or orders or like permutations or something of sets? Like 2,3,4 being arranged differently and counting how many possible combinations there are for 3 different numbers
It’s 3!
Yes but that's combinations
Can’t you do that for an equation
it turns out the ideas for getting sums to add to something
is funny enough way more complicated
That’s fair
This is really interesting
A number like 4 has 5 partitions, I meant like is it known for big numbers too?
No it's known exactly, it grows very irregularly, which is why we only have asymptotic bounds
A lot of these number theoretic objects require asymptotics
also I don't know enough to explain exactly why we need asymptotics for this
so I'll leave it to someone more experienced in this stuff
Also, for big numbers can you cheat a bit by saying that it’s the sum of smaller partitions? Like since you already know that 4 has 5 partitions then you can use that fact for bigger numbers?
If that’s a thing?
Are asymptotes like an exponential functions left tail approaching 0?
no not always I don't think
so normally
when we say something grows "asymptotically"
it means it grows bounded asymptotically by some other function
so like
uh
If i say f(n) ~ O(n^2)
Oh, I haven’t learned that before.
It means that f(n) grows "similarly" to a quadratic (up to a suppressed multiplicative constant)
Interesting
Yes, that is an example of an asymptotic description; asymptotics basically involve statements of the form "as x gets large (or small, or close to 0, or what have you), this particular function of x behaves "roughly" like that other, usually simpler, function of x"
Sorry if my explanation sucks, I usually think of asymptotics directly in terms of algorithm analysis
so I don't deal with it in the standard mathematical way much
Yeah outsider explained it way better than I did
Interesting
So "for very small x, e^x is pretty much 0" is an asymptotic statement
As is "for x close to 0, sin(x) is about equal to x"
i read this as transphobic statement
I see.
This is of course vague and informal, but can be made formal/precise using the language of limits
Does this have to do with the fact that sin doesn’t have an end
Not really (also I'm not sure what you mean by sin not having an end)
I am hoping not to make any transphobic statements.
I didn't even enjoy Harry Potter all that much
it has to do with the fact that the graph of sin and the graph of y = x look more and more similar as you zoom into the origin
It oscillates
The function
That means it's periodic
I mean this
no, i mean, i read asymtoptic as transphobic somehow
I know, I was riffing
ohh sorry
What about when you zoom out too?
well of course they look very different
Does very small here mean lim x-> -inf
Yes, "small" probably wasn't the best word there
That makes sense!
Oh
If you zoom out it just looks like it keeps oscillating
Ohhh I was thibkibg 0 at first and I was like ?!?!?!? What!!
Yes, you will usually have different asymptotic descriptions for different "regions" of interest
Right, but on desmos it visually looks like it’s just x=0 I think
for x close to 0 you have the asymptotics of sin(x) ~ x; for very large x you don't have much other than just being able to say that sin(x) is bounded by a constant (that constant being 1)
That's still asymptotics and occasionally helpful
That makes sense, not every region is the same
Well yeah, if you zoom far enough, then 1 looks pretty much like 0, and sin(x) is bounded between -1 and 1
So zooming out very far you basically see a horizontal line
Floating point representation moment
If you use tools like limits you can validate that the function of sin looks like a linear function?
Also this
Locally
This is what tangent line approximations are all about
Yeah
And derivatives were basically invented for that.
In this section we discuss using the derivative to compute a linear approximation to a function. We can use the linear approximation to a function to approximate values of the function at certain points. While it might not seem like a useful thing to do with when we have the function there really are reasons that one might want to do this. We...
Cool
ANd indeed, if you zoom in very close on the graph of the sine function, it will look pretty much like a straight line, wherever you choose to zoom in.
Yeah haha
The slope of that line will differ depending on location
Yeah! That’s logical.
I think introductory limits are best approached with intuition
Like just think what happens as x gets smaller
e is gonna be divided by a larger and larger number
So it’s gonna approach 0
But doesn’t that apply to any function? Including exponential ones? Where if you zoom in it looks like a linear function?
