#serious-discussion
1 messages · Page 530 of 1
I though R^infty was the set of infinite dimensional vectors with finite magnitude. For example, [1, 1/2, 1/3, 1/4, ...]
That looks like it has infinite magnitude no?
Because the sum of the squares of those numbers would be lower bounded by the harmonic sequence which diverges
Ohh
I see
Yeah I compared the wrong way hahaha
If you took it as a union though you wouldn't be allowed to have infinitely many nonzero entries
So I guess it depends on the author
I think the conclusion is that most of the time
you can get more leverage over a subset of R^N
and that most applications naturally land in some subset

i.e. if you are studying things that naturally have finite magnitude or whatever
That definitely isnt standard notation
That's $\ell^\infty(\bN)$
ryc
Must've misremembered it
i just want you to know that i love you very much because i had no idea \ell was a thing
ive been typing \mathscr l this whole time

i like \varrho
\dagger
oh that's a good one
Namington
the stem on the bottom-left is too thin i think
a fair criticism
$\eta$ will always be the best greek letter and the best latex symbol
ryc
sully
eta is just an elongated n
some of the coolest imo are $\varphi \vartheta \chi \Omega$
gmod
$\xi$
ShiN
xi is just weird
you're weird
$\xi\zeta$
gmod
$\Xi$
zeta is also nice but xi is much nicer
Gamer Dio
gmod
it is very necessary
\varpi
$\Zeta$
ShiN
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)

My first thought was a broken square $\Theta$
Gamer Dio
$\varpi$
gmod
wtf

that's just $\overline\omega$
gmod
Not quite
pretty much
It’s a character in its own right
$\varphi$
Gamer Dio
$\varphi \phi$
Gamer Dio
drawing contest! draw $\aleph$ and post it yere
gmod
here*
Knuth may have just copied his code for omega with the line from tau, but varpi is still special
$\aleph$
Gamer Dio
^there's my drawing
how
It’s script
$\mathscr\aleph$
gmod

