#serious-discussion
1 messages · Page 217 of 1
Hi
but pretty much every european town (that was founded in the middle ages) is named after some landmark feature or other geographical information
mine is named after a dam in the river
you also have places named after economic use, but in the middle ages this is usually related to some geographic feature anyway
Guys can someone tell me how can I plot graph of a function using graph plotter
Low quality bait
I will tell you if you stop posting every question to 5 different channels
What is a crank btw
someone trying to do research math but doing it incorrectly and with no formal training, usually claiming they solved big unsolved problems
Ah I thought it was just a person being an asshole
we have a prime example going on on this server right now
#math-discussion message
check this guy
Mathnerd99
That is quite the name
It pays to advertise
Mathematical Cranks is a book on pseudomathematics and the cranks who create it, written by Underwood Dudley. It was published by the Mathematical Association of America in their MAA Spectrum book series in 1992 (ISBN 0-88385-507-0).
no im the product
Ig I gotta experience more cranks to understand them
Well, you're in the right place to encounter them
we had a riemann hypothesis crank a while ago who was also convinced that someone here was gonna steal his $1m
😭
Your kidding surely
Nope, that's very often their stated reasoning for not providing any details of their breakthrough
There's no bounty on Collatz so they tend to be more forthcoming, although even then they often express concern over someone else taking credit for their accomplishment
they also started deleting their messages on this discord server lmaoooo
😭
istg these $1 million prizes have done more net harm than good to the public's view of mathematics and to mathematics practice
all it's done is attract dumb narcissists who know jack shit about math to public forums like this
as well as to math departments irl
I've met my share of cranks lol
Not sure if they have a term similar to crank in comp sci..
thus far i have (irl) been completely free of cranks
how is it typically
but thats probably because im at a university, would be weird if there were active cranks studying
vibe coding
That’s it
script kiddie is another term, more from vintage hacker culture ig
not sure if it completely captures the delusions of grandeur a "crank" has though
I'd picture something like a non-technical startup techbro dude in founder mode
or elon lmao
real annoying
there was this one dude who managed to graduate undergrad claiming to have an elementary solution to poincaré's conjecture and RH or some crap
kept pestering profs and boasting to impressionable freshmen (hence why I'm inclined to say this whole thing has been net bad for academic culture)
and there was some other dude in my cohort who clearly had some kind of paranoid schizophrenia I was legit worried for them lol
but did my best to ignore them otherwise
😔 I mean best leave them be
Script kiddie as well yes but I think vibe coding is more crank like from your descriptions
my roommate is a sort of successful vibe coder lmao
not far off but still not 100% I think
at least he knows his stuff regarding backend tech and the gnu/linux ecosystem
but he uses agents in an absolutely ridiculous way
I don’t have gripes with vibe coders tbh some are good it’s just they don’t get paid enough to care he writes shit code because middle management can’t tell the difference and the more he fixes the higher the pay
lol
He’s a fucking genius 
from the creators of vibe coding, vibe tech debt
Not into ai that much so pray tell what an agent is
Is it just like a mod you install on the ai? To perform better like prompting
not really, it's a vague descriptor for an AI product that can perform tasks autonomously
So automation for certain tasks? how’s that beneficial
so something like "here's this spec and here's my codebase, please implement features A, B and C and some tests"
stuff such as https://docs.cursor.com/chat/agent
I tend to avoid these things but I’m curious so
I don't use it since I don't really code for a living lol
I mean what do you do
but I've been wanting to try out some new IDE for LaTeX and numerics stuff
rn I'm starting an applied math PhD
They got replay demos of prompts
ngl i doubt that it's the $1m that's the main cause of cranks
like just look at the joe rogan podcast & terence howard
or like all ur anti-vaxxers
i mean overall, i think the millenium prize problems just mean you have the random crank in an obscure corner of the internet where most everyday ppl won't see them
especially cus it's a lot easier to be cranky about something like 0.999... != 1, which most ppl will have encountered at some point rather than
"i have a proof of BSD" which like no one in the general public will even understand lol
yes, even the concept itself predates the millenium prizes by years and maybe decades https://en.wikipedia.org/wiki/Crackpot_index
but $1m is a huge incentive
lmao i love this
vim 🗿
I always took "script kiddie" kinda literally, as in some petulant child who learned how to download Kali Linux or google scripts to do things and then just annoys people and boasts about their skill
Hacked account.
When speaking about script kiddies, I often think about children who paste stuff into the browser’s console
Isn't that exactly what they are?
