@Hippalectryon free ebooks brother =P plus I have a fairly good book grant .. although I don't use that much :P .. I stay in the institutes library all day long :P
@Owatch Open cmd in the directory where you download it and type "pip install wheel" then "pip install the_file_.whl". You might need admin privileges, I don't remember.
@Hippalectryon Yes, but I wanted to say the next time you meet with those tough professors that give hard questions, ask them all at once to calculate it. Then one day you might like to tell me the result. :-)
I really have absolutely no idea what people are talking about when it comes to pip. All answers keep telling me to install it from the command line using a script I don't have.
@robjohn I'm able to do any variant (referring especially to all odd power of $n$ for $n\ge5$, but I also include the smaller cases, no matter it's even or odd).
@Owatch I'm a bit puzzled as to what happens with sun+earth+moon though, for some reason the moon doesn't seem to orbit around the earth. To see that uncomment the commented parts
@Gato Now it depends if you enjoy this area, if you feel a particular attraction to it, because otherwise it might be just a loss of time. You need to work A LOT in this area, do research, solve, create, do research, solve, create, do research and so on.
@Gato It's more than mathematics, it's an art! I'd doubt you'll get much satisfaction without investing much time in research, I think you also wanna solve things and find ways that no one has found before.
@TedShifrin They opened personal mail as though it was mailed to the complex itself, took the stipend check that was from my father and made out to me, and cashed it as a payment from me to them.
@skillpatrol They owe me, now, technically. The check was worth way more than rent + overages + final damage costs (i.e. replacing blinds, etc.). Alright, now my lips are sealed.
@Fargle: No need to say more. But I had an experience my first year in grad school where my landlords were total toadstools (this, a horrid apartment building famous for having math grad students, including Yau when he was a grad student). We had terrible amounts of water leakage and damage, and it hurt my health as well. They were too cheap to get professionals to repair it. So after all that, we didn't clean the carpets, and they kept our cleaning/security deposit. I was livid.
Fantastic, @MikeM. You were very lucky. Just cost what you had to pay the cabby. Very lucky.
That's not how the cab company charges delivery service. Hotel staff (who knew the company) was livid when they heard me say how much it was. But I didn't have much of a choice in the matter.
the only point that i was trying to make is that I don't even know if it's possible to prove something is a homotopy invariant while making choices as in cellular, simplicial homology
(there are cases where you can - and in fact must - make choices like that when you're constructing certain homeomorphism invariants of manifolds. eg I don't think there's a known definition of heegaard floer homology that doesn't start with a heegaard splitting of a 3-manifold, which is analagous to a CW-structure on a space. at least, one that doesn't cheat.)
i guess this is fundamentally because there's only so many heegaard splittings of a given 3-manifold, so you get nice results about stabilization, but there's "plenty" of spaces homotopy equivalent to a given space
I mean using the computational method one usually defines the determinant as in a linear algebra course. As Ted points out, it is much better to use row operations first.
@MikeMiller: That was exactly my argument, but I wasn't sure how accurate it was. First of all, the linking number must be one right? Also, is it clear that we can map any such configuration to the one you mention?
@MichaelAlbanese: There are links with both circles unknotted, linking number zero, that aren't the unlink. The linking number is a very coarse invariant.
When I was talking to him about things I want to learn my advisor looked away, thought to himself for a minute, and then said "Yes, you still have time to learn things."
Hi!!! It is given that $n \in \mathbb{N}$ and $A \in M_n(\mathbb{C})$ with $A^m=I$ for some $m \in \mathbb{N}$. How can we show that the matrix $A$ is diagonalizable?
He's super enthusiastic, which is always a good thing, especially for web-based learning, @Stan. If I were more legally-inclined, I'd love to learn from him. :)
Lalo Schifrin wrote for films and TV. Not my dad, @MikeM.
