#serious-discussion
1 messages · Page 315 of 1
i cant tell you

I prefer to remain anonymous but I have released a few you might have read
What have you read?
kyoufufufufufuuu
I liked abstract algebra a lot
algebra 1
by?
lmao im trolling u
?
which book is this?
bro i gotta do hw
Dummit & Foote
In my opinion I feel like like the text contains too much prose while it hides important results in exercises.
What about u tho
here are some books im reading so far and they are still not completed
- linear algebra by richard bronson
- understanding analysis by abbott
- intro to topo by robert everist
- intro to graph theory by douglas b. west
their book covers if ur curious
i liked Linear Algebra 4th edition by Friedburg i hadnt read bronson
cool
how was it
how was what
I have not finished this book yet

linear algebra by richard bronson
ight bro
what is llm 
large language model
imma dip now
i said in process which means uncompleted
bye thanks for nothing lol
in the process means u are currently reading it brochacho
but ight
well i havent finished it
u just said u never read it
also i sometimes forget which author im reading

yeah bc i didnt read what i wrote
so i had to send the covers
😔
yeah ur the man
imma go now have a good one
This could be a new server banner
Did you make this :O
Love the artstyle
@snow helm so tell me then
how exactly do you expect me to react in a non-rude way to the following situation:
i give the OP of a help channel a question that's related to theirs but simpler, with the express purpose of seeing if they can do it.
to get a reading on their, the OP's, skill level.
and then someone else jumps in and solves it for them, which completely defeats the purpose.
atleast shoo them away by telling them how to get to #❓how-to-get-help right?
or whatever you deem necessary
guess what
wasnt reported to you
@reef carbon i wasnt here to disturb/rattle you, continue on with the helpee
i wont interrupt again
what
and i never liked your attitude
typo
yeah idk how to fix the typo
hows that a typo
tell me what you meant
fr
oh gorgeous typo
pray tell what makes you not like my attitude
oh yeah, because someone expressing a dislike of "my attitude" means it's on me to telepathically figure out wtf im doing wrong and not the complainer to clearly communicate to me what they dont like.
got it.
(sarcasm)
ok now help and waste your time with whoever doest know what to do in math
like .5+.5=?
sarcasm too haha

