#serious-discussion
1 messages · Page 81 of 1
And for this one you can probably use a rational roots theorem to turn it into the product of a degree 1 poly ans à quadratic
Then the quadratic is ez to factor with the much simpler quadratic equation
oh hope you do well 🙂
But yeah the answer totally depends on your background but if the average late middle schooler/early high schooler can do it hopefully that gives you the confidence that it's not the worst thing in the world
To learn about
Ok, I bought a book and I will go through it. I am at a very basic stage.
Its just really scary but it just looks like gibberish
and all the things you said didnt make to much sense, but if you say its not to hard I can maybe learn it in a few months.
yeah if you get stuck this discord's help channels are good too
mystery ping
you have to start by looking at the noetherian reducible scheme it induces
cringe
Really ?! the posts have been high quality from my experience
It's a mix imo
Some gems but also a decent amount of dumb stuff
But I'd argue overall it's more good stuff than bad stuff
I was going to criticize r/math for being way too reddit
Then realized
Ah yeah
It literally is Reddit

Math makes me want to meth
do it
100% monke 0% alcohol
Omg algebraic geometry how
We have algebraic geometry and geometric algebra
When can we get algebraic algebra and geometric geometry
Hold on
meth
Ok now we need a geometric geometry
that means there’s non-algebraic algebras
Yes
/r/compsci has an issue with quality tbh we need something like Physicsforums but for all stem topics
Oh yea that sub sucks
yes, most of them
Lots of cranks posting nonsense and whenever something good gets posted lack of experts to provide commentary is lacking
/r/math was better since like to get the red flair you had to verify with the mods I think you were an actual researcher
to answer the earlier thing: people in the comments on /r/math regularly fell for an obvious crank; more generally the audience seems closer to interested highschooler than working mathematician, which is fine and maybe to be expected but it leads to the content that makes it to the top not being the best
Is it considered standard practice to email potential advisors? I know that in other sciences it's absolutely important but I'm wondering if math PhD programs (U.S.) expect this or not
at least it's not as bad as r/numbertheory
yes, at least its not as bad as a literal containment sub 
ok i didn't realise it was created as a containment sub
Don't listen to the people who say don't lie
Lie, Gaslight, Gatekeep and girlboss
Most successfull people in the world are those who lie the most
dont know if this was the intention, but i saw this mentioned multiple times elsewhere, and also other subs sending cranks there on purpose
Do they lie about the fact that they lie?
Then how do they tell people that lying makes them successful
I'm a failure because i don't lie
Me when typing that fr
certainly doesn't hurt
is it possible to overwhelm / surpass(!?) someone who has like pure natural talent for math with people having derived mathematical knowledge?
there's no such thing as pure natural talent
that was very helpful
You're welcome
Artists aren't gifted. They spent hundreds of hours into their craft
<@&268886789983436800>
do not advertise here
thanks boss
ping me if anyone has a different take on this, i need to have some kind of conversation around this
Talent exists. Some make the same gains with less work, or it feels better to do the work so they do it more.
But if you lack talent compared to someone else, all it means is that you have to work harder if you want to surpass them
work is not an issue per se
i need to know if it is possible to develop a similar level of thinking as someone else through work
What are you asking?
You're just asking if people can learn by laerning
If peoeple's thought procceses didn't change by learning then there would be no point in doing it
like ive put in some work, still i find myself sounding like a echo chamber when i speak anything about math while the other guy just keeps churning out new unheard methods like if its nothing
ok general
not exactly 'unheard methods'
but whenever they speak about math, it sounds very very fresh
sounds like a communication / social skills issue
Creativity comes with practice. You will develop your own style.
Maybe the things you say sound fresh to someone else
haha
yeah
there shouldnt be (and i think there isnt) any sense of competition in this but for some reason i still get bothered by this
It's normal. You're not alone. But you know what they say about comparisons
i dont lol
They're not good.
ummm could be
um yeah
i think its not comparison
its sort of motivation(?) if it makes sense
its the desire to see the things through similar lenses, yeah
Would be interesting
Idk, it sounds like you're asking if you can Vulcan mind meld with this person
But maybe you could work closely with them to understand part of their process
they are dead
Rip
Rip indeed
Then again, creativity seems to be such a personal process
true
I guess my point would be to learn as much as you can, build your toolbox and then let the creation happen naturally
Don't expect to be like anyone else
maybe im just expecting something to click out of the ordinary and the level of thinking will suddenly elevate itself to a certain level through books
while the other person's way of thinking wasnt born out of books, it was just natural
Well, when you do music, you learn theory, technical skills, production techniques etc. And all of these things are done so that your brain can use them in creative ways
Who is this, if you want to say
Oh man
See he had such a love of the subject and it gave him great purpose to eat sleep and breathe math, you get good when you're like that
Yeah it'd be rad to see out if their lens for shore
But I have to settle for my own lens
The other day i read something about a guy who was simply phenomenal with numbers
cannot seem to recall his name atm
and it was almost jaw dropping
i saw him in the movie they made on him
uhhh
Rainman?
yeah
Ramanujan?
