#serious-discussion
1 messages · Page 137 of 1
4 logical cores 4 physical?
it has a pci x8 slot that is really x4
I mean F# still did not manage
i believe so

yes
I used it a lot earlier
hey I’m still getting 32 gigabit/s
It's just, many mathematicians would simply go for lean nowadays
have you heard of like, the proof of the four color theorem, the proof of the Feit-Thompson odd-order theorem
we should setup project
right now im working on integrating fpga
I don't care about hype
to a HPC clusters
you're reinforcing the hype
thats funded by the gov
I am simply stating that lots of resources are focused on lean.
like im documenting how the stuff works and its supposed to be used
in the HACC cluster from eth
After all, ecosystem is quite important.
so that a pepeg with a salary can replicate it
9000
@ moderators 
Not really, I am nowhere near convincing enough to 'reinforce' the hype.
It will keep rolling on by itself..
what if i just don’t buy a switch
and get quad port network cards
and then wire up 5 machines directly to each other
20 cables 
theres a lot of networking involved on getting those 4 pcs working as one
like a cluster
hmm
u would be better off taking old fpgas and buying an old server rack
bro how big do yo think the ecosystem of a 30 year old language is compared to a language fueled purely by hype is
Lean 4 is completely not reverse compatible with Lean 3 so there's not any ecosystem for Lean that's older than like 2 years
this is true
and its also the reason cpp > rust
anyday
Do you know ecosystem status of lean vs coq?
its about time on the market
There is so much more coq code out there than lean code for obvious reasons
You cannot possibly pretend that a language which has only existed for 2 years has a better ecosystem this is what i mean by feeding into the hype
Well,
As a mathematician I found few Coq learning resources which were suitable for me; the resources all seemed to be focussed on people with a computer science or type theory background.
I just found this ^
YOU FELL RIGHT INTO MY TRAP
You posted a Kevin Buzzard post
I do not mean Lean 4 exclusively, tho it is just migration thing.
Yes.
which I fucking KNEW YOU WOULD DO
HE LIES
HE LIES CONSTANTLY
HE IS ATTACHED TO LEAN AT THE HIP AND HE CAN'T HELP BUT SHILL IT EVERYWHERE ELSE
Anybody who thinks Kevin Buzzard should be taken seriously does not know what they're talking about. He has said more easily disprovable/false things about other theorem provers than i can count because he wants to sabotage them to promote lean
Isabelle/HOL, which uses simple type theory, is currently the leader in late 19th and early 20th century analysis.
Nvm, I forgot this one
sounds like microsoft kool aid
tbh
Anyway idk if Coq is used by mathematicians to formalize math nowadays
Like where is the mathematical formalizations, other than working with finite stuffs?
Wtf does that mean
Do you think this is all "finite"
you're talking about shit you don't understand https://github.com/jwiegley/category-theory
Yea I know and used precisely that one.
It is still in the works, I felt, when I used it.
..Are you seriously going to refer to HoTT
I guess Category stuffs makes sense but
i think hes saying this cause ryc called me a crank as a joke the other day for mentioning HoTT
In what field
Well just beginning research, but digging through algebraic geometry and knot theory
Got in as an assistant in a knot theory lab
I realize i'm coming on pretty strong in attacking you but I really don't like what you're doing by assuming at every point that Lean by de facto has the upper hand over competing proof assistants. I don't think it's a scientific way to have a conversation
Not really, I mean I think HoTT is meaningful and great. But that's not what e.g. my prof would admit importance.
Like I take it pretty personally that people just dismiss other software projets out of hand because Lean has all the hype
Well, I mean, part of this is from dissatisfaction about that exact library
mathcomp-analysis

So yea, maybe lean is not up to par with even this
I have written a lot of Coq code that I put work into and I really don't like the idea that we should just trash coq because kevin buzzard said so. i'm not going to buy that argument and i'm going to call out anybody who says this
That's.. stupid indeed
Like i'm not going to let my code become consigned to the dustbin of history because kevin buzzard is a hype beast who relentlessly shills lean
I kind of do not like how coq devs are not making any kind of compromises tho.
Ok. what compromises do you think coq devs should make
Also do you understand what subject reduction is
Nah, I would rather just use stuffs than understand the inner workings.
Ok, that's fine. What compromises do you think coq devs should make.
Not compromises per se
Subject reduction is nice to have, from what I recall.
So if quotient types can be managed ergonomically with it, it will be great
It was a few years ago, but I had hard time trying to implement a quotient type..
Maybe it is much better now?
First of all. subject reduction refers to the property that an expression like "2 * 3" can be well-typed (it's of type N) and after you simplify it to "6", it's still well-typed and its type is still N. Lean fucks this up so that you can have an expression which passes the type checker as being well formed but after you simplify it, it converges to something which is not well-typed. This is really hard to debug as you literally didn't do anything wrong, the type checker told you your proof or definition was fine, but then after you let the simplification tool normalize it to the simplest form, the type checker suddenly complains that it's not well typed anymore. And you're supposed to be able to treat definitionally equal terms interchangeably in any context, and there are lots of things that automatically simplify and normalize expressions, so the fact that these commands can suddenly break your proof for no clear reason is bad, and that's why the Coq developers didn't want to compromise on that. If 2 * 3 is well typed of type Nat, then 6 should also be well typed of type Nat.
Another thing that is helpful here to understand is that part of the research subject of homotopy type theory is about how to incorporate quotient types into type theory without breaking subject reduction. The concept of "higher inductive type" is exactly about this. I understand you don't think homotopy type theory itself is relevant to you, but normal mathematicians can use homotopy type theory without understanding it just like you can use Lean or Coq without understanding its inner workings.
I mean, how do you use quotient type with this homotopy type theory stuffs?
(Quotient set would be nicer, even)
Basically you would enhance the way of defining inductive types so that you can not just explain what the generators are of the type itself (like 0 and S for Nat) but also explain what the "generators" are of the equality type between two points (so, for example, you could have a generator of 0 = SSSS0 if you wanted to make the cyclic group Z/4Z)
Sure you can assume it's a set.
Homotopy type theory is also compatible with the law of excluded middle and the axiom of choice
Can you give a concrete example of defining quotient type?
