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Hi @vaporeon_ I forgot to ask last night if you were familiar with the formulas

sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

?

@wallhackio I have heard of these formulae before, but I do not remember how to prove this...

re: math 

@vaporeon_ in the end, though, you don't have to prove these if you want to know where a rotation matrix comes from. vaporeons are allowed to take the formulae for granted

re: math 

@wallhackio @vaporeon_ I don’t even know what the fuck a rotation matrix is

re: math 

@cam @wallhackio Are you aware of vectors and matrix-vector multiplication? For any amount of degrees θ, you can construct a matrix, such that if you multiply that matrix with a vector, the vector will be rotated by θ degrees. And such a matrix is called a rotation matrix, and it was very un-intuitive to me how that works... That's why I asked Clodsire to explain it.

My brain is currently feeling very scrambled, but I think it makes some more sense now after Clodsire's explanation.

re: math 

@wallhackio @vaporeon_ I’m tired and I blacked out about 3 words in I’m sorry

math 

@vaporeon_ @wallhackio you people are smarter than me how do you pull proofs for random shit out of your ass

re: math 

@cam @wallhackio Not "you people", only Clodsire, I am big stupid idiot who didn't know how to prove that formula

re: math 

@vaporeon_ @wallhackio idk I stopped math at calculus and I hardly learned that. I didn’t even take linear algebra

re: math 

@cam @wallhackio Multivariate is when you take derivatives or integrals of functions of more than one variable, right? I barely passed the exam, but I wouldn't say that I understand it properly (though I for sure could take a derivative of multiple variables if you asked me to). We had some complicated stuff in the last weeks, and at that point I had given up, and now I can't even remember what it was called :psyduck:

re: math 

@cam @wallhackio I found the lecture PDFs on my hard drive (it's in German, so it won't help if I send it to Clodsire), so in case Clodsire wants to infodump on me about the topics that I forgot and/or never understood:

We did integrals on curves and then on surfaces and that's when I gave up, I don't think I can do an integral on a surface or even understand what's being asked of me :blobcatverysad:

I also forgot what a divergence is and I had given up by the point that we covered whatever this is

re: math 

@vaporeon_ @cam there's a great book called Div Grad Curl if this interests you and you would like a presentation that gives a good balance of formality and conceptual intuition

re: math 

@wallhackio @cam ISBN 0393925161, Div, grad, curl, and all that: an informal text on vector calculus, by H. M. Schey? (Because in that case, our library has it, perhaps I could borrow it for the next holidays...)

re: math 

@cam @vaporeon_ I looked it up once on YouTube and someone showed how and now I know

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