He was a beast at series
in one act he went like
But he didn't write down proofs for shit as far as I know
"its the only number that can be expressed as sum of two squares in two different ways"
and i was like flattened into a pancake
It's said the mathematician Hardy knew his results had to be right because no one is creative enough to be able to invent them
bruhhhhhh how can you possibly know that, its as if its a footnote in the books you read
Yeah. Just really powerful intuition. But everyone has some
this is very interesting as well
like this unfolds two things if i have got it right
Hardy had enough intuitions about those things to draw such a conclusion but not enough to come up with the exact thing himself unless he puts in some work
does it makes sense?
itd be incredible to attain such a level where youre familiar enough with these things that you can smell half correctness from a distance
In some limited fashion I do that too though. And it's a sense you develop.
You're talking about a guy who spent 70 years of their life doing math
Who's parents were both math professors. ( they taught them math )
You're overly romanticizing these people for no reason.
ik
The only difference between them and you is that they had a better spawn location and they worked harder
i just want to do that rn
one day we'll shit on them together to balance it out if you have a problem, happy?
Hmmm really ? I mean there were grad students/professional mathematicans on there when /r/math opens up again maybe we can have a deep dive to see the content quality compared to something like mathstackexchange or mathoverflow
I admit i'm a bit biased since I was hanging out as a high schooler on there working through uni level books
Like in terms of quality forums for math, physics, tcs, computational chemistry not gonna lie there are not many options
Math twitter moved to Mastodon but that platform has it's own issues
That place is great as well :)
I just sent an email to harvard
Good luck
but did harvard send you an email back is the real question
do they respond that fast?
twas a running joke here
compared to MSE and especially MO r/math is not very mathematically advanced
I would say that the ordering there is pretty strict, with the overall "level" of the math being done r/math < MSE << MO
i think i've seen harder math done in yt comments
there were serious mathematicians there
but
like
no one goes to reddit to do work
Does anyone have a program that automatically applies to every college on commonapp.org?
Isn't that the common app?
yes

I just spent like 30 minutes adding hundreds of colleges to my application
just to find out i have to apply to them all individually and there isn't just one application that is sent to them all

copy and paste
isn't this like
astronomically expensive
or is applying to colleges free its been too long
i know grad schools cost a lot
You realize you pay a fee per college right?
You also don't need to apply to more than like 10 schools unless you pick dumb ones to apply to
not all colleges charge a fee
I reiterate the second point
Your average effort per application plummets if you do this
meaning you might end up not getting into schools you would've gotten into if you applied to fewer
not hundreds
what
I am an undergrad
so I do not know
do grad schools do interviews / calls???
idk
I should probably figure this out since I'm applying this fall

So people apply to about 10 schools and just get in?
Isn't math GRE like useless
well yea but you split it up smartly
have 1-2 schools you're guaranteed to get into
3-4 you think you have a good shot to get into but not 100%
and 3-4 pie in the sky reach schools
Ah
imagine applying to more than two places
Iowa State is a good safety school
ok school
and the application is literally just numbers
Are State universities usually safety schools
you input grades and SAT/ACT
they compute a number and if it's above some threshold they accept you immediately
and they give good aid
uhhhhh depends on the state school
like UC Berkeley, UCLA? prolly not
UIUC? depends on the major
Iowa State? Yea pretty much because of what I said (instant admission)
What other factors can your undergrad admissions depend on?
Recommendation letters?
Papers are unrealistic, ik
In no particular order, GPA, standardized test scores, rec letter, course load, luck, extra curriculars, your essays
anyone who says papers is bullshitting
just having accolades helps
So you are at a disadvantage if your course load is suboptimal?
if you never pushed yourself to take APs / Honors courses then that's not ideal
Ah, I see
doing well in APs / Honors courses > doing well in normal courses
cause duh, doing well in hard thing better than doing well in easy thing
@torn willow a hack is to take 10 APs at once
doesn't take a rocket scientist to figure that out
just get your school to waive the fee
go to your guidance counselor and just tell them
just how it is
That's fair
you as a student have more agency than you think
and most students don’t exercise their agency
Well ig it's more of a "do you vibe with the interviewers" rather than luck?
Or is it literally just luck
interviews dont matter
just dont be out of pocket
interviewing doesnt happen to everyone at top schools.
its usually as a vetting process to see you arent delusional
i mean if this is for you what are your stats and what school do you want?
rec letter/legacy is most important btw
lol ur funny
for undergrad??
maybe not majority but harvard does and some other ivys
but some rly good schools like mit dont
cooper union if you like engineering doesnt either
but majority do
lol enjoying college gud one
U should to study 24/7 to aim to get into a prestigious grad school tbh 
you're in the middle of applications right?
so you aren't in college yet
I'll say applying to college was definitely one of the low points of the whole college experience
so you have that going
also evaluate what major you're looking at and whether you think you'd be happy doing that
like look at the courses you'd be taking
if you hate the courses...
not a good sign
Also don't be afraid to switch majors
ALOT of people do it, for one reason or another
also make sure you have time for shit outside of classes
I am in college. I'm just applying to better schools because why not.
