Recent content by thirdchildikari

Probably one of the best experiences I've had as an undergraduate so far has been failing my first exam since third grade in a sophomore-level modern physics course (the material was along the lines of X-ray scattering, if I recall). I choked, and got a whopping 59, even though I felt like I...

Well isn't that very modest of you to say. I'm glad your username really fits your personality, or so it seems.

Interesting. I know the question my professor posed was only for primes, but I may toy with this just to see, and maybe help my understanding of the concept as a whole.

That's what I had originally meant, yeah. It's sort of hard to write it out, I've found. It's something like 1\cdot 2 + 1\cdot 3 \cdots 1 \cdot p + 2\cdot 3 +2\cdot 4 \cdots (p-1)\cdot p, I believe.

I just thought I'd throw in here that the other day in class we were trying to figure out how to calculate curl in spherical coordinates, and Boas only has cylindrical coordinates. Kinda disappointing, considering some of the questions in the text would me much easier to solve in spherical...

Yeah, that's a result that my text has, actually. I've felt like it would play a role for a while now. I think I'm finally starting to understand this concept though. Let me know, if you would, if this line of thought seems correct: Say instead of the n I originally introduced, I instead...

Wait...no...that's not right.

Wow...what I had here was really bad...working on it, still..

My mistake, it has to be an odd prime greater than 3.

In retrospect, this post may not belong in this particular sub forum, as it does relate to a course I'm taking.

So I'm taking an introductory number theory course as an undergraduate, and this particular "genre" of questions really just has me stumped. Pick a prime p such that p is odd. Now, take various sums up of natural numbers from 1 to p, and show that the results are divisible by p. For...

...wow...why did I not see that hours ago? Thanks a ton...I'm really sort of awestruck at how simple that was and how I didn't see it sooner.

Homework Statement A circuit is said to be in resonance if it's complex impedance Z (in terms of R, L, and C (being the resistance, inductance, and capacitance)) is real. We are to determine the resonance angular frequency \omega in terms of R, L, and C. Homework Equations The circuit is...

Even if the puck is on ice, I wouldn't automatically assume no friction. Otherwise hockey pucks could be tapped slightly and potentially go across entire arenas. I'd say include at least a small friction force opposing motion.

For a time I became interested in lucid dreaming (gaining consciousness while dreaming), and researched the various substances that increase the chances of becoming lucid. I noted that most items I found info about were commonly used to eliminate jet lag and "reset one's biological clock," so to...