# Recent content by Caramon

1. ### The Shape of Spacetime.

Just as an outsider reading this whole twofish-Ken G debate going on, I'll have two comments to make: 1) It has been very entertaining and as an undergraduate I have learned a lot from looking up a paper on a topic I did not know about when it was mentioned. 2) Twofish looks like he has a...
2. ### Is it normal to not understand any homework questions?

Don't be disheartened if you can't figure out questions after trying for a long time. I took a upper-division logic class on Godel's Incompleteness Theorems, Model Theory, etc. and it took me a few hours to understand what the questions on the assignments were EVEN ASKING. I spent over 100 hours...
3. ### What math topics to learn next

The following is the sequence I would recommend given your background. First and foremost: 1) Learn Linear Algebra! If you want a proof based approach I would recommend reading the chapter you need from Hoffman/Kunze, otherwise you can learn the computations and basic ideas from Gilbert Strang's...
4. ### Math REUs 2012

Has anyone heard back from UCLA Logic Summer School? I haven't received a rejection letter but I also haven't heard ANYTHING. Has anyone else been rejected or accepted to this program? Does this mean I'm on a wait list?
5. ### Our picks for fourth quarter 2011 MIP (most important QG paper)

Which is exactly why I voted for Shape Dynamics and Shape Dynamics only.
6. ### Characterizing Affine Independence

Thank you very much, that clarifies a lot.
7. ### Characterizing Affine Independence

Hello, I'm currently self-studying "An Introduction to Convex Polytopes" and I'm having some trouble understanding the different characterizations of affine independence. I understand that for an n-family (x_{1},...,x_{n}) of points from R^{d}, it is affinely independent if a linear combination...
8. ### How to figure out which deal on Soap is the best?

Yes, I understand that now. Hopefully that helped.
9. ### Cos(x) question! How would you call 'x'?

A variable? There's no set word to describe whatever variable you insert inside of a trigonometric function. You just say that it is the parameter in terms of which the function is defined...?
10. ### Cos(x) question! How would you call 'x'?

Integration by Substitution? Let x = \theta ? The symbol \theta is pronounced theta? No idea what you are talking about. Just so you know, there is no simpler form to: \frac{sin(\theta)}{cos(2 \theta)} IT DOES NOT EQUAL: tan(\frac{1}{2} \theta) No idea if this helps, still have no...
11. ### How to figure out which deal on Soap is the best?

Oh no it doesn't. Sorry I thought you meant 1 bar of 120g soap costs $2 and you want 2 of them, so that would be$4. Yeah, that doesn't affect anything. Just follow the ratios and you'll be fine! :D
12. ### How to figure out which deal on Soap is the best?

Both of those deals are exactly the same. Check the ratio of the grams of soap you are getting for the amount of money. First one: \frac{120g}{\$2} = \frac{60g}{\$} So we have 60 grams per dollar for the soap. Second one: \frac{90g}{\$1.50} = \frac{60g}{\$} So, again...
13. ### How to figure out which deal on Soap is the best?

Both of those deals are exactly the same. Check the ratio of the grams of soap you are getting for the amount of money. First one: \frac{120g}{\$2} = \frac{60g}{\$} So we have 60 grams per dollar for the soap. Second one: \frac{90g}{\$1.50} = \frac{60g}{\$} So, again we got 60 grams...
14. ### Functional Derivatives/Euler-Lagrange

Homework Statement Hi, I'm working on research and I hit a roadblock with something that should be very simple but I can't solve it because it gets so messy. If anyone can let me know how to do this, it would be greatly appreciated. I have a functional T: T = \int_{\lambda_{1}}^{\lambda_{2}}...
15. ### Research vs Home for the summer

If this is the summer between your first and second year then definitely go home and see friends and family. Spend your quality time during the summer having a break and just don't worry about school! If this was in between your second and third year then I may have different advice, and if this...