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@Gaveuxifort but wouldn't that be boring 3d? PageRank or Neural nets have would have higher dimensions (still not infinite like in quantum theory or the visible spectrum of which we only see a three dimensional projection)
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@phorkyas
It doesn't have to be in Hilbert space, simply 3D Navier-Stokes equation with unsteady, pressure gradients and viscous flow we can't solve it analytically. Schrödinger equation? That's purely what quantum computers for -
@Gaveuxifort Sure, sadly looking at soliton solutions was the closest I got to that equations in 10 years physics at university.
(But for me with vectors you usually do linear things, so why go nonlinear? Even in random matrixes there is still so much unknown? https://terrytao.wordpress.com/cate... )
But if OP wants a taste of matrix stuff, he might just write some matlab code (or Octave of course). -
@phorkyas
??? Korteweg-de Vries equation is a nonlinear PDE.
Also are you wondering why we try to solve nonlinear PDEs or am I missing something? -
also being able to call BLAS to do the matrix operation is one thing, being able to write down yourself is a different level of understanding, depends on what OP's after...but through the original post, it seems OP struggled to find the purpose of learning vector for the field he's into although it has everything to do with it.
Related Rants
I started Aeronautical Engeneering (yes I know, but I love Aviation). In second semester I saw Basic Programming, and then I realized that I had an ability in programming (comparing to my other fellows).
In third semester I was in "Static" class (vectors and a lot of physics) and I thought: "WTF am doing here, I don't know what can I do with a vector in real life." So I decided to switch to Systems Engeneering in other university (I think it had been always in my blood haha).
I saw one semester and this happened: I loved the career, but the university had an old-educational method that i hated. So i moved to another university, and I'm currently finishing at distance.
I'm just tired of university. I realized that the university is about 30%. The other 70% is experience (and of course a little from Stack Overflow hahaha).
Now, thanks to a lot of Google research and experience in various self projects, I'm here in Brazil working as a Web Developer.
I've learned 1000% more here than in the university.
And that's my short-four-years-story
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