Inductive quotient (A : Type) (R : A -> A -> Type) : Type :=
| proj : A -> quotient A R
| relate : forall (x y : A), R x y -> proj x == proj y
This is Coq-like syntax
The Coq-HoTT library includes something like this to let you axiomatize a quotient type
hey were you in maths olympiad server
I remember you
No. math-comp uses all features of Coq but the Coq-HoTT library restricts itself to the features of Coq that are compatible with homotopy type theory. There is a lot of interesting mathematics in the Coq-HoTT library but like, realistically Coq is mature and we don't want to break existing features so Coq adapting to homotopy type theory will be slow. I mean, it is happening in some minor ways. For example Coq added a feature called SProp recently which is similar to Lean's proposition type, and it is compatible with the univalence axiom, but it will take time for things to grow to support that, there's not really any code in the Coq-HoTT library right now that uses SProp (although i have written some personal code, I haven't merged it with the repository.)
Agda is a lot smaller language and they are fine with adding experimental features that can be turned on with a compiler flag. Agda supports something called "cubical homotopy type theory" which in particular has good support for quotient types.
Sorry, but no
@visual breach Sorry i'm being nasty to you, I apologize for my words earlier
oh then I met you from other server
Likely not, our only mutual server is this one.
There's agda-unimath
Yea, I think SProp is a move onto a good direction. Incorporating it is kind of a slow process though, which seemed problematic for me.
Well, not problematic, but in 'I cannot wait' kind of way.
It's fine, I am often argumentative for no reason time to time.
Are you talking about the community at large incorporating it or incorporating it into your own work
So I am worse in some sense 
Well, both I guess
I am not skilled enough to incorporate it into my work without much guidance.
oh i misunderstood what you meant here, the point is to have a cluster so i don’t mind, plus with these network cards and kernel bypass i can get latency down to a few microseconds 
but yeah the point is to have a cluster even if it’s worse than a bigger server machine
u want to set up a home lab?
no i just want to test out kernel bypass and rdma and that stuff
home lab would be cool but I don’t have a use for one
yet
Where is the language that is strictly finitist in terms of memory & storage, also lenght of computation (i.e. always forcedly halts)?
what makes a language finitist in terms of memory and storage?
guaranteed a finite amount of memory used?
well, that ought to be true if every program halts
i also don’t understand what you mean by this
there are programming languages that have been designed with the goal of being memory-safe and predictable, like Rust
and definitely not free from memory leaks 
Lean also has a “total” fragment that terminates
apparently necessary for languages with theorem provers
turing proved the halting problem undecidable
virtually all programming languages are turing complete
@untold sapphire You should check out assembly language step by step programming with linux. Best book on learning asm programming and the author is awesome
Oh, cool. Thank you.
I don't know much systems programming. It's always something i wanted to learn about. I have a copy of the bryant o'holloran book
I think most Lean programs are written in a Turing-incomplete fragment. This is true of most languages that double as theorem provers such as Coq and Agda.
Probably there's a switch you can flip that lets you write infinite loops but otherwise the compiler tries to check that all your computations halt
As far as I know there's no interesting logics which are both consistent and Turing complete.
One could have a programming language which always halts higher level programs on top of Turing complete hardware. The higher level programming would not be Turing complete except in sense that it might be possible to always increase the time before halting manually.
In a strictly finitist language there might be always an m, the highest possible number or longest possible string. There's an information limit for maximum program size, maximum size of the process a program can generate (for example recursion takes space because all the previous calls are stored in memory), and other such limits.
I have not yet grappled with this to be technical. The point seems to be as obsessive about making things finite as possible. Kolmogorov complexity & such things may be useful.
A good finitist system would also not have common (set theoretic) paradoxes and would have way to prove its finitism (possibly allowing the same proof assistant to be used for something else too). Typing is how this would be achieved.



sounds Nice if we ignore theres no such thing as turing complete hardware (since theres no infinite memory)
The idea is that the language, built on top of lower level of abstraction, can prove it will force its programs to halt.
Apparently, Erdös only filled 10 notebooks during his lifetime
I really wonder what type of large notebooks he used
Those must've been 10.000 pages each
Bro headsolved
he kept the rest in his memory🧠
Well ok, but alone writing down all his conjectures and theorems takes more pages than that 
indeed I figured notebooks stop working after you fill out 4-5 A4 notebooks 80 pages each
stop working? 
Hm, I think he wrote down a lot
It was reported that he would most of the time be seen with his notebook under his hand
you spend more time writing down stuff than it takes effort to understand it
But when proving stuff, you need to write something down or not? Lmao
sounds like he filled more than 10 notebooks
i don’t use notebooks
Lol
or when I do i don’t write down much, mostly exercises or basic shit the rest I do in my head
well, Hofmann wrote this
I think he's a pretty reputable source
Ah, this could be the reason, yep
He might've right away written his stuff up as papers, not counting into his notebooks
Also yeah, he might've used plain paper too
He may have only kept the essentials in his notebooks. I remember from that biography that he was always writing on napkins or on blackboards, etc.
i do that
Not notebooks, i usually scribble down ideas on paper, napkins and shit and they are strewn about my room lmao
I think he used a lot of loose paper
On many of his pictures he writes on loose paper
Reading a textbook like that is good but that assembly language book is superior imo. C in a Nutshell is the bible for C, there is the classic K&R book but it’s a bit outdated. I think the first 1/3 or so of the assembly book is about the underlying hardware.
One of the cool uses of assembly is in software reverse engineering
You decompile a binary back into assembly instructions and then can make sense of how it works
I took a class on that in undergrad and it was a lot of fun.
@neat lintel That makes sense. I have a bachelors degree in electrical engineering and I took several classes in computer organization and design and computer architecture. So I understand how assembly code works, and how a CPU works. I just don't really know systems programming proper, like, how to roll my own malloc or write an operating system.
ah, ok I felt like you knew too much about computers for a math major
writing an operating system is a big task
from scratch, get an OS to boot would be like a very difficult graduate level class
the dinosaur book is the most iconic operating systems text book. If you want to write OSes start there, and then just read every other book you can get your hands on. There is an awesome website dedicated to what you’re trying to learn
That textbook you’re reading is on computer organization and design. If you have a background in EE and want to start writing systems level code then it’s probably not the right book.
Really, you want to start writing code
https://www.powells.com/book/computer-systems-a-programmers-perspective-2nd-edition-9780136108047
I agree that it covers computer organization and design but I do think it is an adequate text for learning about systems programming. I can name at least two undergraduate curriculums that use this as the course textbook for a course on systems programming, although the coursework and assignments may diverge from the book.
