Recent content by Caramon

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...

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...

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...

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?

Which is exactly why I voted for Shape Dynamics and Shape Dynamics only.

Thank you very much, that clarifies a lot.

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...

Yes, I understand that now. Hopefully that helped.

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...?

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...

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

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...

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...

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...

Would it be a good idea, in preparation for a PhD program in Theoretical Physics, to just double major in Math as well as Physics in order to get a really firm grounding in Math?