#serious-discussion
1 messages · Page 77 of 1
What was the quick way to determine whether a given number was divisible by 4?
Like the digits added up to divisible of 3, it was divisible by 3
The number formed by last 2 digits (tens, ones) should be divisible by 4
Got it
?
?????????
im gonna assume this was an honest mistake, but @proven knoll dont say stuff like this because a) this is weird in general and b) this is a mathematics discord
Alright
is it normal to have headache from too much math?
no
It's a Fermat's last theorem “there is not enough blank space for my proof” joke
(btw he never wrote it down and the proof was independently discovered 300 years after he died)
and he probably never even proved it
or had an invalid proof
cuz you can show that every 'elementary' proof of flt is immediately false
how?
flt is false in the p adics
so you could repeat every single step (since it's elementary) and conclude that it's also true in the p adics, which it's not
Oh I didn't read the backstory sorry
I just read "proof"
ok, Z_p or Q_p doesnt matter 
as soon as you use the fact that N is well ordered its not elementary anymore 
is there some p such that there is a solution for say n=4
hii i was wondering if someone here had pure maths in highschool? i just wanted to cat a little because im taking it next year but im a little nervous and unsure
pure maths in highschool? do you have some syllabus?
wdym? like what topic we will be covering throughout the year or...?
oh ok, well idk exactly what we are gonna do but my freind's sister said that some of the things they did was: numerical paterns, anelytical geometry, eucathetic geometry, algebra, trigonometry and more
sounds pretty standard, you'll be fine 👍
i dunno, general advice is to just do the homework and you'll be fine
ok thank you then
Absorb Textbooks Like a Sponge. Discover how to IMPROVE COMPREHENSION and GET BETTER GRADES, while REDUCING STUDY TIME. Reading a textbook is NOT like reading a novel. You will learn an EASY & PROVEN METHOD for getting the information from any textbook to go straight into your brain, without having to cram or underline a bunch of stuff. It ta...
Bullshit
i think its good but it also depends on other factors whether this'll work
I just actually watched the video and my opinion has changed it's actually || whale shit ||
Ye probably
How to absorb textbooks:
By not reading them
Wow thanks
The person in that video(or owns the channel) sells gum and advertises it as something that will increase your intelligence.
https://getneuro.com/
It sadly doesn't well as well for maths cause it's a bit more focused to memory based stuff. There's usually no direct questions that's require you to just know the definitions
thats depressing
Yeah... was thinking so too, on paper it sounded nice but when I tried it tdy it didn't rlly work out for me
So I asked around to see if it's a "me issue"

honestly tho just "memorising" strategy is kinda meaningless
its better to actually understand it
real secret to how to absorb textbooks: ||do the fucking exercises why aren't you doing the exercises they're there for a reason do them||
more enjoyable
It's basically describing comprehension/passage skills where you read the questions first and then check the theory for relevant stuff later

:sk

#help-30 message @neat lintel на будущее: у нас запрещено списывать на экзаменах, контрольных и т.п. так что зря вы упомянули, что у вас зачет
Honestly, don't even read the book
VMM why are you pending
idk? I clicked a button I think
owo
uwu
Elo hoomans
OOOOOOOOOH.
embed error
<@&268886789983436800> COME DISCUSSY IS IN SHAMBLES

anyone happen to have an AMS account and could share a pdf?
Che
Mogli zhe pomoch chelu
o bože moj, a možno kirillicej pisat, a ne vyrviglaznym translitom?
а вообще dura lex, sed lex
Я не списывал, это была проблема по долгу ДЗ. Нужно сдать все долги для зачёта.
da poxui
never let em know what you said