I just googled "systems programming textbooks" and this was the first hit.
https://www.reddit.com/r/rust/comments/j7p7or/best_bookmaterial_for_people_who_want_to_level_up/
I think maybe if you look at the exercises which are traditionally given with the course you will see why people consider it a systems programming course
I have not heard of the dinosaur book but i'll write that down so i have a note of it.
It’s just got a picture of a dinosaur on it
Yeah, I found it from a google search.
Similar to "The dragon book" in compilers
Ok, cool.
I don't need to learn systems programming urgently right now for a project at hand or something lol it would just be nice to know.
Similar in terms of in the book projects. I still think for writing assembly nothing compares to that assembly book. C in a Nutshell is more a desk reference, not something you read cover to cover.
In my OS class I wrote parts of an operating system
like a file system, scheduler, some other little things
That's really cool. Before I really know much computer science I read a book for a general audience called "The Elements of Computing Systems" which walks you through a lot of aspects of the stack of abstractions involved in a computer
it contains some exercises where you implement some fragments of a basic os but like
it doesn't presume a lot of background konwledge and it's meant to be bite sized glimpses of everything
Operating systems is one of the most deeply technical topics in computer science
Having a math and EE background is pretty perfect for that
It seems really interesting. It's definitely a gap in my knowledge it would be good to fill
Need to get a new gaming mouse but I’m faced with a tough choice
Do I get the gpro super light which is currently cheaper and better but white or the more expensive normal gpro which is black and will match the rest of my setup lol
True dilemma
balck for sure
marginal performance benefits would never out match "sticking out like a sore thumb"

This is a good point, I also don’t no life CS anymore so I guess that I don’t need every bit of performance I can get
It is also £10 more for the worse version which is just meh
Decided to just bite the bullet and spend £30 more than the white one to get the better version in black 
I don’t even really know why, my current mouse is kinda broke but I hardly have time to play games anymore anyway
use tanenbaums and three easy pieces instead
i have it
i dont like it
three easy pieces is free too
Distributed systems is very cool
The world still has a lot of technological development ahead
The field of IT is yet to be standardized and perfected in its final form
Distributed systems goes beyond IT though
@reef carbon
Evaluating the double series: $I = \sum_{j=0}^{\infty} \sum_{k=0}^{\infty} 2^{-3k - j - (k+j)^2}$\
\raggedright let's use a change of variables : $m = k+j$\
\centering $I = \sum_{k=0}^{\infty} \sum_{j=0}^{\infty} 2^{-3k - j - (k+j)^2}$\
\raggedright we can switch between the sums freely:\
\centering $I = \sum_{k=0}^{\infty} \sum_{m=k}^{\infty} 2^{-2k - m - m^2}$ = \sum_{m=0}^{\infty} \sum_{k=0}^{m} 2^{-2k}. 2^{ - m - m^2} $\
\centering $I = \sum_{m=0}^{\infty} 2^{ - m - m^2} \sum_{k=0}^{m} 2^{-2k} $ \
\raggedright We simpilfy the geometric series to ease dealing with the rest:\
\centering $\sum_{k=0}^{m} 2^{-2k} = \frac{1 - \left(\frac{1}{4}\right)^{m+1}}{1 - \frac{1}{4}} = \frac{4}{3}(1 - \left(\frac{1}{4}\right)^{m+1}).$\
\raggedright By substituing the sum into $I$ we get:\
\centering $I = \frac{4}{3} \sum_{m=0}^{\infty}(1-2^{-2(m+1)}) 2^{ - m - m^2}.$ \
\centering $I = \frac{4}{3} \sum_{m=0}^{\infty}(2^{- m - m^2}-2^{- m^2 - 3m - 2}) .$ \
\centering $I = \frac{4}{3} \sum_{m=0}^{\infty}(2^{- m ( m + 1)}-2^{- (m+1)(m+2)}) .$ \
\raggedright let's view this as a telescopic sum of a sequence:\
\centering ${w_n} = 2^{-n(n+1)}$ and ${w_{n+1}} = 2^{-(n+1)(n+2)}$\
\raggedright Thus: $I = \frac{4}{3} \sum_{m=0}^{\infty}({w_m} - {w_{m+1}}) = \frac{4}{3} .({w_0} -\lim_{m\to\infty}{w_m})
$\
\raggedright and so we get : \
\centering $I = \sum_{j=0}^{\infty} \sum_{k=0}^{\infty} 2^{-3k - j - (k+j)^2} = \frac{4}{3}$\
\hfill$ \blacksquare$ \
Nebula ✨
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
Yeee
hi can someone help with an integration question
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
I’d like to ask y’all about the ceremonial ritual I need to do to pass calculus exam
ε
<@&268886789983436800>
Which calc?
If U and V are two open sets in Euclidean space, U and V are homeomorphic to each other, how can I prove that there're an open ball A⊂U and an open ball B⊂V, such that A and B are homeomorphic to each other?
In short, homeomorphic open sets in Eclidean space contain homeomorphic open balls
the ambient euclidean spaces may be different
If they be different dimension, then they not be homeo
that's what they're setting out to prove
Better in what regard?
cleaning
The difference is marginal and there’s a better option
which is?
Rubbing alcohol and hand soap (hold the water)
This is not medical advice.
have u done this 😭
no definitely not
why so
there are certain germs that hand sanitizers don't kill but soap and water does kill them
also any actual dirt/heavy metals/whatever gets removed by soap and water and not by hand sanitizer
Wash your hands with bacteriophages
There’s also the fact that like soap is easier to spread around everywhere, rubbing alcohol would only kill germs where you get it exactly. Soap kinda flows all around
rubbing alcohol, 70% isopropyl not hand sanitizer
can i ask in here???
abour?
Are these the same thing?
SCIENTIFIC COMPUTING
Machine numbers and arithmetic, error analysis. Nonlinear equations. Review of linear algebra: norms of vectors and matrices, scalar product. Solving linear systems of equations with direct methods. Approximation of data and functions: polynomial, piecewise polynomial, trigonometric and FFT interpolation, spline functions; Parametric splines and Bezier curves and B-splines. Solution of overdetermined linear systems and least squares: the normal equations, the QR method and the SVD singular value decomposition. Some applications of SVD.
NUMERICAL ANALYSIS
Analysis of errors in computational processes: inherent and algorithmic error, conditioning of computational problems, machine numbers and operations, algorithmic error analysis, forward stable, backward stable, unstable algorithms.
Numerical linear algebra: vector and matrix norms, matrix calculus.