No, but it does apply to a lot of functions, and in particular to most functions people tend to encounter early on.
as for sin we know sin is continuous and defined at x=0 so intuitively the limit as it approaches 0 will just be sin(0)
Cool
For a simple example where it doesn't happen, consider the absolute value function; the graph y = |x| doesn't ever look like a straight line if you zoom in around the point (0,0)
It applies to a good class of functions, but consider discont. piecewise functions
Idk if that chain of reasoning actually holds in general but I imagine it might
as an example where sometimes tyou may not have limits exist
Cool!!
Or the absolute value function as outsider said
I've used this chain of reasoning too many times on calculus exams
What does it look like then
well not quite. |x| is also continuous and defined at 0 but |x| ~ x is false
|x| has no derivative at 0 though if I recall
OOPS I meant continuous and diferentiavle
Differentiable
But the absolute value function is itself linear? Isn’t it funny that it doesn’t look like one?
yes i think that works. although now that im thinking about it i might have just said smth wrong 
No matter how much you zoom in, you will see this right angle
It's linear in each piece
Yeah exactly
As James points out, it's not linear
Recall that the absolute value function is defined as:
x if x > 0
-x if x < 0
It's two linear functions "spliced" together
there is no definition at 0


Except for piecewise functions?
Right
Heya
There is, |0| = 0
yeah isnt abs defined as sqrt(x^2) and the piecewise is just a natural byproduct of that
You're right, whoops
The piecewise can just as well be the primary definition, it doesn't matter much
Well with piecewise functions you define then "piece by piece" over intervals
say for example
You don't need to define 0, it's defined already; unless you're asking about defining |0|

Like for x is greater than or equal to 0 you have x and for x is less than 0 you have |x|?
Oh I just got confused then
You are using very vague language, and mathematics tends to require precision. I have no idea what you are asking here.
Unfortunately I kinda skimmed through the definition of absolute value functions in Algebra 1 because I understood it intuitively but I didn’t memorize it
The intuition behind the absolute value of x is that it's the distance between the point x and the origin (0) on the number line.
So if x is positive this is just x, and if x is negative, then it's -x, because the distance between -7 and 0 is 7 units
And the absolute value of 0 is 0, since that's the distance from 0 to itself
f(x)={x, for x>/= 0 and -x, for x<0}?
I believe she is asking whether she can define:
[
|x| \coloneq \begin{cases}
x \text{ if } x \geq 0 \
-x \text{ if } x < 0 \
\end{cases}
]
Sure, that's a very common definition of absolute value
Then it has to include 0
sqrt(x^2) also works but requires you to also know what a square root is, and that it always exists for nonnegative reals.
James [It/Its] (TCC)
Yes, |x| is defined for every real x. If you're using a piecewise definition, then one of the "pieces" must include 0.
You can do that
Silly typo owl
Wait, where's the typo?
wheres the typo
happens to the best of us
Was I a smart kid for thinking of factorials before I even knew their existence? I couldn’t sleep at night because I had to have the light on as a kid because I’d be too scared to sleep without it on and so sometimes I’d just stay awake like an insomniac and think of the possible amount of arrangements for any given numbers @true zinc
Hehehhee
great minds think alike that’s what they say
I was 8 and thinking of factorials :3
I think we did something similar around that age, I learned about factorials formally when I was 7-8 but I don't think I really thought of the permutations way until this year actually
Oooo
I was really interested in how many different ways you can arrange 3 different objects and how that extended to 4. But 4 broke my mind because it made a bit less intuitive sense.
Like red blue and yellow
I don’t remember the specific contexts but I know that like basic linear systems and combi were very largely present in things I did as a child in order to figure certain things about 
That’s really cool!
mostly just like linear equations or systems to figure out when something did or would happen and then nCk to do what nCk does 
What’s nCk
binomial coefficients
({n \choose k} \coloneq \frac{n!}{k!(n-k)!})
James [It/Its] (TCC)
The number of ways you can pick k elements of an n-element collection (of distinct elements); so for example 4c2 is 6, because if your 4 elements are {A,B,C,D}, and you want to pick two letters out of those four, you can do it in 6 ways: AB,AC,AD,BC,BD, and CD
As James demonstrates, there's an explicit formula for that, involving factorials.