People cheated on the OBMEP 💀
what is OBMEP?
The Brazilian Mathematical Olympiad
Where more than 10 million students participate every year
That's a lot
Chmonkey
Based!
Are there any coding languages that basically are just math functions and logic functions?
All of them are that
I’ll check it out
julia is pretty nice
anyone have any idea what this PID is asking of me and what this all mean?
I have conducted a test of this process by putting the controller in manual mode and applying a step change to the output from the controller. The output signal went from 10% to 26%. In this process, I obtained the step response, which is shown in the attachment, measured as a percentage of full scale.
As I am not very familiar with similar processes, I have a couple of questions about its feasibility.
What type of process is this?
What are the mathematical formulas for the time function and transfer function?
Calculation of the corner frequency.
Calculations for the amplitude function and phase function for the corner frequency.
And a Bode diagram for the process.
i do have a graph of the PID proses aswell
what do you mean by pid
because i don't think it's principal ideal domain
@muted rivet
this looks like an engineering thing and so i doubt people here are going to be particularly able to help you
It's PID controller
https://en.wikipedia.org/wiki/PID_controller
#odes-and-pdes
something relating to engineeri- wait nvm
your right PID stand sfor Proporsjonal-Integral-Differensial regulator
I have tried but there where no respones and someone dm me an dtold me to try maths since it is by far the most populare and active of the branches
true I guess the reasonong was that the
the mathematical formulas for the time function and transfer function
Calculation of the corner frequency.
and
Calculations for the amplitude function and phase function for the corner frequency.
are related to math, the math sure can solve the problem with the right information but the problem of accusing the corresponding information needed is probably more inherent to EE
Moderators getting pinged a lot lately
Its great
I wish I got pinged a lot lately
what math is required for cryptography? @zealous garden
I don't know cryptography very well, I assume you need number theory
@surreal sapphire
@zealous garden what are your thoughts on clifford algebras over the p-adics (pinged due to request for more pings)
@zealous garden how do I track small animals using RFID technology
it depends on the specific subfield you choose
at the very least you need to know some basic number theory and probability theory
and then depending on what you care about you need a lot more number theory
I will let you know whenever I have a functional understanding of p-adics
I will tell you I have those as something I want to consider
yes I see
I will look into Number Theory more, thanks
chip em and dip em
clifford algebras are better than p adics
p-adics are just power series
Yes, geometric algebra is a powerful thing
But this isn't a question of comparisons
Because the two are not in competition
what
Put a tracking chip in em, dip em in something, like a safe dye, because it sounds cool to say "chip em and dip em"
Lol
yes
well
Cliff_n might not make sense
what do quadratic forms over the p-adics look like
I've asked in #groups-rings-fields
programming languages with no variables are just too good man
like what
brainfuck
depends on the field and what you do as an undergraduate mathwise
sometimes it's alien language, sometimes it's manageable
faster, harder, and grades usually matter less
Harder better faster stronger
Im reading paper called the kelly criterion
ok
Improper integrals are making me lose my mind
"it's just an integral with a limit, surely it does no harm...."
uga
Is there any way the torus in the server icon can be inked a bit so it stands out against the background flag?
I was trying to figure out a nice way to say it, but yeah
as it stands I think it looks really wonky
Was the torus icon always the same cause it looks weird
It's a gif so not sure how to edit it
Any of you with editing skills
If you do you can do it ig
And send it to mniip
I believe we’d need the file for the gif to do that
I'm pretty sure mniip just changed the torus to rainbow and put a trans flag background
so you're offering?
ask him 
I’m pretty sure it’s the same rainbow as last PRIDE, but last time it was on black so it stood out really well
Yes the contrast is not great for this one
babe do u want to see my editing skills they r NOT it
good thing I dind't ping mnoop then
YES VERY GOOD THING 💀