Finding a school that'll pay for my tuition owuld be great
unirionically having a study schedule and getting a 4.0 and being involved will put you ahead of most others post-grad
that would be cool
talk 2 modmail
k
How important is the GRE and other grad-level tests?
Also, how important are things like experience in math competitions (e.g. the Putnam)
And undergrad research, too
can anyone help me with my cat-4 prep
r/interestingasfuck turned to an nsfw sub to protest LOLOLOLOL
omg that's fucking hilarious
that's like the most r/iam14andthisisdeep tier name ever
yo im the mathematician that is the progenitor of humans, progenitor of a.i., progenitor of aliens, progenitor of animals, progenitor of plants
there's a mind control program active across time called mark is never allowed to be happy. this is serious. study your response mathematically to see how it is affected by mark is never allowed to be happy.
the moderators were replaced now
capitalism wins again
stop spamming garbage, go to another server to troll
Are you saying the new mods allowed this
A bit unbelievable but maybe
Well this is new for interestingasf or maybe I never searched enough
I didn't know political things were allowed
top privates do
tuition scholarship via merit of financial aid?
top private schools give lots of financial aid
and lower prestige public schools give lots of merit
i am going to start 9th grade this year , i just wanted to know if there is anything i should expect or prepare beforehand
Expect to get pushed around a bit
i dont mind but i need academic advice
Your GPA matters
Through whatever will make my bank account not shrink
Focus on balancing your life and schoolwork
i dont live in the us
You still have a GPA
Take risks
we have out of 100
i thought they were different
GPA are scores out of 100 converted to a single digit number
You have scores out of 100
which means you also have GPA
i am turkish
So in the grand scheme of things, I suppose Germany is the country you want to study in, if you do not want to die in debt
That sounds tough because of the whole homogenity thing
is there a thing like that?
Actually ig it's not
https://studyinsweden.se/plan-your-studies/how-to-apply/#
I think you will find everything you need from a website like this
It's nice how European countries are making life easier for international students
why do people still use reddit. I do not understand
Compilation time
Once upon a time I too was a brainless /r/all or /r/popular browser
. Now I've risen into an enlightened non-redditor/discord shitposter
Well ok I still look at r/AnarchyChess
don't judge pls
yo fr
it matters
but less so as time goes on, if you arent a strong applicant -and you would know if you were- then you should do it and get good score
still a useful place to communicate and communities on other platforms
also very frequently when I search a tech issue the first results are a reddit thread
Reddit (also its predecessors like Digg, and older technologies like BBS's and 4chan-like sites) is basically a superforum which users of different fields previously scattered around different forums are united, forums of the same subject are made into a single subreddit
What Reddit had which is superior to its predecessors was the relatively easy-to-use UI, therefore was successful in competing for the niche
So instead of countless relevant forums turning into countless relevant superforums, we basically only have Reddit and 4chan in that area (and forums still exist for various sakes)
I feel that people only dislike reddit because of the memes and culture surrounding it, but once you get on it and find a subreddit that you like, then you can connect with other people socially about the thing that you like
like nsfw
The uniting factor of Reddit can also be a downside as now we only have a single relevant place to talk about things there is no choice but following the particular rule they have, unlike the diversity which forums would take, because forums are more isolated, they flourish (for a definition of flourish more genorous than the current time) like islands in vast ocean
Some people would go out to make their own subreddits but they don't catch on because for people who just want to post things it's so easy to just post in both of them, and just follow the rule of the stricter side, resulting in the smaller one become a virtual clone of the larger one.
surely people have morals right?
Counterexample: 4chan exists
meanwhile me being a moralless sinner 
When you have a choice between what platforms you can use, why would you actively choose the one that is srewing over the people who make the platform what it is
It's not like they have to choose between getting a medical treatment and dying
Literally just go to another website
Websites are owned by someone
hi i am new here, where to go to ban anime?
hi new here
You can impose an anime ban on yourself and you don't need to go anywhere
Nazi germany
I watched the NatGeo series that they did on Einstein
it was amazing to see how his priorities in life kept changing and was really surprised to see how it even stretched to the point where he once considered understanding everything fundamentally to be everything in his life to publicity to be everything in his life
and yet he somehow managed to keep himself sane enough to refuse a military signing
not sure what you're saying here
People are immoral because they use reddit?
they use reddit becasue they are immoral
plenty of reasons to not use discord, but why do you use it? I use it because it's convenient and everyone else already uses it.
And I my reason is the same for reddit. I use reddit because it's convenient. it's one of more of the 10 top search results when I search for a tech related issue.