"Choosing k out of n options" is an operation that shows up in a lot of contexts, which is why it has an own symbol and its properties are very well-studied
Yeh
Regular discussy too adult for my lack of wisdom rn >~<
Welcome to the backup discussy 
It's safer for me in backup :3
This operation relatively appears in counting and probability and competition math. It’s necessary for finding things like permutations and combinations.
That's true, but I'm not sure why you considered it important to tell me that.
Omg
Did you watch GFs?
its so good
Yesssssssssssssssssssssssssssss
Nah trust me, it really ain’t too bad
@stone ferry asked to be reminded <t:1766899556:R>,
IKRIKR
YAY
Hard to find GF watchers nowadays
Do you have have a favorite episode
Hmmm really good question, I loved the time travel episode so much as a kid and still today, and my second favorite episode might be the finale hby?
:3
there are a lot i love but it might be the one where they swap bodies on the carpet
or the first bill one where they go into stans head
Omg that was such a good episode!
Yesss Dreamscaperers
Oh wait gravity falls mentioned?
Yea!
:3
I binged watched season 1 recently on youtube with disney's channel.
I hate Disney bc of what they did 🥀 and other horrid things but yeah
Weren't they insanely bigoted towards the production team of TOH and that's why it got cut short?
I think one of the people went to work with glitch though
Oof :<
OMG I LOVED TAhT EPISODE
Hmm
My fav episode would have to be The Truth About Grunkle Stan
The episode where Mabel is unsure if she should press the button or not
Yesssss
THAT ONE was funny LMAO
Is this in season 2?
I haven't rewatched season 2 yet :<
So my memory is foggy about it.
its very good
Btw the first time I watched the show it was with my sister, and she's basically my twin >w<
We're not bio twins or anything but we're twinsies
This is a clip of the episode (the part I loved the most) https://youtu.be/81_dKa-g2d0?feature=shared
Grunkle Stan reveals to Dipper, Mabel, and Soos a shocking truth!
Watch Gravity Falls on Disney Channel! And check out more Gravity Falls videos here: https://youtube.com/playlist?list=PLA275A88F4FE74A15&si=ekR0EDNwoxDH6cxl
Gravity Falls Full Episodes Available on Disney+
https://ondisneyplus.disney.com/show/gravity-falls
Twin brother and si...
It’s so emotional 😭
OMG
Yea
I’m an emotional girly so I will love emotional scenes!
the episode where they're inside mabel's creepy ass bill world
:3
we know
Syfm
Bill ☠️
Why must C' be at either intersection of the two radii?
Knowing that every segment in both triangles are congruent.
I like how the creators of GF are keeping it alive tho
Show ended tho
Mabel’s world though when Bill trapped her is so real however
Yeah 3:
I want to live in a world like that .
In the final episode?
I outta rewatch it one day
Not the final episode but it’s nearing the finality of the show
I rewatched the show 5 times so far 😭
Omg! Logically speaking, there are only two possible locations for C' that if we know segments AC and BC are congruent to their counterparts can be inside of.
Oooo
It's soooooooooooooooooooo good, it's one of my favorite cartoons!
5 times is actually low from what I've heard, considering all the Easter eggs and lore stuff
Do yk TAWOG?