Torus was always rainbow since last pride
That's not the point, the point is the contrast
Rainbow on black is contrasty
Now the reds and pink mix to the eye
Pretty sure it will fail web contrast checker
I’m just saying he didn’t change it to rainbow for this pride month
I have a suggestion to improve the logo as it looks a bit congested now. Instead of having the blue-pink-white background, we can have blue-pink-white strips around the torus. What do you folks think? Would that look like a more aesthetically pleasing design?
maybe but eh it's gonna take effort to edit + not that clear
no way you just did me like that
IT WAS SO FUNNY
you right
Prestigious calculus
LMFAOOO THAT GOT ME RLLY GOOD
is it just me or does precalculus sound cringe
premature calculus
omg its the man himself
yuuur
It is cringe
slimshady in the buildin
Precalculus has nothing to do with calculus
prestige
calculate
yus
@white thorn yes
good
with
21
next question
what is a what is b what is c
what do you mean by b 2
what is b
then a + b 2 + c 2 is just a + b 2 + c 2 itself
you're welcome 🥰

6
i think it 6
Also 21
can we just ping mods on trolls rather than entertain them
The chat is being flooded
bruh
what?
💀
<@&268886789983436800>
now this is where I'd request a mod here
That was fast
Couldve saved time by doing it earlier
honestly earlier I thought he was just being a silly goose and no harm
Ban
that's a nice kick
Might also be good to just leave discussy for a while
not sure but even myself am getting annoyed
no u
I thought I'd be stronker against the ambiguous and not-so-ambiguous hate
shut yo ass up go get your cash up
Hi
hi
Im probably the most proud of this flash creation.
Its a live graphing calculator that lets you adjust the coefficients in real time. This was 3 years (2008) before desmos came online. I should have brought this to market back then 😫
Hosted on newgrounds because where else can I share SWF files?
https://www.newgrounds.com/portal/view/886232
It isnt original
but its still really fun
i made a grapher in roblox when i was younger
and i added a feature that detected asymptotes
also made a vector field grapher in 3d
im mentioning this because i find it interesting that we did similar things
I think the biggest problem that I have had with algebra, and math as a whole, is trying to understand the logic behind working it all out. I can learn to factor, simplify, expand, esc. but that won't mean anything if I don't know when to do it.
Chmonkey
where'd GTBOT go
They do that all the way up until 'advanced math' or 'graduate math' for some reason. Thats when they finally explain what is happening
I don't know why you have to read a 'graduate' textbook to get an actual explanation for something in math but you do and it really sucks... Especially because I don't have a math degree
Foundations are kinda rough tho
huh
hi
hello
chmon
Mirza
its a monk
among us
mogus
how have you been
i have like 7
Wow
no i got busy with uni 
Last I remembered you were applying
yeah
Or unsure of where you were going or something
im glad i went to where i did its cool here
its a liberal art university so we get a well rounded education
im studying as a computer engineer 
like my parents
Is it in Pakistan
Oh neat
i get the full karachi experience
Like actual apartment?
7 days without water
Swag
Is ur place like 10 sq ft
no its pretty big
Oh nice
Wtf
Nice
20k pkr
Is it shared?
You share it with people?
,w 20000 pkr to usd
yeah one of my cousins lives with me
Wtf
: )
BRB moving to Karachi
Ok, 20000 pkr must be a lot there
chmonkey gets robbed at gunpoint
Consider 1 pkr ≈ 1 inr
My rent is over 2,000 dollars
,w 1 inr to pkr
,w 20000 rupees to usd
nice
Wow thanks
called it
🦢
How’s life besides that
but yeah my tuition is also pretty cheap
Are you Mirzaing everywhere
yeah its pretty cool i guess
What does "cheap" mean there
1.5 lakh per semester, i have to pay 70k every half semester
which is 250 dollars per installment i guess
we have like
heated swimming pool and stuff
Isn't that very high in the Pakistan context
What's your dad's salary like
Ok what's the average salary like, over there
i do not know actually
Guy asking his potential marriage partner to establish how large the dowry will be be like:
Basically what I’m saying is that DraK is proposing, I think
i am organizing a math event as well actually
mb it's/4
for the highschool kids 
I thought it was x4
a combinatorics workshop
the workshops have not been made yet
It's 1 M PKR apparently
that reminds me I need to do that soon 
Doesn’t Mirza mean like prince or some shit I forgor
Prince princess idk
Something like that
Per month?
person of royalty
yes
inb4 drake gets shanked
Won’t you become resented for being Indian or something
Indians and Pakistanis look alike
Well Indians, Iranians, Pakistanis, Bengalis and anyone in the South Asian region look alike
among us
Yeah people mistook some Iranian personality as Indian
The Iranians I’ve seen do not look like Indians and Pakistanis
I see
though there is variation between people in south asia
Iran should’ve kept the name Persia
This guy will fit right in India, for example
Huh
he looks like a pathan
Maybe the Indians that come to America all have much darker skin or something
I would not think he’s Indian at all
pathans blow people's minds
What’s a pathan
whiter than white 