guys im really sorry to interrupt, but i really wasnt aware what was she doing, i was here with calculus problems which i had doubt in. i apologise for what i did there. im so sorry and i'll make sure i wont do it agn
yeah dw none of this is against you
i mean we'd take issue if you hadnt literally just joined
well leave her
she is a hot headed person ngl
im really sorryy tho
bro what are you talking about.
idk about you but like this sort of "idk any math" is something ive seen a bunch of times now and i know how to handle it
when a helpee cant self-report what skills they have or dont have (which is pretty often), i give them simple-ish questions to see what they're missing.
maybe they can do linear equations but trip up when there's fractions in there.
maybe they can do single-var equations but trip up when a second variable enters the picture.
maybe they struggle even with integer arithmetic.
there is a reason why i do things the way i do.
actually idk why i am yapping to someone who sounds like he will just not listen to me no matter what i say?
bro's MO is to hand out solutions
kinda and explain something comprehendable.
comprehensible*?
if u dont have nice thing to say then u better just dont say anything at all
its simple
Guys PnC ruined my life
I'm sorry, but your MO involves handing out solutions? You are aware that this goes against the ethos of this server?
Like, we have !noans and !nosols for a reason
would you mind letting me know what was said here, in English?
...Right, so his attitude towards nosols goes against the core purpose of this server
the first translates more or less to 'i find this horrible fr, assholes slap you with a nosols'
second group of messages is about some other server hes on
"I'm in the JNT (server name?) but I've been timed out"?
So it's fair to say that they were using a different language to avoid moderators detecting their insults?
Or "there is a timeout atm"
i think its like a personal studying role or smth idk
ah
from the outside looking in, that's exactly what it looks like.
well i dont wanna say theyy did to avoid mods, couldve just did it cuz i know hindi
but its def insults yeah
OK, please ping mods next time this happens
if you say so
@snow helm This is not acceptable behaviour, and I can see that most of your activity on this server in the last day or so has been interrupting help channels. Please don't do so in the future. I'm going to ask you to take a day off.
thanks boytjie 
It's definitely not mine either LOL
Bottom right is the credits
I'll try to find the artist page I think I have the link somewhere
paws of love..
oh lmfao
its just a bit of a weird request to make in a massive server where nobody knows you, yk
almost all of my unsolicited DM requests are deeply weird and im sure this is an experience other users relate to
any people participating in WMTC 25 in Thailand?
server be like: silence...
definitely right about the first guy 😂
i dont get any dm requests
🤔
does anyone know a source where it shows a proof/derivation for the difference quotient itself (definition of derivative formula)?
wdym
How do you verify your answers when you're working through a book's exercises by yourself?
I see if I'm right
check the back of the book
I don’t think what i’m asking for makes sense actually. i’m in calc one and having a hard time understanding what it really means, for instance, to subtract a function f(x) by f(x+h), I know that the math behind it works and the procedure is simple, I just want it to click in a visual/intuitive sense when considering something even as simple as x^2 and getting 2x from it. I want like, a graphical animated representation of everything going on.
do you know what a secant line is?
yes
so at some point x you consider another point x + h
and then find the slope of the line connecting the two points
and now you want to reduce h such that it approaches 0
the result is the derivative
checks the back of the book
this book has no solutions in the back
$\lim_{h \to 0} \frac{f(x+h)-f(x-h)}{2h}$ be like
zora (meow meow :3)
slightly curiously i just noticed this one avoids evaluating f(x) so doesnt that mean the two definitions arent equivalent
if f is a well behaved function this should work too
but then again f has to be well behaved in order to actually be differentiable
it’s technically more accurate than the other definition
basically for a given value of h this achieves less error than the other one
nvm 
but it also makes certain non-differentiable functions look differentiable
how lol
i guess if f(x) is not defined
|x| at 0
but every point around it is
symmetric difference quotient is zero for all h but obviously not differentiable
ig if you exclude weird stuff like that
Cus the sdq is not continuous
i mean it’s more practical if you wish to numerically calculate the derivative
yeah it's useful for calculations just not as a definition
It's arguably useful to have that value be 0 and not DNE
There's still information there
if you were to assign f'(0) a value it would make sense as 0 imo
That turn-around is still an extrema
it’s similar to like summing up divergent series
but there is no way to do that so that f'(0) exists is there?
bc the left and right limits arent equal
if you use this definition with f(x) = abs(x)
and try derivative at x=0
in general it averages the left and right derivatives when they exist
but if you have some piecewise linear function where the slopes are not negatives of each other you would get that the derivative at the crossing point is the average of the two slopes
which could cause you to miss extrema
ah
for differentiable functions its fine because the left and right derivatives are equal anyway. it just causes edge cases in non-differentiable functions which still have sided derivatives
In mathematics, the symmetric derivative is an operation generalizing the ordinary derivative.
It is defined as:
lim
h
→
0
f
(
x
…
huh, cool 
Is philosophy of mathematics discussed in this server at all?
sometimes, though most of it that I've ends up being people who take a cs course and think they know everything about math (cranks)
#foundations might be the place for it
Ok
Agario
I'm on both rn
👋
YEETTTT
u too

😁
The code doesn’t work 😭
@warm umbra welcome to mathcord
NOOT NOOT
Mike 😭😭😭
Pingu is a hooligan; and I don't like hooligans.
not sure what does hooligans mean

