#serious-discussion
1 messages · Page 234 of 1
everyone loses stuff in the fridge once u reach critical mass bro
that's when you get spoiled stuff in the back of the fridge 
higher i feel like ur very critical to urself
idk I've been scolded a lot for my scatterbrained-ness
Have you heard of the mom magic spell? You ask your mom where is something then you go to that place and see if it's there but you don't find it. Then you mom comes in and finds it. Happens every single time
a lot of what ur describing is everyday things
oh there was an instance where I couldn't figure out how to fold a chair either 
Yeah be mindful of all the red flags, and also get the logistical questions handled asap. Vision for the future, expectations, etc
and me too
I get scolded a lot for this stuff though 
Deltoid you are not invited to the chat.
i get that u can be in a harsher environment
so I guess I've come to believe that it's just incompetency
the government is suppressing our mental health by making trivial things annoying fr
who designed those spam cans 
me
but higher please trust ur not incompetent
whay
I uh, get yelled at first 
I mean yeah I do as well
by who? if you dont mind me asking
A lot of parents yell at kids for things which they do themselves without second thought
because my mom yells at me all the time for things like this
I'll have to block you for a month. Nothing to personal
fr
and when parents do smth similar
its a-okay
😭
some parents r just so hardheaded
Parent breaks a plate?
gotta sweep and then get a different plate
Kid drops a plate? 😡
🤬
OMG No daMI
YK THE WIRST type of red flags
when u talk ab an issue happening in an area and theyre like
“Not my issue.”
Simply don't buy the spam cans. Problem solved 
like ok insensitive ass
looking back on some stuff like this embarrasses me 
but at least I know how to fold that chair now
Oh yeah making a point of your apathy of something just feels so... Eugh
Higher I forgot are you the youngest or oldest?
this would require me to live without spam. which i admittedly do, but i am not happy about it
i was the only one who misunderstood the rules
like twice until i finally got it
ur ok
well, my situation is a little unique 
Everyone has their fair share of stuff like this. If you ask someone and they can't tell you it's because this stuff is so minor that they forgot
I'm an identical twin
Middle?
Oh you're a twin?
Wtf
Same
if we ever meet can i meet ur twin too

Meet them simultaneously and see if you can guess which one is higher
idk if i'll be free
I vowed a few months ago that if anybody here found and identified my twin, I'd delete my account 
holy shit
im gonna
Crash out
ur ass is PISsING me off
what did i do?
I have a twin and yet I do most of the manly work. I had to learn how to fix furnaces, clogged stuff, drilling shit and of course the fucking printer because YOU SHOULD know it apparently if you're the oldest 
dude i dont remember the context but someone sounded vaguely like higher and i joked "i found higher's twin"
higher immediately was like, "DM me"
well yeah
and i was like wait no i was joking plz dont delete ur account
I was getting ready to delete my account right then and there
Most beautiful screenshot
i mean, the answer to the question is yes sooooo
you see the trick is having siblings that are so actively disinterested in math that they would never get anywhere near mathcord
whut
good ur gone now
my twin is already on the server
u missed what she deleted
and has messages here