Fr, ik people will disagree, but I wish there were more seasons
No, whts that
I don't know why they stopped it
The amazing world of gumball 
But it's probably because the lore kinda came to a halt, it would feel forced
Only a couple episodes that I don’t remember, I wasn’t deep into it tbh
Not bc I didn’t like it but bc
My parents didn’t put it on TV a lot
Isn't it massive
It def is
Awww it made me so weird in the best way, I related so much to gumball because his humor is 4d because he knows that he's in a cartoon imo
Like didn't a new season come out on hulu
i see
I thought the show ended
It’d def piss most people off if they announced another season
I heard a new season came out after almost 7 years although I could be mistaken and just hallucinated watching a video saying it
My mental state was not good for the past week so I could've just made it up
Girly’s saying it’d piss her off yet she didn’t see the final season..
Because like once it's over it should stay over yk? >.<
Btw sry for not responding to this, not trying to ignore. Me is not a geometry person 😅
So I don’t know how to explain
Thats okkk!! And I figured it out!!
If I didn't imagine it the person said it had better writing than previous seasons, and it would've been 20 episodes
I figured out intuitively, but I bet like euclid himself or something has like 5000 proofs for it
True but you never know if the endings bad or not till you watch it
i remembered my khan academy lessons what they said
Not going to spoil so this might be your encouragement to watch
True
Hehe
Oooo i can't wait to watch it again
I wasn't into the ice cream girl
she was annoying
stalking the main characters and stuff, that was so annoying to me
She was really creepy
Wait who is the ice cream girl
I forgot her name
Can you describe the hair color
OHH you’re talking about gumball
Yea
I thought you were talking about GF
Oh yea you haven't watched it much.
😂
No I really loved the ending for GF!
m'discussy2
So would it piss you off if there was another season
Hello guys (and girls), what are we chatting about right now?
If so, that’s valid 😭 😭
Hmm
Stuffs
I think so because like it's already ended so what's the point in bringing it back
GM
Maybe a spinoff then?
They def not going to release another season anyway
Y’know what I want another movie of tho
Yea and if they did then it probably won't be the same
Yea?
Ratailloue .
Omg I can't believe this movie came out in 2007, it's so good
IKR
Have you heard of those movie theaters where they serve you the food in the movie
I want that for Ratatouille so bad
No that's so cool!
Yea!
IKR
lol that's my childhood cartoon
Yessssss
Hello
Sounds expensive fr
@wise bloom when are you charging your pfp?
never
:>
i am 21
maybe when i get married lmao
i do dc for fun so maybe i will just leave after some years and never comeback
moreover i am a chem e major
pursuing chem e
when i would get a job most probably leave this cause chem e work is intensive and we have to work our assess out in chemical plants or chemical industry
rush e
the HELL is that discord tag 😭
its just a pfp i gave you a long time ago, but im no longer comfortable with you using it. it represents me, and since you havent changed it, its causing confusion and comments from other people. im asking you to please stop using it and do your own thing by changing your pfp. its a simple request.
im only saying this because im not using
emoji anymore, and ive been getting dms where people think im referring to you, which just makes things worse. i would appreciate it if you did change it.
man i have no problem changing this but has it become so dreadful or considerable of a problem just confirming
and if you want me to actually change it so much so you can also give good pfps yourself that you are comfortable with me using them it would be good too
oppailol remains a legend
wrong channel
i do not care much about pfp just was curious it was out of the blue he asked
but nevermind
thats look good and I appreciate your change 🙂
No problem you yourself gave me that pfp




Geometry on Khan Academy is so much fun!
Is so much fun geometry on Khan Academy though? Are these two properties in this sentence reflexive?
Who’s holding you at gunpoint?
Nobody, why do you dislike geometry?
-# jk i don’t actually use it
Khan Academy or geometry?
Ah, it's soooo good trust me!
Nicee same
I'm not sure what you exactly mean but here it'd be symmetric not reflexive 
I only remember watching videos and earning awards from my teacher.
Symbol soup. It really confuses me.
as in if (a,b) then also (b,a) is symmetric
Because it's like saying "Khan Academy => So much fun", but is "So much fun => Khan Academy"? I'm just using random symbols here btw to try to explain my thought better.
Ah that's totally fair and valid! It's not to me though because every letter, every symbol, has a purpose and it's all part of constructions to make statements that are really beautiful to me, such as saying that two different shapes must logically be the same as each other.