How useful are sylow theorems for crystallographic space groups
who wants to attempt a random math trivia question for the chance to win dollar
hi
penguin spotted
Embed fail. 💔
🫶
noooooooo
I mean I don't understanding something about girls, I don't know how this happens
The ones that we love, do not love us
And the ones that we do not love, who loves?
We love?
What?
What
@light gate I mean, if I love a girl and she doesn't love me then if I don't love a girl, how does she love me?
what do you mean
If I love her she doesnt loves me, then if I don't love her she loves me, then I reject her
That's what I mean
Gottem
"if (P and not Q), then (if not P, then Q)"?
what is your question
sure
This is the answer to the question
no idea what you mean but okay
What makes you think the girl will love you if you don't like her
If you don't love girl mean you're gay
No you are gay
My question is What makes you think the girl will love you if you don't like her?
Let $G={\text{girls}},P(g)=\text{I love g}'',Q(g)=\text{g loves me}''$
Estelle
this is $\forall g\in G((P(g)\land\neg Q(g))\rightarrow(\neg P(g)\rightarrow Q(g)))$, taking ``then I reject her'' to be a thing that happens for all g after the first statement
Ok
Estelle
Moment when you crack a joke in a mathematics discord server that involves thinking
Uhh guys is this relevent for this server
@ivory schooner yes its relevant for #serious-discussion
;-;
i have stuff to do by thursday D:
hi
rip u got this
Hello everyone. I just joined the server (somehow missed it for years), and thought it would be good to have semi short introduction before I randomly pop up somewhere here. How are you all?
helo welcome to mathcord!
i think ur in right channel anyway
im doing good wbu
Perfect, I was a little worried I messaged in the wrong one.
Not too bad, just some software stuff halting Uni progress.
what kinda software stuff?
Auto desk Inventor
The 2026 one doesn’t seem to be downloading correctly so I’ll just be focusing on the research and writing parts.
autocad?
The same maker, different software.
It’s quite similar to autocad but more 3D aspects
interesting
it should be the ideal generated by (x)
yeah u got it
because a power series is invertible iff the leading coeff is invertible
so (x) has all the nonunits
and is also an ideal
Do you wanna see a fun generalisation of this, just for shits and giggles?
Oh what was it?
gimme a moment to look through the notes lol
strictly speaking this was an example of a non commutative division ring
Nah nah it's fine, I'll just tell you about this commutative thing
So first quick change of perspective on k[[x]]
You could specify an element of k[[x]] by specifying its image in k[[x]]/(x), k[[x]]/(x^2), k[[x]]/(x^3) etc
and these things are just k[x]/(x^n) themselves, right
Savvy?
Yes I am getting it so far
Alright so
the only restriction here, for a sequence of images in k[x]/(x^n), is that they be consistent wrt quotienting even further
so if we have a sequence that is consistent in this manner, we get an element of k[[x]]
I'm sure this seems very obvious to you
im following so far
same thing
and instead of x I'm gonna just choose some number p > 0, p for later
Now a 'consistent' sequence of elements of Z/(p), Z/(p^2), etc
we can form a ring of these things
These are the p-adic integers
Z_p
Very simple definition, right?
gimme a moment
Don't expect to immediately understand what these look like
But the idea is that the collection of all these "approximations" in Z/(p^n) tells us exactly how to do everything in this ring Z_p
in the same way it worked for k[[x]]
i can understand this bit, i'm just struggling to 'see' what an element of Z_p should look like
Here's a trick
let's say p = 10
Then something mod 10 is just a single digit, say 1.
Something mod 10^2 is two digits, say 21
And the last digit must be consistent with what I claimed it was before
And so on: 121 mod 10^3, 2121 mod 10^4, etc
Now what might be a convenient way to represent all of this information at once?
right
@flat kite man why did you message me? anything to convey/inform of significance?
Well, perhaps to you it feels perverse, but to me it seems very natural to simply write this as all the digits at once, in a sort of infinite decimal expansion
like ...212121
well if the pattern continues, 12121 mod 10^5, 212121 mod 10^6 and so on, we can use bar notation as in infinite decimals
like \bar{21}
Yeah exactly!
And this is in fact how people write these numbers, sometimes with a subscript p after it
or 0.\bar{12] perhaps
Well, I would prefer to write it so that \bar{21} == 21 mod 100
but yeah
And the neat part is this
You already know how to calculate with these things
Exactly!
like, what about the number 100 := ...000000100
let's say x := ...2121212121
What's 100 * x?
Since you already know how decimal stuff works for the naturals, you know it's = ...21212100
So 100x + 21 = x
Interesting, hm? looks like x plays the role of -21/99. Kinda strange maybe.
I won't tell you all the details because it's very fun to try and figure out what these rings look like
no this is cool, I appreciate it
but I will tell you this: if p is a prime, then Z_p is a local ring with prime ideal (p)
I think this is quite relevant in the bit of maths i want to end up doing
i remember watching a frank calegari video where he talked about how the big project in number theory is figuring out what the fuck Gal(\bar{Q_p}/Q_p) is
Some things to think about
- What's the characteristic of Z_p?
- Show Z_p^n = Z_p
- Recall the chinese remainder theorem and use this to find out exactly when Z_p is a domain
Yessss local global stuff is huge
I feel lucky that I got to show you these for the first time
haha
But like, isn't it cool how these things are really not hard to write down? I think it's great
I'm going to have to think quite hard to demistify them, icl i was putting learning about Z_p off because it looked hard
but I'll reread this convo a few times and hopefully come back with answers
That's pretty cool
so i look forward to snoozing through lectures
Oh you
yeah, looks super good. they build up to showing u local global principle
wow i love number theory
I'm very happy for u
Thanks man : )
I appreciate having you here
where would i be without ur help honestly
I'm not so sure
oh we can formalise this notion of agreeing through the 3rd (??) iso theorem. if we consider k[x] as a module over itself, we have nested submodules (x^i) \subset (x^j) \subset k[x] (i<j). Then, if we consider the canonical surjection k[x] -> k[x]/(x^j), we can factor this through k[x]/(x^i) by f + (x^i) -> f + (x^j), this being well defined because of the nesting. so our representations stay the same (or agree) when we expand our ring in this way
Yeah that's exactly right
Of course this is a detail you have to kind of elide once you're working with the actual object, but yes it's the 3rd (or whatever number) iso that allows us to do this
oh and it wasn't the weyl algebra, the construction was like this: given a field k, consider the field of laurent series k((x)) and an automorphism \sigma: k \to k. Instead of defining multiplication in k((x)) in the obvious way, we define xb = \sigma(b)x, b \in k. denote this monstrosity by k((x; \sigma)). apparently, this gives a non commutative division ring. its particularly curious in the case k = C, \sigma = complex conjugation, because then it gives an infinite dim division algebra over R (we had just proved the classification of finite dim division algebras over R)
anyway i hate algebra
ohhh a twisted thing ok sure
interesting
I don't know much about inf-dim division algebras, but there is nice theory about finite-dim ones
it reminds me of the semidirect product construction for whatever reason
Infinite division algebra over R?
infinite dimensional
Finite dimension wins again
yeah that would be fair
yep there's only 3
lol
4
nono that's over R! Over other fields there are many more
There are infinitely many up to isomorphism for Q, for example
But the R case is nice too
oh sorry i meant to reply to this oops
i don't know shit about the theory over other fields
And all of them are Kingdon Algebras
oh curious
All algebraic number fields are rational division algebras of finite dimension
And get this swift... they're classified by a number-theoretic invariant 
oh yum
indeed
i can't wait to get to this
this is why i hated the non comm algebra course i took. like obviously no one does algebra by itself, people do other things and algebra falls out
I need non commutative algebra
All my algebras are non commutative
Except like, C or Λ+(V)
i recall some frank calegari video where he talks about langlands and about how zeta(-1/2) =0 somehow corresponds to prime factorisation in Z and how zeta(-1) or something corresponds ot the order of the brauer group of something being 24
it was probably the same video
what a good video
i wouldnt recommend it but each to their own
What else do you suggest I use for my non commutative algebras
Not possible
My Geometric Algebras are not commutative, and it doesn't get more fun than that
Well I've done a little bit of thinking. My inital thought for the question of the characteristic of Z_p is as follows:
It's clear that the multiplicative identity in Z_p is ...0001. This is because the multiplicative identity (call it e) is such that e = 1 (p^n) because we need it to be the multiplicative identity for 'finite' p-adics, and this multiplication happens essentially in Z/(p^m) for some m.
So now we consider 1 + ... + 1 = 0 (1 denotes the mult. identity in Z_p). We know that if the above holds, then 1 + ... + 1 = 0 in Z/(p^n). We know that the characteristic of a ring R is the natural n such that Z/nZ = R. So, the characteristic (if it is finite) is simultaneously p^n for all n, a contradiction. so char Z_p = 0
i didn't do a great job explaining myself
whatver its 0
Yeah exactly, it's divisible by p^n for all n
So it must be 0
Nice one!
for the second part (showing that Z_p^n = Z_p), the argument should go someway along the lines of the 3rd iso theorem. I see this should work intuitively because we specify that our representation agrees with higher powers
i should really formalise this
but oh well
you mean Gal(\bar{Q}/Q)
we know plenty about local fields just fuck all about number fields 
maybe. i really have no idea about anything and am still crawling in this world
Hello nerds