Notable algorithms for solving linear systems. Remarkable matrix factorizations. Spectral and singular value decomposition. Iterative methods based on stationary linear iterations. Least squares problems.
Numerical resolution of nonlinear equations and systems.
I'll be studying scientific computing next year (computer science major), I was thinking about taking numerical analysis as an elective as I want to study data science & AI next. But I'm not sure if the two courses are on the same topics or not
they're pretty similar, there's a lot in the overlap but some differences
you could definitely learn the differences on your own relatively quickly
if there's overlap then i'll choose another course as an elective, thank you
Erdös found a grapefruit. He looked at it and looked at it and got a butter knife. "It can't be by chance," Graham explained, "that he so often used the dull side of the knife, trying to force his way through. It'll be squirting like mad, all over himself and the kitchen. I'd say, "Paul, don't you think you should use a sharper knife?' He'd say, `It doesn't matter," as the juice shoots across the room. At that point I give up and cut it for him."
-Hofmann
Just ask
so uh
essentially, i wanna use 5 cells to rng, but the whatever the sum of that rng will still be 100 all the time
=PRODUCT(RANDBETWEEN(0,100) * 1/5)
here is what i have so far
All solved thanks
@tranquil zodiac lets talk here
so you dont need a lot of physics to do quantum computin
fact is we kinda abstract it all away
essentially all you need is comfort with linear algebra
Right, I don't want to waste time studying classical physics if it's not really necessary.
I just don't know if it is a requirement for understanding quantum mechanics(and do I need to go through that?)
I do think its something you should eventually understand
but the answer is no, you dont really need to understand quantum info
mechanics*
you can kind of black box it, and consider it a new set of rules under which you do computing
Cool.
this is a quick primer on quantum info
see if you are comfortable with this
Thanks for the link, I downloaded it.
I'll definitely go over it
Do you think we're going to see quantum computing explode soon?
I have a feeling like quantum computing is going to take over and I sorta want in on it. Plus, it's super interesting.
eh I dont really work on hardware and stuff, it seems promising for sure
Its definitely a good investment to learn this stuff
What would be the next step after mastering this?
What's sort of the 'next level'?
theres some other notes here, i'd recommend reading all of them
and actually maybe just check out the course at large
next, you pick whatever you found interesting here and research more on it
this is specifically quantum info btw, doesnt touch on hardware, physical implementation etc
Nice. If I don't understand some of the math components I can fill the gaps like so.
Yeah
I mean, I don't do hardware stuff in CS either
I mostly focus on AI.
right makes sense
It's honeslty just super shrouded for me
I just don't know what the potential is
thanks a lot @light needle
mhm
is it OK if I hit you up sometime in the future?
I'll probably go into it in a few months once I'm done with my Masters thesis
eh if you have questions you should just ask in the appriopriate channels, but im also free to chat
Thanks!
microwaves sound like something a child made up
"my food takes too long to get ready what if I could have a machine that heated the food like really fast but then also you can't put aluminum foil"
there's no way microwaves are real
Aren't they kinda bad anyways?
Like it's more healthy to heat food on the stove than with a microwave
Or atleast so I've been told
theres nothing wrong with microwaves as long as your food is actually fully cooked
its just easy to be lazy with them and not fully cook your food
What's bad about cooking your food in the microwave?
Physics potentials?
Its a great way to eat bacteria if you defrost with them
According to some conspiracists, microwave causes cancer
Only if you don't cook what you defrosted afterwards, I guess
Cooking kills them though
Thawing doesnt
Yeah, that's why I said, if you just thaw with the microwave and then cook, it should be fine
Have you ever recooked your food ?
I don't really cook, looking at this from a very theoretical viewpoint 
Lol nerd
But yeah you can attempt to recook food
It really depends on what it is
But most times its gonna taste like shit or be inedible, there isnt too much room for error between recooking and reheating
Rebaking old bread apparently makes it soft again
Thawing deepfrozen bread in the microwave and eating it right away afterwards makes it taste very muddy and weird (not bad)
I never froze bread
French bread I find quite painful to eat somehow
I know I know
Heathen
But still
@alpine comet especially Parisian, you get what I mean right?
Is there a convention you should use when splitting multiple lines of equations in latex, with a comma or something?
For example, you have something like this image which uses nothing to split the equations (no comma)
But then, you could do something like this and add the commas
to me it is kinda jarring when separating multiple lines in say an align* environment is not consistent (the two images are a part of one solution), so I was wondering what people mostly use to separate multiple lines
That is very interesting
IMO in that first pic there should be a comma after the pr
I view equalities, even when chained, as single objects that are not separated by a comma
hi
do any of you believe in god?
yes
Why?
What did you expect
I have no idea
Why do you ask?
well i used to belive in god but now that i think about it i dont anymore
Didn't know it was possible to draw on desmos
it is
I'm about to go troll a religous server
cool

I failed
why are you guys doing this
Why?
trolling is a hobby, it's like asking why collect comic books or something
"do something productive instead of taking ownership of printed copies of illustrated stories"
But tbh I was gonna do it cause I'm Atheist and wanted to see their reactions
Christ that's obnoxious.
I'm not particularly religious, but live and let live. If they're not bothering anyone, leave them alone.
If they are bothering people, then there's better ways to deal with it than trolling.
Like I would see the point if they are knocking into your door and try to convert you rn
But well, why visit them voluntarily and do that?
Sure. I'm also fully in favour of fucking shit up if they're a homophobic church or something (the gay house next to the Westboro baptist church is amazing). But if they're just a religious server not bothering anyone, that's just ridiculous.
Some do! Christianity in America is split across about a hundred or so denominations that all have differing opinions on queer rights.
Ah, so there are just too many
Still, I can only imagine up to being against same-sex marriage
Some are more than willing to perform gay marriage and ordain gay ministers. Some actively want me dead! And just about any stance in between is held by some church or another.
I see
(I should clarify, I am a gay)
No offense, but tbh I see the point of being against same-sex marriage, its tradition is connected with child birth
Not that I agree with this but anyway
I'm opposed to same-sex marriage too. But that's more a side effect of my opposition to all marriage, straight or gay.
Now we are talking, that's the spirit!
Like it's not the same-sex part I take issue with
Yeah, these days marriage takes way too much e.g. money (and sth else i forgot)
Why do people still marry?
It's also a heteronormative, misogynistic institution that dates from an era where women were the property of their husbands.
<- In great danger of offending lots of typical people
Misogynistic? Welp I did not delve in that one, would be great if you elaborate!