can he say hi to me
the real problem is if they meet any of you
I might know your twin
@lower
Deltoid if you get it right I will ban you irl
Okay I'll do it
I hope you know this
never a bad idea to go to sleep on time
But this convos interesting
More reasons to do it
Deltoid did not DM me anything 
I probably have the wrong username
dami
tell them they're not allowed to have the same interests as you
Worried what would happen if Deltoid met me irl it would be the fucking Langlands yap Olympics
that's illegal
Can we get back on topic pls.
y u have to go back at 10am on memorial day
Oh bc im doing things w them not work related tjo
okie dokie, it was nice knowing you all 
Omg that would be so fucking peak
Yee sounds good
time to delete my account
what
No way
I hope I didn't scare you guys too much 
i mean i take u very seriously
I got it wrong right
it was not the right username
ur evil
AHHH omg
I was pretty sure you were joking but
There was that 2% chance
I apologize 
and to Dami and suremark too
No its ok
awwww thanx higher
ally will receive my forgiveness on another day
LOOOOL
I admit I was nervous seeing the DM though
I don't think it's a smart move to make ur twin very active
the way to go is like
I hope they are not VA
yea sometimes i get tempted to joke that someone is higher's twin
and then i think about it
and i'm like. yea maybe not
dastardly
but that's not their discord username 
I've seen my irl name in the help channels a few times 
im tired of people disappearing from discord 
it always gives me a heart attack when I do
higher's twin name is cohigher
salagoat where did u go
your twin is on discord higher?
Salagos 
on mathcord, no less
The fucking panda bro
ur irl name is rly nice i like it
gives u tbh
No one in mathcord knows my irl name
I think it's kind of a boring name
Except dami only knows what it starts with
but I appreciate it
oh if theyre even somewhat active then i think i know LMAO
The chinese one is 🔥 tho
esca.....
you're telling me the name on your birth certificate isn't actually firstname higher lastname !
If I knew them for certain I'm not telling higher
it's A Higher Desire, actually
im not telling anyone dw
you people scare me 
Higher what if im secretly besties with ur twin
if that were the case, I suppose nothing would happen if I didn't know 
okay fineee since youre so curious its @coarse bridge
what if u did know
b r u h
dont insult higher’s family name
llease stop being prejudice
fr
well, then we'd see what would happen, wouldn't we? 
I feel like deltoid most likely knows but he refuses to say

what r u talking about
Oh wtf deltoid blocked me
yeah i gotta go to the barber tomorrow

LMAO
LOL
alright chat
affine hyperplane...
it's time to talk about stochastic analysis
ok bye
dude idk why they call it this
i'm not "gambling away my life savings at the casino" i'm "performing experimental stochastic analysis"
oh well now i feel pressure to explain it in a way that's actually interesting. crap
ummmmm
If only nG was here. I would like to do another langlands clashing
Dude.
Do it lmao
U dont have to feel pressured
my friends sends me their codes all the time
and takks ab cs
i dont get like 95% of things but
i always support and respect
Talk about martingales and you already sold me
ok well here's a fun fact
just tell me how to make money off the house
there's this guy named doob
LMAOOOOO
Ok bye ur explaining like chatgpt would
if you learn about something called martingales in probability theory. doob's name is basically on everything
doob's martingale inequalities, doob's maximal inequality, doob's martingale convergence theorems, doob decomposition
bro wrote the book fr
now he just needs to collaborate with a guy named scoob
SCOOBIE DOOBIE
okay surrmark can you give an example of a model of a martingale
ah, well, consider a sequence like
let's say X_0, X_1, etc. are random numbers, either 1 or -1
a coin flip determines if it's positive or negative
and let's say S_n = X_0 + X_1 + ... + X_n
so basically at each time step it goes up or down 1 randomly
S_n is a martingale (it's also called the simple symmetric random walk)
what is a martingale? well more or less something that neither increases or decreases on average
anyway here's a fun fact
Why do u sum
X being a martingale is kinda trivial
well X_n by itself is not a very interesting martingale i guess yeah
actually it's not a martingale so
oh really
yeah so in probability theory terms you want E[X_{n+1} | X_1, ..., X_n] = X_n
but X_{n+1} is independent of X_1, ..., X_n
so conditional expectation is just the expected value of X_{n+1} which is 0
Okay
the key point is basically, if S_n is a martingale, when we say "doesn't increase or decrease on average" we mean given what's happened already
so like. if X_n is -1, well X_{n+1} can't be less than that
so obviously it's either going to not move or it goes up to 1
which is like. not exactly neither increasing or decreasing on average
ok so
fun fact, let Y_n be any random process, i.e. a series of random numbers blah blah blah you guys know probability theory
then $M_n := Y_0 + \sum_{k=1}^n Y_k - \mathbb{E}[Y_k,|,Y_1, \ldots, Y_{k-1}]$ is a martingale
Ok so the conditional expectation of the next value,given the previous outcomes is equal to the present value?
suremark ꙮ
yes exactly
okay
this basically takes each Y_n and extracts a random variable with mean zero, which becomes the difference at each successive time step
i suppose martingales naturally lend themselves to recursive structures
tbh im not sure myself, but they have many nice properties
like, you might imagine that this whole thing where it never increases or decreases on average means the paths are kind of regular
like all possible trajectories of a symmetric random walk looks like a tree
well, martingales can be nonstationary/inhomogeneous/whatever you call it
i was actually going to talk about the continuous time generalization of the thing above, but instead maybe we should talk about why martingales are nice
Yeah
so basically, you have this thing called the upcrossings inequality
I wanna see some properties
Sorry matt i feel like a betrayer but lowkey i should sleep now bc im waking up at 8 but ill give this a read later :> (will Not understand anything but will respect)
gn
Didn't know suremark was fine with people calling him matt
tbh i just assumed u went to sleep 
You too 🤰 🦊 and esca
can i call u mattress