Granted I'm probably not a" real redditor." i don't post or anything I just save tons of resources so I can fix a problem again in the future
people only hate on reddit because it’s cool to hate on reddit
although i fully endorse harassing redditors that act like stereotypical redditors
I think people are hating on reddit specifically due to the way it is presently being changed
oh well that too obviously
i meant more like the community
not the decisions of the admins
i usually look up questions that wouldnt be found in a typical google search by ending my search with reddit
becuase googles search algorithm isnt the best
when it comes to very niche questions
yeah honestly reddit is like one of the last places on the internet you can get advice that isn't fluffed SEO garbage
people that actively browse and post on reddit are typically weird tho
i dont know if thats true. i imagine the average reddit user is pretty normal
the weird ones just leave an impression
idk when i think of redditor i think of justin roiland rick and morty marvel fans with entire shelves of funko pops
thats not too weird
but it is a little
i think thats largely a characiture
yeah it just depends on what they do on it
im sure there are probably cool people that go on certain subreddits that i would like
I think it's something like. People who use reddit aren't necessarily weird
But the deeper they go into it and the more they call themselves redditors
The more likely it will be that they fit the caricature
Which I'm sure is not unique to that site
What are some cool formulas I can use for 3D rendering?
didnt you have long hair before @modest rune
Watch the slappable jerk redditor series on YouTube it’s pretty funny
you are wrong
the average reddit user is normal depending on their frequency of using reddit similar to average discord user
you arent normal if someone can tell you use a certain social media after 1 conversation
most redditors fall under this
Any commentary on 'average sth user' is mere speculation without any proper randomised survey
It's funny at best and stereotyping a particular group at worst
stereotyping at worse? give me a break, very dramatic. average user dialogue isnt mere speculation because the personalities reflected from these users is present in the subject of their posts
if you claim that the average 4chan user isnt hateful then you are being dishonest.
while not every social media website/platform is as extreme as 4chan they all respectively have their own subcultures and contents they post
what's the characteristic abnormality of an average reddit user? i haven't used it enough to have detected a pattern really
its hard to put into words with reddit since it really depends on what the person uses it for.
i can tell however if someone uses reddit for the streaming/gaming subculture vs music/celebrities
and depending on this you can sort of make further assumptions about them and be mostly correct
uh huh
i mostly use it to get help with "how do i do xyz in such and such video game" haha, fortunately usually someone has already asked and got an answer so i can be a passive user
so you're saying a variety of different people use reddit for different reasons and to different extents and that its difficult to say anything about them in general?
yeah you arent the average frequent user
kinda rude attitude. im obviously not implying that if you visit a social media website infrequently you are a user
i agree that anyone who spends a ton of time on reddit is probably abnormal if only for the reason that spending tons of time on reddit isn't normal
if i viewed facebook 8 times this month im not a facebook user.
similarly if i use reddit to filter seo garbage and dont post im not a reddit user.
sure, but if you scroll r/aww most mornings because it cheers you up, or look at r/funny to see (bad) memes every day when you go to the bathroom, that does probably make you a reddit user
in which case assumptions can be made?
seems analogous to wikipedia, if you're just a reader you probably have no awareness of the odd little world that is wikipedia contributors/editors
such as?
i wouldnt be able to say personally. but dont act obviously as if routines dont form parts of personalities
lmfao
just because im not part of a culture doesnt mean there aren’t assumptions that can be made
im sure there are certain activities like golfing and fishing where im completely unaware but they have their own stereotyping or assumptions
its not like peoples personalities are completely seperate from the activities they do
i feel like you are just describing stereotyping which is like commonly agreed upon to be a bad lens through which to view people lol
i agree you can stereotype reddit users
my man went from stereotyping is too dramatic to not every stereotyping needs to be bad? this is evolution irl
more like saying stereotyping at worse is dramatic
its not at worse
its just as bad as speculating(not at all in these contexts)
if i assume you have some political belief because you frequent a social media website that is stereotyping but it isnt bad
as an example
while it's not that bad as a mere thought/opinion it has the potential to be converted into actions which can be bad
id say its safe to assume that most redditors think the sub getting lost isnt bad
i dislike this argument for many reasons
the idea that no prejudice should exist is bonkers to me
That's not what I meant, prejudice will exist but taking an action based on it can be bad. There's a vast difference between just not liking someone
and killing them or not giving them equal opportunities.
Existence of outgroups is different from prejudice/discrimination
yeah discrimination bad
stereotyping and prejudice dont lead to discrimination
discrimination is the resultant
you can sully to disagree if you want but this is sort of an example of what im talking about
as a further example
racial prejudices will exist for everyone regardless of if you consciously address them or not. the racists will still discriminate
its not possible to be devoid of stereotyping and prejudice because its like the game, once you are aware you will do it
why not use the #geometry-and-trigonometry channel for help here?