If you want to be traditional about it (i.e., get married the way people our grandparents' age did!), there were very well-defined gender roles within marriage. The husband was the primary source of income and in charge of the household
One sec
<@&268886789983436800> fuck this guy
....
Opposition to marriage was a fairly mainstream stance within queer rights activism right up until about a decade ago
Hmm, gender roles yeah
Oh no, what happened
Marriage is legally advantageous
Gay marriage won out over the desire for people to abolish the traditional institutions of power
And it wasn't going to go away
that's not really appropriate language, please be respectful and courteous at least
Ouch. Excuse me wh
So it essentially becomes a right denied to the gay subset of the population. I would have pivoted to gay marriage instead of marriage elimination too
Yeah. All well and good for those able to fit into a homonormative paradigm, but shitty for just about anyone who doesn't want a white-picket fence and two-and-a-half kids.
I mean don't get me wrong I'd much rather live in the world with legal gay marriage than a world with only straight marriage
But I wish we'd done away with it altogether
Yeah, it is just drawing another line, but this time between just homosexuals and queer people
Also true, now thinking about it, marriage has been one of the "tools" that still gives strength to the segregational ideas.
In particular, as a result of the traditional gender roles in marriage, it forces queer people into fulfilling the same traditional roles. It's not husband-goes-to-work and wife-stays-at-home-and-raises-kids anymore, but it does still force people to fill some of these roles in similar ways.
i remember thinking that marriage should be split into secular and religious (which it kind of already is) but idk if that really solves any of the problems
Oh also fuck poly people I guess
Getting rid of marriage as a legal institution is like "lol, no" levels of politically impossible
I am witnessing the issues from these gender roles lol
Like, I'm not personally poly myself, but shitty that we're still actively discriminating people who are
Encouraging people to work, yet someone still has to grow the children
I wish we had a more rational way to form legal families with the protections and advantages of marriage
It shouldn't have any thing to do with romantic relationships necessarily
There is this makeshift system that is daycare service for kids, but.. still not working imho
Not to mention, marriage has the fun side effect of forcing people to be together. If a relationship lasts forever, that's wonderful! But a relationship can be beautiful and also run its course, and marriage as an institution doesn't reflect that reality - instead it forces people to remain together long after they should have broken up, and what could have been salvaged to at least friendly terms necessarily becomes hatred.
I heard this was a thing as well, sounded like a great proposal. Was not accepted* iirc, tho
Also maybe I'm just a bit paranoid, but I'd rather avoid being gay married on an official government marriage registry in case things go sideways for gay rights again. Even in America, Lawrence v Texas was within our lifetimes.
marriage, tax breaks, that sort of thing are to an extent an expression of the government trying to make it easier / encourage people to actually have kids
consciously or otherwise
I'm a shitty person and a coward; I'd like the plausible deniability to at least say "wait wait you have no proof I'm gay!" if the fascists kick down my doors and try to kill me.
yeppp i've thought about this
Uh, is it
I think at least marriage isn't, for now.
They're not encouraging people to have kids, they're encouraging people to have kids within a certain pre-approved familial structure. Fuck you if you want to raise a kid with your two best friends that none of you are into eachother sexually, for example.
Also you are free to not give birth to a child when you are married
Yep, imho it is more for preservation of the traditional structure
If the government actually cared about the wellbeing of children, they would make it easier for single/unmarried people to adopt.
..which also carries the mysogynistic notions, yk
Imho any group of mentally fine people could grow children (idk, maybe not?)
Anyway yeah this is a fairly "sus" stance that I'm taking!
Au contraire - I don't think two people is enough to adequately raise children in a healthy, functioning manner.
Oh, right
Even traditionally, I heard entire large family was involved in raising child
(Also, the nuclear family structure is basically designed to maximize dysfunction)
(Or do you mean one person is better?)
Wh.. wait
Nah. My ideal child-raising strategy would involve multiple families working together.
True, that's mine as well
Have you ever met a nuclear family that's not grotesquely dysfunctional?
Force a group of 3-5 people to live together for 20 years in a high-pressure environment without options to interact with other people and I'd be shocked if they didn't hate eachother at the end of it
Not like, some guy literally sat down and designed it to maximize dysfunction. But the dysfunction is an inevitable consequence of the nuclear family structure.
??
Indeed, it is hard for people to stay together like this, fairly isolated from others
Need something analogous with extended family, but better
From the kids perspective, allowing kids to interact with more than just the two people they're forced to live with because they had the same parents would be nice. Let people become close friends with those they're raised alongside! Sure, people will be closer to some than to others, but that's fine! The Wright Brothers were the best of friends, but were 2 out of 7 kids, for instance.
what's that old saying, it takes a village?
From the parents' perspective, more potential caretakers is a great idea! It makes it easy to take a day off, to allow people to fill certain niches in raising kids, etc.
What do you think is the main obstacle to this
The existence and perpetuation of the nuclear family structure
The model that I'm proposing also works best with sedentary communites, whereas I think modern American society would be better described as semi-nomadic.
does your definition of a nuclear family mean that they are completely isolated?
I mean, idk what makes nuclear family structure so persistent
It's not ideal in any sense.
i strongly disagree that the majority (source needed) of families hate eachother
Not literally isolated from the outside world. But it supposes that the mom, dad and siblings are the core, most important group, and everyone else is secondary. After curfew at 8PM, or when you're home after school as a kid, that's who your options are to spend time with except for special occasions (play dates, for instance)
A larger, more dynamic family unit would be more accommodating to allowing people to just... interact with more people in a positive manner.
Not that a family hate other family, more about how family constituents get into conflict so frequently.
i meant hate within, in reply to this
Also if you're pissed off at your two designated adults, you don't have an easy recourse in the current popular model. A more dynamic family structure would allow me to leave my parents and live with my uncle or grandmother or next-door-neighbour relatively safely and easily as a kid.
This shall be necessary imho
Abusive parents are the worst.
Hate is not necessarily a permanent state. The majority of families don't all hate eachother at the same time. The majority of families have all gone through phases where kid A hates kid B, where the parents can't stand eachother, where the rebellious teenager hates their parents.
In particular, a lot of these tensions go away once the kids move out and renegotiate their relationships with eachother and their parents on more equal terms, without seeing eachother every day. My relationship with my dad and one of my brothers is stronger now than it's ever been, and I haven't seen them in close to 2 years by this point.
Yea, isn't it so magical?