just do not call me bbg plz
ok anyway
tell that to sharp instead
the upcrossing inequality
i wasn't... talking to u...
apparently Snell's upcrossing inequality, idk who snell is but he came up with it ig

snell from physics?
Chipotle participate in the stohastic anskysis convo
o i have no idea
Instead of ragebaiting
LMAO i might backread ts
like
the number of upcrossings of the interval (a, b) by a sequence of numbers x1, ..., xn is the number of times xn goes below a and then above b after that
read up on the convo
Yeah anyway

here's a fun fact about upcrossings: xn converges if and only if the number of upcrossings is finite for every (a, b)
oh i think i actually defined downcrossings
upcrossings is when you go above b and then below a after that
i think?
idk
I read that and in my mind I was like why tf u go down then up
alright well here's the kicker
this makes sense yeah
well
bounded domain?
no i think it's for any sequence of real numbers
surely x_n = n has zero upcrossings but diverges unless im misunderstanding
ah

measure theory moment
lmao
anyway
checks out
let $U_n(\alpha, \beta; x_n)$ be the number of upcrossings of $(\alpha, \beta)$ up to time $n$
suremark ꙮ
fastest edit in the west
if $X_n$ is a martingale, then the upcrossing inequality says that
$$\mathbb{E}U_n(\alpha, \beta; X_n) \leq\frac{\mathbb{E}[X_n^+]+|\alpha|}{\beta-\alpha}$$
suremark ꙮ
X_n^+ just means max(X_n, 0)
basically the positive part
anyway, one corollary of this is that if $\mathbb{E}[X_n^+]$ is bounded above by some constant for all $n$, then the number of upcrossings over all time is finite
suremark ꙮ
(with probability 1)
since if there were a positive probability that U_n were infinite, the expected value would also be infinite
this also makes sense
sure
and this means that if X_n is a martingale which is bounded above like this, then X_n converges to some random variable X_\infty with probability 1
Okay
yeah this is quite intuitive but in a way i cant really put into words
i haven't told you guys anything about what happens in continuous time yet 
im rather monkeyed out tonight
Nobody gives a shit about discrete probability 
that was cool though thanks for the crash course
well here's one fun fact about what happens in continuous time
before u go to sleep
hmm
a continuous time martingale basically is like, well E[X_t | F_s] = X_s, F_s contains all the events pertaining to X_t before time s
same equation, just the index is continuous now
in continuous time, you might have weird random processes that are not continuous, or even nowhere continuous
however in continuous time, all martingales are right-continuous (up to some annoying measure theory shenanigans), have left limits everywhere (i.e. the discontinuities are all jumps), and bounded on compact sets with probability 1
so basically martingales have pretty regular paths
Cool
not quite continuous but right-continuous is as good as you can hope for sometimes
and the canonical example of a continuous martingale is brownian motion
neat
I can hear the happy physicists noises
yeah brownian motion is pretty important apparently. i am about to find out why in chapter 2 of karatzas and shreve 
exciting stuff fr
Probability is kinda like LA. Like sure there are some cool results and all but they shine the most when you use them elsewhere
anyway to me this sort of fits under the same umbrella as the upcrossing inequality and martingale convergence, martingales bounded in L^1 basically don't go up and down too much so they end up converging
so they're pretty nice in a messy world of arbitrarily badly behaved random processes i guess
or that's the narrative my brain cooked up
Okay that makes sense
that sounds reasonable to my dumbass
Same lmao
alright gn yall this was fun
gn esca!
@coarse bridge dude.. ur still awake AGAIN?
LOL
also had a read and very complicated info to grasp but u seem to rly understand the material so dats cool :3
didnt u just fixbur sleep
eh
i mean
the plan is to maybe like
sleep at 4pm, wake up at 1am, then day after sleep at 8pm and wake up at 4am or smth
then i'm pretty close to normal
You mean elementary algebra?
Discrete probability can definitely have some stuff going on
Bernoulli trials on top
pgfs and such
haha thanks ally
if u take one thing away just remember the word martingale lol
and yeah absolutely
you have a good sleep schedule for a night shift
why is #serious-discussion dead