I understand how some people like it.
It just confuses me a lot.
But I guess some people aren't that interested in triangles and whatnot, not to put you as part of that group because I don't know if you dislike triangles but like yea a lot of people don't really enjoy geometry they think it's boring or something
That's ok!
do you want some fun but sort of easy geo problems
I love discrete calculus.
let there be two circles C1 C2 with C2 being completely contained in C1 (they are not touching), let there be a variable circle K which touches both C1 and C2, what's curve that the centre of this variable circle traces out?
and another one
Let there be a circle C, and it's longest chord D, perpendiculars are dropped from all points on C to D in a fixed ratio, what curve do you get when you combine all points which internally divide the perpendiculars in that fixed ratio
they use it to represent a relation, just something they defined arbitrarily, they could have also taken any other symbol in its place
Oh ok, what does it mean for me though? Will I ever use it?
The star symbol?
No, I don't think so
Ok ty
this is just to aid the explanation
For the 2nd one, is it just a circle with less area?
No, the perpendiculars at the ends of the diameter wouldn't allow that
is it ?
Then would it be a shape that relies on the number of vertices AKA the fixed ratio between each line?
Yes!!
Like a star for example or a hexagon?
I think I should rephrase I realise I sort of botched it up
There's a circle C, with a diameter D, perpendiculars are dropped from C to D
As in let the perpendicular say L vary across the the circumference and that perpendicular is internally divided by a point in a fixed ratio
It's just notation for a relation, another common notation you'll see is R (as in x R y means x is related to y, another is x ~ y, but this generally indicates homotopy or similarity or something stronger)
I also love box filters.
the question asks what's the curve traced out by that fixed point
Like this?
Ty!
ah except the segment bound by the circle and the diameter are to be divided internally by a point
in some arbitrary fixed ratio
What does that mean?
like if you have a segment AB, to divide it into fixed ratio of 1:2 you would define C such that
AC:CB is 1:2
What are those?
In practice would this mean we have 2 perpendicular bisectors that divide line segment AB into 2 equidistant lines?
a cool kernel for doing Integral transforms I'm pretty sure.
Like this?
Ooo
Ah I don't understand this part
As in let the perpendicular say L vary across the the circumference and that perpendicular is internally divided by a point in a fixed ratio
Yeah, I was looking through the rendering book I have and they came up.
Also, I forget a lot of math I know is used in rendering a lot.
And finite stuff in general.
No, a midpoint divides exactly in the middle
Linear Algebra?
Yeah
Uhh, like discete calculus and math in general.
Like this?
Also, a lot of the weird stuff I do stems from computer graphics.
Oooo
yeah, in this case it's 1:2
I see
Is this image 1:2 though?
considering those lines divide it equally
yes as long as Aa:aB is 1:2
The distance between a and B is twice the distance between A and a
correct
since we're interested in the shape of the curve and not its specifics, you can assume any random ration of m:n throughout the whole problem
Interesting, this is hard to visualize for me though because I don't know what to imagine to even put it on pencil and paper.
Does it have to be consistent for every line segment?
yes
yep
yeah
Can I see?
you can try yourself but the easiest route is coordinate geometry imo
Interesting
What's coordinate geometry?
Is it just algebra?
i can come up with coord geo proof if you want
If you don't mind!
it combines algebra you'd do with graphs and geometry, it's also called analytical geometry
Hmm, I'm not sure actually but I think they would've got to it by the focus property, that if you fix a untaut string between two points and then trace a curve such that the strings are taut, it forms an ellipse
Assume a circle situated at the origin with radius a, a point on the circle can be parametrically given as (acost,asint)
Let this be point P, now from P drop a perpendicular to the diameter with it's foot K given as (acost,0), let it be divided into a fixed ratio 1:m
Now this point of internal division can be given by ((acost+macost)/m+1, asint/m+1)=(x,y)
(acost,asint/m+1)=(x,y)
x=acost
y=asint/m+1
x^2=(acost)^2=a^2 (1-sin^2t) = a^2 - a^2sin^2t
(m+1)^2 y^2 = a^2 sin^2t
x^2=a^2-(m+1)^2y^2
x^2+(m+1)^2y^2=a^2
(x^2)/(a^2)+y^2/(a/m+1)^2=1
let (a/m+1)^2 = b^2
x^2/a^2 + y^2/b^2 = 1
which is the standard equation of ellipse
sorry it's a little messy :p
Ah like this?