Also, cousins argue less than siblings (at least stereotypically), kids get along better with their grandparents than their parents, etc. under the nuclear family model.
i think that's mostly because they spend less time together
Exactly!
arguing and conflict is how growth happens
maybe it's not the only way for that to happen
I'm not sure if I agree with that. I argued a lot with my brother and mother as a kid, but I was fairly static as a person while that was ongoing. I grew and matured significantly more when I left home and didn't get into fights as frequently.
(In this case, I "left home" at like 16 - I was not an adult. I was a runaway for a bit, and moved in with my dad)
With the brother I get along with, even just a few weeks apart was enough time for us to decompress and actually get along.
i guess i was fortunate to have parents that encouraged introspection
I think that much good parents are very rare
Making it easier and safer and more acceptable for kids to up-and-leave instead of being forced to fight and argue I think would just make things healthier for everyone.
I mean, my parents certainly never encouraged introspection.
Indeed
My dad did to an extent
Mine somewhat encourages introspection, but was not done well
But he's not particularly intelligent, so it wasn't great and also there were definitely topics where introspection was a bad idea due to other surrounding factors
Also what helped is that there was remnant of extended family for me, so I was able to get along with cousins
(for instance, introspecting about sexual orientation and gender is a really bad idea if you live in a country where gay sex is actively punished with jail time)
Oh no
Yeah if I grew up in America closer to my extended family I think I would have had a happier childhood. It wouldn't have been perfect, but several of the worse aspects of my childhood could have been avoided.
Indeed.
damn
how can we distinguish them from multiplication
how can i know if 2⅖ means 2 times ⅖ or 2 and ⅖
No one uses them past like age 10 so you'll be fine
I am 18
Why the hell do children have to learn them
i also dont like mixed fractions its confusing notation
if they are useless
see thats what i am talkin abt
im not sure, maybe it is used irl? i dont recall having to use it recently though
lets invent new notation guys
Feels imperially
Oh right
when doing anything with inches and feet
Definitely
its been a few years since ive worked with wood but yes
i usually see stuff with mixed numbers, like in a bottle they say 1 and 1/2 litters
why not just a fucking +
hey guys, I have a graduation project that is to be FULLY done next year however I need to get a first prototype ready in 5 weeks. I'm struggling to find an idea thats unique and good. So I wanted to ask if anyone has any ideas that can help me I'd prefer if it includes some STEM subjects and some programmng but as long as its a unique and useful idea it would be great. Btw preferably the project should have a purpose or a goal to achieve so yeah ok thanks
But do they write it as 1½?
ok a plus is sort of obnoxious there imo
ye
But also a 3/2 is also kind of dumb
I can't remember if I never see this anywhere or if I do see it often and am just used to it
i’d take it
Its sort of the middle ground between decimal and fraction
I see 1.5 L
1+½ is way better than 1½
Because you can see the number of whole quantities and deduce quickly the excess
idk abt that for me personally
I would think at some point people got tired of writing the + everywhere
I think in practice its totally fine to use mixed fractions in labeling things
we never concatenate literals to denote multiplication do we.
but for actual mathematics its not worth
Yeah I would probs use a dot if I was doing like 5 • 1/2
yea you only use multiplication with more complex numbers, like 5x or 2i
In the US, zoning laws play a big factor in ensuring the only types of houses that are ever made are for nuclear families
Besides that there are societal stigmas, familial expectations, etc that can hurt you if you don't conform to the norm
Plus the nuclear family assumption is basically written into the law/tax structure
#help-8 message @neat lintel would you mind telling me what you meant when you said "KFC type language" here?
i'm curious to know
Russia 
Seems like a joke lol
no, Bulgaria
i don't understand the joke then
shuri do you england
i meow
🐱
i cat and deer
hey i'm studying diff equations and i'm not sure about something about frequency
in the formula
ae^-rt cos(wt-phi)

they call w pseudo frequency
<@&268886789983436800> likely racism
It might be if you refuse to elaborate on your intent.
so i undertand that if i want to check 2pi later i should add 2pi to what's inside cos()
so
cos(wt + phi + 2pi)
but this tells me nothing. If i rewrite this way
cos(w(t+2pi/w) - phi)
it's the same thing but the 2pi/w now represents the ... period?
forget about the minus or plus before the phi, i messed up should be minus.
banned
💀
ok but tell me: what's the correct interpretation?
if it's a joke, can you explain the joke and why it's funny? if it's something else, what is it?
they're not in the server anymore
they won't be telling anything 

for the record, I had absolutely no clue what they could have meant
kfc type language?
yh
also if u wanted to discuss math, the discussion channels rnt the best place for the best reception
I think they meant fried chicken
but this is the math server smh

i proved a whole theorem in the lounge yesterday

yeah tbh if they were trying to be racist the offense got completely lost on me
i'm out of the loop but i see a connection with racism here
a quick google search will reveal a connection between black people and chicken.
Where can i ask for math help anyway?
so this is misc chat?
well if thats what they meant, then they would have been terribly misinformed
no surprise
No
i mean - the alphabet is cyryllic looking 
We don't need a music chat cuz I can sing
misc = miscellanous
Да ну
What theorem
wait did i miss an epic racism moment?
Yeah check the comments about Belgians being stinky. (Just kidding).
something about the adjunct of xA where A is a matrix
adjunct of xA?
random question: how do fields of math get named?
i did
what's the etymology behind the names?
Isaac Newton and Gottfried Leibniz are both credited with the invention of modern calculus in the 17th century. In Latin, calculus means “pebble.” Because the Romans used pebbles to do addition and subtraction on a counting board, the word became associated with computation.
got it from a google search
what about the etymology behind real/complex analysis, or abstract/modern algebra?
dawg just use google 😭
it doesnt tell me where the names came from :/
Oof Kayo
Can anyone refer me to an Economic Discord server where I can ask questions related to it?
O
What is xA supposed to be
Ok lol
linear algebra stuff :D
Not gonna use the typical letters tho
the typical letters? 
what would you use instead?
a,b,c usually used for constants sometimes k.
m,n used for integer constants.
x,y,z,v,w used for vectors.
Capital letters are matricies
well I feel like xA is probably more clear than aA
Yeah thats why you use kA as an example
xA can give impression that you might have meant x^TA
Thats what I first thought atleast
Yeah xA does make me uncomfy
mA or cA is better than aA
αA
can anyone help with proofs
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
v,w instead of u,v,w huh
Noted
You can use u
I mean you can use whatever but in the convention cofe is talking about u is often used for a vector
Common w
common u,v,w
Hey guys. I'm doing online school with shot hour classes, with only about 2-3 everyday. With additional homework. But I have extra goals and subjects I self study: Spanish, Guitar, Math, Neuroscience.