I did have this one question but I think it’s too advanced for a help channel anyway
lol
The math channel is for things more general and the help channels are for specific problems, right?
#math-discussion is, ideally, for talking about mathematics in general rather than for helping someone with a specific problem, but we also have topical channels such as #calculus or #advanced-number-theory

Hi, gher!
ello Outsider 
Does anyone know any software that can scan the work without payment? I only know about Cam Scanner but this one should be paid..
you could always use human beings 👀 we work unpaid
like u mean scanning papers?
If you have an iPhone you can use the note app which has this function ,the great thing about this is that there is no watermark ,hope it helps
Or any iOS really
Global function field erasure 💢
well we know things about global function fields lmao
@wispy bramble if you wanna get the green role fast, you should consider solving or explaining any "dumb questions" as long as you get an opportunity.
Hey who can help me with decimal
Like the fraction question a while ago
Claim a help channel, check out #❓how-to-get-help
Thanks
What's the decimal 6.7
God I'm such a loser
I need to get a job
Employment
I need to touch grass
Shower
Get some huzz
I'm so pathetic
Hlo
Microsoft lens?
Helloo
hello
Hi
Hi S
Does anybody know about the TeXackers server? I’ve seen some people wear the tag across the server. When I attempted to apply, they said they didn’t actually mean for the server to be open.
Important caveats (real-world)
These are theoretical minimums using a sustained 91 Gbps link. Real downloads are slower due to server limits, TCP overhead, encryption, routing, peering, request/connection limits, and local endpoint/storage speed.Important caveats (real-world)
These are theoretical minimums using a sustained 91 Gbps link. Real downloads are slower due to server limits, TCP overhead, encryption, routing, peering, request/connection limits, and local endpoint/storage speed.Important caveats (real-world)
These are theoretical minimums using a sustained 91 Gbps link. Real downloads are slower due to server limits, TCP overhead, encryption, routing, peering, request/connection limits, and local endpoint/storage speed.
i have talked about this before as well
its just the owner is inactive
It just feels so mysterious and i wanna be a part of it lmfao
@warm lance
He the owner?
I see.
morning fellow nerds
morning nerd
@median zinc May I try to help?
which question?
Integres
- Total number of pairs is 10,000, because both unknown m and n have 100 possible pairs
Sorry
yeah, you added one more zero
I was a bit confused
lemme show you the original thread
Actually I have some ideas in mind already, but still need verification
I love math, but I'm pretty limited in it except for percentages and algebra
I'm sorry for wasting your time
I finally used iphone note to scan the document. Really appreciate that