there are surprisingly a lot of pathans in karachi
and the area i live in is majority pathan
and somehow also shia pathan which blows my mind
I realised I am actually not used to seeing dark skinned people here
This is the norm
we had 4 projects and i was carrying all of them 
previous semester that is
first semester was ez
Oog
bcs it wasn't graded
Even in school Pakistani guys just let the girls do everything
yes our uni is based
😔
first esemester is ungraded
Lovely
Now only if that were the case here, my gpa would be 40% higher
lol
You guys use the 4.0 system?
India must be the only country that does 10.0
we have learn abroad program with texas a&m and stanford 
I think Israel does
one of my friends is going to stanford for his semester
wat 10.0 gpa 
gpa conversions must be a shitshow
Texas 
lol
As a girl 
What if Texas A&M had offices in places other than Texas
I mean houston is like
As foreigner 
diaspora hotspot
Big companies always do that no?
Also i have a house in houston 
Are all the offices in Texas or something
Mirza rich moment
amogus
Mirza is royalty moment
i was born in ohio
Mirza’s dad makes 100m pkr moment
100M pkr is actually a realistic goal
i don't remember anything other than pakistan though 🇵🇰
i remember I went to the interview for my uni
and my uni has those faucets that like
Should I move to Pakistan
turn on when u put ur hand underneath them
I can hang out with Mirza in Karachi
karachi try not to get robbed challenge (hard)
I imagine racism might be big in Pakistan
EZ
this imran khan situation is crazy
Like it is in India
Racism to who
Foreigners
actually not that bad afaik, i have facutly who are foreign 
😮
we've had shahrah e faisal blocked like 50 times
and my friends panic so hard
when i just have to walk home 
Wtf is shahrah e faisal
Oh
half planned half accident
What’s imran khan
former prime minister
was like
voted out or something
and in place shahbaz sharif was put in
I don't know why
shahbaz sharif, brother of nawaz sharif, famously involved in panama papers
My workplace has a 2 monitors setup
pakistani politics has no heroes
something something money laundering
Swag
Well it's papers that reveal some dark secrets of some big political figures
i dont watch the news
He was on the grindset
yes lol
I think Jackie Chan was on them
almost all pakistani politicians live abroad by the way
mostly in england
Why UK
My big dark secret would be that I have a chair monkey persona and spend way too much time on discord interacting with like 18 yr olds on a math server
panamanian

lol
i am still 18 
will turn 19 soon
I will turn 21 soon
Big cringe
AKA old
9 + 10
21?
yes
Yes
either my age or drakes age

chomsky
That’s me
what the hell is type theory
same
What’s a type? No one is able to define it
i dont understand

Ok that's incredibly normie
okay whats a homotopy type theory
Ask mniip
no
i looked at an article
Where will Estonia go with category theory next?
and its all just guys computing pi(S^1)