They tryna slide into your dms
https://www.researchgate.net/publication/5277058_Learning_Concepts_and_Categories_Is_Spacing_the_Enemy_of_Induction This study from 2008 is vv interesting
PDF | Inductive learning -- that is, learning a new concept or category by observing exemplars -- happens constantly, for example, when a baby learns a... | Find, read and cite all the research you need on ResearchGate
Bascially it showed that people who learnt multiple different "topics" at the same time did better than people who learnt them one after the other
After the study when peoeple were told that they learnt faster when they did multiple different "topics" at the same time
The people said that even though they learnt faster they prefered learning one after the other 
Like the multiple topic group learnt 5-6x faster 
I'm one of these people and i did not need to know this
Ok that is interesting
Maybe I will dtop grinding purely math
And start to spend more time on the other subjectx
kind of not sure where to ask this so but was thinking of making a blog, but never tried to host a website before. Googled abit and my understanding is that there is no such thing as being able to make a website for free if it requires custom plugin like latex does?
Google sites might have some latex support? I forget
WordPress is good I think
Google doesn’t allow you to load raw JS (like the MathJax library)
I second WordPress, or if you want even more control and are up for it Github Pages (which is also free)
But do note that it’s a bit more involved to set up
There are YouTube tutorials
looked into github and my head is dizzy, wordpress seems abit more user-friendly so i will try to explore abit more with that. thought that starting a blog was as simple as title + content and then calling it a day.
Is it true that people who say that they’re bad are secretly good
GitHub pages with Hugo is the way to go
That's what I do and alot of my friends do
If you want more powerful (nearly arbitrary) latex support you need to get much more into technical tools
look up static site generators (eg Franklin, Hugo, Jekyll), you can use github pages plus render math on your page
Not necessarily some people are just bad
^^
if someone tells you something bad about themselves it's best to just like trust them
say something bad about yourself valley

@mental stratus Why the strawberry
@storm sage can't believe you didn't change your name to eulercharactERICstic
it doesn't flow as nicely 😭
hey
eulerchERICteristic
okay that one's actually kinda funny
eulerERICteristic
but it doesn't work with the word stress
Fixed
phonetic stress changes everything
Wonder if there are any new math questions tricking the internet!
In mathematics, a filter on a set
X
{\displaystyle X}
is a family
B
{\displaystyle {\mathcal {B}}}
of subsets such that:
X
∈
B
...
why is this article so long
it's insane
w article tbh
I mean I love the attention to detail, formatting, and notation
but damn
it's so long
In mathematics, the adele ring of a global field (also adelic ring, ring of adeles or ring of adèles) is a central object of class field theory, a branch of algebraic number theory. It is the restricted product of all the completions of the global field and is an example of a self-dual topological ring.
An adele derives from a particular kind of...
same with this one
Mario?
Is this an Across the Spiderverse reference?
I haven't seen it. And I said that last year
#spiderman #spidermanacrossthespiderverse2023 #funny
Ah ok
Chai means tea bro
I know
It's funny how you were the only person in this server that used that exact sentence
Tea tea
(I am intentionally taking it out of context)
Hm ok
You also did the follow up lmao
Did I??
I'm looking around and idk why I'm bringing it up back then
It's like I'm explaining apropos of nothing
.
what do i do if my question was closed but i didnt get an answer
open it again lol
ok cool
next time if you're quick enough I think there's a command or something
.reopen
or you can alternatively check ✅ when the bot asks you if your question was answered
I want to do a TCS focused thesis for my undergrad but my mentor specializes in graph theory and hasn't done TCS since her PHD. So we're looking for some research topic that I could do, any ideas where I could search?
asking this is #advanced-lounge might get quicker and more reliable responses
Thanks for the tip, will do.
@sterile river
:D
so i bascially started watching the tutorials during class
bcs i was too fast and the teachers didnt give me harder woek
work
and in my country it isnt allowed to skip grades
so just finished 9th grade
Lol same.
I watched TOChem tutor's videos on doing limits and had fun with those.
i understand that the teacher needs to focus on helping the average student comprehend but he could at least bring me harder stuff as i asked him for it and told him it was too easy he insulted me in front of the whole class😭
Also started learning the existence of upper level math courses like real analysis, modern algebra, number theory, and more.
even heared of measure theory
Yeah however Idk a single thing about measure theory lol
I just heard of horizontal integration (or whatever it was called)
same I asked for harder work but couldn't get any so I got an algebra book and found some problems that I can work on that were at my level
i wanna learn it in summer just for funsies
I also went around to other classes and asked for work (trig and calc at the time)
where are u from just for curiositymy guess is the USA
Sounds cool!
Yeah
ill tell you abt it
bcs most people learn calc 1 earlier
Is measure theory part of real analysis or its own thing?
like here in the german system (im not in germany but from a foregin german school) calc 1 is taught in 10th grade
i think own thing
Ah
Ooo thats cool
at where i'm from measure theory is taught under the course analysis 3
Ahh
Tao's Analysis or a different text?