Hey dudes im trying to figure something out
Im an engineer working in electromagnetics and I need to learn more about complex variables/functions and residues
Are there typically uni courses that provide an intro to these topics?
In my area its just kinda thrown at you on the fly without any of the pre reqs for my courses discussing the matter
I've seen a few that fit the bill but they seem to really stress a background with an advanced calculus course
Which is fine
electrical engineering students in my uni usually take an introductory course on complex analysis, no idea about your/other unis though
Guess I need to study clifford analysis huh
Yeah im at Umich and it looks like they have this
It just really stresses taking advanced calc 1
Hodge decompositions generalize helmholtz decompositions?
Which is heavily proof based and I just have never had a course with formal proofs before
So its kinda scary
Im taking a more computationally based PDE intro course now and thats been really fun
well, "advanced calc 1" sounds like a good intro to proofs though
Yeah the description of the course just makes it seem really scary
"This is one of the hardest undergrad math courses, commit bitches" basically
Which is fine since im working while pursuing a master's im doing just one course at a time
For the first year
So now would be the time to do it
Nah this is definitely a 5-10 minute question
At least at an undergrad intro to proofs course level
That’s pretty close how’d you get that
7m+7n=7(m+n):5 = m+n (mod 5)
- a good start?
5 and 7 are coprime, if I remember correctly
It’s 7^m+7^n
Ah...this is where I made a mistake. Well, my mind is retarded sometimes
someone explain this question :Find the integral of 1/(1+tan^6000(x)) from 0 to π/2
Yeah so that works for 5 | 7m+7n
is it the hardest?
That one integral equivalent to RH prolly harder ngl
Significantly so
Skibidi
ill take that as a yes
It’s not that hard Brodie
To cut a long story short, these are the pairs:
(0,0), (1,4), (2,3), (3,4), (4,1)
So there are 5 valid pairs out of 25 possible pairs of residues.
Each residue appears exactly 20 times (since 100:5=20).
Then the probability is 5/25=1/5
.
By them saying “is it the hardest”
I hate integration
I don’t like helping with integration problems
Ts boring
No
Yea ts right
Being retarded sometimes makes you remember interesting things XD
Yes, this is weird. But I like to laugh at myself because real insults doesn't affect me so much

Reverse logic works fine
Ye maybe works
U see humans fear getting judged in public, or ruining their own public image
finally finished unpacking
No Problem 👌
,w zariski topology
OK so what if I
Yes
Yes?
Man I need to do computations? This sucks I hate math
Lance can you ban me
Making coffee? They only do that in TV, real people don't have the time and energy for that shit
u have time if u wake up early 🙂
If I had time for all that I'd get a fifth job to pay for my medical bills for getting shot again
-# AMERICA

Jeez I'm so tired

I am Yassine nice to meet you tired 
Bro why do they take attendance in uni 
that's so weird lmao
Yeah like if you don't attend 70-80% of the course or something like that then you won't pass even if you get full scores on all exams
At least that's what the calc prof said



honestly not sure how i survived these boring classes
well i say this but i forgot i have to take l*gic next sem
The thing is that usually they pass a list of all names to the students and they get the list back at the end of the lecture. But the calc prof calls out the names himself at the end of the lecture instead 