Homotopy classes of maps from S^4
Hm
Technically some base point stuff but it doesn’t matter
and then pi_4(S^3) is those maps' action on S^3?
OHHHH
it forms a groupoid structure or something?
or monoid
inverses won't exist under something like that right
Hi mirza
It’s a group
ask me
this question just popped into my head, but why do we learn limits first in calculus instead of integrals or derivatives?
both of those notions require knowing what a limit is
i asked this to my classmates and they said that integrals were invented first, so technically a formal definition of limits wasn't created yet
therefore you can technically grasp the ideas of integrals before learning what a limit is
Many people don't learn what a limit is the first time. They know what it should be but not what the exact definition is
It seems kind of silly to learn something before you actually know what it means though
u r in grad school now right
He was in grad school last time you spoke to him
He’s entering year 3
☠️
ewll im technically not wrong
Logo looks very pretty. Good job to whoever designed it!
basically, isomorphism implies equality
???????
There are over 100000 people on this sever
Why would I be here 24/7 (That was 1 am for me)
how du even notice that msg 
hmmm
What i'm reading here sounds too good to be true 
Like there is a correspondence between programming, homotopy, and also logic
what's the drawback 
I'm old now
mrow
I'm an old man working on old mathematics
no ur a cute anime girl, confirmed too many times
The drawback is complexity clearly
proof relevant mathematics
he probably pulled a timo
as in it is part of foundations? 
as in, when you've proven something, it is important how you proved it, rather than just simply the fact that you did
elaborate
eyes than can see 5 letters in the midst of 100s
ahhhh i see
yes i have heard it is hard to formalize proofs in proof assistants
so that might be a problem 
Olduwu
hm
how exactly
four color theorem
Chmonkey
Because dependent types allow you to have a dependency on it
Gotta be careful with your type systems
Don't wanna make Bertrand Russell mad
Hey guys, I just proved the collatz conjecture!
X := X -> Collatz
X -> X
X -> (X -> Collatz)
(X -> X) -> Collatz
True -> Collatz
Collatz
🙂
OMG HI I HAVENT SEEN YOU IN FOREVWR I HOPE YOU’RE WELL
A basic example of this comes up when working with sum types. If you have a type $X : \Type$ then a fibration onto $X$ corresponds to a family $P : X \to \Type$ (selecting fibers), and a total space $\sum_{x:X} P(x)$
m...
Elements of the total space can be constructed by choosing an element $x:X$, and an element of the fiber $y:P(x)$. Then $(x; y) : \sum_{x:X} P(x)$
m...
This is how you would construct e.g. "subsets" of the type X. Choose a family of fibers that contains at most 1 element everywhere
Now the question is when $(x; y) = (z; w)$. You may be tempted to assume iff $x = z$ and $y = w$ but that's not it.
m...
For starters $y$ and $w$ have different types: $y:P(x)$, $w:P(z)$. If we know $x = z$ then we can turn an element of $P(x)$ into an element of $P(z)$, but how we do so will require us to specify a \emph{way} in which $x=z$, i.e. choose a proof term $p : x = z$. Then we can denote the resulting element $<trans>\nolimits^P_p(y) : P(z)$
m...
so instead, we ask that $p : x = z$ and $<trans>\nolimits^P_p(y) = w$
m...
geometrically, p is a path in X, and we need to lift it to the total space. Choosing homotopy inequivalent paths in X will produce homotopy inequivalent paths in the total space
If your proof of x=z is really big and ugly, you'll be forced to drag it around in the second part of the proof
cc @reef elm also ^

what's the problem
yes
what's the problem
😠
not being weird is free
june 😠
?
muh ukraine is good because russia is big meanie head
hello i am gay
Nice to meet you gay. Are you the person everyone's been talking about?
they better not be
I hope u feel better
Wait am I in a lgb server?
well, depends on what u mean by that
this server supports LGBT
yes
but it isn't meant for LGBT
Oh
yes 
What were u born with

male 
Isn’t chopping ur balls of expensive?
oh man
well....
it isn't necessary to get your "balls chopped off"
most normal discussion poster
What is ur user though??
,av
?
what do you want from me
What does yo user mean


bruh
every topological manifold (https://en.wikipedia.org/wiki/Topological_manifold) can be made into a smooth manifold (https://en.wikipedia.org/wiki/Differentiable_manifold)
sully indeed
Their username is propaganda if you're asking
what's a manifold
NAWWWWW
a good pair of scissors does the job, even kitchen knife