Analysis 3 sounds like one of his books
we don't really have specific texts for courses but i used parts of tao's first analysis book for anal 1
Oooo
Interesting. I wish to take analysis soon :3
Hopefully next spring semester
The entire book?
wagwan
not much
how to math
Allah!
meth 😶
I am not crazy, I know he orchestrated this, he shortened analysis to anal to have an excuse to say it
They didn't shorten anything
I refer to analysis as anal as well I don't really find a problem here.
I just needed an excuse to reference better call saul
Ach sprichst du deutsch?
ich lebe in hamburg

Ja ich würde schon behaupten , dass ich des Deutschen m¨æchtig bin
I've almost finished the first unit of khan academys calc ab course, and I feel that I learned nothing
I did the same 10 problems over and over
I had bigger problems with the algebra
than finding the limits
bro molarity is the number of moles of solute divided by the volume of solution 💀😂
Hello Broooooo
m¨æchtig
bruh @zealous garden geometric algebras are fucking awesome
I'd be even more in love if I were a physicist
why aren't all physicists using the geometric product?
for context I've been watching this brief intro https://youtu.be/60z_hpEAtD8
This video is an introduction to geometric algebra, a severely underrated mathematical language that can be used to describe almost all of physics. This video was made as a presentation for my lab that I work in. While I had the people there foremost in my mind when making this, I realized that this might be useful to the general public, so I ...
and I'm only 30 minutes in but the dot product, the cross product, the complex numbers, the poly spin matrices, quaternions have all shown up from the geometric product as naturally as breathing
it's too op ong
also torque as a bivector makes So. Much. Sense.
geometric algebra does come up frequently in computer graphics research too
drak i don't know the details but i did run into this video https://www.youtube.com/watch?v=tX4H_ctggYo some time ago
Programmer focused part starts at 18:00
Try the examples here https://enkimute.github.io/ganja.js/examples/coffeeshop.html
The Geometric Algebra course at Siggraph 2019.
Intro : Charles Gunn (00:00 - 18:00)
Course : Steven De Keninck (18:00 - end)
Course notes, slides, software, discourse and discord at https://bivector.net
Dudeeeeeee Spek to mee tooo
you're literally in 8th grade lmao, like groww upppp
well, you're not contributing much to the conversation
algebraic geometry > geometric algebra
That true
But I am new so I am learıng
#NFT's #goodvibes
comment on your comments?
cringe.

What how work
you're in 8th grade, if you have a job that is already problematic
Now Hobbie
Not job
I am drawing
For example I drawed this last day
About street
like a true 8th grader 
Vector type
care to show us?
Dude How to show here
you can't
Should I drag ıt
oh yea you don't have image perms lmao
loser
So I am new As I said 🙂
hi new
so I will show youn in chill
Thnks Pikachumly
I made that in İllustrator
go to schill
I am 3d artist
hello
I know these from my dad he is making drawing to the wall and bump like sculpture
where tf did you find a capital letter i
with a dot in it

I made that in İllustrator
Yes true
what is that I with a dot over it
this is a normal: i
and this is yours: İ
you don't have to apologize 
no embed perms
What should I draw next
¯_(ツ)_/¯
A dark cube
turkish I suppose

çan confırm İ have a türkiş keyboard
I have tukish keyboard

What kind of vector multiplication though?
Hadamard product? Kronecker product? Scalar product?
the geometric product

the vector product to rule all vector products :sotrue:
also, scalar product? 😳
Ah, I see 
umm, the usual inner product / dot product
zane french confirmed?
How did you come to that conclusion? 
fr*nch
I was in Fr*nce several days ago though
if u commit sins you'll be sent to fr*nce
The dot product is called "produit scalaire" in french
Man I love dot product generalizations
There's the fat dot product
The scalar product
The left contraction
Even the right contraction
And they're all the same thing if both inputs are vectors
Based
MAKE SURE YOU WATCH THE ADDENDUM

Sudgy is thinking about delisting that video and uploading a corrected version
I watch all his videos and he moderates a discord
I think most of his GA opinions are based, which is nice
Dangos are based
Sudgy's pfp is a dango!
That's why I mentioned it 🍡
He's constantly paying the price for saying ab = a•b+a^b
What price?
Seeing all the people who don't know the proper geometric product
In the server, in his comment sections, and perhaps in the wild
Between 1 vectors a lot of special cases come up
Statements like "for vectors a,b ab = a•b + a^b" and "a•b = (ab + ba)/2", "a^b = (ab - ba)/2" are theorems, naive presentations make them seem like definitions
For example, between bivectors the dot and wedge product wholly commute
Does anyone know does the grid method always work for polynomial division or do you have to use long division?