I was just reading about this, like to find more about an ellipse
hmm yes
That's so cool!!!!!!!
you should really learn coord geo, it's fun
Yessss!!!
if you're looking to get into math olympiads usually geometry has decent weightage, albeit it can be more axiomatic but sometimes you can really shave off time by bruteforcing it via coord geo or complex bashing
I see
Tysm
Do you know if complex analysis studies ellipses a lot?
I want to learn complex analysis someday.
me too fr
No, it's my last year and I forgot to apply 
I don't think it's my thing, though I'd probably love to solve some of the interesting questions inside of it if I find any (I haven't seen much).
XD that's ok
I might get into the chem olys
the questions definitely are interesting
This is really cool!
Yeah
Have fun
yep, i love conics
Same! I can't wait to study hyperbolas!
you'll get to apply all of this once you do a CM course and get to kepler's laws fr
Hehe
see also 
@junior turtle
vro is reviewing CA
I am doing CA rn too
what a coincidence
Your math level is dogshit. You think you are so smart for doing Algebra 2, but the truth is you don’t even do topology, number theory, or differential geometry, which is honestly embarrassing. If someone handed you a tensor, you would probably stare at it like it is an alien artifact and ask where the eraser is. You wouldn’t know a Riemann surface if it slapped you in the face, and algebraic geometry? You probably think a sheaf is just some trendy new cereal. Einstein needs a billion stars to get you to tackle kindergarten math theories, and your professors want you to drop the class before you even enter. You strut around like you have conquered advanced math, but let us be real; you are still struggling to grasp basic calculus, and it is astonishing that you have not “solved” Fermat’s Last Theorem by trying to divide by zero as if that would somehow make you a genius.
Actually where did you get this copypasta @timid bronze
This is beautiful
what did you tell your mom?
I'm the girl mom
Where is this saved ..
I just looked up copypasta
Anyways ChatGPT ☠️ I just gave it such a prompt
This is like this meme I made the other day
top left gang theory reference??
when terence tao was just age two, he walked into a college campus and saw a student struggling with their homework. he asked the student what's wrong, "i can't figure out what method to use for this differential equation" he said. he walked the student through each step of the problem, demonstrating exceptional problem solving and teamwork capabilities. the student says at the end "thank you, if it were not for you, i might have failed this course". that man later grew up to be albert einstein. #genius #inspirational #opentowork
sotrue
🥹
Have you watched Wicked also
I’ve only seen the first movie
I need to watch the second one so bad plus my friend is holding me at a gunpoint to watch it
But I keep procrastinating..
WHY IS THE BIGGEST ONE ME WTF
🥀
HOW DARE YOU CALL ME OUT SO HARD
Nu but lots of my friends have!
Hehe I hope you enjoy it!!
Because it’s the shortest one
If the boot fits that’s what they say
Grrrr
3meow + 1 = cute
Which ones
Title, arguably the jargon, and CC 🥀
I do tend to use some words I don't quite grasp the full definition of
does the title count 
tsk tsk
Shouldn't have used LGBT terms 🥀
🥹
Oh how innocent I was when I tried explaining what bi was 🥀
I do not solve math problems. I identify their universal properties and let the answer exist by necessity. While you compute element wise, I reason functorially, where proofs commute on sight and errors vanish up to natural isomorphism. If it does not generalize to an arbitrary category and survive adjunctions, it is just arithmetic. You calculate. I categorify.
