Well it's all about building foundations and moving up and if they're professional I'm sure they took the time to make sure they had those solid foundations and work much longer at it than you do.
But that doesn't demote any of the progress you've made.
You should be proud of yourself.
@Zee I'm more of a jay-z fan. I also like Earl Sweatshirt.
besides I don't really play music for other people, for me it's a way to connect with heritage so I don't really think in terms of how presentable it is to others
My dad has always thought that I was a good musical person because when I played guitar I could always play decent music. (pink floyds "is there anybody out there?" for one) but I'm really musically incompetent... I guess it's all dependent on opinion.
Well, I am not looking to perform at all. I play to learn something new and to escape for a little bit.
@Zee I am 23 years old. I have no friends, only a girlfriend. everything I do is mostly for my own enjoyment. I go fishing to catch fish for me, not to post it on facebook (which I don't have) I play piano to get better and to relax. I do math because it's beautiful.
What topic or branch of mathematics, or type of manipulation does this question & answer involve?: http://i.imgur.com/VAuiKH4.png
I'm being taught a specific syllabus and have exam for this specific component, this question supposedly being a part of it that we've never learnt, hmm.
@TedShifrin I solved that parametric surface problem. Don't need fancy approximations and stuff. The solution is actually superior that what I would've had without it.
But yeah I won't be doing both of them. Basically, I'm doing algebra for sure, logic if I'm later gonna do grad geotop, core bio, and either grad Sougi or Calegariplex
@Astyx j'essaye de montrer que "si de toute suite on peut extraire une sous suite convergente alors on peut recouvrir l'espace par un nombre finie de boules de rayon $\varepsilon$"
I want a diffeomorphism $f : [0, 1] \to [0, 1]$ such that it preserves particular strictly decreasing sequence $\{x_n\}$ with $x_n \to 0$, and $f(x_k) = x_{k+1}$. I can produce such an $f$ which is $C^2$, right?
Meh, sure, why not. Like $x/2$ with $1, 1/2, 1/4, 1/8, \cdots$ works, modulo bumping stuff up to make it compactly supported away from $0$ :P
Procède par l'absurde, suppose que l'on peut en extraire une sous suite convergente, alors à partir d'un certain rang tous les termes sont à moins de $\epsilon/2$ de la limite
@EricSilva It really depends on what you mean by computation. The question is really whether I could do the same computation in my head with enough time, and that's often not true.
Some tensor calculation no way I could understand out loud
Hello, I am looking for a book/problem set on lattices and universal algebra with a lot of "is this a complete lattice", "is this a homomorphism of algebras", "is this class closed under H, S, P?" problems. Can anyone please recommend?
@Mike that's a very point. I was thinking something along the lines of a tensor calculation. It's weird for me because I actually usually can do those calculations in my head but I absolutely cannot verbalize my process until the end or i get lost.
So if the line is parametrized by $t$, the equation of the line is $f(t) = c + vt$. For $t = t_i$ that takes values $(x_i, x_i^2, x_i^3)$ where $i = 1, 2, 3$?
Probably the right way to do this is not the tricky way I just outlined, but rather to start from $$r_1=\sqrt{r^2-ar\cos\theta+a^2/4}=r\sqrt{1-\frac{a}{r}\cos\theta+(a/2r)^2}$$