Can’t sleep but I’ll add to this.. typically when I think of skids (script kids) today it’s like flipper zeros and thinking they’re hackers
Or like watching one Kali Linux tutorial
That and ppl who cheat in video games
yeah this is kind of the point lol
it's how the term came to be
finally learnt about lie actions homogenous spaces and principal bundles
so easy and elegant. the only boring part was proving that if G is a lie group and H is a closed lie subgroup then G/H is indeed a smooth manifold. from then you can prove things are smooth much more easier now. k grassmnian is O(n)/O(k)xO(n-k), ETC
cool
yess
bro it was so fundamental like ikd why they dont teach this in high school
have you learned about how this relates to characteristic classes?
SO(n) literally acts on S^n lmao obviously
no not yet! i barely defined them in chapter 5 in milnor and stasheff
lmao this is funny cuz
there was this basic problem to show that the grassman manifold is a smooth manifold
u can do it easily by just looking at the chart milnor gives and ccomputing things locally
but its boring and painful. i learnt this just to be able to do this problem in 1 line
yeah im still at the beginning where i proved that any bundle admits a map int othe infinite grassmanian
and the characteristic class is the cohomology class induced by this map to the base-space
BASED okay yeah you get the picture
yeah and now it motivates me to
complex oriented cohomology theories soon 
learn how to compute the cohomology ring of the graassmnian. so the next chapter tries to build a CW complex for the grassmnmian and then (probably?) computes it using cellualr cohomology
but then i saw this problem of proving that the grassmnian is smooth and i was like.. yeah
yeah sometimes the Grassmannian models are annoying to work with and it's nice to have some other ways of working with these classifying spaces
yeah i mean doing things in coordinates is always boring and painful
even with the simplest cases
the fact that u can just say Gr_k(R^n) is just O(n)/.. is so cool honestly
cuz there si a principal bundle O(n) --> V_k --> G_k
O(n) acts transitively on V_k
crazy how the orthogonal group do that
yeah bro once one looks at pi_n and draws these things it gets voodoo quick
like that famous table with the bott-periodicity one
for pi_k(S^n)
these patterns are just
too in-human
well yeah in general the homotopy groups of spheres are like, absurdly complicated
yeah this was in hatcher
one has very good control over the image
but yeah this only gives you information up to height 1
yeah
cool magic bro
also u might know htis
do i need know about srs homotopy theory to learn about spectral sequences
not really
i have been told that ih ave to learn them asap
most machinery around spectral sequences is homological algebra
they are incredibly useful yes
cuz alot of the homology theories that i might learn use them extensively (khovanov lee stuff)
yeah it's kind of hard to do many computations in homological algebra without spectral sequences
i see
is hatcher chap5 the standard reference for someone who wants to do it for topology
or is there a better one
look at the relevant chapter of Weibel's homological algebra
Hatcher does a decent job too but it's good to get this from a textbook specifically about homological algebra
i see
just focus on learning how the spectral sequence for a filtered complex works that is good enough for most applications and it's the easiest to motivate
the motivation is just like, the main trick of homological algebra is to turn short exact sequences into long exact sequences in cohomology
but what if you have a filtration? Well you can break this up into a bunch of short exact sequences stacked together
how do the associated long exact sequences stack together then? This is what spectral sequences organize
yeah thats what iread about in an article called you could have invented spectral sequences
yeah great article 
its like telling u if you have a chain complex where things factor out as direct sums u could have like just computed homology there and then direct summed everything
and then it tells u that doesnt happen but filtrations happen more often
oh u read it
yeah
alot of hype around it tho and alot of ppl say its hard so
but yeah in practice the hard part is computing the differentials in the spectral sequence
but half the time you will be in some situation where like
the spectral sequence instantly degenerates or it degenerates after a page or so without having to worry about unwinding all the definitions for differentials
i see
brings me back to hs days where u would hope the integration by parts doesn't go long forever
same vibe
hes a mod bro
lol I am not
or was?
but also this is quite the reaction to a
react
nothing more than like "hmm puzzling" it's not an insult
no lol
mostly just like "what was the train of thought that gave rise to this question"
okay
you seem to be looking for an excuse to pick a fight and be offended
not sure I can do much about this
I still crave an "accurate" picture of this knots and primes analogy
one can only draw cartoons 
Depends how low you get; since zero-dimensional topology is just the Cantor set.
the cantor set has a pretty cool pic
An excellent set to be sure, but I'm not sure you can get many fancy graphs out of it.
just the construction one isn't that bad
given that is the lowest on the food chaiin
haha