Imagine if I was like that I'd be blocked by atleast ten times more people
I tell them to do my math homework for me
Not solve a single question
/j
My multivariable class actually had no homework
No homework lowk pisses me off
Who the helpers or the cranks
Cranks
I don’t remember ever opening up a help channel
I just ask friends in DMs 😭
Phew
Sheldon ahh
define unicorn as a horse with a horn that exists. by definition, a unicorn exists
There's no way it's deadass 2026 in a few days
Years and months always pass by fast to me but weeks feel like an eternity 😭
I think I agree with you. I’m not claiming the truth is always in the middle, just that compromise can be useful
Everything passes by too quickly
My confusion is between compromising on an action or a belief. Compromising on action can be reasonable, compromising on belief just usually isn’t and can lead to tension
every year feels like 3 separate periods. 4 months from the previous semester, 4 months for summer, and 4 months for the new semester.
Yeah basically
I subdivide those tho
like January-February then March-may then June-August then September then October-December
Aprox
I only subdivide June-August from the rest ngl 😂
does it ever hit you that you've only lived one quarter of your life and it's all been spent studying and grinding 🤔
Math is so much fun!
I wish we did more geometry in school. we only do it in middle school and forget it even exists in high school
Hey
Yuh
What's up?
ah okay I'm just slow then
I saw this $150 dollar hair clip on TT
Why is it so expensive?
Did Elon Musk shit on it ? 💔 🥀
Hello second discussiers
hii
Omg hi Jen you ran here too
yeah the nixos mention is what took the cake for me
What’s wrong with Nixos?
guh
What…
/genq
It's sane if done properly though
As opposed to e.g. Arch
Fedora (Silverblue) is another good option
Weren’t you just discussying it in #discussion
Bringing it up i mean
where is discussion-3 when i need it
transland

Idk what that is but discussion 1 should be renamed to ragebaiting-utopia
I actually don’t know what to talk about when there aren’t 10 other more sociable people driving the discussy so uh I’ll have to go back
why not?

Ehat do you guys think about mlp
i have been told i should watch it but i havent 
You shoulld
Although I’m a hypocrite ig I haven’t watched that much due to my short attention span
Literally this
I'm not a huge movie or show watcher cuz I have a short ass attention span
😭
I can watch movies but I don’t usually finish shows
Or books
Like the longest book I fully read was only 100 pages yet the furthest I’ve gotten in any book is 300
im not big on movies or shows either but i dont think it’s due to my attention span
rather that i just prefer doing other things… plus that i feel movies often leave me rather too shaken to the point that they do me more harm than good 
Do yk why shows are a bit different
Ooh 😭 I can never get myself to read
My ADHD will not let me
Maybe you need to watch like happier movies…
I need to be on meds for me to read lmfao
Even with happier movies like Maya said?
My parents refuse to get me to get it diagnosed at least
I'm sorry, it sucks to have unsupportive parents like this :/ the same happened to me so I just got tested in college
Maybe you could do that
I’m in hs so
maybe…
The devs of NixOS are military industrial complex shills and have gotten NixOS used in american missiles
The developers of Guix are related to GNU and we all know how shit Richard Stallman is, even though his wish to make FOSS more common is amazing
Fedora Silverblue: Well it's fucking fedora, the most corporate Linux in existence
i cant think of a single happy movie rn😭😭
Yeah I remember that, it's going to be a wait sadly. Though you get a lot more freedom in college
You never watched a happy movie?!?!?
What 
Me too actually…
The last one i watched was I saw the tv glow and it is not happy by any fucking means
idk probably… actually yeah i did the other day !!
one sec
Also NixOS is just basically a cult (in the layman's terms not the literal ones) at this point
It's just a massive echo chamber where on top of that you have to read awfully written nix source code to understand anything because nothing is fucking documented
i love this movie so much 😭😭😭😭😭 https://en.wikipedia.org/wiki/Three_Wishes_for_Cinderella_(1973_film)
Three Wishes for Cinderella (Czech: Tři oříšky pro Popelku; German: Drei Haselnüsse für Aschenbrödel, also called in English Three Hazelnuts for Cinderella or Three Gifts for Cinderella) is a 1973 Czechoslovak-East German film based on the fairy-tale Cinderella.