I can make time for this all with a good schedule and time management, right? But I might have to work harder?
My recommendation - pick up one extra thing at a time. Go a week and see if you're on top of your online school. If you have plenty of free time, add Spanish guitar. Go another week or so. Still have free time? Start self-studying math as well, go a while, see if you're still feeling good.
That way you avoid burning yourself out immediately, and can build up the work ethic to do all these things.
It goes without saying, if you add something and then don't feel like you can add more into your schedule, that's a good place to stop adding stuff to your schedule.
Prioritize. Which of this 4 thing is more needed
you will not be able to study anything to a good level if you do it all
it's just too much
hi can someone help with an integral
if its not that hard, maybe, but if its even slightly normal level im screwed
How ru so wise ??
Shit yall adults r doing some crazy shit
From Monty Python and the Holy Grail (1975)
hiello
who is ello
what if when you die there is nothing except a floor and everything is white but then there's a buttonm on a raised structure and it says below it "don't ever push this button" and the button is bright and red and when you pressed the red button all it does is you would forget that you pressed the button
that would be moderately funny i think
let a be me (who is a man) and let b be my friend (who is also a man). because i don't like myself, and friends must like each other, we can logically conclude that a neq b; however, this contradicts the u.s. declaration of independence that says that all men are created equal, so by the principle of explosion we can now deduce anything, including the fact that you are wrong.
Hey guys are any of you in the Chemistry discord server linked in the network channel?
I'm inside it yes, but I don't do much
why
Hey guys, good evening
Damn, how it can be wrong
Guys, do you know how to get springer to cancel an order that I didn't request, I have sent 3 emails and they don't answer me.

Call
have you called your bank?
take springers money and they will do something XD
@pulsar pagoda my shitty mini pc and network cards are arriving today 
will post pics
it’s gonna be so jank with the naked network card just sticking out of the mini pc in the open air 
u could buy a cheap fpga put it on the m2 slot
and we could do some shit
idk
I ordered two books, thamba linear algebra and sheldon linear algebra, and then I got a notification that I had bought the same sheldon book again without having done anything, I thought it was strange, and I am working on it but they take 2 3 or 4 days to get back to me.
Can you call Springer?
Yeah, you can
That's probably the fastest way
good luck 🫡
lol i remember i bought a ton of parts to build a pc the case was coming a week late i wanted to play so bad i just stuck everything on the motherboard and powered it XD
how much does a cheap fpga go for?
need one that fits on a x8 slot too
200-300 dollar
Is there a word for division analogous to multiplicative?
I think multiplicative implies this, no?
assuming you mean f(xy^-1) = f(x) f(y)^-1
I literally just mean the word
I am writing something and I am saying "we can think of this in a multiplicative manner"
and I want to make analogy using division and am now wondering if such a word exists
Googling hasn't given anything
Gusy
For linear algebra is 3b1b too superficial?
or Brilliant? idk what would you recommend? I know almost nothing about the maths related
you cant learn any serious math by watching 3b1b (although he is good at building intuition)
Mathematics is a thing that you do, not a thing that is told to you.
The two textbooks I have learned from are Shaum’s linear algebra (more application based) and Hoffman and Kunze (more theory based)
or it's a thing that's done to you
after these months i now have 23,735 pings from this server 
interesting
update: turns out mellanox nic's need active cooling 
😆
it's running at like 65 degrees idle lmao
im not even sure how to install a fan onto this mini pc
let me send pic
and use it open
what the hell speed is this nic running at, that it needs active cooling?
well it's a 25 gigabit nic
and i put it on a mini pc
ahh
it's not really even a case....
one sec
the mini pc is fanless by design
and it has an external pcie slot 
Woah
no, the card is 65C
ohh ok
You made your own micro pc?
according to.... this command i installed
no i bought it
well 65c is 149f, does it feel hot when you touch it haha
maybe a little desktop fan blowing across it will do the trick
yeah..... im just not sure what to plug in the fan to
like a person-cooling fan as opposed to a pc-cooling fan
oh, like a regular fan haha
yea, i mean if it's external to the case it seems that could work
why the hell does it run so hot when idle, i wonder
do you see anywhere on this motherboard that i can connect a fan? cuz i don't
the amazon description says it does
i found it from a youtube review https://www.youtube.com/watch?v=mZBmgRgY2bc
We take a look at an awesome fanless project PC from CWWK. At around $200 for the barebones, it has a lot of expansion options.
STH Main Site Article: https://www.servethehome.com/cwwk-crazy-a-small-6w-tdp-cpu-homelab-super-system/
STH Top 5 Weekly Newsletter: https://eepurl.com/dryM09
----------------------------------------------------------...
yeah i'm just using the mini pc for convenience, i want to test these enterprise grade network cards
desktops are nice because they're upgradeable, but also a pain to lug around when you move
Many here take the education system so seriously that the whole thing damages their intellectual development. I only feel disgust when someone speaks of "courses" and "hardness" or "difficulty" of books.
In sense of "level", EG beginner books, "advanced books."
I mean yea
baby rudin is hard bro/broetee
broette*
You know from experience it has parts that take longer for you. You take other works & use them to continue learning.
Is this method of studying texts analogous to path finding algorithms? How?
Your name is a half life reference
I see, heh
Are there any REUs or other summer research opportunities for the field of Mathematical Physics available to undergrads?
I am hoping for an intersection of Geometry, Topology, and Gravitation
Mathematical Physics REUs definitely exist. I did one on lattice models. But you might not find the exact topic you wanna research.
In geometry topology and gravitation? no lol
I've been in this exact situation last year
hey can i ask quicq question on here?
They weren’t gravity. But some people I knew at my university did mathematical physics REU’s on topology and geometry.
At any rate the question was about the existence of mathematical physics REUs period. Not necessarily only those focused on topology, geometry, and gravity. The answer is a definite yes.
?
Yes.
waht is arbitrary set or what does is mean what should i understand
Are you asking what a set is?
"undetermined; not assigned a specific value" says on internet but
no arbitrary set
I would think that’s just some set but you haven’t specified which one it is. This way you can prove a result which is true for any set.
any senumerable set contains finite set or arbitrary size
ok it is contains finite but
what do i learn from containing arbitrary size
or what should i understand
By enumerable set do you mean a countable set?