Is the infinity strait or curved
Can we see in 3d?
Is the univers expanding
WHats a gravastar
Is it possible to travel in speed of light
Can you bend the time of the univers
can you slow someone down travelig in an infinity speed
how hot can something be
,w planck temperature
They are the mystery of the world....
what?
yes
yes
what
no
yes
no
its weird
Can we see in 3d?
,w sqrt(c^2*h/G/k^2)
some people can't
THink about it, if you got a cube that got nothing on it and the same light, traveling away from you and at the same time expanding, you wont see thats its moving away from you
And you wont see the depth
I know this may be a dumb question , but is physics very related to software engineering?
it's abour 1.416e32 K
everything is related to everything to some extent
good thing this doesnt happen
I really hate physics
hi chat
no...
I thought software engineering was probably the one who had the least amount of physics to it
what
nothing with positive mass can travel at or higher than the speed of light
So...there isn't any future for somebody like who loves math and hates physics
No major
Negative mass always travel faster that light and there for we cant see that, like a model with inverted faces
(If you know modeling)
negative mass
what?
yes i believe this is true
however it is unknown whether negative mass can exist in our universe
black holes do not have negative mass
@unborn meteor what are these majors like?
Same here
We need to do vacum basiccly infinity empty
why?
Do you know of anyone ?
we already have that
Nvm
no
ask in a different channel lol
I tried in discussion 1
econ? compsci? pure math? lots of paths use math but no physics
nothing can travel at infinite speed
Do they lead to good majors ?
Hmmmmmm
Yeah pure math for example
wdym
Idk about econ , compsci
Can you bend the time in the unverse, like to black holes bend the time around then to go slower?
yes
time dilation exists
you make everything else move faster than the black hole
this will make it slow down from your perspective
But can you bend this plate so it will to a 180 turn and go under itself?, like a 90 degrees rotated "U"
no one knows
it might be possible
or it might not
Then we can timetravel
no
wormholes are not time travel
it is impossible for humans in our current form to time travel
but if we did as I said, and then made a tunnel between the 2 sides
But is negative mass mass that travel backwards in time?
it's kind of like increasing the speed of light in that place only
if i remember correctly yes, that's one of the problems with making wormholes
Yeah
any more questions?
Will the univers shink down again?
Like shrink to a small small ball and have big bang again?
Well, whatever it does, we won't be there to see it
Unless it's scheduled for next week and I just missed the memo as usual
we think it probably won't
but it might
Haha
Yeah
Now its time for me to practise francais
au revoir
Why
Je suis un fatigue et il est neuf heures
Oh no, Au Voleur!
Why not just block them?
YEah, cya later
It seems you two don't get along.
blocking ng is a crime actually
Surely you see there is no point in silly little image reactions causing so much trouble between you two.
They can't react to your posts if you block iirc
mama mia
I feel like it is equally unfair for you to single them out and I think there is a pov where you singling them out like this can be considered bullying too.
What I want is a solution in which ya'll aren't pissing each other off and making things toxic here
I'm telling you what I want.
I think you jumping to the assumption that I mean this in bad faith is pretty unfair.
you are tilting at windmills
Lets not make this worse
Is the solution here for both of ya'll to block each other?
People can disagree, dislike each other whatever. It happens. I'm sure you guys have whatever reasons you have. I just want to avoid toxicity here. What plan gets us to that?
Reposting the same thing is not helpful.
Ng has a right to disagree with you. This is a public space and the things you post can be criticized within reason.
The first and last two are not so serious.
Last one is vaguely shitty. Idk which react that one even is?
I like how you discovered the word filter but didn't pause to wonder why it's there
Eh, I get why they are evading it here.
Okay, so why don't you just block them then? You're not gonna magically start being best friends or getting along?
Don't tell me what to do.
I'm asking you to help me figure out a reasonable solution.
Small reactions are not this serious.
No I'm not. You're making a lot of claims about what I said that are definitely not things I said.
I saw the previous dms as well.
Okay, in the real world, adults tend to not interact with people they know they have problems with.
Adults also tend not to make small issues that waste many peoples time over relatively innocuous things.
Okay, we are not in school.
Okay, this isn't a university?
I think some of your behavior counts as bullying and threatening.
I don't appreciate that.
You need to be reasonable.
I'm giving you a chance to do that.
School of hard knocks
The idea here that we should just silence ng because they might react to your posts in ways you dislike is just stupid.
if you block someone, they cannot react to your posts, by the way.
@onyx holly i think this is a solution that you might be happy with.
Okay, @vivid halo I would appreciate you no longer interacting with this user. Would you be willing to block them?
And you likewise?
way ahead of you on this one
Okay, so then block? Obviously nothing good comes from you two interacting.
No, I think you should also block.
you have to block him for that, is what I'm saying. if you right-click their name you can do that.
also please stop evading the automod filter
if you block him then he will not be able to. that's why i am proposing that you take this course of action.
Yeah, it shows as a blocked message but you have to manually open it.
You can't react to ppl who have you blocked though.
If nothing else this is the sanest next step.
I literally do not care
no one is trying to pin anything on you. we are just recommending that you block him so that it makes it harder for him to react to your posts with things that you don't like
then just block me and leave it at that instead of making a federal case out of it
At some point this does become a you thing.
At what point are you targetting and harassing ng?
Has ng ever threatened you?
You've threatened them.
Seems kinda shitty to sit here and act like you're the victim while simultaneously threatening people.
Yeah, I'm tired of this lmao. You're no longer welcome here. Cya
yeah that's one solution
I'm not seeing how someone adding a reaction to your question because they find it amusing or silly or whatever warrants this sort of reaction
hell hath no fury holy moly
Such a promising career so prematurely ended
welp that settles it ig
nooo you don't understand the server staff must side with ME and prove me RIGHT
mods please ban well known TROLL ngroupoid
I'm so glad I started reading the mathcord again today
Yeah this was entertaining as a bedtime read
I mean, my condolences to all the mods whose time was wasted by this
meltdown over a single :hmm: react…
But in the abstract it was quite entertaining
nah I'm with gomez on this one
kudos to smay and doot for actually doing their job as mods
The mathcord sully gang claims another victim...
o the oppression
What promising career....
I was not being entirely sincere
I'm surprised it's so late for you. Hope you have a good sleep!
Europe. Won't sleep for a while still, have some things to read but got distracted by the drama haha.
damn i missed it