It was directed by Václav Vorlíček in a co-production between DEFA-Studio ...
Like one of my friends uses nix and they spent the time to set it up, good for them, it's absolutely not for me
Ah it’s a European Christmas film
yepppp
is nix still all bash script 
Also some of the devs are just really really shitty people
No it's mostly nix script
which isn't even documented
Ohh I never watched but it sounds cool :3
A lot of devs I know about nowadays are horrible people
When will I ever hear about a good dev? 💔
You don't
Most devs are genuinely pieces of shit
even people who say they're good
I include myself when I say that
You’re not a bad person
Maya if you knew the sorts of shit I did when I was younger you would not be saying that
Anyway
the point is
Do you regret them
A lot, because if I was older at the time I'd be in jail for it probably
I meant regret because they are bad
As in that sense
Oh yeah absolutely, they were horrble things I did, I'm not going to list specifics in a public discord server obviously
but yeah it was BAD
But if you’re trying to become a better person and learn from your mistakes then that’s what matters
but as far as shit programmer: I rarely care about the memory usage of my software, I don't care about how well my stuff runs, I take shortcuts all the time in my code, my code is poorly documented, I don't have enough projects, etc...
Also
we are uh
just coming out of a massive spiral and dissociation episode
maybe I'm triggering myself by yapping
A bad person doesn’t regret their bad actions. If you truly regret them and won’t do them again you’re absolutely not bad
Oh, sorry-
Not your fault
I shouldn't have opened by beak
(yes I'm also a bird, specifically an american crow, james is a red tailed hawk)
lol
me, I'm not a good dev
wait you wanted a good one
I’ll remember that!
I mean a dev who isn't a racist, homophobic, sexist, or some shit.. 🥀
sleep well !!
Gn sleep well
and if I don't go by 00:10, my body will not let me sleep, we have a very speciifc window between 00:00 and 00:10 that we will go to bed
so
I am out
Goognight!!
Oh I remembered
Mlp Equestria Girls
It’s actually really cool because there’s a cannon yuri couple…
oh maybe I'm good 🌟
what counts as dev
i like these guys: https://100r.co/site/about.html
but i guess idk if they’re good people 
The real math pros are the friends we made along the way
Yeah this is unfortunately an issue
Anyone who creates/designs digital pieces ig

Do you even like almond milk
I hate almond milk
I hate milk in general ngl
But don’t mind milk in drinks like coffee/hot chocolate
I just can’t stand milk by itself
yes its neutral and cool to drink
and it doesn't make my tummy hurt
as a job?
Bleh..
Idc if it’s in a drink but
By itself… No thx you
usually goes into protein shake
it's important to get brotein
Def a job
In my experience people who are a developer as a hobby are rarely weirdos
Devs that do it as a job obv aren’t aren’t weird but it’s so many of them … 📈📈
why can't I turn my hobby into a large celery
yeah figured
Bc I also hate celery
Celery is so gross
One time my mom made celery juice and I gagged
Also many of them are sexist af
celery juice is nasty
it's kinda disgusting
but celery good
Nah I hate celery by itself too
I don’t get the hate for tomatoes or onions
I will die on a hill for both of them
I just didn’t wanna say it earlier but most of the bad devs I met are pedos 😭
Saying that with proof
Same with people who befriend those type of fuckers .
I also refuse to befriend somebody who is friends with a terrible ahh person
I say then think
WTF?????
I’m no longer going to make statuses if people can enable notifications for this shit
😭 🙏🏽
WTH is this
why make them in the first place
To express your emotions they say
Bc they’re fun 🙏🏽
Exactly
I’ve done it based on goofy ahh lyrical music
no not really