That’s probably what some fool at my school did cause they even poor than me
remembering why i had discussy muted
TTera are actually all manifolds smoothable or is this just propaganda?
sometimes I really feel like I should get permastudying again
do some research and find out
it would be boring if i told you

fair enough, Is this covered in spivak's book?
probably not in calculus on manifolds but most likely in the 5 volume series
If you take high enough grit sandpaper to the manifold, it becomes smooth
just like my brain
after reading discussy




lee's book?
definitely mentioned there
without spoiling the fun i will say this
it's kind of tricky to actually prove whether the answer is yes/no
very non trivial
it's pretty easy to find the answer in lee's book

Don't say this, mods might send you to the p***s explosion chamber and get your p***s exploded
🤨
Oh
Damn
My time's up, thanks for the updoot ttera
gl on ur journey
thanks
Me: Cutely opens help channel and asks/j
@somber musk
isn't -1 = e^1pi, where did -1 = e^((2m + 1)pi*i) come from
I'm not understanding the 2m+1 part
euler's identity
- -1 = e^pi?
- e^(2mpii) = 1
e^{ipi}

e^(2mpi * i) = 1
oh right, their period is 2pi
So we can add 2mpi to the angle whenever we want
Anyone got math stories from when they were a kid?
I remember getting really confused about counting to 100 in kindergarten, I couldn't figure out how to count past 20
was doing a bit of collatz and got bored of writing the proof
When I first learned about quadratics and about completing the square, I came up with a cool way to cheat on those problems that was basically just the quadratic formula
e
When I first learned the quadratic formula I spent days trying to prove it
Hello everyone, I'm from Russia and I was interested in comparing curricula at universities. I am studying for a bachelor's degree in mathematical modeling in my first year. For example, one of the tasks of tensor analysis is to obtain a formula for calculating the number of independent components for antisymmetric and symmetric tensors from a mixed space E n p for any n and p. Mathematical analysis is easier, in the last work there were tasks for calculating the arcs of curves in the polar and Cartesian coordinate systems. Older people sometimes say that tasks of this kind used to take place in later courses, and not in the first one, as now. Therefore, it became interesting how it works in other countries.
If I made a mistake in the text, I'm sorry, I wrote it all in the translator.
Math ?
Mæth
I would say that in most places this would take place later
Nice
But it varies
Many first year students could learn that stuff in their first year. But many curricula have it in the second.
In fact, many curricula don't even really go into real tensor analysis (beyond linear algebra / vectors / matrices / dual spaces) at all.
Their last words before they deaded

who got purged?
I imagine that’s their face as they got b&
Who deleted my mocha


I’m the reason mocha got added, isn’t that so cool. I made it an emote cuz I liked the photo then like 4 other ppl did
I just ate 2 bowl of rice
So they just added it
what happened here
Yea
So basically, I’m the most swag
Fire
Word
i just ordered.
stew
and
rice
ans
5 fist sized dumplings
for lunch tomorrow
i ordered it at level 5 spiciness
How come every time I check this server someone's getting banned
How controversial is the math y'all be discussing
I would kill for some pork gyoza right now.
it’s mainly just spammers
😔
You'd be surprised
hello
hello
CAN EVERYBODY PLS SING IMARIA HAPPY BDAY (my new bestie boo pls)
pls
she will be so thankful
TYSMMM
Hpbday
Hallo discord
Hello anyone there
Chmonkey
Math be dangerous
<@&268886789983436800>
How do I speak with admin?
Can anyone pls point me in right direction? Right profile
If you want to reach out to the moderators, you may DM @polar panther . If you want to engage with the server owner directly for anything server related, DM mniip
Thank you kindly
long time no see manan
Hello numbpy!
I've been busy with the exam season lately
I hope to be around more often once I'm done, will have some time transitioning between undergrad and master
Ah, nice. All the best for your exams!
May the odds be ever in your favor
I need help
Please read #❓how-to-get-help
So I want to ask if middle school knowledge is enough to solve a problem because I am thinking of solving it and chatgpt has been lying to me recently so I am not gonna ask it. Where do I go for this?
"a problem" is way too broad