Same
same tbh
Three years ago I came onto this server asking for help to estimate how much money was in a large jar, and I got my thread shut down saying it wasn’t the “math we do here”. I’m still salty about it because I think it’s literally math, idc that u think it’s some weird kind of math, it was estimations which is MATH. I think the moderator shut it down bc I said if I got the closest number to the real amount I’d get a donut. I’m still salty cuz I don’t think it was fair. I wanted to tell somebody
Ok
Did you ever get the money
No I didn’t get the donut and the amount was like $400
Yeah it was literally math who would shut down the thread. I think the moderator just didn’t want me to succeed in life
it's Pi Day !
you mean pi/2 day!
Servers change over the course of time, if someone was an asshole to you back then, the chance that the same person may treat you the same way, let alone still be here is reduced. The probability is nonzero, that said person is still around and would treat you the same. Now instead of malding, get over it and continue doing maths.
360° are pi radians!
Hi guys, been using this fuckass textbook for physics called “fundamentals of physics” by Halliday. Can anyone recommend a good physics textbook for first year uni students that goes very in depth, with a good range of exercises and rigorous proofs?
Omg I wasn’t even mad I just wanted to tell somebody a funny experience that happened 3 years ago!!!!!!!!!!!!!!!!!!!!!¡¡¡
Salty. That’s it. Have u ever heard of those stories that people tell that are like “what’s a grudge you still hold after a long time?”
Yeah! Was just sharing a fun little cute story!
So I think I’ll continue telling funny stories from the past AND doing maths!!! Yay!! How fun
ur so real i understand this so much you tell your silly stories pal
For real.
You explicitly said "I'm still salty cuz I don't think it was fair"
I this directly implies that you're still holding a grudge
Yeah I do hold a grudge! Sometimes people just hold small little grudges against something that happened a long time ago. Doesn’t mean it keeps them up at night, just a funny little memory, you know?
To be salty is to be upset over something “little”.. so yeah, I explicitly said I hold a grudge over something little. Nice!
I just don’t think it’s that serious. Like it’s not a bad thing that I hold a funny little grudge and it’s not like I’m calculating the probabilities that this is going to happen to me again because I am tweaking out at the thought of it.
So I just don’t understand ur initial comment. It just gives me the impression that I’m not allowed to reminisce about the past and funny little grudges that I hold, and that I should “move on” 🤓🤓. Like it’s not that serious. I think it’s fun to talk about funny little uptight people on math servers that you interacted with years ago!
Yay!
What am I reading 
that nonsense was super uncalled for don't worry about it
I do think there's an aspect to discretion which can suffer in an atmosphere of continuous rigor
so like this server holds many good examples of people who are probably chill but don't code-switch with perfect appropriateness
LMFAO
Ok fine
I get it
I had a phone interview this evening and it's possible I came here just to get more rigorous discourse
like cause I know I'll find it here
I love to feel the pressure to be accurate
am I terrible for the social vibe? probably
or perhaps I will bump into another and we will unite in a perfectly rigid discourse
Yes your texting seems pretty professional
do it tho
Maybe I just don’t understand the vibe of this server
it is best used as a tool to answer technical questions and everything else is wildcard who even knows what ur gonna get
Yes I suppose I just figured Discussion would be casual and chill
It can be. #chill is underutilized imo but it supposed to be that
this is supposed to be casual, but it's also host to a lot of debates which are undertaken with the aim of actually being correct or establishing something
Okay well I’m still open to debating whether or not I should move on from a funny memory years ago and not talk about it
😈😈
it's a good debate. the inner debate is interesting, I'd be annoyed if that got shut down because like, I think that kind of math is the kind done here. Perhaps more appropriate in preal-and-algebra but it's still within the domain
it's a little young and all but imo it's jerkish to turn off somebody asking basic math questions
I don't think that would happen now
Yeah I think they just assumed I was like fooling around or something? Cuz it wasn’t anything explicitly you write down maybe
helping people formulate is one of the many things this server should do
I mean I get it, it's cookies in a jar. Presumably you get the volume of a cookie and the volume of the jar
And I needed to guess how much money was in it
I'm hungry
Yeah it was honestly a lot of money
In a smallish jar
I guessed $80 and it ended up being $400 or even more
yeah if you still care to explore the problem you can. I'd just average the volume of a coin and then the volume of the jar, maybe put a fudge factor in there for airspace and say it's 75% coin 25% air
like V(jar) / V(coin) * .75
ohhh way more interesting
it'd be pretty easy to just average the value of any amount of space though
I would make try to count how much was in a fingers length
And then just multiply that amount by how many finger lengths there are
Idk
I think you could alternatively make a conversion factor for each into value / cm^3, and then average across them by ratio. So you've got some one average value / cm^3.
you'd need to know the distribution though
Ohhhhh
like 10% dollars 10 % nickels etc
then you could say each cm^3 has some average value
Like if there’s 4 nickles 5 dimes and 9 quarters just average all those amounts together and then use that
yeah. So you'd take each one's value / cm^3, average them all together, and then divide the total volume by that.
Could u do that with just a picture
can you see the top layer of coins?
I think it was like a side view
could assume that the distribution is the same throughout as whatever it is in the view you have
if they're assorted randomly in the jar then it's a good bet
Yeah
Wow
I’ll keep all of this in mind when the opportunity arises again
They won’t see me coming
lol and you'll run off with all the coin
if they give you the option, shake the jar first
try to randomize the view you have, so it's a good representation of any slice of the coins
shake the hell out of it and demand they acknowledge you're just doing math over there
I hail from america
does he? he's so focused on who's here now
veterans and old people and stuff like that
oh yeah he does think canada should just merge
Facts
But then it would be kinda hard for a republican to win again
Unless we didn’t get voting rights
Cuz there aren’t many republicans in Canada
yeah he probably won't do it then
but it's kind of a cool thing to say
like that's so big
there's not a lot of country mergers in the western world these days
musk will advocate making the Moon the 52nd state and that'll be even bigger and hit hard enough to keep us steady until the apocalypse
America region 16
🎉🎊🧮🎉🥳 🪅
me when i say things that are untrue
happy pi day
well π=6.28... so I'm not sure what's untrue here!
Anyone on?
people say pi is irrational even tho its c/d 😔
i understand the pi day hate tbh
really?
I'm indifferent to it tbh
I hate that we lost the spirit of pi day in all the commercialization
also 22/7 is a better approximation so we should be celebrating in July
also i get to rant unapologetically about whatever i want mwahaha
i just tried to give some idea of a tesselation of the hyperbolic plane to a bunch of non-math peeps mwahaha it was fun
Before pi day existed I remembered deflating people for fun by aking them what pi is and when they start rattling off digits I stop them and say "no not the value, what is it?"
I don't waste my time being so annoying if I can help it these days lol
I might care if 3/14/15 was treated as a bigger deal
It was treated as a very big deal
i don’t think i had developed a consciousness yet, in 2015
I want to publish something on arXiv but need an endorser. Is there anyone here who can do that?
No
You can't or nobody here can?
If you are in undergrad, you should find a faculty member to do so
I recently graduated with an MS in Math (last December). I emailed one of the professors, but they usually seem busy.
Also if you create your arxiv account with a university email usually you don’t need an endorser
I assume I can't change my email address back to my personal email if I do that?
<@&268886789983436800>
Had my finger on the ban button
mods, smite this man
I got it.
If you're talking about me, I don't know which rule I broke.
Nah said person is banned
Oh, okay :)
hi sloth!
@vivid halo Here's the representation im thinking about.
Write z = Re(z) + Im_i(z)i + Im_j(z)j + Im_k(z)k to denote a quaternion. Write Norm(z) = z•\bar(z)
We have 5 real valued functions Norm, Re, Im_i, Im_j, Im_k : H -> R. We can multiply them pointwise to generate a real polynomial algebra (which will be a real subalgebra of the continuous functions H-> R) . Note that Norm is the sum of squares of the other functions, so this is isomorphic to a polynomial ring in four variables, with real coefficients .
Let k be a fixed positive integer.
Consider the real vector space V_k spanned by the functions Norm^l • Re^r • Im_i^s • Im_j^t • Im_k^u where l, r, s, t, u are nonnegative integers such that l+r+s+t+u <= k. I claim that V_k is a right representation of G = GL_2(H) given by f(z) \mapsto Norm(cz+d)^k • f((az+b)/(cz+d)).
I believe I've checked V_k is G-invariant, unless im making a fatal mistake...
It's by definition a finite dimensional real representation.
Is it irreducible? What is its dimension?
well how much do you understand about representations of Spin groups?
I would first try to understand what is happening with SL_2(H) where you can use these facts about Spin representations, in this case for Spin(5,1)
Nothing