exactly...
👋
What book should I read if I want to be a self-taught quant?
@feral oasis welcome to the mathcord 
Hey y'all, I was hoping to get some input on using ChatGPT to help learn math and technical topics. I don't blindly trust ChatGPT, instead I basically ask it for hints, and I ignore the hints if I don't think they're helpful. Are there pitfalls with this approach I should avoid?
For example, I was recently reading about algorithms for counting triangles in a graph. I asked ChatGPT why a certain matrix product represents the numbers of paths from different nodes. Then I verified its response
Then I was able to figure the rest out myself
it just like doesnt know math at all but its good at making up things that sound valid so if you are able to verify it, great, but a big part of learning math is getting better and better at verifying or rigorizing questionable mathematical claims
so its hard to say
most mathematicians dont like it at all and will advise you to never touch it for understanding anything math
Yeah, I always verify everything ChatGPT tells me
If I can't verify it, I just ignore it
yeah it’s good at giving wordy explanations lacking sufficient formal detail in my experience, that turn out to be straight up wrong. i’ve asked it for hints a few times but i find it difficult to trust after having it be wrong enough times
tbh i’ll still probably try it when i’m desperate lol
I've found that simply saying "be concise" cuts down on the wordiness a lot
My feeling is that everyone around me is using it, and if I don't, I won't be able to realistically compete with them
well i can’t say i have an accurate assessment of how mathematicians use ai, since i’m not a mathematician nor in school studying mathematics, but based on my experience in this server i certainly get the impression most people here do not lean much on ai for doing mathematics
or maybe they do and are hiding it 
i mean i have seen several people say it’s good for finding references and asking broader questions, not super technical work
For math I can definitely imagine that being true. But I imagine that in anything applied people use it a lot. I'm reading the previously mentioned book to get a cryptography job, and I'd imagine all the other applicants are using it
Maybe I'm just being nervous for nothing lol
In related news, I'd love to know of any eco friendly alternatives to chatGPT
I don't want to add a 20 mile drive worth of c02 pollution because I'm debugging why my code using "Sum" instead of "Sums" isn't working 😭
Linter and a rubber duck
Thank you for your thoughtful response!
no problem
good luck in your cryptography endeavors
Will try even tho ill ne er get what it is.
has dami ever told you about random walks?
What
random walks, it's a thing in math
darn
No he didnt
random walks are kind of the starting point for the stuff i was talking about
random walks are what I do when I go outside
Does it mean we get to g o on a walk
you can imagine a person on the number line, starting at 0, and at each second they move by a fixed distance, either to the left or right
Random walks mentioned
smth u dk ucu uz u dont touch gras
Ohh
I randomly walk on the grass smh
Yeee this is what I do
You start at 0, flip a coin, and choose whether to go left or right. So 50/50 chance you end up at 1 or at -1
Then you do it again. So now there's a 50% chance you are at 0 (heads then tails, or tails then heads)
25% chance you are at 2 (heads and heads)
25% chance you are at -2 (tails and tails)
And you keep going
You can also do it on a grid. Or on a computer network! You're at a computer, which is connected to some other computers, you pick randomly which one you jump to
My work involves doing this stuff on computer networks. Which we call graphs
i see you're already dressing your work in industry friendly language
red blue pebbling
You start at A and jump randomly with 33% chance to one of B, E, F. End up at F for example. Now you again choose randomly, 33% chance, whether you go from F to either H, I, or A
And keep going
In only 2 steps then there's a better chance you're at A than anywhere else. If you do this for 100 billion steps you might expect that the chance is basically 10% of being anywhere
How quickly you go from "I know exactly where I am" to "I could be anywhere" tells you about how good the network is
I gotta fr
mfw random walks on lattices
Yee
Math gives random names to things..
Random walks.
Altho he can be a rat he does have a genius brain
chrew
I am a rat 
!rats
no