I ask because enumerable is also commonly used to mean a computably enumerable (or recursively enumerable) set and these are different things.
You may be interested in the von neumann ordinals. https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers
natural numbers are implemented as finite sets and N just contains all these finite sets.
In set theory, several ways have been proposed to construct the natural numbers. These include the representation via von Neumann ordinals, commonly employed in axiomatic set theory, and a system based on equinumerosity that was proposed by Gottlob Frege and by Bertrand Russell.
yes it written under countable sets
i mean denumerable btw
thank you anyway @wooden falcon
is there a word for nostalgia that feels more disgusting and empty than sad or moving
idk, but I get this feeling
regret maybe
Do you know where to look for these math phys reu's?
Specifically anything involving topology/geometry
They were on my university’s math department website. Internal REUs. Maybe your university will have some on its math department website.
What is that feeling when you remember something really cringe you did in like middle school or highschool 😂
Unfortunately it does not on my end.
@neat lintel yo random but what note taking app do you use
the default apple one
the one that comes installed w every ipad and iphone
i see
define an iterative function
How many iterative functions are there?
Non-yes/no questions are hard to come up with.
Do you mean, recursive?
Otherwise this just sounds like series.
how do you check (add 1)
what is up armadillo being
Not much. Currently wondering if an index free approach to tensors is worth it.
What’s up fionaToday?
Ah I see. Hope the breakfast was a good one
it was!
excellent
I would always try to learn index free versions
to understand how stuff works on a more conceptual and abstract level
can make many arguments shorter
Index free version of what?
Oh
The one thing index free version doesn't do as well as more traditional approaches is contractions
Penrose talks about this in his Spinors book
It's part of his motivation for his abstract index notation
Indices make it clear what parts of the tensor are being contracted with the other tensor. There is more ambiguity about how you contract tensors of rank >= 3 without specifying some part of it
Ah, I can't send images here
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My main hesitations with going index free is that index (especially abstract index) automatically makes many expressions manifestly equivalent and expressible. For instance a fundamental thing with vector spaces is they with the tensor product form a closed symmetric monoidal category.
Index notation has basically modded out by the associatiator natural transformation and curried things already. And it is seamless to express swaps because the slots are labeled.
By contrast, the naive method of index free has incredible redundancy. The expressions are not manifestly associative. They are not curried. swapping takes way more symbols to express than with the indices.
I think some of these difficulties can be overcome by doing index free differently. For instance I really think I should curry everything by default to take care of associativity and the currying. But the fact remains it’s still much less practical for calculations. But I think index free is likely worth formulating, if at least as a starting theory and perhaps as a final presentation of an equation even if it’s not used for calculations.
i am an abstract index notation enjoyer myself
why is programming hard extremely time consuming?
Everything requires hardwork and time. Holds the same for programming
computers do not think like humans
reasoning about a computer’s behavior can be quite difficult
your new what
guys help
how is cos 0 = 1 and sin 1 = 0?
ik i have to use unit circle but i only get it if its angles (ie. sin 90 degrees or cos 90 degrees)
sin(1) is not 0
but how is cos 0 = 1
cos(0) is the x value in the pair (1,0)
what is this
Hello chat
If I can get through three chapters of analysis today, then I will have finished my analysis book before the class it's for has started
🙂
I heard it's fairly common for people to get a bachelors in 2 years and now I feel confuse
Hello,I have been studying abstract algebra for a period of time and I have build a good knowledge on Group Theory,Ring Theory,Field and Galois Theory using HungerfordAlgebra.As I noticed I can’t learn any new things using this book,I use Serge Lang’Algebra instead.Could anyone advices me on using this book?
You have built a good knowledge but you canät learn new things? dont undestand the question sorry
how the flip would someone get a bachelors degree in 2 years??
I got mine in 2 years, but I went to a CC first
oh yeah, same, but in total I have never heard of anyone getting a bachelor's in two years
maybe like Terence Tao or Stephen Wolfram or those type of people
3 years total is doable for sure, with college credit in highschool
2 years is probably doable to, but would be close, idk if I could do it with the requirements they have in my state
i guess the point is @dense hornet dont feel bad if it takes u longer than 2 XD
why Biochemical Engineering is so underrate
To me CC counts as college if it's not done during your highschool years
i met a biochemical engineer on my flight to Ohio he does some pretty cool stuff they genetically engineer bacteria to produce different chemicals and vitamins @exotic sedge
I agree. Do you have a Bachelors too?
Anyways it took me 6 yr plus 1 unintentional gap year cuz I'm fucking stupid 
in Puerto Rico its like 6-7 years to get a bachelor's ???
haha same I am on year 7 XD
I'm one semester away from completing this BS 💩
Oh nice. What major?
Aerospace with a minor in Applied Math
Very cool
i can said Biochemical Engineering its like chemistry with cell atcg code rule adenine thymine cytosine guanine its just ez chemical compound
all numbers are equal to zero
becuas eall numbers over infinite are ewaul
then you multiply them byy infiniti and there still the same
so all numbers are equal
i'm assuming you mean profile picture?
we normally abbreviate this as pfp rather than pp, as pp is more commonly used to refer to a penis
wow
the entire thing is just 3 years here, it can be very conceivably be done in two (by most people even). If you mean US bachelors which take like iirc 4 years that starts to sound more like a logistical limit
not a lot of jobs, poor earning potential compared to other engineering
good major for premed
its very common for engineering degrees to take 5 years in the US, 5 is actually pretty typical
ive never heard of someone completing one in two years
unless they mean they already had an associates dehree
they wouldnt even let you try to schdule ten classes per semester
There are a lot of 5 year bachelors + masters engineering programs, like Cal Poly San Luis Obispo
They are even trying to add that to the physics department at the school I am studying at rn
could always attend two different colleges to get around that
hard drugs
maybe take calculus, it taught me geometry
Take college geometry?
Differential Geometry
std::linalg in C++ 
eigen ?
They're adding std::linalg
https://cppcon.org/
std::linalg: Linear Algebra Coming to Standard C++ - Mark Hoemmen - CppCon 2023
https://github.com/CppCon/CppCon2023
Many fields depend on linear algebra computations, which include matrix-matrix and matrix-vector multiplies, triangular solves, dot products, and norms. It's hard to implement these fast and accurately fo...
omfg
it's happening
hi guys am new
cristopher ronaldo sewye
Heyo gaiz?