But we can open up the commutator product now
The commutator product of bivectors is always another bivector
In fact the set of bivectors with the commutator product form a lie algebra
wait that's not true?
and here I thought I knew what the geometric product is 
That will work if you intend to reduce every expression to a sum of products of vectors
And remember your associativity
But it's not generally true
Bivectors are the easiest example
The wedge product of 2 bivectors clearly has to be a 4-vector (or 0)
The dot product a scalar
Yet the GP of bivectors also includes an anticommutative bivector portion which doesn't show up in either

Example
$(e_{12} + e_{34})e_{23} = e_{1223} + e_{3423} = e_{13} - e_{24}$
$(e_{12} + e_{34}) \wedge e_{23} = e_{12} \wedge e_{23} + e_{34} \wedge e_{23} = 0$
$(e_{12} + e_{34}) \cdot e_{23} = e_{12} \cdot e_{23} + e_{34} \cdot e_{23} = 0$
wraithlord_kobordism
For general multivectors A,B; AB ≠ A • B + A ^ B
Another simple example, try the identity between scalars
It works for 1-vectors specifically
you allow adding e_12 with e_34 in GA?
Yes
whats the one where youre not allowed then
That thing exponentiates to interpolate (for example) a double rotation in 4D
What do you mean
They're in an algebra, by definition you can add them
oh you dont know what im talking about?
I can give you an example without that, I just think of it a lot because it breaks some expectations you build in 3D
dunno the name, just the idea that k-blades don't form a vector space usually
I mean k-blades don't
yep
so you don't particularly care about blades i guess
yeah
Non simple bivectors you can consider to be geometric in a way
so are nonblades nongeometric
Not necessarily
An example
The multiplication of two vectors a,b yields ab
We can look at ab in two essential ways
As the composition of two entities, the wedge product and the dot product, or as its own singular entity
hows that a k-vector thats not a k-blade
It's not
oh youre still explaining sorry
Its a geometric object that isn't a k-blade
e_12 + e_03
In 3D PGA e_0 squares to zero, and this can be seen as two lines
It's a lie algebra element, and exponentiates to screw motions
Translations along one line, accompanied by rotations about the other
in 3D (dual space) PGA, the vectors a,b are affine planes, and the wedge product is their meet
A single line
how do i do that
do i square this or smething
exp(αe_12 + βe_03)
alpha is the amount of translation along the line, and beta is the amount of rotation?
In this example, the other way around
e_12 generates the transformation taking e_1 to e_2. This is a rotation
e_03 generates what takes e_3 to e_0, which projectively, is like our plane at infinity
so if i multiply this by e_1 itll rotate to e_2 and then translate some amount by e_0 to e_3 or smething
So that "rotation" is a translation
Almost
You have to take the sandwich product
Or conjugates
i see like quaternions
Exactly, quaternions are a special case of this
The complex numbers of course are also a case, where the formulas simplify because of the commutativity relations
fun
w
Can someone share their nordvpn subscription with me 
lmao got sullied hard
Hyper Sully
I'm watching this MIT Integration Bee final, and what came to my mind is that I could have studied harder during my bachelor
Does anyone else feel like they've slacked their bachelor? Like I passed everything with okay grades, but I just studied for the sake of passing.
I want to improve that on my masters, but I hope its not too late to actually get good at math
selfish chat 
i didn't sully you Brandon im mot selfish
I feel that very hard 
honestly feels like imma have to take multiple gap years where all I do is study math to make up for it before I head to grad school 🙃. Which I wouldn't have a problem with cause it's been fun doing that so far this summer, except for the financial aspect of not having a real job for that long 
I have a question in #math-discussion I was wondering about it
all the roots to x^3 = - 1 are regular complex numbers tho
Sooooo good old complex analysis I guess?
What they're looking to propose isn't a field either right? Cause x^3 + 1 is not irreducible in R so R[x]/(x^3 +1) isn't a field >. >.
hold the phone
graph f(x)=x^3+1 in desmos and then discuss the behavior of odd degree polynomials with real coefficients
I mean real numbers are complex numbers too
oh this is your angle
yeah lol
yuck
Interesting
What do you find funny in his sketches?
I can understand that. I've also learned somewhat early on that sometimes it's better to disconnect a person from who they are vs. what they do, especially when the latter is valuable/worth having.
J.K. Rowling is a good example of this. She's definitely a very problematic person, but doesn't change the fact that she's made Harry Potter, one of the most beloved fantasy stories out there.
Idk tbh
Some people feel that way, and that's fine.
If I don't know them, I personally don't see the benefit of ruining something I enjoy because the person themselves aren't all that.
I see
Harry Potter sucks
Also lotr has cooler wizards
Question, is there a known value for the zeta function at 3?
As in, not just an approximation?
Let me rephrase ig
no, and also for further researching it goes by the name apery's constant
Yes?
zeta(3) counts as a closed form expression
I think I found a way to express it in terms of digamma and a factorial
So
Then that constant would have another form
Let me test it again real quick
Unless that is already known
Ok
I think I found a closed form expression which can show the value of any natural number for zeta(n)
Including all odd natural numbers
and I did it by complete accident basically
It might work for non-natural numbers, but idk
Let me write it down
Oh wait I can’t post pictures
Posted
Are there any cool finance servers? A common reason for SVBs collapse was having a lot of overvalued tech companies as business, I am interested in learning more about this in particular to understand what tech companies in particular
This also couldve been avoided had they properly priced the valuation of the companies and hedge their risk of being overvalued?