ur an angel
Would anyone be down to help me with a guess the gumballs in a jar game my school is doing? I’m buying 10 guesses to put in tomorrow and a picture is provided of the gumballs. If I guess it exactly I win the jar
one time i guessed the exact number for a jar of halloween candy
Oh you have no idea
no way
yea i went home with a massive amount of candy on halloween 
ngl i hate candy
Thanks but also WhAAaat I thought I was a sloth
my brother turned me onto sour patch kids
thise r so gross.
i dunno how they came up with the brand but
yummy sour candy children
a lot of candy is pretty bad tho
omg yk the woest ones
dots are horrible
laffy taffy is not good
oh right you hate caramel
crazy
caramel in coffee sounds good
what r those things called
smarties
thise were
nasty aaf
gross
amukh probably likes it
i also just hated like all lollipops
rip
he likes all candies
my favorite flavor was always butterscotch
☠️
EEEEEEEEewwe
yk what candy we shoukd buy amukh
hmmm
it has to be something absurdly sweet
o god 
What the hell lol
hot cinnamon flavored candy is actually so good tho
i like spicy things
and i like candy
spicy candy?!?!
whoever made that work was a genius
There is a reason it's called candy. Why do you make it hot
maximalism

Ngl
unless its a dessert
I dont like my food being sweet
i prefer savory
why not both 
but idm sweet foods sometimes
it's like this rich, spicy and sweet chocolate sauce from mexican cuisine, i had enchiladas with it one time
it's not too sweet
Btw do u prefer
turkish doner, shawarma or gyro
chocolate..?
@heavy forum welcome to the mathcord 
Turkish doner....
i don't know if i've ever had turkish doner, idk what that is
So good
U need to trry its rly good
for me its
shawarma then doner then gyro
gyros so good dont get me wrong
but i think its a bit plain in comparison
yeah it sounds weird but it's really good. and it's not just like, pouring melted chocolate on your food
that would be awful and way too sweet
ill consider trying it but idk i rly dont like sweet on savory food too much also i feel likr thatd be a lot going on
enchiladas slready packed
it certainly does have a lot going on. apparently the sauce alone has like 20 ingredients lol
omg help my. feet r so cold
Damn
That's just not fun wtf
Oh mole sauce?
Doner is the common ancestor of gyro and of shawarma
ahh
I'm surprised someone knows this
Common Dami W
Frrrrrr
chrew
I try to tell this to my Arab friends but they don't listen

