/sci/ - Science & Math

It's based. It's literally the math of our reality-simulation.

>>10251519
What are you talking about? No it's not. Analysis is that.

>>10251522
>believing that continua exist in simulated realities.

>>10251525
Linear algebra also contains continua. So how is your original point valid then?

>>10251530
>what are vector spaces over finite fields

>>10251531
What is one particular thing in linear algebra that does not contain continua?

>>10251531
Which finite field is used in describing our simulated universe?

>>10251514
it’s unironically fun desu
feels like playing mathematical touhou

>>10251559
Yikes...

>>10251514
Save your tears
/sci/ don't cry ever

FUCK tensors

>>10251623
Nothing personnel kid

>>10251639
After a few months, though, I realized something. I hadn’t gotten any better at understanding tensor products, but I was getting used to not understanding them. It was pretty amazing. I no longer felt anguished when tensor products came up; I was instead almost amused by their cunning ways.

>>10251623
is this really what awaits me after vector spaces

>>10251692
The tensor product of vector spaces is a vector space, so you're good.

Lin algebra; 1) learn how to Gauss 2) memorize 20 theorems.

You now in the top 20%

>>10251701
but the reason i made this thread were vector spaces and bases

>>10251706
Then you're fucked

>>10251707
I understand it all conceptually but when I try to solve problems I don't know how to figure it out

>>10251623
>>10251649
when I learned about tensors in linear algebra class, I didn't understand shit. I got A from the exam, I could prove the theorems (all this universal property crap), but I never quite get what are tensors "really" about. It was differential geometry where it clicked and I understood why are they useful, why it's important to understand them, and why "tensor is something what transforms like a tensor" is actually a very good definition, even though mathematicians hate it.

I'm a biology major and I liked vector spaces :-)

>>10251724
Nice try, but we all know biology majors can't use computesr :-)

>>10251514
this
it's also boring as fuck

>>10251734
I know right
What part are you on

>>10251623
HAHAHAHA LMAO it's literally just a function DUDE IT'S a relation between two vector spaces HAHA

>>10251770
It's fucking easy mate

>>10251540
>Which finite field is used in describing our simulated universe?
[math] \mathbb{F}_1 [/math]

>>10251845
reddit tier

>ywn be an abstract tensor existing only as a non-sentient mathmetical concept

>>10251514

Room temperature IQ detected

>>10252025
reddit detected

Linear algebra is fun!

>>10252134
>being a pedophile

>>10252137
I can't relate to that, sorry

>>10251724
Based

>>10252152
i'm sure you can't.

>>10252134
Did ypu take mit 18.06 by prof. Stang
What book did you read ? LA done right?

>>10252276
Nope, but I took LA before calc so the novelty of doing higher level math kept the subject engaging. I read Hoffman & Kunze.

>>10251519
>>10251525
Anyone who posts seriously about simulations should be banned from posting on /sci/

>>10252031
Room temperature in C IQ detected

What I dislike about linear algebra is that its a lot of calculating and not a lot of creative thinking with proofs like I do with analysis a lot

>>10251514
Because it's so sexy.

>>10252757
- took matrix methods for engineers

>>10252894
why do engineers come here

>>10252894
I took the first year math course on linear algebra at my uni

Sure, there were proofs too... it's just that most of the course was calculating

>going back through legitimate lin alg to prep for functional analysis
>it's all a bunch of messy fucking garbage full of shitty induction arguments and obvious statements with god-awful proofs
bring me back to analysis bros, this is way worse than i remembered it being

>>10254381
Fun anal doesn't actually take all that much linear algebra.
Know what's a basis, Gram-Schmidt, the general properties of bilinear and skew-bilinear forms, eigenfun for specters and you're golden.
But you absolutely better know measure theory and topology,

>>10254394
Well of course I know measure theory and topology, those are not utter shit.
It isn't as though there's that much to go over, it's just a bunch of obnoxious algebraic garbage instead of the actual interesting stuff which comes later.

>>10251514
Watch this:
https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
and read this
https://www.springer.com/gp/book/9783319110790

You can also check this:
https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8
especially for the determinants

>>10251790
dude what the actual fuck am i looking at here. in english please

>>10254562
Penrose's autistic tensor diagrams

Jorban Bormal Borm

>>10251790
what the fuck

>>10254188
Your course was shite then. There was maybe 5% calculation in my first-semester LinAlg course, the rest was proofs.