Bro
I just write N with little diagonal slanty bits on the top right and bottom left.
fuck
this should not be a thing
ok so draw a NORMAL aleph @neat frost
exactly as seen here $\aleph$
gmod
$\omega$
Jester
Chi would be better if it were proper
What’s proper chi?
Hmmm
That eta is sublime though
Yesh
Best things there are the gamma, nu, psi, and eta
I don’t like your sigma tho
The sigma is bad
I’m picky about my sigmas
Its supposed to be more seamless
yay
lazy
oooooo nice
Yeah because normally I never would have to print an aleph
the diagonal too straight smg
Diagonal should be straight
Chi is all about juxtaposition
Bombastic diagonal against vanilla antidiagonal
$\figma$
Jester
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
$\ligma$
Jester
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
$\sigma$
Jester
Damn
I like gmods pi
Made with the help of gimp and the path tool
Its cool
oh actually? thanks
Goated tau
they're good
Meh just imagine that the psi is properly centered
And another long tailed eta 🥰
Yesh I pop
Yeah now focus on the chi ryc
my rho is the same as my p except no top portion
LOOK AT IT
MWAHAHA
I think it's good
Stop drawing x's
the sigma sucks tho
Lmfao
LOL
shall we draw the capital greek letters
Wtf
Sure
Sure
okie doke
I sometimes have good capital sigmas
I realized that over half of them are the same as Latin letters
I always try to perfect my sigma
I like your sigma ryc
I made a short on handwritten sigmas
you have the tryhard type
also that was my first time writing a capital phi
lol
Slurp's sigma is better than mine
Ah my Es
Your Lambda looks like it has to pee
LOL
I write so many of them Oml
I am omega
Fuck you my lambda is fine
I am kappa bc I am 🧢
I’ve never written an uppercase lambda before either
It's funny that's for sure
The legs going inwards actually looks good
Better than outwards
I just draw straight lines
I rarely write capital greek letters tho
except pi and sigma
in not at that advanced level yet
Your Xis tho are so tryhard
The real pros draw lambda with only the right leg going in
whose
Lambda
Both of yours
lambda going for a walk
l0l
lmao
No $\Xi$
gmod
Your handwriting (yours and ryc’s) is so smooth tho, I’m jealous
lol
Smaller in the middle but yes
People compliment my sigmas 
this girl in september complimented my handwriting in physics class and I still remember it
I take pride in my sigmas
no
she's a very complicated persob
I hate complicated people
I am simple
I am monke
Yesh
slorp
Fuck da complicatats
ily
Ily more
I wanna sex u
You guys get complimented?
I don’t really talk with people so rarely yeah
One time someone called me smort 
bruh
slorp u smort
What?! You disagree?!??!
u jelus????
no u more
my relationship with blo is better than your relationship with slurp
4!!!!
He was like “oh <my name> is smort” to someone, and they were like “I know” and I just looked up and ignored them
#peaksocializing
Stfu no
awww
You’re just jealous quanty
me slorpy quanty and blokey have $4\sum$ yessss
gmod
🐸
Yo how do you guys differentiate capital psi and lowercase psi in writing? I mean, I could add the serifs, but that seems time consuming if I'm writing capital Ψ a lot
make it significantly bigger
same way you would differentiate capital O and lower case o
or k or x or c
Matches my personality
smooth brain??
Capital Psi can be not wavy. Lowercase psi is wavy
But then that makes it hard to fit in a line, or half a line if it's in a derivative
oh idk
see what ryc said
anyway one of my pet peeves is when people don't put a dot after the last letter in an acronym, e.g. "U.S.A" when it should be "U.S.A." or even just "USA" like wtf people
Why couldn't they have just used λ or something for the wavefunction smh
infinitely differentiable brain?
do others share this pet peeve?
shut up
yeah i don’t like it either
one of the best skills I used when making posters in middle school was to put an exclamation point if you need an extra character at the end of a phrase
it was an ego boost when someone asked me "what do I do? I need more space here" and I said "just put an exclamation point" and they were like "oh wow that's actually smart" 🤓
bc u can make those suckers as fat as you want and nobody will think it's weird
My pet peeve is the extra period
?????
What the fuck am I supposed to do if I want to end a sentence with h.o.t. (higher order terms)
It should be "We drop the h.o.t." not "we drop the h.o.t.."
another pet peeve is when people put two periods
I wish I could just say "we drop the hot." But I dont
We drop the h.o.t. We hate the h.o.t. as much as you do.
it works
or you could say HOT instead of hot
I always make mine upper case without periods
ok im watching