They definitely had the infrastructure to do this but it either didnt work or they didnt think of doing it
if u find one lemme know 
waatsooon
anyone know how to use excel spread sheets
It was mostly cryptoscams not "tech" companies
also, didn't they collapse because of a bank run not because of their investments
most of their investments were in US treasuries, bonds and mortage backed securites
Can I get help for a problem even if I know how to get the solution? (Solving it it's tedious)
Is this another problem that you know the answer to?
There's an algorithm but I'm slow as fuck

What exactly would this help be though.
Hello
Idk maybe I am doing it wrong or maybe I am too stupid
well why not open a help channel and present whats been done so far
I guess
It's only that I feel stupid cuz it's a thing that any computer could do and I cannot
that's weird
SVB wasn't invested into tech company stocks, they had startups, VCs and the like as depositors. what happened was that back when rates were 0% (effectively), SVB had very cheap funding and the way they monetized this cash was that they bought a bunch of treasury bonds that yielded a nonzero numher. as the Fed started hiking, the bonds lost mark to market value, people noticed, panicked, and this caused a bank run.
Yes a bank run
So their depositors had iffy funding and their bonds lost value because demand went down due to interest rates. I dont know too much about finance but why couldnt they do a interest rate swap?
Wouldnt that leave their main problem being the depositors?
no, the depositors didn't have iffy funding. the depositor is just someone who has a checking account with the bank. they thought the bank was going to fail and all rushed to pull their money.
and it's not the depositors' bonds, it's SVB's, right
if you're a bank, what you do is you take deposits. now that you have that money, cool, what do you do with it?
well, you can make loans, or you can invest it
now with interest rates at zero, SVB's client base didn't really need to take loans out - VCs and startups were swimming in money and themselves trying to figure out how to spend it
so SVB invested it. to bonds instead of t-bills cause of the extra pickup in yield
but meaning the money'd be locked in longer
but who cares cause the depositors are not going to leave, they have great relationships etc
so the thought process must've been that they're not really borrowing short (deposits) to lend long (treasuries), but really that the risk of people pulling money is small
they could have done all kinds of hedges to protect themselves vs a rise in rates
hello have u heard about something new
but chose not to. in fact i think they thought that a rise in interest rates will actually make them money (because they're not going to pass through the whole increase to the depositors, as per standard)
and it all would have been fine, until it wasn't
have you?
why sat_3 aint a honorable yet
sat_3?
So the problem was that they invested too much into bonds, what is this about pass through the whole increase to depositors ?
from:sat_3
the first thing I see is real analysis
no messages in any of the algebra channels
that means hes always asleep
SVB made a few mistakes
the main one was over investing in low interest rate bonds
give the man some respect
the other big one was having a totally undiverse portfolio
so that when the tech people got spooked they all spooked eachother
and there was no one sane left
that said, the bank was never really unsound, it lost some money but iirc no one thought it was a huge issue until the fear mongering started
they sold off a ton of their bonds at a loss, which caused people to think there were solvency issues that really weren't there
and the whole thing spiraled out of control way too fast
(the other part of this story is that SVB was pushing really hard for the removal of certain bank regulations that would have prevented the bond thing)
if interest rates go up, banks don't pay the entire increase to the depositors is what i mean that the increases aren't passed through. yet any increase will be charged for, and maybe then some, in e.g. banks' lending operations (be it mortgages or otherwise). thus it's not unreasonable for many banks to assume that they will actually make more money in a higher interest rate environment (and if i recall correctly, SVB in their stress testing scenarios were indeed assuming this). this works out if you think that the deposits are in some sense captive, or at least not super price sensitive (do you shop around for 0.1% better rates on a monthly basis and change banks?), but obviously in this case the deposits all fled very suddenly (forcing SVB to liquidate bonds and crystallize the mark to market losses)
herllo
Hi
Thanks for explaining its like you are a finance expert. Also its my first time hearing the word crystallize , investopedia says its closing an investment position. So crystallizing the mark to market losses means stopping an investment(in this case bonds) because the fair value of the bonds was decreasing
damn bro where did you learn so much about finance
is there any algorithim like newtons method that takes in a guess for sqrt(x) and returns an even closer number without using division?
yeah the babylonian algorithm
actually I think that uses division
since you have to find midpoints
how does the method work
I am trying to make a sqrt algorithim like the quake one, but idk something that doesn't use division
you want fast inverse square root without the inverse?
Yes
are you working on a game right now or you just want to find something for fun
you could do a taylor expansion
yeah
I'm trying not to use divisions
why