I'm hungry now that you guys mentioned food
Oh yeah I think there's occasionally a bit of... Tension, there
I'm so tired today to do any research but that's okay I did some progress
Yeah it's annoying
So it goes
I think this isn't too surprising
It's unfortunate but probably the whole Ottoman empire shtick is a factor. The Arab world felt colonized, Turkey felt betrayed
Yeah I mean that's fair
Do you think you can pass the torch for me 🙏
Go away.
Wait why that's just factual
omg wait did i tell u me and
2 guys were playing uno earlier and
i told them about the slap on 6 thing and
STOP IT WAS
SO HARd
PLAYINg WITH IT
uh oh did they turn it on 
No this was IRL
we just like
yeah but it's extra funny when 1 person misses the slap every single time
slapped our hands together
LOOOOL in person it's even funnier
IK
especiaally cuz people get competitive
IKR WAD DTING
and then even if you slap first every time your hand gets destroyed
bro i even brought my hands out for 9s
i went thru their hands for one of the slap ons
LMAO imagine some of the craziest rules from our Uno sessions irl
poor ally's hands probably got shattered
draw 100.....

theyre plsying more uno in my dorms basement i think but
Im too tired to socialize rn
my friends and i used to play some game called egyptian rat race, i dont remember how it works
but it involved a lot of slapping
Kinda wanna try
and bruised hands sometimes 
Valid
agter college i realize how more introverted i am
still think i have some extroversion but not a ton
meanwhile dami over here scoring like 100% on extroversion
talking is fun but sometimes i dont have much to say
LMAO
i like my own space sometimes!
gotta recharge fr
Yeah I remember when I did the MBTI some time ago
i learned to be more comfortable in silence w ppl in person
At least close ppl
i havent sone that in ages omg
i got ENFJ every time
now ik thats gonna change
😂
idk socializing gets so tiring as an adult bro
i used to test INFP when i was a kid, then i became INTP
recently i tested INFP but only by like 1%
Wtf
not bc im like unconfident or anything i am confident in myself but its just too much work sometimes and Idk a lot of fake ppl nowadays
Suremark sounds like INTJ for me
sounds like college amirite
once you graduate it's like a desert 
its funny bc most of my online friends r men (probably like 85%..) and aml of my irl friends r women (exactly 100%)
but yeah sometimes it's like, your friend or friends is like hey let's get dinner for the 4th night in a row and you're like ughhhh i just wanna be alone
lmao
iirc mathcord has a pretty stark gender ratio? though idk what other servers you're in
in a row is crazy.
but it's a common thing in online spaces
Oh i have friend a good amt of friends before coming to mathcord
mostly men
i see
I think for me, any hesitation toward socialization is on the initializing part. Like okay if I'm in rotting mode or don't feel like going outside sure
idk ive had plenty of online friendships but
i did cut off a ton of ppl or we both grew apart
bc not much connection in the end if that makes sense
But yeah I just love to be talking at almost all times. So if I'm not around in person friends I'm talking online
Yeah that can def happen
sometimes i talk to someone i just met for like 2 whole hours and then i need to shut the fuck and be alone for like a week lol
also had a ton of friends who quit discord but i didnt think we were close enough to change exchange
I'm definitely more social in college than in high school
im not gonna exchange contact unless i really want iur friendshio going beyond discord
i only have that planned with 2 ppl currently lol
also this matters if theyre also comfortable with it
same reason as before, i find you hardly ever say anything of substance
I'm not touching tech anymore
well uh
People don't have to explain themselves to you
If they'd rather block you that's their choice
I dont feel safe with some people in this server i guess i could say
I'm guessing "some" here includes me? Why?
: (
I dont appreciate a lot of the jokes made in this server. some of which i find extremely offensive
there’s only one person I’ve exchanged contact information with, but a good amount of others I’d be willing to if they wanted
Ur like the most trustworthy person ever