new pfp
What ..
yes
It's r.y.c.
am i supposed to add a grad cap to my nickname too
did you graduate
yes
all these math books at sams club, whats a guy gotta do to find Edwards’ Galois Theory here
is it me, or are abbreviations like t.h.i.s. so annoying to read
just totally interrupts the flow of reading
I happen to be of the opinion that writing dots in abbreviations is annoying and useless. I don't ever do it and I think it should go away. It's more typing, and it's not any less ambiguous. Nobody has ever confused USA for the word usa.
@wicked ore why'd you make your name like that then???
hahaha
Are $500+ bikes one of those things that if you're not totally into wanting it, it should be avoided?
Definitely, if your not going to be using it a lot why spend that much money on it.
I think spending a ton of money on a bike like that if you're not super into it is a bad idea
Like
You'll want to take care of that pretty actively
So if you're not into that
ah i wasn't aware of how much maintenance they required
my initial thoughts were that I could always just resell it if it turns out i dont love it, but if i gotta babysit it while i own it, maybe not
And I've got a lil bit of burning money atm so that was one of the things that came to mind
also because a cutie i just started talking to mentioned theyre into biking
only $500 then? you need to show interest and wealth tbh
spend over 2k tbh
buy her a whole bike store tbh
and a whole trail
you know
or him
i feel like at that point, Id risk coming off as that guy in the movie flesh
lol i already paid for her breakfast, any other money spent is going towards a sweet ride 
hell yeah
I was playing around with Fourier series and figured out an infinite sum that generates pi but it's so inefficient that after 84 numbers it still has only one digit right
yeah they tend to do that
Pi is exactly 3.019
Clearly proven by math
Also how do mathematicians determine if they've got a digit right? How do they know for sure that lower digits won't mess things up? Or do we know?
we can "bound" how accurate our approximations are
if we determine that, for example, our approximation of 3.1414 is accurate within ±0.0002
we know we got at least 3.141 right
what 
I can give an example in terms of infinite series. So there are taylor series which basically turn a function into a polynomial and there are the converging series which converge to a single point. So you can keep getting more and more accurate answer wth every term you get from the taylor series.
that stll does not answer your question and idk 
prolly just believe?
Not really, I already knew about infinite series. The question was how do we know if we've gotten a specific digit right or if you need to add more numbers to it
I guess it's probably easiest to figure out with roots of a number
For example you can test each digit for root 2 by squaring the whole thing and seeing if it's greater or less than it
And if the digit +1 is greater but +0 is less than the digit is correct
@finite violet #❓how-to-get-help
Oh so this is a test?
Huhuhu dodged a bullet there fella
Literally just open a help channel and wait
Everyone’s got only 1 question. Follow the rules my dude
Seems you didn't actually read #❓how-to-get-help did you
Also no one wants to help someone who won’t put in effort to follow the rules
You naughty sausage
Lmaooo what
“Help us help you” is something you need to learn
I want to help you less over trying to use being a girl for free help.
It's the only power I have before I'm modded and can delete this whole server
"Naughty sausage" 
Can you imagine cutting all these people off their main drug
Laziness and entitlement?
naughty sausage
Saucy nausage
me when the nausage
That's rigged
No i will do that
u cant do it
hm
hmmmmmmmm
is it possible to represent any real number as product of primes with, possibly, irrational powers?
Is there something that shows that its impossible
wdym "possibly" ?
to be clear - with real powers, I just had a thought if an irrational can be represented as product of primes with rational powers, but lets say its a mistake.
So just "Can any real number be represented as product of prime numbers with real power?"
take the binary system
any number can bet written as a sum of powers of 2s
you can take a 2 out and that's a prime
hmmm
Yes,plot y=a^x. It passes through all the real numbers >0
After that, it's just intermediate value theorem
oh, that is obvious, yes
and what about primes with rational powers?
specifically, I faced with need to represent e as product of primes
I think its possible, since e expanded in infinite summation 1/n!
not with a finite product of primes
a finite product of primes with rational primes is algebraic
no and yes
oh
pappa already answered
yes, with infinite product, its possible
is it now?
How are you defining an infinite product
$n = 2^{m_1}3^{m_2}5^{m_3}..., \quad m \in \mathbb{Q}, n \in \mathbb{R}$
RomanRott
you have to be careful with convergence issues
also
$log_a \prod^{\infty}_{i=1}p^{m_i}i = \sum^{\infty}{i=1}m_i log_a p_i$
RomanRott
but i am not sure about the base
You have to prove that's well defined
or like what that even means
You can't just multiply infinitely many terms
For example, "infinite sums" are really limits of a sequence of partial sums
as i wrote above, infinite product might be represented as a summation of logarithms, but you totally right, its all sketches.
I texted here to be sure that lately I will not find some theorem, that shows that everything I did was pointless 🙂
What would be a respectable CGPA in a bachelor's mathematics course if i want to pursue mathematics further(phd/msc)?
I guess 9+
Like I have seen people here who get scared because they haven't crossed 9/10 here
Tho a more reasonable goal is like 8.5+
i would like to know as well
also
is it fine if my overall cgpa isnt that good but my major cgpa is amazing?