There are 2 complex linear irreducible representations of Spin(5,1), each of complex dimension 4
So essentially, they are two irreducible representations on H^2 , right?
yes
oh, so it's much more chill in here 
discussion 2 is my fav channel

Aren’t there infinitely many?
Oh wait
i want cheesecake 
Hi Matt
I want to have the entire catalog of fpga's from Xilinx in my house so I dont have to do ssh remotely and ask someone else to reboot the board when I fuck up
but alas
we cant have everything we want
it has seen quite the renaissance
when is the early modern era coming
just gotta wait and see
I automatically thought of eine Kleine Nachtmusik when you mentioned the Renaissance
oh? why?
idk why exactly
I was a bit confused since Mozart lived some 2-3 centuries after the Renaissance
I know and that's the weird bit
Hey there, Im not sure if this is an appropriate question in this channel but I wanted to ask most mathematicians here. What do you guys write down on paper when solving a question? Its very silly but I want to know that if your given a problem to solve then how do you try to solve it? Do you all do mental math in your head because it comes naturally to you? or do you guys actually write stuff down to solve it? If its the latter part then what do you write down or how do you start in order to understand the question and solve it? I usually just enter the formula and call it a day but this gives me a disadvantage when solving more complex questions that only geniuses in my class solve. I wanna know how you guys do hard and complex questions like these? (Im sorry if you don't understand this, I only started learning English a year ago so Im not fluent in it)
how can i message mod mail?
thank you higher 
I personally try to break down the problem into smaller parts and I try to identify what I know about the problem. Also, it's a good idea to figure out different ways to solve a problem to be able to find a better solution
i usually start probing with examples to get a feel for the question
<@&268886789983436800>
Ah so you do the strategy of divide and conquer!
I will try this with my practice questions
What are the questions about?
I am doing probability questions, I got the formulas but Im trying to understand why we're actually using the formulas instead of just putting them in
guys, lowkey new to math (like used to lowkey hate it type new) and recently stated doing integrals because of a bet that i couldn't and now i like math but idk where to begin learning anyone got any tips?
What's the highest level of math you're comfortable with/what topics are you familiar with?
ill give a half answer to this question, obv is very helpful to write things down and have good presentation etc etc for exams
but dont neglect the ability to think about math and to have some mental image, some intuition rather than just symbols on a page
its a great exercise of working memory and also lets you approach harder problems by thinking about them throughout the day when say youre walking around town not at your desk
grade 10 maths, like were at sinus and cosinus, i'm ok in triangles but i'm slow asf in solving stuff, my brain is slow in general
I would suggest checking out khan academy for fundamentals
And some helpful youtube channels you can check out: MIT ocw, michael penn, organic chem tutor, dr. trefor bazzet, professor leonard, black pen red pen
bro gave her the sauce
MIT ocw however deals with math that's ug and beyond, among other uni courses
i owe you my crayons <3 tysm
No problem!
lowkey a her
mb mb
u good
Thats nice advice, thanks I will start thinking about my math problems when Im in the bus :v
same, except problem idk any math problems i could think about 😭
plenty of sources of questions out there !
idk what channel this would go in but if i had two functions f(x) and g(x) and f(x) grows asymptotically faster than g(x), is f(g(x)) vs g(f(x)) faster growing or do you need more info?
need more info
f(g(x)) ~ g(f(x)) ||x^3 grows asymptotically faster than x^2 and (x^3)^2 = (x^2)^3 = x^6||
g(f(x)) = o( f(g(x)) ) ||e^x grows asymptotically faster than than x^2 and e^(x^2) grows asymptotically faster than e^(2x)||
f(g(x)) = o( g(f(x)) ) ||x^2 grows asymptotically faster than e^(-x) and e^(-2x) grows asymptotically faster than e^(-x^2)||
how about increasing functions
this is really unintuitive to me cause i wouldve thought the growth rate is all the matters
the first two example are both with increasing functions so its still not enough to tell
there may be an increaseing function that would be an example for the third case idk
i think n! and 2^n works
but like they grow kind of similar
i wonder if one function can grow so much faster than the ot her that you can say
idk how to formally write it thoguh
Consider sqrt(x) and log(x)
wondering how i can build a career from math and cs. constant news about things being harder in the education/job market is stressful 
although im just in calc 3, lin alg. need to take life day by day
AI
If you’re 200IQ you can try quant
yeah
im double majoring in math and cs (cs with track in AI)
If you like stats classes you can become a pro gambler
If all else fails you can become a software dev code monkey
true
So you have plenty of options
i do, my career does have a lotta options
Why not
Have you tried to do stats even
It’s so useful and tremendous
I used to ask random questions in math discussion.
I see that every question of them would have been answered late in another room.
I appreciate that
Was good time
I thought math-discussion was a room to talk about maths
But it was for high-maths-discussion
Gambling addict or homeless CS major
The choice is bleak.
on the way there, you'll either lose your social skills, suffer from a horrible caffeine addiction or become a raging alcoholic, or all three
Amazing
or
homemore CS minor
Hey guys this is my first message on this server and i've come to ask if there are any coders and/or mathematicians niched into quant and real estate, I recently sold my first business for around £20 million and am working on a new venture.
This new venture is centred around real estate and blockchains which then will be the pillars of data for my quant arm, any coders or mathematicians here willing to join or can lend a hand, willing to offer equity,
A bit about me: 2nd year LSE student studying Data Science with Maths, very interested in quant. Please feel free to dm me if you're able to help or have any questions!!!!
you actually got or just sent it as a meme lol
@tiny onyx what is your current class?
Pause
<@&268886789983436800> advertizing survey
Don't advertise your survey here
Why We Derive.
[VERSE 1]
Let’s look at the function, f of x,
Taking the derivative is what is next.
Using power rule for the exponents,
The product and the quotient for two and more components
Maybe you could use the chain if that’s the way,
Maybe multiple rules needed if that’s what you say,
Sometimes it could just be memorizing the identities
Trig and logarithmic and so more may just be what’s the key.
[PRE-CHORUS]
And if you ever ask why we derive though,
It’s the speed of the function, for that’s what we strive for,
And if you ever ask, how to apply it,
Start with the point slope, that’s why you derive it!!!
[CHORUS]
Velocity… acceleration….
The min and max… of the function…
To higher maths, it is a station…
Continue on… to the Calc nation!!!
Why we derive, so to arrive,
That we survive, Calculus time,
Oh should we stay for, deriving way more,
And Calc is honest, struggle’s a promise!
[VERSE 2]
Understanding what each formula states,
Is important for the memory and for your fate.
Bringing back the formulas, we can stake,
That half of them are simple and other are a piece of cake
Plug in the numbers, for powers and the others,
Crackin’ the numbers, for product and the brothers,
Putting the functions, and using the chain rule,
Checking that you do it right, making use of all the tools.
{GO TO PRE-CHORUS AND CHORUS}
[BRIDGE]
F x, f prime, why we, derive
Find the, tangent, instant, stagnant.
(X4) and back to CHORUS
first draft please roast me
so that I may get criticism and improvement stuff
just to be pedantic, the verb for "taking the derivative" is differentiate, not derive
oh
ahh shoot
AHH AHOOT
AHHHHHHH I GOT IT MIXED UP
derive sounds is cool but 😭
<@&268886789983436800>