#foundations era???
Unfortunate
unfortunate
Deltoid's logic arc when 
How is that logically sound 
Autism.
I guess it's the same when my prof asks me
"why do you care about number fields"
autism
Math autism spectrum
There's a very good chance I do logic if I find something equivalent
Good luck in finding something equivalent 
real
If there was something like that you wouldve found it since you have many logic pilled friends 
Gotta love the wood chipper blackbox spam in model theory
Were you being tortured for doing a crime or something like that 
I'm sure there something like this,model theorists are deranged
When I read chipper I thought about potato chips 
ig it's time to sleep since I have to wake up at 5
(now it's 12)
gn deltoid and convergence
gn
@lofty forge Can you take over #help-7|zen1thxyz for me? I gotta go
Sure mate
Hey guys iam a complete noob and I want to learn math from scratch how do id do it
what's your current knowledge and where do you want to go?
my current knowledge is i know some derivatives algebra but do not know how that is useful and others my goal is to understand algebra and derivates
try applying it in physics problems
yes
alright i will try
iam currently doing bachelor in csit how about u ?
ohh nice nice
hey thanks for the reply my frn
philippines
nice
have u heard about ramanujan the man who knew infinity
he got his ideas from god u agree on that tell me your point of view
if posssible
crazy right
i wish some god helpp me like that lol
i mean everything ramanujan done with the help of god he says some thing like this
man there are some genius people out there
and here iam just a nobody
not smart
fucking stupid
there were many geniuses who contributed to today's math
if you're studying derivatives you're studying mathematics that took hundreds of years to develop
and you understood it
you know how to do them
yeap
yes i kknow how to do them
you're not nobody
that's all i'm trying to say
that's enough if you want to chase understanding
you just need to apply it
look at the visualization
yes
okay
try looking at the limit definition too
Well, if you want to start understanding more derivatives and calculus, you can start with Spivak's calculus or any book that is calculus and not "real analysis".
For algebra it will be a bit hard, as the "next step" is a bit abstract, but you can try Coxeter's "geometry revisited" which will teach you geometry and some background to university algebra.
thank you for the reply frn
Who wants to chat here?
Hi guys where are u from btw
midwest 'merica
wbu?
fuck you mother
Someone's mad at mommy...
no fuck you bitch
It's "that bitch" to you, young man.
fuck you
"Fuck you, your highness"*
uh

morning TTerra
WHAT
I need to visit this place one day 
oh dang

that's a shame
I'll open a new location

nice, maybe I'll check it out when I have time
oh wait hold on, I've been to a different location before
there's one closeish to where I am
I had one of their sandwhiches literally yesterday 
it was good!
mine's due tomorrow
been working on it a lot today
real
nice, I haven't had ramen in a while
I haven't really gone out to eat since the semester began

better not forget tonight then
Haven't you already done this
Huh

Woah you're doing a phd
Weren't you anti-phd for a bit

That's nice
Hello nerds
Hi
Welcome to the server @radiant thorn
Thanks lol
@radiant thorn
Nice pfp
Wish I had it
Hi
Welcome to the server @lapis veldt

I’m not joking
Tell me math equations
That’s why I joined the server
It’s a math server
200x20019191=4,003,838,200
200+19292929
292929+2929=295,858
292919+29292=322,211
ez
Ez @warm umbra
Cool.
$\Pi(X)\times\Pi(Y)=\Pi(X\times{}Y)$
Eclipso
To my calculations that’s not a equation
An equality is not an equation?
998377337733773377374747447473773733773737373737474474747484839931919919283838475757575757755782838 1828282828182882822828288282828383838288282288283828330200191919101991199191929292922982828282288228829292383929292929929292922992929299999292929292929292929292929292929292922992929292929333399293923892389389283923892382938922892292992929292838383828282828282828282828828282828229929292929229299229292932292929293x2828828282828282828282+28282= what
please dont spam nonsense
what = 0, (mod 1)
= 0 (mod 2)
= 1 mod 3

Hi, is there any way to get mathematica for free?
check if your school or employer pays for it
No they pay only for comp in school..I need it for my laptop
Get the unlicensed version
Wait nah you might need a login i forget
see if your school offers an option for remote desktop then
@sudden solar The one who came when we started the final question, didn't want to say there because it'd have been awkward
I see.
0.0
Organic Chemistry & mathematics is lobe >:
did anyone study aerospace engineering here?
Yo
@mint breach do you still need help with #help-30 message ?
cc
if the eigen value of a linear transformation is a complex number, then how can we visualise the transformation ?
I was sure I closed the channel, Im very sorry that its staying up!
No I do not require any help
There will be a rotational component
if it's a matrix with real entries, then there's a 2D subspace in which the action of the transformation looks like rotation + scaling
at least in an appropriate basis, which may not be orthonormal
there are lots of 2x2 real matrices with eigenvalues +- i that do not at all look like a rotation + scaling in the standard basis
Somehow got kicked out of my old account so had to make a new one
@indigo jungle you'll be forever missed
Would the 2D subspace not have to be in C? Or would it look like rotation on R too?
it would look like rotation in R
ahh oke
also hi tcc
you can block diagonalize any real matrix (diagonalizable in complex numbers) into 1x1 and 2x2 components
the 2x2 components will be rotation/scaling
this works because the complex eigenvalues/vectors will just be conjugates of each other
do you mean normal real matrices
(those that commute with their transpose)
otherwise i think jordan blocks will stop you