Why is there a "major" cgpa
Like if you are gonna have that,why even bother with regular cgpa then
idk i heard there was something like that 
im still not sure on how grad stuff works so 
mm
Shyshu aren't you in highschool
Ew geometry
im in the last year of hs yeah
i shouldnt be worrying about grad schools rn
but i worry about everything too much
cant stop it 
Yeah don't worry about grad school yet lmao
You might get through your bachelors and decide you don't even want to go to grad school
chrew
anyways i should worry about my exam tomorrow
one that will get me into a bachelors

so yay
no pressure....
Learning math for fun is VERY different to being in Academia
Just take it as it comes until you have the info to make a decision yanno
yeah true

Yea if you do it in academia,you don't get to be a crank

I mean there is a difference between learning known math and doing independent research
Very different mindset and skillset required
Not to dissuade anyone one way or the other
But people seeking to apply to grad school should be aware of what they're signing up for
yeah
Yeah that's a fantastic place to start

I did a few of those and they were great
Looks great on an application and makes the transition so much smoother
Highly recommend
bye

WEW
Good morning shyshy!
STFU!!!
WEW WEW WEW GUESS WHAT
what
*a
tf is that wew
I'm correcting you
good morning slurp
wew is preparing u for the world ahead
Undred does tho

Check and mate (for you chess nerd)
banned from lichess.org
Get rekt
you, you got rekt
you were the one banned from lichess.org
how predictable
You are predictable
predict this, bitch
Everything is predictable
-Laplace, maybe
GOOD MORNING SLURP
Your mom is very predictable
-Lagrange, possibly
GOOD MORNING DARQUWU

NICE
yeah, good job slurp
thank you shyshy
Good job slurp 
L
lmao
Ryc…. watch your back.
Thank you 
...et's go! Good work!
gj slurp
thank you! Congrats on no life active
very disturbing indeed
What
aslo
I will pound you to dust
I put two spaces between all sentences
let's
ryc does double spaces
no life indeed
Shyshu
Did someone hurt you ryc?
,ti shyshu

yo twice is blue now
The current time for Samsyet is 23:12, 21/05/2022.
Slurp is 2 hours and 30 minutes behind, at 20:42, 21/05/2022.
Hes supposed to sleep for early travel tomorrow
welcome to the cool club, twice
Yeah dark blue is the best
Oooo where to shyshy?
go to sleep

to 200 km away
go to sleep
to give an exam
Dark blue more like DarQ 
you will be glad you did in the morning
an entrance exam
Take or give
gud one
Its what I was taught by my parents and in my typing class in middle school
DayUM good luck!
It's instinct
take
wtf 
I’m sorry but that’s the dumbest shit. No offense
You will do great
Good luck!
you got dis
also, this so true
The double space it nice
I want to be dark blue forever
wait ryc when did you get a banner for your profile

Light blue is dark blue with all the life sucked out of it
Slurp you're probably the type to never put whitespace in your latex
but that's not happening based on how addicted I am 
No… I hate to be the bearer of bad news but… no
has that always been there
I used a free nitro thing a few days ago
You’re probably the type of person to use \\
HAHA
nice
I mostly do new paragraphs
There is almost never a good time to use \\ ryc, you have done embarrassed yourself
In 95% of cases if I need to use \\ for something it means I need to restructure my sentence
Agreed
Hi
You arent arguing with me

Smh
is that some texit joke I'm too dum to understand?
They just create various amounts of vspace because i dont trust native latex padding
Smh
No it’s a latex joke
But like not a joke
Also I do \,'s in my integrals and after certain mathrms

