Recent content by JohnDuck

Homework Statement Calculate the power transported down the cables of Example 7.13 assuming the two conductors are held at potential difference V and carry current I. The cable in example 7.13 is "a long coaxial cable" with inner radius a and outer radius b. Homework Equations...

Little off-topic, but here goes: I'm curious, is this not true in some integer base?

It's possible I might find some work at my home uni. I think most of the RA and TA positions are reserved for grad students, which would seem to defeat the purpose of my break. It's something which bears further investigation though.

I'm currently finishing up my third year of university, set to graduate in a year or year and a half with a B.S. in mathematics. I'd like to go on to graduate school, but I'm beginning to have serious reservations. Mostly I'm concerned that I will not be able to get into grad school; my GPA is...

I'm not really familiar with quantum mechanics, but I think it's safe to say that anything like that will at the very least be grounded in multivariate calculus, including ordinary and partial differential equations. Each of these is typically a semester long undergraduate course. I'm not going...

\frac{3\pi}{4}?

That's the "problem" with inverse trig functions--since, for example, there are an infinite number of solutions for y to the equation \tan{y} = x, in order for f(x) = \arctan{x} to be a well-defined function, you have to consider it as mapping to a particular interval of angles. Without...

Sounds like you're interested mostly in calculus of a single variable. If you want to understand it very formally and fundamentally, you'll want to look into books on introductory real analysis. "Principles of Mathematical Analysis" by Walter Rudin is regarded as particularly good. One word of...

I think that's an unrealistic assessment. Most people on this forum presumably enjoy learning for the sake of learning, but you need credits and ticked boxes if you want to (for instance) apply to grad school or get a relevant job.

I drove through New Mexico once. It seemed nice. Hope this was helpful.

So the only site I haven't heard from now is http://www.csuchico.edu/math/REUT.shtml. Has anybody else heard anything from them?

So I applied for a number of REU sites earlier this year. So far I've only heard back from one (and they didn't accept me). As the end of the academic year approaches, I need to start considering where I'll live and how I'll employ myself during the summer, but I've been putting off those...

I can try. First consider that the binary expansion of an integer is a string of finite length consisting of 1's and 0's. For brevity, when I mention strings I'll mean specifically strings of 1's and 0's. Let the set Sn = {strings of length <= n}, where n is an integer. Then a concatenation...

I'm an undergrad math major who has recently taken an interest in normal numbers. I've just decided to begin to seriously read about them, and I was wondering if anyone here could point me in the right direction (in terms of which papers to read, for example). I'm wondering what other...

Sorry, could you elaborate on that? It's not clear to me how to calculate the induced current, considering the dimensions of the loop are not given.