Complex eigenvalues be like
yo
I'm assuming the matrices are complex diagonalizable
can u guys help me with a doubt
i see
I don't really get complex eigenvalues either
hmm whats that
But I assume it has something to do with the skew symmetric maps defined by bivectors
Ooooh that's really cool, thank you!
yeah the trick is to take linear combos of the eigenvectors to get their real and imaginary parts, which will give you a 2D subspace spanned by two real vectors
that will still be an invariant subspace
if it's a math question, try the help channels!
thanks i did got help
any homeschoolers here?
Can someone please answer my help post
<@&268886789983436800>
Please don't advertise your server here 
Also hiiiiiiiiiiiii
hope you've been good today 
<@&268886789983436800>
I was writing the mute message as you pinged lol
People not second thinking what they use for their pfp
Hiiiii
yes, im good today and I hope you are too 
Happy that you're good
I have been too, mostly chilling and being lazy, can't complain 

No I think it was quite deliberate, pretty sure they were either trolling or going to start advertising porn
Imagine having the free time for trolling
Mind you, there once was someone who had quite a... "questionable" pfp, but otherwise seemed quite chill and genuinely not trying to cause trouble 
I can remember being a child and/or a fresher yes
fair enough bc chilling is understandable
Annoyingly though, I've tried to do stuff today, but it seems that my boards and memory cards don't wanna be recognised by my laptop for some reason 
that is indeed annoying. hope you can get it working soon 
or buy a different one 
At this point, I don't even know, I tried checking the SD card with my phone and it doesn't seem to mount there, so I don't even know where the problem lies 
Might as well just replace everything 
meow
yeah sometimes replacing everything is the only solution left 
I swear if I did that, and everything new still didn't work, I'd be so furious 
If I’m being entirely honest, I was just joking.
Welcome to the server @dry geyser
Hey random question, I want to study math by myself but I have a hard time generating hard math problems (linear algebra, derivatives, series, multivariable-calc, etc) Do you guys know any good free materials for that? Like a program or something that generates them?
Please @ me, I am terrible at responding otherwise
@grave axle
There are great resources online that I forgot the names of....
you might find luck in #book-recommendations . the pins there also have some resources you can check out
Given the vastness of the universe, it seems likely intelligent life should exist elsewhere, yet we have no evidence of it. Why do you think we haven’t encountered signs of extraterrestrial life yet? Do you believe intelligent civilizations might deliberately avoid us, or that they may have already visited unnoticed?
Thoughts?
Fermi alt account spotted: https://en.wikipedia.org/wiki/Fermi_paradox
The Fermi paradox is the discrepancy between the lack of conclusive evidence of advanced extraterrestrial life and the apparently high likelihood of its existence. Those affirming the paradox generally conclude that if the conditions required for life to arise from non-living matter are as permissive as the available evidence on Earth indicates,...
Could someone help me out on #math-discussion
We're not looking in the right place. Intelligent life exists in our oceans, and makes frequent contact with us, but we ignore their communications and attribute them to "extraterrestrial" life which doesn't exist. I believe there are possibly several dozen uncontacted maritime civilisations, a species I call pirates but of whose nature I am, I'm sure you'll understand, a little unsure.
The Sea Peoples were a group of tribes hypothesized to have attacked Egypt and other Eastern Mediterranean regions around 1200 BC during the Late Bronze Age. The hypothesis was proposed by the 19th-century Egyptologists Emmanuel de Rougé and Gaston Maspero, on the basis of primary sources such as the reliefs on the Mortuary Temple of Ramesses I...
Also I like Douglas Adams's explaination that intelligent forms of life are intelligent enough not to let humans find out about them.
option 1. the universe is too big. The distance between planets is large, solar systems, exponentially larger, and galaxies yet another order of magnitude larger.
option 2. we assume faster than light travel exists, and we assume life has the same qualities everywhere.
It would still follow the patterns of biology - as soon as intelligent life evolves, intelligence is the superlative competitive advantage. It depletes all relevant resources around it exponentially, in the course of that depleting all other potentially evolving life of those resources. It is a destabilizing competitive advantage, which destroys the ecosystems, geological systems, weather patterns, every aspect of the environment, because the magnitude of the feedback from it's presence fundamentally disrupts the local environment. It tragedy of the commons the entire ecosystem, and suddenly no longer has the environment it is adapted for. It would probably ask itself fundamental questions about the purpose of birth rate, limitless growth, etc, as it grappled with it's own lack of fitness due to altering it's environment due to it's over-fitness to the previous environment. Probably way before it colonized more than a few solar systems. It would either destroy itself, or it would mature into a more stable pattern of development as a species, with advanced philosophies of ecology, environmentalism, anti-natalism, and genome stability. It may come out of that with some kind of enlightenment, which may include a complete absence of desire to engage with other species.
option 3. we assume faster than light travel exists, and that life does not have the same qualities everywhere
literally, who knows?
there are a lot of other options actually
like, for option 2
could be the dark forest hypothesis
(e.g. intelligence benefits from hiding from other intelligence, and instead just keeping total dominion over it's domain of non-intelligent environment)
Dyson spheres: https://www.youtube.com/watch?v=fLzEX1TPBFM
I found pdfs of a bunch of these papers so I will just link there:
Original Dyson paper:
https://epizodsspace.airbase.ru/bibl/inostr-yazyki/science/1960/Dyson_Search_for_Artificial_Stellar_Sources_of_Infrared_Radiation_Science_131_(1960).pdf
Cited Nature Paper:
http://alpha.sinp.msu.ru/~panov/Lib/Papers/SETI/184844a0.pdf
Cited Science News:
ht...
ya this dark forest
I think it's far, far more likely that limitless growth is just something intelligence questions at some point
and as soon as you do that, even with faster-than-light travel, it's like eh
Let me quote Douglas Adams again:
For instance, on the planet Earth, man had always assumed that he was more intelligent than dolphins because he had achieved so much—the wheel, New York, wars and so on—whilst all the dolphins had ever done was muck about in the water having a good time. But conversely, the dolphins had always believed that they were far more intelligent than man—for precisely the same reasons.
it's a good quote
amazing quote right there
I'm kind of hoping the truth isn't just that self-destruction becomes guaranteed at some point
that's the darkest one imo
also honestly the most likely
you give everyone on the planet the supervirus, then what?
Nah, whatever about the last few years would have made this a plausible scenario
1 USD thank you planet nuking supervirus
it's just technology. Without cultural, philosophical, and honestly biological advancements keeping pace
what can be done?
we should all have 0 libido and extremely suppressed emotions
I mean cancer just wide spread could be termed as supervirus if it was widespread
but here we are, screaming about our balls and pointing at our nukes
Meanwhile my freshman literature professor on the subject of dolphins being the only animal besides humans who have sex for pleasure:
"I don't want to be noodling up next to those big smiles..."
Yeah I read some... dark stuff of those fancy dogs
the three body problem series is really good, cixin liu
it tries to understand the situation
oryx and crake, also good
i imagine he has this from john c. lily via alan watts, why do i think so? well: https://aliceffekt.bandcamp.com/album/superworker