@icy heron i know you mentioned vector spaces earlier, did you happen to take any advanced linear algebra, or go through any advanced linear algebra books on your own?
I have taken two linear algebra classes, not exactly advanced, but covering most of the stuff in Linear Algebra Done Right for example
oh that's awesome, i am taking a course that uses LADR as the book
formal uni course
anyway, the reason i asked was. i was curious what parallels/analogies/similarities you saw between linear and abstract
I think in some sense you could think of linear algebra as a subset of abstract algebra. In abstract algebra you learn about generalizations of vector spaces (modules over a ring, a vector space is a module over a field), and you learn about the structures a vector space is built out of - (abelian) groups, rings, fields, etc.
cool, helping that this course helps me out when i take the abstract algebra course
i mean
a vector space is an algebraic structure
yes, but it has algebraic structures inside it too 
Something something we heard you like algebraic structures so we put algebraic structures in your algebraic structures

i heard you like algebraic structures in your algebraic structures in your algebraic structures
👀
there exist $m \in \mathbb{N}$ algebraic structures such that you like algebraic structures in your algebraic structures $, \ldots, $ in your algebraic structures
proofman
man!
check whether 4n can end with the digit 0 for any natural number n
pls tell solution

Me when any algebraic structure automatically induced one on the power set of the underlying set
hi
Are you guys dreaming of getting a perfect SAT Score?
im certainly not
cause im not an american
hi, welcome to mathcord! 
Hi
I was too sad and depressed about my big exam
But something today felt weird. Like I have more hope and confidence that i can do well in it
I hope this hope never vanishes
Academic comeback is real
Trust the process
Tips for grinding/speeding through a math textbook? Im trying to work through Thomas Calculus rn.
Wow advert after 0 minutes, impressive
Yes: don't.
do i rlly have to send to 15 random ppl
Relatable
When I feel shit, there's this quiet voice that encourages me if I listen closely
when physics grade went up by 1 percent
w
@grave ether sorry, I went AFK. You can prove it like this:
a * (b * c) => (a_Z + 7i) * ((b_Z + 7j) * (c_Z + 7k)) = ((a_Z + 7i) * (b_Z + 7j)) * (c_Z + 7k) => (a * b) * c
Just why
Do as much as you can, not as fast as you can
calc is slang for calculus
isnt it short form of calculator?
no
but I wanna do as much as I can in as little time as possible
Is anyone here doing pure mathematics?
Then you won't learn as well
I am, and so are many people in this server
Then you’ll never learn
Have patience
Not a good approach to learn something
same thing someone said this to me 2 years ago and its true without patience nothing can happen
maths is not like u learn in one day its a interest when ur thriving ur mathematics with interest and with mindset of learning something new understanding the concept in deep level
Y'all uhhhh
I have a request for help but that's a little different?
Basically I am making this gift for my girlfriend and it's a little wooden heart
And I want to inscribe it with our anniversary date
I thought about just writing the date In there, however
1- the heart is quite small and hard to write on
And 2- it's a bit too basic to just write the date itself I think
So I googled a bit and tried to find a way to encrypt a number in a way that's more fun and unique
However I haven't really been able to find a good encryption for this one
I also looked at different numerical systems in historical order but they weren't great either
I am hoping somebody here knows a good way to encrypt a 6- digit number ?
Idk
I also thought about hiding it with math but the 3 numbers don't have common divisors in between all 3 so...
It'd be a bit difficult
( the date is 30/10/24)
Is she into math?
Uhhhh
Kind of ?
I'm tryna get her into math a little
And she is studying electrical engineering so soon enough she won't have much of a choice lol
But there is some stuff she finds fun