id love to keep in touch with you
i don't really think i've given much thought to who i'd like to keep in touch with
I'm probably fairly open to exchanging contact info? I guess for me I don't usually find it's a question of trust so much as my desire to talk to the person
oh, I had kind of assumed you wouldn’t want to 
I'll be in Toronto soon so we can meet up 
if you would like to, I definitely wouldn’t mind
Well okay if I didn't trust someone I wouldn't exchange contact info for sure
i never met someone from discord intentionally
only on accident
only dami and higher know how
😂
meeting someone from discord on accident is crazy lmfao
Happened to me a lot
ik i was freaking out about it in their dms
how would you even find out
LMAO I remember
"you keep making these stupid puns and you have a math degree. r u dami from discord"
real
nah if i see dami irl ima just start quoting the heinous shit hes said on this app
near him
to see if he realizes me
I think Dami would be cool to meet
I was in UofT last month
it’s true!
I think you’d be really fun to meet too!
Nooe.
I'll be done soon with Waterloo. Hate that place...
I’m kind of a boring personality in real life though 
What do you mean heinous???
Dami got a face reveal in a server so he could see me any time if he comes here
Almost as cool as higher fr
If I meet higher we are doing a boxing match
imagine arranging to meet with higher, and then pretending to be a stranger at first
Tru, you've seen a photo of me. Few years old and not quite how I look now but you might be able to clock it? But I think my voice is the stronger identifier
If I meet suremark I'd imagine him making the american psycho emotes in real life 
Oh
that pic i sent of me was
the exact day i took it
LMO
Nice. Impressive.
Yeah I figured LMAO
this is called bullying 
ok im sorry but. i had to get revenge for yesterday
Impressive?
yeah
ngl im badat telling ppl by their voice
very sigma
Ahh
Can i give u the biggest hug
When i see u
Pls
Yeah that's fair. It would be interesting to see if mine is distinctive enough to tell
Not if I give him an even bigger hug
No okay thank god
Ok bodyshaming me
that made me cackle lmfao
DO NOT
NOT THAT KIND OF BIGGER
for some reason i imagine dami as giant even though i think hes like. 1 inch taller than me
I only met like 7 people here IRL
of course!
True...
what do u imagine me as
Aura amplification
Ugh sorry [REDACTED] possessed me
tiny and adorable
I could technically meet rakko but I hate going to that damn uni
I'm doing stuff online
Omg ty fir not bodyshaming me like dami
i s ur dad tall
I just meant I'd be hugging him more enthusiastically and he point blank called you tiny
a little, he was nearly 6 ft but he's shrunk in his old age
How so?
He's actually pretty nice IRL lol
I mean yeah you don't have to reveal anything you don't want to or you think he'd rather not know ofc
But yeah it's interesting to see how people vary in person vs online
Ah that's nice
ok ykw i was just making excuses im sorry 
ngl facetiming is nothing lke calling
ppl always tell me im so expressive with my faces
😭
u ever talked to someone and the only face they make is 
That's me
LMAOOOOKKOOOOOOOOOOOOOOOOO
ok well. my reaction to this is 
STOPPhrd
LMFAOOO
Oh one time I was on a server VC with camera and someone commented that my facial expressions when I'm shocked are just sooooooo exaggerated
Oh thanks I was expecting something worse for some reason. I removed the block btw
i guess i have pretty expressive eyebrows
that's what my voice teacher told me lmao
Thanks. Two more to go
To the point that he'd deliberately say out of pocket things just to get a reaction out of me and see my face
I guess I just don't like blocking people in general
You may know this person as the terminal autoglazer
yk the ppl who t funny
the ones who can like
Like I'd either see them disappear or not talk with them at all
“Someone”
olay with their eyebrows
🤧
😐
someone w good eyebriw expressions can send me dying fr
Olay?
Hello Endomorphisms of Me
Ahhhhh
LMAO I was wondering why you just said someone at first
Chipotle
Hello shoulder muscle
Can I say something
Vero
Ur a bit annoying
r u one of those ppl that can raise one eyebrow individually but not the other
No not at all
im not good w my eyebrows