So
Like medskip and smallskip and bigskip type stuff?
More space is always good
Ah well always
Oh idk what those are. Sounds dumb. Mine are better
what the hell is that
shyshu, go to sleep
Makes a little space
These are like the vertical spacing macros
Shyshu I would never want you to go to sleep
All the way from plaintex
Ryc wanna see some funny tex I did?
Yeah shyshy get some good sleep so you can crush the exam
Dont upvote that slurp you know you are secretly hoping shyshu misses his train or something
NO
i revising a lil
How dare you!
im tense
Shyshy’s future is important to me
yeah im brushing my teeth rn
No don’t.
Go sleep
Good luck shyshy
||
||

we are going by car
Good luck shy guy 
Oh nice
its like a 3 day trip, coz i have one exam tomorrow, and then one right the next day, for which i will have to travel another 200 miles
so tomorrow is like

it's still bad tho
Dayum shyshy
What times are the tests?
2:30 pm to 5:30 pm tomorrow
I guess you clicking on the spoiler was a long shot
O:
and 10:00 to 1:30 the day after
Now im here in the middle of nowhere
ik its a blushy sully
but i wont see it
lol

But I had to try
admirable effort

where are you ryc
are you looking at my analytics 
ye
What is this in reference too?
i am blue name now
i have more than i should
many hours and brain cells forever lost from #discussion
Transhumanist forums are so funny
dw twiceshy soon ull lose more braincells in some different chats!
it could've been worse
:D
Lol
I should go through my archives and post things from there sometime

time well spent?
Probably not

good
I have some real shit in my chatlogs
I am in upstate new york
i have posted a reasonable amount of cringe i hope

im not sure what you're alluding to john

least cringe person ever: "ive posted a reasonable amount of cringe"
yes.
linux mint auto uploads to imgur, it is very convenient
ryc are you giving me a compliment or being bitingly sarcastic
why sully ryc
oh, thank you
Cause that sounds way more like an obnoxious bandaid than a convenience
I would have agreed with you like 2 years ago
But screencapping to clipboard is just so easy now on win 10
Why would I ever do anything else
snipping tool sucks lol
windows 10 users be like:
fucking based
The divorce still has not legally happened
Why do you hate snipping tool 😵💫

throw the party anyway
coz y not
u guys ever have that moment
when ur card is so worn out
Shyshu go to sleep
i am basically sleeping
?
Here ill dm you the numbers you're missing
oh u mean credit card?
you are basically wasting the night on discord
gn
shyshu, you DO NOT want to sleep 4 hours before a test

i will sleep for at least 6 rn
I repeat YOU DO NOT want that to happen
and then a few hours in car
GL shyshu
ok i will come back like tomorrow
i have enough info but 4 digits devest
I kinda miss colorodo
I dont touch that channel

I was a cats user 3-4 years ago
Muted and hidden
sourabh is basically carrying the entire channel by himself
everyone else is just there to admire his dedication
Really
it's honestly quite impresssive

happens
ok lol that's a little uncalled for
Offering at gomez's feet lol
Well this is my search history
torn to shreds
I should probably delete tbh
shyshu substitute 
ready to pounce
emma big meanie confirmed
wait i need to make a bad meme
you know smth yohan?
wait
im waiting to pound
he?
Nice John

I think this recent one is really good
idk
It really embodies something about our relationship
pov you are gamma and you have never been wronger

and I fucking believed you 😭
lmao
What is going on here
how dare you do this to me?
Are we shitting on gamma and he’s not even here?
yes
No we aren't shitting on them
We're looking at me being a dick
To gamma
I actually forgot how bad I was being
gamma is not he
Yes
cranky as in irritable or as in crankery
I mean I knew how old they were
crankery
oh
And I wasn't being accomodating

wdym bullying kids is like
I like to think I did help push gamma towards a better path
half the reason im on this server
what's the other half
oh cool, i vibe with that

i havent gone through that phase yet
You can consider that part of the sotrue john
The only reason this is true is because they grew up
I gave myself deniability
I swear, if blushy sully is added before harold I'll be manually posting harold unironically
thonk
why would you believe such a silly thing
idk it makes me feel bad to think that randoms can find it
i guess
i mean this isnt even that bad emma
but it also means you can reflect on it n laugh at yourself
Yeah that's fair
to be honest
I have a lot of documentation of how I talked over the years
That's actually kinda neat

@sick burrow :blushysully:
mm
hahahhaha