hello
hey
hi
https://youtu.be/IE8IkIQs8cY?si=qZQz7np1jk6VvakZ did leeja miller endorse ground news too? 
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Why did the mathematician break up with the Riemann Hypothesis?
Because they couldn't handle the imaginary part of their relationship!
But don’t worry, they’re still trying to find common ground on the critical line!
Has anyone here gotten a job after studying mathematics?
I was wondering if it's a realistic goal to achieve, where you can get some sort of job after let's say mastering calculus...
maybe tutoring?
@surreal sapphire official uni degree and all?
sure
i did not master calculus though
I don't know if this question is appropriate for you, but do you think in your opinion, that a person can get a job by mastering calculus? For example completing the calculus book by Gilbert Strang from MIT.
no degree though
just knowledge and self taught calculus skill
i think tutoring is your best bet
Yeah I thought so, I just wanted to make sure the goal is realistic before I really commit into it
well, i wouldnt know
I guess ur right
It’s just hard staying focused on a certain book when studying, idk what to do. Like I wanna dedicate a good amount of time to just working, I just don’t know how
can anyone help me with a decision? I am thinking about dropping out of my math degree
Why’s that
you're likely to get better discussion on that topic in #advanced-lounge probably
i am not happy with my college is probably the main reason? and also i don't really feel comfortable with myself, showing upto uni i mean
oh ok
Hi all ! Just wanted to ask a quick question. When you're really struggling against a problem or exercise, do you also have negative thoughts ? Like it's the end of the world ?
oh ok
Thanks !
Maybe this question belong more in #math-discussion ?
Like I'm a failure and a foundational aspect of who I am and why I have value is crumbling before me while realising that the very panic I'm experiencing is further digging the shallow grave I find myself in?
No, not at all.
oof
I don't see what you're talking about
Nope, at all
@charred furnace hey
assuming it's not salted, then sure the rainbow table approach can work
I'm going to be honest I don't think a gimmick like this is necessary. it's a cute idea for an SO who likes math or something similar but no reason to add a layer of obscurity which only serves your interest. I wonder if we can think of a cute/creative way to represent the date without having to decrypt it somehow, that way she'll know what it is without having to ask you, learn some math, or use a tool
an obvious choice is to omit the year and just write 30/10. could be smaller to use a different separator like 30.10
I think it'd be cute to just write it without any seperators, then it does feel kinda like a secret code since it's just random-ish string of numbers, but she'll know what it is (and no one else will)
so just 301024
you could write X instead of 10 so 30X24, or maybe the whole thing in roman numerals, but that may be hard for her to figure out without help (esp bc yours would be XXXXXXIV, which is probably longer than you want anyway)
XXXX 
?
3010
oh yeah lol you could just do XXXX and she probably wouldn't figure it out but it'd be funny
yeah
yeah? they just said it was a gift, doesn't necessarily mean it's for their anniversary
or maybe they're just prepping very far in advance lol
XXXX would have been really nice for 30.10.2020
that's a beer
hai
The core of the Riemann hypothesis is the phase angle π between the real and imaginary parts.
D.
Proven!

Position of the non-trivial zero point At s=1/2 + i t, the real and imaginary parts are both zero. This condition only holds when the argument of the real and imaginary parts that make up the even and odd functions is exactly π. The only condition that holds is Re(s)=1/2. Even the slightest deviation will change the value of the real part, and they will never both become zero. The intersection point of the imaginary parts does not move. However, the peak is synchronized with the real part. First of all, this principle is the basis.
That's what it said!
who wants to take a bet that "it" is an LLM?

It's not a difficult calculation. I was able to do a simple calculation and confirm it, so try it yourself.
chatgpt could write better slop than this
the real and imaginary parts are both zero
looks inside
nonzero

The formula is this.
The condition for a non-trivial zero point of the Zeta function is that the following two equations,
\sum_{n=1}^{\infty}\frac{e^{-i t\log n}}{\sqrt{n}}=0
is decomposed into real and imaginary parts,
\sum_{n=1}^{\infty}\frac{\cos(t\log n)}{\sqrt{n}}=0,\quad
\sum_{n=1}^{\infty}\frac{\sin(t\log n)}{\sqrt{n}}=0
The two equations above are "true simultaneously."
Give it a try.
There should be a kind of reverse Clay prize, where people get money taken away for confidently and incorrectly claiming to have solved RH
how much money would the collective mathcord lose
gorillions
if you also include the collatz proofs
those have got to count for something
This is not my proof. It will not be taken from me. I am not interested in the prize money 😏
you should consider the reverse clay prize