🇧🇷 or no?
does no not at all mean yes, i'm one of those people
Are there people who can’t do this?
I cant do it
Deltoid can raise one individual eyebrow like a mf it's funny
but
Are you full of Botox
i find ppl who can do it so funny
@velvet dagger that was a jumpscare bruh
Obsessed with them
LMFAO
also obsessed w ppl with a contagious laugh
Dami eyebrow reveal, dox that man
Yeah

LMAOO
I love raising one eyebrow

im starting to notice most people have smaller eyebrows than me
suremark how big u think ur eyebrows r compareeed to mine
insert Dami laugh
i dunno. i imagine they're normal sized
ts pmo bro stop ong fr ngl
some people also have thin eyebrows tho
Oh you know about it too?
I've only seen gym bros do it
Are yours much thicker than mine? Tbh I have no idea where mine are on the spectrum
they looked short and scrunched up in that image but i didn't see it for very long 
o yea ur eyebrows are pretty thin, tbh for some reason i imagined that was the case
LMAo
my face is on my github so
yeah these are thin eyebrows
your face on github is just 🗿
I once posted a selfie here drunk so I’m pretty sure at least someone has seen me
Potentially Eric
I posted myself a lot here
when I was drunk
smh when i go in public while scrolling through my photos then get anxiety cuz I take photos of myself with barely no clothes 
why do you scroll through your photos in public...
i definitely accidentally posted my full face when i shared my soundcloud one time
cuz my pfp was my face
and it just embedded it
It's a bad habit
one server has my photos of me and they even made an emote of me. I accidentally used it once here
I am one of those people
muahahaha. i feel so powerful
yeah
AHAHHAHAH
ppl w contagiohs laughs r more powerful
they can
make u laugh weven when
the thing isnt funny
😭
True
I already started laughing
tbh i dont actually know what tom cruise's laugh sounds like but i love this meme 
lmfaoo same
i secretly adore the idea of cracking a really bad joke and then laughing like this obnoxiously
theres like this vid mg friend seng me of
a girl laughing sm and literally her head falling into the trash
it sent me bro.
I've never heard any of you laugh
b r u h
I know Deltoid has a contagious laugh and two more people here I met IRL
so like. they laughed so hard they accidentally fell headfirst into a trash can?
YES
that is unfortunate
i was hoping the head detached 😦
lmao
Miku is cute
I try to be 🗿 as much as possible but still make people laugh smh
i need a guild tag
i saw a chemistry s erver one
id put it on but
The symbol is ugly
so i didnt
😭
The 🗿 face doesn't fit u deltoid lmao
anal

ur gonna seem corny asf
that's a good idea
not ally posting it then deleting it 
im gonna find a tag with this naming
i love canada t-shirt type shit
uhm. im afraid im not canadian enough to understand this
bc it sounds wrong
I have the canada t shirt btw
ok but
that it does!
i dontt get hiw
bought it specifically for that meme
hm
well you can be clever on the spot, or you can just be really out of pocket
or both
it’s talent
jokes aside ana would be sick
thise ppl r to be kept real
some algebrained person here is gonna be like. o so ur into anabelian geometry
TJAYS ME
ang
Most scary mathematicians are the ones that work with non-abelian geometry. Most of them are dead anyway so I guess I should worry less
wait that’s fire tho
your dad could do SCAM
die
sorry i had to 😭
sorry suremark for laughing
it’s ok
no i feel bad for his dad
dami and salagos did much worse
its not funny
i do feel bad too
nonabelian zombie apocalypse
thanks for feeling bad about it, dw it’s not a big deal though
with how much hes lost yes it is