Twenty-one girls and twenty-one boys took part in a mathematical contest.
• Each contestant solved at most six problems.
• For each girl and each boy, at least one problem was solved by both of them.
Prove that there was a problem that was solved by at least three girls and at least three boys.
Thats the problem
Math server 85% male 
0.354% of the members participated in the survey.
Yeah, seems correct.
99% of the members never sent a message
Is this server not welcoming to non-males?
i dont know if thats the conclusion you can draw from that stat alone
Aren't this the real world ratio?
I mean, the rate of gender non conforming/nonbinary folks is quite decent compared to the general population (I don t know any statistics, so I might be wrong here). For females... idk, I think it is a problem in the real world too.
who wants to be invited to the collatz server
What goes on in the collatz server
oh is that cv's server
How do
me
<@&268886789983436800> are server links allowed
if they come up in discussion, sure
ok
and someone asked for it, so 🤷

i am sure you are very serious iAmABozo, but that's pushing it on advertising
Sequel to general!
I just proved collatz
if someone proves two of the millenium problems are equivalent, amd someone proves one of them, does that person get 2 million
They're all equivalent
proof
I just ran through all the natural numbers backwards
you did WHAT?
coinduction on the conatural conumber cofella
thats what a category theorist would say
Tell that to the $6 million in my bank account rn
(It's actually more like $6)
relatable
if someone proves ZFC leads to a contradiction, do they get all the money
what would something like that look like
<@&268886789983436800>
if the magnitude of the first fourier co-efficient always greater than the other co-efficients?
So, yes, is it true generally?
Context: My professor was talking abt this and he said |b_1| > |b_n| (n#1 and is a positive integer)
Not always for sure. One simple example would be cos(2x), the 1st fourier coefficient of that is 0 and the second is 1.
Oh, someone answered you elsewhere
I am sorry, I should have deleted this. yes, they did! thank you tho!
i have a strange question... how i can reform music of kfcmc to math formula?
kfc
We're talking here
what if they go to a german/french conference and innocently ask for some water and are rudely greeted with sparkling??
i think it's vv relevant to grad students
i am so sorry
i didnt realize i was bringing up past trauma
that's a horrible experience
ex-perrier-ence?
heh
I don't even know Perrier water
Who even thought about greeting ppl with sparkling?
Europeans
If you can't afford coffee or orange juice, bottled water is default option
The spring from which Perrier water is sourced is naturally carbonated,
i found the spring to hell
i think sparkling is good on the situation. Like at a restaurant sparkling over still
I'm so sorry, but you got scammed buddy 
at that point just get a soda
soda is like bad tho
I didn't go, this is secondhand from some friends who did study abroad
still bad
better than sparking
In France you have to ask for tap water to get it free. Otherwise they will bring bottled one, and you will pay for it
idk ive never had soda in my life. Too sweet in the few times i have had it
Nestle water is p good though it's been a while since I don't remember, Kirkland is a top tier drink, Aquafina is pretty good, Dasani is fine, Smart water is fine
What else
LITTLE ITALIAN PLACE RIGHT NEXT TO THE MARIENPLATZ
Sparkling is hell spawn
Ozarka I feel like I've had once and was like ew
I've had another time and was fine
fancy bottle tho
You got scammed brat 😄
life water keeps poping up for some reason
what am i supposed to do 😭
Next time bring a local 😄
idk if they just have a monopoly over LGA but everytime i go there they only sell life water
"oi matey this here watah ain't free??"