If this is true, then the hidden element is π, right?
It's what's causing the phase angle shift.
The shift between an even function and an odd function is what you would normally think of as 90°=π/2
and when you combine the two halves of these, you get π/2 + π/2 = π.
It may not be related to that π, but it would be interesting if it was related to the Basel problem ζ(2)=π^2/6!
Also, completely unrelated, but it's interesting that the number π(x) used in the Prime Number Theorem coincidentally matches 🤣 This has a statistical meaning.
none of this means anything
🤣 This has a statistical meaning.
breh
So much in that excellent formula
i'm so glad linkedin graced us with this nugget of knowledge
little do they know, p is for perceptron not momentum
E^2 = (mc^2)^2 + (pc)^2
What if you have a playstation rather than a pc?
Agreed
it's a photoshopped version of this photo of einstein giving the 1934 gibbs lecture at carnegie university
coincidentally the lecture was actually about deriving the mass-energy equivalence
I don't understand how u can derive physical equivalence from writing math equations on a board
Seems like crankery
albert einstein was the biggest crank of them all
that's why every crank says they're the next einstein
the comic sans is really the cherry on top too
What careers exist for a math amjor
i swear someone used to ask this question out of the blue repeatedly
@old oak am i crazy
Counting sheep
anyway, i should probably assume you're asking this in good faith, you can go into many careers as a math major, if you teach yourself how to program then software is a viable path, though the job market is rough these days
you can also be an actuary or statistician
this question is asked all the time
i guess it's just deja vu or just memories of that one guy who asked the same question for months and never responded
and then got banned
Yes, S2, my nemesis
And never engaged with any of the responses
I think the hypothesis was indeed that it was some kind of bot farming responses to feed a LLM or some other automated content generator
this goes very hard for some reason
and then add it to the pot for the one that actually solves it
welcome to the server @pulsar scarab
one night only
heya so i ended up running out of time anyways and i just ended up carving the date itself alone
also she knows she i like this kind of stuff and as of recently she has begun to enjoy it herself too
i didnt mean to put a super encrpyted thing, more like in the lines of morse or braille or (Something i wanted to do but couldnt ) put 3 circles one inside the other with different radius'ses and separate them in equal parts as so each circle by itselft would spell out one of the numbers or smth
anyways yeah i ran out of time and carving wood by hand is really difficult so i inscrybed the date.
it came out not great.
but she liked it so its cool
i wouldnt do it just for my own good or interest, i know its something she would find joy in as well
Is there a better way to complete the square with decimals
My teacher told me to times by 10. Or 100 to get rid of decimal
Is there a faster better more efficient way
Any thoughts on adding a computer science channel? I think it would get a lot of use
TCS channel exists for upper level complexity theory questions
anything else is out of scope for this server
ohh i didnt see that
What search engine do you guys use?
I use Startpage but it's quite inaccurate and slow ngl
I want accurate results of Google and Bing, but I don't want ads
if ads are your main concern then you can install an ad blocker
ai cant make clear words bruh 😭
POP QUIZ: if I wanted to add every single whole number from 1 all the way to 50 up without actually doing all the addition, what formula would I use? The formula should give the same amount as 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50
My ass
n(n-1)/2
So it's 50(49)/2
clever gauss etc
50+1 = 51, 49+2=51, 48+3=51, … so basically, pair up these numbers, n/2 pairs, and they all sum up to the same number n+1. So we have n/2 * (n+1) for even n
And for odd n it’s the same deal. But there will be a leftover n in the middle which will be equal to (n+1)/2. So we form (n-1)/2 pairs, (n-1)/2 * (n+1) + (n+1)/2 = n*(n+1)/2. Same thing as even n
So 50*51/2 = 1275
You could sum 1+…+n + n+..+1, you would get n number of n+1s this way without worrying about even or odd n , but you need to divide by 2 since you double counted and paired up numbers with themselves . So n*(n+1)/2
Startpage uses Google for the results so they should be the same
Adblock
@vivid halo you should check out this paper if you haven't already
https://arxiv.org/pdf/2503.13006 they developed something called the "Galois Grothendieck Path Integral"
simple, gauss method.
already answered by many tho.
Lmao crank paper
Wait actually? The author seems legit, but idk enough about this field to tell sadly
Ah okay I read it more carefully the result is sort of legit it’s just an incredibly stupid and useless result
A useless result, in a mathematical paper? I'm astonished
Borderline
i’m not familiar with any of his mathematics but i’ve seen excerpts of some essays of his and they struck me as pretty far out there
you guys know advanced elementary math books? (high school math books for hard exams)
The Russian version of Mathematics as Metaphor contains ten chapters that were omitted from the English version. The American Mathematical Society decided that these chapters would not be of interest to English language readers. The omissions are doubly unfortunate. First, readers of the English version see only a truncated view of Manin, who is perhaps unique among mathematicians in his broad range of interests extending far beyond mathematics. Second, we see a truncated view of Russian culture, which is less compartmentalized than English language culture, and brings mathematicians into closer contact with historians and artists and poets.
— Freeman Dyson

One of my professors sent this paper to me as he was interested in the path integral part

Mathematicians try to do useful physics moment
Hi
What do you mean by that ?
what was Manin even into math wise
I mean loads of stuff, lots of number theory and math physics
Motives, rational points, elliptic curves, stuff like that
ahhhh
Most of the knots and primes and F_1 ideas originated from him
well he was the advisor of like half the people in those fields lmao
wish i wasnt bad at math
what are you good at?
mid taste
wdym by mid taste?
mid taste = (bad taste + good taste) / 2
no its even lesser or equal to than that
its their geometric mean
tho for this to be equal to the arithmetic mean, you'll have to take bad taste=good taste which is not possible
Can someone check my answers on this one physics/math question
It’s really fast, I just want a quick check
42
for reference the question is "what is six times nine?"
42 is always the answer
based
$\text{h o m e r s i m p s o n }$
eclipseryu

Looking at Boolean Algebra and thinking, "Wait, this is just what I learned in computer science class."
The way I learned it focused more on AND, OR, and NOT than the letters, but I think my college casually taught me Boolean Algebra because our computers are built around it.
So we had to draw out the logic and stuff like that.
That’s tremendous
I've been trying to bond with people over math, I feel like you don't have to be an absolute god at it to appreciate the art form yet nobody seems to get as excited as they should be for how cool math is\
I get it, but the last thing I want is to be around a nerd that won’t shut up about how cool some random math is
Explaining the problem to me and how it’s really fascinating because x y z
My math interests are largely personal
I’m lucky enough to have some classmates that actually cry over how good the math class is

Learning the same stuff and working on the same problems and discussing can definitely be fun
do you guys know a place i can learn about vectors, like a course?
linear algebra is all about vectors
if you mean an online course about linear algebra then i recommend you check mit ocw
Vectors for?
linear algebra
Oh I see, MIT OCW has a courseware site called open learning library, check it out https://openlearninglibrary.mit.edu/courses/course-v1:OCW+18.06SC+2T2019/about
thank you soo musch!
Thank you!


