Recent content by PWiz

Thanks, I got it!

Homework Statement Provide a complete formal proof that ## \vdash ((A \rightarrow B) \rightarrow C) \rightarrow (B \rightarrow C)##. Homework Equations I am only allowed to use modus ponens and these four 'sentential logic' axioms: A1 ## \neg \alpha \rightarrow (\alpha \rightarrow \beta)## A2...

My visualizations usually go by avatars, and in case I don't encounter anything distinctive there, I just read the username a few times - a picture that relates to some past memory or experience of mine almost always pops up.

Oh, I didn't realize that you were talking about objects which are gaining/losing invariant mass. (You'd only mentioned mass in your post.) But even in that case, the equation is identical to its non-relativistic version with just the 3-vectors replaced by 4-vectors, and this corroborates Dale's...

This might probably help: http://www2.physics.umd.edu/~yakovenk/teaching/Lorentz.pdf (Fellow PF member bhobba had posted this link here sometime ago)

This is exactly my point - appearances can be manipulated at will, and the result does not always reflect the personality of a person. You cannot determine the intent behind an appearance just by looking at it. Plus, different people will draw different conclusions on the things they see, so...

Well, I have long hair, and I trim regularly because I don't like having facial hair. Some people think I look feminine, but I don't see what the issue is. What exactly makes someone 'masculine' or 'feminine'? Is it fair to label those who don't conform to these "standards" as eccentric? I would...

Is the order of the reaction known? If the order is fractional, the reaction is likely to include free radicals. The order can also be used to point to the number of molecules involved in the rate determining step of the decomposition, and this, along with the structural information of the...

You have to get a LOT of other good stuff too, but I won't discuss it because that will be off-topic here. That seems like an interesting idea. I might try it when I start college (provided there is no rule forbidding such a practice, which is probable). I think this method is likely to work...

I've made some remarks of my own below, but I must state that I do not hold any degree in Economics, nor have I ever formally studied it, so excuse any gross errors. I think one should consider the fact that all of these people had no guarantee whether their debtors would eventually repay or...

Congratulations to all the winners! This forum just wouldn't be the same without your contributions :smile: (Now I can retain my license for making silly errors!)

Sorry for the late reply, I've been extremely busy with my common app. You're right. Maybe if I don't think a lot about how my admission chances are being affected by the interview, I'll be better off. I think I've been misunderstood here. I'm not pinning all my hopes on getting into one...

Aren't these things archived?

Too bad it's not a guitar, otherwise you could just sit on it for a couple of decades and then sell it as a vintage to make a small fortune.