idk messing with human nature without an extremely thorough understanding of the consequences seems highly questionable
but we do need less emotional leadership at the least
or leadership less susceptible to human foibles
also idk about you but i like having emotions
Arbitrary
?
human leadership needs emotion to work but they need to be well manged emotions
leadership requires a certain level of vulnerability
Whats maths all about
hi discussy
oh what's the context
I don't believe it
It's not like weve discovered every species
Also what a strange conversation to stumble upon
Also who is monitoring them like that
my code works now!!!!!!!!
It will stop working in an hour
Does anyone know how to do statics here?
Rub your feet on the carpet
Not that statics 🥹
Unplug the RCF from the TV
I mean the one that deals with forces acting on bodies in equilibrium..
Yes, what’s up?
I’m assuming in october you’re probably doing moments, equivalent systems, two force members etc?
@fresh comet Do we agree @velvet dagger has good handwriting
@junior veldt I read your blogs, they were a nice read
idk... I bet it only looks like this because he writes slow
because he's a sloth
get it
No it's not dont lie to yourself
Good, i wish professors could write slow like him. I can't keep up!
im a bit annoyed bc I tried to go back to my app and I remembered that npm install takes ages
I think I broke my sleep schedule again 
wbu
Right now we're just doing 3D vectors. Classes just started last week. I've been trying to figure out this problem for hours.
It's in the help forum
Hello
LMAO that's my analysis prof's handwriting not mine
This person's handwriting is known to be a strain to read lmao
Though the prof is goated, this class (measure theory) was one of my top 3 favorite in undergrad
My handwriting is better when I'm writing slow and... Probably still better when I get rushed but is definitely rough






